From 13f988a70653463000090b3377c532ad7d09f516 Mon Sep 17 00:00:00 2001 From: Russell O'Connor Date: Wed, 1 Mar 2023 13:16:51 -0500 Subject: [PATCH] Squashed 'src/simplicity/' content from commit 9415e7e256 git-subtree-dir: src/simplicity git-subtree-split: 9415e7e256b9a38de0848273469a40fc3211188e --- Makefile | 50 + ascii.h | 34 + bitstream.c | 230 + bitstream.h | 78 + bitstring.h | 35 + bounded.h | 27 + callonce.h | 30 + dag.c | 660 + dag.h | 391 + deserialize.c | 231 + deserialize.h | 46 + errorCodes.h | 21 + eval.c | 835 ++ eval.h | 58 + frame.c | 178 + frame.h | 200 + hashBlock.c | 187 + hashBlock.h | 22 + include/simplicity/elements/env.h | 115 + include/simplicity/elements/exec.h | 32 + jets-secp256k1.c | 625 + jets.c | 327 + jets.h | 98 + precomputed.h | 54 + prefix.h | 3 + primitive.h | 40 + primitive/elements/checkSigHashAllTx1.c | 34 + primitive/elements/checkSigHashAllTx1.h | 26 + primitive/elements/env.c | 593 + primitive/elements/exec.c | 104 + primitive/elements/jets.c | 1166 ++ primitive/elements/jets.h | 106 + primitive/elements/ops.c | 123 + primitive/elements/ops.h | 46 + primitive/elements/primitive.c | 443 + primitive/elements/primitive.h | 271 + primitive/elements/primitiveEnumJet.inc | 164 + primitive/elements/primitiveEnumTy.inc | 107 + primitive/elements/primitiveInitJet.inc | 164 + primitive/elements/primitiveInitTy.inc | 107 + primitive/elements/primitiveJetNode.inc | 979 ++ rsort.c | 134 + rsort.h | 49 + schnorr0.c | 35 + schnorr0.h | 26 + schnorr6.c | 35 + schnorr6.h | 26 + secp256k1/README.md | 31 + secp256k1/assumptions.h | 80 + secp256k1/ecmult.h | 38 + secp256k1/ecmult_impl.h | 839 ++ secp256k1/ecmult_static_pre_g.h | 16611 ++++++++++++++++++++++ secp256k1/extrakeys.h | 37 + secp256k1/extrakeys_impl.h | 42 + secp256k1/field.h | 124 + secp256k1/field_10x26.h | 50 + secp256k1/field_10x26_impl.h | 1236 ++ secp256k1/field_5x52.h | 55 + secp256k1/field_5x52_asm_impl.h | 502 + secp256k1/field_5x52_impl.h | 563 + secp256k1/field_5x52_int128_impl.h | 279 + secp256k1/field_impl.h | 136 + secp256k1/group.h | 147 + secp256k1/group_impl.h | 641 + secp256k1/modinv32.h | 39 + secp256k1/modinv32_impl.h | 437 + secp256k1/modinv64.h | 43 + secp256k1/modinv64_impl.h | 431 + secp256k1/scalar.h | 90 + secp256k1/scalar_4x64.h | 19 + secp256k1/scalar_4x64_impl.h | 466 + secp256k1/scalar_8x32.h | 19 + secp256k1/scalar_8x32_impl.h | 691 + secp256k1/scalar_impl.h | 263 + secp256k1/schnorrsig.h | 28 + secp256k1/schnorrsig_impl.h | 93 + secp256k1/secp256k1.h | 61 + secp256k1/secp256k1_impl.h | 67 + secp256k1/util.h | 196 + sha256.c | 195 + sha256.h | 317 + tag.h | 41 + test.c | 439 + type.c | 90 + type.h | 85 + typeInference.c | 572 + typeInference.h | 94 + unreachable.h | 17 + uword.h | 54 + 89 files changed, 35603 insertions(+) create mode 100644 Makefile create mode 100644 ascii.h create mode 100644 bitstream.c create mode 100644 bitstream.h create mode 100644 bitstring.h create mode 100644 bounded.h create mode 100644 callonce.h create mode 100644 dag.c create mode 100644 dag.h create mode 100644 deserialize.c create mode 100644 deserialize.h create mode 100644 errorCodes.h create mode 100644 eval.c create mode 100644 eval.h create mode 100644 frame.c create mode 100644 frame.h create mode 100644 hashBlock.c create mode 100644 hashBlock.h create mode 100644 include/simplicity/elements/env.h create mode 100644 include/simplicity/elements/exec.h create mode 100644 jets-secp256k1.c create mode 100644 jets.c create mode 100644 jets.h create mode 100644 precomputed.h create mode 100644 prefix.h create mode 100644 primitive.h create mode 100644 primitive/elements/checkSigHashAllTx1.c create mode 100644 primitive/elements/checkSigHashAllTx1.h create mode 100644 primitive/elements/env.c create mode 100644 primitive/elements/exec.c create mode 100644 primitive/elements/jets.c create mode 100644 primitive/elements/jets.h create mode 100644 primitive/elements/ops.c create mode 100644 primitive/elements/ops.h create mode 100644 primitive/elements/primitive.c create mode 100644 primitive/elements/primitive.h create mode 100644 primitive/elements/primitiveEnumJet.inc create mode 100644 primitive/elements/primitiveEnumTy.inc create mode 100644 primitive/elements/primitiveInitJet.inc create mode 100644 primitive/elements/primitiveInitTy.inc create mode 100644 primitive/elements/primitiveJetNode.inc create mode 100644 rsort.c create mode 100644 rsort.h create mode 100644 schnorr0.c create mode 100644 schnorr0.h create mode 100644 schnorr6.c create mode 100644 schnorr6.h create mode 100644 secp256k1/README.md create mode 100644 secp256k1/assumptions.h create mode 100644 secp256k1/ecmult.h create mode 100644 secp256k1/ecmult_impl.h create mode 100644 secp256k1/ecmult_static_pre_g.h create mode 100644 secp256k1/extrakeys.h create mode 100644 secp256k1/extrakeys_impl.h create mode 100644 secp256k1/field.h create mode 100644 secp256k1/field_10x26.h create mode 100644 secp256k1/field_10x26_impl.h create mode 100644 secp256k1/field_5x52.h create mode 100644 secp256k1/field_5x52_asm_impl.h create mode 100644 secp256k1/field_5x52_impl.h create mode 100644 secp256k1/field_5x52_int128_impl.h create mode 100644 secp256k1/field_impl.h create mode 100644 secp256k1/group.h create mode 100644 secp256k1/group_impl.h create mode 100644 secp256k1/modinv32.h create mode 100644 secp256k1/modinv32_impl.h create mode 100644 secp256k1/modinv64.h create mode 100644 secp256k1/modinv64_impl.h create mode 100644 secp256k1/scalar.h create mode 100644 secp256k1/scalar_4x64.h create mode 100644 secp256k1/scalar_4x64_impl.h create mode 100644 secp256k1/scalar_8x32.h create mode 100644 secp256k1/scalar_8x32_impl.h create mode 100644 secp256k1/scalar_impl.h create mode 100644 secp256k1/schnorrsig.h create mode 100644 secp256k1/schnorrsig_impl.h create mode 100644 secp256k1/secp256k1.h create mode 100644 secp256k1/secp256k1_impl.h create mode 100644 secp256k1/util.h create mode 100644 sha256.c create mode 100644 sha256.h create mode 100644 tag.h create mode 100644 test.c create mode 100644 type.c create mode 100644 type.h create mode 100644 typeInference.c create mode 100644 typeInference.h create mode 100644 unreachable.h create mode 100644 uword.h diff --git a/Makefile b/Makefile new file mode 100644 index 00000000000..b77b2bf0f3b --- /dev/null +++ b/Makefile @@ -0,0 +1,50 @@ +OBJS := bitstream.o dag.o deserialize.o eval.o frame.o jets.o jets-secp256k1.o rsort.o sha256.o type.o typeInference.o primitive/elements/env.o primitive/elements/exec.o primitive/elements/ops.o primitive/elements/jets.o primitive/elements/primitive.o +TEST_OBJS := test.o hashBlock.o schnorr0.o schnorr6.o primitive/elements/checkSigHashAllTx1.o + +# From https://fastcompression.blogspot.com/2019/01/compiler-warnings.html +CWARN := -Werror -Wall -Wextra -Wcast-qual -Wcast-align -Wstrict-aliasing -Wpointer-arith -Winit-self -Wshadow -Wswitch-enum -Wstrict-prototypes -Wmissing-prototypes -Wredundant-decls -Wfloat-equal -Wundef -Wconversion + +ifneq ($(doCheck), 1) +CPPFLAGS := $(CPPFLAGS) -DNDEBUG +endif + +ifneq ($(strip $(SINGLE_THREADED)),) + # SINGLE_THREADED is non-empty + CPPFLAGS := $(CPPFLAGS) -DSINGLE_THREADED +endif + +CFLAGS := -I include + +ifeq ($(strip $(SINGLE_THREADED)),) + # SINGLE_THREADED is empty + LDFLAGS := -pthread +endif + +# libsecp256k1 is full of conversion warnings, so we compile jets-secp256k1.c separately. +jets-secp256k1.o: jets-secp256k1.c + $(CC) -c $(CFLAGS) $(CWARN) -Wno-conversion $(CPPFLAGS) -o $@ $< + +primitive/elements/jets.o: primitive/elements/jets.c + $(CC) -c $(CFLAGS) $(CWARN) -Wno-switch-enum -Wswitch $(CPPFLAGS) -o $@ $< + +%.o: %.c + $(CC) -c $(CFLAGS) $(CWARN) $(CPPFLAGS) -o $@ $< + +libElementsSimplicity.a: $(OBJS) + ar rcs $@ $^ + +test: $(TEST_OBJS) libElementsSimplicity.a + $(CC) $^ -o $@ $(LDFLAGS) + +install: libElementsSimplicity.a + mkdir -p $(out)/lib + cp $^ $(out)/lib/ + cp -R include $(out)/include + +check: test + ./test + +clean: + -rm -f test libElementsSimplicity.a $(TEST_OBJS) $(OBJS) + +.PHONY: install check clean diff --git a/ascii.h b/ascii.h new file mode 100644 index 00000000000..7e7428dfc2f --- /dev/null +++ b/ascii.h @@ -0,0 +1,34 @@ +_Static_assert( + 0x20 == ' ' && 0x40 == '@' && 0x60 == '`' && + 0x21 == '!' && 0x41 == 'A' && 0x61 == 'a' && + 0x22 == '"' && 0x42 == 'B' && 0x62 == 'b' && + 0x23 == '#' && 0x43 == 'C' && 0x63 == 'c' && + 0x24 == '$' && 0x44 == 'D' && 0x64 == 'd' && + 0x25 == '%' && 0x45 == 'E' && 0x65 == 'e' && + 0x26 == '&' && 0x46 == 'F' && 0x66 == 'f' && + 0x27 == '\'' && 0x47 == 'G' && 0x67 == 'g' && + 0x28 == '(' && 0x48 == 'H' && 0x68 == 'h' && + 0x29 == ')' && 0x49 == 'I' && 0x69 == 'i' && + 0x2a == '*' && 0x4a == 'J' && 0x6a == 'j' && + 0x2b == '+' && 0x4b == 'K' && 0x6b == 'k' && + 0x2c == ',' && 0x4c == 'L' && 0x6c == 'l' && + 0x2d == '-' && 0x4d == 'M' && 0x6d == 'm' && + 0x2e == '.' && 0x4e == 'N' && 0x6e == 'n' && + 0x2f == '/' && 0x4f == 'O' && 0x6f == 'o' && + 0x30 == '0' && 0x50 == 'P' && 0x70 == 'p' && + 0x31 == '1' && 0x51 == 'Q' && 0x71 == 'q' && + 0x32 == '2' && 0x52 == 'R' && 0x72 == 'r' && + 0x33 == '3' && 0x53 == 'S' && 0x73 == 's' && + 0x34 == '4' && 0x54 == 'T' && 0x74 == 't' && + 0x35 == '5' && 0x55 == 'U' && 0x75 == 'u' && + 0x36 == '6' && 0x56 == 'V' && 0x76 == 'v' && + 0x37 == '7' && 0x57 == 'W' && 0x77 == 'w' && + 0x38 == '8' && 0x58 == 'X' && 0x78 == 'x' && + 0x39 == '9' && 0x59 == 'Y' && 0x79 == 'y' && + 0x3a == ':' && 0x5a == 'Z' && 0x7a == 'z' && + 0x3b == ';' && 0x5b == '[' && 0x7b == '{' && + 0x3c == '<' && 0x5c == '\\' && 0x7c == '|' && + 0x3d == '=' && 0x5d == ']' && 0x7d == '}' && + 0x3e == '>' && 0x5e == '^' && 0x7e == '~' && + 0x3f == '?' && 0x5f == '_' +, "ASCII character set required"); diff --git a/bitstream.c b/bitstream.c new file mode 100644 index 00000000000..47978365d06 --- /dev/null +++ b/bitstream.c @@ -0,0 +1,230 @@ +#include "bitstream.h" + +#include +#include +#include + +/* Closes a bitstream by consuming all remaining bits. + * Returns false if CHAR_BIT or more bits remain in the stream or if any remaining bits are non-zero. + * + * Precondition: NULL != stream + */ +bool closeBitstream(bitstream* stream) { + if (1 < stream->len) return false; /* If there is more than one byte remaining. */ + if (1 == stream->len && /* If there is one byte remaining */ + (0 == stream->offset || /* and either no bits have been consumed */ + 0 != (*stream->arr & (UCHAR_MAX >> stream->offset)) /* or any of the unconsumed bits are non-zero */ + )) return false; + /* Otherwise there are either 0 bits remaining or there are between 1 and CHAR_BITS-1 bits remaining and they are all zero. */ + *stream = (bitstream){0}; + return true; +} + +/* Fetches up to 31 bits from 'stream' as the 'n' least significant bits of return value. + * The 'n' bits are set from the MSB to the LSB. + * Returns 'SIMPLICITY_ERR_BITSTREAM_EOF' if not enough bits are available. + * + * Precondition: 0 <= n < 32 + * NULL != stream + */ +int32_t readNBits(int n, bitstream* stream) { + assert(0 <= n && n < 32); + + uint32_t result = 0; + while (CHAR_BIT <= stream->offset + n) { + if (!stream->len) return SIMPLICITY_ERR_BITSTREAM_EOF; + n -= CHAR_BIT - stream->offset; + result |= (uint32_t)(*stream->arr & (UCHAR_MAX >> stream->offset)) << n; + stream->arr++; stream->len--; stream->offset = 0; + } + /* stream->offset + n < CHAR_BIT */ + if (n) { + if (!stream->len) return SIMPLICITY_ERR_BITSTREAM_EOF; + stream->offset += (unsigned char)n; + result |= (*stream->arr >> (CHAR_BIT - stream->offset)) & ((UCHAR_MAX >> (CHAR_BIT - n))); + } + return (int32_t)result; +} +/* Decode an encoded bitstring up to length 1. + * If successful returns the length of the bitstring and 'result' contains the decoded bits. + * The decoded bitstring is stored in the LSBs of 'result', with the LSB being the last bit decoded. + * Any remaining bits in 'result' are reset to 0. + * If the decoded bitstring would be too long 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' is returned ('result' may be modified). + * If more bits are needed than available in the 'stream', 'SIMPLICITY_ERR_BITSTRING_EOF' is returned ('result' may be modified). + * If an I/O error occurs when reading from the 'stream', 'SIMPLICITY_ERR_BISTRING_ERROR' is returned ('result' may be modified). + * + * Precondition: NULL != result + * NULL != stream + */ +static int32_t decodeUpto1Bit(int32_t* result, bitstream* stream) { + *result = read1Bit(stream); + if (*result <= 0) return *result; + + *result = read1Bit(stream); + if (*result < 0) return *result; + if (0 != *result) return SIMPLICITY_ERR_DATA_OUT_OF_RANGE; + + *result = read1Bit(stream); + if (*result < 0) return *result; + return 1; +} + +/* Decode an encoded number between 1 and 3 inclusive. + * When successful returns the decoded result. + * If the decoded value would be too large, 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' is returned. + * If more bits are needed than available in the 'stream', 'SIMPLICITY_ERR_BITSTRING_EOF' is returned. + * If an I/O error occurs when reading from the 'stream', 'SIMPLICITY_ERR_BISTRING_ERROR' is returned. + * + * Precondition: NULL != stream + */ +static int32_t decodeUpto3(bitstream* stream) { + int32_t result; + int32_t len = decodeUpto1Bit(&result, stream); + if (len < 0) return len; + result |= 1 << len; + return result; +} + +/* Decode an encoded bitstring up to length 3. + * If successful returns the length of the bitstring and 'result' contains the decoded bits. + * The decoded bitstring is stored in the LSBs of 'result', with the LSB being the last bit decoded. + * Any remaining bits in 'result' are reset to 0. + * If the decoded bitstring would be too long 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' is returned ('result' may be modified). + * If more bits are needed than available in the 'stream', 'SIMPLICITY_ERR_BITSTRING_EOF' is returned ('result' may be modified). + * If an I/O error occurs when reading from the 'stream', 'SIMPLICITY_ERR_BISTRING_ERROR' is returned ('result' may be modified). + * + * Precondition: NULL != result + * NULL != stream + */ +static int32_t decodeUpto3Bits(int32_t* result, bitstream* stream) { + int32_t bit = read1Bit(stream); + if (bit < 0) return bit; + + *result = 0; + if (0 == bit) { + return 0; + } else { + int32_t n = decodeUpto3(stream); + if (0 <= n) { + *result = readNBits(n, stream); + if (*result < 0) return *result; + } + return n; + } +} + +/* Decode an encoded number between 1 and 15 inclusive. + * When successful returns the decoded result. + * If the decoded value would be too large, 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' is returned. + * If more bits are needed than available in the 'stream', 'SIMPLICITY_ERR_BITSTRING_EOF' is returned. + * If an I/O error occurs when reading from the 'stream', 'SIMPLICITY_ERR_BISTRING_ERROR' is returned. + * + * Precondition: NULL != stream + */ +static int32_t decodeUpto15(bitstream* stream) { + int32_t result; + int32_t len = decodeUpto3Bits(&result, stream); + if (len < 0) return len; + result |= 1 << len; + return result; +} + +/* Decode an encoded bitstring up to length 15. + * If successful returns the length of the bitstring and 'result' contains the decoded bits. + * The decoded bitstring is stored in the LSBs of 'result', with the LSB being the last bit decoded. + * Any remaining bits in 'result' are reset to 0. + * If the decoded bitstring would be too long 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' is returned ('result' may be modified). + * If more bits are needed than available in the 'stream', 'SIMPLICITY_ERR_BITSTRING_EOF' is returned ('result' may be modified). + * If an I/O error occurs when reading from the 'stream', 'SIMPLICITY_ERR_BISTRING_ERROR' is returned ('result' may be modified). + * + * Precondition: NULL != result + * NULL != stream + */ +static int32_t decodeUpto15Bits(int32_t* result, bitstream* stream) { + int32_t bit = read1Bit(stream); + if (bit < 0) return bit; + + *result = 0; + if (0 == bit) { + return 0; + } else { + int32_t n = decodeUpto15(stream); + if (0 <= n) { + *result = readNBits(n, stream); + if (*result < 0) return *result; + } + return n; + } +} + +/* Decode an encoded number between 1 and 65535 inclusive. + * When successful returns the decoded result. + * If the decoded value would be too large, 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' is returned. + * If more bits are needed than available in the 'stream', 'SIMPLICITY_ERR_BITSTRING_EOF' is returned. + * If an I/O error occurs when reading from the 'stream', 'SIMPLICITY_ERR_BISTRING_ERROR' is returned. + * + * Precondition: NULL != stream + */ +static int32_t decodeUpto65535(bitstream* stream) { + int32_t result; + int32_t len = decodeUpto15Bits(&result, stream); + if (len < 0) return len; + result |= 1 << len; + return result; +} + +/* Decode an encoded number between 1 and 2^31 - 1 inclusive. + * When successful returns the decoded result. + * If the decoded value would be too large, 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' is returned. + * If more bits are needed than available in the 'stream', 'SIMPLICITY_ERR_BITSTRING_EOF' is returned. + * If an I/O error occurs when reading from the 'stream', 'SIMPLICITY_ERR_BISTRING_ERROR' is returned. + * + * Precondition: NULL != stream + */ +int32_t decodeUptoMaxInt(bitstream* stream) { + int32_t bit = read1Bit(stream); + if (bit < 0) return bit; + if (0 == bit) { + return 1; + } else { + int32_t n = decodeUpto65535(stream); + if (n < 0) return n; + if (30 < n) return SIMPLICITY_ERR_DATA_OUT_OF_RANGE; + { + int32_t result = readNBits(n, stream); + if (result < 0) return result; + return ((1 << n) | result); + } + } +} + +/* Fills a 'bitstring' containing 'n' bits from 'stream'. + * Returns 'SIMPLICITY_ERR_BITSTREAM_EOF' if not enough bits are available. + * If successful, '*result' is set to a bitstring with 'n' bits read from 'stream' and 0 is returned. + * + * If an error is returned '*result' might be modified. + * + * Precondition: NULL != result + * n <= 2^31 + * NULL != stream + */ +int32_t readBitstring(bitstring* result, size_t n, bitstream* stream) { + static_assert(0x8000u + 2*(CHAR_BIT - 1) <= SIZE_MAX, "size_t needs to be at least 32-bits"); + assert(n <= 0x8000u); + size_t total_offset = n + stream->offset; + /* |= stream->len * CHAR_BIT < total_offset iff stream->len < (total_offset + (CHAR_BIT - 1)) / CHAR_BIT */ + if (stream->len < (total_offset + (CHAR_BIT - 1)) / CHAR_BIT) return SIMPLICITY_ERR_BITSTREAM_EOF; + /* total_offset <= stream->len * CHAR_BIT */ + *result = (bitstring) + { .arr = stream->arr + , .offset = stream->offset + , .len = n + }; + { + size_t delta = total_offset / CHAR_BIT; + stream->arr += delta; stream->len -= delta; + stream->offset = total_offset % CHAR_BIT; + /* Note that if 0 == stream->len then 0 == stream->offset. */ + } + return 0; +} diff --git a/bitstream.h b/bitstream.h new file mode 100644 index 00000000000..de5c8cf24e0 --- /dev/null +++ b/bitstream.h @@ -0,0 +1,78 @@ +/* This module provides functions for initializing and reading from a stream of bits from a 'FILE'. */ +#ifndef SIMPLICITY_BITSTREAM_H +#define SIMPLICITY_BITSTREAM_H + +#include +#include +#include +#include "bitstring.h" +#include "errorCodes.h" + +/* :TODO: consider adding an 'invalid' state that can be set when parsing has failed and should not be resumed. */ +/* Datatype representing a bit stream. + * Bits are streamed from MSB to LSB. + * + * Invariant: unsigned char arr[len] + * 0 <= offset < CHAR_BIT + * 0 == len implies 0 == offset + */ +typedef struct bitstream { + const unsigned char *arr; /* Underlying byte array */ + size_t len; /* Length of arr (in bytes) */ + unsigned char offset; /* Number of bits parsed from the beginning of arr */ +} bitstream; + +/* Initialize a bit stream, 'stream', from a given byte array. + * Precondition: unsigned char arr[len]; + */ +static inline bitstream initializeBitstream(const unsigned char* arr, size_t len) { + return (bitstream){ .arr = arr, .len = len }; +} + +/* Closes a bitstream by consuming all remaining bits. + * Returns false if CHAR_BIT or more bits remain in the stream or if any remaining bits are non-zero. + * + * Precondition: NULL != stream + */ +bool closeBitstream(bitstream* stream); + +/* Fetches up to 31 bits from 'stream' as the 'n' least significant bits of return value. + * The 'n' bits are set from the MSB to the LSB. + * Returns 'SIMPLICITY_ERR_BITSTREAM_EOF' if not enough bits are available. + * + * Precondition: 0 <= n < 32 + * NULL != stream + */ +int32_t readNBits(int n, bitstream* stream); + +/* Returns one bit from 'stream', 0 or 1. + * Returns 'SIMPLICITY_ERR_BITSTREAM_EOF' if no bits are available. + * + * Precondition: NULL != stream + */ +static inline int32_t read1Bit(bitstream* stream) { + return readNBits(1, stream); +} + +/* Decode an encoded number between 1 and 2^31 - 1 inclusive. + * When successful returns the decoded result. + * If the decoded value would be too large, 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' is returned. + * If more bits are needed than available in the 'stream', 'SIMPLICITY_ERR_BITSTRING_EOF' is returned. + * If an I/O error occurs when reading from the 'stream', 'SIMPLICITY_ERR_BISTRING_ERROR' is returned. + * + * Precondition: NULL != stream + */ +int32_t decodeUptoMaxInt(bitstream* stream); + +/* Fills a 'bitstring' containing 'n' bits from 'stream'. + * Returns 'SIMPLICITY_ERR_BITSTREAM_EOF' if not enough bits are available. + * If successful, '*result' is set to a bitstring with 'n' bits read from 'stream' and 0 is returned. + * + * If an error is returned '*result' might be modified. + * + * Precondition: NULL != result + * n <= 2^31 + * NULL != stream + */ +int32_t readBitstring(bitstring* result, size_t n, bitstream* stream); +#endif diff --git a/bitstring.h b/bitstring.h new file mode 100644 index 00000000000..4ebda613984 --- /dev/null +++ b/bitstring.h @@ -0,0 +1,35 @@ +/* This modules defines a structure representing bit strings. */ +#ifndef SIMPLICITY_BITSTRING_H +#define SIMPLICITY_BITSTRING_H + +#include +#include +#include + +/* Represents a bitstring of length 'len' bits using an array of unsigned char. + * The bit at index 'n', where 0 <= 'n' < 'len', is located at bit '1 << (CHAR_BIT - 1 - (offset + n) % CHAR_BIT)' of + * array element 'arr[(offset + n) / CHAR_BIT]'. + * Other bits in the array may be any value. + * + * Invariant: len <= 2^31 + * offset + length <= SIZE_MAX + * 0 < len implies unsigned char arr[(offset + len - 1) / CHAR_BIT + 1]; + */ +typedef struct bitstring { + const unsigned char* arr; + size_t len; + size_t offset; +} bitstring; + +/* Return the nth bit from a bitstring. + * + * Precondition: NULL != s + * n < s->len; + */ +static inline bool getBit(const bitstring *s, size_t n) { + size_t total_offset = s->offset + n; + assert(n < s->len); + return 1 & (s->arr[total_offset / CHAR_BIT] >> (CHAR_BIT - 1 - (total_offset % CHAR_BIT))); +} + +#endif diff --git a/bounded.h b/bounded.h new file mode 100644 index 00000000000..facff20b45a --- /dev/null +++ b/bounded.h @@ -0,0 +1,27 @@ +#ifndef SIMPLICITY_BOUNDED_H +#define SIMPLICITY_BOUNDED_H + +#include + +static inline size_t max(size_t x, size_t y) { + return x <= y ? y : x; +} + +/* Returns min(x + y, SIZE_MAX) */ +static inline size_t bounded_add(size_t x, size_t y) { + return SIZE_MAX - x < y ? SIZE_MAX : x + y; +} + +/* *x = min(*x + 1, SIZE_MAX) */ +static inline void bounded_inc(size_t* x) { + if (*x < SIZE_MAX) (*x)++; +} + +/* 'pad(false, a, b)' computes the PADL(a, b) function. + * 'pad( true, a, b)' computes the PADR(a, b) function. + */ +static inline size_t pad(bool right, size_t a, size_t b) { + return max(a, b) - (right ? b : a); +} + +#endif diff --git a/callonce.h b/callonce.h new file mode 100644 index 00000000000..af71acd4294 --- /dev/null +++ b/callonce.h @@ -0,0 +1,30 @@ +#ifndef SIMPLICITY_CALLONCE_H +#define SIMPLICITY_CALLONCE_H + +#ifdef SINGLE_THREADED + +typedef struct { _Bool flag; } once_flag; +#define ONCE_FLAG_INIT { 0 } + +static inline void call_once(once_flag* initialized, void (*initialize)(void)) { + if (!initialized->flag) { + initialized->flag = 1; + initialize(); + } +} + +#elif defined __STDC_NO_THREADS__ + +#include + +#define once_flag pthread_once_t +#define ONCE_FLAG_INIT PTHREAD_ONCE_INIT +#define call_once pthread_once + +#else + +#include + +#endif + +#endif diff --git a/dag.c b/dag.c new file mode 100644 index 00000000000..5d4ff83bdea --- /dev/null +++ b/dag.c @@ -0,0 +1,660 @@ +#include "dag.h" + +#include +#include +#include "bounded.h" +#include "callonce.h" +#include "precomputed.h" +#include "prefix.h" +#include "rsort.h" +#include "sha256.h" +#include "tag.h" +#include "uword.h" +#include "unreachable.h" + +/* Prepends Simplicity tag prefixes to a string literal 's'. */ +#define COMMITMENT_TAG(s) SIMPLICITY_PREFIX "\x1F" "Commitment\x1F" s +#define ANNOTATED_TAG(s) SIMPLICITY_PREFIX "\x1F" "Annotated\x1F" s +#define IDENTITY_TAG(s) SIMPLICITY_PREFIX "\x1F" "Identity\x1F" s + +/* Cached initial values for all the tags. + * Only to be accessed through 'cmrIV' or 'amrIV'. + */ +static once_flag static_initialized = ONCE_FLAG_INIT; +static sha256_midstate cmr_compIV, + cmr_caseIV, + cmr_pairIV, + cmr_disconnectIV, + cmr_injlIV, + cmr_injrIV, + cmr_takeIV, + cmr_dropIV, + cmr_idenIV, + cmr_unitIV, + cmr_witnessIV; +static sha256_midstate amr_compIV, + amr_assertlIV, + amr_assertrIV, + amr_caseIV, + amr_pairIV, + amr_disconnectIV, + amr_injlIV, + amr_injrIV, + amr_takeIV, + amr_dropIV, + amr_idenIV, + amr_unitIV, + amr_witnessIV; +static sha256_midstate imr_disconnectIV, + imr_witnessIV; +static sha256_midstate identityIV, + hiddenIV, + jetIV; +static void static_initialize(void) { + MK_TAG(cmr_compIV.s, COMMITMENT_TAG("comp")); + MK_TAG(cmr_caseIV.s, COMMITMENT_TAG("case")); + MK_TAG(cmr_pairIV.s, COMMITMENT_TAG("pair")); + MK_TAG(cmr_disconnectIV.s, COMMITMENT_TAG("disconnect")); + MK_TAG(cmr_injlIV.s, COMMITMENT_TAG("injl")); + MK_TAG(cmr_injrIV.s, COMMITMENT_TAG("injr")); + MK_TAG(cmr_takeIV.s, COMMITMENT_TAG("take")); + MK_TAG(cmr_dropIV.s, COMMITMENT_TAG("drop")); + MK_TAG(cmr_idenIV.s, COMMITMENT_TAG("iden")); + MK_TAG(cmr_unitIV.s, COMMITMENT_TAG("unit")); + MK_TAG(cmr_witnessIV.s, COMMITMENT_TAG("witness")); + MK_TAG(amr_compIV.s, ANNOTATED_TAG("comp")); + MK_TAG(amr_assertlIV.s, ANNOTATED_TAG("assertl")); + MK_TAG(amr_assertrIV.s, ANNOTATED_TAG("assertr")); + MK_TAG(amr_caseIV.s, ANNOTATED_TAG("case")); + MK_TAG(amr_pairIV.s, ANNOTATED_TAG("pair")); + MK_TAG(amr_disconnectIV.s, ANNOTATED_TAG("disconnect")); + MK_TAG(amr_injlIV.s, ANNOTATED_TAG("injl")); + MK_TAG(amr_injrIV.s, ANNOTATED_TAG("injr")); + MK_TAG(amr_takeIV.s, ANNOTATED_TAG("take")); + MK_TAG(amr_dropIV.s, ANNOTATED_TAG("drop")); + MK_TAG(amr_idenIV.s, ANNOTATED_TAG("iden")); + MK_TAG(amr_unitIV.s, ANNOTATED_TAG("unit")); + MK_TAG(amr_witnessIV.s, ANNOTATED_TAG("witness")); + MK_TAG(imr_disconnectIV.s, IDENTITY_TAG("disconnect")); + MK_TAG(imr_witnessIV.s, IDENTITY_TAG("witness")); + MK_TAG(identityIV.s, SIMPLICITY_PREFIX "\x1F" "Identity"); + MK_TAG(hiddenIV.s, SIMPLICITY_PREFIX "\x1F" "Hidden"); + MK_TAG(jetIV.s, SIMPLICITY_PREFIX "\x1F" "Jet"); +} + +/* Given a tag for a node, return the SHA-256 hash of its associated CMR tag. + * This is the "initial value" for computing the commitment Merkle root for that expression. + * + * Precondition: 'tag' \notin {HIDDEN, JET, WORD} + */ +static sha256_midstate cmrIV(tag_t tag) { + call_once(&static_initialized, &static_initialize); + + switch (tag) { + case COMP: return cmr_compIV; + case ASSERTL: + case ASSERTR: + case CASE: return cmr_caseIV; + case PAIR: return cmr_pairIV; + case DISCONNECT: return cmr_disconnectIV; + case INJL: return cmr_injlIV; + case INJR: return cmr_injrIV; + case TAKE: return cmr_takeIV; + case DROP: return cmr_dropIV; + case IDEN: return cmr_idenIV; + case UNIT: return cmr_unitIV; + case WITNESS: return cmr_witnessIV; + /* Precondition violated. */ + case WORD: + case HIDDEN: + case JET: + break; + } + assert(false); + UNREACHABLE; +} + +/* Given a tag for a node, return the SHA-256 hash of its associated IMR tag. + * This is the "initial value" for computing the commitment Merkle root for that expression. + * + * Precondition: 'tag' \notin {HIDDEN, JET, WORD} + */ +static sha256_midstate imrIV(tag_t tag) { + call_once(&static_initialized, &static_initialize); + + return DISCONNECT == tag ? imr_disconnectIV + : WITNESS == tag ? imr_witnessIV + : cmrIV(tag); +} + +/* Given a tag for a node, return the SHA-256 hash of its associated AMR tag. + * This is the "initial value" for computing the annotated Merkle root for that expression. + * + * Precondition: 'tag' \notin {HIDDEN, JET, WORD} + */ +static sha256_midstate amrIV(tag_t tag) { + call_once(&static_initialized, &static_initialize); + + switch (tag) { + case COMP: return amr_compIV; + case ASSERTL: return amr_assertlIV; + case ASSERTR: return amr_assertrIV; + case CASE: return amr_caseIV; + case PAIR: return amr_pairIV; + case DISCONNECT: return amr_disconnectIV; + case INJL: return amr_injlIV; + case INJR: return amr_injrIV; + case TAKE: return amr_takeIV; + case DROP: return amr_dropIV; + case IDEN: return amr_idenIV; + case UNIT: return amr_unitIV; + case WITNESS: return amr_witnessIV; + /* Precondition violated. */ + case HIDDEN: + case JET: + case WORD: + break; + } + assert(false); + UNREACHABLE; +} + +/* Given the IMR of a jet specification, return the CMR for a jet that implements that specification. + * + * Precondition: uint32_t imr[8] + */ +sha256_midstate mkJetCMR(uint32_t *imr) { + call_once(&static_initialized, &static_initialize); + + sha256_midstate result = jetIV; + uint32_t block[16] = {0}; + memcpy(&block[8], imr, sizeof(uint32_t[8])); + sha256_compression(result.s, block); + + return result; +} + +/* Compute the CMR of a jet of scribe(v) : ONE |- TWO^(2^n) that outputs a given bitstring. + * + * Precondition: 2^n == value->len + */ +sha256_midstate computeWordCMR(const bitstring* value, size_t n) { + call_once(&static_initialized, &static_initialize); + + /* 'stack' is an array of 33 hashes consisting of 8 'uint32_t's each. */ + uint32_t stack[8*33] = {0}; + uint32_t *stack_ptr = stack; + sha256_midstate imr = identityIV; + assert(n < 32); + assert((size_t)1 << n == value->len); + /* Pass 1: Compute the CMR for the expression that writes 'value'. + * This expression consists of deeply nested PAIRs of expressions that write one bit each. + * + * :TODO: This can be optimized by a constant factor by precomputing a table of CMRs of expressions + * that, for example, write out every possible byte sequence. + */ + /* stack[0..7] (8 bytes) is kept as all zeros for later. + * We start the stack_ptr at the second item. + */ + for(size_t i = 0; i < value->len; ++i) { + /* stack_ptr == stack + 8* */ + stack_ptr += 8; + memcpy(stack_ptr, &bit_cmr[getBit(value, i)], sizeof(uint32_t[8])); + /* This inner for loop runs in ammortized constant time. */ + for (size_t j = i; j & 1; j = j >> 1) { + sha256_midstate pair = cmrIV(PAIR); + stack_ptr -= 8; + sha256_compression(pair.s, stack_ptr); + memcpy(stack_ptr, pair.s, sizeof(uint32_t[8])); + } + } + /* value->len is a power of 2.*/ + assert(stack_ptr == stack + 8); + + /* Pass 2: Compute the IMR for the expression by adding the type roots of ONE and TWO^(2^n) to the CMR. */ + sha256_compression(imr.s, stack); + memcpy(&stack[0], word_type_root[0].s, sizeof(uint32_t[8])); + memcpy(&stack[8], word_type_root[n+1].s, sizeof(uint32_t[8])); + sha256_compression(imr.s, stack); + + /* Pass 3: Compute the jet's CMR from the specificion's IMR. */ + return mkJetCMR(imr.s); +} + +/* Given a well-formed dag[i + 1], such that for all 'j', 0 <= 'j' < 'i', + * 'dag[j].cmr' is the CMR of the subexpression denoted by the slice + * + * (dag_nodes[j + 1])dag, + * + * then we set the value of 'dag[i].cmr' to be the CMR of the subexpression denoted by 'dag'. + * + * Precondition: dag_node dag[i + 1] and 'dag' is well-formed. + * dag[i].'tag' \notin {HIDDEN, JET, WORD} + */ +void computeCommitmentMerkleRoot(dag_node* dag, const size_t i) { + uint32_t block[16] = {0}; + size_t j = 8; + + assert (HIDDEN != dag[i].tag); + assert (JET != dag[i].tag); + assert (WORD != dag[i].tag); + + dag[i].cmr = cmrIV(dag[i].tag); + + /* Hash the child sub-expression's CMRs (if there are any children). */ + switch (dag[i].tag) { + case COMP: + case ASSERTL: + case ASSERTR: + case CASE: + case PAIR: + memcpy(block + j, dag[dag[i].child[1]].cmr.s, sizeof(uint32_t[8])); + j = 0; + /*@fallthrough@*/ + case DISCONNECT: /* Only the first child is used in the CMR. */ + case INJL: + case INJR: + case TAKE: + case DROP: + memcpy(block + j, dag[dag[i].child[0]].cmr.s, sizeof(uint32_t[8])); + sha256_compression(dag[i].cmr.s, block); + case IDEN: + case UNIT: + case WITNESS: + case HIDDEN: + case JET: + case WORD: + break; + } +} + +/* Computes the identity Merkle roots of every subexpression in a well-typed 'dag' with witnesses. + * 'imr[i]' is set to the identity Merkle root of the subexpression 'dag[i]'. + * When 'HIDDEN == dag[i].tag', then 'imr[i]' is instead set to a hidden root hash for that hidden node. + * + * Precondition: sha256_midstate imr[len]; + * dag_node dag[len] and 'dag' is well-typed with 'type_dag' and contains witnesses. + */ +static void computeIdentityMerkleRoot(sha256_midstate* imr, const dag_node* dag, const type* type_dag, const size_t len) { + call_once(&static_initialized, &static_initialize); + + /* Pass 1 */ + for (size_t i = 0; i < len; ++i) { + uint32_t block[16] = {0}; + size_t j = 8; + + /* For jets, the first pass identity Merkle root is the same as their commitment Merkle root. */ + imr[i] = HIDDEN == dag[i].tag ? dag[i].cmr + : JET == dag[i].tag ? dag[i].cmr + : WORD == dag[i].tag ? dag[i].cmr + : imrIV(dag[i].tag); + switch (dag[i].tag) { + case WITNESS: + sha256_bitstring(block, &dag[i].compactValue); + memcpy(block + 8, type_dag[WITNESS_B(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(imr[i].s, block); + break; + case COMP: + case ASSERTL: + case ASSERTR: + case CASE: + case PAIR: + case DISCONNECT: + memcpy(block + j, imr[dag[i].child[1]].s, sizeof(uint32_t[8])); + j = 0; + /*@fallthrough@*/ + case INJL: + case INJR: + case TAKE: + case DROP: + memcpy(block + j, imr[dag[i].child[0]].s, sizeof(uint32_t[8])); + sha256_compression(imr[i].s, block); + case IDEN: + case UNIT: + case HIDDEN: + case JET: + case WORD: + break; + } + } + + /* Pass 2 */ + for (size_t i = 0; i < len; ++i) { + uint32_t block[16] = {0}; + + if (HIDDEN == dag[i].tag) { + memcpy(block + 8, imr[i].s, sizeof(uint32_t[8])); + imr[i] = hiddenIV; + sha256_compression(imr[i].s, block); + } else { + memcpy(block + 8, imr[i].s, sizeof(uint32_t[8])); + imr[i] = identityIV; + sha256_compression(imr[i].s, block); + memcpy(block, type_dag[dag[i].sourceType].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, type_dag[dag[i].targetType].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(imr[i].s, block); + } + } +} + +/* Given a well-typed dag representing a Simplicity expression, compute the annotated Merkle roots of all subexpressions. + * For all 'i', 0 <= 'i' < 'len', 'analysis[i].annotatedMerkleRoot' will be the AMR of the subexpression denoted by the slice + * + * (dag_nodes[i + 1])dag. + * + * The AMR of the overall expression will be 'analysis[len - 1].annotatedMerkleRoot'. + * + * Precondition: analyses analysis[len]; + * dag_node dag[len] and 'dag' has witness data and is well-typed with 'type_dag'. + * Postconditon: analyses analysis[len] contains the annotated Merkle roots of each subexpressions of 'dag'. + */ +void computeAnnotatedMerkleRoot(analyses* analysis, const dag_node* dag, const type* type_dag, const size_t len) { + for (size_t i = 0; i < len; ++i) { + uint32_t block[16] = {0}; + + /* For jets, their annotated Merkle root is the same as their commitment Merkle root. */ + analysis[i].annotatedMerkleRoot = HIDDEN == dag[i].tag ? dag[i].cmr + : JET == dag[i].tag ? dag[i].cmr + : WORD == dag[i].tag ? dag[i].cmr + : amrIV(dag[i].tag); + switch (dag[i].tag) { + case ASSERTL: + case ASSERTR: + case CASE: + memcpy(block, type_dag[CASE_A(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, + type_dag[CASE_B(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, type_dag[CASE_C(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, type_dag[CASE_D(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, analysis[dag[i].child[0]].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, analysis[dag[i].child[1]].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + break; + case DISCONNECT: + memcpy(block, type_dag[DISCONNECT_A(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, type_dag[DISCONNECT_B(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, type_dag[DISCONNECT_C(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, type_dag[DISCONNECT_D(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, analysis[dag[i].child[0]].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, analysis[dag[i].child[1]].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + break; + case COMP: + memcpy(block + 8, type_dag[COMP_A(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, type_dag[COMP_B(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, type_dag[COMP_C(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, analysis[dag[i].child[0]].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, analysis[dag[i].child[1]].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + break; + case PAIR: + memcpy(block + 8, type_dag[PAIR_A(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, type_dag[PAIR_B(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, type_dag[PAIR_C(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, analysis[dag[i].child[0]].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, analysis[dag[i].child[1]].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + break; + case INJL: + case INJR: + memcpy(block, type_dag[INJ_A(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, type_dag[INJ_B(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, type_dag[INJ_C(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, analysis[dag[i].child[0]].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + break; + case TAKE: + case DROP: + memcpy(block, type_dag[PROJ_A(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, type_dag[PROJ_B(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, type_dag[PROJ_C(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, analysis[dag[i].child[0]].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + break; + case IDEN: + memcpy(block + 8, type_dag[IDEN_A(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + break; + case UNIT: + memcpy(block + 8, type_dag[UNIT_A(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + break; + case WITNESS: + memcpy(block + 8, type_dag[WITNESS_A(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + memcpy(block, type_dag[WITNESS_B(dag, type_dag, i)].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_bitstring(block + 8, &dag[i].compactValue); + sha256_compression(analysis[i].annotatedMerkleRoot.s, block); + break; + case HIDDEN: + case JET: + case WORD: + break; + } + } +} + +/* Verifies that the 'dag' is in canonical order, meaning that nodes under the left branches have lower indices than nodes under + * right branches, with the exception that nodes under right braches may (cross-)reference identical nodes that already occur under + * left branches. + * + * Returns 'true' if the 'dag' is in canonical order, and returns 'false' if it is not. + * + * May modify dag[i].aux values and invalidate dag[i].sourceType and dag[i].targetType. + * This function should only be used prior to calling 'mallocTypeInference'. + * + * Precondition: dag_node dag[len] and 'dag' is well-formed. + */ +bool verifyCanonicalOrder(dag_node* dag, const size_t len) { + size_t bottom = 0; + size_t top = len-1; /* Underflow is checked below. */ + + if (!len) { + assert(false); /* A well-formed dag has non-zero length */ + return true; /* However, an empty dag is technically in canonical order */ + } + + /* We use dag[i].aux as a "stack" to manage the traversal of the DAG. */ + dag[top].aux = len; /* We will set top to 'len' to indicate we are finished. */ + + /* Each time any particular 'top' value is revisted in this loop, bottom has increased to be strictly larger than the last 'child' + value examined. Therefore we will make further progress in the loop the next time around. + By this reasoning any given 'top' value will be visited no more than numChildren(dag[top].tag) + 1 <= 3 times. + Thus this loop iterates at most O('len') times. + */ + while (top < len) { + /* We determine canonical order by iterating through the dag in canonical (pre-)order, + incrementing 'bottom' each time we encounter a node that is (correctly) placed at the 'bottom' index. + We take advantage of the precondition that the dag is well-formed to know in advance that any children + of a node have index strictly less than the node itself. + */ + + /* Check first child. */ + size_t child = dag[top].child[0]; + switch (dag[top].tag) { + case ASSERTL: + case ASSERTR: + case CASE: + case DISCONNECT: + case COMP: + case PAIR: + case INJL: + case INJR: + case TAKE: + case DROP: + if (bottom < child) { + dag[child].aux = top; + top = child; + continue; + } + if (bottom == child) bottom++; + case IDEN: + case UNIT: + case WITNESS: + case HIDDEN: + case JET: + case WORD: + break; + } + + /* Check second child. */ + child = dag[top].child[1]; + switch (dag[top].tag) { + case ASSERTL: + case ASSERTR: + case CASE: + case DISCONNECT: + case COMP: + case PAIR: + if (bottom < child) { + dag[child].aux = top; + top = child; + continue; + } + if (bottom == child) bottom++; + case INJL: + case INJR: + case TAKE: + case DROP: + case IDEN: + case UNIT: + case WITNESS: + case HIDDEN: + case JET: + case WORD: + break; + } + + /* Check current node. */ + if (bottom < top) return false; /* Not in canonical order. */ + if (bottom == top) bottom++; + /* top < bottom */ + top = dag[top].aux; /* Return. */ + } + assert(bottom == top && top == len); + + return true; +} + +/* This function fills in the 'WITNESS' nodes of a 'dag' with the data from 'witness'. + * For each 'WITNESS' : A |- B expression in 'dag', the bits from the 'witness' bitstring are decoded in turn + * to construct a compact representation of a witness value of type B. + * This function only returns 'true' when exactly 'witness.len' bits are consumed by all the 'dag's witness values. + * + * Note: the 'witness' value is passed by copy because the implementation manipulates a local copy of the structure. + * + * Precondition: dag_node dag[len] and 'dag' without witness data and is well-typed with 'type_dag'; + * witness is a valid bitstring; + * + * Postcondition: dag_node dag[len] and 'dag' has witness data and is well-typed with 'type_dag' + * when the result is 'true'; + */ +bool fillWitnessData(dag_node* dag, type* type_dag, const size_t len, bitstring witness) { + for (size_t i = 0; i < len; ++i) { + if (WITNESS == dag[i].tag) { + if (witness.len <= 0) { + /* There is no more data left in witness. */ + dag[i].compactValue = (bitstring){0}; + /* This is fine as long as the witness type is trivial */ + if (type_dag[WITNESS_B(dag, type_dag, i)].bitSize) return false; + } else { + dag[i].compactValue = (bitstring) + { .arr = &witness.arr[witness.offset/CHAR_BIT] + , .offset = witness.offset % CHAR_BIT + , .len = witness.len /* The value of .len will be finalized after the while loop. */ + }; + + /* Traverse the witness type to parse the witness's compact representation as a bit string. */ + size_t cur = typeSkip(WITNESS_B(dag, type_dag, i), type_dag); + bool calling = true; + type_dag[cur].back = 0; + while (cur) { + if (SUM == type_dag[cur].kind) { + /* Parse one bit and traverse the left type or the right type depending on the value of the bit parsed. */ + assert(calling); + if (witness.len <= 0) return false; + bool bit = 1 & (witness.arr[witness.offset/CHAR_BIT] >> (CHAR_BIT - 1 - witness.offset % CHAR_BIT)); + witness.offset++; witness.len--; + size_t next = typeSkip(type_dag[cur].typeArg[bit], type_dag); + if (next) { + type_dag[next].back = type_dag[cur].back; + cur = next; + } else { + cur = type_dag[cur].back; + calling = false; + } + } else { + assert(PRODUCT == type_dag[cur].kind); + size_t next; + if (calling) { + next = typeSkip(type_dag[cur].typeArg[0], type_dag); + if (next) { + /* Traverse the first element of the product type, if it has any data. */ + type_dag[next].back = cur; + cur = next; + continue; + } + } + next = typeSkip(type_dag[cur].typeArg[1], type_dag); + if (next) { + /* Traverse the second element of the product type, if it has any data. */ + type_dag[next].back = type_dag[cur].back; + cur = next; + calling = true; + } else { + cur = type_dag[cur].back; + calling = false; + } + } + } + /* The length of this 'WITNESS' node's witness value is + * the difference between the remaining witness length from before and after parsing. + */ + dag[i].compactValue.len -= witness.len; + + /* Note: Above we use 'typeSkip' to skip over long chains of products against trivial types + * This avoids a potential DOS vulnerability where a DAG of deeply nested products of unit types with sharing is traversed, + * taking exponential time. + * While traversing still could take exponential time in terms of the size of the type's dag, + * at least one bit of witness data is required per PRODUCT type encountered. + * This ought to limit the total number of times through the above loop to no more that 3 * dag[i].witness.len. + */ + /* :TODO: build a test case that creates such a long chain of products with unit types for a witness value. */ + } + } + } + return (0 == witness.len); +} + +/* Computes the identity Merkle roots of every subexpression in a well-typed 'dag' with witnesses. + * imr[i]' is set to the identity Merkle root of the subexpression 'dag[i]'. + * When 'HIDDEN == dag[i].tag', then 'imr[i]' is instead set to a hidden root hash for that hidden node. + * + * If malloc fails, return 'false', otherwise return 'true'. + * If 'true' is returned then '*success' is set to true if all the identity Merkle roots (and hidden roots) are all unique. + * + * Precondition: NULL != success; + * sha256_midstate imr[len]; + * dag_node dag[len] and 'dag' is well-typed with 'type_dag' and contains witnesses. + */ +bool verifyNoDuplicateIdentityRoots(bool* success, sha256_midstate* imr, + const dag_node* dag, const type* type_dag, const size_t len) { + bool result, duplicates; + + computeIdentityMerkleRoot(imr, dag, type_dag, len); + + result = hasDuplicates(&duplicates, imr, len); + *success = result && !duplicates; + + return result; +} diff --git a/dag.h b/dag.h new file mode 100644 index 00000000000..b927a9a938d --- /dev/null +++ b/dag.h @@ -0,0 +1,391 @@ +/* This module defines the structure for Simplicity DAGs, and functions for some analysis of that structure, + * such as computing Merkle Roots. + */ +#ifndef SIMPLICITY_DAG_H +#define SIMPLICITY_DAG_H + +#include +#include +#include "bitstring.h" +#include "jets.h" +#include "type.h" + +/* An enumeration of the various kinds of Simplicity nodes. */ +typedef enum tag_t +{ COMP +, CASE +, ASSERTL +, ASSERTR +, PAIR +, DISCONNECT +, INJL +, INJR +, TAKE +, DROP +, IDEN +, UNIT +, HIDDEN +, WITNESS +, JET +, WORD +} tag_t; + +/* This structure is use to count the different kinds of combinators in a Simplicity DAG. */ +typedef struct combinator_counters { + size_t comp_cnt, case_cnt, pair_cnt, disconnect_cnt, + injl_cnt, injr_cnt, take_cnt, drop_cnt; +} combinator_counters; + +/* Given a tag for an expression, add it to the 'census'. + */ +static inline void enumerator(combinator_counters* census, tag_t tag) { + if (!census) return; + switch (tag) { + case COMP: census->comp_cnt++; return; + case ASSERTL: + case ASSERTR: /* Assertions are counted as CASE combinators. */ + case CASE: census->case_cnt++; return; + case PAIR: census->pair_cnt++; return; + case DISCONNECT: census->disconnect_cnt++; return; + case INJL: census->injl_cnt++; return; + case INJR: census->injr_cnt++; return; + case TAKE: census->take_cnt++; return; + case DROP: census->drop_cnt++; return; + + /* These tags are not accounted for in the census. */ + case IDEN: + case UNIT: + case HIDDEN: + case WITNESS: + case JET: + case WORD: + return; + } +} + +/* Returns the number of children that a Simplicity combinator of the 'tag' kind has. + */ +static inline size_t numChildren(tag_t tag) { + switch (tag) { + case COMP: + case ASSERTL: + case ASSERTR: + case CASE: + case PAIR: + case DISCONNECT: + return 2; + case INJL: + case INJR: + case TAKE: + case DROP: + return 1; + case IDEN: + case UNIT: + case HIDDEN: + case WITNESS: + case JET: + case WORD: + return 0; + } +} + +/* Given the IMR of a jet specification, return the CMR for a jet that implements that specification. + * + * Precondition: uint32_t imr[8] + */ +sha256_midstate mkJetCMR(uint32_t *imr); + +/* Compute the CMR of a jet of scribe(v) : ONE |- TWO^(2^n) that outputs a given bitstring. + * + * Precondition: 2^n == value->len + */ +sha256_midstate computeWordCMR(const bitstring* value, size_t n); + +/* A node the the DAG of a Simplicity expression. + * It consists of a 'tag' indicating the kind of expression the node represents. + * The contents of a node depend on the kind of the expressions. + * The node may have references to children, when it is a combinator kind of expression. + * + * Invariant: 'NULL != jet' when 'tag == JET'; + * bitstring compactValue is active when tag == WITNESS and the node has witness data; + * bitstring compactValue is also active and has a length that is a power of 2 when tag == WORD; + * size_t sourceIx is active when tag == JET; + * size_t child[numChildren(tag)] when tag \notin {HIDDEN, WITNESS, JET, WORD}; + */ +typedef struct dag_node { + jet_ptr jet; + sha256_midstate cmr; + union { + size_t aux; /* Used as scratch space for verifyCanonicalOrder. */ + struct { + size_t sourceType, targetType; + }; + }; + union { + struct { + size_t sourceIx; + }; + struct { + size_t child[2]; + }; + bitstring compactValue; + }; + size_t targetIx; + tag_t tag; +} dag_node; + +/* Inline functions for accessing the type annotations of combinators */ +static inline size_t IDEN_A(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(IDEN == dag[i].tag); + return dag[i].sourceType; +} + +static inline size_t UNIT_A(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(UNIT == dag[i].tag); + return dag[i].sourceType; +} + +static inline size_t COMP_A(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(COMP == dag[i].tag); + return dag[i].sourceType; +} + +static inline size_t COMP_B(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(COMP == dag[i].tag); + return dag[dag[i].child[1]].sourceType; +} + +static inline size_t COMP_C(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(COMP == dag[i].tag); + return dag[i].targetType; +} + +static inline size_t CASE_A(const dag_node* dag, const type* type_dag, size_t i) { + assert(CASE == dag[i].tag || ASSERTL == dag[i].tag || ASSERTR == dag[i].tag); + assert(PRODUCT == type_dag[dag[i].sourceType].kind); + assert(SUM == type_dag[type_dag[dag[i].sourceType].typeArg[0]].kind); + return type_dag[type_dag[dag[i].sourceType].typeArg[0]].typeArg[0]; +} + +static inline size_t CASE_B(const dag_node* dag, const type* type_dag, size_t i) { + assert(CASE == dag[i].tag || ASSERTL == dag[i].tag || ASSERTR == dag[i].tag); + assert(PRODUCT == type_dag[dag[i].sourceType].kind); + assert(SUM == type_dag[type_dag[dag[i].sourceType].typeArg[0]].kind); + return type_dag[type_dag[dag[i].sourceType].typeArg[0]].typeArg[1]; +} + +static inline size_t CASE_C(const dag_node* dag, const type* type_dag, size_t i) { + assert(CASE == dag[i].tag || ASSERTL == dag[i].tag || ASSERTR == dag[i].tag); + assert(PRODUCT == type_dag[dag[i].sourceType].kind); + return type_dag[dag[i].sourceType].typeArg[1]; +} + +static inline size_t CASE_D(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(CASE == dag[i].tag || ASSERTL == dag[i].tag || ASSERTR == dag[i].tag); + return dag[i].targetType; +} + +static inline size_t PAIR_A(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(PAIR == dag[i].tag); + return dag[i].sourceType; +} + +static inline size_t PAIR_B(const dag_node* dag, const type* type_dag, size_t i) { + assert(PAIR == dag[i].tag); + assert(PRODUCT == type_dag[dag[i].targetType].kind); + return type_dag[dag[i].targetType].typeArg[0]; +} + +static inline size_t PAIR_C(const dag_node* dag, const type* type_dag, size_t i) { + assert(PAIR == dag[i].tag); + assert(PRODUCT == type_dag[dag[i].targetType].kind); + return type_dag[dag[i].targetType].typeArg[1]; +} + +static inline size_t DISCONNECT_A(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(DISCONNECT == dag[i].tag); + return dag[i].sourceType; +} + +static inline size_t DISCONNECT_B(const dag_node* dag, const type* type_dag, size_t i) { + assert(DISCONNECT == dag[i].tag); + assert(PRODUCT == type_dag[dag[i].targetType].kind); + return type_dag[dag[i].targetType].typeArg[0]; +} + +static inline size_t DISCONNECT_C(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(DISCONNECT == dag[i].tag); + return dag[dag[i].child[1]].sourceType; +} + +static inline size_t DISCONNECT_D(const dag_node* dag, const type* type_dag, size_t i) { + assert(DISCONNECT == dag[i].tag); + assert(PRODUCT == type_dag[dag[i].targetType].kind); + return type_dag[dag[i].targetType].typeArg[1]; +} + +static inline size_t DISCONNECT_W256A(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(DISCONNECT == dag[i].tag); + return dag[dag[i].child[0]].sourceType; +} + +static inline size_t DISCONNECT_BC(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(DISCONNECT == dag[i].tag); + return dag[dag[i].child[0]].targetType; +} + +static inline size_t INJ_A(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(INJL == dag[i].tag || INJR == dag[i].tag); + return dag[i].sourceType; +} + +static inline size_t INJ_B(const dag_node* dag, const type* type_dag, size_t i) { + assert(INJL == dag[i].tag || INJR == dag[i].tag); + assert(SUM == type_dag[dag[i].targetType].kind); + return type_dag[dag[i].targetType].typeArg[0]; +} + +static inline size_t INJ_C(const dag_node* dag, const type* type_dag, size_t i) { + assert(INJL == dag[i].tag || INJR == dag[i].tag); + assert(SUM == type_dag[dag[i].targetType].kind); + return type_dag[dag[i].targetType].typeArg[1]; +} + +static inline size_t PROJ_A(const dag_node* dag, const type* type_dag, size_t i) { + assert(TAKE == dag[i].tag || DROP == dag[i].tag); + assert(PRODUCT == type_dag[dag[i].sourceType].kind); + return type_dag[dag[i].sourceType].typeArg[0]; +} + +static inline size_t PROJ_B(const dag_node* dag, const type* type_dag, size_t i) { + assert(TAKE == dag[i].tag || DROP == dag[i].tag); + assert(PRODUCT == type_dag[dag[i].sourceType].kind); + return type_dag[dag[i].sourceType].typeArg[1]; +} + +static inline size_t PROJ_C(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(TAKE == dag[i].tag || DROP == dag[i].tag); + return dag[i].targetType; +} + +static inline size_t WITNESS_A(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(WITNESS == dag[i].tag); + return dag[i].sourceType; +} + +static inline size_t WITNESS_B(const dag_node* dag, const type* type_dag, size_t i) { + (void)type_dag; + assert(WITNESS == dag[i].tag); + return dag[i].targetType; +} + +/* A well-formed Simplicity DAG is an array of 'dag_node's, + * + * dag_node dag[len], + * + * such that + * + * 0 < len + * + * and for all 'i', 0 <= 'i' < 'len' and for all 'j', 0 <= 'j' < 'numChildren(dag[i].tag)', + * + * dag[i].child[j] < i + * + * and for all 'i', 0 <= 'i' < 'len', + * + * if dag[dag[i].child[0]].tag == HIDDEN then dag[i].tag == ASSERTR + * + * and + * + * if dag[dag[i].child[1]].tag == HIDDEN then dag[i].tag == ASSERTL + * + * Note that a well-formed Simplicity DAG is not necessarily a well-typed Simplicity DAG. + */ + +/* A structure of static analyses for a particular node of a Simplicity DAG. + * 'annotatedMerkleRoot' is the a Merkle root to includes the type annotations of all subexpressions. + */ +typedef struct analyses { + sha256_midstate annotatedMerkleRoot; +} analyses; + +/* Given a well-formed dag[i + 1], such that for all 'j', 0 <= 'j' < 'i', + * 'dag[j].cmr' is the CMR of the subexpression denoted by the slice + * + * (dag_nodes[j + 1])dag, + * + * then we set the value of 'dag[i].cmr' to be the CMR of the subexpression denoted by 'dag'. + * + * Precondition: dag_node dag[i + 1] and 'dag' is well-formed. + * dag[i].'tag' \notin {HIDDEN, JET, WORD} + */ +void computeCommitmentMerkleRoot(dag_node* dag, size_t i); + +/* Given a well-typed dag representing a Simplicity expression, compute the annotated Merkle roots of all subexpressions. + * For all 'i', 0 <= 'i' < 'len', 'analysis[i].annotatedMerkleRoot' will be the AMR of the subexpression denoted by the slice + * + * (dag_nodes[i + 1])dag. + * + * The AMR of the overall expression will be 'analysis[len - 1].annotatedMerkleRoot'. + * + * Precondition: analyses analysis[len]; + * dag_node dag[len] and 'dag' has witness data and is well-typed with 'type_dag'. + * Postconditon: analyses analysis[len] contains the annotated Merkle roots of each subexpressions of 'dag'. + */ +void computeAnnotatedMerkleRoot(analyses* analysis, const dag_node* dag, const type* type_dag, size_t len); + +/* Verifies that the 'dag' is in canonical order, meaning that nodes under the left branches have lower indices than nodes under + * right branches, with the exception that nodes under right braches may (cross-)reference identical nodes that already occur under + * left branches. + * + * Returns 'true' if the 'dag' is in canonical order, and returns 'false' if it is not. + * + * May modify dag[i].aux values and invalidate dag[i].sourceType and dag[i].targetType. + * This function should only be used prior to calling 'mallocTypeInference'. + * + * Precondition: dag_node dag[len] and 'dag' is well-formed. + */ +bool verifyCanonicalOrder(dag_node* dag, const size_t len); + +/* This function fills in the 'WITNESS' nodes of a 'dag' with the data from 'witness'. + * For each 'WITNESS' : A |- B expression in 'dag', the bits from the 'witness' bitstring are decoded in turn + * to construct a compact representation of a witness value of type B. + * This function only returns 'true' when exactly 'witness.len' bits are consumed by all the 'dag's witness values. + * + * Precondition: dag_node dag[len] and 'dag' without witness data and is well-typed with 'type_dag'; + * witness is a valid bitstring; + * + * Postcondition: dag_node dag[len] and 'dag' has witness data and is well-typed with 'type_dag' + * when the result is 'true'; + */ +bool fillWitnessData(dag_node* dag, type* type_dag, const size_t len, bitstring witness); + +/* Computes the identity Merkle roots of every subexpression in a well-typed 'dag' with witnesses. + * imr[i]' is set to the identity Merkle root of the subexpression 'dag[i]'. + * When 'HIDDEN == dag[i].tag', then 'imr[i]' is instead set to a hidden root hash for that hidden node. + * + * If malloc fails, return 'false', otherwise return 'true'. + * If 'true' is returned then '*success' is set to true if all the identity Merkle roots (and hidden roots) are all unique. + * + * Precondition: NULL != success; + * sha256_midstate imr[len]; + * dag_node dag[len] and 'dag' is well-typed with 'type_dag' and contains witnesses. + */ +bool verifyNoDuplicateIdentityRoots(bool* success, sha256_midstate* imr, + const dag_node* dag, const type* type_dag, const size_t len); + +#endif diff --git a/deserialize.c b/deserialize.c new file mode 100644 index 00000000000..7486d175c25 --- /dev/null +++ b/deserialize.c @@ -0,0 +1,231 @@ +#include "deserialize.h" + +#include +#include +#include +#include "primitive.h" +#include "unreachable.h" + +/* Fetches 'len' 'uint32_t's from 'stream' into 'result'. + * The bits in each 'uint32_t' are set from the MSB to the LSB and the 'uint32_t's of 'result' are set from 0 up to 'len'. + * Returns 'SIMPLICITY_ERR_BITSTREAM_EOF' if not enough bits are available ('result' may be modified). + * Returns 0 if successful. + * + * Precondition: uint32_t result[len]; + * NULL != stream + */ +static int32_t getWord32Array(uint32_t* result, const size_t len, bitstream* stream) { + for (size_t i = 0; i < len; ++i) { + /* Due to error codes, readNBits cannot fetch 32 bits at once. Instead we fetch two groups of 16 bits. */ + int32_t bits16 = readNBits(16, stream); + if (bits16 < 0) return bits16; + result[i] = (uint32_t)bits16 << 16; + bits16 = readNBits(16, stream); + if (bits16 < 0) return bits16; + result[i] |= (uint32_t)bits16; + } + return 0; +} + +/* Fetches a 256-bit hash value from 'stream' into 'result'. + * Returns 'SIMPLICITY_ERR_BITSTREAM_EOF' if not enough bits are available ('result' may be modified). + * Returns 0 if successful. + * + * Precondition: NULL != result + * NULL != stream + */ +static int32_t getHash(sha256_midstate* result, bitstream* stream) { + return getWord32Array(result->s, 8, stream); +} + + +/* Decode a single node of a Simplicity dag from 'stream' into 'dag'['i']. + * Returns 'SIMPLICITY_ERR_FAIL_CODE' if the encoding of a fail expression is encountered + * (all fail subexpressions ought to have been pruned prior to serialization). + * Returns 'SIMPLICITY_ERR_STOP_CODE' if the encoding of a stop tag is encountered. + * Returns 'SIMPLICITY_ERR_HIDDEN' if the decoded node has illegal HIDDEN children. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' if the node's child isn't a reference to one of the preceding nodes. + * or some encoding for a non-existent jet is encountered + * or the size of a WORD encoding is greater than 2^31 bits. + * Returns 'SIMPLICITY_ERR_BITSTRING_EOF' if not enough bits are available in the 'stream'. + * In the above error cases, 'dag' may be modified. + * Returns 0 if successful. + * + * Precondition: dag_node dag[i + 1]; + * i < 2^31 - 1 + * NULL != stream + */ +static int32_t decodeNode(dag_node* dag, size_t i, bitstream* stream) { + int32_t bit = read1Bit(stream); + if (bit < 0) return bit; + dag[i] = (dag_node){0}; + if (bit) { + bit = read1Bit(stream); + if (bit < 0) return bit; + if (bit) { + return decodeJet(&dag[i], stream); + } else { + /* Decode WORD. */ + int32_t depth = decodeUptoMaxInt(stream); + if (depth < 0) return depth; + if (32 < depth) return SIMPLICITY_ERR_DATA_OUT_OF_RANGE; + { + int32_t result = readBitstring(&dag[i].compactValue, (size_t)1 << (depth - 1), stream); + if (result < 0) return result; + } + dag[i].tag = WORD; + dag[i].targetIx = (size_t)depth; + dag[i].cmr = computeWordCMR(&dag[i].compactValue, (size_t)(depth - 1)); + } + } else { + int32_t code = readNBits(2, stream); + if (code < 0) return code; + int32_t subcode = readNBits(code < 3 ? 2 : 1, stream); + if (subcode < 0) return subcode; + for (int32_t j = 0; j < 2 - code; ++j) { + int32_t ix = decodeUptoMaxInt(stream); + if (ix < 0) return ix; + if (i < (uint32_t)ix) return SIMPLICITY_ERR_DATA_OUT_OF_RANGE; + dag[i].child[j] = i - (uint32_t)ix; + } + switch (code) { + case 0: + switch (subcode) { + case 0: dag[i].tag = COMP; break; + case 1: + dag[i].tag = (HIDDEN == dag[dag[i].child[0]].tag) ? ASSERTR + : (HIDDEN == dag[dag[i].child[1]].tag) ? ASSERTL + : CASE; + break; + case 2: dag[i].tag = PAIR; break; + case 3: dag[i].tag = DISCONNECT; break; + } + break; + case 1: + switch (subcode) { + case 0: dag[i].tag = INJL; break; + case 1: dag[i].tag = INJR; break; + case 2: dag[i].tag = TAKE; break; + case 3: dag[i].tag = DROP; break; + } + break; + case 2: + switch (subcode) { + case 0: dag[i].tag = IDEN; break; + case 1: dag[i].tag = UNIT; break; + case 2: return SIMPLICITY_ERR_FAIL_CODE; + case 3: return SIMPLICITY_ERR_STOP_CODE; + } + break; + case 3: + switch (subcode) { + case 0: + dag[i].tag = HIDDEN; + return getHash(&(dag[i].cmr), stream); + case 1: + dag[i].tag = WITNESS; + break; + } + break; + } + + /* Verify that there are no illegal HIDDEN children. */ + for (int32_t j = 0; j < 2 - code; ++j) { + if (HIDDEN == dag[dag[i].child[j]].tag && dag[i].tag != (j ? ASSERTL : ASSERTR)) return SIMPLICITY_ERR_HIDDEN; + } + + computeCommitmentMerkleRoot(dag, i); + } + return 0; +} + +/* Decode a Simplicity DAG consisting of 'len' nodes from 'stream' into 'dag'. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' if some node's child isn't a reference to one of the preceding nodes. + * Returns 'SIMPLICITY_ERR_FAIL_CODE' if the encoding of a fail expression is encountered + * (all fail subexpressions ought to have been pruned prior to deserialization). + * Returns 'SIMPLICITY_ERR_STOP_CODE' if the encoding of a stop tag is encountered. + * Returns 'SIMPLICITY_ERR_HIDDEN' if there are illegal HIDDEN children in the DAG. + * Returns 'SIMPLICITY_ERR_BITSTRING_EOF' if not enough bits are available in the 'stream'. + * In the above error cases, 'dag' may be modified. + * Returns 0 if successful. + * + * Precondition: dag_node dag[len]; + * len < 2^31 + * NULL != stream + */ +static int32_t decodeDag(dag_node* dag, const size_t len, combinator_counters* census, bitstream* stream) { + for (size_t i = 0; i < len; ++i) { + int32_t err = decodeNode(dag, i, stream); + if (err < 0) return err; + + enumerator(census, dag[i].tag); + } + return 0; +} + +/* Decode a length-prefixed Simplicity DAG from 'stream'. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' the length prefix's value is too large. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' if some node's child isn't a reference to one of the preceding nodes. + * Returns 'SIMPLICITY_ERR_FAIL_CODE' if the encoding of a fail expression is encountered + * (all fail subexpressions ought to have been pruned prior to deserialization). + * Returns 'SIMPLICITY_ERR_STOP_CODE' if the encoding of a stop tag is encountered. + * Returns 'SIMPLICITY_ERR_HIDDEN' if there are illegal HIDDEN children in the DAG. + * Returns 'SIMPLICITY_ERR_BITSTRING_EOF' if not enough bits are available in the 'stream'. + * Returns 'SIMPLICITY_ERR_MALLOC' if malloc fails. + * In the above error cases, '*dag' is set to NULL. + * If successful, returns a positive value equal to the length of an allocated array of (*dag). + * + * Precondition: NULL != dag + * NULL != stream + * + * Postcondition: if the return value of the function is positive + * then (dag_node (*dag)[return_value] and '*dag' is a well-formed dag without witness data); + * '*census' contains a tally of the different tags that occur in 'dag' when the return value + * of the function is positive and when NULL != census; + * NULL == *dag when the return value is negative. + */ +int32_t decodeMallocDag(dag_node** dag, combinator_counters* census, bitstream* stream) { + *dag = NULL; + int32_t dagLen = decodeUptoMaxInt(stream); + if (dagLen <= 0) return dagLen; + /* :TODO: a consensus parameter limiting the maximum length of a DAG needs to be enforced here */ + if (PTRDIFF_MAX / sizeof(dag_node) < (size_t)dagLen) return SIMPLICITY_ERR_DATA_OUT_OF_RANGE; + *dag = malloc((size_t)dagLen * sizeof(dag_node)); + if (!*dag) return SIMPLICITY_ERR_MALLOC; + + if (census) *census = (combinator_counters){0}; + int32_t err = decodeDag(*dag, (size_t)dagLen, census, stream); + + if (0 <= err && !verifyCanonicalOrder(*dag, (size_t)(dagLen))) { + err = SIMPLICITY_ERR_DATA_OUT_OF_ORDER; + } + + if (err < 0) { + free(*dag); + *dag = NULL; + return err; + } else { + return dagLen; + } +} + +/* Decode a string of up to 2^31 - 1 bits from 'stream'. + * This is the format in which the data for 'WITNESS' nodes are encoded. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' if the encoded string of bits exceeds this decoder's limits. + * Returns 'SIMPLICITY_ERR_BITSTRING_EOF' if not enough bits are available in the 'stream'. + * If successful, '*witness' is set to the decoded bitstring, + * and 0 is returned. + * + * If an error is returned '*witness' might be modified. + * + * Precondition: NULL != witness; + * NULL != stream; + */ +int32_t decodeWitnessData(bitstring* witness, bitstream* stream) { + int32_t witnessLen = read1Bit(stream); + if (witnessLen < 0) return witnessLen; + if (0 < witnessLen) witnessLen = decodeUptoMaxInt(stream); + if (witnessLen < 0) return witnessLen; + + return readBitstring(witness, (size_t)witnessLen, stream); +} diff --git a/deserialize.h b/deserialize.h new file mode 100644 index 00000000000..b7f3989125a --- /dev/null +++ b/deserialize.h @@ -0,0 +1,46 @@ +/* This module provides functions for deserializing Simplicity's bit-wise prefix coding. */ +#ifndef SIMPLICITY_DESERIALIZE_H +#define SIMPLICITY_DESERIALIZE_H + +#include "bitstream.h" +#include "dag.h" +#include "errorCodes.h" + +/* Decode a length-prefixed Simplicity DAG from 'stream'. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' the length prefix's value is too large. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' if some node's child isn't a reference to one of the preceding nodes. + * Returns 'SIMPLICITY_ERR_FAIL_CODE' if the encoding of a fail expression is encountered + * (all fail subexpressions ought to have been pruned prior to deserialization). + * Returns 'SIMPLICITY_ERR_STOP_CODE' if the encoding of a stop tag is encountered. + * Returns 'SIMPLICITY_ERR_HIDDEN' if there are illegal HIDDEN children in the DAG. + * Returns 'SIMPLICITY_ERR_BITSTRING_EOF' if not enough bits are available in the 'stream'. + * Returns 'SIMPLICITY_ERR_MALLOC' if malloc fails. + * In the above error cases, '*dag' is set to NULL. + * If successful, returns a positive value equal to the length of an allocated array of (*dag). + * + * Precondition: NULL != dag + * NULL != stream + * + * Postcondition: if the return value of the function is positive + * then (dag_node (*dag)[return_value] and '*dag' is a well-formed dag without witness data); + * '*census' contains a tally of the different tags that occur in 'dag' when the return value + * of the function is positive and when NULL != census; + * NULL == *dag when the return value is negative. + */ +int32_t decodeMallocDag(dag_node** dag, combinator_counters* census, bitstream* stream); + +/* Decode a string of up to 2^31 - 1 bits from 'stream'. + * This is the format in which the data for 'WITNESS' nodes are encoded. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' if the encoded string of bits exceeds this decoder's limits. + * Returns 'SIMPLICITY_ERR_BITSTRING_EOF' if not enough bits are available in the 'stream'. + * If successful, '*witness' is set to the decoded bitstring, + * and 0 is returned. + * + * If an error is returned '*witness' might be modified. + * + * Precondition: NULL != witness; + * NULL != stream; + */ +int32_t decodeWitnessData(bitstring* witness, bitstream* stream); + +#endif diff --git a/errorCodes.h b/errorCodes.h new file mode 100644 index 00000000000..ee079b5f409 --- /dev/null +++ b/errorCodes.h @@ -0,0 +1,21 @@ +/* This module defines some constants used for error codes when processing Simplicity. + * Errors can either indicate a transient or a permanent failure. + */ +#ifndef SIMPLICITY_ERRORCODES_H +#define SIMPLICITY_ERRORCODES_H + +/* By convention, odd error codes are transient failures (i.e. out of memory) + * while even error codes are permanent failures (i.e. unexpected end of file or parsing error, etc.) + */ +#define SIMPLICITY_ERR_MALLOC (-1) +#define SIMPLICITY_ERR_BITSTREAM_EOF (-2) +#define SIMPLICITY_ERR_NOT_YET_IMPLEMENTED (-3) +#define SIMPLICITY_ERR_DATA_OUT_OF_RANGE (-4) +#define SIMPLICITY_ERR_DATA_OUT_OF_ORDER (-6) +#define SIMPLICITY_ERR_FAIL_CODE (-8) +#define SIMPLICITY_ERR_STOP_CODE (-10) +#define SIMPLICITY_ERR_HIDDEN (-12) + +#define PERMANENT_FAILURE(err) (!((err) & 1)) + +#endif diff --git a/eval.c b/eval.c new file mode 100644 index 00000000000..b9d18d71bc9 --- /dev/null +++ b/eval.c @@ -0,0 +1,835 @@ +#include "eval.h" + +#include +#include +#include "bounded.h" +#include "unreachable.h" + +/* We choose an unusual representation for frames of the Bit Machine. + * + * An 'n'-bit frame is stored in the array of 'UWORD's of length 'l' where 'l' is the least value such that 'n <= l * UWORD_BIT'. + * Thus there may be extra "padding" bits in the array when 'n < l * UWORD_BIT'. + * + * We choose to store the frames bits in a sequence with the first bits in the last element of the array and + * the last bits in the first element of the array. + * Within a 'UWORD' array element, the bits of the frame are stored with the first bits in the most significant positions + * and the last bits in the least significant positions. + * We choose to put padding bits entirely within the most significant bits of the last element of the array. + * + * Thus the last bit of the frame will always be the least significant bit of the first element of the array. + * When there are no padding bits, the first bit of the frame will be the most significant bit of the last element of the array. + * When there are padding bits, the first bit of the frame will occur at the most significant non-padding bit. + * + * More precisely, bit 'm' of an 'n'-bit frame (with '0 <= m < n') is the bit at position '1 << ((n-m-1) % UWORD_BIT)' + * of the element of the array at index '(n-m-1 / UWORD_BIT)'. + * + * 0-bit frames are allowed, in which case the array will have length 0. + * + * Rationale: + * + * The Bit Machine's standard library of jets operates using a "big endian" representation of integers + * from the Bit Machine's perspective. + * It is often the case that we encounter types that are sums of various integers sizes. + * For example, the Bitcoin primitive 'outputValue : TWO^32 |- ONE + TWO^64' has a target type + * that is the sum of 64-bit integer (with a 0-bit integer). + * + * When a frame is generated from a type such as 'ONE + TWO^64' our representation places the tag for this type + * by itself as the least significant bit of the last element of the frame's array (as long as 'UWORD_BIT' divides 64). + * When this frame contains a value of the right-hand type, 'TWO^64', this value entirely fits perfectly within + * the within the first elements of the array (again, as long as 'UWORD_BIT' divides 64). + * Furthermore, if 'UWORD_BIT == 8', then this representation place this value of type 'TWO^64' + * into the machine's memory in little endian byte order. + * + * All of the above means that when jets need to marshal values from the Bit Machine's representation + * to the architecture's representation, it will often be the case that the data is already byte-aligned and + * in the correct order for little endian processors. + * When a jet marshals a architecture-sized word, and 'UWORD' is the architecture's native integer size, then + * it will often be the case that the data is word-aligned (for both big and little endian processors). + * Only the case when 'UWORD_BIT == 8' and architecture's processor is big-endian will the compiler need to emit + * byte-swapping instructions. + * + * Nevertheless, our implementation is independent of architecture and will function correctly on all architectures + * for any value of UWORD_BIT. + * + * Note: while we do attempt make the fast path for marshaling values for jets common, when assigning discounts to jets + * it is important to only consider the worst case, slow path, behaviour, as good byte or bit alignment is not guaranteed in + * presence of oddly shaped pairs of values. + */ + +/* The main memory used by the Bit Machine during execution is contained in a single allocation of an array of 'UWORD's + * named 'cells'. + * The read and write frames used by the Bit Machine during execution are slices of this single array allocation. + * We represent the read frame and write frame stacks within 'cells' using a [gap buffer](https://en.wikipedia.org/wiki/Gap_buffer). + * The frames of the read frame stack are assigned to the beginning of the cell array + * with the active read frame occurring as the last of these frames. + * The frames of the write frame stack are assigned to the end of the cell array + * with the active write frame occurring as the first of these frames. + * This leaves a (possibly empty) gap of unused UWORDs between the '.edge' of the active read frame + * and the '.edge' of the active write frame. + * This gap will shrink / grow / move during the execution of the Bit Machine. + * Thus whether a particular UWORD from 'cells' belongs to some read frame or write frame will vary during the execution. + * Static analysis determines a safe size that is acceptable for the 'cells' array. + */ + +/* To keep track of the individual frames of the read frame and write frame stacks we another single allocation of + * an array of 'frameItem's called 'frames'. + * This 'frames' array is another instance of a [gap buffer](https://en.wikipedia.org/wiki/Gap_buffer). + * The read frames are tracked by 'frameItem's occurring at the beginning of the 'frames' array + * with the active read frame tracked the last of these 'frameItem's. + * The write frames are tracked by 'frameItem's occurring at the end of the 'frames' array + * with the active write frame tracked the first of these 'frameItem's. + * This leaves a (possibly empty) gap of unused 'frameItem's between the item that tracks active read frame + * and the item that tracks the active write frame. + * This gap will shrink / grow / move during the execution of the Bit Machine. + * Thus whether a particular 'frameItem' from 'frames' tracks a read frame or write frame will vary during the execution. + * The 'frameItem' that tracks the active read frame is located at 'state.activeReadFrame'. + * The 'frameItem' that tracks the active write frame is located at 'state.activeWriteFrame'. + * There is always an active read frame and an active write frame, though these frames are initially of size 0 + * when evaluating Simplicity programs. + * Static analysis determines a safe size that is acceptable for the 'frames' array. + */ + +/* When a 'frameItem' tracks a read frame, its '.edge' field points to the UWORD from 'cell' that is + * one-past-the-end of the 'cells' slice that makes up that frame. + * The '.offset' value indirectly tracks the position of the read frame's cursor. + * A cursor at the beginning of a read frame is denoted by an '.offset' value equal to that frame's padding. + * When the frame has no padding, a cursor at the beginning of a read frame is denoted by an '.offset' of 0. + * For each subsequent cursor position within the read frame, the '.offset' increments by one. + * When the cursor is at (one-cell past) the end of the read frame, the '.offset' value will be equal to the total number of bits + * allocated for the frame (including padding bits), which is necessarily some multiple of (UWORD_BIT). + * We say "a read frame is valid for /n/ more cells" when '.edge - ROUND_UWORD(.offset + n)' points to a + * 'UWORD[ROUND_UWORD(.offset + n)]' array of initialized values. + * We say "a read frame is valid" if it is valid for 0 more cells. + * + * When a 'frameItem' tracks a write frame, its '.edge' field points the UWORD from 'cell' that is + * the first element of the 'cells' slice that makes up that frame. + * The '.offset' value indirectly tracks the position of the write frame's cursor. + * A cursor at the beginning of a read frame is denoted by an '.offset' value equal to + * that frame's number of bits (excluding padding). + * For each subsequent cursor position within the write frame, the '.offset' decrements by one. + * When the cursor is at (one-cell past) the end of the write frame, the '.offset' value will be equal to 0. + * We say "a write frame is valid for /n/ more cells" when '.edge' points to an 'UWORD[ROUND_UWORD(.offset)]' array of + * initialized values and 'n <= .offset'. + * We say "a write frame is valid" if it is valid for 0 more cells. + * + * Notice that the interpretation of the fields of a 'frameItem' depends on whether the 'frameItem' is tracking a read frame or + * a write frame. + */ + +/* Given a read frame, advance its cursor by 'n' cells. + * + * Precondition: NULL != frame. + */ +static void forward(frameItem* frame, size_t n) { + frame->offset += n; +} + +/* Given a read frame, move its cursor backwards by 'n' cells. + * + * Precondition: n <= frame->offset + */ +static void backward(frameItem* frame, size_t n) { + assert(n <= frame->offset); + frame->offset -= n; +} + +/* Given a write frame, advance its cursor by 'n' cells. + * + * Precondition: n <= frame->offset + */ +static void skip(frameItem* frame, size_t n) { + assert(n <= frame->offset); + frame->offset -= n; +} + +/* Given a write frame and a read frame, copy 'n' cells from after the read frame's cursor to after the write frame's cursor, + * Cells in within the write frame beyond 'n' cells after the write frame's cursor may also be overwritten. + * + * Precondition: '*dst' is a valid write frame for 'n' more cells; + * '*src' is a valid read frame for 'n' more cells; + * '0 < n'; + */ +static void copyBitsHelper(const frameItem* dst, const frameItem *src, size_t n) { + /* Pointers to the UWORDs of the read and write frame that contain the frame's cursor. */ + UWORD* src_ptr = src->edge - 1 - src->offset / UWORD_BIT; + UWORD* dst_ptr = dst->edge + (dst->offset - 1) / UWORD_BIT; + /* The specific bit within those UWORDs that is immediately in front of their respective cursors. + * That bit is specifically '1 << (src_shift - 1)' for the read frame, + * and '1 << (dst_shift - 1)' for the write frame, unless 'dst_shift == 0', in which case it is '1 << (UWORD_BIT - 1)'. + */ + size_t src_shift = UWORD_BIT - (src->offset % UWORD_BIT); + size_t dst_shift = dst->offset % UWORD_BIT; + if (dst_shift) { + /* The write frame's current UWORD is partially filled. + * Fill the rest of it without overwriting the existing data. + */ + *dst_ptr = LSBclear(*dst_ptr, dst_shift); + + if (src_shift < dst_shift) { + /* The read frame's current UWORD doesn't have enough data to entirely fill the rest of the write frame's current UWORD. + * Fill as much as we can and move src_ptr to the read frame's next UWORD. + */ + *dst_ptr |= (UWORD)(LSBkeep(*src_ptr, src_shift) << (dst_shift - src_shift)); + if (n <= src_shift) return; + n -= src_shift; + dst_shift -= src_shift; + src_ptr--; + src_shift = UWORD_BIT; + } + + /* Fill the rest of the write frame's current UWORD and move dst_ptr to the write frame's next UWORD. */ + *dst_ptr |= LSBkeep((UWORD)(*src_ptr >> (src_shift - dst_shift)), dst_shift); + if (n <= dst_shift) return; + n -= dst_shift; + src_shift -= dst_shift; + dst_ptr--; + } + /* The next cell in the write frame to be filled begins at the boundary of a UWORD. */ + + /* :TODO: Use static analysis to limit the total amount of copied memory. */ + if (0 == src_shift % UWORD_BIT) { + /* The next cell in the read frame to be filled also begins at the boundary of a UWORD. + * We can use 'memcpy' to copy data in bulk. + */ + size_t m = ROUND_UWORD(n); + /* If we went through the previous 'if (dst_shift)' block then 'src_shift == 0' and we need to decrement src_ptr. + * If we did not go through the previous 'if (dst_shift)' block then 'src_shift == UWORD_BIT' + * and we do not need to decrement src_ptr. + * We have folded this conditional decrement into the equation applied to 'src_ptr' below. + */ + memcpy(dst_ptr - (m - 1), src_ptr - (m - src_shift / UWORD_BIT), m * sizeof(UWORD)); + } else { + while(1) { + /* Fill the write frame's UWORD by copying the LSBs of the read frame's current UWORD + * to the MSBs of the write frame's current UWORD, + * and copy the MSBs of the read frame's next UWORD to the LSBs of the write frame's current UWORD. + * Then move both the src_ptr and dst_ptr to their next UWORDs. + */ + *dst_ptr = (UWORD)(LSBkeep(*src_ptr, src_shift) << (UWORD_BIT - src_shift)); + if (n <= src_shift) return; + + *dst_ptr |= (UWORD)(*(src_ptr - 1) >> src_shift); + if (n <= UWORD_BIT) return; + n -= UWORD_BIT; + dst_ptr--; src_ptr--; + } + } +} + +/* Given a write frame and a read frame, copy 'n' cells from after the read frame's cursor to after the write frame's cursor, + * and then advance the write frame's cursor by 'n'. + * Cells in front of the '*dst's cursor's final position may be overwritten. + * + * Precondition: '*dst' is a valid write frame for 'n' more cells; + * '*src' is a valid read frame for 'n' more cells; + */ +static void copyBits(frameItem* dst, const frameItem* src, size_t n) { + if (0 == n) return; + copyBitsHelper(dst, src, n); + dst->offset -= n; +} + +/* Given a compact bit representation of a value 'v : B', write the value 'v' to a write frame, skipping cells as needed + * and advance its cursor. + * Cells in front of the '*dst's cursor's final position may be overwritten. + * + * :TODO: Consider writing an optimized version of this function for word type 'TWO^(2^n)' which is a very common case and + * doesn't need any skipping of cells. + * + * Precondition: '*dst' is a valid write frame for 'bitSize(B)' more cells; + * 'compactValue' is a compact bitstring representation of a value 'v : B'; + * 'type_dag[typeIx]' is a type dag for the type B. + */ +static void writeValue(frameItem* dst, const bitstring* compactValue, size_t typeIx, type* type_dag) { + size_t cur = typeSkip(typeIx, type_dag); + size_t offset = 0; + bool calling = true; + type_dag[cur].back = 0; + while (cur) { + if (SUM == type_dag[cur].kind) { + assert(calling); + + /* Write one bit to the write frame and then skip over any padding bits. */ + bool bit = getBit(compactValue, offset); + offset++; + writeBit(dst, bit); + skip(dst, pad(bit, type_dag[type_dag[cur].typeArg[0]].bitSize, type_dag[type_dag[cur].typeArg[1]].bitSize)); + + size_t next = typeSkip(type_dag[cur].typeArg[bit], type_dag); + if (next) { + type_dag[next].back = type_dag[cur].back; + cur = next; + } else { + cur = type_dag[cur].back; + calling = false; + } + } else { + assert(PRODUCT == type_dag[cur].kind); + size_t next; + if (calling) { + next = typeSkip(type_dag[cur].typeArg[0], type_dag); + if (next) { + /* Traverse the first element of the product type, if it has any data. */ + type_dag[next].back = cur; + cur = next; + continue; + } + } + next = typeSkip(type_dag[cur].typeArg[1], type_dag); + if (next) { + /* Traverse the second element of the product type, if it has any data. */ + type_dag[next].back = type_dag[cur].back; + cur = next; + calling = true; + } else { + cur = type_dag[cur].back; + calling = false; + } + } + } + /* Note: Above we use 'typeSkip' to skip over long chains of products against trivial types + * This avoids a potential DOS vulnerability where a DAG of deeply nested products of unit types with sharing is traversed, + * taking exponential time. + * While traversing still could take exponential time in terms of the size of the type's dag, + * at least one bit of witness data is required per PRODUCT type encountered. + * This ought to limit the total number of times through the above loop to no more that 3 * compactValue->len. + */ +} + +/* Our representation of the Bit Machine state consists of a gap buffer of 'frameItem's. + * The gap buffer is allocated at 'frame' + * The read frames of the gap buffer extends from the beginning of the buffer to '.activeReadFrame'. + * The write frames extend from the end of the buffer down to '.activeWriteFrame'. + */ +typedef struct evalState { + frameItem* activeReadFrame; + frameItem* activeWriteFrame; +} evalState; + +/* 'call' is an item is used to track the "call stack" of the Bit Machine during evaluation. + * Each call stack frame remembers where to return to after the call and a set of flags to hold various bits of state. + */ +typedef struct call { + size_t return_to; + flags_type flags; +} call; + +#define FLAG_TCO 0x01 // Whether TCO is on (1) or off (0). +#define FLAG_LAST_CASE 0x02 // For case combinators, last branch executed was right (1) or left (0). +#define FLAG_EXEC 0x10 // Whether this combinator has ever been executed (1) or not (0). +#define FLAG_CASE_LEFT 0x20 // For case combinators, whether the left branch has ever been executed (1) or not (0). +#define FLAG_CASE_RIGHT 0x40 // For case combinators, whether the right branch has ever been executed (1) or not (0). + +static inline bool get_tco_flag(const call *stack) { + return FLAG_TCO == (stack->flags & FLAG_TCO); +} + +static inline void set_tco_flag(call *stack, bool flag) { + if (flag) { + stack->flags |= FLAG_TCO; + } else { + stack->flags &= (flags_type)(~FLAG_TCO); + } +} + +static inline bool get_case_last_flag(const call *stack) { + return FLAG_LAST_CASE == (stack->flags & FLAG_LAST_CASE); +} + +static inline void set_case_last_flag(call *stack, bool flag) { + if (flag) { + stack->flags |= FLAG_LAST_CASE; + } else { + stack->flags &= (flags_type)(~FLAG_LAST_CASE); + } +} + +/* Starting from the Bit Machine 'state', + * run the machine with the TCO (off) program generated by the well-typed Simplicity expression 'dag[len]' of type 'A |- B'. + * If an 'assertr' or 'assertl' combinator fails, return 'false', otherwise return 'true'. + * + * The 'state' of the Bit Machine is whatever the state is after the last successfully executed Bit Machine instruction. + * + * ** No heap allocations are allowed in 'runTCO' or any of its subroutines. ** + * + * Precondition: The gap between 'state.activeReadFrame' and 'state.activeWriteFrame' is sufficient for execution of 'dag' + * and the values are initialized; + * The gap between 'activeReadFrame(state)->edge' and 'activeWriteFrame(state)->edge' + * is sufficient for execution of 'dag'; + * '*activeReadFrame(state)' is a valid read frame for 'bitSize(A)' more cells. + * '*activeWriteFrame(state)' is a valid write frame for 'bitSize(B)' more cells. + * call stack[len]; + * for all i < len, stack[i].flags = 0; + * dag_node dag[len] and 'dag' is well-typed with 'type_dag'; + * if 'dag[len]' represents a Simplicity expression with primitives then 'NULL != env'; + */ +static bool runTCO(evalState state, call* stack, const dag_node* dag, type* type_dag, size_t len, const txEnv* env) { +/* The program counter, 'pc', is the current combinator being interpreted. */ + size_t pc = len - 1; + +/* 'stack' represents the interpreter's call stack. + * However, the stack is not directly represented as an array. + * Instead, the bottom of the call stack is located at 'stack[len - 1]' and the top of the call stack is located at 'stack[pc]'. + * The intermediate call stack items are somewhere between 'pc' and 'len - 1'. + * The each call stack item references the one below it through the 'stack[i].return_to' values. + * The bottom of the stack's '.return_to' value is set to 'len' which is an out-of-bounds index. + * + * During CALLs, a new 'stack[i]' value is created where 'i' is index of the combinator being called, + * and 'stack[i].return_to' is set to the current 'pc' value. + * During TAIL_CALLs, 'stack[i].return_to' is instead set to the 'stack[pc].return_to' value. + * During RETURNs, the 'pc' is set to the 'stack[pc].return_to' value. + * TAIL_CALLs allows for faster returns within the interpreter (unrelated to Simplicity's TCO), + * skipping over intermediate combinators. + */ + stack[pc].return_to = len; + set_tco_flag(&stack[pc], false); + +/* 'calling' lets us know if we are entering a CALL or returning from a CALL. */ + bool calling = true; + + /* :TODO: Use static analysis to limit the number of iterations through this loop. */ + while(pc < len) { + stack[pc].flags |= FLAG_EXEC; + tag_t tag = dag[pc].tag; + assert(state.activeReadFrame < state.activeWriteFrame); + assert(state.activeReadFrame->edge <= state.activeWriteFrame->edge); + if (dag[pc].jet) { + if(!dag[pc].jet(state.activeWriteFrame, *state.activeReadFrame, env)) return false; + /* Like IDEN and WITNESS, we want to "fallthrough" to the UNIT case. */ + tag = UNIT; + } + switch (tag) { + case COMP: + if (calling) { + /* NEW_FRAME(BITSIZE(B)) */ + *(state.activeWriteFrame - 1) = initWriteFrame(type_dag[COMP_B(dag, type_dag, pc)].bitSize, state.activeWriteFrame->edge); + state.activeWriteFrame--; + + /* CALL(dag[pc].child[0], SAME_TCO) */ + stack[dag[pc].child[0]].return_to = pc; + set_tco_flag(&stack[dag[pc].child[0]], get_tco_flag(&stack[pc])); + pc = dag[pc].child[0]; + } else { + /* MOVE_FRAME */ + assert(0 == state.activeWriteFrame->offset); + memmove( state.activeReadFrame->edge, state.activeWriteFrame->edge + , (size_t)((state.activeWriteFrame + 1)->edge - state.activeWriteFrame->edge) * sizeof(UWORD) + ); + *(state.activeReadFrame + 1) = initReadFrame(type_dag[COMP_B(dag, type_dag, pc)].bitSize, state.activeReadFrame->edge); + state.activeWriteFrame++; state.activeReadFrame++; + + /* TAIL_CALL(dag[pc].child[1], true) */ + calling = true; + stack[dag[pc].child[1]].return_to = stack[pc].return_to; + set_tco_flag(&stack[dag[pc].child[1]], true); + pc = dag[pc].child[1]; + } + break; + case ASSERTL: + case ASSERTR: + case CASE: + if (calling) { + bool bit = peekBit(state.activeReadFrame); + + if (bit) { + stack[pc].flags |= FLAG_CASE_RIGHT; + } else { + stack[pc].flags |= FLAG_CASE_LEFT; + } + + /* FWD(1 + PADL(A,B) when bit = 0; FWD(1 + PADR(A,B) when bit = 1 */ + forward(state.activeReadFrame, 1 + pad( bit + , type_dag[CASE_A(dag, type_dag, pc)].bitSize + , type_dag[CASE_B(dag, type_dag, pc)].bitSize)); + + /* CONDITIONAL_TAIL_CALL(dag[pc].child[bit]); */ + stack[dag[pc].child[bit]].return_to = get_tco_flag(&stack[pc]) ? stack[pc].return_to : pc; + set_tco_flag(&stack[dag[pc].child[bit]], get_tco_flag(&stack[pc])); + + /* Remember the bit we peeked at for the case when we return. */ + set_case_last_flag(&stack[pc], bit); + + pc = dag[pc].child[bit]; + } else { + /* BWD(1 + PADL(A,B) when bit = 0; BWD(1 + PADR(A,B) when bit = 1 */ + backward(state.activeReadFrame, 1 + pad( get_case_last_flag(&stack[pc]) + , type_dag[CASE_A(dag, type_dag, pc)].bitSize + , type_dag[CASE_B(dag, type_dag, pc)].bitSize)); + + /* RETURN; */ + pc = stack[pc].return_to; + } + break; + case PAIR: + if (calling) { + /* CALL(dag[pc].child[0], false); */ + stack[dag[pc].child[0]].return_to = pc; + set_tco_flag(&stack[dag[pc].child[0]], false); + pc = dag[pc].child[0]; + } else { + /* TAIL_CALL(dag[pc].child[1], SAME_TCO); */ + calling = true; + stack[dag[pc].child[1]].return_to = stack[pc].return_to; + set_tco_flag(&stack[dag[pc].child[1]], get_tco_flag(&stack[pc])); + pc = dag[pc].child[1]; + } + break; + case DISCONNECT: + if (calling) { + /* NEW_FRAME(BITSIZE(WORD256 * A)) */ + *(state.activeWriteFrame - 1) = initWriteFrame(type_dag[DISCONNECT_W256A(dag, type_dag, pc)].bitSize, + state.activeWriteFrame->edge); + state.activeWriteFrame--; + + /* WRITE_HASH(dag[dag[pc].child[1]].cmr) */ + write32s(state.activeWriteFrame, dag[dag[pc].child[1]].cmr.s, 8); + + /* COPY(BITSIZE(A)) */ + copyBits(state.activeWriteFrame, state.activeReadFrame, type_dag[DISCONNECT_A(dag, type_dag, pc)].bitSize); + + if (get_tco_flag(&stack[pc])) { + /* DROP_FRAME */ + state.activeReadFrame--; + } + + /* MOVE_FRAME */ + assert(0 == state.activeWriteFrame->offset); + memmove( state.activeReadFrame->edge, state.activeWriteFrame->edge + , (size_t)((state.activeWriteFrame + 1)->edge - state.activeWriteFrame->edge) * sizeof(UWORD) + ); + *(state.activeReadFrame + 1) = initReadFrame(type_dag[DISCONNECT_W256A(dag, type_dag, pc)].bitSize, + state.activeReadFrame->edge); + state.activeWriteFrame++; state.activeReadFrame++; + + /* NEW_FRAME(BITSIZE(B * C)) */ + *(state.activeWriteFrame - 1) = initWriteFrame(type_dag[DISCONNECT_BC(dag, type_dag, pc)].bitSize, + state.activeWriteFrame->edge); + state.activeWriteFrame--; + + /* CALL(dag[pc].child[0], true) */ + stack[dag[pc].child[0]].return_to = pc; + set_tco_flag(&stack[dag[pc].child[0]], true); + pc = dag[pc].child[0]; + } else { + /* MOVE_FRAME */ + assert(0 == state.activeWriteFrame->offset); + memmove( state.activeReadFrame->edge, state.activeWriteFrame->edge + , (size_t)((state.activeWriteFrame + 1)->edge - state.activeWriteFrame->edge) * sizeof(UWORD) + ); + *(state.activeReadFrame + 1) = initReadFrame(type_dag[DISCONNECT_BC(dag, type_dag, pc)].bitSize, + state.activeReadFrame->edge); + state.activeWriteFrame++; state.activeReadFrame++; + + /* COPY(BITSIZE(B)) */ + copyBits(state.activeWriteFrame, state.activeReadFrame, type_dag[DISCONNECT_B(dag, type_dag, pc)].bitSize); + + /* FWD(BITSIZE(B)) */ + forward(state.activeReadFrame, type_dag[DISCONNECT_B(dag, type_dag, pc)].bitSize); + + /* TAIL_CALL(dag[pc].child[1], true) */ + calling = true; + stack[dag[pc].child[1]].return_to = stack[pc].return_to; + set_tco_flag(&stack[dag[pc].child[1]], true); + pc = dag[pc].child[1]; + } + break; + case INJL: + case INJR: + /* WRITE(0) when INJL; WRITE(1) when INJR */ + writeBit(state.activeWriteFrame, INJR == dag[pc].tag); + + /* SKIP(PADL(A,B)) when INJL; SKIP(PADR(A,B)) when INJR */ + skip(state.activeWriteFrame, pad( INJR == dag[pc].tag + , type_dag[INJ_B(dag, type_dag, pc)].bitSize + , type_dag[INJ_C(dag, type_dag, pc)].bitSize)); + /*@fallthrough@*/ + case TAKE: + assert(calling); + /* TAIL_CALL(dag[pc].child[0], SAME_TCO); */ + stack[dag[pc].child[0]].return_to = stack[pc].return_to; + set_tco_flag(&stack[dag[pc].child[0]], get_tco_flag(&stack[pc])); + pc = dag[pc].child[0]; + break; + case DROP: + if (calling) { + /* FWD(BITSIZE(A)) */ + forward(state.activeReadFrame, type_dag[PROJ_A(dag, type_dag, pc)].bitSize); + + /* CONDITIONAL_TAIL_CALL(dag[pc].child[0]); */ + stack[dag[pc].child[0]].return_to = get_tco_flag(&stack[pc]) ? stack[pc].return_to : pc; + set_tco_flag(&stack[dag[pc].child[0]], get_tco_flag(&stack[pc])); + pc = dag[pc].child[0]; + } else { + /* BWD(BITSIZE(A)) */ + backward(state.activeReadFrame, type_dag[PROJ_A(dag, type_dag, pc)].bitSize); + + /* RETURN; */ + pc = stack[pc].return_to; + } + break; + case IDEN: + case WORD: + case WITNESS: + if (IDEN == tag) { + /* COPY(BITSIZE(A)) */ + copyBits(state.activeWriteFrame, state.activeReadFrame, type_dag[IDEN_A(dag, type_dag, pc)].bitSize); + } else { + writeValue(state.activeWriteFrame, &dag[pc].compactValue, dag[pc].targetType, type_dag); + } + /*@fallthrough@*/ + case UNIT: + assert(calling); + if (get_tco_flag(&stack[pc])) { + /* DROP_FRAME */ + state.activeReadFrame--; + } + + /* RETURN; */ + calling = false; + pc = stack[pc].return_to; + break; + case HIDDEN: return false; /* We have failed an 'ASSERTL' or 'ASSERTR' combinator. */ + case JET: + /* Jets (and primitives) should already have been processed by dag[i].jet already */ + assert(false); + UNREACHABLE; + } + } + assert(pc == len); + + return true; +} + +/* Inspects the stack contents after a successful runTCO execution to verify anti-DOS properties: + * 1. If 'checks' includes CHECK_EXEC, then check that all dag nodes were executed at least once. + * 2. If 'checks' includes CHECK_CASE, then check that both branches of every CASE node were executed. + * + * If these are violated, it means that the dag had unpruned nodes. + * + * Returns false if any of the anti-DOS checks fail. Otherwise returns true. + * + * Precondition: call stack[len]; + * dag_node dag[len]; + */ +static bool antiDos(flags_type checks, const call* stack, const dag_node* dag, size_t len) { + static_assert(CHECK_EXEC == FLAG_EXEC); + static_assert(CHECK_CASE == (FLAG_CASE_LEFT | FLAG_CASE_RIGHT)); + + if (!checks) return true; + + for(size_t i = 0; i < len; ++i) { + /* All combinators must be executed at least once. */ + flags_type test_flags = CHECK_EXEC; + + /* Both branches of every case combinator must be executed at least once. */ + if (CASE == dag[i].tag) test_flags |= CHECK_CASE; + + /* Only enable requested checks */ + test_flags &= checks; + if (test_flags != (test_flags & stack[i].flags)) { + return false; + } + } + + return true; +} + +/* This structure is used by the static analysis that computes bounds on the working memory that suffices for + * the Simplicity interpreter. + */ +typedef struct memBound { + size_t extraCellsBoundTCO[2]; + size_t extraStackBound[2]; /* extraStackBound[0] is for TCO off and extraStackBound[1] is for TCO on */ +} memBound; + +/* :TODO: Document extraStackBoundTCO in the Tech Report (and implement it in Haskell) */ +/* Given a well-typed dag representing a Simplicity expression, set '*dag_bound' to the memory requirement for evaluation. + * For all 'i', 0 <= 'i' < 'len', compute 'bound[i].extraCellsBoundTCO' and 'bound[i].extraStackBoundTCO' + * for the subexpression denoted by the slice + * + * (dag_nodes[i + 1])dag. + * + * Then '*dag_bound' is set to 'bound[len-1]'. + * + * If 'malloc' fails, then return false. + * + * Precondition: NULL != dag_bound + * dag_node dag[len] and 'dag' is well-typed with 'type_dag'. + * Postcondition: if the result is 'true' + * then 'max(dag_bound->extraCellsBoundTCO[0], dag_bound->extraCellsBoundTCO[1]) == SIZE_MAX'. + * or 'dag_bound->extraCellsBoundTCO' characterizes the number of UWORDs needed + * for the frames allocated during evaluation of 'dag'; + * 'dag_bound->extraStackBoundTCO[0] == SIZE_MAX' + * or 'dag_bound->extraStackBoundTCO[0]' bounds the the number of stack frames needed + * during execution of 'dag'; + */ +static bool computeEvalTCOBound(memBound *dag_bound, const dag_node* dag, const type* type_dag, const size_t len) { + memBound* bound = len <= SIZE_MAX / sizeof(memBound) + ? malloc(len * sizeof(memBound)) + : NULL; + if (!bound) return false; + + for (size_t i = 0; i < len; ++i) { + switch (dag[i].tag) { + case ASSERTL: + case ASSERTR: + case CASE: + bound[i].extraCellsBoundTCO[0] = max( bound[dag[i].child[0]].extraCellsBoundTCO[0] + , bound[dag[i].child[1]].extraCellsBoundTCO[0] ); + bound[i].extraCellsBoundTCO[1] = max( bound[dag[i].child[0]].extraCellsBoundTCO[1] + , bound[dag[i].child[1]].extraCellsBoundTCO[1] ); + + bound[i].extraStackBound[0] = max( bound[dag[i].child[0]].extraStackBound[0] + , bound[dag[i].child[1]].extraStackBound[0] ); + bound[i].extraStackBound[1] = max( bound[dag[i].child[0]].extraStackBound[1] + , bound[dag[i].child[1]].extraStackBound[1] ); + break; + case DISCONNECT: + /* :TODO: replace this check with a consensus critical limit. */ + if (SIZE_MAX <= type_dag[DISCONNECT_W256A(dag, type_dag, i)].bitSize || + SIZE_MAX <= type_dag[DISCONNECT_BC(dag, type_dag, i)].bitSize) { + /* 'BITSIZE(WORD256 * A)' or 'BITSIZE(B * C)' has exceeded our limits. */ + bound[i].extraCellsBoundTCO[0] = SIZE_MAX; + bound[i].extraCellsBoundTCO[1] = SIZE_MAX; + } else { + bound[i].extraCellsBoundTCO[1] = ROUND_UWORD(type_dag[DISCONNECT_W256A(dag, type_dag, i)].bitSize); + bound[i].extraCellsBoundTCO[0] = max( + bounded_add( + ROUND_UWORD(type_dag[DISCONNECT_BC(dag, type_dag, i)].bitSize), + max( bounded_add(bound[i].extraCellsBoundTCO[1], bound[dag[i].child[0]].extraCellsBoundTCO[1]) + , max(bound[dag[i].child[0]].extraCellsBoundTCO[0], bound[dag[i].child[1]].extraCellsBoundTCO[1]))), + bound[dag[i].child[1]].extraCellsBoundTCO[0]); + } + bound[i].extraStackBound[0] = bound[i].extraStackBound[1] + = max( bounded_add(1, bound[dag[i].child[0]].extraStackBound[1]) + , bound[dag[i].child[1]].extraStackBound[1]); + bounded_inc(&bound[i].extraStackBound[0]); + break; + case COMP: + /* :TODO: replace this check with a consensus critical limit. */ + if (SIZE_MAX <= type_dag[COMP_B(dag, type_dag, i)].bitSize) { + /* 'BITSIZE(B)' has exceeded our limits. */ + bound[i].extraCellsBoundTCO[0] = SIZE_MAX; + bound[i].extraCellsBoundTCO[1] = SIZE_MAX; + } else { + size_t scratch = ROUND_UWORD(type_dag[COMP_B(dag, type_dag, i)].bitSize); + bound[i].extraCellsBoundTCO[0] = max( bounded_add( scratch + , max( bound[dag[i].child[0]].extraCellsBoundTCO[0] + , bound[dag[i].child[1]].extraCellsBoundTCO[1] )) + , bound[dag[i].child[1]].extraCellsBoundTCO[0] ); + bound[i].extraCellsBoundTCO[1] = bounded_add(scratch, bound[dag[i].child[0]].extraCellsBoundTCO[1]); + } + bound[i].extraStackBound[0] = max( bound[dag[i].child[0]].extraStackBound[0] + , bound[dag[i].child[1]].extraStackBound[1] ); + bounded_inc(&bound[i].extraStackBound[0]); + bound[i].extraStackBound[1] = max( bounded_add(1, bound[dag[i].child[0]].extraStackBound[1]) + , bound[dag[i].child[1]].extraStackBound[1] ); + break; + case PAIR: + bound[i].extraCellsBoundTCO[0] = bound[dag[i].child[1]].extraCellsBoundTCO[0]; + bound[i].extraCellsBoundTCO[1] = max( bound[dag[i].child[0]].extraCellsBoundTCO[0] + , max( bound[dag[i].child[0]].extraCellsBoundTCO[1] + , bound[dag[i].child[1]].extraCellsBoundTCO[1] )); + + bound[i].extraStackBound[0] = max( bound[dag[i].child[0]].extraStackBound[0] + , bound[dag[i].child[1]].extraStackBound[0] ); + bound[i].extraStackBound[1] = max( bound[dag[i].child[0]].extraStackBound[0] + , bound[dag[i].child[1]].extraStackBound[1] ); + break; + case INJL: + case INJR: + case TAKE: + case DROP: + bound[i].extraCellsBoundTCO[0] = bound[dag[i].child[0]].extraCellsBoundTCO[0]; + bound[i].extraCellsBoundTCO[1] = bound[dag[i].child[0]].extraCellsBoundTCO[1]; + bound[i].extraStackBound[0] = bound[dag[i].child[0]].extraStackBound[0]; + bound[i].extraStackBound[1] = bound[dag[i].child[0]].extraStackBound[1]; + break; + case IDEN: + case UNIT: + case HIDDEN: + case WITNESS: + case JET: + case WORD: + bound[i].extraCellsBoundTCO[0] = bound[i].extraCellsBoundTCO[1] = 0; + bound[i].extraStackBound[0] = bound[i].extraStackBound[1] = 0; + } + } + + *dag_bound = bound[len-1]; + free(bound); + return true; +} + +/* Run the Bit Machine on the well-typed Simplicity expression 'dag[len]'. + * If 'NULL != input', initialize the active read frame's data with 'input[ROUND_UWORD(inputSize)]'. + * + * If malloc fails, return 'false', otherwise return 'true'. + * If static analysis results determines the bound on memory allocation requirements exceed the allowed limits, + * '*evalSuccess' is set to 'false'. + * If during execution an 'assertr' or 'assertl' combinator fails, '*evalSuccess' is set to 'false' + * + * If none of the above conditions fail and 'NULL != output', then a copy the final active write frame's data is written to 'output[roundWord(outputSize)]'. + * + * If 'anti_dos_checks' includes the CHECK_EXEC flag, and not every dag node is executed, '*evalSuccess' is set to 'false' + * If 'anti_dos_checks' includes the CHECK_CASE flag, and not every case node has both branches executed, '*evalSuccess' is set to 'false' + * + * Otherwise '*evalSuccess' is set to 'true'. + * + * Precondition: NULL != evalSuccess + * dag_node dag[len] and 'dag' is well-typed with 'type_dag' of type A |- B; + * inputSize == bitSize(A); + * outputSize == bitSize(B); + * output == NULL or UWORD output[ROUND_UWORD(outputSize)]; + * input == NULL or UWORD input[ROUND_UWORD(inputSize)]; + * if 'dag[len]' represents a Simplicity expression with primitives then 'NULL != env'; + */ +bool evalTCOExpression( bool *evalSuccess, flags_type anti_dos_checks, UWORD* output, size_t outputSize, const UWORD* input, size_t inputSize + , const dag_node* dag, type* type_dag, size_t len, const txEnv* env + ) { + memBound bound; + if (!computeEvalTCOBound(&bound, dag, type_dag, len)) return false; + + size_t cellsBound = bounded_add( bounded_add(ROUND_UWORD(inputSize), ROUND_UWORD(outputSize)) + , max(bound.extraCellsBoundTCO[0], bound.extraCellsBoundTCO[1]) + ); + size_t stackBound = bounded_add(bound.extraStackBound[0], 2); + + /* :TODO: add reasonable, consensus critical limits to cells and stack bounds */ + if (SIZE_MAX <= outputSize || SIZE_MAX <= inputSize || SIZE_MAX <= cellsBound || SIZE_MAX <= stackBound) { + *evalSuccess = false; + return true; + } + + /* We use calloc for 'cells' because the frame data must be initialized before we can perform bitwise operations. */ + UWORD* cells = calloc(cellsBound ? cellsBound : 1, sizeof(UWORD)); + frameItem* frames = stackBound <= SIZE_MAX / sizeof(frameItem) + ? malloc(stackBound * sizeof(frameItem)) + : NULL; + call* stack = calloc(len, sizeof(call)); + + const bool result = cells && frames && stack; + if (result) { + if (input) memcpy(cells, input, ROUND_UWORD(inputSize) * sizeof(UWORD)); + + evalState state = + { .activeReadFrame = frames + , .activeWriteFrame = frames + (stackBound - 1) + }; + *(state.activeReadFrame) = initReadFrame(inputSize, cells); + *(state.activeWriteFrame) = initWriteFrame(outputSize, cells + cellsBound); + + *evalSuccess = runTCO(state, stack, dag, type_dag, len, env); + + if (*evalSuccess && output) { + memcpy(output, state.activeWriteFrame->edge, ROUND_UWORD(outputSize) * sizeof(UWORD)); + } + + if (*evalSuccess) *evalSuccess = antiDos(anti_dos_checks, stack, dag, len); + } + + free(stack); + free(frames); + free(cells); + return result; +} diff --git a/eval.h b/eval.h new file mode 100644 index 00000000000..ed6ccc44c6d --- /dev/null +++ b/eval.h @@ -0,0 +1,58 @@ +/* This module provides functions for evaluating Simplicity programs and expressions. + */ +#ifndef SIMPLICITY_EVAL_H +#define SIMPLICITY_EVAL_H + +#include "dag.h" + +typedef unsigned char flags_type; +#define CHECK_NONE 0 +#define CHECK_EXEC 0x10 +#define CHECK_CASE 0x60 +#define CHECK_ALL ((flags_type)(-1)) + +/* Run the Bit Machine on the well-typed Simplicity expression 'dag[len]'. + * If 'NULL != input', initialize the active read frame's data with 'input[ROUND_UWORD(inputSize)]'. + * + * If malloc fails, return 'false', otherwise return 'true'. + * If static analysis results determines the bound on memory allocation requirements exceed the allowed limits, + * '*evalSuccess' is set to 'false'. + * If during execution an 'assertr' or 'assertl' combinator fails, '*evalSuccess' is set to 'false' + * + * If none of the above conditions fail and 'NULL != output', then a copy the final active write frame's data is written to 'output[roundWord(outputSize)]'. + * + * If 'anti_dos_checks' includes the CHECK_EXEC flag, and not every dag node is executed, '*evalSuccess' is set to 'false' + * If 'anti_dos_checks' includes the CHECK_CASE flag, and not every case node has both branches executed, '*evalSuccess' is set to 'false' + * + * Otherwise '*evalSuccess' is set to 'true'. + * + * Note: Consensus applications should be uisng 'evalTCOProgram' which operate on programs and include all anti-DOS checks. + * + * Precondition: NULL != evalSuccess + * dag_node dag[len] and 'dag' is well-typed with 'type_dag' of type A |- B; + * inputSize == bitSize(A); + * outputSize == bitSize(B); + * output == NULL or UWORD output[ROUND_UWORD(outputSize)]; + * input == NULL or UWORD input[ROUND_UWORD(inputSize)]; + * if 'dag[len]' represents a Simplicity expression with primitives then 'NULL != env'; + */ +bool evalTCOExpression( bool *evalSuccess, flags_type anti_dos_checks, UWORD* output, size_t outputSize, const UWORD* input, size_t inputSize + , const dag_node* dag, type* type_dag, size_t len, const txEnv* env + ); + +/* Run the Bit Machine on the well-typed Simplicity program 'dag[len]'. + * + * If malloc fails, return 'false', otherwise return 'true'. + * If static analysis results determines the bound on memory allocation requirements exceed the allowed limits, set '*evalSuccess' to 'false'. + * If during execution an 'assertr' or 'assertl' combinator fails, '*evalSuccess' is set to 'false'. + * If after execution the anti-DOS checks fail, '*evalSuccess' is set to 'false'. + * Otherwise '*evalSuccess' is set to 'true'. + * + * Precondition: NULL != evalSuccess + * dag_node dag[len] and 'dag' is well-typed with 'type_dag' of type 1 |- 1; + * if 'dag[len]' represents a Simplicity expression with primitives then 'NULL != env'; + */ +static inline bool evalTCOProgram(bool *evalSuccess, const dag_node* dag, type* type_dag, size_t len, const txEnv* env) { + return evalTCOExpression(evalSuccess, CHECK_ALL, NULL, 0, NULL, 0, dag, type_dag, len, env); +} +#endif diff --git a/frame.c b/frame.c new file mode 100644 index 00000000000..67d9286ed25 --- /dev/null +++ b/frame.c @@ -0,0 +1,178 @@ +#include "frame.h" + +#define READ_(bits) \ +/* Given a read frame, return the value of the bits cells after the cursor and advance the frame's cursor by bits##. \ + * The cell values are returned with the first cell in the MSB of the result and the last cell in the LSB of the result. \ + * \ + * Precondition: '*frame' is a valid read frame for bits more cells. \ + */ \ +uint_fast##bits##_t read##bits(frameItem* frame) { \ + uint_fast##bits##_t result = 0; \ + /* Pointers to the UWORD of the read frame that contains the frame's cursor (or is immediately after the cursor). */ \ + UWORD* frame_ptr = frame->edge - 1 - frame->offset / UWORD_BIT; \ + /* The specific bit within the above UWORD that is immediately in front of the cursor. \ + * That bit is specifically '1 << (frame_shift - 1)'. \ + */ \ + size_t frame_shift = UWORD_BIT - (frame->offset % UWORD_BIT); \ + size_t n = bits; \ + if (frame_shift < n) { \ + /* We may only want part of the LSBs from the read frame's current UWORD. \ + * Copy that data to 'x', and move the frame_ptr to the frame's next UWORD. \ + */ \ + result |= (uint_fast##bits##_t)((uint_fast##bits##_t)LSBkeep(*frame_ptr, frame_shift) << (n - frame_shift)); \ + frame->offset += frame_shift; \ + n -= frame_shift; \ + frame_shift = UWORD_BIT; \ + frame_ptr--; \ + while (UWORD_BIT < n) { \ + /* Copy the entire read frame's current UWORD to 'x', and move the frame_ptr to the frame's next UWORD. */ \ + result |= (uint_fast##bits##_t)((uint_fast##bits##_t)(*frame_ptr) << (n - UWORD_BIT)); \ + frame->offset += UWORD_BIT; \ + n -= UWORD_BIT; \ + frame_ptr--; \ + } \ + } \ + /* We may only want part of the bits from the middle of the read frame's current UWORD. \ + * Copy that data to fill the remainder of 'x'. \ + */ \ + result |= (uint_fast##bits##_t)(LSBkeep((UWORD)(*frame_ptr >> (frame_shift - n)), n)); \ + frame->offset += n; \ + return result; \ +} +READ_(8) +READ_(16) +READ_(32) +READ_(64) + +#define WRITE_(bits) \ +/* Given a write frame, set the value of the bits cells after the cursor and advance the frame's cursor by bits##. \ + * The first cell is set to the value of the MSB of 'x' and the last cell is set to the LSB of 'x'. \ + * Cells in front of the cursor's final position may be overwritten. \ + * \ + * Precondition: '*frame' is a valid write frame for bits more cells. \ + */ \ +void write##bits(frameItem* frame, uint_fast##bits##_t x) { \ + /* Pointers to the UWORD of the write frame that contains the frame's cursor (or is immediately after the cursor). */ \ + UWORD* frame_ptr = frame->edge + (frame->offset - 1) / UWORD_BIT; \ + /* The specific bit within the above UWORD that is immediately in front of the cursor. \ + * That bit is specifically '1 << (frame_shift - 1)'. \ + */ \ + size_t frame_shift = (frame->offset - 1) % UWORD_BIT + 1; \ + size_t n = bits; \ + if (frame_shift < n) { \ + /* The write frame's current UWORD may be partially filled. \ + * Fill the rest of it with data from 'x', and move the frame_ptr to the frame's next UWORD. \ + */ \ + *frame_ptr = LSBclear(*frame_ptr, frame_shift) | LSBkeep((UWORD)(x >> (n - frame_shift)), frame_shift); \ + frame->offset -= frame_shift; \ + n -= frame_shift; \ + frame_shift = UWORD_BIT; \ + frame_ptr--; \ + while (UWORD_BIT < n) { \ + /* Fill the write frame's entire current UWORD with data from 'x', and move the frame_ptr to the frame's next UWORD. */ \ + *frame_ptr = (UWORD)(x >> (n - UWORD_BIT)); \ + frame->offset -= UWORD_BIT; \ + n -= UWORD_BIT; \ + frame_ptr--; \ + } \ + } \ + /* The current write frame's UWORD may be partially filled. \ + * Fill the UWORD with the last of the data from 'x', which may or may not be enough to fill the rest of the UWORD. \ + */ \ + *frame_ptr = (UWORD)(LSBclear(*frame_ptr, frame_shift) | (LSBkeep((UWORD)x, n) << (frame_shift - n))); \ + frame->offset -= n; \ +} +WRITE_(8) +WRITE_(16) +WRITE_(32) +WRITE_(64) + +/* Read bytes from a Simplicity buffer of type (TWO^8)^<2^(n+1) into 'buf'. + * Set 'len' to the number of bytes read from the buffer. + * Advance the 'src' frame to the end of the buffer type. + * + * The notation X^<2 is notation for the type (S X) + * The notation X^<(2*n) is notation for the type S (X^n) * X^output; + * '*src' is a valid read frame for 838 more cells; + */ +bool read_sha256_context(sha256_context* ctx, frameItem* src) { + size_t len; + uint_fast64_t compressionCount; + + read_buffer8(ctx->block, &len, src, 5); + compressionCount = read64(src); + ctx->counter = ((compressionCount*1U) << 6) + len; + read32s(ctx->output, 8, src); + ctx->overflow = (sha256_max_counter >> 6) <= compressionCount; + return !ctx->overflow; +} + +/* Write data to a Simplicity CTX8 type (TWO^8)^<2^64 * TWO^64 * TWO^256 from a sha256_context value. + * Advance the 'dst' frame to the end of the CTX8 type. + * Returns false if the ctx had overflowed. + * + * The notation X^<2 is notation for the type (S X) + * The notation X^<(2*n) is notation for the type S (X^n) * X^output; + * ctx->counter < 2^61; + */ +bool write_sha256_context(frameItem* dst, const sha256_context* ctx) { + write_buffer8(dst, ctx->block, ctx->counter % 64, 5); + write64(dst, ctx->counter >> 6); + write32s(dst, ctx->output, 8); + return !ctx->overflow; +} diff --git a/frame.h b/frame.h new file mode 100644 index 00000000000..51c1d22cbc7 --- /dev/null +++ b/frame.h @@ -0,0 +1,200 @@ +/* This module provides functions writing initial data to and reading results from the frame used during evaluation + * of Simplicity expressions. + * These helper functions are also used for marshaling data to and from jets. + */ +#ifndef SIMPLICITY_FRAME_H +#define SIMPLICITY_FRAME_H + +#include +#include +#include "uword.h" +#include "sha256.h" + +/* A Bit Machine frame contains an '.edge' pointer to a slice of an array of UWORDs to hold the frame's cells. + * The '.offset' is used to represent the cursors position. + * For a read frame, the '.edge' points to one-past-the-end of the slice of the UWORDs array for the frame's cells, + * and the '.offset' value is equal to the frame's cursor position plus the amount of padding used in the frame. + * For a write frame, the '.edge' points to the beginning of the slice of the UWORDs array for the frame's cells, + * and the '.offset' value is equal to the total number of cells minus the frame's cursor position. + */ +typedef struct frameItem { + UWORD* edge; + size_t offset; +} frameItem; + +/* Initialize a new read frame. + * 'n' is the number of cells for the read frame. + * 'from' is a pointer to the beginning of the new slice for the array of UWORDS to hold the frame's cells. + * + * Precondition: UWORD from[ROUND_UWORD(n)]; + */ +static inline frameItem initReadFrame(size_t n, UWORD* from) { + const size_t len = ROUND_UWORD(n); +/* '(1U * len) * UWORD_BIT - n' equals the number of padding bits in a frame of size 'n'. + * Note that even if (len * UWORD_BIT) overflows, + * (1) We have ensured an unsigned computation by multiplying by 1U so the behaviour is well-defined. + * (2) after subtracting 'n' we are left with a value in the range 0 .. UWORD-BIT - 1. + */ + return (frameItem){ .edge = from + len, .offset = (1U * len) * UWORD_BIT - n }; +} + +/* Initialize a new write frame. + * 'n' is the number of cells for the write frame. + * 'from' is a pointer to the one-past-the-end of the new slice for the array of UWORDS to hold the frame's cells. + * + * Precondition: UWORD (from - ROUND_UWORD(n))[ROUND_UWORD(n)]; + */ +static inline frameItem initWriteFrame(size_t n, UWORD* from) { + return (frameItem){ .edge = from - ROUND_UWORD(n), .offset = n }; +} + +/* Given a read frame, return the value of the cell at the cursor. + * + * Precondition: '*frame' is a valid read frame for 1 more cell. + */ +static inline bool peekBit(const frameItem* frame) { + return 1 & (*(frame->edge - 1 - frame->offset / UWORD_BIT) >> (UWORD_BIT - (frame->offset % UWORD_BIT) - 1)); +} + +/* Given a read frame, return the value of the cell at the cursor and advance the cursor by one cell. + * + * Precondition: '*frame' is a valid read frame for 1 more cell. + */ +static inline bool readBit(frameItem* frame) { + bool result = peekBit(frame); + frame->offset++; + return result; +} + +/* Given a write frame, set its cursor's cell to 'bit' and advance the cursor by one cell. + * Cells in front of the cursor's final position may be overwritten. + * + * The function returns the same value as bit. This facilitates using 'writeBit' within an 'if' statement + * + * if (writeBit(frame, bit)) { ... } else { ... } + * + * so that one can both decide conditions based on a Boolean value while at the same time writing to the frame the choice made. + * + * Precondition: '*frame' is a valid write frame for 1 more cell. + */ +static inline bool writeBit(frameItem* frame, bool bit) { + assert(0 < frame->offset); + frame->offset--; + UWORD* dst_ptr = frame->edge + frame->offset / UWORD_BIT; + if (bit) { + *dst_ptr |= (UWORD)((UWORD)1 << (frame->offset % UWORD_BIT)); + } else { + *dst_ptr = LSBclear(*dst_ptr, frame->offset % UWORD_BIT + 1); + } + return bit; +} + +/* Given a read frame, advance the cursor by 'n' cells. + * + * Precondition: '*frame' is a valid read frame for 'n' more cells. + */ +static inline void forwardBits(frameItem* frame, size_t n) { + frame->offset += n; +} + +/* Given a write frame, advance the cursor by 'n' cells. + * + * Precondition: '*frame' is a valid write frame for 'n' more cells. + */ +static inline void skipBits(frameItem* frame, size_t n) { + assert(n <= frame->offset); + frame->offset -= n; +} + +/* Given a read frame, the 'readN' function returns the value of the 'N' cells after the cursor and + * advances the frame's cursor by 'N'. + * The cell values are returned with the first cell in the MSB of the result and the last cell in the LSB of the result. + * + * Precondition: '*frame' is a valid read frame for 'N' more cells. + */ +uint_fast8_t read8(frameItem* frame); +uint_fast16_t read16(frameItem* frame); +uint_fast32_t read32(frameItem* frame); +uint_fast64_t read64(frameItem* frame); + +/* Given a write frame, the 'writeN' function sets the value of the 'N' cells after the cursor and + * advances the frame's cursor by 'N'. + * The first cell is set to the value of the MSB of 'x' and the last cell is set to the LSB of 'x'. + * Cells in front of the cursor's final position may be overwritten. + * + * Precondition: '*frame' is a valid write frame for 'N' more cells. + */ +void write8(frameItem* frame, uint_fast8_t x); +void write16(frameItem* frame, uint_fast16_t x); +void write32(frameItem* frame, uint_fast32_t x); +void write64(frameItem* frame, uint_fast64_t x); + +static inline void read8s(unsigned char* x, size_t n, frameItem* frame) { + for(; n; --n) *(x++) = (unsigned char)read8(frame); +} + +static inline void write8s(frameItem* frame, const unsigned char* x, size_t n) { + for(; n; --n) write8(frame, *(x++)); +} + +static inline void read32s(uint32_t* x, size_t n, frameItem* frame) { + for(; n; --n) *(x++) = (uint32_t)read32(frame); +} + +static inline void write32s(frameItem* frame, const uint32_t* x, size_t n) { + for(; n; --n) write32(frame, *(x++)); +} + +/* Read bytes from a Simplicity buffer of type (TWO^8)^<2^(n+1) into 'buf'. + * Set 'len' to the number of bytes read from the buffer. + * Advance the 'src' frame to the end of the buffer type. + * + * The notation X^<2 is notation for the type (S X) + * The notation X^<(2*n) is notation for the type S (X^n) * X^output; + * '*src' is a valid read frame for 838 more cells; + */ +bool read_sha256_context(sha256_context* ctx, frameItem* src); + +/* Write data to a Simplicity CTX8 type (TWO^8)^<2^64 * TWO^64 * TWO^256 from a sha256_context value. + * Advance the 'dst' frame to the end of the CTX8 type. + * Returns false if the ctx had overflowed. + * + * The notation X^<2 is notation for the type (S X) + * The notation X^<(2*n) is notation for the type S (X^n) * X^output; + * ctx->counter < 2^61; + */ +bool write_sha256_context(frameItem* dst, const sha256_context* ctx); + +#endif diff --git a/hashBlock.c b/hashBlock.c new file mode 100644 index 00000000000..544ac837af1 --- /dev/null +++ b/hashBlock.c @@ -0,0 +1,187 @@ +#include "hashBlock.h" + +/* A length-prefixed encoding of the following Simplicity program: + * hashBlock + */ +const unsigned char hashBlock[] = { + 0xea, 0x70, 0x50, 0x62, 0x48, 0x2c, 0x14, 0x0a, 0xd1, 0x40, 0xb0, 0xc4, 0x54, 0x2a, 0x15, 0xc4, 0x58, 0x60, 0x28, 0x16, + 0x01, 0x6b, 0xd6, 0x20, 0x5a, 0x02, 0xd5, 0xb4, 0x4d, 0x02, 0xa1, 0x66, 0x40, 0xa1, 0x24, 0x16, 0x0a, 0x05, 0x20, 0xa0, + 0x58, 0xe2, 0x26, 0x02, 0xa1, 0x5c, 0x44, 0xc4, 0x54, 0x2d, 0x39, 0x08, 0x16, 0xcd, 0xa2, 0x6c, 0x13, 0x48, 0xb0, 0x0b, + 0x32, 0x0c, 0x34, 0x30, 0xc3, 0x0e, 0x38, 0x59, 0x92, 0x42, 0x05, 0x08, 0x30, 0xc3, 0xc1, 0x41, 0xc8, 0x30, 0xfa, 0x0c, + 0x3c, 0x14, 0x1c, 0x2c, 0x88, 0x30, 0xc3, 0xc1, 0x41, 0xc6, 0xdc, 0x7c, 0xcc, 0x3c, 0x14, 0x1c, 0x2c, 0x88, 0x30, 0xc3, + 0xc1, 0x41, 0xc6, 0xe1, 0x67, 0xcc, 0xc3, 0xc1, 0x41, 0xc2, 0xc8, 0x83, 0x0c, 0x3c, 0x14, 0x1c, 0x6e, 0x28, 0x3e, 0x66, + 0x1e, 0x0a, 0x0e, 0x16, 0x43, 0x71, 0x79, 0x87, 0x82, 0x83, 0x8d, 0xc6, 0x87, 0xe3, 0x53, 0x0f, 0x05, 0x07, 0x0b, 0x22, + 0x48, 0x38, 0xfc, 0x7c, 0x18, 0x38, 0xb9, 0x1c, 0x1c, 0x47, 0x07, 0x10, 0xb9, 0x0d, 0xad, 0x25, 0x1c, 0x4a, 0x70, 0x68, + 0x19, 0x8e, 0x0f, 0x01, 0x1c, 0x1b, 0xc0, 0xce, 0x0d, 0x0b, 0x78, 0x1c, 0x2c, 0x2e, 0x23, 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0xa1, 0x40, 0x0e, 0x85, 0x70, 0x3a, 0x17, 0x40, 0xe8, 0x66, 0x03, 0xa1, 0xbc, 0x0e, 0x87, 0x70, 0x3a, + 0x20, 0x00, 0xe8, 0x89, 0x03, 0xa2, 0x44, 0x0e, 0x89, 0xa0, 0x3a, 0x28, 0xc0, 0xe8, 0xad, 0x03, 0xa2, 0xd4, 0x0e, 0x8c, + 0x00, 0x3a, 0x32, 0xc0, 0xe8, 0xd9, 0x03, 0xa9, 0x83, 0x0b, 0xa9, 0x9a, 0x0b, 0xa9, 0x6c, 0xe9, 0x20, 0x01, 0xd4, 0x5e, + 0x1b, 0xa4, 0xa6, 0x7e, 0x92, 0xa0, 0xa0, 0x0e, 0xa3, 0x00, 0x58, 0x8d, 0xd2, 0xe7, 0x30, 0xf0, 0x50, 0x07, 0x51, 0x8c, + 0x6e, 0x96, 0x31, 0xfa, 0x58, 0xe2, 0x80, 0x3a, 0x8c, 0xa1, 0x62, 0x16, 0xb1, 0xba, 0x59, 0x67, 0xe9, 0x66, 0x0a, 0x00, + 0xea, 0x34, 0x0d, 0xd2, 0x61, 0x3f, 0x49, 0x88, 0x50, 0x07, 0x51, 0xa8, 0x2c, 0x46, 0xe9, 0x20, 0x1f, 0xa4, 0x82, 0x28, + 0x03, 0xa8, 0xd9, 0x17, 0x49, 0x83, 0xa4, 0xb2, 0x07, 0x51, 0xb6, 0x2a, 0x16, 0x80, 0xb8, 0x10, 0x1c, 0x4a, 0x00 +}; + +const size_t sizeof_hashBlock = sizeof(hashBlock); + +/* The commitment Merkle root of the above hashBlock Simplicity expression. */ +const uint32_t hashBlock_cmr[] = { + 0xd68b529au, 0x567b0ab3u, 0xf9768ce0u, 0xfeea1e90u, 0x9c34815au, 0x691a215au, 0x75a00e51u, 0x0c35213cu +}; + +/* The identity Merkle root of the above hashBlock Simplicity expression. */ +const uint32_t hashBlock_imr[] = { + 0xdfc927d3u, 0x9bf7147au, 0x8b0a7f43u, 0x79466870u, 0x824db102u, 0x090a0036u, 0x2923a377u, 0xa91af681u +}; + +/* The annotated Merkle root of the above hashBlock Simplicity expression. */ +const uint32_t hashBlock_amr[] = { + 0x23c7a58cu, 0x03a95c10u, 0xa933da89u, 0x5fe28dbbu, 0x3d12652bu, 0x3d3d1e7du, 0x5805683fu, 0xbca2c63bu +}; diff --git a/hashBlock.h b/hashBlock.h new file mode 100644 index 00000000000..056a0f89ba7 --- /dev/null +++ b/hashBlock.h @@ -0,0 +1,22 @@ +#ifndef SIMPLICITY_HASHBLOCK_H +#define SIMPLICITY_HASHBLOCK_H + +#include +#include + +/* A length-prefixed encoding of the following Simplicity program: + * hashBlock + */ +extern const unsigned char hashBlock[]; +extern const size_t sizeof_hashBlock; + +/* The commitment Merkle root of the above hashBlock Simplicity expression. */ +extern const uint32_t hashBlock_cmr[]; + +/* The identity Merkle root of the above hashBlock Simplicity expression. */ +extern const uint32_t hashBlock_imr[]; + +/* The annotated Merkle root of the above hashBlock Simplicity expression. */ +extern const uint32_t hashBlock_amr[]; + +#endif diff --git a/include/simplicity/elements/env.h b/include/simplicity/elements/env.h new file mode 100644 index 00000000000..3ff4152ba22 --- /dev/null +++ b/include/simplicity/elements/env.h @@ -0,0 +1,115 @@ +#ifndef SIMPLICITY_ELEMENTS_ENV_H +#define SIMPLICITY_ELEMENTS_ENV_H + +#include +#include + +/* This section builds the 'rawTransaction' structure which is the transaction data needed to build an Elements 'txEnv' environment + * for evaluating Simplicity expressions within. + * The 'rawTransaction' is copied into an opaque 'transaction' structure that can be reused within evaluating Simplicity on multiple + * inputs within the same transaction. + */ + +/* A type for an unparsed buffer + * + * Invariant: if 0 < len then unsigned char buf[len] + */ +typedef struct rawBuffer { + const unsigned char* buf; + uint32_t len; +} rawBuffer; + +/* A structure representing data for one output from an Elements transaction. + * + * Invariant: unsigned char asset[33] or asset == NULL; + * unsigned char value[value[0] == 1 ? 9 : 33] or value == NULL; + * unsigned char nonce[33] or nonce == NULL; + */ +typedef struct rawOutput { + const unsigned char* asset; + const unsigned char* value; + const unsigned char* nonce; + rawBuffer scriptPubKey; + rawBuffer surjectionProof; + rawBuffer rangeProof; +} rawOutput; + +/* A structure representing data for one input from an Elements transaction, including its taproot annex, + * plus the TXO data of the output being redeemed. + * + * Invariant: unsigned char prevTxid[32]; + * unsigned char pegin[32] or pegin == NULL; + * unsigned char issuance.blindingNonce[32] or (issuance.amount == NULL and issuance.inflationKeys == NULL); + * unsigned char issuance.assetEntropy[32] or (issuance.amount == NULL and issuance.inflationKeys == NULL); + * unsigned char issuance.amount[issuance.amount[0] == 1 ? 9 : 33] or issuance.amount == NULL; + * unsigned char issuance.inflationKeys[issuance.inflaitonKeys[0] == 1 ? 9 : 33] or issuance.inflationKeys == NULL; + * unsigned char txo.asset[33] or txo.asset == NULL; + * unsigned char txo.value[txo.value[0] == 1 ? 9 : 33] or txo.value == NULL; + */ +typedef struct rawInput { + const rawBuffer* annex; + const unsigned char* prevTxid; + const unsigned char* pegin; + struct { + const unsigned char* blindingNonce; + const unsigned char* assetEntropy; + const unsigned char* amount; + const unsigned char* inflationKeys; + rawBuffer amountRangePrf; + rawBuffer inflationKeysRangePrf; + } issuance; + struct { + const unsigned char* asset; + const unsigned char* value; + rawBuffer scriptPubKey; + } txo; + rawBuffer scriptSig; + uint32_t prevIx; + uint32_t sequence; +} rawInput; + +/* A structure representing data for an Elements transaction, including the TXO data of each output being redeemed. + * + * Invariant: rawInput input[numInputs]; + * rawOutput output[numOutputs]; + */ +typedef struct rawTransaction { + const rawInput* input; + const rawOutput* output; + uint32_t numInputs; + uint32_t numOutputs; + uint32_t version; + uint32_t lockTime; +} rawTransaction; + +/* A forward declaration for the structure containing a copy (and digest) of the rawTransaction data */ +typedef struct transaction transaction; + +/* Allocate and initialize a 'transaction' from a 'rawOuput', copying or hashing the data as needed. + * Returns NULL if malloc fails (or if malloc cannot be called because we require an allocation larger than SIZE_MAX). + * + * Precondition: NULL != rawTx + */ +extern transaction* elements_simplicity_mallocTransaction(const rawTransaction* rawTx); + +/* A structure representing taproot spending data for an Elements transaction. + * + * Invariant: branchLen <= 128; + * unsigned char controlBlock[33+branchLen*32]; + */ +typedef struct rawTapEnv { + const unsigned char* controlBlock; + const unsigned char* scriptCMR; + unsigned char branchLen; +} rawTapEnv; + +/* A forward declaration for the structure containing a copy (and digest) of the rawTapEnv data */ +typedef struct tapEnv tapEnv; + +/* Allocate and initialize a 'tapEnv' from a 'rawTapEnv', copying or hashing the data as needed. + * Returns NULL if malloc fails (or if malloc cannot be called because we require an allocation larger than SIZE_MAX). + * + * Precondition: *rawEnv is well-formed (i.e. rawEnv->branchLen <= 128.) + */ +extern tapEnv* elements_simplicity_mallocTapEnv(const rawTapEnv* rawEnv); +#endif diff --git a/include/simplicity/elements/exec.h b/include/simplicity/elements/exec.h new file mode 100644 index 00000000000..92283b4cb73 --- /dev/null +++ b/include/simplicity/elements/exec.h @@ -0,0 +1,32 @@ +#ifndef SIMPLICITY_ELEMENTS_EXEC_H +#define SIMPLICITY_ELEMENTS_EXEC_H + +#include +#include +#include +#include "env.h" + +/* Deserialize a Simplicity 'program' and execute it in the environment of the 'ix'th input of 'tx' with `taproot`. + * If program isn't a proper encoding of a Simplicity program, including its 'program_len', '*success' is set to false. + * If 'amr != NULL' and the annotated Merkle root of the decoded expression doesn't match 'amr' then '*success' is set to false. + * Otherwise evaluation proceeds and '*success' is set to the result of evaluation. + * If 'imr != NULL' and '*success' is set to true, then the identity Merkle root of the decoded expression is written to 'imr'. + * Otherwise if 'imr != NULL' then 'imr' may or may not be written to. + * + * If at any time there is a transient error, such as malloc failing then 'false' is returned, and 'success' may be modified. + * Otherwise, 'true' is returned. + * + * Precondition: NULL != success; + * NULL != imr implies unsigned char imr[32] + * NULL != tx; + * NULL != taproot; + * unsigned char genesisBlockHash[32] + * NULL != amr implies unsigned char amr[32] + * unsigned char program[program_len] + */ +extern bool elements_simplicity_execSimplicity( bool* success, unsigned char* imr + , const transaction* tx, uint_fast32_t ix, const tapEnv* taproot + , const unsigned char* genesisBlockHash + , const unsigned char* amr + , const unsigned char* program, size_t program_len); +#endif diff --git a/jets-secp256k1.c b/jets-secp256k1.c new file mode 100644 index 00000000000..45f4a7b59f3 --- /dev/null +++ b/jets-secp256k1.c @@ -0,0 +1,625 @@ +#include "jets.h" + +#include "prefix.h" +#include "sha256.h" +#include "secp256k1/secp256k1_impl.h" +#include "tag.h" + +/* Read a secp256k1 field element value from the 'src' frame, advancing the cursor 256 cells. + * + * Precondition: '*src' is a valid read frame for 256 more cells; + * NULL != r; + */ +static inline void read_fe(secp256k1_fe* r, frameItem* src) { + unsigned char buf[32]; + + read8s(buf, 32, src); + if (!secp256k1_fe_set_b32(r, buf)) secp256k1_fe_normalize_var(r); +} + +/* Write a secp256k1 field element value to the 'dst' frame, advancing the cursor 256 cells. + * The field value 'r' is normalized as a side-effect. + * + * Precondition: '*dst' is a valid write frame for 256 more cells; + * NULL != r; + */ +static inline void write_fe(frameItem* dst, secp256k1_fe* r) { + unsigned char buf[32]; + + secp256k1_fe_normalize_var(r); + secp256k1_fe_get_b32(buf, r); + write8s(dst, buf, 32); +} + +/* Skip 256 cells, the size of a secp256k1 field element value, in the 'dst' frame. + * + * Precondition: '*dst' is a valid write frame for 256 more cells; + */ +static inline void skip_fe(frameItem* dst) { + skipBits(dst, 256); +} + +/* Read a (non-infinity) secp256k1 affine group element value from the 'src' frame, advancing the cursor 512 cells. + * + * Precondition: '*src' is a valid read frame for 512 more cells; + * NULL != r; + */ +static inline void read_ge(secp256k1_ge* r, frameItem* src) { + read_fe(&r->x, src); + read_fe(&r->y, src); + r->infinity = 0; +} + +/* Write a secp256k1 affine group element value to the 'dst' frame, advancing the cursor 512 cells. + * + * Precondition: '*dst' is a valid write frame for 512 more cells; + * NULL != r; + */ +static inline void write_ge(frameItem* dst, secp256k1_ge* r) { + write_fe(dst, &r->x); + write_fe(dst, &r->y); +} + +/* Skip 512 cells, the size of a secp256k1 affine group element value, in the 'dst' frame. + * + * Precondition: '*dst' is a valid write frame for 512 more cells; + */ +static inline void skip_ge(frameItem* dst) { + skip_fe(dst); + skip_fe(dst); +} + +/* Read a secp256k1 jacobian group element value from the 'src' frame, advancing the cursor 768 cells. + * + * Precondition: '*src' is a valid read frame for 768 more cells; + * NULL != r; + */ +static inline void read_gej(secp256k1_gej* r, frameItem* src) { + read_fe(&r->x, src); + read_fe(&r->y, src); + read_fe(&r->z, src); + r->infinity = secp256k1_fe_is_zero(&r->z); +} + +/* Write a secp256k1 jacobian group element value to the 'dst' frame, advancing the cursor 768 cells. + * If 'r->infinity' then an fe_zero value to all coordinates in the 'dst' frame. + * The components of 'r' may be normalized as a side-effect. + * + * Precondition: '*dst' is a valid write frame for 768 more cells; + * NULL != r; + */ +static inline void write_gej(frameItem* dst, secp256k1_gej* r) { + write_fe(dst, &r->x); + write_fe(dst, &r->y); + write_fe(dst, &r->z); +} + +/* Read a secp256k1 scalar element value from the 'src' frame, advancing the cursor 256 cells. + * + * Precondition: '*src' is a valid read frame for 256 more cells; + * NULL != r; + */ +static inline void read_scalar(secp256k1_scalar* r, frameItem* src) { + unsigned char buf[32]; + + read8s(buf, 32, src); + secp256k1_scalar_set_b32(r, buf, NULL); +} + +/* Write a secp256k1 scalar element value to the 'dst' frame, advancing the cursor 256 cells. + * + * Precondition: '*dst' is a valid write frame for 256 more cells; + * NULL != r; + */ +static inline void write_scalar(frameItem* dst, const secp256k1_scalar* r) { + unsigned char buf[32]; + + secp256k1_scalar_get_b32(buf, r); + write8s(dst, buf, 32); +} + +bool fe_normalize(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe a; + read_fe(&a, &src); + write_fe(dst, &a); + return true; +} + +bool fe_negate(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe a; + read_fe(&a, &src); + secp256k1_fe_negate(&a, &a, 1); + write_fe(dst, &a); + return true; +} + +bool fe_add(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe a, b; + read_fe(&a, &src); + read_fe(&b, &src); + secp256k1_fe_add(&a, &b); + write_fe(dst, &a); + return true; +} + +bool fe_square(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe a; + read_fe(&a, &src); + secp256k1_fe_sqr(&a, &a); + write_fe(dst, &a); + return true; +} + +bool fe_multiply(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe a, b; + read_fe(&a, &src); + read_fe(&b, &src); + secp256k1_fe_mul(&a, &a, &b); + write_fe(dst, &a); + return true; +} + +bool fe_multiply_beta(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + static const secp256k1_fe beta = SECP256K1_FE_CONST( + 0x7ae96a2bul, 0x657c0710ul, 0x6e64479eul, 0xac3434e9ul, + 0x9cf04975ul, 0x12f58995ul, 0xc1396c28ul, 0x719501eeul + ); + secp256k1_fe a; + read_fe(&a, &src); + secp256k1_fe_mul(&a, &a, &beta); + write_fe(dst, &a); + return true; +} + +bool fe_invert(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe a; + read_fe(&a, &src); + secp256k1_fe_inv_var(&a, &a); + write_fe(dst, &a); + return true; +} + +bool fe_square_root(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe r, a; + read_fe(&a, &src); + int result = secp256k1_fe_sqrt_var(&r, &a); + if (writeBit(dst, result)) { + write_fe(dst, &r); + } else { + skip_fe(dst); + } + return true; +} + +bool fe_is_zero(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe a; + read_fe(&a, &src); + writeBit(dst, secp256k1_fe_is_zero(&a)); + return true; +} + +bool fe_is_odd(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe a; + read_fe(&a, &src); + writeBit(dst, secp256k1_fe_is_odd(&a)); + return true; +} + +bool scalar_normalize(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_scalar a; + read_scalar(&a, &src); + write_scalar(dst, &a); + return true; +} + +bool scalar_negate(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_scalar a; + read_scalar(&a, &src); + secp256k1_scalar_negate(&a, &a); + write_scalar(dst, &a); + return true; +} + +bool scalar_add(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_scalar a, b; + read_scalar(&a, &src); + read_scalar(&b, &src); + secp256k1_scalar_add(&a, &a, &b); + write_scalar(dst, &a); + return true; +} + +bool scalar_square(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_scalar a; + read_scalar(&a, &src); + secp256k1_scalar_mul(&a, &a, &a); + write_scalar(dst, &a); + return true; +} + +bool scalar_multiply(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_scalar a, b; + read_scalar(&a, &src); + read_scalar(&b, &src); + secp256k1_scalar_mul(&a, &a, &b); + write_scalar(dst, &a); + return true; +} + +bool scalar_multiply_lambda(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_scalar a; + read_scalar(&a, &src); + secp256k1_scalar_mul(&a, &a, &secp256k1_const_lambda); + write_scalar(dst, &a); + return true; +} + +bool scalar_invert(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_scalar a; + read_scalar(&a, &src); + secp256k1_scalar_inverse_var(&a, &a); + write_scalar(dst, &a); + return true; +} + +bool scalar_is_zero(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_scalar a; + read_scalar(&a, &src); + writeBit(dst, secp256k1_scalar_is_zero(&a)); + return true; +} + +bool gej_infinity(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + (void) env; // env is unused; + + secp256k1_gej a; + secp256k1_gej_set_infinity(&a); + write_gej(dst, &a); + return true; +} + +bool gej_rescale(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej a; + secp256k1_fe c; + read_gej(&a, &src); + read_fe(&c, &src); + secp256k1_gej_rescale(&a, &c); + write_gej(dst, &a); + return true; +} + +bool gej_normalize(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej a; + secp256k1_ge r; + read_gej(&a, &src); + if (writeBit(dst, !secp256k1_gej_is_infinity(&a))) { + secp256k1_ge_set_gej_var(&r, &a); + write_ge(dst, &r); + } else { + skip_ge(dst); + } + return true; +} + +bool gej_negate(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej a; + read_gej(&a, &src); + secp256k1_gej_neg(&a, &a); + write_gej(dst, &a); + return true; +} + +bool ge_negate(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_ge a; + read_ge(&a, &src); + secp256k1_ge_neg(&a, &a); + write_ge(dst, &a); + return true; +} + +bool gej_double(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej a; + read_gej(&a, &src); + secp256k1_gej_double_var(&a, &a, NULL); + write_gej(dst, &a); + return true; +} + +bool gej_add(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej a, b; + read_gej(&a, &src); + read_gej(&b, &src); + secp256k1_gej_add_var(&a, &a, &b, NULL); + write_gej(dst, &a); + return true; +} + +bool gej_ge_add_ex(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej a; + secp256k1_ge b; + secp256k1_fe rzr; + secp256k1_fe_clear(&rzr); + read_gej(&a, &src); + read_ge(&b, &src); + secp256k1_gej_add_ge_var(&a, &a, &b, &rzr); + write_fe(dst, &rzr); + write_gej(dst, &a); + return true; +} + +bool gej_ge_add(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej a; + secp256k1_ge b; + read_gej(&a, &src); + read_ge(&b, &src); + secp256k1_gej_add_ge_var(&a, &a, &b, NULL); + write_gej(dst, &a); + return true; +} + +bool gej_is_infinity(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej a; + read_gej(&a, &src); + writeBit(dst, secp256k1_gej_is_infinity(&a)); + return true; +} + +bool gej_x_equiv(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe x; + secp256k1_gej a; + read_fe(&x, &src); + read_gej(&a, &src); + writeBit(dst, (!secp256k1_gej_is_infinity(&a)) && secp256k1_gej_eq_x_var(&x, &a)); + return true; +} + +bool gej_y_is_odd(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej a; + secp256k1_ge b; + read_gej(&a, &src); + if (secp256k1_gej_is_infinity(&a)) { + writeBit(dst, false); + } else { + secp256k1_ge_set_gej_var(&b, &a); + secp256k1_fe_normalize_var(&b.y); + writeBit(dst, secp256k1_fe_is_odd(&b.y)); + } + return true; +} + +bool gej_is_on_curve(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej a; + secp256k1_fe x3, y2, z6; + read_gej(&a, &src); + secp256k1_fe_sqr(&y2, &a.y); + secp256k1_fe_sqr(&x3, &a.x); secp256k1_fe_mul(&x3, &x3, &a.x); + secp256k1_fe_sqr(&z6, &a.z); secp256k1_fe_mul(&z6, &z6, &a.z); secp256k1_fe_sqr(&z6, &z6); + secp256k1_fe_mul_int(&z6, 7); + secp256k1_fe_add(&x3, &z6); + writeBit(dst, secp256k1_fe_equal_var(&y2, &x3)); + return true; +} + +bool ge_is_on_curve(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_ge a; + read_ge(&a, &src); + writeBit(dst, secp256k1_ge_is_valid_var(&a)); + return true; +} + +bool scale(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej r, a; + secp256k1_scalar na; + static const secp256k1_scalar ng = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); + + read_scalar(&na, &src); + read_gej(&a, &src); + secp256k1_ecmult(&r, &a, &na, &ng); + write_gej(dst, &r); + return true; +} + +bool generate(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej r; + static const secp256k1_gej a = SECP256K1_GEJ_CONST_INFINITY; + static const secp256k1_scalar na = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); + secp256k1_scalar ng; + + read_scalar(&ng, &src); + secp256k1_ecmult(&r, &a, &na, &ng); + write_gej(dst, &r); + return true; +} + +bool linear_combination_1(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_gej r, a; + secp256k1_scalar na, ng; + + read_scalar(&na, &src); + read_gej(&a, &src); + read_scalar(&ng, &src); + secp256k1_ecmult(&r, &a, &na, &ng); + write_gej(dst, &r); + return true; +} + +bool linear_verify_1(frameItem* dst, frameItem src, const txEnv* env) { + (void) dst; // dst is unused; + (void) env; // env is unused; + + secp256k1_ge a, b; + secp256k1_scalar na, ng; + + read_scalar(&na, &src); + read_ge(&a, &src); + read_scalar(&ng, &src); + read_ge(&b, &src); + if (secp256k1_ge_is_valid_var(&a) && + secp256k1_ge_is_valid_var(&b)) { + secp256k1_gej r, a0; + secp256k1_gej_set_ge(&a0, &a); + secp256k1_ge_neg(&b, &b); + secp256k1_ecmult(&r, &a0, &na, &ng); + secp256k1_gej_add_ge_var(&r, &r, &b, NULL); + return secp256k1_gej_is_infinity(&r); + } else { + return false; + } +} + +bool decompress(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + + secp256k1_fe x; + secp256k1_ge r; + bool y = readBit(&src); + read_fe(&x, &src); + if (writeBit(dst, secp256k1_ge_set_xo_var(&r, &x, y))) { + write_ge(dst, &r); + } else { + skip_ge(dst); + } + + return true; +} + +bool point_verify_1(frameItem* dst, frameItem src, const txEnv* env) { + (void) dst; // dst is unused; + (void) env; // env is unused; + + bool ay, by; + secp256k1_fe ax, bx; + secp256k1_ge a, b; + secp256k1_scalar na, ng; + + read_scalar(&na, &src); + ay = readBit(&src); + read_fe(&ax, &src); + read_scalar(&ng, &src); + by = readBit(&src); + read_fe(&bx, &src); + if (secp256k1_ge_set_xo_var(&a, &ax, ay) && + secp256k1_ge_set_xo_var(&b, &bx, by)) { + secp256k1_gej r, a0; + secp256k1_gej_set_ge(&a0, &a); + secp256k1_ge_neg(&b, &b); + secp256k1_ecmult(&r, &a0, &na, &ng); + secp256k1_gej_add_ge_var(&r, &r, &b, NULL); + return secp256k1_gej_is_infinity(&r); + } else { + return false; + } +} + +bool bip_0340_verify(frameItem* dst, frameItem src, const txEnv* env) { + (void) dst; // dst is unused; + (void) env; // env is unused; + + unsigned char buf[32]; + secp256k1_xonly_pubkey pubkey; + unsigned char msg[32]; + unsigned char sig[64]; + + read8s(buf, 32, &src); + if (!secp256k1_xonly_pubkey_parse(&pubkey, buf)) return false; + + read8s(msg, 32, &src); + read8s(sig, 64, &src); + + return secp256k1_schnorrsig_verify(sig, msg, sizeof(msg), &pubkey); +} + +/* check_sig_verify : TWO^256*TWO^512*TWO^512 |- ONE */ +bool check_sig_verify(frameItem* dst, frameItem src, const txEnv* env) { + (void) dst; // dst is unused; + (void) env; // env is unused; + + unsigned char buf[32]; + secp256k1_xonly_pubkey pubkey; + unsigned char msg[64]; + unsigned char sig[64]; + + read8s(buf, 32, &src); + if (!secp256k1_xonly_pubkey_parse(&pubkey, buf)) return false; + + { + sha256_midstate output; + sha256_context ctx = MK_TAG(output.s, SIMPLICITY_PREFIX "\x1F" "Signature"); + read8s(msg, 64, &src); + sha256_uchars(&ctx, msg, 64); + sha256_finalize(&ctx); + sha256_fromMidstate(buf, output.s); + } + + read8s(sig, 64, &src); + return secp256k1_schnorrsig_verify(sig, buf, sizeof(buf), &pubkey); +} diff --git a/jets.c b/jets.c new file mode 100644 index 00000000000..4f02315058e --- /dev/null +++ b/jets.c @@ -0,0 +1,327 @@ +#include "jets.h" + +/* verify : TWO |- ONE */ +bool verify(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + (void) dst; // dst is unused; + return readBit(&src); +} + +/* low_32 : ONE |- TWO^32 */ +bool low_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + (void) src; // src is unused; + write32(dst, 0); + return true; +} + +/* one_32 : ONE |- TWO^32 */ +bool one_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + (void) src; // src is unused; + write32(dst, 1); + return true; +} + +/* eq_32 : TWO^32 * TWO^32 |- TWO */ +bool eq_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + uint_fast32_t x = read32(&src); + uint_fast32_t y = read32(&src); + writeBit(dst, x == y); + return true; +} + +/* eq_256 : TWO^256 * TWO^256 |- TWO */ +bool eq_256(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + uint32_t arr[16]; + read32s(arr, 16, &src); + for (int i = 0; i < 8; ++i) { + if (arr[i] != arr[i+8]) { + writeBit(dst, false); + return true; + } + } + writeBit(dst, true); + return true; +} + +bool add_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + uint_fast32_t x = read32(&src); + uint_fast32_t y = read32(&src); + writeBit(dst, 0xFFFFFFFF - y < x); + /* + * Multiplying a uint32_t by 1U promotes a value's type to the wider of unsigned int and uint32_t, + * avoiding any possible issues with signed integer promotions causing havoc with unsigned modular arithmetic + * if int happens to be 33 bits wide. + * + */ + write32(dst, 1U * x + y); + return true; +} + +bool full_add_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + bool z = readBit(&src); + uint_fast32_t x = read32(&src); + uint_fast32_t y = read32(&src); + writeBit(dst, 0xFFFFFFFF - y < x || 0xFFFFFFFF - z < x + y); + /* + * Multiplying a uint32_t by 1U promotes a value's type to the wider of unsigned int and uint32_t, + * avoiding any possible issues with signed integer promotions causing havoc with unsigned modular arithmetic + * if int happens to be 33 bits wide. + * + */ + write32(dst, 1U * x + y + z); + return true; +} + +bool subtract_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + uint_fast32_t x = read32(&src); + uint_fast32_t y = read32(&src); + writeBit(dst, x < y); + write32(dst, x - y); + return true; +} + +bool full_subtract_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + bool z = readBit(&src); + uint_fast32_t x = read32(&src); + uint_fast32_t y = read32(&src); + writeBit(dst, x < y || x - y < z); + write32(dst, x - y - z); + return true; +} + +bool multiply_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + uint_fast64_t x = read32(&src); + uint_fast64_t y = read32(&src); + write64(dst, x * y); + return true; +} + +bool full_multiply_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + uint_fast64_t x = read32(&src); + uint_fast64_t y = read32(&src); + uint_fast64_t z = read32(&src); + uint_fast64_t w = read32(&src); + write64(dst, x * y + z + w); + return true; +} + +/* le_32 : TWO^32 * TWO^32 |- TWO */ +bool le_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + uint_fast32_t x = read32(&src); + uint_fast32_t y = read32(&src); + writeBit(dst, x <= y); + return true; +} + +/* sha_256_iv : ONE |- TWO^256 */ +bool sha_256_iv(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + (void) src; // env is unused; + + uint32_t iv[8]; + sha256_iv(iv); + + write32s(dst, iv, 8); + return true; +} + +/* sha_256_block : TWO^256 * TWO^512 |- TWO^256 */ +bool sha_256_block(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + uint32_t h[8]; + uint32_t block[16]; + read32s(h, 8, &src); + read32s(block, 16, &src); + sha256_compression(h, block); + write32s(dst, h, 8); + return true; +} + +/* sha_256_ctx_8_init : ONE |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_init(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + (void) src; // env is unused; + + uint32_t iv[8]; + sha256_context ctx = sha256_init(iv); + + return write_sha256_context(dst, &ctx); +} + +/* sha_256_ctx_8_add_n : CTX8 * (TWO^8)^n |- CTX8 + * where + * n is a power of 2 less than or equal to 512 + * and + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +static bool sha_256_ctx_8_add_n(frameItem* dst, frameItem *src, size_t n) { + assert(0 < n && n <= 512 && (n & (n - 1)) == 0); + sha256_midstate midstate; + unsigned char buf[512]; + sha256_context ctx = {.output = midstate.s}; + + if (!read_sha256_context(&ctx, src)) return false; + read8s(buf, n, src); + sha256_uchars(&ctx, buf, n); + return write_sha256_context(dst, &ctx); +} + +/* sha_256_ctx_8_add_1 : CTX8 * TWO^8 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_1(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + return sha_256_ctx_8_add_n(dst, &src, 1); +} + +/* sha_256_ctx_8_add_2 : CTX8 * (TWO^8)^2 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_2(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + return sha_256_ctx_8_add_n(dst, &src, 2); +} + +/* sha_256_ctx_8_add_4 : CTX8 * (TWO^8)^4 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_4(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + return sha_256_ctx_8_add_n(dst, &src, 4); +} + +/* sha_256_ctx_8_add_8 : CTX8 * (TWO^8)^8 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_8(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + return sha_256_ctx_8_add_n(dst, &src, 8); +} + +/* sha_256_ctx_8_add_16 : CTX8 * (TWO^8)^16 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_16(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + return sha_256_ctx_8_add_n(dst, &src, 16); +} + +/* sha_256_ctx_8_add_32 : CTX8 * (TWO^8)^32 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_32(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + return sha_256_ctx_8_add_n(dst, &src, 32); +} + +/* sha_256_ctx_8_add_64 : CTX8 * (TWO^8)^64 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_64(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + return sha_256_ctx_8_add_n(dst, &src, 64); +} + +/* sha_256_ctx_8_add_128 : CTX8 * (TWO^8)^128 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_128(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + return sha_256_ctx_8_add_n(dst, &src, 128); +} + +/* sha_256_ctx_8_add_256 : CTX8 * (TWO^8)^256 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_256(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + return sha_256_ctx_8_add_n(dst, &src, 256); +} + +/* sha_256_ctx_8_add_512 : CTX8 * (TWO^8)^512 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_512(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + return sha_256_ctx_8_add_n(dst, &src, 512); +} + +/* sha_256_ctx_8_add_buffer_511 : CTX8 * (TWO^8)^<512 |- CTX8 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_add_buffer_511(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + sha256_midstate midstate; + unsigned char buf[511]; + size_t buf_len; + sha256_context ctx = {.output = midstate.s}; + + if (!read_sha256_context(&ctx, &src)) return false; + + read_buffer8(buf, &buf_len, &src, 8); + sha256_uchars(&ctx, buf, buf_len); + return write_sha256_context(dst, &ctx); +} + +/* sha_256_ctx_8_finalize : CTX8 |- TWO^256 + * where + * CTX8 = (TWO^8)^<64 * TWO^64 * TWO^256 + */ +bool sha_256_ctx_8_finalize(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + sha256_midstate midstate; + sha256_context ctx = {.output = midstate.s}; + + if (!read_sha256_context(&ctx, &src)) return false; + + sha256_finalize(&ctx); + write32s(dst, midstate.s, 8); + return true; +} + +/* parse_sequence : TWO^32 |- TWO^32 + TWO^32 */ +bool parse_lock(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + uint_fast32_t nLockTime = read32(&src); + writeBit(dst, 500000000U <= nLockTime); + write32(dst, nLockTime); + return true; +} + +/* parse_sequence : TWO^32 |- S (TWO^16 + TWO^16) */ +bool parse_sequence(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused; + uint_fast32_t nSequence = read32(&src); + if (writeBit(dst, nSequence < ((uint_fast32_t)1 << 31))) { + writeBit(dst, nSequence & ((uint_fast32_t)1 << 22)); + write16(dst, nSequence & 0xffff); + } else { + skipBits(dst, 17); + } + return true; +} diff --git a/jets.h b/jets.h new file mode 100644 index 00000000000..799e3ced466 --- /dev/null +++ b/jets.h @@ -0,0 +1,98 @@ +/* This module defines jets that simulate various Simplicity expressions. + * Their specifications are given by the specific Simplicity expressions they are simulating. + */ +#ifndef SIMPLICITY_JETS_H +#define SIMPLICITY_JETS_H + +#include "frame.h" + +/* Forward declaration of the structure holding the environment in which a Simplicity expression is evaluated within. */ +typedef struct txEnv txEnv; + +/* A jet simulates the execution of some Simplicity expression (without witnesses or delegation) of A |- B. + * It reads data from a read frame 'src', and writes its output to a write frame 'dst'. + * If successful then 'true' is returned. + * If the expression being simulated would fail an 'ASSERTL' or 'ASSERTR' combinator, then 'false' is returned. + * Cells in front of 'dst's cursor's final position may be overwritten. + * + * Precondition: 'src' is a valid read frame for 'bitSize(A)' more cells; + * '*dst' is a valid write frame for 'bitSize(B)' more cells; + * if the jet simulates a Simplicity expression with primitives then 'NULL != env'; + */ +typedef bool (*jet_ptr)(frameItem* dst, frameItem src, const txEnv* env); + +bool verify(frameItem* dst, frameItem src, const txEnv* env); +bool low_32(frameItem* dst, frameItem src, const txEnv* env); +bool one_32(frameItem* dst, frameItem src, const txEnv* env); +bool eq_32(frameItem* dst, frameItem src, const txEnv* env); +bool eq_256(frameItem* dst, frameItem src, const txEnv* env); +bool add_32(frameItem* dst, frameItem src, const txEnv* env); +bool full_add_32(frameItem* dst, frameItem src, const txEnv* env); +bool subtract_32(frameItem* dst, frameItem src, const txEnv* env); +bool full_subtract_32(frameItem* dst, frameItem src, const txEnv* env); +bool multiply_32(frameItem* dst, frameItem src, const txEnv* env); +bool full_multiply_32(frameItem* dst, frameItem src, const txEnv* env); +bool le_32(frameItem* dst, frameItem src, const txEnv* env); + +bool sha_256_iv(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_block(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_init(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_1(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_2(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_4(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_8(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_16(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_32(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_64(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_128(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_256(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_512(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_add_buffer_511(frameItem* dst, frameItem src, const txEnv* env); +bool sha_256_ctx_8_finalize(frameItem* dst, frameItem src, const txEnv* env); + +bool fe_normalize(frameItem* dst, frameItem src, const txEnv* env); +bool fe_negate(frameItem* dst, frameItem src, const txEnv* env); +bool fe_add(frameItem* dst, frameItem src, const txEnv* env); +bool fe_square(frameItem* dst, frameItem src, const txEnv* env); +bool fe_multiply(frameItem* dst, frameItem src, const txEnv* env); +bool fe_multiply_beta(frameItem* dst, frameItem src, const txEnv* env); +bool fe_invert(frameItem* dst, frameItem src, const txEnv* env); +bool fe_square_root(frameItem* dst, frameItem src, const txEnv* env); +bool fe_is_zero(frameItem* dst, frameItem src, const txEnv* env); +bool fe_is_odd(frameItem* dst, frameItem src, const txEnv* env); +bool scalar_normalize(frameItem* dst, frameItem src, const txEnv* env); +bool scalar_negate(frameItem* dst, frameItem src, const txEnv* env); +bool scalar_add(frameItem* dst, frameItem src, const txEnv* env); +bool scalar_square(frameItem* dst, frameItem src, const txEnv* env); +bool scalar_multiply(frameItem* dst, frameItem src, const txEnv* env); +bool scalar_multiply_lambda(frameItem* dst, frameItem src, const txEnv* env); +bool scalar_invert(frameItem* dst, frameItem src, const txEnv* env); +bool scalar_is_zero(frameItem* dst, frameItem src, const txEnv* env); +bool gej_infinity(frameItem* dst, frameItem src, const txEnv* env); +bool gej_rescale(frameItem* dst, frameItem src, const txEnv* env); +bool gej_normalize(frameItem* dst, frameItem src, const txEnv* env); +bool gej_negate(frameItem* dst, frameItem src, const txEnv* env); +bool ge_negate(frameItem* dst, frameItem src, const txEnv* env); +bool gej_double(frameItem* dst, frameItem src, const txEnv* env); +bool gej_add(frameItem* dst, frameItem src, const txEnv* env); +bool gej_ge_add_ex(frameItem* dst, frameItem src, const txEnv* env); +bool gej_ge_add(frameItem* dst, frameItem src, const txEnv* env); +bool gej_is_infinity(frameItem* dst, frameItem src, const txEnv* env); +bool gej_x_equiv(frameItem* dst, frameItem src, const txEnv* env); +bool gej_y_is_odd(frameItem* dst, frameItem src, const txEnv* env); +bool gej_is_on_curve(frameItem* dst, frameItem src, const txEnv* env); +bool ge_is_on_curve(frameItem* dst, frameItem src, const txEnv* env); +bool scale(frameItem* dst, frameItem src, const txEnv* env); +bool generate(frameItem* dst, frameItem src, const txEnv* env); +bool linear_combination_1(frameItem* dst, frameItem src, const txEnv* env); +bool linear_verify_1(frameItem* dst, frameItem src, const txEnv* env); +bool decompress(frameItem* dst, frameItem src, const txEnv* env); +bool point_verify_1(frameItem* dst, frameItem src, const txEnv* env); + +bool check_sig_verify(frameItem* dst, frameItem src, const txEnv* env); +bool bip_0340_verify(frameItem* dst, frameItem src, const txEnv* env); + +bool parse_lock(frameItem* dst, frameItem src, const txEnv* env); +bool parse_sequence(frameItem* dst, frameItem src, const txEnv* env); + +#endif diff --git a/precomputed.h b/precomputed.h new file mode 100644 index 00000000000..1a0e5491694 --- /dev/null +++ b/precomputed.h @@ -0,0 +1,54 @@ +/* This file has been automatically generated by GenPecomputed.hs */ +#ifndef SIMPLICITY_PRECOMPUTED_H +#define SIMPLICITY_PRECOMPUTED_H + +#include "sha256.h" + +/* This array contains the cmr of all canonical expressions of type X |- 2 that output distinct values. */ +static const sha256_midstate bit_cmr[] = + { {{0xbd0cce93u, 0xe713a2aeu, 0x961bf91cu, 0x7d113edbu, 0x0671c786u, 0x9c722513u, 0x64682ac8u, 0x977eade7u}} + , {{0x79a70c6au, 0xe11897acu, 0xc1428c38u, 0x568a4522u, 0x2e7c3ea6u, 0x4c66ab4au, 0x104324eeu, 0x391bff9du}} }; + +/* word_type_root[0] contains the type root of the ONE type. + * word_type_root[1] contains the type root of the TWO type. + * word_type_root[2] contains the type root of the TWO^2 type. + * word_type_root[3] contains the type root of the TWO^4 type. + * ... + * word_type_root[32] contains the type root of the TWO^(2^31) type. + */ +static const sha256_midstate word_type_root[] = + { {{0x12b4c4a9u, 0xa4b0edf6u, 0x5a44f30eu, 0xa762578fu, 0xdd59f105u, 0xf0e4d8f3u, 0x88cb9b6bu, 0xd2c13adfu}} + , {{0x07182be8u, 0x37cfdd22u, 0xce79442eu, 0x00b6af5au, 0xd9d3a3d8u, 0x7df28194u, 0x43be3fc5u, 0xfe53b988u}} + , {{0x56e61352u, 0x92caeddeu, 0xf10a6830u, 0x408e14d8u, 0x86474d75u, 0xd3a566f0u, 0x5568ae8bu, 0x98584f29u}} + , {{0xd5748fd3u, 0xc061e3f1u, 0x33f5e9a3u, 0xa2e4cbcbu, 0x7c58cf62u, 0x15ed2d9fu, 0x5e81a53du, 0xd40ad309u}} + , {{0xd72f4729u, 0x9992c427u, 0x0aa60fdcu, 0x4c4703d1u, 0x8055f578u, 0xd03e7a24u, 0x48d96406u, 0xe2bb8d6fu}} + , {{0xfd2c7e26u, 0xebf131b4u, 0x160a5d95u, 0xd4070b7du, 0xeb67fccbu, 0xdf1f96e1u, 0x7c87f121u, 0xc762d16fu}} + , {{0xdc18653au, 0xfff1ba26u, 0xbf0efdc3u, 0x26c87138u, 0xe1689941u, 0xc3e90f94u, 0xdccdf1c2u, 0xa4c38129u}} + , {{0xdff38907u, 0x1e1aade0u, 0xf4845c2fu, 0x3223f6c4u, 0x9d15a162u, 0x650980c9u, 0x7f3c1148u, 0x8e3b62b6u}} + , {{0x355c2115u, 0xb143eb6au, 0xe544866fu, 0x79d026f2u, 0xcd9bbc70u, 0xbe92dd5du, 0x160e0362u, 0x349adb2bu}} + , {{0x10f1fc6fu, 0x17c40d52u, 0xa801ce38u, 0xd791dcc5u, 0xba7a5882u, 0xbd286595u, 0xc588af6bu, 0x6853facbu}} + , {{0x4614fa1au, 0x08820245u, 0x042fa54bu, 0x7eaf83ecu, 0xaf235f35u, 0x3d5a6e2fu, 0x0b2bc058u, 0xae56ada5u}} + , {{0x590ed90eu, 0x096efc99u, 0x6a264056u, 0xb789f8bcu, 0x280b88f8u, 0x20354278u, 0x718efad0u, 0xb90f34d2u}} + , {{0xe40826b1u, 0x173e0e25u, 0x118f0b3au, 0x74553580u, 0x67c6241cu, 0x47dbeb87u, 0xd8f8f3f7u, 0xba30b6d0u}} + , {{0x654eedfeu, 0x51487de7u, 0x5c70ecd6u, 0x09a94f47u, 0x92ee4e8cu, 0x1f19cf86u, 0x547f67c8u, 0xdf29474cu}} + , {{0xcc705c34u, 0x1dc4da07u, 0xfde28d3cu, 0x47a3290fu, 0x692dee07u, 0x0f1eef2du, 0x2e8cd82fu, 0xd20e310cu}} + , {{0xea08c853u, 0xe8e89828u, 0xc5bebfceu, 0xb8e24ea0u, 0x12fbd629u, 0x3cd941f3u, 0xc0db244eu, 0x501a3a86u}} + , {{0x71cbe799u, 0x84203e59u, 0x4180ee67u, 0x55b84b44u, 0xab613012u, 0xfad37395u, 0x46da408bu, 0xa05d4d9au}} + , {{0x3e828931u, 0xf36f6ae6u, 0x6ab13e31u, 0x7703080du, 0x89acb530u, 0xedf74614u, 0x5f32045cu, 0x3ae179a3u}} + , {{0x38930a55u, 0x7759db60u, 0x40292b95u, 0x2a045d65u, 0xbd2091eau, 0xe2b9f525u, 0xaa84c7b8u, 0xa05ed7d7u}} + , {{0xf8fbbe3du, 0xdb9df546u, 0xfb71ff79u, 0x8c4928fbu, 0x41b4fae0u, 0xb4ac1037u, 0x32877e12u, 0x51612ed1u}} + , {{0x5f8feab9u, 0x31be75f2u, 0x8205b2eeu, 0x1ed9582eu, 0xf3f39840u, 0xfc4a06cfu, 0x6f6ef72cu, 0x7a58248bu}} + , {{0x5c12191au, 0x1da94222u, 0x8f94750cu, 0x83ce1a6eu, 0x55d88ecbu, 0x410c2e8eu, 0x8fb0e7beu, 0x67cb4f45u}} + , {{0x92797ffcu, 0x16c2b033u, 0x62723bd5u, 0x760050b4u, 0x02238052u, 0x53bd8f15u, 0x0f65babbu, 0x40ea253fu}} + , {{0xe6509f99u, 0xc2998f33u, 0xa12d6498u, 0x2b7c781fu, 0xa1f55545u, 0x82dbc372u, 0x7d4c3b4du, 0x3993706bu}} + , {{0xad386542u, 0x681dcf7eu, 0x45ab7b3eu, 0x6da69676u, 0xbfd4f728u, 0xaa8e1c2bu, 0x62a695e4u, 0x9b09471du}} + , {{0xc1d496a9u, 0x822394deu, 0x42331e75u, 0x16f27f5eu, 0xf62f58f6u, 0x4c8ef91au, 0x121e3bdcu, 0x449a6b99u}} + , {{0xa160a327u, 0x73cf3508u, 0xdf399538u, 0x5aa5f391u, 0xcf3dbab0u, 0x6b81bf38u, 0x736e2d81u, 0xa615691du}} + , {{0x2853c986u, 0xa6215abeu, 0x312487c9u, 0x113d772bu, 0xbe528e86u, 0xbf5c0694u, 0xebdc7fe7u, 0x29782b27u}} + , {{0x7a132f33u, 0xbd6ecca3u, 0xff7916b1u, 0x35271940u, 0x159e3142u, 0x13111101u, 0x3a68e0b2u, 0xc7addac5u}} + , {{0x979e5528u, 0x99103968u, 0x9fc49d38u, 0xfceac8c0u, 0x347fde1du, 0xeee2f812u, 0xe1e4718fu, 0xddcd0eaau}} + , {{0x7649c4f5u, 0x3b70d8beu, 0x278cdfd9u, 0x2d0e1378u, 0x7bf62a9cu, 0x5b787957u, 0xd71ddfaeu, 0xc6e06458u}} + , {{0xf33dc39bu, 0x53d6cd1au, 0x3fdff95du, 0x426ee01bu, 0x8dd3fd32u, 0x1bebc7ecu, 0xb67ef3d2u, 0x36e6b8f1u}} + , {{0x540c286cu, 0xbc6ff0abu, 0x27e1613du, 0x177887dau, 0x488e7f5bu, 0xc1ae4416u, 0x424d14c5u, 0x6adfc2d4u}} }; + +#endif diff --git a/prefix.h b/prefix.h new file mode 100644 index 00000000000..cf9bf227dcc --- /dev/null +++ b/prefix.h @@ -0,0 +1,3 @@ +#ifndef SIMPLICITY_PREFIX +#define SIMPLICITY_PREFIX "Simplicity-Draft" +#endif diff --git a/primitive.h b/primitive.h new file mode 100644 index 00000000000..81772ce7d1e --- /dev/null +++ b/primitive.h @@ -0,0 +1,40 @@ +/* This module defines the interface that each Simplicity application must implement. + */ +#ifndef SIMPLICITY_PRIMITIVE_H +#define SIMPLICITY_PRIMITIVE_H + +#include "bitstream.h" +#include "typeInference.h" + +/* Allocate a fresh set of unification variables bound to at least all the types necessary + * for all the jets that can be created by 'decodeJet', and also the type 'TWO^256', + * and also allocate space for 'extra_var_len' many unification variables. + * Return the number of non-trivial bindings created. + * + * However, if malloc fails, then return 0. + * + * Precondition: NULL != bound_var; + * NULL != word256_ix; + * NULL != extra_var_start; + * + * Postcondition: Either '*bound_var == NULL' and the function returns 0 + * or 'unification_var (*bound_var)[*extra_var_start + extra_var_len]' is an array of unification variables + * such that for any 'jet : A |- B' there is some 'i < *extra_var_start' and 'j < *extra_var_start' such that + * '(*bound_var)[i]' is bound to 'A' and '(*bound_var)[j]' is bound to 'B' + * and, '*word256_ix < *extra_var_start' and '(*bound_var)[*word256_ix]' is bound the type 'TWO^256' + */ +size_t mallocBoundVars(unification_var** bound_var, size_t* word256_ix, size_t* extra_var_start, size_t extra_var_len); + +/* Decode an Elements specific jet from 'stream' into 'node'. + * All jets begin with a bit prefix of '1' which needs to have already been consumed from the 'stream'. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' if the stream's prefix doesn't match any valid code for a jet. + * Returns 'SIMPLICITY_ERR_BITSTRING_EOF' if not enough bits are available in the 'stream'. + * In the above error cases, 'dag' may be modified. + * Returns 0 if successful. + * + * Precondition: NULL != node + * NULL != stream + */ +int32_t decodeJet(dag_node* node, bitstream* stream); + +#endif diff --git a/primitive/elements/checkSigHashAllTx1.c b/primitive/elements/checkSigHashAllTx1.c new file mode 100644 index 00000000000..bc120c6aafb --- /dev/null +++ b/primitive/elements/checkSigHashAllTx1.c @@ -0,0 +1,34 @@ +#include "checkSigHashAllTx1.h" + +/* A length-prefixed encoding of the following Simplicity program: + * Simplicity.Programs.CheckSig.Lib.checkSigVerify' Simplicity.Elements.Programs.SigHash.Lib.sigAllHash + * (Simplicity.LibSecp256k1.Spec.PubKey 0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63) + * (Simplicity.LibSecp256k1.Spec.Sig 0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63 + * 0x48d05bd9ffdacec16661040ede83ebff68a671474d6c543629f4aaba692e6d92) + * with jets. + */ +const unsigned char elementsCheckSigHashAllTx1[] = { + 0xd3, 0x69, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x3b, 0x78, 0xce, 0x56, 0x3f, 0x89, 0xa0, + 0xed, 0x94, 0x14, 0xf5, 0xaa, 0x28, 0xad, 0x0d, 0x96, 0xd6, 0x79, 0x5f, 0x9c, 0x63, 0x47, 0x07, 0x02, 0xc0, 0xe2, 0x8d, + 0x88, 0x11, 0xe9, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x1d, 0xbc, 0x67, 0x2b, 0x1f, + 0xc4, 0xd0, 0x76, 0xca, 0x0a, 0x7a, 0xd5, 0x14, 0x56, 0x86, 0xcb, 0x6b, 0x3c, 0xaf, 0xce, 0x31, 0xa4, 0x68, 0x2d, 0xec, + 0xff, 0xed, 0x67, 0x60, 0xb3, 0x30, 0x82, 0x07, 0x6f, 0x41, 0xf5, 0xff, 0xb4, 0x53, 0x38, 0xa3, 0xa6, 0xb6, 0x2a, 0x1b, + 0x14, 0xfa, 0x55, 0x5d, 0x34, 0x97, 0x36, 0xc9, 0x00 +}; + +const size_t sizeof_elementsCheckSigHashAllTx1 = sizeof(elementsCheckSigHashAllTx1); + +/* The commitment Merkle root of the above elementsCheckSigHashAllTx1 Simplicity expression. */ +const uint32_t elementsCheckSigHashAllTx1_cmr[] = { + 0x8efb609eu, 0xde751a04u, 0xfbf80acbu, 0xc7472decu, 0x1a014fc3u, 0x8b31f67cu, 0x02e30799u, 0x5780ccfdu +}; + +/* The identity Merkle root of the above elementsCheckSigHashAllTx1 Simplicity expression. */ +const uint32_t elementsCheckSigHashAllTx1_imr[] = { + 0x6615a39fu, 0x72a48607u, 0x5d17eb2du, 0xeed1ae0au, 0xe0f19ae6u, 0x77c52b81u, 0x4d773844u, 0x891a4230u +}; + +/* The annotated Merkle root of the above elementsCheckSigHashAllTx1 Simplicity expression. */ +const uint32_t elementsCheckSigHashAllTx1_amr[] = { + 0x07ae1442u, 0x19ff5865u, 0x60af036eu, 0x93f84e0eu, 0x1e565ce9u, 0xa1a13cdbu, 0x6e90fc07u, 0xe15e21c8u +}; diff --git a/primitive/elements/checkSigHashAllTx1.h b/primitive/elements/checkSigHashAllTx1.h new file mode 100644 index 00000000000..dffaec9b6f9 --- /dev/null +++ b/primitive/elements/checkSigHashAllTx1.h @@ -0,0 +1,26 @@ +#ifndef SIMPLICITY_PRIMITIVE_ELEMENTS_CHECKSIGHASHALLTX1_H +#define SIMPLICITY_PRIMITIVE_ELEMENTS_CHECKSIGHASHALLTX1_H + +#include +#include + +/* A length-prefixed encoding of the following Simplicity program: + * Simplicity.Programs.CheckSig.Lib.checkSigVerify' Simplicity.Elements.Programs.SigHash.Lib.sigAllHash + * (Simplicity.LibSecp256k1.Spec.PubKey 0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63) + * (Simplicity.LibSecp256k1.Spec.Sig 0x00000000000000000000003b78ce563f89a0ed9414f5aa28ad0d96d6795f9c63 + * 0x48d05bd9ffdacec16661040ede83ebff68a671474d6c543629f4aaba692e6d92) + * with jets. + */ +extern const unsigned char elementsCheckSigHashAllTx1[]; +extern const size_t sizeof_elementsCheckSigHashAllTx1; + +/* The commitment Merkle root of the above elementsCheckSigHashAllTx1 Simplicity expression. */ +extern const uint32_t elementsCheckSigHashAllTx1_cmr[]; + +/* The identity Merkle root of the above elementsCheckSigHashAllTx1 Simplicity expression. */ +extern const uint32_t elementsCheckSigHashAllTx1_imr[]; + +/* The annotated Merkle root of the above elementsCheckSigHashAllTx1 Simplicity expression. */ +extern const uint32_t elementsCheckSigHashAllTx1_amr[]; + +#endif diff --git a/primitive/elements/env.c b/primitive/elements/env.c new file mode 100644 index 00000000000..aca3f9b26dc --- /dev/null +++ b/primitive/elements/env.c @@ -0,0 +1,593 @@ +#include + +#include +#include +#include +#include +#include "primitive.h" +#include "ops.h" +#include "../../sha256.h" +#include "../../unreachable.h" + +#define PADDING(alignType, allocated) ((alignof(alignType) - (allocated) % alignof(alignType)) % alignof(alignType)) + +/* Add an 'confidential' value to be consumed by an ongoing SHA-256 evaluation. + * If the 'confidential' value is blinded, then the 'evenPrefix' used if the y coordinate is even, + * and the 'oddPrefix' is used if the y coordinate is odd. + * If the 'confidential' value is explicit, then '0x01' is used as the prefix. + * If the 'confidential' value is "NULL" then only '0x00' added. + * + * Precondition: NULL != ctx; + * NULL != conf; + */ +static void sha256_confidential(unsigned char evenPrefix, unsigned char oddPrefix, sha256_context* ctx, const confidential* conf) { + switch (conf->prefix) { + case NONE: sha256_uchar(ctx, 0x00); return; + case EXPLICIT: sha256_uchar(ctx, 0x01); break; + case EVEN_Y: sha256_uchar(ctx, evenPrefix); break; + case ODD_Y: sha256_uchar(ctx, oddPrefix); break; + } + sha256_hash(ctx, &conf->data); +} + +/* Add an 'confidential' asset to be consumed by an ongoing SHA-256 evaluation. + * + * Precondition: NULL != ctx; + * NULL != asset; + */ +static void sha256_confAsset(sha256_context* ctx, const confidential* asset) { + sha256_confidential(0x0a, 0x0b, ctx, asset); +} + +/* Add an 'confidential' nonce to be consumed by an ongoing SHA-256 evaluation. + * + * Precondition: NULL != ctx; + * NULL != nonce; + */ +static void sha256_confNonce(sha256_context* ctx, const confidential* nonce) { + sha256_confidential(0x02, 0x03, ctx, nonce); +} + +/* Add an 'confidential' amount to be consumed by an ongoing SHA-256 evaluation. + * + * Precondition: NULL != ctx; + * NULL != amt; + */ +static void sha256_confAmt(sha256_context* ctx, const confAmount* amt) { + switch (amt->prefix) { + case NONE: assert(false); UNREACHABLE; + case EXPLICIT: + sha256_uchar(ctx, 0x01); + sha256_u64be(ctx, amt->explicit); + return; + case EVEN_Y: + case ODD_Y: + sha256_uchar(ctx, EVEN_Y == amt->prefix ? 0x08 : 0x09); + sha256_hash(ctx, &amt->confidential); + return; + } +} + +/* Compute the SHA-256 hash of a scriptPubKey and write it into 'result'. + * + * Precondition: NULL != result; + * NULL != scriptPubKey; + */ +static void hashBuffer(sha256_midstate* result, const rawBuffer* buffer) { + sha256_context ctx = sha256_init(result->s); + sha256_uchars(&ctx, buffer->buf, buffer->len); + sha256_finalize(&ctx); +} + +/* Initialize a 'confidential' asset or 'confidential' nonce from an unsigned char array from a 'rawTransaction'. + * + * Precondition: NULL != conf; + * unsigned char rawConf[33] or rawConf == NULL; + */ +static void copyRawConfidential(confidential* conf, const unsigned char* rawConf) { + if (rawConf) { + *conf = (confidential){ .prefix = 0x01 == rawConf[0] ? EXPLICIT + : 0x01 == (0x01 & rawConf[0]) ? ODD_Y + : EVEN_Y + }; + sha256_toMidstate(conf->data.s, &rawConf[1]); + } else { + *conf = (confidential){0}; + } +} + +/* Initialize a 'confAmount' from an unsigned char array from a 'rawTransaction'. + * + * Precondition: NULL != amt; + * unsigned char rawAmt[rawAmt[0] == 0x01 ? 9 : 33] or rawAmt == NULL + */ +static void copyRawAmt(confAmount* amt, const unsigned char* rawAmt) { + if (rawAmt) { + if (0x01 == rawAmt[0]) { + amt->prefix = EXPLICIT; + amt->explicit = ReadBE64(&rawAmt[1]); + } else { + amt->prefix = 0x01 == (0x01 & rawAmt[0]) ? ODD_Y : EVEN_Y; + sha256_toMidstate(amt->confidential.s, &rawAmt[1]); + } + } else { + amt->prefix = EXPLICIT; + amt->explicit = 0; + } +} + +/* Initialize a 'sigInput' from a 'rawInput', copying or hashing the data as needed. + * + * Precondition: NULL != result; + * NULL != input; + */ +static void copyInput(sigInput* result, const rawInput* input) { + *result = (sigInput){ .prevOutpoint = { .ix = input->prevIx } + , .sequence = input->sequence + , .isPegin = !!input->pegin + , .hasAnnex = !!input->annex + }; + + if (input->annex) hashBuffer(&result->annexHash, input->annex); + if (input->pegin) sha256_toMidstate(result->pegin.s, input->pegin); + sha256_toMidstate(result->prevOutpoint.txid.s, input->prevTxid); + hashBuffer(&result->txo.scriptPubKey, &input->txo.scriptPubKey); + copyRawConfidential(&result->txo.asset, input->txo.asset); + copyRawAmt(&result->txo.amt, input->txo.value); + hashBuffer(&result->scriptSigHash, &input->scriptSig); + hashBuffer(&result->issuance.assetRangeProofHash, &(rawBuffer){0}); + hashBuffer(&result->issuance.tokenRangeProofHash, &(rawBuffer){0}); + if (input->issuance.amount || input->issuance.inflationKeys) { + sha256_toMidstate(result->issuance.blindingNonce.s, input->issuance.blindingNonce); + copyRawAmt(&result->issuance.assetAmt, input->issuance.amount); + if (is_confidential(result->issuance.assetAmt.prefix)) hashBuffer(&result->issuance.assetRangeProofHash, &input->issuance.amountRangePrf); + if (0 == result->issuance.blindingNonce.s[0] && 0 == result->issuance.blindingNonce.s[1] && + 0 == result->issuance.blindingNonce.s[2] && 0 == result->issuance.blindingNonce.s[3] && + 0 == result->issuance.blindingNonce.s[4] && 0 == result->issuance.blindingNonce.s[5] && + 0 == result->issuance.blindingNonce.s[6] && 0 == result->issuance.blindingNonce.s[7]) { + sha256_toMidstate(result->issuance.contractHash.s, input->issuance.assetEntropy); + result->issuance.entropy = generateIssuanceEntropy(&result->prevOutpoint, &result->issuance.contractHash); + copyRawAmt(&result->issuance.tokenAmt, input->issuance.inflationKeys); + if (is_confidential(result->issuance.tokenAmt.prefix)) hashBuffer(&result->issuance.tokenRangeProofHash, &input->issuance.inflationKeysRangePrf); + result->issuance.type = NEW_ISSUANCE; + } else { + sha256_toMidstate(result->issuance.entropy.s, input->issuance.assetEntropy); + result->issuance.type = REISSUANCE; + } + result->issuance.assetId = calculateAsset(&result->issuance.entropy); + result->issuance.tokenId = calculateToken(&result->issuance.entropy, result->issuance.assetAmt.prefix); + } +} + +/* If the 'scriptPubKey' is a TX_NULL_DATA, return a count of the number of "push only" operations (this excludes the OP_RETURN). + * Otherwise return 0. + * + * Note: that a TX_NULL_DATA could have zero "push only" operations, + * in which case 0 is returned even though it is a TX_NULL_DATA scriptPubKey. + * + * Precondition: NULL != scriptPubKey + */ +static uint_fast32_t countNullDataCodes(const rawBuffer* scriptPubKey) { + if (0 == scriptPubKey->len || 0x6a != scriptPubKey->buf[0] ) return 0; + + uint_fast32_t result = 0; + for (uint_fast32_t i = 1; i < scriptPubKey->len;) { + uint_fast32_t skip = 0; + unsigned char code = scriptPubKey->buf[i++]; + if (0x60 < code) return 0; + if (code < 0x4c) { + skip = code; + } else if (code < 0x4f) { + if (scriptPubKey->len == i) return 0; + skip = scriptPubKey->buf[i++]; + if (0x4d <= code) { + if (scriptPubKey->len == i) return 0; + skip += (uint_fast32_t)(scriptPubKey->buf[i++]) << 8; + if (0x4e <= code) { + if (scriptPubKey->len == i) return 0; + skip += (uint_fast32_t)(scriptPubKey->buf[i++]) << 16; + if (scriptPubKey->len == i) return 0; + skip += (uint_fast32_t)(scriptPubKey->buf[i++]) << 24; + } + } + } + if (scriptPubKey->len - i < skip) return 0; + i += skip; + result++; + } + return result; +} + +/* Return a count of the total number of "push only" operations in all output scriptPubKey's that are TX_NULL_DATA. + * + * Precondition: NULL != rawTx + */ +static uint_fast64_t countTotalNullDataCodes(const rawTransaction* rawTx) { + uint_fast64_t result = 0; + for (uint_fast32_t i = 0; i < rawTx->numOutputs; ++i) { + result += countNullDataCodes(&rawTx->output[i].scriptPubKey); + } + return result; +} + +/* Determine if 'scriptPubKey' is a TX_NULL_DATA script, and fill 'result' with (digests of) the push data opcodes. + * If 'scriptPubKey' isn't a TX_NULL_DATA, then 'result->op' is set to NULL. + * Otherwise '*result' is set to '(parsedNullData){ .op = *allocation, .len = countNullDataCodes(scriptPubKey) }. + * and then the 'opcode result->op[result->len]' array is filled in with (digests of) the pus data opcode. + * and '*allocation' is incremented by 'result->len' + * and '*allocationLen' is decremented by 'result->len'. + * Values in the '*allocation' array may be modified. + * + * Note: even if '*allocationLen == 0' we require that '*allocation != NULL' as a precondition + * in order for 'result' to distinguish between non-NULL_TX_DATA and empty NULL_TX_data + * + * Precondition: NULL != result; + * NULL != *allocation; + * opcode (*allocation)[*allocationLen]; + * NULL != scriptPubKey; + * countNullDataCodes(scriptPubKey) <= *allocationLen + */ +static void parseNullData(parsedNullData* result, opcode** allocation, size_t* allocationLen, const rawBuffer* scriptPubKey) { + *result = (parsedNullData){ .op = *allocation }; + + if (0 == scriptPubKey->len || 0x6a != scriptPubKey->buf[0] ) { result->op = NULL; return; } + + for (uint_fast32_t i = 1; i < scriptPubKey->len; ++result->len) { + unsigned char code = scriptPubKey->buf[i++]; + if (*allocationLen <= result->len || 0x60 < code) { result->op = NULL; return; } + if (0x4f <= code) { + (*allocation)[result->len].code = OP_1NEGATE + (code - 0x4f); + } else { + uint_fast32_t skip = 0; + if (code < 0x4c) { + skip = code; + (*allocation)[result->len].code = OP_IMMEDIATE; + } else { + if (scriptPubKey->len == i) { result->op = NULL; return; } + skip = scriptPubKey->buf[i++]; + if (code < 0x4d) { + (*allocation)[result->len].code = OP_PUSHDATA; + } else { + if (scriptPubKey->len == i) { result->op = NULL; return; } + skip += (uint_fast32_t)(scriptPubKey->buf[i++]) << 8; + if (code < 0x4e) { + (*allocation)[result->len].code = OP_PUSHDATA2; + } else { + if (scriptPubKey->len == i) { result->op = NULL; return; } + skip += (uint_fast32_t)(scriptPubKey->buf[i++]) << 16; + if (scriptPubKey->len == i) { result->op = NULL; return; } + skip += (uint_fast32_t)(scriptPubKey->buf[i++]) << 24; + (*allocation)[result->len].code = OP_PUSHDATA4; + } + } + } + if (scriptPubKey->len - i < skip) { result->op = NULL; return; } + { + sha256_context ctx = sha256_init((*allocation)[result->len].dataHash.s); + sha256_uchars(&ctx, &scriptPubKey->buf[i], skip); + sha256_finalize(&ctx); + } + i += skip; + } + } + *allocation += result->len; /* C requires '*allocation != NULL', even when 'result->len == 0'. */ + *allocationLen -= result->len; +} + +/* Initialize a 'sigOutput' from a 'rawOuput', copying or hashing the data as needed. + * + * '*allocation' is incremented by 'countNullDataCodes(&output->scriptPubKey)' + * '*allocationLen' is decremented by 'countNullDataCodes(&output->scriptPubKey)'. + * Values in the '*allocation' array may be modified. + * + * Precondition: NULL != result; + * NULL != *allocation; + * opcode (*allocation)[*allocationLen]; + * NULL != output; + * countNullDataCodes(&output->scriptPubKey) <= *allocationLen + */ +static void copyOutput(sigOutput* result, opcode** allocation, size_t* allocationLen, const rawOutput* output) { + hashBuffer(&result->scriptPubKey, &output->scriptPubKey); + copyRawConfidential(&result->asset, output->asset); + copyRawAmt(&result->amt, output->value); + copyRawConfidential(&result->nonce, output->nonce); + parseNullData(&result->pnd, allocation, allocationLen, &output->scriptPubKey); + result->isNullData = NULL != result->pnd.op; + hashBuffer(&result->surjectionProofHash, is_confidential(result->asset.prefix) ? &output->surjectionProof : &(rawBuffer){0}); + hashBuffer(&result->rangeProofHash, is_confidential(result->amt.prefix) ? &output->rangeProof : &(rawBuffer){0}); +} + +/* Allocate and initialize a 'transaction' from a 'rawOuput', copying or hashing the data as needed. + * Returns NULL if malloc fails (or if malloc cannot be called because we require an allocation larger than SIZE_MAX). + * + * Precondition: NULL != rawTx + */ +extern transaction* elements_simplicity_mallocTransaction(const rawTransaction* rawTx) { + if (!rawTx) return NULL; + + size_t allocationSize = sizeof(transaction); + + const size_t pad1 = PADDING(sigInput, allocationSize); + if (SIZE_MAX - allocationSize < pad1) return NULL; + allocationSize += pad1; + + /* Multiply by (size_t)1 to disable type-limits warning. */ + if (SIZE_MAX / sizeof(sigInput) < (size_t)1 * rawTx->numInputs) return NULL; + if (SIZE_MAX - allocationSize < rawTx->numInputs * sizeof(sigInput)) return NULL; + allocationSize += rawTx->numInputs * sizeof(sigInput); + + const size_t pad2 = PADDING(sigOutput, allocationSize); + if (SIZE_MAX - allocationSize < pad2) return NULL; + allocationSize += pad2; + + /* Multiply by (size_t)1 to disable type-limits warning. */ + if (SIZE_MAX / sizeof(sigOutput) < (size_t)1 * rawTx->numOutputs) return NULL; + if (SIZE_MAX - allocationSize < rawTx->numOutputs * sizeof(sigOutput)) return NULL; + allocationSize += rawTx->numOutputs * sizeof(sigOutput); + + const size_t pad3 = PADDING(opcode, allocationSize); + if (SIZE_MAX - allocationSize < pad3) return NULL; + allocationSize += pad3; + + const uint_fast64_t totalNullDataCodes = countTotalNullDataCodes(rawTx); + /* Multiply by (size_t)1 to disable type-limits warning. */ + if (SIZE_MAX / sizeof(opcode) < (size_t)1 * totalNullDataCodes) return NULL; + if (SIZE_MAX - allocationSize < totalNullDataCodes * sizeof(opcode)) return NULL; + allocationSize += totalNullDataCodes * sizeof(opcode); + + char *allocation = malloc(allocationSize); + if (!allocation) return NULL; + + transaction* const tx = (transaction*)allocation; + allocation += sizeof(transaction) + pad1; + + sigInput* const input = (sigInput*)allocation; + allocation += rawTx->numInputs * sizeof(sigInput) + pad2; + + sigOutput* const output = (sigOutput*)allocation; + allocation += rawTx->numOutputs * sizeof(sigOutput) + pad3; + + opcode* ops = (opcode*)allocation; + size_t opsLen = (size_t)totalNullDataCodes; + + *tx = (transaction){ .input = input + , .output = output + , .numInputs = rawTx->numInputs + , .numOutputs = rawTx->numOutputs + , .version = rawTx->version + , .lockTime = rawTx->lockTime + , .isFinal = true + }; + + { + sha256_context ctx_inputOutpointsHash = sha256_init(tx->inputOutpointsHash.s); + sha256_context ctx_inputAssetAmountsHash = sha256_init(tx->inputAssetAmountsHash.s); + sha256_context ctx_inputScriptsHash = sha256_init(tx->inputScriptsHash.s); + sha256_context ctx_inputUTXOsHash = sha256_init(tx->inputUTXOsHash.s); + sha256_context ctx_inputSequencesHash = sha256_init(tx->inputSequencesHash.s); + sha256_context ctx_inputAnnexesHash = sha256_init(tx->inputAnnexesHash.s); + sha256_context ctx_inputScriptSigsHash = sha256_init(tx->inputScriptSigsHash.s); + sha256_context ctx_inputsHash = sha256_init(tx->inputsHash.s); + sha256_context ctx_issuanceAssetAmountsHash = sha256_init(tx->issuanceAssetAmountsHash.s); + sha256_context ctx_issuanceTokenAmountsHash = sha256_init(tx->issuanceTokenAmountsHash.s); + sha256_context ctx_issuanceRangeProofsHash = sha256_init(tx->issuanceRangeProofsHash.s); + sha256_context ctx_issuanceBlindingEntropyHash = sha256_init(tx->issuanceBlindingEntropyHash.s); + sha256_context ctx_issuancesHash = sha256_init(tx->issuancesHash.s); + for (uint_fast32_t i = 0; i < tx->numInputs; ++i) { + copyInput(&input[i], &rawTx->input[i]); + if (input[i].sequence < 0xffffffff) { tx->isFinal = false; } + if (input[i].sequence < 0x80000000) { + const uint_fast16_t maskedSequence = input[i].sequence & 0xffff; + if (input[i].sequence & ((uint_fast32_t)1 << 22)) { + if (tx->lockDuration < maskedSequence) tx->lockDuration = maskedSequence; + } else { + if (tx->lockDistance < maskedSequence) tx->lockDistance = maskedSequence; + } + } + if (input[i].isPegin) { + sha256_uchar(&ctx_inputOutpointsHash, 1); + sha256_hash(&ctx_inputOutpointsHash, &input[i].pegin); + } else { + sha256_uchar(&ctx_inputOutpointsHash, 0); + } + sha256_hash(&ctx_inputOutpointsHash, &input[i].prevOutpoint.txid); + sha256_u32be(&ctx_inputOutpointsHash, input[i].prevOutpoint.ix); + sha256_confAsset(&ctx_inputAssetAmountsHash, &input[i].txo.asset); + sha256_confAmt(&ctx_inputAssetAmountsHash, &input[i].txo.amt); + sha256_hash(&ctx_inputScriptsHash, &input[i].txo.scriptPubKey); + sha256_u32be(&ctx_inputSequencesHash, input[i].sequence); + if (input[i].hasAnnex) { + sha256_uchar(&ctx_inputAnnexesHash, 1); + sha256_hash(&ctx_inputAnnexesHash, &input[i].annexHash); + } else { + sha256_uchar(&ctx_inputAnnexesHash, 0); + } + sha256_hash(&ctx_inputScriptSigsHash, &input[i].scriptSigHash); + if (NO_ISSUANCE == input[i].issuance.type) { + sha256_uchar(&ctx_issuanceAssetAmountsHash, 0); + sha256_uchar(&ctx_issuanceAssetAmountsHash, 0); + sha256_uchar(&ctx_issuanceTokenAmountsHash, 0); + sha256_uchar(&ctx_issuanceTokenAmountsHash, 0); + sha256_uchar(&ctx_issuanceBlindingEntropyHash, 0); + } else { + sha256_confAsset(&ctx_issuanceAssetAmountsHash, &(confidential){ .prefix = EXPLICIT, .data = input[i].issuance.assetId}); + sha256_confAsset(&ctx_issuanceTokenAmountsHash, &(confidential){ .prefix = EXPLICIT, .data = input[i].issuance.tokenId}); + sha256_confAmt(&ctx_issuanceAssetAmountsHash, &input[i].issuance.assetAmt); + sha256_confAmt(&ctx_issuanceTokenAmountsHash, NEW_ISSUANCE == input[i].issuance.type + ? &input[i].issuance.tokenAmt + : &(confAmount){ .prefix = EXPLICIT, .explicit = 0}); + sha256_uchar(&ctx_issuanceBlindingEntropyHash, 1); + if (NEW_ISSUANCE == input[i].issuance.type) { + sha256_uchars(&ctx_issuanceBlindingEntropyHash, (unsigned char[32]){0}, 32); + sha256_hash(&ctx_issuanceBlindingEntropyHash, &input[i].issuance.contractHash); + } else { + sha256_hash(&ctx_issuanceBlindingEntropyHash, &input[i].issuance.blindingNonce); + sha256_hash(&ctx_issuanceBlindingEntropyHash, &input[i].issuance.entropy); + } + } + sha256_hash(&ctx_issuanceRangeProofsHash, &input[i].issuance.assetRangeProofHash); + sha256_hash(&ctx_issuanceRangeProofsHash, &input[i].issuance.tokenRangeProofHash); + } + sha256_finalize(&ctx_inputOutpointsHash); + sha256_finalize(&ctx_inputAssetAmountsHash); + sha256_finalize(&ctx_inputScriptsHash); + sha256_finalize(&ctx_inputSequencesHash); + sha256_finalize(&ctx_inputAnnexesHash); + sha256_finalize(&ctx_inputScriptSigsHash); + + sha256_hash(&ctx_inputUTXOsHash, &tx->inputAssetAmountsHash); + sha256_hash(&ctx_inputUTXOsHash, &tx->inputScriptsHash); + sha256_finalize(&ctx_inputUTXOsHash); + + sha256_hash(&ctx_inputsHash, &tx->inputOutpointsHash); + sha256_hash(&ctx_inputsHash, &tx->inputSequencesHash); + sha256_hash(&ctx_inputsHash, &tx->inputAnnexesHash); + sha256_finalize(&ctx_inputsHash); + + sha256_finalize(&ctx_issuanceAssetAmountsHash); + sha256_finalize(&ctx_issuanceTokenAmountsHash); + sha256_finalize(&ctx_issuanceRangeProofsHash); + sha256_finalize(&ctx_issuanceBlindingEntropyHash); + + sha256_hash(&ctx_issuancesHash, &tx->issuanceAssetAmountsHash); + sha256_hash(&ctx_issuancesHash, &tx->issuanceTokenAmountsHash); + sha256_hash(&ctx_issuancesHash, &tx->issuanceRangeProofsHash); + sha256_hash(&ctx_issuancesHash, &tx->issuanceBlindingEntropyHash); + sha256_finalize(&ctx_issuancesHash); + } + + { + sha256_context ctx_outputAssetAmountsHash = sha256_init(tx->outputAssetAmountsHash.s); + sha256_context ctx_outputNoncesHash = sha256_init(tx->outputNoncesHash.s); + sha256_context ctx_outputScriptsHash = sha256_init(tx->outputScriptsHash.s); + sha256_context ctx_outputRangeProofsHash = sha256_init(tx->outputRangeProofsHash.s); + sha256_context ctx_outputSurjectionProofsHash = sha256_init(tx->outputSurjectionProofsHash.s); + sha256_context ctx_outputsHash = sha256_init(tx->outputsHash.s); + for (uint_fast32_t i = 0; i < tx->numOutputs; ++i) { + copyOutput(&output[i], &ops, &opsLen, &rawTx->output[i]); + sha256_confAsset(&ctx_outputAssetAmountsHash, &output[i].asset); + sha256_confAmt(&ctx_outputAssetAmountsHash, &output[i].amt); + sha256_confNonce(&ctx_outputNoncesHash, &output[i].nonce); + sha256_hash(&ctx_outputScriptsHash, &output[i].scriptPubKey); + sha256_hash(&ctx_outputRangeProofsHash, &output[i].rangeProofHash); + sha256_hash(&ctx_outputSurjectionProofsHash, &output[i].surjectionProofHash); + } + sha256_finalize(&ctx_outputAssetAmountsHash); + sha256_finalize(&ctx_outputNoncesHash); + sha256_finalize(&ctx_outputScriptsHash); + sha256_finalize(&ctx_outputRangeProofsHash); + sha256_finalize(&ctx_outputSurjectionProofsHash); + + sha256_hash(&ctx_outputsHash, &tx->outputAssetAmountsHash); + sha256_hash(&ctx_outputsHash, &tx->outputNoncesHash); + sha256_hash(&ctx_outputsHash, &tx->outputScriptsHash); + sha256_hash(&ctx_outputsHash, &tx->outputRangeProofsHash); + sha256_finalize(&ctx_outputsHash); + } + { + sha256_context ctx_txHash = sha256_init(tx->txHash.s); + sha256_u32be(&ctx_txHash, tx->version); + sha256_u32be(&ctx_txHash, tx->lockTime); + sha256_hash(&ctx_txHash, &tx->inputsHash); + sha256_hash(&ctx_txHash, &tx->outputsHash); + sha256_hash(&ctx_txHash, &tx->issuancesHash); + sha256_hash(&ctx_txHash, &tx->outputSurjectionProofsHash); + sha256_hash(&ctx_txHash, &tx->inputUTXOsHash); + sha256_finalize(&ctx_txHash); + } + + return tx; +} + +/* Allocate and initialize a 'tapEnv' from a 'rawTapEnv', copying or hashing the data as needed. + * Returns NULL if malloc fails (or if malloc cannot be called because we require an allocation larger than SIZE_MAX). + * + * Precondition: *rawEnv is well-formed (i.e. rawEnv->branchLen <= 128.) + */ +extern tapEnv* elements_simplicity_mallocTapEnv(const rawTapEnv* rawEnv) { + if (!rawEnv) return NULL; + if (128 < rawEnv->branchLen) return NULL; + + size_t allocationSize = sizeof(tapEnv); + + const size_t numMidstate = rawEnv->branchLen; + const size_t pad1 = PADDING(sha256_midstate, allocationSize); + + if (numMidstate) { + if (SIZE_MAX - allocationSize < pad1) return NULL; + allocationSize += pad1; + + if (SIZE_MAX / sizeof(sha256_midstate) < numMidstate) return NULL; + if (SIZE_MAX - allocationSize < numMidstate * sizeof(sha256_midstate)) return NULL; + allocationSize += numMidstate * sizeof(sha256_midstate); + } + + char *allocation = malloc(allocationSize); + if (!allocation) return NULL; + + tapEnv* const env = (tapEnv*)allocation; + sha256_midstate* branch = NULL; + sha256_midstate internalKey; + + sha256_toMidstate(internalKey.s, &rawEnv->controlBlock[1]); + + if (numMidstate) { + allocation += sizeof(tapEnv) + pad1; + + if (rawEnv->branchLen) { + branch = (sha256_midstate*)allocation; + } + } + + *env = (tapEnv){ .leafVersion = rawEnv->controlBlock[0] & 0xfe + , .internalKey = internalKey + , .branch = branch + , .branchLen = rawEnv->branchLen + }; + sha256_toMidstate(env->scriptCMR.s, rawEnv->scriptCMR); + + { + sha256_context ctx = sha256_init(env->tapbranchHash.s); + for (int i = 0; i < env->branchLen; ++i) { + sha256_toMidstate(branch[i].s, &rawEnv->controlBlock[33+32*i]); + sha256_hash(&ctx, &branch[i]); + } + sha256_finalize(&ctx); + } + + env->tapLeafHash = make_tapleaf(env->leafVersion, &env->scriptCMR); + + { + sha256_context ctx = sha256_init(env->tapEnvHash.s); + sha256_hash(&ctx, &env->tapLeafHash); + sha256_hash(&ctx, &env->tapbranchHash); + sha256_hash(&ctx, &env->internalKey); + sha256_finalize(&ctx); + } + return env; +} + +/* Contstruct a txEnv structure from its components. + * This function will precompute any cached values. + * + * Precondition: NULL != tx + * NULL != taproot + * NULL != genesisHash + * ix < tx->numInputs + */ +txEnv build_txEnv(const transaction* tx, const tapEnv* taproot, const sha256_midstate* genesisHash, uint_fast32_t ix) { + txEnv result = { .tx = tx + , .taproot = taproot + , .genesisHash = *genesisHash + , .ix = ix + }; + sha256_context ctx = sha256_init(result.sigAllHash.s); + sha256_hash(&ctx, genesisHash); + sha256_hash(&ctx, genesisHash); + sha256_hash(&ctx, &tx->txHash); + sha256_hash(&ctx, &taproot->tapEnvHash); + sha256_u32be(&ctx, ix); + sha256_finalize(&ctx); + + return result; +} diff --git a/primitive/elements/exec.c b/primitive/elements/exec.c new file mode 100644 index 00000000000..7222ade9344 --- /dev/null +++ b/primitive/elements/exec.c @@ -0,0 +1,104 @@ +#include + +#include +#include +#include +#include "primitive.h" +#include "../../deserialize.h" +#include "../../eval.h" +#include "../../typeInference.h" + +/* Deserialize a Simplicity 'program' and execute it in the environment of the 'ix'th input of 'tx' with `taproot`. + * If program isn't a proper encoding of a Simplicity program, including its 'program_len', '*success' is set to false. + * If 'amr != NULL' and the annotated Merkle root of the decoded expression doesn't match 'amr' then '*success' is set to false. + * Otherwise evaluation proceeds and '*success' is set to the result of evaluation. + * If 'imr != NULL' and '*success' is set to true, then the identity Merkle root of the decoded expression is written to 'imr'. + * Otherwise if 'imr != NULL' then 'imr' may or may not be written to. + * + * If at any time there is a transient error, such as malloc failing then 'false' is returned, and 'success' may be modified. + * Otherwise, 'true' is returned. + * + * Precondition: NULL != success; + * NULL != imr implies unsigned char imr[32] + * NULL != tx; + * NULL != taproot; + * unsigned char genesisBlockHash[32] + * NULL != amr implies unsigned char amr[32] + * unsigned char program[program_len] + */ +extern bool elements_simplicity_execSimplicity( bool* success, unsigned char* imr + , const transaction* tx, uint_fast32_t ix, const tapEnv* taproot + , const unsigned char* genesisBlockHash + , const unsigned char* amr + , const unsigned char* program, size_t program_len) { + if (!success || !tx || !taproot || !program) return false; + + bool result; + combinator_counters census; + dag_node* dag; + bitstring witness; + int32_t dag_len; + sha256_midstate amr_hash, genesis_hash; + + if (amr) sha256_toMidstate(amr_hash.s, amr); + sha256_toMidstate(genesis_hash.s, genesisBlockHash); + + { + bitstream stream = initializeBitstream(program, program_len); + dag_len = decodeMallocDag(&dag, &census, &stream); + if (dag_len < 0) { + *success = false; + return PERMANENT_FAILURE(dag_len); + } + + int32_t err = decodeWitnessData(&witness, &stream); + if (err < 0) { + *success = false; + result = PERMANENT_FAILURE(err); + } else { + *success = closeBitstream(&stream); + result = true; + } + } + + if (*success) { + *success = 0 == memcmp(taproot->scriptCMR.s, dag[dag_len-1].cmr.s, sizeof(uint32_t[8])); + if (*success) { + type* type_dag; + result = mallocTypeInference(&type_dag, dag, (size_t)dag_len, &census); + *success = result && type_dag && 0 == dag[dag_len-1].sourceType && 0 == dag[dag_len-1].targetType + && fillWitnessData(dag, type_dag, (size_t)dag_len, witness); + if (*success) { + sha256_midstate* imr_buf = (size_t)dag_len <= SIZE_MAX / sizeof(sha256_midstate) + ? malloc((size_t)dag_len * sizeof(sha256_midstate)) + : NULL; + bool noDupsCheck; + result = imr_buf && verifyNoDuplicateIdentityRoots(&noDupsCheck, imr_buf, dag, type_dag, (size_t)dag_len); + *success = result && noDupsCheck; + if (*success && imr) sha256_fromMidstate(imr, imr_buf[dag_len-1].s); + free(imr_buf); + } + if (*success && amr) { + analyses *analysis = (size_t)dag_len <= SIZE_MAX / sizeof(analyses) + ? malloc((size_t)dag_len * sizeof(analyses)) + : NULL; + if (analysis) { + computeAnnotatedMerkleRoot(analysis, dag, type_dag, (size_t)dag_len); + *success = 0 == memcmp(amr_hash.s, analysis[dag_len-1].annotatedMerkleRoot.s, sizeof(uint32_t[8])); + } else { + /* malloc failed which counts as a transient error. */ + *success = result = false; + } + free(analysis); + } + if (*success) { + txEnv env = build_txEnv(tx, taproot, &genesis_hash, ix); + result = evalTCOProgram(success, dag, type_dag, (size_t)dag_len, &env); + } + free(type_dag); + } + } + + free(dag); + return result; +} diff --git a/primitive/elements/jets.c b/primitive/elements/jets.c new file mode 100644 index 00000000000..ae4c6a88f5d --- /dev/null +++ b/primitive/elements/jets.c @@ -0,0 +1,1166 @@ +#include "jets.h" + +#include "ops.h" +#include "primitive.h" +#include "../../unreachable.h" + +/* Read a 256-bit hash value from the 'src' frame, advancing the cursor 256 cells. + * + * Precondition: '*src' is a valid read frame for 256 more cells; + * NULL != h; + */ +static void readHash(sha256_midstate* h, frameItem *src) { + read32s(h->s, 8, src); +} + +/* Write a 256-bit hash value to the 'dst' frame, advancing the cursor 256 cells. + * + * Precondition: '*dst' is a valid write frame for 256 more cells; + * NULL != h; + */ +static void writeHash(frameItem* dst, const sha256_midstate* h) { + write32s(dst, h->s, 8); +} + +/* Write an outpoint value to the 'dst' frame, advancing the cursor 288 cells. + * + * Precondition: '*dst' is a valid write frame for 288 more cells; + * NULL != op; + */ +static void prevOutpoint(frameItem* dst, const outpoint* op) { + writeHash(dst, &op->txid); + write32(dst, op->ix); +} + +/* Write an confidential asset to the 'dst' frame, advancing the cursor 258 cells. + * + * Precondition: '*dst' is a valid write frame for 258 more cells; + * NULL != asset; + */ +static void asset(frameItem* dst, const confidential* asset) { + if (writeBit(dst, EXPLICIT == asset->prefix)) { + skipBits(dst, 1); + } else { + writeBit(dst, ODD_Y == asset->prefix); + } + writeHash(dst, &asset->data); +} + +/* Write an confidential amount to the 'dst' frame, advancing the cursor 258 cells. + * + * Precondition: '*dst' is a valid write frame for 258 more cells; + * NULL != amt; + */ +static void amt(frameItem* dst, const confAmount* amt) { + if (writeBit(dst, EXPLICIT == amt->prefix)) { + skipBits(dst, 1 + 256 - 64); + write64(dst, amt->explicit); + } else { + writeBit(dst, ODD_Y == amt->prefix); + writeHash(dst, &amt->confidential); + } +} + +/* Write an optional confidential nonce to the 'dst' frame, advancing the cursor 259 cells. + * + * Precondition: '*dst' is a valid write frame for 259 more cells; + * NULL != nonce; + */ +static void nonce(frameItem* dst, const confidential* nonce) { + if (writeBit(dst, NONE != nonce->prefix)) { + if (writeBit(dst, EXPLICIT == nonce->prefix)) { + skipBits(dst, 1); + } else { + writeBit(dst, ODD_Y == nonce->prefix); + } + writeHash(dst, &nonce->data); + } else { + skipBits(dst, 1+1+256); + } +} + +/* Write an optional 'blindingNonce' from an 'assetIssuance' to the 'dst' frame, advancing the cursor 257 cells. + * + * Precondition: '*dst' is a valid write frame for 257 more cells; + * NULL != issuance; + */ +static void reissuanceBlinding(frameItem* dst, const assetIssuance* issuance) { + if (writeBit(dst, REISSUANCE == issuance->type)) { + writeHash(dst, &issuance->blindingNonce); + } else { + skipBits(dst, 256); + } +} + +/* Write an optional 'contractHash' from an 'assetIssuance' to the 'dst' frame, advancing the cursor 257 cells. + * + * Precondition: '*dst' is a valid write frame for 257 more cells; + * NULL != issuance; + */ +static void newIssuanceContract(frameItem* dst, const assetIssuance* issuance) { + if (writeBit(dst, NEW_ISSUANCE == issuance->type)) { + writeHash(dst, &issuance->contractHash); + } else { + skipBits(dst, 256); + } +} + +/* Write an optional 'entropy' from an 'assetIssuance' to the 'dst' frame, advancing the cursor 257 cells. + * + * Precondition: '*dst' is a valid write frame for 257 more cells; + * NULL != issuance; + */ +static void reissuanceEntropy(frameItem* dst, const assetIssuance* issuance) { + if (writeBit(dst, REISSUANCE == issuance->type)) { + writeHash(dst, &issuance->entropy); + } else { + skipBits(dst, 256); + } +} + +/* Write an optional confidential asset amount from an 'assetIssuance' to the 'dst' frame, advancing the cursor 259 cells. + * + * Precondition: '*dst' is a valid write frame for 259 more cells; + * NULL != issuance; + */ +static void issuanceAssetAmt(frameItem* dst, const assetIssuance* issuance) { + if (writeBit(dst, NO_ISSUANCE != issuance->type)) { + amt(dst, &issuance->assetAmt); + } else { + skipBits(dst, 258); + } +} + +/* Write an optional confidential token amount from an 'assetIssuance' to the 'dst' frame, advancing the cursor. + * + * Precondition: '*dst' is a valid write frame for 259 more cells; + * NULL != issuance; + */ +static void issuanceTokenAmt(frameItem* dst, const assetIssuance* issuance) { + if (writeBit(dst, NO_ISSUANCE != issuance->type)) { + amt(dst, NEW_ISSUANCE == issuance->type ? &issuance->tokenAmt : &(confAmount){ .prefix = EXPLICIT, .explicit = 0}); + } else { + skipBits(dst, 258); + } +} + +static uint_fast32_t lockHeight(const transaction* tx) { + return !tx->isFinal && tx->lockTime < 500000000U ? tx->lockTime : 0; +} + +static uint_fast32_t lockTime(const transaction* tx) { + return !tx->isFinal && 500000000U <= tx->lockTime ? tx->lockTime : 0; +} + +static uint_fast16_t lockDistance(const transaction* tx) { + return 2 <= tx->version ? tx->lockDistance : 0; +} + +static uint_fast16_t lockDuration(const transaction* tx) { + return 2 <= tx->version ? (uint_fast32_t)tx->lockDuration : 0; +} + +/* version : ONE |- TWO^32 */ +bool version(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write32(dst, env->tx->version); + return true; +} + +/* lock_time : ONE |- TWO^32 */ +bool lock_time(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write32(dst, env->tx->lockTime); + return true; +} + +/* input_pegin : TWO^32 |- S (S TWO^256) */ +bool input_pegin(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + if (writeBit(dst, env->tx->input[i].isPegin)) { + writeHash(dst, &env->tx->input[i].pegin); + } else { + skipBits(dst, 256); + } + } else { + skipBits(dst, 257); + } + return true; +} + +/* input_prev_outpoint : TWO^32 |- S (TWO^256 * TWO^32) */ +bool input_prev_outpoint(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + prevOutpoint(dst, &env->tx->input[i].prevOutpoint); + } else { + skipBits(dst, 288); + } + return true; +} + +/* input_asset : TWO^32 |- S (Conf TWO^256) */ +bool input_asset(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + asset(dst, &env->tx->input[i].txo.asset); + } else { + skipBits(dst, 258); + } + return true; +} + +/* input_amount : TWO^32 |- S (Conf TWO^256, Conf TWO^64) */ +bool input_amount(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + asset(dst, &env->tx->input[i].txo.asset); + amt(dst, &env->tx->input[i].txo.amt); + } else { + skipBits(dst, 516); + } + return true; +} + +/* input_script_hash : TWO^32 |- S TWO^256 */ +bool input_script_hash(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + writeHash(dst, &env->tx->input[i].txo.scriptPubKey); + } else { + skipBits(dst, 256); + } + return true; +} + +/* input_sequence : TWO^32 |- S TWO^32 */ +bool input_sequence(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + write32(dst, env->tx->input[i].sequence); + } else { + skipBits(dst, 32); + } + return true; +} + +/* reissuance_blinding : TWO^32 |- S (S TWO^256) */ +bool reissuance_blinding(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + reissuanceBlinding(dst, &env->tx->input[i].issuance); + } else { + skipBits(dst, 257); + } + return true; +} + +/* new_issuance_contract : TWO^32 |- S (S TWO^256) */ +bool new_issuance_contract(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + newIssuanceContract(dst, &env->tx->input[i].issuance); + } else { + skipBits(dst, 257); + } + return true; +} + +/* reissuance_entropy : TWO^32 |- S (S TWO^256) */ +bool reissuance_entropy(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + reissuanceEntropy(dst, &env->tx->input[i].issuance); + } else { + skipBits(dst, 257); + } + return true; +} + +/* issuance_asset_amount : TWO^32 |- S (S (Conf TWO^64)) */ +bool issuance_asset_amount(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + issuanceAssetAmt(dst, &env->tx->input[i].issuance); + } else { + skipBits(dst, 259); + } + return true; +} + +/* issuance_token_amount : TWO^32 |- S (S (Conf TWO^64)) */ +bool issuance_token_amount(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + issuanceTokenAmt(dst, &env->tx->input[i].issuance); + } else { + skipBits(dst, 259); + } + return true; +} + +/* issuance_asset_proof : TWO^32 |- S TWO^256 */ +bool issuance_asset_proof(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + writeHash(dst, &env->tx->input[i].issuance.assetRangeProofHash); + } else { + skipBits(dst, 256); + } + return true; +} + +/* issuance_token_proof : TWO^32 |- S TWO^256 */ +bool issuance_token_proof(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + writeHash(dst, &env->tx->input[i].issuance.tokenRangeProofHash); + } else { + skipBits(dst, 256); + } + return true; +} + +/* input_annex_hash : TWO^32 |- S (S (TWO^256)) */ +bool input_annex_hash(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + if (writeBit(dst, env->tx->input[i].hasAnnex)) { + writeHash(dst, &env->tx->input[i].annexHash); + } else { + skipBits(dst, 256); + } + } else { + skipBits(dst, 257); + } + return true; +} + +/* input_script_sig_hash : TWO^32 |- (S (TWO^256) */ +bool input_script_sig_hash(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + writeHash(dst, &env->tx->input[i].scriptSigHash); + } else { + skipBits(dst, 256); + } + return true; +} + +/* output_asset : TWO^32 |- S (Conf TWO^256) */ +bool output_asset(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numOutputs)) { + asset(dst, &env->tx->output[i].asset); + } else { + skipBits(dst, 258); + } + return true; +} + +/* output_amount : TWO^32 |- S (Conf TWO^256, Conf TWO^64) */ +bool output_amount(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numOutputs)) { + asset(dst, &env->tx->output[i].asset); + amt(dst, &env->tx->output[i].amt); + } else { + skipBits(dst, 516); + } + return true; +} + +/* output_nonce : TWO^32 |- S (S (Conf TWO^256)) */ +bool output_nonce(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numOutputs)) { + nonce(dst, &env->tx->output[i].nonce); + } else { + skipBits(dst, 259); + } + return true; +} + +/* output_script_hash : TWO^32 |- S TWO^256 */ +bool output_script_hash(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numOutputs)) { + writeHash(dst, &env->tx->output[i].scriptPubKey); + } else { + skipBits(dst, 256); + } + return true; +} + +/* output_null_datum : TWO^32 * TWO^32 |- S (S (TWO^2 * TWO^256 + (TWO + TWO^4))) */ +bool output_null_datum(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numOutputs && env->tx->output[i].isNullData)) { + uint_fast32_t j = read32(&src); + if (writeBit(dst, j < env->tx->output[i].pnd.len)) { + if (writeBit(dst, OP_PUSHDATA4 < env->tx->output[i].pnd.op[j].code)) { + skipBits(dst, 2 + 256 - 5); + if (writeBit(dst, OP_1 <= env->tx->output[i].pnd.op[j].code)) { + switch (env->tx->output[i].pnd.op[j].code) { + case OP_1 : writeBit(dst, 0); writeBit(dst, 0); writeBit(dst, 0); writeBit(dst, 0); break; + case OP_2 : writeBit(dst, 0); writeBit(dst, 0); writeBit(dst, 0); writeBit(dst, 1); break; + case OP_3 : writeBit(dst, 0); writeBit(dst, 0); writeBit(dst, 1); writeBit(dst, 0); break; + case OP_4 : writeBit(dst, 0); writeBit(dst, 0); writeBit(dst, 1); writeBit(dst, 1); break; + case OP_5 : writeBit(dst, 0); writeBit(dst, 1); writeBit(dst, 0); writeBit(dst, 0); break; + case OP_6 : writeBit(dst, 0); writeBit(dst, 1); writeBit(dst, 0); writeBit(dst, 1); break; + case OP_7 : writeBit(dst, 0); writeBit(dst, 1); writeBit(dst, 1); writeBit(dst, 0); break; + case OP_8 : writeBit(dst, 0); writeBit(dst, 1); writeBit(dst, 1); writeBit(dst, 1); break; + case OP_9 : writeBit(dst, 1); writeBit(dst, 0); writeBit(dst, 0); writeBit(dst, 0); break; + case OP_10: writeBit(dst, 1); writeBit(dst, 0); writeBit(dst, 0); writeBit(dst, 1); break; + case OP_11: writeBit(dst, 1); writeBit(dst, 0); writeBit(dst, 1); writeBit(dst, 0); break; + case OP_12: writeBit(dst, 1); writeBit(dst, 0); writeBit(dst, 1); writeBit(dst, 1); break; + case OP_13: writeBit(dst, 1); writeBit(dst, 1); writeBit(dst, 0); writeBit(dst, 0); break; + case OP_14: writeBit(dst, 1); writeBit(dst, 1); writeBit(dst, 0); writeBit(dst, 1); break; + case OP_15: writeBit(dst, 1); writeBit(dst, 1); writeBit(dst, 1); writeBit(dst, 0); break; + case OP_16: writeBit(dst, 1); writeBit(dst, 1); writeBit(dst, 1); writeBit(dst, 1); break; + default: assert(false); UNREACHABLE; + } + } else { + assert(OP_RESERVED == env->tx->output[i].pnd.op[j].code || + OP_1NEGATE == env->tx->output[i].pnd.op[j].code); + skipBits(dst, 3); + writeBit(dst, OP_RESERVED == env->tx->output[i].pnd.op[j].code); + } + } else { + switch (env->tx->output[i].pnd.op[j].code) { + case OP_IMMEDIATE: writeBit(dst, 0); writeBit(dst, 0); break; + case OP_PUSHDATA: writeBit(dst, 0); writeBit(dst, 1); break; + case OP_PUSHDATA2: writeBit(dst, 1); writeBit(dst, 0); break; + case OP_PUSHDATA4: writeBit(dst, 1); writeBit(dst, 1); break; + default: assert(false); UNREACHABLE; + } + writeHash(dst, &env->tx->output[i].pnd.op[j].dataHash); + } + } else { + skipBits(dst, 1 + 2 + 256); + } + } else { + skipBits(dst, 1 + 1 + 2 + 256); + } + return true; +} + +/* output_surjection_proof : TWO^32 |- S TWO^256 */ +bool output_surjection_proof(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numOutputs)) { + writeHash(dst, &env->tx->output[i].surjectionProofHash); + } else { + skipBits(dst, 256); + } + return true; +} + +/* output_range_proof : TWO^32 |- S TWO^256 */ +bool output_range_proof(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numOutputs)) { + writeHash(dst, &env->tx->output[i].rangeProofHash); + } else { + skipBits(dst, 256); + } + return true; +} + +/* genesis_block_hash : ONE |- TWO^256 */ +bool genesis_block_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write32s(dst, env->genesisHash.s, 8); + return true; +} + +/* script_cmr : ONE |- TWO^256 */ +bool script_cmr(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write32s(dst, env->taproot->scriptCMR.s, 8); + return true; +} + +/* current_index : ONE |- TWO^32 */ +bool current_index(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write32(dst, env->ix); + return true; +} + +/* current_pegin : ONE |- S TWO^256 */ +bool current_pegin(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + if (writeBit(dst, env->tx->input[env->ix].isPegin)) { + writeHash(dst, &env->tx->input[env->ix].pegin); + } else { + skipBits(dst, 256); + } + return true; +} + +/* current_prev_outpoint : ONE |- TWO^256 * TWO^32 */ +bool current_prev_outpoint(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + prevOutpoint(dst, &env->tx->input[env->ix].prevOutpoint); + return true; +} + +/* current_asset : ONE |- Conf TWO^256 */ +bool current_asset(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + asset(dst, &env->tx->input[env->ix].txo.asset); + return true; +} + +/* current_amount : ONE |- (Conf TWO^256, Conf TWO^64) */ +bool current_amount(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + asset(dst, &env->tx->input[env->ix].txo.asset); + amt(dst, &env->tx->input[env->ix].txo.amt); + return true; +} + +/* current_script_hash : ONE |- TWO^256 */ +bool current_script_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + writeHash(dst, &env->tx->input[env->ix].txo.scriptPubKey); + return true; +} + +/* current_sequence : ONE |- TWO^32 */ +bool current_sequence(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + write32(dst, env->tx->input[env->ix].sequence); + return true; +} + +/* current_reissuance_blinding : ONE |- S (Conf TWO^256) */ +bool current_reissuance_blinding(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + reissuanceBlinding(dst, &env->tx->input[env->ix].issuance); + return true; +} + +/* current_new_issuance_contract : ONE |- S (Conf TWO^256) */ +bool current_new_issuance_contract(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + newIssuanceContract(dst, &env->tx->input[env->ix].issuance); + return true; +} + +/* current_reissuance_entropy : ONE |- S (Conf TWO^256) */ +bool current_reissuance_entropy(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + reissuanceEntropy(dst, &env->tx->input[env->ix].issuance); + return true; +} + +/* current_issuance_asset_amount : ONE |- S (Conf TWO^64) */ +bool current_issuance_asset_amount(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + issuanceAssetAmt(dst, &env->tx->input[env->ix].issuance); + return true; +} + +/* current_issuance_token_amount : ONE |- S (Conf TWO^64) */ +bool current_issuance_token_amount(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + issuanceTokenAmt(dst, &env->tx->input[env->ix].issuance); + return true; +} + +/* current_issuance_asset_proof : ONE |- TWO^256 */ +bool current_issuance_asset_proof(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + writeHash(dst, &env->tx->input[env->ix].issuance.assetRangeProofHash); + return true; +} + +/* current_issuance_token_proof : ONE |- TWO^256 */ +bool current_issuance_token_proof(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + writeHash(dst, &env->tx->input[env->ix].issuance.tokenRangeProofHash); + return true; +} + +/* current_script_sig_hash : ONE |- TWO^256 */ +bool current_script_sig_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + writeHash(dst, &env->tx->input[env->ix].scriptSigHash); + return true; +} + +/* current_annex_hash : ONE |- S (TWO^256) */ +bool current_annex_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + if (env->tx->numInputs <= env->ix) return false; + if (writeBit(dst, env->tx->input[env->ix].hasAnnex)) { + writeHash(dst, &env->tx->input[env->ix].annexHash); + } else { + skipBits(dst, 256); + } + return true; +} + +/* tapleaf_version : ONE |- TWO^8 */ +bool tapleaf_version(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write8(dst, env->taproot->leafVersion); + return true; +} + +/* tapbranch : TWO^8 |- S (TWO^256) */ +bool tapbranch(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast8_t i = read8(&src); + if (writeBit(dst, i < env->taproot->branchLen)) { + writeHash(dst, &env->taproot->branch[i]); + } else { + skipBits(dst, 256); + } + return true; +} + +/* internal_key : ONE |- TWO^256 */ +bool internal_key(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->taproot->internalKey); + return true; +} + +/* num_inputs : ONE |- TWO^32 */ +bool num_inputs(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write32(dst, env->tx->numInputs); + return true; +} + +/* num_outputs : ONE |- TWO^32 */ +bool num_outputs(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write32(dst, env->tx->numOutputs); + return true; +} + +/* tx_is_final : ONE |- TWO */ +bool tx_is_final(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeBit(dst, env->tx->isFinal); + return true; +} + +/* tx_lock_height : ONE |- TWO^32 */ +bool tx_lock_height(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write32(dst, lockHeight(env->tx)); + return true; +} + +/* tx_lock_time : ONE |- TWO^32 */ +bool tx_lock_time(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write32(dst, lockTime(env->tx)); + return true; +} + +/* tx_lock_distance : ONE |- TWO^16 */ +bool tx_lock_distance(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write16(dst, lockDistance(env->tx)); + return true; +} + +/* tx_lock_duration : ONE |- TWO^16 */ +bool tx_lock_duration(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + write16(dst, lockDuration(env->tx)); + return true; +} + +/* check_lock_height : TWO^32 |- ONE */ +bool check_lock_height(frameItem* dst, frameItem src, const txEnv* env) { + (void) dst; // dst is unused; + uint_fast32_t x = read32(&src); + return x <= lockHeight(env->tx); +} + +/* check_lock_time : TWO^32 |- ONE */ +bool check_lock_time(frameItem* dst, frameItem src, const txEnv* env) { + (void) dst; // dst is unused; + uint_fast32_t x = read32(&src); + return x <= lockTime(env->tx); +} + +/* check_lock_distance : TWO^16 |- ONE */ +bool check_lock_distance(frameItem* dst, frameItem src, const txEnv* env) { + (void) dst; // dst is unused; + uint_fast16_t x = read16(&src); + return x <= lockDistance(env->tx); +} + +/* check_lock_duration : TWO^16 |- ONE */ +bool check_lock_duration(frameItem* dst, frameItem src, const txEnv* env) { + (void) dst; // dst is unused; + uint_fast16_t x = read16(&src); + return x <= lockDuration(env->tx); +} + +/* calculate_issuance_entropy : TWO^256 * TWO^32 * TWO^256 |- TWO^256 */ +bool calculate_issuance_entropy(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused. + outpoint op; + sha256_midstate contract; + sha256_midstate result; + + read32s(op.txid.s, 8, &src); + op.ix = read32(&src); + read32s(contract.s, 8, &src); + + result = generateIssuanceEntropy(&op, &contract); + writeHash(dst, &result); + return true; +} + +/* calculate_asset : TWO^256 |- TWO^256 */ +bool calculate_asset(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused. + sha256_midstate entropy; + sha256_midstate result; + + read32s(entropy.s, 8, &src); + result = calculateAsset(&entropy); + + writeHash(dst, &result); + return true; +} + +/* calculate_explicit_token : TWO^256 |- TWO^256 */ +bool calculate_explicit_token(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused. + sha256_midstate entropy; + sha256_midstate result; + + read32s(entropy.s, 8, &src); + result = calculateToken(&entropy, EXPLICIT); + + writeHash(dst, &result); + return true; +} + +/* calculate_confidential_token : TWO^256 |- TWO^256 */ +bool calculate_confidential_token(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused. + sha256_midstate entropy; + sha256_midstate result; + + read32s(entropy.s, 8, &src); + result = calculateToken(&entropy, EVEN_Y /* ODD_Y would also work. */); + + writeHash(dst, &result); + return true; +} + +/* build_tapleaf_simplicity : TWO^256 |- TWO^256 */ +bool build_tapleaf_simplicity(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused. + sha256_midstate cmr; + readHash(&cmr, &src); + sha256_midstate result = make_tapleaf(0xbe, &cmr); + writeHash(dst, &result); + return true; +} + +/* build_tapbranch : TWO^256 * TWO^256 |- TWO^256 */ +bool build_tapbranch(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused. + sha256_midstate a, b; + readHash(&a, &src); + readHash(&b, &src); + + sha256_midstate result = make_tapbranch(&a, &b); + writeHash(dst, &result); + return true; +} + +/* outpoint_hash : CTX8 * S TWO^256 * TWO^256 * TWO^32 |- CTX8 */ +bool outpoint_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused. + sha256_midstate midstate; + unsigned char buf[36]; + sha256_context ctx = {.output = midstate.s}; + + /* Read a SHA-256 context. */ + if (!read_sha256_context(&ctx, &src)) return false; + + /* Read an optional pegin parent chain hash. */ + if (readBit(&src)) { + /* Read a pegin parent chain hash. */ + read8s(buf, 32, &src); + sha256_uchar(&ctx, 0x01); + sha256_uchars(&ctx, buf, 32); + } else { + /* No pegin. */ + sha256_uchar(&ctx, 0x00); + forwardBits(&src, 256); + } + + /* Read an outpoint (hash and index). */ + read8s(buf, 36, &src); + sha256_uchars(&ctx, buf, 36); + + return write_sha256_context(dst, &ctx); +} + +/* asset_amount_hash : CTX8 * Conf TWO^256 * Conf TWO^64 |- CTX8 */ +bool asset_amount_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused. + sha256_midstate midstate; + unsigned char buf[32]; + sha256_context ctx = {.output = midstate.s}; + + /* Read a SHA-256 context. */ + if (!read_sha256_context(&ctx, &src)) return false; + + /* Read an asset id prefix. (2 bits) */ + if (readBit(&src)) { + /* Read an explicit asset id prefix. (1 bit) */ + forwardBits(&src, 1); + sha256_uchar(&ctx, 0x01); + } else { + /* Read an confidential asset id prefix. (1 bit) */ + if (readBit(&src)) { + sha256_uchar(&ctx, 0x0b); + } else { + sha256_uchar(&ctx, 0x0a); + } + } + /* Read an asset id body (both confidential and explicit asset bodies are the same size). (256 bits) */ + read8s(buf, 32, &src); + sha256_uchars(&ctx, buf, 32); + + /* Read an amount. (258 bits) */ + if (readBit(&src)) { + /* Read an explicit amount. (257 bits) */ + sha256_uchar(&ctx, 0x01); + forwardBits(&src, 257-64); + read8s(buf, 8, &src); + sha256_uchars(&ctx, buf, 8); + } else { + /* Read an confidential amount. (257 bits) */ + if (readBit(&src)) { + sha256_uchar(&ctx, 0x09); + } else { + sha256_uchar(&ctx, 0x08); + } + read8s(buf, 32, &src); + sha256_uchars(&ctx, buf, 32); + } + + return write_sha256_context(dst, &ctx); +} + +/* nonce_hash : CTX8 * S (Conf TWO^256) |- CTX8 */ +bool nonce_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused. + sha256_midstate midstate; + unsigned char buf[32]; + sha256_context ctx = {.output = midstate.s}; + + /* Read a SHA-256 context. */ + if (!read_sha256_context(&ctx, &src)) return false; + + /* Read an optional nonce. (259 bits) */ + if (readBit(&src)) { + /* Read a nonce prefix. (2 bits) */ + if (readBit(&src)) { + /* Read an explicit none prefix. (1 bit) */ + forwardBits(&src, 1); + sha256_uchar(&ctx, 0x01); + } else { + /* Read a confidential none prefix. (1 bit) */ + if (readBit(&src)) { + sha256_uchar(&ctx, 0x03); + } else { + sha256_uchar(&ctx, 0x02); + } + } + /* Read a nonce id body (both confidential and explicit nonce bodies are the same size). (256 bits) */ + read8s(buf, 32, &src); + sha256_uchars(&ctx, buf, 32); + } else { + sha256_uchar(&ctx, 0x00); + } + + return write_sha256_context(dst, &ctx); +} + +/* annex_hash : CTX8 * S TWO^256 |- CTX8 */ +bool annex_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) env; // env is unused. + sha256_midstate midstate; + unsigned char buf[32]; + sha256_context ctx = {.output = midstate.s}; + + /* Read a SHA-256 context. */ + if (!read_sha256_context(&ctx, &src)) return false; + + /* Read an optional hash. (257 bits) */ + if (readBit(&src)) { + /* Read a hash. (256 bits) */ + read8s(buf, 32, &src); + sha256_uchar(&ctx, 0x01); + sha256_uchars(&ctx, buf, 32); + } else { + /* No hash. */ + sha256_uchar(&ctx, 0x00); + } + + return write_sha256_context(dst, &ctx); +} + +/* issuance : TWO^256 |- S (S TWO) */ +bool issuance(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + const sigInput* input = &env->tx->input[i]; + if (writeBit(dst, NO_ISSUANCE != input->issuance.type)) { + writeBit(dst, REISSUANCE == input->issuance.type); + } else { + skipBits(dst, 1); + } + } else { + skipBits(dst, 2); + } + return true; +} + +/* issuance_entropy : TWO^256 |- S (S TWO^256) */ +bool issuance_entropy(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + const sigInput* input = &env->tx->input[i]; + if (writeBit(dst, NO_ISSUANCE != input->issuance.type)) { + writeHash(dst, &input->issuance.entropy); + } else { + skipBits(dst, 256); + } + } else { + skipBits(dst, 257); + } + return true; +} + +/* issuance_asset : TWO^256 |- S (S TWO^256) */ +bool issuance_asset(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + const sigInput* input = &env->tx->input[i]; + if (writeBit(dst, NO_ISSUANCE != input->issuance.type)) { + writeHash(dst, &input->issuance.assetId); + } else { + skipBits(dst, 256); + } + } else { + skipBits(dst, 257); + } + return true; +} + +/* issuance_token : TWO^256 |- S (S TWO^256) */ +bool issuance_token(frameItem* dst, frameItem src, const txEnv* env) { + uint_fast32_t i = read32(&src); + if (writeBit(dst, i < env->tx->numInputs)) { + const sigInput* input = &env->tx->input[i]; + if (writeBit(dst, NO_ISSUANCE != input->issuance.type)) { + writeHash(dst, &input->issuance.tokenId); + } else { + skipBits(dst, 256); + } + } else { + skipBits(dst, 257); + } + return true; +} + +/* output_amounts_hash : ONE |- TWO^256 */ +bool output_amounts_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->outputAssetAmountsHash); + return true; +} + +/* output_nonces_hash : ONE |- TWO^256 */ +bool output_nonces_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->outputNoncesHash); + return true; +} + +/* output_scripts_hash : ONE |- TWO^256 */ +bool output_scripts_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->outputScriptsHash); + return true; +} + +/* output_range_proofs_hash : ONE |- TWO^256 */ +bool output_range_proofs_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->outputRangeProofsHash); + return true; +} + +/* output_surjection_proofs_hash : ONE |- TWO^256 */ +bool output_surjection_proofs_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->outputSurjectionProofsHash); + return true; +} + +/* outputs_hash : ONE |- TWO^256 */ +bool outputs_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->outputsHash); + return true; +} + +/* input_outpoints_hash : ONE |- TWO^256 */ +bool input_outpoints_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->inputOutpointsHash); + return true; +} + +/* input_amounts_hash : ONE |- TWO^256 */ +bool input_amounts_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->inputAssetAmountsHash); + return true; +} + +/* input_scripts_hash : ONE |- TWO^256 */ +bool input_scripts_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->inputScriptsHash); + return true; +} + +/* input_utxos_hash : ONE |- TWO^256 */ +bool input_utxos_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->inputUTXOsHash); + return true; +} + +/* input_sequences_hash : ONE |- TWO^256 */ +bool input_sequences_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->inputSequencesHash); + return true; +} + +/* input_annexes_hash : ONE |- TWO^256 */ +bool input_annexes_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->inputAnnexesHash); + return true; +} + +/* input_script_sigs_hash : ONE |- TWO^256 */ +bool input_script_sigs_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->inputScriptSigsHash); + return true; +} + +/* inputs_hash : ONE |- TWO^256 */ +bool inputs_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->inputsHash); + return true; +} + +/* issuance_asset_amounts_hash : ONE |- TWO^256 */ +bool issuance_asset_amounts_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->issuanceAssetAmountsHash); + return true; +} + +/* issuance_token_amounts_hash : ONE |- TWO^256 */ +bool issuance_token_amounts_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->issuanceTokenAmountsHash); + return true; +} + +/* issuance_range_proofs_hash : ONE |- TWO^256 */ +bool issuance_range_proofs_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->issuanceRangeProofsHash); + return true; +} + +/* issuance_blinding_entropy_hash : ONE |- TWO^256 */ +bool issuance_blinding_entropy_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->issuanceBlindingEntropyHash); + return true; +} + +/* issuances_hash : ONE |- TWO^256 */ +bool issuances_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->issuancesHash); + return true; +} + +/* tx_hash : ONE |- TWO^256 */ +bool tx_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->tx->txHash); + return true; +} + +/* tapleaf_hash : ONE |- TWO^256 */ +bool tapleaf_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->taproot->tapLeafHash); + return true; +} + +/* tapbranch_hash : ONE |- TWO^256 */ +bool tapbranch_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->taproot->tapbranchHash); + return true; +} + +/* tap_env_hash : ONE |- TWO^256 */ +bool tap_env_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->taproot->tapEnvHash); + return true; +} + +/* sig_all_hash : ONE |- TWO^256 */ +bool sig_all_hash(frameItem* dst, frameItem src, const txEnv* env) { + (void) src; // src is unused; + writeHash(dst, &env->sigAllHash); + return true; +} diff --git a/primitive/elements/jets.h b/primitive/elements/jets.h new file mode 100644 index 00000000000..5241f860f03 --- /dev/null +++ b/primitive/elements/jets.h @@ -0,0 +1,106 @@ +/* This module defines primitives and jets that are specific to the Elements application for Simplicity. + */ +#ifndef SIMPLICITY_PRIMITIVE_ELEMENTS_JETS_H +#define SIMPLICITY_PRIMITIVE_ELEMENTS_JETS_H + +#include "../../jets.h" + +/* Primitives for the Elements application of Simplicity. */ +bool version(frameItem* dst, frameItem src, const txEnv* env); +bool lock_time(frameItem* dst, frameItem src, const txEnv* env); +bool input_pegin(frameItem* dst, frameItem src, const txEnv* env); +bool input_prev_outpoint(frameItem* dst, frameItem src, const txEnv* env); +bool input_asset(frameItem* dst, frameItem src, const txEnv* env); +bool input_amount(frameItem* dst, frameItem src, const txEnv* env); +bool input_script_hash(frameItem* dst, frameItem src, const txEnv* env); +bool input_sequence(frameItem* dst, frameItem src, const txEnv* env); +bool input_annex_hash(frameItem* dst, frameItem src, const txEnv* env); +bool input_script_sig_hash(frameItem* dst, frameItem src, const txEnv* env); +bool reissuance_blinding(frameItem* dst, frameItem src, const txEnv* env); +bool new_issuance_contract(frameItem* dst, frameItem src, const txEnv* env); +bool reissuance_entropy(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_asset_amount(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_token_amount(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_asset_proof(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_token_proof(frameItem* dst, frameItem src, const txEnv* env); +bool output_asset(frameItem* dst, frameItem src, const txEnv* env); +bool output_amount(frameItem* dst, frameItem src, const txEnv* env); +bool output_nonce(frameItem* dst, frameItem src, const txEnv* env); +bool output_script_hash(frameItem* dst, frameItem src, const txEnv* env); +bool output_null_datum(frameItem* dst, frameItem src, const txEnv* env); +bool output_surjection_proof(frameItem* dst, frameItem src, const txEnv* env); +bool output_range_proof(frameItem* dst, frameItem src, const txEnv* env); +bool genesis_block_hash(frameItem* dst, frameItem src, const txEnv* env); +bool script_cmr(frameItem* dst, frameItem src, const txEnv* env); +bool current_index(frameItem* dst, frameItem src, const txEnv* env); +bool current_pegin(frameItem* dst, frameItem src, const txEnv* env); +bool current_prev_outpoint(frameItem* dst, frameItem src, const txEnv* env); +bool current_asset(frameItem* dst, frameItem src, const txEnv* env); +bool current_amount(frameItem* dst, frameItem src, const txEnv* env); +bool current_script_hash(frameItem* dst, frameItem src, const txEnv* env); +bool current_sequence(frameItem* dst, frameItem src, const txEnv* env); +bool current_reissuance_blinding(frameItem* dst, frameItem src, const txEnv* env); +bool current_new_issuance_contract(frameItem* dst, frameItem src, const txEnv* env); +bool current_reissuance_entropy(frameItem* dst, frameItem src, const txEnv* env); +bool current_issuance_asset_amount(frameItem* dst, frameItem src, const txEnv* env); +bool current_issuance_token_amount(frameItem* dst, frameItem src, const txEnv* env); +bool current_issuance_asset_proof(frameItem* dst, frameItem src, const txEnv* env); +bool current_issuance_token_proof(frameItem* dst, frameItem src, const txEnv* env); +bool current_annex_hash(frameItem* dst, frameItem src, const txEnv* env); +bool current_script_sig_hash(frameItem* dst, frameItem src, const txEnv* env); +bool tapleaf_version(frameItem* dst, frameItem src, const txEnv* env); +bool tapbranch(frameItem* dst, frameItem src, const txEnv* env); +bool internal_key(frameItem* dst, frameItem src, const txEnv* env); +bool num_inputs(frameItem* dst, frameItem src, const txEnv* env); +bool num_outputs(frameItem* dst, frameItem src, const txEnv* env); + +/* Jets for the Elements application of Simplicity. */ +bool tx_is_final(frameItem* dst, frameItem src, const txEnv* env); +bool tx_lock_height(frameItem* dst, frameItem src, const txEnv* env); +bool tx_lock_time(frameItem* dst, frameItem src, const txEnv* env); +bool tx_lock_distance(frameItem* dst, frameItem src, const txEnv* env); +bool tx_lock_duration(frameItem* dst, frameItem src, const txEnv* env); +bool check_lock_height(frameItem* dst, frameItem src, const txEnv* env); +bool check_lock_time(frameItem* dst, frameItem src, const txEnv* env); +bool check_lock_distance(frameItem* dst, frameItem src, const txEnv* env); +bool check_lock_duration(frameItem* dst, frameItem src, const txEnv* env); +bool calculate_issuance_entropy(frameItem* dst, frameItem src, const txEnv* env); +bool calculate_asset(frameItem* dst, frameItem src, const txEnv* env); +bool calculate_explicit_token(frameItem* dst, frameItem src, const txEnv* env); +bool calculate_confidential_token(frameItem* dst, frameItem src, const txEnv* env); +bool build_tapleaf_simplicity(frameItem* dst, frameItem src, const txEnv* env); +bool build_tapbranch(frameItem* dst, frameItem src, const txEnv* env); +bool outpoint_hash(frameItem* dst, frameItem src, const txEnv* env); +bool asset_amount_hash(frameItem* dst, frameItem src, const txEnv* env); +bool nonce_hash(frameItem* dst, frameItem src, const txEnv* env); +bool annex_hash(frameItem* dst, frameItem src, const txEnv* env); +bool issuance(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_entropy(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_asset(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_token(frameItem* dst, frameItem src, const txEnv* env); +bool output_amounts_hash(frameItem* dst, frameItem src, const txEnv* env); +bool output_nonces_hash(frameItem* dst, frameItem src, const txEnv* env); +bool output_scripts_hash(frameItem* dst, frameItem src, const txEnv* env); +bool output_range_proofs_hash(frameItem* dst, frameItem src, const txEnv* env); +bool output_surjection_proofs_hash(frameItem* dst, frameItem src, const txEnv* env); +bool outputs_hash(frameItem* dst, frameItem src, const txEnv* env); +bool input_outpoints_hash(frameItem* dst, frameItem src, const txEnv* env); +bool input_amounts_hash(frameItem* dst, frameItem src, const txEnv* env); +bool input_scripts_hash(frameItem* dst, frameItem src, const txEnv* env); +bool input_utxos_hash(frameItem* dst, frameItem src, const txEnv* env); +bool input_sequences_hash(frameItem* dst, frameItem src, const txEnv* env); +bool input_annexes_hash(frameItem* dst, frameItem src, const txEnv* env); +bool input_script_sigs_hash(frameItem* dst, frameItem src, const txEnv* env); +bool inputs_hash(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_asset_amounts_hash(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_token_amounts_hash(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_range_proofs_hash(frameItem* dst, frameItem src, const txEnv* env); +bool issuance_blinding_entropy_hash(frameItem* dst, frameItem src, const txEnv* env); +bool issuances_hash(frameItem* dst, frameItem src, const txEnv* env); +bool tx_hash(frameItem* dst, frameItem src, const txEnv* env); +bool tapleaf_hash(frameItem* dst, frameItem src, const txEnv* env); +bool tapbranch_hash(frameItem* dst, frameItem src, const txEnv* env); +bool tap_env_hash(frameItem* dst, frameItem src, const txEnv* env); +bool sig_all_hash(frameItem* dst, frameItem src, const txEnv* env); + +#endif diff --git a/primitive/elements/ops.c b/primitive/elements/ops.c new file mode 100644 index 00000000000..d9651e001e1 --- /dev/null +++ b/primitive/elements/ops.c @@ -0,0 +1,123 @@ +#include "ops.h" + +/* Compute an Element's entropy value from a prevoutpoint and a contract hash. + * A reimplementation of GenerateAssetEntropy from Element's 'issuance.cpp'. + * + * Precondition: NULL != op; + * NULL != contract; + */ +sha256_midstate generateIssuanceEntropy(const outpoint* op, const sha256_midstate* contract) { + uint32_t block[16]; + unsigned char buf[32]; + sha256_midstate result; + + /* First hash the outpoint data. */ + { + sha256_context ctx = sha256_init(result.s); + sha256_fromMidstate(buf, op->txid.s); + sha256_uchars(&ctx, buf, 32); + sha256_u32le(&ctx, op->ix); + sha256_finalize(&ctx); + } + /* Fill in the first half of the block with the double hashed outpoint data. */ + { + sha256_context ctx = sha256_init(&block[0]); + sha256_fromMidstate(buf, result.s); + sha256_uchars(&ctx, buf, 32); + sha256_finalize(&ctx); + } + + memcpy(&block[8], contract->s, sizeof(contract->s)); + sha256_iv(result.s); + sha256_compression(result.s, block); + + return result; +} + +/* Compute an Element's issuance Asset ID value from an entropy value. + * A reimplementation of CalculateAsset from Element's 'issuance.cpp'. + * + * Precondition: NULL != entropy; + */ +sha256_midstate calculateAsset(const sha256_midstate* entropy) { + uint32_t block[16] = {0}; + sha256_midstate result; + + memcpy(&block[0], entropy->s, sizeof(entropy->s)); + sha256_iv(result.s); + sha256_compression(result.s, block); + + return result; +} + +/* Compute an Element's issuance Token ID value from an entropy value and an amount prefix. + * A reimplementation of CalculateReissuanceToken from Element's 'issuance.cpp'. + * + * Precondition: NULL != entropy; + */ +sha256_midstate calculateToken(const sha256_midstate* entropy, confPrefix prefix) { + uint32_t block[16] = {0}; + sha256_midstate result; + + memcpy(&block[0], entropy->s, sizeof(entropy->s)); + block[8] = is_confidential(prefix) ? 0x02000000 : 0x01000000; + sha256_iv(result.s); + sha256_compression(result.s, block); + + return result; +} + +/* Compute an Element's tapleaf hash from a tapleaf version and a 256-bit script value. + * A reimplementation of ComputeTapleafHash from Element's 'interpreter.cpp'. + * Only 256-bit script values are supported as that is the size used for Simplicity CMRs. + * + * Precondition: NULL != cmr; + */ +sha256_midstate make_tapleaf(unsigned char version, const sha256_midstate* cmr) { + sha256_midstate result; + sha256_midstate tapleafTag; + { + static unsigned char tagName[] = "TapLeaf/elements"; + sha256_context ctx = sha256_init(tapleafTag.s); + sha256_uchars(&ctx, tagName, sizeof(tagName) - 1); + sha256_finalize(&ctx); + } + sha256_context ctx = sha256_init(result.s); + sha256_hash(&ctx, &tapleafTag); + sha256_hash(&ctx, &tapleafTag); + sha256_uchar(&ctx, version); + sha256_uchar(&ctx, 32); + sha256_hash(&ctx, cmr); + sha256_finalize(&ctx); + + return result; +} + +/* Compute an Element's tapbrach hash from two branches. + * + * Precondition: NULL != a; + * NULL != b; + */ +sha256_midstate make_tapbranch(const sha256_midstate* a, const sha256_midstate* b) { + sha256_midstate result; + sha256_midstate tapbranchTag; + { + static unsigned char tagName[] = "TapBranch/elements"; + sha256_context ctx = sha256_init(tapbranchTag.s); + sha256_uchars(&ctx, tagName, sizeof(tagName) - 1); + sha256_finalize(&ctx); + } + sha256_context ctx = sha256_init(result.s); + sha256_hash(&ctx, &tapbranchTag); + sha256_hash(&ctx, &tapbranchTag); + if (sha256_cmp_be(a, b) < 0) { + sha256_hash(&ctx, a); + sha256_hash(&ctx, b); + } else { + sha256_hash(&ctx, b); + sha256_hash(&ctx, a); + } + sha256_finalize(&ctx); + + return result; +} diff --git a/primitive/elements/ops.h b/primitive/elements/ops.h new file mode 100644 index 00000000000..89c7fb8ab43 --- /dev/null +++ b/primitive/elements/ops.h @@ -0,0 +1,46 @@ +/* This module defines operations used in the construction the environment ('txEnv') and some jets. + */ +#ifndef SIMPLICITY_PRIMITIVE_ELEMENTS_OPS_H +#define SIMPLICITY_PRIMITIVE_ELEMENTS_OPS_H + +#include "../../sha256.h" +#include "primitive.h" + +/* Compute an Element's entropy value from a prevoutpoint and a contract hash. + * A reimplementation of GenerateAssetEntropy from Element's 'issuance.cpp'. + * + * Precondition: NULL != op; + * NULL != contract; + */ +sha256_midstate generateIssuanceEntropy(const outpoint* op, const sha256_midstate* contract); + +/* Compute an Element's issuance Asset ID value from an entropy value. + * A reimplementation of CalculateAsset from Element's 'issuance.cpp'. + * + * Precondition: NULL != entropy; + */ +sha256_midstate calculateAsset(const sha256_midstate* entropy); + +/* Compute an Element's issuance Token ID value from an entropy value and an amount prefix. + * A reimplementation of CalculateReissuanceToken from Element's 'issuance.cpp'. + * + * Precondition: NULL != entropy; + */ +sha256_midstate calculateToken(const sha256_midstate* entropy, confPrefix prefix); + +/* Compute an Element's tapleaf hash from a tapleaf version and a 256-bit script value. + * A reimplementation of ComputeTapleafHash from Element's 'interpreter.cpp'. + * Only 256-bit script values are supported as that is the size used for Simplicity CMRs. + * + * Precondition: NULL != cmr; + */ +sha256_midstate make_tapleaf(unsigned char version, const sha256_midstate* cmr); + +/* Compute an Element's tapbrach hash from two branches. + * + * Precondition: NULL != a; + * NULL != b; + */ +sha256_midstate make_tapbranch(const sha256_midstate* a, const sha256_midstate* b); + +#endif diff --git a/primitive/elements/primitive.c b/primitive/elements/primitive.c new file mode 100644 index 00000000000..60a5052f871 --- /dev/null +++ b/primitive/elements/primitive.c @@ -0,0 +1,443 @@ +/* This module implements the 'primitive.h' interface for the Elements application of Simplicity. + */ +#include "primitive.h" + +#include +#include "jets.h" +#include "../../callonce.h" +#include "../../prefix.h" +#include "../../primitive.h" +#include "../../tag.h" +#include "../../unreachable.h" + +/* An enumeration of all the types we need to construct to specify the input and output types of all jets created by 'decodeJet'. */ +enum TypeNamesForJets { +#include "primitiveEnumTy.inc" + NumberOfTypeNames +}; + +/* Allocate a fresh set of unification variables bound to at least all the types necessary + * for all the jets that can be created by 'decodeJet', and also the type 'TWO^256', + * and also allocate space for 'extra_var_len' many unification variables. + * Return the number of non-trivial bindings created. + * + * However, if malloc fails, then return 0. + * + * Precondition: NULL != bound_var; + * NULL != word256_ix; + * NULL != extra_var_start; + * + * Postcondition: Either '*bound_var == NULL' and the function returns 0 + * or 'unification_var (*bound_var)[*extra_var_start + extra_var_len]' is an array of unification variables + * such that for any 'jet : A |- B' there is some 'i < *extra_var_start' and 'j < *extra_var_start' such that + * '(*bound_var)[i]' is bound to 'A' and '(*bound_var)[j]' is bound to 'B' + * and, '*word256_ix < *extra_var_start' and '(*bound_var)[*word256_ix]' is bound the type 'TWO^256' + */ +size_t mallocBoundVars(unification_var** bound_var, size_t* word256_ix, size_t* extra_var_start, size_t extra_var_len) { + _Static_assert(NumberOfTypeNames <= SIZE_MAX / sizeof(unification_var), "NumberOfTypeNames is too large"); + *bound_var = extra_var_len <= SIZE_MAX / sizeof(unification_var) - NumberOfTypeNames + ? malloc((NumberOfTypeNames + extra_var_len) * sizeof(unification_var)) + : NULL; + if (!(*bound_var)) return 0; +#include "primitiveInitTy.inc" + *word256_ix = ty_w256; + *extra_var_start = NumberOfTypeNames; + + /* 'ty_u' is a trivial binding, so we made 'NumberOfTypeNames - 1' non-trivial bindings. */ + return NumberOfTypeNames - 1; +}; + +/* An enumeration of the names of Elements specific jets and primitives. */ +typedef enum jetName +{ +#include "primitiveEnumJet.inc" + NUMBER_OF_JET_NAMES +} jetName; + +/* Decode an Elements specific jet name from 'stream' into 'result'. + * All jets begin with a bit prefix of '1' which needs to have already been consumed from the 'stream'. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' if the stream's prefix doesn't match any valid code for a jet. + * Returns 'SIMPLICITY_ERR_BITSTRING_EOF' if not enough bits are available in the 'stream'. + * In the above error cases, 'result' may be modified. + * Returns 0 if successful. + * + * Precondition: NULL != result + * NULL != stream + */ +static int32_t decodePrimitive(jetName* result, bitstream* stream) { + int32_t bit = read1Bit(stream); + if (bit < 0) return bit; + if (!bit) { + /* Core jets */ + int32_t code = decodeUptoMaxInt(stream); + if (code < 0) return code; + + switch (code) { + case 1: /* Word jets chapter */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: /* Verify */ + *result = VERIFY; return 0; + case 2: /* Low */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 5: *result = LOW_32; return 0; + } + break; + case 13: /* Eq */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 5: *result = EQ_32; return 0; + case 8: *result = EQ_256; return 0; + } + break; + } + break; + case 2: /* Arith jets chapter */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + + switch (code) { + case 1: /* One */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 5: *result = ONE_32; return 0; + } + break; + case 2: /* FullAdd */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 5: *result = FULL_ADD_32; return 0; + } + break; + case 3: /* Add */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 5: *result = ADD_32; return 0; + } + break; + case 7: /* FullSubtract */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 5: *result = FULL_SUBTRACT_32; return 0; + } + break; + case 8: /* Subtract */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 5: *result = SUBTRACT_32; return 0; + } + break; + case 12: /* FullMultiply */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 5: *result = FULL_MULTIPLY_32; return 0; + } + break; + case 13: /* Multiply */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 5: *result = MULTIPLY_32; return 0; + } + break; + case 16: /* Le */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 5: *result = LE_32; return 0; + } + break; + } + break; + case 3: /* Hash jets chapter */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: /* SHA-256 section */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = SHA_256_BLOCK; return 0; + case 2: *result = SHA_256_IV; return 0; + case 3: /* SHA-256-CTX-8-ADD-n subsection */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = SHA_256_CTX_8_ADD_1; return 0; + case 2: *result = SHA_256_CTX_8_ADD_2; return 0; + case 3: *result = SHA_256_CTX_8_ADD_4; return 0; + case 4: *result = SHA_256_CTX_8_ADD_8; return 0; + case 5: *result = SHA_256_CTX_8_ADD_16; return 0; + case 6: *result = SHA_256_CTX_8_ADD_32; return 0; + case 7: *result = SHA_256_CTX_8_ADD_64; return 0; + case 8: *result = SHA_256_CTX_8_ADD_128; return 0; + case 9: *result = SHA_256_CTX_8_ADD_256; return 0; + case 10: *result = SHA_256_CTX_8_ADD_512; return 0; + } + break; + case 4: *result = SHA_256_CTX_8_ADD_BUFFER_511; return 0; + case 5: *result = SHA_256_CTX_8_FINALIZE; return 0; + case 6: *result = SHA_256_CTX_8_INIT; return 0; + } + break; + } + break; + case 4: /* Secp256k1 jets chapter */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: /* point-verify */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = POINT_VERIFY_1; return 0; + } + break; + case 2: *result = DECOMPRESS; return 0; + case 3: /* linear-verify */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = LINEAR_VERIFY_1; return 0; + } + break; + case 4: /* linear-combination */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = LINEAR_COMBINATION_1; return 0; + } + break; + case 5: *result = SCALE; return 0; + case 6: *result = GENERATE; return 0; + case 7: *result = GEJ_INFINITY; return 0; + case 8: *result = GEJ_NORMALIZE; return 0; + case 9: *result = GEJ_NEGATE; return 0; + case 10: *result = GE_NEGATE; return 0; + case 11: *result = GEJ_DOUBLE; return 0; + case 12: *result = GEJ_ADD; return 0; + case 13: *result = GEJ_GE_ADD_EX; return 0; + case 14: *result = GEJ_GE_ADD; return 0; + case 15: *result = GEJ_RESCALE; return 0; + case 16: *result = GEJ_IS_INFINITY; return 0; + + case 19: *result = GEJ_X_EQUIV; return 0; + case 20: *result = GEJ_Y_IS_ODD; return 0; + case 21: *result = GEJ_IS_ON_CURVE; return 0; + case 22: *result = GE_IS_ON_CURVE; return 0; + case 23: *result = SCALAR_NORMALIZE; return 0; + case 24: *result = SCALAR_NEGATE; return 0; + case 25: *result = SCALAR_ADD; return 0; + case 26: *result = SCALAR_SQUARE; return 0; + case 27: *result = SCALAR_MULTIPLY; return 0; + case 28: *result = SCALAR_MULTIPLY_LAMBDA; return 0; + case 29: *result = SCALAR_INVERT; return 0; + case 30: *result = SCALAR_IS_ZERO; return 0; + + case 35: *result = FE_NORMALIZE; return 0; + case 36: *result = FE_NEGATE; return 0; + case 37: *result = FE_ADD; return 0; + case 38: *result = FE_SQUARE; return 0; + case 39: *result = FE_MULTIPLY; return 0; + case 40: *result = FE_MULTIPLY_BETA; return 0; + case 41: *result = FE_INVERT; return 0; + case 42: *result = FE_SQUARE_ROOT; return 0; + case 43: *result = FE_IS_ZERO; return 0; + case 44: *result = FE_IS_ODD; return 0; + } + break; + case 5: /* Signature jets chapter */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = CHECK_SIG_VERIFY; return 0; + case 2: *result = BIP_0340_VERIFY; return 0; + } + break; + case 7: /* Bitcoin jets chapter */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = PARSE_LOCK; return 0; + case 2: *result = PARSE_SEQUENCE; return 0; + } + break; + } + return SIMPLICITY_ERR_DATA_OUT_OF_RANGE; + } else { + /* Elements jets */ + int32_t code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: /* SigHash jets chapter */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = SIG_ALL_HASH; return 0; + case 2: *result = TX_HASH; return 0; + case 3: *result = TAP_ENV_HASH; return 0; + case 4: *result = INPUTS_HASH; return 0; + case 5: *result = OUTPUTS_HASH; return 0; + case 6: *result = ISSUANCES_HASH; return 0; + case 7: *result = INPUT_UTXOS_HASH; return 0; + case 8: *result = OUTPUT_AMOUNTS_HASH; return 0; + case 9: *result = OUTPUT_SCRIPTS_HASH; return 0; + case 10: *result = OUTPUT_NONCES_HASH; return 0; + case 11: *result = OUTPUT_RANGE_PROOFS_HASH; return 0; + case 12: *result = OUTPUT_SURJECTION_PROOFS_HASH; return 0; + case 13: *result = INPUT_OUTPOINTS_HASH; return 0; + case 14: *result = INPUT_SEQUENCES_HASH; return 0; + case 15: *result = INPUT_ANNEXES_HASH; return 0; + case 16: *result = INPUT_SCRIPT_SIGS_HASH; return 0; + case 17: *result = ISSUANCE_ASSET_AMOUNTS_HASH; return 0; + case 18: *result = ISSUANCE_TOKEN_AMOUNTS_HASH; return 0; + case 19: *result = ISSUANCE_RANGE_PROOFS_HASH; return 0; + case 20: *result = ISSUANCE_BLINDING_ENTROPY_HASH; return 0; + case 21: *result = INPUT_AMOUNTS_HASH; return 0; + case 22: *result = INPUT_SCRIPTS_HASH; return 0; + case 23: *result = TAPLEAF_HASH; return 0; + case 24: *result = TAPBRANCH_HASH; return 0; + case 25: *result = OUTPOINT_HASH; return 0; + case 26: *result = ASSET_AMOUNT_HASH; return 0; + case 27: *result = NONCE_HASH; return 0; + case 28: *result = ANNEX_HASH; return 0; + case 29: *result = BUILD_TAPLEAF_SIMPLICITY; return 0; + case 30: *result = BUILD_TAPBRANCH; return 0; + } + break; + case 2: /* Timelock jets chapter */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = CHECK_LOCK_HEIGHT; return 0; + case 2: *result = CHECK_LOCK_TIME; return 0; + case 3: *result = CHECK_LOCK_DISTANCE; return 0; + case 4: *result = CHECK_LOCK_DURATION; return 0; + case 5: *result = TX_LOCK_HEIGHT; return 0; + case 6: *result = TX_LOCK_TIME; return 0; + case 7: *result = TX_LOCK_DISTANCE; return 0; + case 8: *result = TX_LOCK_DURATION; return 0; + case 9: *result = TX_IS_FINAL; return 0; + } + break; + case 3: /* Issuance jets chapter */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = ISSUANCE; return 0; + case 2: *result = ISSUANCE_ASSET; return 0; + case 3: *result = ISSUANCE_TOKEN; return 0; + case 4: *result = ISSUANCE_ENTROPY; return 0; + case 5: *result = CALCULATE_ISSUANCE_ENTROPY; return 0; + case 6: *result = CALCULATE_ASSET; return 0; + case 7: *result = CALCULATE_EXPLICIT_TOKEN; return 0; + case 8: *result = CALCULATE_CONFIDENTIAL_TOKEN; return 0; + } + break; + case 4: /* Transaction jets chapter */ + code = decodeUptoMaxInt(stream); + if (code < 0) return code; + switch (code) { + case 1: *result = SCRIPT_CMR; return 0; + case 2: *result = INTERNAL_KEY; return 0; + case 3: *result = CURRENT_INDEX; return 0; + case 4: *result = NUM_INPUTS; return 0; + case 5: *result = NUM_OUTPUTS; return 0; + case 6: *result = LOCK_TIME; return 0; + case 7: *result = OUTPUT_ASSET; return 0; + case 8: *result = OUTPUT_AMOUNT; return 0; + case 9: *result = OUTPUT_NONCE; return 0; + case 10: *result = OUTPUT_SCRIPT_HASH; return 0; + case 11: *result = OUTPUT_NULL_DATUM; return 0; + case 12: *result = OUTPUT_SURJECTION_PROOF; return 0; + case 13: *result = OUTPUT_RANGE_PROOF; return 0; + /* case 14: *result = TOTAL_FEE; return 0; */ + case 15: *result = CURRENT_PEGIN; return 0; + case 16: *result = CURRENT_PREV_OUTPOINT; return 0; + case 17: *result = CURRENT_ASSET; return 0; + case 18: *result = CURRENT_AMOUNT; return 0; + case 19: *result = CURRENT_SCRIPT_HASH; return 0; + case 20: *result = CURRENT_SEQUENCE; return 0; + case 21: *result = CURRENT_ANNEX_HASH; return 0; + case 22: *result = CURRENT_SCRIPT_SIG_HASH; return 0; + case 23: *result = CURRENT_REISSUANCE_BLINDING; return 0; + case 24: *result = CURRENT_NEW_ISSUANCE_CONTRACT; return 0; + case 25: *result = CURRENT_REISSUANCE_ENTROPY; return 0; + case 26: *result = CURRENT_ISSUANCE_ASSET_AMOUNT; return 0; + case 27: *result = CURRENT_ISSUANCE_TOKEN_AMOUNT; return 0; + case 28: *result = CURRENT_ISSUANCE_ASSET_PROOF; return 0; + case 29: *result = CURRENT_ISSUANCE_TOKEN_PROOF; return 0; + case 30: *result = INPUT_PEGIN; return 0; + case 31: *result = INPUT_PREV_OUTPOINT; return 0; + case 32: *result = INPUT_ASSET; return 0; + case 33: *result = INPUT_AMOUNT; return 0; + case 34: *result = INPUT_SCRIPT_HASH; return 0; + case 35: *result = INPUT_SEQUENCE; return 0; + case 36: *result = INPUT_ANNEX_HASH; return 0; + case 37: *result = INPUT_SCRIPT_SIG_HASH; return 0; + case 38: *result = REISSUANCE_BLINDING; return 0; + case 39: *result = NEW_ISSUANCE_CONTRACT; return 0; + case 40: *result = REISSUANCE_ENTROPY; return 0; + case 41: *result = ISSUANCE_ASSET_AMOUNT; return 0; + case 42: *result = ISSUANCE_TOKEN_AMOUNT; return 0; + case 43: *result = ISSUANCE_ASSET_PROOF; return 0; + case 44: *result = ISSUANCE_TOKEN_PROOF; return 0; + case 45: *result = TAPLEAF_VERSION; return 0; + case 46: *result = TAPBRANCH; return 0; + case 47: *result = VERSION; return 0; + case 48: *result = GENESIS_BLOCK_HASH; return 0; + } + break; + } + return SIMPLICITY_ERR_DATA_OUT_OF_RANGE; + } +} + +/* Cached copy of each node for all the Elements specific jets. + * Only to be accessed through 'jetNode'. + */ +static once_flag static_initialized = ONCE_FLAG_INIT; +static dag_node jet_node[] = { +#include "primitiveJetNode.inc" + }; +static void static_initialize(void) { + { + /* Jets are identified by their specification's identity Merkle roots. */ +#include "primitiveInitJet.inc" + } +} + +/* Return a copy of the Simplicity node corresponding to the given Elements specific jet 'name'. */ +static dag_node jetNode(jetName name) { + call_once(&static_initialized, &static_initialize); + + return jet_node[name]; +} + +/* Decode an Elements specific jet from 'stream' into 'node'. + * All jets begin with a bit prefix of '1' which needs to have already been consumed from the 'stream'. + * Returns 'SIMPLICITY_ERR_DATA_OUT_OF_RANGE' if the stream's prefix doesn't match any valid code for a jet. + * Returns 'SIMPLICITY_ERR_BITSTRING_EOF' if not enough bits are available in the 'stream'. + * In the above error cases, 'dag' may be modified. + * Returns 0 if successful. + * + * Precondition: NULL != node + * NULL != stream + */ +int32_t decodeJet(dag_node* node, bitstream* stream) { + jetName name; + int32_t err = decodePrimitive(&name, stream); + if (err < 0) return err; + *node = jetNode(name); + return 0; +} diff --git a/primitive/elements/primitive.h b/primitive/elements/primitive.h new file mode 100644 index 00000000000..7bd4a935036 --- /dev/null +++ b/primitive/elements/primitive.h @@ -0,0 +1,271 @@ +/* This module defines the environment ('txEnv') for Simplicity evaluation for Elements. + * It includes the transaction data and input index of the input whose Simplicity program is being executed. + * It also includes the commitment Merkle root of the program being executed. + */ +#ifndef SIMPLICITY_PRIMITIVE_ELEMENTS_H +#define SIMPLICITY_PRIMITIVE_ELEMENTS_H + +#include +#include "../../sha256.h" + +/* An Elements 'outpoint' consists of a transaction id and output index within that transaction. + * The transaction id can be a either a transaction within the chain, or the transaction id from another chain in case of a peg-in. + */ +typedef struct outpoint { + sha256_midstate txid; + uint_fast32_t ix; +} outpoint; + +/* In Elements, many fields can optionally be blinded and encoded as a point on the secp256k1 curve. + * This prefix determines the parity of the y-coordinate of that point point, or indicates the value is explicit. + * Sometimes values are entirely optional, in which case 'NONE' is a possibility. + */ +typedef enum confPrefix { + NONE = 0, + EXPLICIT = 1, + EVEN_Y = 2, + ODD_Y = 3 +} confPrefix; + +/* Returns true when the prefix indicates the associated value is a confidential value. */ +static inline bool is_confidential(confPrefix prefix) { + return EVEN_Y == prefix || ODD_Y == prefix; +} + +/* A confidential (256-bit) hash. + * When 'prefix' is either 'EVEN_Y' or 'ODD_Y' then 'data' contains the x-coordinate of the point on the secp256k1 curve + * representing the blinded value. + * When 'prefix' is 'EXPLICIT' then 'data' is the unblinded 256-bit hash. + * When 'prefix' is 'NONE' the value is "NULL" and the 'data' field is unused. + */ +typedef struct confidential { + sha256_midstate data; + confPrefix prefix; +} confidential; + +/* A confidential 64-bit value. + * When 'prefix' is either 'EVEN_Y' or 'ODD_Y' then 'confidential' contains the x-coordinate of the point on the secp256k1 curve + * representing the blinded value. + * When 'prefix' is 'EXPLICIT' then 'explicit' is the unblinded 256-bit hash. + * invariant: 'prefix' != 'NONE' + */ +typedef struct confAmount { + union { + sha256_midstate confidential; + uint_fast64_t explicit; + }; + confPrefix prefix; +} confAmount; + +/* In Elements, a null-data scriptPubKey consists of an OP_RETURN followed by data only pushes (i.e. only opcodes less than OP_16). + * This is an enumeration of all such data only push operation names. + * OP_IMMEDIATE represents OP_0 and all the one-byte prefixes of data pushes up to 75 bytes. + */ +typedef enum opcodeType { + OP_IMMEDIATE, + OP_PUSHDATA, + OP_PUSHDATA2, + OP_PUSHDATA4, + OP_1NEGATE, + OP_RESERVED, + OP_1, + OP_2, + OP_3, + OP_4, + OP_5, + OP_6, + OP_7, + OP_8, + OP_9, + OP_10, + OP_11, + OP_12, + OP_13, + OP_14, + OP_15, + OP_16 +} opcodeType; + +/* In Elements, a null-data scriptPubKey consists of an OP_RETURN followed by data only pushes (i.e. only opcodes less than OP_16). + * This is a structure represents a digest of all such operations. + * 'code' represents the operation name. + * If 'code' \in {OP_IMMEDIATE, OP_PUSHDATA, OP_PUSHDATA2, OP_PUSHDATA4} then 'dataHash' represents the SHA-256 hash of data pushed + * by the push operation. + */ +typedef struct opcode { + sha256_midstate dataHash; + opcodeType code; +} opcode; + +/* In Elements, a null-data scriptPubKey consists of an OP_RETURN followed by data only pushes (i.e. only opcodes less than OP_16). + * This is an structure for an array of digets of null-data scriptPubKeys. + * 'op' is an array of the (digests of) each data push. + * Note that 'len' is 0 for a null-data scriptPubKey consisting of only an OP_RETURN. + * + * Invariant: opcode op[len] (or op == NULL and len == 0) + */ +typedef struct parsedNullData { + const opcode* op; + uint_fast32_t len; +} parsedNullData; + +/* A structure representing data from one output from an Elements transaction. + * 'surjectionProofHash' is the SHA-256 hash of the output's surjection proof. + * 'rangeProofHash' is the SHA-256 hash of the output's range proof. + * 'scriptPubKey' is the SHA-256 hash of the outputs scriptPubKey. + * 'isNullData' is true if the output has a null-data scriptPubKey. + */ +typedef struct sigOutput { + sha256_midstate surjectionProofHash; + sha256_midstate rangeProofHash; + confidential asset; + confAmount amt; + confidential nonce; + sha256_midstate scriptPubKey; + parsedNullData pnd; + bool isNullData; +} sigOutput; + +/* The data held by an Elements unspent transaction output database. + * This 'scriptPubKey' of the unspent transaction output, which in our application is digested as a SHA-256 hash. + * This also includes the asset and amount of the output, each of which may or may not be blinded. + */ +typedef struct utxo { + sha256_midstate scriptPubKey; + confidential asset; + confAmount amt; +} utxo; + +/* In Elements, a transaction input can optionally issue a new asset or reissue an existing asset. + * This enumerates those possibilities. + */ +typedef enum issuanceType { + NO_ISSUANCE = 0, + NEW_ISSUANCE, + REISSUANCE +} issuanceType; + +/* In Elements, a transaction input can optionally issue a new asset or reissue an existing asset. + * This structure contains data about such an issuance. + * 'assetRangeProofHash' is the SHA-256 hash of the asset amount's range proof. + * 'tokenRangeProofHash' is the SHA-256 hash of the token amount's range proof. + * + * Invariant: If 'type == NEW_ISSUANCE' then 'contractHash' and 'tokenAmt' are active; + * If 'type == REISSUANCE' then 'blindingNonce' is active; + */ +typedef struct assetIssuance { + union { + struct { + sha256_midstate contractHash; + confAmount tokenAmt; + }; + struct { + sha256_midstate blindingNonce; + }; + }; + sha256_midstate entropy; + sha256_midstate assetRangeProofHash; + sha256_midstate tokenRangeProofHash; + sha256_midstate assetId; /* Cached asset ID calculation. */ + sha256_midstate tokenId; /* Cached token ID calculation. */ + confAmount assetAmt; + issuanceType type; +} assetIssuance; + +/* A structure representing data from one input from an Elements transaction along with the utxo data of the output being redeemed. + * When 'hasAnnex' then 'annexHash' is a cache of the hash of the input's segwit annex. + * When 'isPegin' then the 'prevOutpoint' represents an outpoint of another chain + * and 'pegin' contains the hash of the parent chain's genesis block. + */ +typedef struct sigInput { + sha256_midstate annexHash; + sha256_midstate pegin; + sha256_midstate scriptSigHash; + outpoint prevOutpoint; + utxo txo; + uint_fast32_t sequence; + assetIssuance issuance; + bool hasAnnex; + bool isPegin; +} sigInput; + +/* A structure representing data from an Elements transaction (along with the utxo data of the outputs being redeemed). + * Includes a variety of cached hash values that are used in signature hash jets. + */ +typedef struct transaction { + const sigInput* input; + const sigOutput* output; + sha256_midstate outputAssetAmountsHash; + sha256_midstate outputNoncesHash; + sha256_midstate outputScriptsHash; + sha256_midstate outputRangeProofsHash; + sha256_midstate outputSurjectionProofsHash; + sha256_midstate outputsHash; + sha256_midstate inputOutpointsHash; + sha256_midstate inputAssetAmountsHash; + sha256_midstate inputScriptsHash; + sha256_midstate inputUTXOsHash; + sha256_midstate inputSequencesHash; + sha256_midstate inputAnnexesHash; + sha256_midstate inputScriptSigsHash; + sha256_midstate inputsHash; + sha256_midstate issuanceAssetAmountsHash; + sha256_midstate issuanceTokenAmountsHash; + sha256_midstate issuanceRangeProofsHash; + sha256_midstate issuanceBlindingEntropyHash; + sha256_midstate issuancesHash; + sha256_midstate txHash; + uint_fast32_t numInputs; + uint_fast32_t numOutputs; + uint_fast32_t version; + uint_fast32_t lockTime; + /* lockDuration and lockDistance values are set even when the version is 0 or 1. + * This is similar to lockTime whose value is also set, even when the transaction is final. + */ + uint_fast16_t lockDistance; + uint_fast16_t lockDuration; /* Units of 512 seconds */ + bool isFinal; +} transaction; + +/* A structure representing taproot spending data from an Elements transaction. + * + * Invariant: branchLen <= 128 + * sha256_midstate branch[branchLen]; + */ +typedef struct tapEnv { + const sha256_midstate *branch; + sha256_midstate tapLeafHash; + sha256_midstate tapbranchHash; + sha256_midstate tapEnvHash; + sha256_midstate internalKey; + sha256_midstate scriptCMR; + unsigned char branchLen; + unsigned char leafVersion; +} tapEnv; + +/* The 'txEnv' structure used by the Elements application of Simplcity. + * + * It includes + * + the transaction data, which may be shared when Simplicity expressions are used for multiple inputs in the same transaction), + * + the input index under consideration, + * + the hash of the genesis block for the chain, + */ +typedef struct txEnv { + const transaction* tx; + const tapEnv* taproot; + sha256_midstate genesisHash; + sha256_midstate sigAllHash; + uint_fast32_t ix; +} txEnv; + +/* Contstruct a txEnv structure from its components. + * This function will precompute any cached values. + * + * Precondition: NULL != tx + * NULL != taproot + * NULL != genesisHash + * ix < tx->numInputs + */ +txEnv build_txEnv(const transaction* tx, const tapEnv* taproot, const sha256_midstate* genesisHash, uint_fast32_t ix); + +#endif diff --git a/primitive/elements/primitiveEnumJet.inc b/primitive/elements/primitiveEnumJet.inc new file mode 100644 index 00000000000..eddaaacd61d --- /dev/null +++ b/primitive/elements/primitiveEnumJet.inc @@ -0,0 +1,164 @@ +/* This file has been automatically generated. */ +ADD_32, +ANNEX_HASH, +ASSET_AMOUNT_HASH, +BIP_0340_VERIFY, +BUILD_TAPBRANCH, +BUILD_TAPLEAF_SIMPLICITY, +CALCULATE_ASSET, +CALCULATE_CONFIDENTIAL_TOKEN, +CALCULATE_EXPLICIT_TOKEN, +CALCULATE_ISSUANCE_ENTROPY, +CHECK_LOCK_DISTANCE, +CHECK_LOCK_DURATION, +CHECK_LOCK_HEIGHT, +CHECK_LOCK_TIME, +CHECK_SIG_VERIFY, +CURRENT_AMOUNT, +CURRENT_ANNEX_HASH, +CURRENT_ASSET, +CURRENT_INDEX, +CURRENT_ISSUANCE_ASSET_AMOUNT, +CURRENT_ISSUANCE_ASSET_PROOF, +CURRENT_ISSUANCE_TOKEN_AMOUNT, +CURRENT_ISSUANCE_TOKEN_PROOF, +CURRENT_NEW_ISSUANCE_CONTRACT, +CURRENT_PEGIN, +CURRENT_PREV_OUTPOINT, +CURRENT_REISSUANCE_BLINDING, +CURRENT_REISSUANCE_ENTROPY, +CURRENT_SCRIPT_HASH, +CURRENT_SCRIPT_SIG_HASH, +CURRENT_SEQUENCE, +DECOMPRESS, +EQ_256, +EQ_32, +FE_ADD, +FE_INVERT, +FE_IS_ODD, +FE_IS_ZERO, +FE_MULTIPLY, +FE_MULTIPLY_BETA, +FE_NEGATE, +FE_NORMALIZE, +FE_SQUARE, +FE_SQUARE_ROOT, +FULL_ADD_32, +FULL_MULTIPLY_32, +FULL_SUBTRACT_32, +GE_IS_ON_CURVE, +GE_NEGATE, +GEJ_ADD, +GEJ_DOUBLE, +GEJ_GE_ADD, +GEJ_GE_ADD_EX, +GEJ_INFINITY, +GEJ_IS_INFINITY, +GEJ_IS_ON_CURVE, +GEJ_NEGATE, +GEJ_NORMALIZE, +GEJ_RESCALE, +GEJ_X_EQUIV, +GEJ_Y_IS_ODD, +GENERATE, +GENESIS_BLOCK_HASH, +INPUT_AMOUNT, +INPUT_AMOUNTS_HASH, +INPUT_ANNEX_HASH, +INPUT_ANNEXES_HASH, +INPUT_ASSET, +INPUT_OUTPOINTS_HASH, +INPUT_PEGIN, +INPUT_PREV_OUTPOINT, +INPUT_SCRIPT_HASH, +INPUT_SCRIPT_SIG_HASH, +INPUT_SCRIPT_SIGS_HASH, +INPUT_SCRIPTS_HASH, +INPUT_SEQUENCE, +INPUT_SEQUENCES_HASH, +INPUT_UTXOS_HASH, +INPUTS_HASH, +INTERNAL_KEY, +ISSUANCE, +ISSUANCE_ASSET, +ISSUANCE_ASSET_AMOUNT, +ISSUANCE_ASSET_AMOUNTS_HASH, +ISSUANCE_ASSET_PROOF, +ISSUANCE_BLINDING_ENTROPY_HASH, +ISSUANCE_ENTROPY, +ISSUANCE_RANGE_PROOFS_HASH, +ISSUANCE_TOKEN, +ISSUANCE_TOKEN_AMOUNT, +ISSUANCE_TOKEN_AMOUNTS_HASH, +ISSUANCE_TOKEN_PROOF, +ISSUANCES_HASH, +LE_32, +LINEAR_COMBINATION_1, +LINEAR_VERIFY_1, +LOCK_TIME, +LOW_32, +MULTIPLY_32, +NEW_ISSUANCE_CONTRACT, +NONCE_HASH, +NUM_INPUTS, +NUM_OUTPUTS, +ONE_32, +OUTPOINT_HASH, +OUTPUT_AMOUNT, +OUTPUT_AMOUNTS_HASH, +OUTPUT_ASSET, +OUTPUT_NONCE, +OUTPUT_NONCES_HASH, +OUTPUT_NULL_DATUM, +OUTPUT_RANGE_PROOF, +OUTPUT_RANGE_PROOFS_HASH, +OUTPUT_SCRIPT_HASH, +OUTPUT_SCRIPTS_HASH, +OUTPUT_SURJECTION_PROOF, +OUTPUT_SURJECTION_PROOFS_HASH, +OUTPUTS_HASH, +PARSE_LOCK, +PARSE_SEQUENCE, +POINT_VERIFY_1, +REISSUANCE_BLINDING, +REISSUANCE_ENTROPY, +SCALAR_ADD, +SCALAR_INVERT, +SCALAR_IS_ZERO, +SCALAR_MULTIPLY, +SCALAR_MULTIPLY_LAMBDA, +SCALAR_NEGATE, +SCALAR_NORMALIZE, +SCALAR_SQUARE, +SCALE, +SCRIPT_CMR, +SHA_256_BLOCK, +SHA_256_CTX_8_ADD_1, +SHA_256_CTX_8_ADD_128, +SHA_256_CTX_8_ADD_16, +SHA_256_CTX_8_ADD_2, +SHA_256_CTX_8_ADD_256, +SHA_256_CTX_8_ADD_32, +SHA_256_CTX_8_ADD_4, +SHA_256_CTX_8_ADD_512, +SHA_256_CTX_8_ADD_64, +SHA_256_CTX_8_ADD_8, +SHA_256_CTX_8_ADD_BUFFER_511, +SHA_256_CTX_8_FINALIZE, +SHA_256_CTX_8_INIT, +SHA_256_IV, +SIG_ALL_HASH, +SUBTRACT_32, +TAP_ENV_HASH, +TAPBRANCH, +TAPBRANCH_HASH, +TAPLEAF_HASH, +TAPLEAF_VERSION, +TX_HASH, +TX_IS_FINAL, +TX_LOCK_DISTANCE, +TX_LOCK_DURATION, +TX_LOCK_HEIGHT, +TX_LOCK_TIME, +VERIFY, +VERSION, diff --git a/primitive/elements/primitiveEnumTy.inc b/primitive/elements/primitiveEnumTy.inc new file mode 100644 index 00000000000..1f060fcd8cb --- /dev/null +++ b/primitive/elements/primitiveEnumTy.inc @@ -0,0 +1,107 @@ +/* This file has been automatically generated. */ +ty_u = 0, +ty_b = 1, +ty_w2 = 2, +ty_w4 = 3, +ty_w8 = 4, +ty_w16 = 5, +ty_w32 = 6, +ty_w64 = 7, +ty_w128 = 8, +ty_w256 = 9, +ty_w512 = 10, +ty_w1Ki = 11, +ty_w2Ki = 12, +ty_w4Ki = 13, +ty_w8Ki = 14, +ty_w16Ki = 15, +ty_w32Ki = 16, +ty_w64Ki = 17, +ty_w128Ki = 18, +ty_w256Ki = 19, +ty_w512Ki = 20, +ty_w1Mi = 21, +ty_w2Mi = 22, +ty_w4Mi = 23, +ty_w8Mi = 24, +ty_w16Mi = 25, +ty_w32Mi = 26, +ty_w64Mi = 27, +ty_w128Mi = 28, +ty_w256Mi = 29, +ty_w512Mi = 30, +ty_w1Gi = 31, +ty_w2Gi = 32, +ty_mb, +ty_mw8, +ty_mw16, +ty_mw32, +ty_mw64, +ty_mw128, +ty_mw256, +ty_mw512, +ty_mw1Ki, +ty_mw2Ki, +ty_mmb, +ty_mmw256, +ty_mmspbw256w64, +ty_mmspbw256w256, +ty_mmspw2w256sbw4, +ty_msw16w16, +ty_mspbw256w64, +ty_mspbw256w256, +ty_mspw2w256sbw4, +ty_mpw256w32, +ty_mpspbw256w256spbw256w64, +ty_sbw4, +ty_sw16w16, +ty_sw32w32, +ty_spbw256w64, +ty_spbw256w256, +ty_spw2w256sbw4, +ty_pbw32, +ty_pbw64, +ty_pbw256, +ty_pw2w256, +ty_pw64w256, +ty_pw256w32, +ty_pw256w512, +ty_pw256pbw256, +ty_pw256pw512w256, +ty_pw512w256, +ty_pmw16mw8, +ty_pmw32pmw16mw8, +ty_pmw64pmw32pmw16mw8, +ty_pmw128pmw64pmw32pmw16mw8, +ty_pmw256pw256w32, +ty_pmw256pmw128pmw64pmw32pmw16mw8, +ty_pmw512pmw256pmw128pmw64pmw32pmw16mw8, +ty_pmw1Kipmw512pmw256pmw128pmw64pmw32pmw16mw8, +ty_pmw2Kipmw1Kipmw512pmw256pmw128pmw64pmw32pmw16mw8, +ty_pspbw256w256spbw256w64, +ty_ppw256w32w256, +ty_ppw256w512w256, +ty_ppw256w512w512, +ty_ppw256pbw256w256, +ty_ppw256pw512w256w256, +ty_ppw512w256w256, +ty_ppw512w256w512, +ty_ppw512w256pw512w256, +ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256, +ty_pppw256w512w256w512, +ty_pppw256pbw256w256pbw256, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w8, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w16, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w32, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w64, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w128, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w256, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w512, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w1Ki, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w2Ki, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w4Ki, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256mw256, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256mspbw256w256, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256pmw256pw256w32, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256pmw2Kipmw1Kipmw512pmw256pmw128pmw64pmw32pmw16mw8, +ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256pspbw256w256spbw256w64, diff --git a/primitive/elements/primitiveInitJet.inc b/primitive/elements/primitiveInitJet.inc new file mode 100644 index 00000000000..67f12e45f23 --- /dev/null +++ b/primitive/elements/primitiveInitJet.inc @@ -0,0 +1,164 @@ +/* This file has been automatically generated. */ +jet_node[ADD_32].cmr = mkJetCMR((uint32_t[8]){0xe40466a7u, 0xecf71ce8u, 0x62fb3c15u, 0x4c1e8f84u, 0x5d7e5707u, 0x463a8945u, 0x37a32fc7u, 0x214900adu}); +jet_node[ANNEX_HASH].cmr = mkJetCMR((uint32_t[8]){0x58c8f713u, 0xb63ab933u, 0x98dd9849u, 0xbb5ac036u, 0x9b0d6b91u, 0xf432be19u, 0x35907544u, 0x7cb4bb85u}); +jet_node[ASSET_AMOUNT_HASH].cmr = mkJetCMR((uint32_t[8]){0xd8a7aa94u, 0x952089dau, 0x93ef45c9u, 0xa3c2053bu, 0xa9fa0267u, 0xdf078b74u, 0x36c8e3cbu, 0x0f64b7b0u}); +jet_node[BIP_0340_VERIFY].cmr = mkJetCMR((uint32_t[8]){0x6da526adu, 0xe34eb9d3u, 0xaa8cd705u, 0xbaf9acebu, 0x3eb58523u, 0xba84285cu, 0x55fc046au, 0x2b0d2aeau}); +jet_node[BUILD_TAPBRANCH].cmr = mkJetCMR((uint32_t[8]){0x37271a84u, 0x5dfe8df3u, 0x9aecce72u, 0xc4e6dab0u, 0xcf4f2cddu, 0xbcc67a1au, 0xa7ff4a50u, 0x03309dceu}); +jet_node[BUILD_TAPLEAF_SIMPLICITY].cmr = mkJetCMR((uint32_t[8]){0x394c1bf2u, 0xfbe8ba15u, 0x04ba15cbu, 0xaab20c6cu, 0xdc836a32u, 0x5c31bf3cu, 0xd9cc9ef1u, 0x2cc00974u}); +jet_node[CALCULATE_ASSET].cmr = mkJetCMR((uint32_t[8]){0xb625bdf7u, 0x1fb2a74bu, 0x7df88584u, 0xfda95e62u, 0xd76f6d76u, 0x11ee22bdu, 0x1ad00a6du, 0xc8d93399u}); +jet_node[CALCULATE_CONFIDENTIAL_TOKEN].cmr = mkJetCMR((uint32_t[8]){0x4e9ec773u, 0x2ebacef6u, 0x9be40ce9u, 0x5395c221u, 0x4a7898bcu, 0x68823552u, 0x7db7baf0u, 0xdd0b47fcu}); +jet_node[CALCULATE_EXPLICIT_TOKEN].cmr = mkJetCMR((uint32_t[8]){0x36daafefu, 0xfe746043u, 0x12dae154u, 0xb9e6acb9u, 0x64745df5u, 0x4fe559f1u, 0x7dc813d3u, 0xd2f3d665u}); +jet_node[CALCULATE_ISSUANCE_ENTROPY].cmr = mkJetCMR((uint32_t[8]){0x261db73cu, 0xf0ad2c7bu, 0x68555818u, 0xf500467bu, 0x2061a8fdu, 0x614d4366u, 0xa98f0420u, 0xe40a264bu}); +jet_node[CHECK_LOCK_DISTANCE].cmr = mkJetCMR((uint32_t[8]){0x11486df3u, 0xda601fd3u, 0x8b74068cu, 0xe038f245u, 0xfde61756u, 0xc6683234u, 0x144f163cu, 0xd1ef2e8du}); +jet_node[CHECK_LOCK_DURATION].cmr = mkJetCMR((uint32_t[8]){0x83068917u, 0x74549b14u, 0x5b193566u, 0xd5d22238u, 0x2d260e5au, 0x15fb52ceu, 0xd23c262bu, 0x17699bc0u}); +jet_node[CHECK_LOCK_HEIGHT].cmr = mkJetCMR((uint32_t[8]){0x22a29e57u, 0xc63869e2u, 0x2db236acu, 0x43474152u, 0xd2cdd958u, 0x48f30065u, 0x1ff33da7u, 0xb27c4744u}); +jet_node[CHECK_LOCK_TIME].cmr = mkJetCMR((uint32_t[8]){0xd67aaaecu, 0x7a42a63bu, 0x2eea0950u, 0x8601abfau, 0xf748d151u, 0xf2c458f3u, 0xdd2bad00u, 0x22038824u}); +jet_node[CHECK_SIG_VERIFY].cmr = mkJetCMR((uint32_t[8]){0x05e7d6c4u, 0x386b467au, 0x7d93c721u, 0x765c9041u, 0x0d309f08u, 0xc61c4e27u, 0xd7bb6920u, 0x7ba086d3u}); +jet_node[CURRENT_AMOUNT].cmr = mkJetCMR((uint32_t[8]){0x6a956b72u, 0x6aa86e23u, 0xbc289afau, 0x8ef7d1deu, 0x5ebc1937u, 0x61b482d8u, 0x903bffeau, 0x0a295093u}); +jet_node[CURRENT_ANNEX_HASH].cmr = mkJetCMR((uint32_t[8]){0xf2bce431u, 0x722dcc92u, 0x3de8367au, 0x8a74b4dau, 0x69ea4df2u, 0xe09c98adu, 0x22fe5c1bu, 0xba89b607u}); +jet_node[CURRENT_ASSET].cmr = mkJetCMR((uint32_t[8]){0x949df468u, 0x1ede99e7u, 0x9bf55553u, 0xd671c409u, 0x529df528u, 0x140571d9u, 0x6ffebe64u, 0xb47ab1ddu}); +jet_node[CURRENT_INDEX].cmr = mkJetCMR((uint32_t[8]){0xf37c71dcu, 0xb185ce16u, 0x4b54ed33u, 0x0762378au, 0xa73f8c4eu, 0x68de4b5bu, 0xa6b4bcf9u, 0x6a2933c5u}); +jet_node[CURRENT_ISSUANCE_ASSET_AMOUNT].cmr = mkJetCMR((uint32_t[8]){0x137b9e56u, 0xdaa19956u, 0x03049414u, 0x2a30165au, 0x48453230u, 0x97f14777u, 0x5850e7feu, 0x6715b588u}); +jet_node[CURRENT_ISSUANCE_ASSET_PROOF].cmr = mkJetCMR((uint32_t[8]){0x2eb504eeu, 0xcec644f3u, 0x95f35084u, 0xd93260f9u, 0x6d59156bu, 0x80065416u, 0x1640eb20u, 0x639c2fdau}); +jet_node[CURRENT_ISSUANCE_TOKEN_AMOUNT].cmr = mkJetCMR((uint32_t[8]){0x04159caeu, 0x381d2e04u, 0x528123bbu, 0x2de28ea2u, 0x972b9658u, 0x6e7ff24bu, 0xe398c197u, 0x3bcb0a36u}); +jet_node[CURRENT_ISSUANCE_TOKEN_PROOF].cmr = mkJetCMR((uint32_t[8]){0x3753e33eu, 0xe2c7f240u, 0xc7242b7au, 0xf0ece5ceu, 0x97b47ebbu, 0xa23c71cfu, 0x3a27f35cu, 0x74bbddcdu}); +jet_node[CURRENT_NEW_ISSUANCE_CONTRACT].cmr = mkJetCMR((uint32_t[8]){0x8248c153u, 0x3b1a03c5u, 0x977f6345u, 0x65065ecbu, 0x837b9c4cu, 0x25b3a41fu, 0x54d76dd5u, 0xd6733023u}); +jet_node[CURRENT_PEGIN].cmr = mkJetCMR((uint32_t[8]){0x11b7f0e3u, 0x471906b1u, 0xa37cbee8u, 0x0f78b9a4u, 0x25633ff8u, 0x58bbf380u, 0x23a7bb1du, 0x8f11a719u}); +jet_node[CURRENT_PREV_OUTPOINT].cmr = mkJetCMR((uint32_t[8]){0xcf66cd9du, 0x495c9abdu, 0x970fbda7u, 0xb61b3bbau, 0x343106bfu, 0x52295436u, 0x12cb20c5u, 0xd50582f5u}); +jet_node[CURRENT_REISSUANCE_BLINDING].cmr = mkJetCMR((uint32_t[8]){0x9cc91ae6u, 0x23e95ff9u, 0x2b6b3a73u, 0xb772d871u, 0x1bdc00fcu, 0x68e247b5u, 0x1400341fu, 0xc920b705u}); +jet_node[CURRENT_REISSUANCE_ENTROPY].cmr = mkJetCMR((uint32_t[8]){0x2068430eu, 0xf828f351u, 0x1ef45496u, 0x310f93bbu, 0x72026fa7u, 0x9e303658u, 0xad8f21b8u, 0x8a8a28dcu}); +jet_node[CURRENT_SCRIPT_HASH].cmr = mkJetCMR((uint32_t[8]){0x04929991u, 0xd6cb6ef7u, 0xb91b21d9u, 0x6bbe144fu, 0x7b974039u, 0xacaf89aau, 0x0ea0a25fu, 0x6f5e2f66u}); +jet_node[CURRENT_SCRIPT_SIG_HASH].cmr = mkJetCMR((uint32_t[8]){0x4278e514u, 0xdadff4e0u, 0x117cdccdu, 0x95cbdcd1u, 0xc39a52b7u, 0xc59aca19u, 0x166cbb3bu, 0xaec7035bu}); +jet_node[CURRENT_SEQUENCE].cmr = mkJetCMR((uint32_t[8]){0x897285a4u, 0x3e6f97f3u, 0x1861b607u, 0x54875f6au, 0xb97b0ebfu, 0x28e4de3fu, 0xf4907de1u, 0x3304766fu}); +jet_node[DECOMPRESS].cmr = mkJetCMR((uint32_t[8]){0xab5a2dbcu, 0x0f2c8208u, 0x6d2d46bbu, 0xa5691f13u, 0x12bacc94u, 0x6b08effbu, 0xe7f85151u, 0x141f7dcfu}); +jet_node[EQ_256].cmr = mkJetCMR((uint32_t[8]){0xd8bb6354u, 0x45b56bc0u, 0x6a335e1du, 0xe8e556ccu, 0x06f49308u, 0x674cb871u, 0x6a5ba81cu, 0xced7540eu}); +jet_node[EQ_32].cmr = mkJetCMR((uint32_t[8]){0x88bfc893u, 0x7c11873bu, 0x06e3d8afu, 0xa4f9f9e6u, 0x22db93f4u, 0x706bde36u, 0xbc601403u, 0x3448f301u}); +jet_node[FE_ADD].cmr = mkJetCMR((uint32_t[8]){0xc09d58e3u, 0x8dc4ce1au, 0xcc09dae8u, 0xa5881908u, 0xfe1ebc7fu, 0x1fc742c6u, 0x1cdc8493u, 0xf233b94au}); +jet_node[FE_INVERT].cmr = mkJetCMR((uint32_t[8]){0xb6b11bd6u, 0x0258d326u, 0xb19b6f78u, 0x387ff3aau, 0xbf6a4c41u, 0x9d0c5a8du, 0xda6b4405u, 0x0bc6e9d5u}); +jet_node[FE_IS_ODD].cmr = mkJetCMR((uint32_t[8]){0x4d21e4b5u, 0x476fcf56u, 0xa369e5a1u, 0x89c486e0u, 0x987f9332u, 0xaaf4c0a7u, 0x5ac3af09u, 0xf81b1709u}); +jet_node[FE_IS_ZERO].cmr = mkJetCMR((uint32_t[8]){0x52359f07u, 0xed7a7c97u, 0x0e947dc8u, 0xc4994056u, 0x6c1a1e09u, 0x5d03604au, 0xfdb4433du, 0xa13a87ecu}); +jet_node[FE_MULTIPLY].cmr = mkJetCMR((uint32_t[8]){0xac5a3626u, 0xb5fc2b5au, 0x206ac18fu, 0x1b0f9ecau, 0xcb5c6314u, 0xc4efda59u, 0xe0fad3a1u, 0xb599a1bdu}); +jet_node[FE_MULTIPLY_BETA].cmr = mkJetCMR((uint32_t[8]){0xe7a698e2u, 0x5ebbf70fu, 0x8ced3130u, 0xac04d674u, 0xa9da39e0u, 0x61761bfdu, 0x9d87d794u, 0x898f8a7au}); +jet_node[FE_NEGATE].cmr = mkJetCMR((uint32_t[8]){0x8766585du, 0x27d18863u, 0x42714443u, 0x2ba483b3u, 0x6cd2dd1fu, 0x36181410u, 0xacc71493u, 0x9c0cb56au}); +jet_node[FE_NORMALIZE].cmr = mkJetCMR((uint32_t[8]){0xc070adbau, 0xab2c7be6u, 0xff577a75u, 0x07aff0e7u, 0x7657f309u, 0xe65d05fau, 0x23c19276u, 0xf73852ebu}); +jet_node[FE_SQUARE].cmr = mkJetCMR((uint32_t[8]){0x8e77cc8cu, 0x63693a2au, 0xcd9a6526u, 0x6a028906u, 0xf864214au, 0xf66ba54cu, 0xce11acb0u, 0x37c94393u}); +jet_node[FE_SQUARE_ROOT].cmr = mkJetCMR((uint32_t[8]){0xf7718103u, 0x304cb436u, 0x96bdf92fu, 0x614c838du, 0x24d7dd7bu, 0xa8dc01abu, 0x5c6a7726u, 0x3c15f729u}); +jet_node[FULL_ADD_32].cmr = mkJetCMR((uint32_t[8]){0x4727361eu, 0xa003c1a4u, 0x83e57505u, 0xcf5b405au, 0x8227da1au, 0xddc47e2bu, 0x016c2d09u, 0xbe047fe8u}); +jet_node[FULL_MULTIPLY_32].cmr = mkJetCMR((uint32_t[8]){0xaac25361u, 0xe598e354u, 0x38b918b5u, 0x8fd2cef4u, 0xdb3c5d8cu, 0x5e63aa4fu, 0x25e9cec0u, 0xcfd9dfb1u}); +jet_node[FULL_SUBTRACT_32].cmr = mkJetCMR((uint32_t[8]){0x6d96f68au, 0x945c22e7u, 0x62115c09u, 0x4297b194u, 0xbedc0ce5u, 0xa0c92db6u, 0x4b830a18u, 0xb44df0d0u}); +jet_node[GE_IS_ON_CURVE].cmr = mkJetCMR((uint32_t[8]){0xd9aa6606u, 0x5cb0ed2cu, 0x7168609du, 0xfd62ab64u, 0x3aa87c27u, 0xe0dbbf96u, 0xf2914528u, 0xfeef52c5u}); +jet_node[GE_NEGATE].cmr = mkJetCMR((uint32_t[8]){0xa497e71cu, 0x403c4ce2u, 0xb781893cu, 0xd69a5285u, 0xea02d7b7u, 0xfe8edfacu, 0xe78a205au, 0xad2ec033u}); +jet_node[GEJ_ADD].cmr = mkJetCMR((uint32_t[8]){0x8075b590u, 0x28649087u, 0xded0e766u, 0x6e1a0051u, 0x4509d0c9u, 0x87d88d18u, 0x681ac89bu, 0xc960eb25u}); +jet_node[GEJ_DOUBLE].cmr = mkJetCMR((uint32_t[8]){0x80d0825du, 0x57ce424cu, 0xc8b89dc2u, 0x510d7e65u, 0x858a994eu, 0x8e987623u, 0xd10e3483u, 0xde26df9eu}); +jet_node[GEJ_GE_ADD].cmr = mkJetCMR((uint32_t[8]){0xddc12bb2u, 0x89175ff5u, 0x87a570b3u, 0x02af6108u, 0xfa565bcau, 0xce9c374au, 0x10b78363u, 0x951daa64u}); +jet_node[GEJ_GE_ADD_EX].cmr = mkJetCMR((uint32_t[8]){0x4a8902b1u, 0x1d739b4fu, 0xb848d185u, 0x28736ab1u, 0xd668be2eu, 0xab1fed8du, 0x068365b5u, 0x3bd77d88u}); +jet_node[GEJ_INFINITY].cmr = mkJetCMR((uint32_t[8]){0x2d9d36b4u, 0x6ead02dbu, 0x63b585dcu, 0xa67e5e4du, 0xcb940589u, 0xbb133c99u, 0x100d617cu, 0x27126e96u}); +jet_node[GEJ_IS_INFINITY].cmr = mkJetCMR((uint32_t[8]){0xe186f9bdu, 0xbe4916c7u, 0x2f6c3bc2u, 0xadf3e047u, 0x22ef4cecu, 0x297253e3u, 0xecaa4e4cu, 0xc551ef2cu}); +jet_node[GEJ_IS_ON_CURVE].cmr = mkJetCMR((uint32_t[8]){0xa8c82e8bu, 0x3a6199dau, 0x25b2b19cu, 0xd149f9ffu, 0x4c3fdc0bu, 0x00b26480u, 0xc0006553u, 0xd43c1f6eu}); +jet_node[GEJ_NEGATE].cmr = mkJetCMR((uint32_t[8]){0x71eeffb5u, 0xb637af51u, 0xc4978002u, 0xc212cdafu, 0x396cf8efu, 0xca33aab0u, 0xf833f81au, 0x9fb6a989u}); +jet_node[GEJ_NORMALIZE].cmr = mkJetCMR((uint32_t[8]){0xb41998deu, 0x564ef64fu, 0x63a4c9fau, 0xd1395064u, 0x832e7d5cu, 0x4c771d18u, 0x0fced28du, 0x8a765bd6u}); +jet_node[GEJ_RESCALE].cmr = mkJetCMR((uint32_t[8]){0xfa70aa15u, 0x3dab6bc9u, 0x9355c10cu, 0x61e5bfcfu, 0xa397b381u, 0xf7ef5915u, 0x9d83791au, 0x2a6a5824u}); +jet_node[GEJ_X_EQUIV].cmr = mkJetCMR((uint32_t[8]){0x65a860fau, 0x7e74601cu, 0xb6d83755u, 0x3ba19d60u, 0xc4773c1cu, 0x12b4b0f0u, 0x278b45fbu, 0x23fce967u}); +jet_node[GEJ_Y_IS_ODD].cmr = mkJetCMR((uint32_t[8]){0xcf91c71du, 0xa71398ecu, 0x8c64fdbfu, 0x8fdc912eu, 0xd5a8c1fau, 0xc6566e0bu, 0x5913ebe9u, 0xc4b10617u}); +jet_node[GENERATE].cmr = mkJetCMR((uint32_t[8]){0x93c240e4u, 0x07b1b6a8u, 0xc2f787f9u, 0x3ca99292u, 0xc0e6b248u, 0x5a882bfeu, 0xacf9878du, 0xc3b1b9beu}); +jet_node[GENESIS_BLOCK_HASH].cmr = mkJetCMR((uint32_t[8]){0x8a3803edu, 0x96ebf96cu, 0x5bc99d7du, 0xdc3187d7u, 0x94004101u, 0x9056414fu, 0x8696061du, 0x977913c2u}); +jet_node[INPUT_AMOUNT].cmr = mkJetCMR((uint32_t[8]){0x6e0a61fau, 0xaebc2cf4u, 0x220dea6cu, 0xc59c46e8u, 0x0c90c48eu, 0x9bd0e4e5u, 0xf63b04e1u, 0xecdbbfdfu}); +jet_node[INPUT_AMOUNTS_HASH].cmr = mkJetCMR((uint32_t[8]){0xb5496e58u, 0xc7cbebe4u, 0x465520dau, 0x8f435dadu, 0x294eb422u, 0x412591ebu, 0x4bddc91au, 0xde100bbeu}); +jet_node[INPUT_ANNEX_HASH].cmr = mkJetCMR((uint32_t[8]){0xde1a8180u, 0xbc9b8141u, 0x4a86d312u, 0x671f6a57u, 0x132fec6bu, 0xbcd43f9fu, 0xf5c07737u, 0xeabe595fu}); +jet_node[INPUT_ANNEXES_HASH].cmr = mkJetCMR((uint32_t[8]){0xf025df99u, 0x6d2e0271u, 0x9cd491eau, 0xd331a173u, 0xd01b17acu, 0xd382cf29u, 0xa7ab565au, 0x048de4afu}); +jet_node[INPUT_ASSET].cmr = mkJetCMR((uint32_t[8]){0x7da246f6u, 0xf7e08317u, 0x2eb7c70du, 0x81bae557u, 0x2f2c1026u, 0x4d46f25cu, 0x6827e442u, 0xe366e018u}); +jet_node[INPUT_OUTPOINTS_HASH].cmr = mkJetCMR((uint32_t[8]){0x7b79e2d8u, 0x1e53cf14u, 0x12b93638u, 0x6bdebf4du, 0x94243dc0u, 0xd18bb684u, 0x173ab0c4u, 0xd219d97cu}); +jet_node[INPUT_PEGIN].cmr = mkJetCMR((uint32_t[8]){0xeb74dd1cu, 0xb254b308u, 0x6f5c8dfau, 0xfd017432u, 0xf3c2e030u, 0x62d527d3u, 0x22d4abb0u, 0xad1956c3u}); +jet_node[INPUT_PREV_OUTPOINT].cmr = mkJetCMR((uint32_t[8]){0x091b59feu, 0xb2ccb3b0u, 0x0f8104cau, 0xf7fa164du, 0x5fcbad32u, 0xe4bc7388u, 0x82c8cf55u, 0x1008dbb1u}); +jet_node[INPUT_SCRIPT_HASH].cmr = mkJetCMR((uint32_t[8]){0xe96a7e33u, 0xedc6aba6u, 0xf76aeb5au, 0xb0cf4f79u, 0x597cf709u, 0x37b09619u, 0x0e013c24u, 0x6f6ea5a3u}); +jet_node[INPUT_SCRIPT_SIG_HASH].cmr = mkJetCMR((uint32_t[8]){0xac6cf852u, 0x15ebb356u, 0x10239c7fu, 0xae9e21d9u, 0x8c47b567u, 0x5486395fu, 0xea9e8937u, 0xb4c01438u}); +jet_node[INPUT_SCRIPT_SIGS_HASH].cmr = mkJetCMR((uint32_t[8]){0x24f9102fu, 0xc519f8cau, 0x4d140274u, 0xecb8ffe9u, 0x83131143u, 0xa0879f7eu, 0x64d11aa3u, 0x4bc00aafu}); +jet_node[INPUT_SCRIPTS_HASH].cmr = mkJetCMR((uint32_t[8]){0x242aff32u, 0xac3d3b21u, 0x6ce2bc30u, 0xbcea135cu, 0xb7ea86d5u, 0xa4ec92e0u, 0x8a9f5242u, 0x98382933u}); +jet_node[INPUT_SEQUENCE].cmr = mkJetCMR((uint32_t[8]){0x27430736u, 0xfed85746u, 0x33a6de9au, 0x198b3c63u, 0xfff80f18u, 0xd85aef70u, 0x6c64469eu, 0x35c39989u}); +jet_node[INPUT_SEQUENCES_HASH].cmr = mkJetCMR((uint32_t[8]){0x2b7de4ccu, 0xb80ba2b6u, 0x77043186u, 0xedc39830u, 0xf984b33eu, 0xada9974eu, 0x16dc620fu, 0x529852e4u}); +jet_node[INPUT_UTXOS_HASH].cmr = mkJetCMR((uint32_t[8]){0xd407700au, 0xa9a9537bu, 0x9c7b5661u, 0x4f717acbu, 0xb9e8f5ebu, 0xe3bb7ff7u, 0x1097a22du, 0xdf5ab755u}); +jet_node[INPUTS_HASH].cmr = mkJetCMR((uint32_t[8]){0x7e543835u, 0x0507ab6eu, 0x5649a4f5u, 0x566cd0d1u, 0x0c971357u, 0xc35ad16bu, 0xc4f968fau, 0xf5a91798u}); +jet_node[INTERNAL_KEY].cmr = mkJetCMR((uint32_t[8]){0xbd8e8c3au, 0xf9e23ca1u, 0x925251d0u, 0xc1bfd89bu, 0x06e1e9f5u, 0x2388dd64u, 0x6787e15bu, 0xe216c766u}); +jet_node[ISSUANCE].cmr = mkJetCMR((uint32_t[8]){0x3aa819cfu, 0x43f11061u, 0xde93acc5u, 0x6f5d20c3u, 0x97bcd98du, 0xdbefcf19u, 0x88a20602u, 0x33e64cbbu}); +jet_node[ISSUANCE_ASSET].cmr = mkJetCMR((uint32_t[8]){0x667b6549u, 0xebda20adu, 0x182b037au, 0xa3f91411u, 0x2b806354u, 0xa5a280b7u, 0xe841321bu, 0xd2fb8175u}); +jet_node[ISSUANCE_ASSET_AMOUNT].cmr = mkJetCMR((uint32_t[8]){0x169640b2u, 0x49c8f944u, 0xd5086f39u, 0xcbfc80dau, 0x2b02d904u, 0x1c5205f6u, 0x156d5deeu, 0xd847baaeu}); +jet_node[ISSUANCE_ASSET_AMOUNTS_HASH].cmr = mkJetCMR((uint32_t[8]){0xdbe7a6b1u, 0xbd03cbffu, 0x7cf33b9cu, 0x043e3734u, 0xdd4e11a8u, 0x4b53176du, 0x2e28304eu, 0x3d5fca61u}); +jet_node[ISSUANCE_ASSET_PROOF].cmr = mkJetCMR((uint32_t[8]){0x41b337ceu, 0x07ad73c0u, 0x6a29f0c6u, 0xa0fdd08au, 0x14f333fdu, 0x5233af84u, 0x94b0273cu, 0x130140b9u}); +jet_node[ISSUANCE_BLINDING_ENTROPY_HASH].cmr = mkJetCMR((uint32_t[8]){0x26716502u, 0x3762f388u, 0x26c6cba5u, 0xd29100d6u, 0xc4d8dbf2u, 0x88c59486u, 0xf7843983u, 0x60144461u}); +jet_node[ISSUANCE_ENTROPY].cmr = mkJetCMR((uint32_t[8]){0x085ca103u, 0x54a3d3dbu, 0xf09419f7u, 0xba577adau, 0xf0ec6c0bu, 0xa2ad7fa9u, 0x2e7524b7u, 0xda71a408u}); +jet_node[ISSUANCE_RANGE_PROOFS_HASH].cmr = mkJetCMR((uint32_t[8]){0xe341c823u, 0x8f20603du, 0xcd52c784u, 0xe16f0e2bu, 0xb2a0f4acu, 0x879fca4au, 0x9db01a92u, 0x2056f115u}); +jet_node[ISSUANCE_TOKEN].cmr = mkJetCMR((uint32_t[8]){0x2bdcff7bu, 0x6080f809u, 0xab59b9b5u, 0xe7585d1au, 0xc5a0c5c3u, 0xe1d4bd33u, 0x75fad797u, 0x063aaeacu}); +jet_node[ISSUANCE_TOKEN_AMOUNT].cmr = mkJetCMR((uint32_t[8]){0x16133704u, 0x12504a7eu, 0xb9701537u, 0x7834f9d6u, 0x54da882du, 0x6f79da05u, 0x658a89ceu, 0xed360462u}); +jet_node[ISSUANCE_TOKEN_AMOUNTS_HASH].cmr = mkJetCMR((uint32_t[8]){0x84f5af14u, 0x8821d4cdu, 0x555df226u, 0xdf82941eu, 0x255c30a3u, 0x2b03cf75u, 0x9b832a03u, 0xf7f908d9u}); +jet_node[ISSUANCE_TOKEN_PROOF].cmr = mkJetCMR((uint32_t[8]){0xdf9535f1u, 0x6523aacau, 0xa760599fu, 0x2ed8ee4au, 0xbf16ce97u, 0xfd2dcb9cu, 0xdd4feb53u, 0x89748a67u}); +jet_node[ISSUANCES_HASH].cmr = mkJetCMR((uint32_t[8]){0x07bb1334u, 0x765e1924u, 0x8f4c1161u, 0xc599d15fu, 0x0bcc995fu, 0xa23bec69u, 0xa8f9bcccu, 0x4462281du}); +jet_node[LE_32].cmr = mkJetCMR((uint32_t[8]){0xea772c0bu, 0x5aecde7du, 0xc16e3f1fu, 0x952789f0u, 0x13708904u, 0xceaa62cfu, 0xdcf64d30u, 0xa39117afu}); +jet_node[LINEAR_COMBINATION_1].cmr = mkJetCMR((uint32_t[8]){0x5049e271u, 0xcef09375u, 0xb68052c0u, 0x45df00fdu, 0xc02d10beu, 0xe01cbf62u, 0x46ebbcc5u, 0xeca5f144u}); +jet_node[LINEAR_VERIFY_1].cmr = mkJetCMR((uint32_t[8]){0x46e37c8cu, 0xd9def4f6u, 0xf853785bu, 0x91df8bb5u, 0x3b2e6102u, 0xcf88c8a6u, 0xb8d61085u, 0xa23c5fecu}); +jet_node[LOCK_TIME].cmr = mkJetCMR((uint32_t[8]){0x673a9879u, 0xc337f769u, 0x63bbb6cdu, 0x9a424e69u, 0x2437c3b0u, 0x2e8db012u, 0xa203125bu, 0xb965e207u}); +jet_node[LOW_32].cmr = mkJetCMR((uint32_t[8]){0x96be5334u, 0x5d5214b0u, 0x05c7fc5du, 0xe40a9262u, 0x56604140u, 0x633527c1u, 0xd02be0d5u, 0xf60cc2adu}); +jet_node[MULTIPLY_32].cmr = mkJetCMR((uint32_t[8]){0x161fd03au, 0x92c621b3u, 0x289849ffu, 0x29ad8134u, 0x99d63ed9u, 0x73db0e97u, 0x51785421u, 0xf568d18fu}); +jet_node[NEW_ISSUANCE_CONTRACT].cmr = mkJetCMR((uint32_t[8]){0x8d58d77au, 0x39e4f12du, 0x602e9c01u, 0x2b0acf2au, 0xb0d91cbbu, 0x1f120d8cu, 0x254f970cu, 0x3be155c9u}); +jet_node[NONCE_HASH].cmr = mkJetCMR((uint32_t[8]){0x92f8c926u, 0xa3591643u, 0x1e3e4721u, 0xf7cabd52u, 0xd0e6558du, 0xa58ae7a9u, 0xaf6ae43fu, 0x16272962u}); +jet_node[NUM_INPUTS].cmr = mkJetCMR((uint32_t[8]){0x62e1c7beu, 0xc39f56f2u, 0x72f33523u, 0x407406ecu, 0x2d35197au, 0x68830710u, 0x788b2691u, 0xc41e13eau}); +jet_node[NUM_OUTPUTS].cmr = mkJetCMR((uint32_t[8]){0xf1676ef7u, 0xb7d0c38eu, 0x16c9fd1bu, 0x6e91614eu, 0x1277d87cu, 0x55171fd4u, 0xe08d5bacu, 0xd3d7ec46u}); +jet_node[ONE_32].cmr = mkJetCMR((uint32_t[8]){0x4526099du, 0x0f840ba6u, 0xabe55ed9u, 0xf3a9b8fcu, 0xa084f251u, 0xbfb26d01u, 0x1cf7af27u, 0xb0d88e29u}); +jet_node[OUTPOINT_HASH].cmr = mkJetCMR((uint32_t[8]){0x29c59ce6u, 0xff4ffb32u, 0xa956a2e3u, 0xd01ff70au, 0x9310d70cu, 0x850ca505u, 0x6dd3603bu, 0xe1b0c3b2u}); +jet_node[OUTPUT_AMOUNT].cmr = mkJetCMR((uint32_t[8]){0x1d89d574u, 0x43883c2fu, 0x75587779u, 0x77c64800u, 0x8d804bd7u, 0x4d832886u, 0xba782a79u, 0x2a42eb97u}); +jet_node[OUTPUT_AMOUNTS_HASH].cmr = mkJetCMR((uint32_t[8]){0x66420c81u, 0x6dc6c5c7u, 0xc01b397du, 0x8a767ad2u, 0xfcf78f46u, 0x4636f82fu, 0xcddb1f9fu, 0x6ce26f85u}); +jet_node[OUTPUT_ASSET].cmr = mkJetCMR((uint32_t[8]){0x7c1be544u, 0x01fa1f2du, 0xf572ce8cu, 0x247f589du, 0xcb659e8cu, 0x5976660du, 0x80c6610au, 0x19ac39a9u}); +jet_node[OUTPUT_NONCE].cmr = mkJetCMR((uint32_t[8]){0xd90e3f0au, 0x28b49f81u, 0x45bf98c7u, 0x5f16df34u, 0xfceff1eeu, 0x9e2e81f9u, 0xb60f07a8u, 0x86c96766u}); +jet_node[OUTPUT_NONCES_HASH].cmr = mkJetCMR((uint32_t[8]){0xaa72b3e6u, 0xbc0d1e90u, 0x85f641aeu, 0x78a97d6bu, 0x59ad91c4u, 0x4b1913ddu, 0x8d62c663u, 0x5b0e8d35u}); +jet_node[OUTPUT_NULL_DATUM].cmr = mkJetCMR((uint32_t[8]){0xc23d25ccu, 0x33adb741u, 0x165f8cf5u, 0x6844af57u, 0x85aedf4eu, 0x4e28cdbcu, 0x3bad1933u, 0x2991657du}); +jet_node[OUTPUT_RANGE_PROOF].cmr = mkJetCMR((uint32_t[8]){0x4eb409bfu, 0x1dac48cau, 0x1c62ab42u, 0x59a97c09u, 0x1e927ebeu, 0xbedff069u, 0xdb5d224eu, 0x0dde3dc2u}); +jet_node[OUTPUT_RANGE_PROOFS_HASH].cmr = mkJetCMR((uint32_t[8]){0x748e9728u, 0xbf3e5448u, 0x65fbb248u, 0x9f5a5e1fu, 0x97c9608cu, 0xe612fb04u, 0xcf17ef1cu, 0x4422a31cu}); +jet_node[OUTPUT_SCRIPT_HASH].cmr = mkJetCMR((uint32_t[8]){0xfd0ceb21u, 0x139d0777u, 0xa4a61f05u, 0xa5dc1fdau, 0xa761f6fdu, 0xf2547812u, 0x2be9e060u, 0xea218635u}); +jet_node[OUTPUT_SCRIPTS_HASH].cmr = mkJetCMR((uint32_t[8]){0x74593e1du, 0xb1630af9u, 0xf1a095d2u, 0x0f4405e0u, 0xea8a90e9u, 0x8b727b9au, 0xf19f8c47u, 0x2cb7e91fu}); +jet_node[OUTPUT_SURJECTION_PROOF].cmr = mkJetCMR((uint32_t[8]){0x10997818u, 0xdc55d395u, 0xc9df5997u, 0x93ebdbcau, 0xcb277c70u, 0x104f83a0u, 0x04968867u, 0xe894b6f9u}); +jet_node[OUTPUT_SURJECTION_PROOFS_HASH].cmr = mkJetCMR((uint32_t[8]){0x681e44cbu, 0xcccc5e20u, 0x5da42337u, 0x54ca57d5u, 0x7308af6bu, 0x06daec3eu, 0x8fa5741eu, 0xcf8370cau}); +jet_node[OUTPUTS_HASH].cmr = mkJetCMR((uint32_t[8]){0x3ca8f6c1u, 0xcfa4f7cfu, 0x0198372au, 0x4819dfb1u, 0x17f38fa6u, 0x38d05033u, 0x89f125cau, 0xb7d60619u}); +jet_node[PARSE_LOCK].cmr = mkJetCMR((uint32_t[8]){0xd5969c25u, 0xb56e87b4u, 0xfb2880eau, 0xee90cc94u, 0x49faa2f3u, 0xd0760de9u, 0xfee565dfu, 0xcf6a16c6u}); +jet_node[PARSE_SEQUENCE].cmr = mkJetCMR((uint32_t[8]){0x04b95bbeu, 0x881e1a6bu, 0x419f8288u, 0x3ff073eau, 0xdbc14f2cu, 0x8c56b36fu, 0x19dcecacu, 0x27e7737fu}); +jet_node[POINT_VERIFY_1].cmr = mkJetCMR((uint32_t[8]){0x91912237u, 0x471787c5u, 0xff2bdbd9u, 0x41bcebdau, 0xee90a225u, 0x243c6a86u, 0x85dd5f81u, 0x22dc66bau}); +jet_node[REISSUANCE_BLINDING].cmr = mkJetCMR((uint32_t[8]){0xa22d032bu, 0xd97da2b2u, 0x9fc62d88u, 0xe0497950u, 0x6c2f59d8u, 0xfec8add8u, 0x99a9fb99u, 0x07f49aa9u}); +jet_node[REISSUANCE_ENTROPY].cmr = mkJetCMR((uint32_t[8]){0xddc1317eu, 0xddd9f6d8u, 0xb48cf758u, 0x99827befu, 0xe3ae5ffbu, 0x4ea2ddfdu, 0x25a95284u, 0x8d8279ecu}); +jet_node[SCALAR_ADD].cmr = mkJetCMR((uint32_t[8]){0x67e41fadu, 0x704500ceu, 0x97509132u, 0xd4f69734u, 0x2e8583edu, 0x7e9f7bedu, 0xb995d36cu, 0xf65ff32eu}); +jet_node[SCALAR_INVERT].cmr = mkJetCMR((uint32_t[8]){0xc0e2ad1bu, 0xa6bfd910u, 0x4424f594u, 0xd0073ea1u, 0x99405e5cu, 0xa5b71283u, 0x94b613b9u, 0xe1bd36fcu}); +jet_node[SCALAR_IS_ZERO].cmr = mkJetCMR((uint32_t[8]){0x38a457cau, 0xb1c30c51u, 0x4e20e241u, 0xd5846540u, 0x75ec4d05u, 0x496c7e0bu, 0x1ce2de5eu, 0x2fc19916u}); +jet_node[SCALAR_MULTIPLY].cmr = mkJetCMR((uint32_t[8]){0x14513cf4u, 0x41179e62u, 0xfb4293bbu, 0x353ee5bfu, 0x01eddf8du, 0x81ce0310u, 0x062f09a8u, 0x1d2fbca8u}); +jet_node[SCALAR_MULTIPLY_LAMBDA].cmr = mkJetCMR((uint32_t[8]){0xf62400f5u, 0xbe7400a7u, 0x12e74a1du, 0xc1a841e6u, 0x024a9618u, 0x551c3364u, 0xc4e8156du, 0x1cdded83u}); +jet_node[SCALAR_NEGATE].cmr = mkJetCMR((uint32_t[8]){0x6a976a67u, 0x68bd728fu, 0xe2105185u, 0x1c60eb25u, 0x72e5d06cu, 0x95566dfau, 0xe92820c8u, 0x424aaa4eu}); +jet_node[SCALAR_NORMALIZE].cmr = mkJetCMR((uint32_t[8]){0x90e02578u, 0x96990ba6u, 0xf0b07654u, 0x2919cd06u, 0x4ac08b27u, 0x7fae3479u, 0xe40918ebu, 0x6f5b07d8u}); +jet_node[SCALAR_SQUARE].cmr = mkJetCMR((uint32_t[8]){0xd636b49du, 0xc6b2266cu, 0xcecb7bc0u, 0x4168823bu, 0x2a5d7a1du, 0x2ac343dau, 0x605419d3u, 0x8dfdfde0u}); +jet_node[SCALE].cmr = mkJetCMR((uint32_t[8]){0xa18fe40du, 0x7a5cea9au, 0x0288b7bdu, 0xbaa1bfadu, 0x4f475f4du, 0x1ad77a3au, 0x883fa3c8u, 0x22d68838u}); +jet_node[SCRIPT_CMR].cmr = mkJetCMR((uint32_t[8]){0x14fdb52du, 0xeb9eddffu, 0x273a4c80u, 0xdd7f2393u, 0x3516f7e8u, 0xaae76de7u, 0x1721af01u, 0x9c125f4au}); +jet_node[SHA_256_BLOCK].cmr = mkJetCMR((uint32_t[8]){0xdfc927d3u, 0x9bf7147au, 0x8b0a7f43u, 0x79466870u, 0x824db102u, 0x090a0036u, 0x2923a377u, 0xa91af681u}); +jet_node[SHA_256_CTX_8_ADD_1].cmr = mkJetCMR((uint32_t[8]){0x2ecd3dbeu, 0x41e1fb41u, 0x7d2421ddu, 0x07ef6e6eu, 0xdbadb882u, 0x698161ebu, 0xccf6caf0u, 0xeeb99830u}); +jet_node[SHA_256_CTX_8_ADD_128].cmr = mkJetCMR((uint32_t[8]){0x3d5d67e2u, 0x7efc25a7u, 0x2da6186du, 0x2a6fa106u, 0xe7574357u, 0xb1f876fau, 0x6879a611u, 0x3682b735u}); +jet_node[SHA_256_CTX_8_ADD_16].cmr = mkJetCMR((uint32_t[8]){0x7ba6efb6u, 0x92a191e4u, 0xddd7a584u, 0x1d5a063du, 0x6aa3f0cfu, 0xcd16fd84u, 0xdeff5d1fu, 0x3b3b08cbu}); +jet_node[SHA_256_CTX_8_ADD_2].cmr = mkJetCMR((uint32_t[8]){0x123c7d8cu, 0xe539d8abu, 0xc6dac5f9u, 0x9ce82339u, 0xb9564168u, 0xe6564337u, 0x285e8982u, 0x4a239f33u}); +jet_node[SHA_256_CTX_8_ADD_256].cmr = mkJetCMR((uint32_t[8]){0x76e2b4fcu, 0xa54b4d7au, 0x390b92b0u, 0xf0e12049u, 0x1de86dfeu, 0xa6e96258u, 0x80972392u, 0xb1f5384cu}); +jet_node[SHA_256_CTX_8_ADD_32].cmr = mkJetCMR((uint32_t[8]){0xa4d639e4u, 0xec73399du, 0x31939ce3u, 0xc02506d1u, 0xd23a2029u, 0x3bb95ab3u, 0x7cb87da2u, 0xb187c6f8u}); +jet_node[SHA_256_CTX_8_ADD_4].cmr = mkJetCMR((uint32_t[8]){0x8a41bfb6u, 0x24295a3du, 0x8f67dc5bu, 0xda5e7c7du, 0x97c9cc30u, 0x21d381ceu, 0x8b047b3du, 0x79d187c9u}); +jet_node[SHA_256_CTX_8_ADD_512].cmr = mkJetCMR((uint32_t[8]){0x2c809915u, 0x75654b3du, 0x81658dcau, 0xdea51949u, 0xcc182530u, 0xaf7e9f41u, 0xee5b93fcu, 0x33f0c80fu}); +jet_node[SHA_256_CTX_8_ADD_64].cmr = mkJetCMR((uint32_t[8]){0x10ae937fu, 0x669700d3u, 0x21550153u, 0xd4602520u, 0x8c0370dau, 0x866dd3d4u, 0xc9b34d42u, 0x2ccc2cc8u}); +jet_node[SHA_256_CTX_8_ADD_8].cmr = mkJetCMR((uint32_t[8]){0x48d6974cu, 0xd36c376cu, 0x4bd260d1u, 0x1ff62e74u, 0x2076934eu, 0xc3108d9fu, 0x8ff27fb4u, 0x54e4945fu}); +jet_node[SHA_256_CTX_8_ADD_BUFFER_511].cmr = mkJetCMR((uint32_t[8]){0x3d599f24u, 0xf3b1533cu, 0x8664c405u, 0x04dc39bfu, 0xc5756f2du, 0x9a6a4d0du, 0x65be299eu, 0x88b4a6d5u}); +jet_node[SHA_256_CTX_8_FINALIZE].cmr = mkJetCMR((uint32_t[8]){0x8c44d930u, 0x4f8f85e8u, 0x56649063u, 0xf7842ac5u, 0xa6e80fd3u, 0x7a0141c9u, 0xffde742fu, 0xbe8c9ff8u}); +jet_node[SHA_256_CTX_8_INIT].cmr = mkJetCMR((uint32_t[8]){0x88db035au, 0x490da789u, 0x30f75e6eu, 0x1b10aa86u, 0x8bd47593u, 0xc674f3bcu, 0x4bb62422u, 0x5313e3bau}); +jet_node[SHA_256_IV].cmr = mkJetCMR((uint32_t[8]){0xe4d596e0u, 0x0ff0f7dfu, 0x3d9969d8u, 0x2cb1634du, 0x59eb9d0fu, 0x4b24d8cau, 0x72e848c1u, 0x0c75244cu}); +jet_node[SIG_ALL_HASH].cmr = mkJetCMR((uint32_t[8]){0x7e988937u, 0x0bfb1355u, 0xa06bd31au, 0xc260dafcu, 0xa821dcceu, 0xa8874319u, 0xc414914eu, 0x65c6da8au}); +jet_node[SUBTRACT_32].cmr = mkJetCMR((uint32_t[8]){0xf76ecad1u, 0xfda50f13u, 0x5bdfe3e5u, 0x33a15009u, 0x8f406261u, 0xc76f6dbfu, 0x6725f1e3u, 0x883c2ae2u}); +jet_node[TAP_ENV_HASH].cmr = mkJetCMR((uint32_t[8]){0xa218f1b2u, 0x5e78c6a8u, 0xf0f463d4u, 0x0dbebc4au, 0x1b093570u, 0x6395eeb4u, 0x2083857eu, 0xa51b2d1bu}); +jet_node[TAPBRANCH].cmr = mkJetCMR((uint32_t[8]){0x48e904d2u, 0x7d9b04b5u, 0x408da2c8u, 0x8fca0968u, 0x2d19cff5u, 0x64cbe52eu, 0xd1e55b91u, 0x26b21e3bu}); +jet_node[TAPBRANCH_HASH].cmr = mkJetCMR((uint32_t[8]){0xcff7514au, 0xee349b39u, 0x3008ef3au, 0xe35c1108u, 0xc8968e29u, 0xa2678c49u, 0xe00dbbbfu, 0x3783641au}); +jet_node[TAPLEAF_HASH].cmr = mkJetCMR((uint32_t[8]){0x71e4b558u, 0xf6187b6cu, 0xbf5722d3u, 0x788f6c88u, 0x9aff4e93u, 0x8b9c9e1cu, 0x59247feau, 0xfa7edda0u}); +jet_node[TAPLEAF_VERSION].cmr = mkJetCMR((uint32_t[8]){0x55a2f515u, 0x24711dfau, 0xdac02158u, 0xb3634a66u, 0x5ad484cdu, 0x7f3a6a30u, 0x0d336424u, 0xe144d335u}); +jet_node[TX_HASH].cmr = mkJetCMR((uint32_t[8]){0x384ca8ddu, 0xecbfa0a9u, 0xcfc4011au, 0x3c4640b0u, 0x0f1be357u, 0xf02bca03u, 0x5dfb6e15u, 0x7395b9d8u}); +jet_node[TX_IS_FINAL].cmr = mkJetCMR((uint32_t[8]){0xfe406277u, 0x096b0cd2u, 0x1cc383e0u, 0x110e244cu, 0x246f9571u, 0x05e94bb8u, 0x13ec75fbu, 0xebc97f92u}); +jet_node[TX_LOCK_DISTANCE].cmr = mkJetCMR((uint32_t[8]){0xccfdc62au, 0xed510ca0u, 0xdaeeffb5u, 0x0c6dabc1u, 0x1c03c40cu, 0x30c5c0fdu, 0xb5bb57a6u, 0xf5a8c2a3u}); +jet_node[TX_LOCK_DURATION].cmr = mkJetCMR((uint32_t[8]){0x8526e3d4u, 0x3f43bd2bu, 0x4b1985c0u, 0xb9301d9au, 0x98290167u, 0xe587e5c3u, 0xcf135bc6u, 0xb1231346u}); +jet_node[TX_LOCK_HEIGHT].cmr = mkJetCMR((uint32_t[8]){0xf94f86a6u, 0xf07995ddu, 0xcdf8ccafu, 0xdeea8e58u, 0x450bcac4u, 0xde783597u, 0xf86ab089u, 0xeb64f7fcu}); +jet_node[TX_LOCK_TIME].cmr = mkJetCMR((uint32_t[8]){0xd44ce14cu, 0xcfb3a1bcu, 0xb71210c0u, 0xa2e15bc9u, 0xf5c9a251u, 0x29a037beu, 0x483f16c3u, 0xa505db59u}); +jet_node[VERIFY].cmr = mkJetCMR((uint32_t[8]){0xa17534a4u, 0x9acbecb1u, 0x554d6ec5u, 0xc6da50c2u, 0x8c9cd95eu, 0xa0b44886u, 0xb8e094adu, 0xa777c1d4u}); +jet_node[VERSION].cmr = mkJetCMR((uint32_t[8]){0xd3cadcbdu, 0xaf57f8e5u, 0xb48eb763u, 0x8c75438du, 0x67376c79u, 0xb4cf70b2u, 0x582e32d9u, 0x31c42cdfu}); diff --git a/primitive/elements/primitiveInitTy.inc b/primitive/elements/primitiveInitTy.inc new file mode 100644 index 00000000000..b4f470d86c1 --- /dev/null +++ b/primitive/elements/primitiveInitTy.inc @@ -0,0 +1,107 @@ +/* This file has been automatically generated. */ +(*bound_var)[ty_u] = (unification_var){ .isBound = true, .bound = { .kind = ONE }}; +(*bound_var)[ty_b] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_u] } }}; +(*bound_var)[ty_w2] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_b], &(*bound_var)[ty_b] } }}; +(*bound_var)[ty_w4] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w2], &(*bound_var)[ty_w2] } }}; +(*bound_var)[ty_w8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w4], &(*bound_var)[ty_w4] } }}; +(*bound_var)[ty_w16] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w8], &(*bound_var)[ty_w8] } }}; +(*bound_var)[ty_w32] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w16], &(*bound_var)[ty_w16] } }}; +(*bound_var)[ty_w64] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w32], &(*bound_var)[ty_w32] } }}; +(*bound_var)[ty_w128] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w64], &(*bound_var)[ty_w64] } }}; +(*bound_var)[ty_w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w128], &(*bound_var)[ty_w128] } }}; +(*bound_var)[ty_w512] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w256], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_w1Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w512], &(*bound_var)[ty_w512] } }}; +(*bound_var)[ty_w2Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w1Ki], &(*bound_var)[ty_w1Ki] } }}; +(*bound_var)[ty_w4Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w2Ki], &(*bound_var)[ty_w2Ki] } }}; +(*bound_var)[ty_w8Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w4Ki], &(*bound_var)[ty_w4Ki] } }}; +(*bound_var)[ty_w16Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w8Ki], &(*bound_var)[ty_w8Ki] } }}; +(*bound_var)[ty_w32Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w16Ki], &(*bound_var)[ty_w16Ki] } }}; +(*bound_var)[ty_w64Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w32Ki], &(*bound_var)[ty_w32Ki] } }}; +(*bound_var)[ty_w128Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w64Ki], &(*bound_var)[ty_w64Ki] } }}; +(*bound_var)[ty_w256Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w128Ki], &(*bound_var)[ty_w128Ki] } }}; +(*bound_var)[ty_w512Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w256Ki], &(*bound_var)[ty_w256Ki] } }}; +(*bound_var)[ty_w1Mi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w512Ki], &(*bound_var)[ty_w512Ki] } }}; +(*bound_var)[ty_w2Mi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w1Mi], &(*bound_var)[ty_w1Mi] } }}; +(*bound_var)[ty_w4Mi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w2Mi], &(*bound_var)[ty_w2Mi] } }}; +(*bound_var)[ty_w8Mi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w4Mi], &(*bound_var)[ty_w4Mi] } }}; +(*bound_var)[ty_w16Mi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w8Mi], &(*bound_var)[ty_w8Mi] } }}; +(*bound_var)[ty_w32Mi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w16Mi], &(*bound_var)[ty_w16Mi] } }}; +(*bound_var)[ty_w64Mi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w32Mi], &(*bound_var)[ty_w32Mi] } }}; +(*bound_var)[ty_w128Mi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w64Mi], &(*bound_var)[ty_w64Mi] } }}; +(*bound_var)[ty_w256Mi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w128Mi], &(*bound_var)[ty_w128Mi] } }}; +(*bound_var)[ty_w512Mi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w256Mi], &(*bound_var)[ty_w256Mi] } }}; +(*bound_var)[ty_w1Gi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w512Mi], &(*bound_var)[ty_w512Mi] } }}; +(*bound_var)[ty_w2Gi] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w1Gi], &(*bound_var)[ty_w1Gi] } }}; +(*bound_var)[ty_mb] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_b] } }}; +(*bound_var)[ty_mw8] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_w8] } }}; +(*bound_var)[ty_mw16] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_w16] } }}; +(*bound_var)[ty_mw32] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_w32] } }}; +(*bound_var)[ty_mw64] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_w64] } }}; +(*bound_var)[ty_mw128] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_w128] } }}; +(*bound_var)[ty_mw256] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_mw512] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_w512] } }}; +(*bound_var)[ty_mw1Ki] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_w1Ki] } }}; +(*bound_var)[ty_mw2Ki] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_w2Ki] } }}; +(*bound_var)[ty_mmb] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_mb] } }}; +(*bound_var)[ty_mmw256] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_mw256] } }}; +(*bound_var)[ty_mmspbw256w64] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_mspbw256w64] } }}; +(*bound_var)[ty_mmspbw256w256] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_mspbw256w256] } }}; +(*bound_var)[ty_mmspw2w256sbw4] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_mspw2w256sbw4] } }}; +(*bound_var)[ty_msw16w16] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_sw16w16] } }}; +(*bound_var)[ty_mspbw256w64] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_spbw256w64] } }}; +(*bound_var)[ty_mspbw256w256] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_spbw256w256] } }}; +(*bound_var)[ty_mspw2w256sbw4] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_spw2w256sbw4] } }}; +(*bound_var)[ty_mpw256w32] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_pw256w32] } }}; +(*bound_var)[ty_mpspbw256w256spbw256w64] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_u], &(*bound_var)[ty_pspbw256w256spbw256w64] } }}; +(*bound_var)[ty_sbw4] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_b], &(*bound_var)[ty_w4] } }}; +(*bound_var)[ty_sw16w16] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_w16], &(*bound_var)[ty_w16] } }}; +(*bound_var)[ty_sw32w32] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_w32], &(*bound_var)[ty_w32] } }}; +(*bound_var)[ty_spbw256w64] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_pbw256], &(*bound_var)[ty_w64] } }}; +(*bound_var)[ty_spbw256w256] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_pbw256], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_spw2w256sbw4] = (unification_var){ .isBound = true, .bound = { .kind = SUM, .arg = { &(*bound_var)[ty_pw2w256], &(*bound_var)[ty_sbw4] } }}; +(*bound_var)[ty_pbw32] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_b], &(*bound_var)[ty_w32] } }}; +(*bound_var)[ty_pbw64] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_b], &(*bound_var)[ty_w64] } }}; +(*bound_var)[ty_pbw256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_b], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_pw2w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w2], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_pw64w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w64], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_pw256w32] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w256], &(*bound_var)[ty_w32] } }}; +(*bound_var)[ty_pw256w512] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w256], &(*bound_var)[ty_w512] } }}; +(*bound_var)[ty_pw256pbw256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w256], &(*bound_var)[ty_pbw256] } }}; +(*bound_var)[ty_pw256pw512w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w256], &(*bound_var)[ty_pw512w256] } }}; +(*bound_var)[ty_pw512w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_w512], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_pmw16mw8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_mw16], &(*bound_var)[ty_mw8] } }}; +(*bound_var)[ty_pmw32pmw16mw8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_mw32], &(*bound_var)[ty_pmw16mw8] } }}; +(*bound_var)[ty_pmw64pmw32pmw16mw8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_mw64], &(*bound_var)[ty_pmw32pmw16mw8] } }}; +(*bound_var)[ty_pmw128pmw64pmw32pmw16mw8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_mw128], &(*bound_var)[ty_pmw64pmw32pmw16mw8] } }}; +(*bound_var)[ty_pmw256pw256w32] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_mw256], &(*bound_var)[ty_pw256w32] } }}; +(*bound_var)[ty_pmw256pmw128pmw64pmw32pmw16mw8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_mw256], &(*bound_var)[ty_pmw128pmw64pmw32pmw16mw8] } }}; +(*bound_var)[ty_pmw512pmw256pmw128pmw64pmw32pmw16mw8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_mw512], &(*bound_var)[ty_pmw256pmw128pmw64pmw32pmw16mw8] } }}; +(*bound_var)[ty_pmw1Kipmw512pmw256pmw128pmw64pmw32pmw16mw8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_mw1Ki], &(*bound_var)[ty_pmw512pmw256pmw128pmw64pmw32pmw16mw8] } }}; +(*bound_var)[ty_pmw2Kipmw1Kipmw512pmw256pmw128pmw64pmw32pmw16mw8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_mw2Ki], &(*bound_var)[ty_pmw1Kipmw512pmw256pmw128pmw64pmw32pmw16mw8] } }}; +(*bound_var)[ty_pspbw256w256spbw256w64] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_spbw256w256], &(*bound_var)[ty_spbw256w64] } }}; +(*bound_var)[ty_ppw256w32w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_pw256w32], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_ppw256w512w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_pw256w512], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_ppw256w512w512] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_pw256w512], &(*bound_var)[ty_w512] } }}; +(*bound_var)[ty_ppw256pbw256w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_pw256pbw256], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_ppw256pw512w256w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_pw256pw512w256], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_ppw512w256w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_pw512w256], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_ppw512w256w512] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_pw512w256], &(*bound_var)[ty_w512] } }}; +(*bound_var)[ty_ppw512w256pw512w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_pw512w256], &(*bound_var)[ty_pw512w256] } }}; +(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_pmw256pmw128pmw64pmw32pmw16mw8], &(*bound_var)[ty_pw64w256] } }}; +(*bound_var)[ty_pppw256w512w256w512] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppw256w512w256], &(*bound_var)[ty_w512] } }}; +(*bound_var)[ty_pppw256pbw256w256pbw256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppw256pbw256w256], &(*bound_var)[ty_pbw256] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_w8] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w16] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_w16] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w32] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_w32] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w64] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_w64] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w128] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_w128] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_w256] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w512] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_w512] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w1Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_w1Ki] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w2Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_w2Ki] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w4Ki] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_w4Ki] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256mw256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_mw256] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256mspbw256w256] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_mspbw256w256] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256pmw256pw256w32] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_pmw256pw256w32] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256pmw2Kipmw1Kipmw512pmw256pmw128pmw64pmw32pmw16mw8] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_pmw2Kipmw1Kipmw512pmw256pmw128pmw64pmw32pmw16mw8] } }}; +(*bound_var)[ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256pspbw256w256spbw256w64] = (unification_var){ .isBound = true, .bound = { .kind = PRODUCT, .arg = { &(*bound_var)[ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256], &(*bound_var)[ty_pspbw256w256spbw256w64] } }}; diff --git a/primitive/elements/primitiveJetNode.inc b/primitive/elements/primitiveJetNode.inc new file mode 100644 index 00000000000..415e5dd6877 --- /dev/null +++ b/primitive/elements/primitiveJetNode.inc @@ -0,0 +1,979 @@ +/* This file has been automatically generated. */ +[ADD_32] = +{ .tag = JET +, .jet = add_32 +, .sourceIx = ty_w64 +, .targetIx = ty_pbw32 +} +,[ANNEX_HASH] = +{ .tag = JET +, .jet = annex_hash +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256mw256 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[ASSET_AMOUNT_HASH] = +{ .tag = JET +, .jet = asset_amount_hash +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256pspbw256w256spbw256w64 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[BIP_0340_VERIFY] = +{ .tag = JET +, .jet = bip_0340_verify +, .sourceIx = ty_w1Ki +, .targetIx = ty_u +} +,[BUILD_TAPBRANCH] = +{ .tag = JET +, .jet = build_tapbranch +, .sourceIx = ty_w512 +, .targetIx = ty_w256 +} +,[BUILD_TAPLEAF_SIMPLICITY] = +{ .tag = JET +, .jet = build_tapleaf_simplicity +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[CALCULATE_ASSET] = +{ .tag = JET +, .jet = calculate_asset +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[CALCULATE_CONFIDENTIAL_TOKEN] = +{ .tag = JET +, .jet = calculate_confidential_token +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[CALCULATE_EXPLICIT_TOKEN] = +{ .tag = JET +, .jet = calculate_explicit_token +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[CALCULATE_ISSUANCE_ENTROPY] = +{ .tag = JET +, .jet = calculate_issuance_entropy +, .sourceIx = ty_ppw256w32w256 +, .targetIx = ty_w256 +} +,[CHECK_LOCK_DISTANCE] = +{ .tag = JET +, .jet = check_lock_distance +, .sourceIx = ty_w16 +, .targetIx = ty_u +} +,[CHECK_LOCK_DURATION] = +{ .tag = JET +, .jet = check_lock_duration +, .sourceIx = ty_w16 +, .targetIx = ty_u +} +,[CHECK_LOCK_HEIGHT] = +{ .tag = JET +, .jet = check_lock_height +, .sourceIx = ty_w32 +, .targetIx = ty_u +} +,[CHECK_LOCK_TIME] = +{ .tag = JET +, .jet = check_lock_time +, .sourceIx = ty_w32 +, .targetIx = ty_u +} +,[CHECK_SIG_VERIFY] = +{ .tag = JET +, .jet = check_sig_verify +, .sourceIx = ty_ppw256w512w512 +, .targetIx = ty_u +} +,[CURRENT_AMOUNT] = +{ .tag = JET +, .jet = current_amount +, .sourceIx = ty_u +, .targetIx = ty_pspbw256w256spbw256w64 +} +,[CURRENT_ANNEX_HASH] = +{ .tag = JET +, .jet = current_annex_hash +, .sourceIx = ty_u +, .targetIx = ty_mw256 +} +,[CURRENT_ASSET] = +{ .tag = JET +, .jet = current_asset +, .sourceIx = ty_u +, .targetIx = ty_spbw256w256 +} +,[CURRENT_INDEX] = +{ .tag = JET +, .jet = current_index +, .sourceIx = ty_u +, .targetIx = ty_w32 +} +,[CURRENT_ISSUANCE_ASSET_AMOUNT] = +{ .tag = JET +, .jet = current_issuance_asset_amount +, .sourceIx = ty_u +, .targetIx = ty_mspbw256w64 +} +,[CURRENT_ISSUANCE_ASSET_PROOF] = +{ .tag = JET +, .jet = current_issuance_asset_proof +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[CURRENT_ISSUANCE_TOKEN_AMOUNT] = +{ .tag = JET +, .jet = current_issuance_token_amount +, .sourceIx = ty_u +, .targetIx = ty_mspbw256w64 +} +,[CURRENT_ISSUANCE_TOKEN_PROOF] = +{ .tag = JET +, .jet = current_issuance_token_proof +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[CURRENT_NEW_ISSUANCE_CONTRACT] = +{ .tag = JET +, .jet = current_new_issuance_contract +, .sourceIx = ty_u +, .targetIx = ty_mw256 +} +,[CURRENT_PEGIN] = +{ .tag = JET +, .jet = current_pegin +, .sourceIx = ty_u +, .targetIx = ty_mw256 +} +,[CURRENT_PREV_OUTPOINT] = +{ .tag = JET +, .jet = current_prev_outpoint +, .sourceIx = ty_u +, .targetIx = ty_pw256w32 +} +,[CURRENT_REISSUANCE_BLINDING] = +{ .tag = JET +, .jet = current_reissuance_blinding +, .sourceIx = ty_u +, .targetIx = ty_mw256 +} +,[CURRENT_REISSUANCE_ENTROPY] = +{ .tag = JET +, .jet = current_reissuance_entropy +, .sourceIx = ty_u +, .targetIx = ty_mw256 +} +,[CURRENT_SCRIPT_HASH] = +{ .tag = JET +, .jet = current_script_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[CURRENT_SCRIPT_SIG_HASH] = +{ .tag = JET +, .jet = current_script_sig_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[CURRENT_SEQUENCE] = +{ .tag = JET +, .jet = current_sequence +, .sourceIx = ty_u +, .targetIx = ty_w32 +} +,[DECOMPRESS] = +{ .tag = JET +, .jet = decompress +, .sourceIx = ty_pbw256 +, .targetIx = ty_mw512 +} +,[EQ_256] = +{ .tag = JET +, .jet = eq_256 +, .sourceIx = ty_w512 +, .targetIx = ty_b +} +,[EQ_32] = +{ .tag = JET +, .jet = eq_32 +, .sourceIx = ty_w64 +, .targetIx = ty_b +} +,[FE_ADD] = +{ .tag = JET +, .jet = fe_add +, .sourceIx = ty_w512 +, .targetIx = ty_w256 +} +,[FE_INVERT] = +{ .tag = JET +, .jet = fe_invert +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[FE_IS_ODD] = +{ .tag = JET +, .jet = fe_is_odd +, .sourceIx = ty_w256 +, .targetIx = ty_b +} +,[FE_IS_ZERO] = +{ .tag = JET +, .jet = fe_is_zero +, .sourceIx = ty_w256 +, .targetIx = ty_b +} +,[FE_MULTIPLY] = +{ .tag = JET +, .jet = fe_multiply +, .sourceIx = ty_w512 +, .targetIx = ty_w256 +} +,[FE_MULTIPLY_BETA] = +{ .tag = JET +, .jet = fe_multiply_beta +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[FE_NEGATE] = +{ .tag = JET +, .jet = fe_negate +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[FE_NORMALIZE] = +{ .tag = JET +, .jet = fe_normalize +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[FE_SQUARE] = +{ .tag = JET +, .jet = fe_square +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[FE_SQUARE_ROOT] = +{ .tag = JET +, .jet = fe_square_root +, .sourceIx = ty_w256 +, .targetIx = ty_mw256 +} +,[FULL_ADD_32] = +{ .tag = JET +, .jet = full_add_32 +, .sourceIx = ty_pbw64 +, .targetIx = ty_pbw32 +} +,[FULL_MULTIPLY_32] = +{ .tag = JET +, .jet = full_multiply_32 +, .sourceIx = ty_w128 +, .targetIx = ty_w64 +} +,[FULL_SUBTRACT_32] = +{ .tag = JET +, .jet = full_subtract_32 +, .sourceIx = ty_pbw64 +, .targetIx = ty_pbw32 +} +,[GE_IS_ON_CURVE] = +{ .tag = JET +, .jet = ge_is_on_curve +, .sourceIx = ty_w512 +, .targetIx = ty_b +} +,[GE_NEGATE] = +{ .tag = JET +, .jet = ge_negate +, .sourceIx = ty_w512 +, .targetIx = ty_w512 +} +,[GEJ_ADD] = +{ .tag = JET +, .jet = gej_add +, .sourceIx = ty_ppw512w256pw512w256 +, .targetIx = ty_pw512w256 +} +,[GEJ_DOUBLE] = +{ .tag = JET +, .jet = gej_double +, .sourceIx = ty_pw512w256 +, .targetIx = ty_pw512w256 +} +,[GEJ_GE_ADD] = +{ .tag = JET +, .jet = gej_ge_add +, .sourceIx = ty_ppw512w256w512 +, .targetIx = ty_pw512w256 +} +,[GEJ_GE_ADD_EX] = +{ .tag = JET +, .jet = gej_ge_add_ex +, .sourceIx = ty_ppw512w256w512 +, .targetIx = ty_pw256pw512w256 +} +,[GEJ_INFINITY] = +{ .tag = JET +, .jet = gej_infinity +, .sourceIx = ty_u +, .targetIx = ty_pw512w256 +} +,[GEJ_IS_INFINITY] = +{ .tag = JET +, .jet = gej_is_infinity +, .sourceIx = ty_pw512w256 +, .targetIx = ty_b +} +,[GEJ_IS_ON_CURVE] = +{ .tag = JET +, .jet = gej_is_on_curve +, .sourceIx = ty_pw512w256 +, .targetIx = ty_b +} +,[GEJ_NEGATE] = +{ .tag = JET +, .jet = gej_negate +, .sourceIx = ty_pw512w256 +, .targetIx = ty_pw512w256 +} +,[GEJ_NORMALIZE] = +{ .tag = JET +, .jet = gej_normalize +, .sourceIx = ty_pw512w256 +, .targetIx = ty_mw512 +} +,[GEJ_RESCALE] = +{ .tag = JET +, .jet = gej_rescale +, .sourceIx = ty_ppw512w256w256 +, .targetIx = ty_pw512w256 +} +,[GEJ_X_EQUIV] = +{ .tag = JET +, .jet = gej_x_equiv +, .sourceIx = ty_pw256pw512w256 +, .targetIx = ty_b +} +,[GEJ_Y_IS_ODD] = +{ .tag = JET +, .jet = gej_y_is_odd +, .sourceIx = ty_pw512w256 +, .targetIx = ty_b +} +,[GENERATE] = +{ .tag = JET +, .jet = generate +, .sourceIx = ty_w256 +, .targetIx = ty_pw512w256 +} +,[GENESIS_BLOCK_HASH] = +{ .tag = JET +, .jet = genesis_block_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[INPUT_AMOUNT] = +{ .tag = JET +, .jet = input_amount +, .sourceIx = ty_w32 +, .targetIx = ty_mpspbw256w256spbw256w64 +} +,[INPUT_AMOUNTS_HASH] = +{ .tag = JET +, .jet = input_amounts_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[INPUT_ANNEX_HASH] = +{ .tag = JET +, .jet = input_annex_hash +, .sourceIx = ty_w32 +, .targetIx = ty_mmw256 +} +,[INPUT_ANNEXES_HASH] = +{ .tag = JET +, .jet = input_annexes_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[INPUT_ASSET] = +{ .tag = JET +, .jet = input_asset +, .sourceIx = ty_w32 +, .targetIx = ty_mspbw256w256 +} +,[INPUT_OUTPOINTS_HASH] = +{ .tag = JET +, .jet = input_outpoints_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[INPUT_PEGIN] = +{ .tag = JET +, .jet = input_pegin +, .sourceIx = ty_w32 +, .targetIx = ty_mmw256 +} +,[INPUT_PREV_OUTPOINT] = +{ .tag = JET +, .jet = input_prev_outpoint +, .sourceIx = ty_w32 +, .targetIx = ty_mpw256w32 +} +,[INPUT_SCRIPT_HASH] = +{ .tag = JET +, .jet = input_script_hash +, .sourceIx = ty_w32 +, .targetIx = ty_mw256 +} +,[INPUT_SCRIPT_SIG_HASH] = +{ .tag = JET +, .jet = input_script_sig_hash +, .sourceIx = ty_w32 +, .targetIx = ty_mw256 +} +,[INPUT_SCRIPT_SIGS_HASH] = +{ .tag = JET +, .jet = input_script_sigs_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[INPUT_SCRIPTS_HASH] = +{ .tag = JET +, .jet = input_scripts_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[INPUT_SEQUENCE] = +{ .tag = JET +, .jet = input_sequence +, .sourceIx = ty_w32 +, .targetIx = ty_mw32 +} +,[INPUT_SEQUENCES_HASH] = +{ .tag = JET +, .jet = input_sequences_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[INPUT_UTXOS_HASH] = +{ .tag = JET +, .jet = input_utxos_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[INPUTS_HASH] = +{ .tag = JET +, .jet = inputs_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[INTERNAL_KEY] = +{ .tag = JET +, .jet = internal_key +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[ISSUANCE] = +{ .tag = JET +, .jet = issuance +, .sourceIx = ty_w32 +, .targetIx = ty_mmb +} +,[ISSUANCE_ASSET] = +{ .tag = JET +, .jet = issuance_asset +, .sourceIx = ty_w32 +, .targetIx = ty_mmw256 +} +,[ISSUANCE_ASSET_AMOUNT] = +{ .tag = JET +, .jet = issuance_asset_amount +, .sourceIx = ty_w32 +, .targetIx = ty_mmspbw256w64 +} +,[ISSUANCE_ASSET_AMOUNTS_HASH] = +{ .tag = JET +, .jet = issuance_asset_amounts_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[ISSUANCE_ASSET_PROOF] = +{ .tag = JET +, .jet = issuance_asset_proof +, .sourceIx = ty_w32 +, .targetIx = ty_mw256 +} +,[ISSUANCE_BLINDING_ENTROPY_HASH] = +{ .tag = JET +, .jet = issuance_blinding_entropy_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[ISSUANCE_ENTROPY] = +{ .tag = JET +, .jet = issuance_entropy +, .sourceIx = ty_w32 +, .targetIx = ty_mmw256 +} +,[ISSUANCE_RANGE_PROOFS_HASH] = +{ .tag = JET +, .jet = issuance_range_proofs_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[ISSUANCE_TOKEN] = +{ .tag = JET +, .jet = issuance_token +, .sourceIx = ty_w32 +, .targetIx = ty_mmw256 +} +,[ISSUANCE_TOKEN_AMOUNT] = +{ .tag = JET +, .jet = issuance_token_amount +, .sourceIx = ty_w32 +, .targetIx = ty_mmspbw256w64 +} +,[ISSUANCE_TOKEN_AMOUNTS_HASH] = +{ .tag = JET +, .jet = issuance_token_amounts_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[ISSUANCE_TOKEN_PROOF] = +{ .tag = JET +, .jet = issuance_token_proof +, .sourceIx = ty_w32 +, .targetIx = ty_mw256 +} +,[ISSUANCES_HASH] = +{ .tag = JET +, .jet = issuances_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[LE_32] = +{ .tag = JET +, .jet = le_32 +, .sourceIx = ty_w64 +, .targetIx = ty_b +} +,[LINEAR_COMBINATION_1] = +{ .tag = JET +, .jet = linear_combination_1 +, .sourceIx = ty_ppw256pw512w256w256 +, .targetIx = ty_pw512w256 +} +,[LINEAR_VERIFY_1] = +{ .tag = JET +, .jet = linear_verify_1 +, .sourceIx = ty_pppw256w512w256w512 +, .targetIx = ty_u +} +,[LOCK_TIME] = +{ .tag = JET +, .jet = lock_time +, .sourceIx = ty_u +, .targetIx = ty_w32 +} +,[LOW_32] = +{ .tag = JET +, .jet = low_32 +, .sourceIx = ty_u +, .targetIx = ty_w32 +} +,[MULTIPLY_32] = +{ .tag = JET +, .jet = multiply_32 +, .sourceIx = ty_w64 +, .targetIx = ty_w64 +} +,[NEW_ISSUANCE_CONTRACT] = +{ .tag = JET +, .jet = new_issuance_contract +, .sourceIx = ty_w32 +, .targetIx = ty_mmw256 +} +,[NONCE_HASH] = +{ .tag = JET +, .jet = nonce_hash +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256mspbw256w256 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[NUM_INPUTS] = +{ .tag = JET +, .jet = num_inputs +, .sourceIx = ty_u +, .targetIx = ty_w32 +} +,[NUM_OUTPUTS] = +{ .tag = JET +, .jet = num_outputs +, .sourceIx = ty_u +, .targetIx = ty_w32 +} +,[ONE_32] = +{ .tag = JET +, .jet = one_32 +, .sourceIx = ty_u +, .targetIx = ty_w32 +} +,[OUTPOINT_HASH] = +{ .tag = JET +, .jet = outpoint_hash +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256pmw256pw256w32 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[OUTPUT_AMOUNT] = +{ .tag = JET +, .jet = output_amount +, .sourceIx = ty_w32 +, .targetIx = ty_mpspbw256w256spbw256w64 +} +,[OUTPUT_AMOUNTS_HASH] = +{ .tag = JET +, .jet = output_amounts_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[OUTPUT_ASSET] = +{ .tag = JET +, .jet = output_asset +, .sourceIx = ty_w32 +, .targetIx = ty_mspbw256w256 +} +,[OUTPUT_NONCE] = +{ .tag = JET +, .jet = output_nonce +, .sourceIx = ty_w32 +, .targetIx = ty_mmspbw256w256 +} +,[OUTPUT_NONCES_HASH] = +{ .tag = JET +, .jet = output_nonces_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[OUTPUT_NULL_DATUM] = +{ .tag = JET +, .jet = output_null_datum +, .sourceIx = ty_w64 +, .targetIx = ty_mmspw2w256sbw4 +} +,[OUTPUT_RANGE_PROOF] = +{ .tag = JET +, .jet = output_range_proof +, .sourceIx = ty_w32 +, .targetIx = ty_mw256 +} +,[OUTPUT_RANGE_PROOFS_HASH] = +{ .tag = JET +, .jet = output_range_proofs_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[OUTPUT_SCRIPT_HASH] = +{ .tag = JET +, .jet = output_script_hash +, .sourceIx = ty_w32 +, .targetIx = ty_mw256 +} +,[OUTPUT_SCRIPTS_HASH] = +{ .tag = JET +, .jet = output_scripts_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[OUTPUT_SURJECTION_PROOF] = +{ .tag = JET +, .jet = output_surjection_proof +, .sourceIx = ty_w32 +, .targetIx = ty_mw256 +} +,[OUTPUT_SURJECTION_PROOFS_HASH] = +{ .tag = JET +, .jet = output_surjection_proofs_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[OUTPUTS_HASH] = +{ .tag = JET +, .jet = outputs_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[PARSE_LOCK] = +{ .tag = JET +, .jet = parse_lock +, .sourceIx = ty_w32 +, .targetIx = ty_sw32w32 +} +,[PARSE_SEQUENCE] = +{ .tag = JET +, .jet = parse_sequence +, .sourceIx = ty_w32 +, .targetIx = ty_msw16w16 +} +,[POINT_VERIFY_1] = +{ .tag = JET +, .jet = point_verify_1 +, .sourceIx = ty_pppw256pbw256w256pbw256 +, .targetIx = ty_u +} +,[REISSUANCE_BLINDING] = +{ .tag = JET +, .jet = reissuance_blinding +, .sourceIx = ty_w32 +, .targetIx = ty_mmw256 +} +,[REISSUANCE_ENTROPY] = +{ .tag = JET +, .jet = reissuance_entropy +, .sourceIx = ty_w32 +, .targetIx = ty_mmw256 +} +,[SCALAR_ADD] = +{ .tag = JET +, .jet = scalar_add +, .sourceIx = ty_w512 +, .targetIx = ty_w256 +} +,[SCALAR_INVERT] = +{ .tag = JET +, .jet = scalar_invert +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[SCALAR_IS_ZERO] = +{ .tag = JET +, .jet = scalar_is_zero +, .sourceIx = ty_w256 +, .targetIx = ty_b +} +,[SCALAR_MULTIPLY] = +{ .tag = JET +, .jet = scalar_multiply +, .sourceIx = ty_w512 +, .targetIx = ty_w256 +} +,[SCALAR_MULTIPLY_LAMBDA] = +{ .tag = JET +, .jet = scalar_multiply_lambda +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[SCALAR_NEGATE] = +{ .tag = JET +, .jet = scalar_negate +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[SCALAR_NORMALIZE] = +{ .tag = JET +, .jet = scalar_normalize +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[SCALAR_SQUARE] = +{ .tag = JET +, .jet = scalar_square +, .sourceIx = ty_w256 +, .targetIx = ty_w256 +} +,[SCALE] = +{ .tag = JET +, .jet = scale +, .sourceIx = ty_pw256pw512w256 +, .targetIx = ty_pw512w256 +} +,[SCRIPT_CMR] = +{ .tag = JET +, .jet = script_cmr +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[SHA_256_BLOCK] = +{ .tag = JET +, .jet = sha_256_block +, .sourceIx = ty_pw256w512 +, .targetIx = ty_w256 +} +,[SHA_256_CTX_8_ADD_1] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_1 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w8 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_ADD_128] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_128 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w1Ki +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_ADD_16] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_16 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w128 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_ADD_2] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_2 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w16 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_ADD_256] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_256 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w2Ki +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_ADD_32] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_32 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w256 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_ADD_4] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_4 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w32 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_ADD_512] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_512 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w4Ki +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_ADD_64] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_64 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w512 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_ADD_8] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_8 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256w64 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_ADD_BUFFER_511] = +{ .tag = JET +, .jet = sha_256_ctx_8_add_buffer_511 +, .sourceIx = ty_pppmw256pmw128pmw64pmw32pmw16mw8pw64w256pmw2Kipmw1Kipmw512pmw256pmw128pmw64pmw32pmw16mw8 +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_CTX_8_FINALIZE] = +{ .tag = JET +, .jet = sha_256_ctx_8_finalize +, .sourceIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +, .targetIx = ty_w256 +} +,[SHA_256_CTX_8_INIT] = +{ .tag = JET +, .jet = sha_256_ctx_8_init +, .sourceIx = ty_u +, .targetIx = ty_ppmw256pmw128pmw64pmw32pmw16mw8pw64w256 +} +,[SHA_256_IV] = +{ .tag = JET +, .jet = sha_256_iv +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[SIG_ALL_HASH] = +{ .tag = JET +, .jet = sig_all_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[SUBTRACT_32] = +{ .tag = JET +, .jet = subtract_32 +, .sourceIx = ty_w64 +, .targetIx = ty_pbw32 +} +,[TAP_ENV_HASH] = +{ .tag = JET +, .jet = tap_env_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[TAPBRANCH] = +{ .tag = JET +, .jet = tapbranch +, .sourceIx = ty_w8 +, .targetIx = ty_mw256 +} +,[TAPBRANCH_HASH] = +{ .tag = JET +, .jet = tapbranch_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[TAPLEAF_HASH] = +{ .tag = JET +, .jet = tapleaf_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[TAPLEAF_VERSION] = +{ .tag = JET +, .jet = tapleaf_version +, .sourceIx = ty_u +, .targetIx = ty_w8 +} +,[TX_HASH] = +{ .tag = JET +, .jet = tx_hash +, .sourceIx = ty_u +, .targetIx = ty_w256 +} +,[TX_IS_FINAL] = +{ .tag = JET +, .jet = tx_is_final +, .sourceIx = ty_u +, .targetIx = ty_b +} +,[TX_LOCK_DISTANCE] = +{ .tag = JET +, .jet = tx_lock_distance +, .sourceIx = ty_u +, .targetIx = ty_w16 +} +,[TX_LOCK_DURATION] = +{ .tag = JET +, .jet = tx_lock_duration +, .sourceIx = ty_u +, .targetIx = ty_w16 +} +,[TX_LOCK_HEIGHT] = +{ .tag = JET +, .jet = tx_lock_height +, .sourceIx = ty_u +, .targetIx = ty_w32 +} +,[TX_LOCK_TIME] = +{ .tag = JET +, .jet = tx_lock_time +, .sourceIx = ty_u +, .targetIx = ty_w32 +} +,[VERIFY] = +{ .tag = JET +, .jet = verify +, .sourceIx = ty_b +, .targetIx = ty_u +} +,[VERSION] = +{ .tag = JET +, .jet = version +, .sourceIx = ty_u +, .targetIx = ty_w32 +} diff --git a/rsort.c b/rsort.c new file mode 100644 index 00000000000..f69fc6ad4a9 --- /dev/null +++ b/rsort.c @@ -0,0 +1,134 @@ +#include "rsort.h" + +#include +#include + +/* Return the 'i'th char of the internal representation of the midstate pointed to by a. + * + * Precondition: NULL != a + * i < sizeof(a->s); + */ +static unsigned char readLevel(const sha256_midstate* a, size_t i) { + return ((const unsigned char*)(a->s))[i]; +} + +/* Given an array of midstate pointers, + * count the frequencies of the values of the 'j'th character of each midstate's internal representation. + * Returns 'true' if the 'j'th character of every entry is the same, otherwise returns 'false'. + * + * The time complexity of 'freq' is O('len'). + * + * Precondition: size_t result[CHAR_COUNT]; + * const sha256_midstate * const a[len]; + * j < sizeof((*a)->s) + */ +static bool freq(size_t* result, const sha256_midstate * const * a, size_t len, size_t j) { + memset(result, 0, CHAR_COUNT * sizeof(size_t)); + + if (0 == len) return true; + + for (size_t i = 0; i < len - 1; ++i) { + result[readLevel(a[i],j)]++; + } + + /* Check the final iteration to see if the frequency is equal to 'len'. */ + return len == ++result[readLevel(a[len-1],j)]; +} + +/* Given an array of bucket sizes, return an array of their cumulative sizes. + * + * Precondition: size_t result[CHAR_COUNT]; + * const size_t sizes[CHAR_COUNT]; + */ +static void cumulative(size_t* restrict result, const size_t* restrict sizes) { + size_t accumulator = 0; + + for (size_t i = 0; i < CHAR_COUNT; ++i) { + accumulator += sizes[i]; + result[i] = accumulator; + } +} + +/* Given an array of bucket end indices (i.e. the result of 'cumulative'), + * Return the starting position of the 'i'th bucket. + * + * Precondition: size_t ends[CHAR_COUNT]; + * i < CHAR_COUNT; + */ +static size_t bucketStart(const size_t* ends, size_t i) { + return i ? ends[i-1] : 0; +} + +/* Exchange two pointers. + * (a == b is acceptable.) + * + * Precondition: NULL != a; + * NULL != b; + */ +static void swap(const sha256_midstate** a, const sha256_midstate** b) { + const sha256_midstate* tmp = *a; + *a = *b; + *b = tmp; +} + +/* Attempts to (partially) sort an array of pointers to 'sha256_midstate's in place in an implementation specific order. + * If duplicate entries are found, the sorting is aborted and one of pointers to a duplicate entry is returned. + * Otherwise if no duplicate entries are found 'NULL' is returned. + * The sort order is determined by the first 'level' 'char's of the internal representation of 'sha256_midsate'. + * + * The maximum recursion depth is 'level'. With some effort 'rsort' could be rewritten to be non-recursive. + * The time complexity of rsort is O('len'). + * + * Precondition: size_t scratch[(level + 1)*CHAR_COUNT]; + * For all 0 <= i < len, NULL != a[i]; + * level <= sizeof((*a)->s); + */ +const sha256_midstate* rsort(size_t* scratch, const sha256_midstate** a, size_t len, size_t level) { + /* An array of length 0 or 1 is sorted and without duplicates. */ + if (len < 2) return NULL; + + /* An array of empty strings of length 2 or more has duplicates. */ + if (0 == level) return a[0]; + + assert(level <= sizeof((*a)->s)); + + size_t* bucketEnds = scratch; + + { + size_t* bucketSize = scratch + CHAR_COUNT; + + /* The time complexity of 'freq' is O('len'). */ + while (freq(bucketSize, a, len, level - 1)) { + /* If there is only one non-empty bucket, then we can proceed directly to the next level. */ + level--; + if (0 == level) return a[0]; + }; + + cumulative(bucketEnds, bucketSize); + assert(len == bucketEnds[UCHAR_MAX]); + + for (size_t i = 0; i < CHAR_COUNT; ++i) { + size_t start = bucketStart(bucketEnds, i); + while (bucketSize[i]) { + /* Each time through this loop some bucketSize is decremented. + * Therefore this body is executed 'len' many times per call to rsort. + */ + size_t bucket = readLevel(a[start], level - 1); + assert(bucketSize[bucket]); + bucketSize[bucket]--; + swap(a + start, a + bucketStart(bucketEnds, bucket) + bucketSize[bucket]); + } + } + } + + for (size_t i = 0; i < CHAR_COUNT; ++i) { + size_t start = bucketStart(bucketEnds, i); + /* By induction this rsort call takes O('bucketEnds'['i'] - 'start') time. + * There is one call per bucket, so the total cost of these recursive calls is O('len'). + */ + const sha256_midstate* rec = rsort(scratch + CHAR_COUNT, a + start, bucketEnds[i] - start, level - 1); + if (rec) return rec; + } + + return NULL; +} diff --git a/rsort.h b/rsort.h new file mode 100644 index 00000000000..49d783192c0 --- /dev/null +++ b/rsort.h @@ -0,0 +1,49 @@ +#ifndef SIMPLICITY_RSORT_H +#define SIMPLICITY_RSORT_H + +#include +#include +#include +#include + +#include "sha256.h" + +_Static_assert(UCHAR_MAX < SIZE_MAX, "UCHAR_MAX >= SIZE_MAX"); +#define CHAR_COUNT ((size_t)1 << CHAR_BIT) + +/* Internal function used by 'hasDuplicates'. Do not call directly. */ +const sha256_midstate* rsort(size_t* scratch, const sha256_midstate** a, size_t len, size_t level); + +/* Searches for duplicates in an array of pointers to 'sha256_midstate's. + * If 'true' is returned, '*duplicates' is set according to whether duplicate 'sha256_midstate' values were found. + * If 'true' is returned, the array is also wiped, with all pointers set to NULL. + * If malloc fails, false is returned and '*duplicates' and the array are unchanged. + * + * Precondition: NULL != duplicates; + * const sha256_midstate a[len]; + * Postcondition: If 'true' is returned then for all 0 <= i < len, NULL == a[i]; + */ +static inline bool hasDuplicates(bool* duplicates, const sha256_midstate* a, size_t len) { + _Static_assert(sizeof(a->s) * CHAR_BIT == 256, "sha256_midstate.s has unnamed padding"); + _Static_assert(sizeof(a->s) < SIZE_MAX / CHAR_COUNT, "CHAR_BIT is way too large"); + _Static_assert((sizeof(a->s) + 1) * CHAR_COUNT <= SIZE_MAX/sizeof(size_t), "sizeof(size_t) is way too large"); + size_t * scratch = malloc((sizeof(a->s) + 1) * CHAR_COUNT * sizeof(size_t)); + const sha256_midstate **perm = len <= SIZE_MAX/sizeof(const sha256_midstate*) + ? malloc(len * sizeof(const sha256_midstate*)) + : NULL; + bool result = scratch && perm; + + if (result) { + for (size_t i = 0; i < len; ++i) { + perm[i] = a + i; + } + + *duplicates = rsort(scratch, perm, len, sizeof(a->s)); + } + + free(perm); + free(scratch); + return result; +} + +#endif diff --git a/schnorr0.c b/schnorr0.c new file mode 100644 index 00000000000..fef5d448ed6 --- /dev/null +++ b/schnorr0.c @@ -0,0 +1,35 @@ +#include "schnorr0.h" + +/* A length-prefixed encoding of the following Simplicity program: + * (scribe (toWord256 0xF9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9) &&& + * zero word256) &&& + * witness (toWord512 0xE907831F80848D1069A5371B402410364BDF1C5F8307B0084C55F1CE2DCA821525F66A4A85EA8B71E482A74F382D2CE5EBEEE8FDB2172F477DF4900D310536C0) >>> + * Simplicity.Programs.LibSecp256k1.Lib.bip_0340_verify + * with jets. + */ +const unsigned char schnorr0[] = { + 0xc6, 0xd5, 0xf2, 0x61, 0x14, 0x03, 0x24, 0xb1, 0x86, 0x20, 0x92, 0x68, 0x9f, 0x0b, 0xf1, 0x3a, 0xa4, 0x53, 0x6a, 0x63, + 0x90, 0x8b, 0x06, 0xdf, 0x33, 0x61, 0x0c, 0x03, 0xe2, 0x27, 0x79, 0xc0, 0x6d, 0xf2, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xe2, 0x8d, 0x8c, 0x04, 0x7a, 0x40, 0x1d, 0x20, 0xf0, 0x63, 0xf0, 0x10, 0x91, 0xa2, + 0x0d, 0x34, 0xa6, 0xe3, 0x68, 0x04, 0x82, 0x06, 0xc9, 0x7b, 0xe3, 0x8b, 0xf0, 0x60, 0xf6, 0x01, 0x09, 0x8a, 0xbe, 0x39, + 0xc5, 0xb9, 0x50, 0x42, 0xa4, 0xbe, 0xcd, 0x49, 0x50, 0xbd, 0x51, 0x6e, 0x3c, 0x90, 0x54, 0xe9, 0xe7, 0x05, 0xa5, 0x9c, + 0xbd, 0x7d, 0xdd, 0x1f, 0xb6, 0x42, 0xe5, 0xe8, 0xef, 0xbe, 0x92, 0x01, 0xa6, 0x20, 0xa6, 0xd8, 0x00 +}; + +const size_t sizeof_schnorr0 = sizeof(schnorr0); + +/* The commitment Merkle root of the above schnorr0 Simplicity expression. */ +const uint32_t schnorr0_cmr[] = { + 0x1af6b2c4u, 0x1a54f830u, 0xb59bdfafu, 0x8c32b92cu, 0x4ab72e14u, 0xd5450dc6u, 0x3d2d2d1au, 0xd4ce33bdu +}; + +/* The identity Merkle root of the above schnorr0 Simplicity expression. */ +const uint32_t schnorr0_imr[] = { + 0x5bd6f796u, 0xec846f6bu, 0x76cbc158u, 0x52a17a0du, 0x69ad6d42u, 0x7428c380u, 0xaf0c0193u, 0xadb34264u +}; + +/* The annotated Merkle root of the above schnorr0 Simplicity expression. */ +const uint32_t schnorr0_amr[] = { + 0x6dc24749u, 0x18b95d42u, 0xd85810acu, 0x4e7409b5u, 0x26cb5a3bu, 0xdb5ded52u, 0x44e521abu, 0x8b095d06u +}; diff --git a/schnorr0.h b/schnorr0.h new file mode 100644 index 00000000000..a988b5b8b9f --- /dev/null +++ b/schnorr0.h @@ -0,0 +1,26 @@ +#ifndef SIMPLICITY_SCHNORR0_H +#define SIMPLICITY_SCHNORR0_H + +#include +#include + +/* A length-prefixed encoding of the following Simplicity program: + * (scribe (toWord256 0xF9308A019258C31049344F85F89D5229B531C845836F99B08601F113BCE036F9) &&& + * zero word256) &&& + * witness (toWord512 0xE907831F80848D1069A5371B402410364BDF1C5F8307B0084C55F1CE2DCA821525F66A4A85EA8B71E482A74F382D2CE5EBEEE8FDB2172F477DF4900D310536C0) >>> + * Simplicity.Programs.LibSecp256k1.Lib.bip_0340_verify + * with jets. + */ +extern const unsigned char schnorr0[]; +extern const size_t sizeof_schnorr0; + +/* The commitment Merkle root of the above schnorr0 Simplicity expression. */ +extern const uint32_t schnorr0_cmr[]; + +/* The identity Merkle root of the above schnorr0 Simplicity expression. */ +extern const uint32_t schnorr0_imr[]; + +/* The annotated Merkle root of the above schnorr0 Simplicity expression. */ +extern const uint32_t schnorr0_amr[]; + +#endif diff --git a/schnorr6.c b/schnorr6.c new file mode 100644 index 00000000000..4348940a4bd --- /dev/null +++ b/schnorr6.c @@ -0,0 +1,35 @@ +#include "schnorr6.h" + +/* A length-prefixed encoding of the following Simplicity program: + * (scribe (toWord256 0xDFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659) &&& + * scribe (toWord256 0x5E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C)) &&& + * witness (toWord512 0xFFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A14602975563CC27944640AC607CD107AE10923D9EF7A73C643E166BE5EBEAFA34B1AC553E2) >>> + * Simplicity.Programs.LibSecp256k1.Lib.bip_0340_verify + * with jets. + */ +const unsigned char schnorr6[] = { + 0xc6, 0xd5, 0xbf, 0xe3, 0xae, 0xfe, 0x54, 0xce, 0x38, 0xbe, 0x6c, 0x30, 0x6e, 0x4d, 0xb6, 0x46, 0x83, 0x7c, 0xb1, 0xfd, + 0x5c, 0x3b, 0x45, 0xbd, 0x9d, 0xb0, 0x86, 0x48, 0x1e, 0xf6, 0xa0, 0x57, 0x4c, 0xb2, 0xbc, 0x5a, 0xb1, 0xb1, 0x67, 0x79, + 0xbe, 0x35, 0x75, 0xbd, 0x8f, 0x05, 0x20, 0xa9, 0xf2, 0x1b, 0xb5, 0x30, 0x0b, 0x55, 0x6a, 0xd8, 0xee, 0x66, 0x60, 0x49, + 0x73, 0xa1, 0x4a, 0x11, 0x6e, 0xb8, 0xe2, 0x8d, 0x8c, 0x04, 0x7a, 0x40, 0x1f, 0xff, 0x2f, 0x7a, 0xae, 0xab, 0xdd, 0xd4, + 0x84, 0x08, 0xa7, 0x42, 0x86, 0xaa, 0x46, 0xba, 0x70, 0x5e, 0xc8, 0xe5, 0xf0, 0xad, 0x14, 0x31, 0x65, 0xe0, 0xaf, 0x42, + 0x8c, 0x05, 0x2e, 0xaa, 0xc7, 0x98, 0x4f, 0x28, 0x8c, 0x81, 0x58, 0xc0, 0xf9, 0xa2, 0x0f, 0x5c, 0x21, 0x24, 0x7b, 0x3d, + 0xef, 0x4e, 0x78, 0xc8, 0x7c, 0x2c, 0xd7, 0xcb, 0xd7, 0xd5, 0xf4, 0x69, 0x63, 0x58, 0xaa, 0x7c, 0x40 +}; + +const size_t sizeof_schnorr6 = sizeof(schnorr6); + +/* The commitment Merkle root of the above schnorr6 Simplicity expression. */ +const uint32_t schnorr6_cmr[] = { + 0x515f2482u, 0x4880de59u, 0x9979fa41u, 0x7e1355e8u, 0xe131aea2u, 0xd7edb208u, 0x7b2bb6e6u, 0xb60cdd0bu +}; + +/* The identity Merkle root of the above schnorr6 Simplicity expression. */ +const uint32_t schnorr6_imr[] = { + 0x87c3025eu, 0xc742da62u, 0x7f734d1au, 0xd286714cu, 0x983b6d50u, 0xc1a6af52u, 0x7dc191c8u, 0xa541a033u +}; + +/* The annotated Merkle root of the above schnorr6 Simplicity expression. */ +const uint32_t schnorr6_amr[] = { + 0xb0b9d7fbu, 0x04e82a4au, 0x3b05d5f4u, 0xa7747272u, 0xeae14aadu, 0x86327935u, 0x638dafb8u, 0x3d58873fu +}; diff --git a/schnorr6.h b/schnorr6.h new file mode 100644 index 00000000000..93469dd6a0c --- /dev/null +++ b/schnorr6.h @@ -0,0 +1,26 @@ +#ifndef SIMPLICITY_SCHNORR6_H +#define SIMPLICITY_SCHNORR6_H + +#include +#include + +/* A length-prefixed encoding of the following Simplicity program: + * (scribe (toWord256 0xDFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659) &&& + * scribe (toWord256 0x5E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C)) &&& + * witness (toWord512 0xFFF97BD5755EEEA420453A14355235D382F6472F8568A18B2F057A14602975563CC27944640AC607CD107AE10923D9EF7A73C643E166BE5EBEAFA34B1AC553E2) >>> + * Simplicity.Programs.LibSecp256k1.Lib.bip_0340_verify + * with jets. + */ +extern const unsigned char schnorr6[]; +extern const size_t sizeof_schnorr6; + +/* The commitment Merkle root of the above schnorr6 Simplicity expression. */ +extern const uint32_t schnorr6_cmr[]; + +/* The identity Merkle root of the above schnorr6 Simplicity expression. */ +extern const uint32_t schnorr6_imr[]; + +/* The annotated Merkle root of the above schnorr6 Simplicity expression. */ +extern const uint32_t schnorr6_amr[]; + +#endif diff --git a/secp256k1/README.md b/secp256k1/README.md new file mode 100644 index 00000000000..31db619bfb2 --- /dev/null +++ b/secp256k1/README.md @@ -0,0 +1,31 @@ +This directory contains a modified copy of the libsecp256k1 branch `9a5a87e0f1276e0284446af1172056ea4693737f` from . +In general, the files in this directory should be compared with the corresponding files in the `src` directory from libsecp256k1. +There are some exceptions however: + +* `secp256k1.h` should be compared with `include/secp256k1.h`. +* `secp256k1_impl.h` should be compared with `src/secp256k1.c`. +* `extrakeys.h` should be compared with `include/secp256k1_extrakeys.h`. +* `extrakeys_impl.h` should be compared with `src/modules/extrakeys/main_impl.h`. +* `schnorrsig.h` should be compared with `include/secp256k1_schnorrsig.h`. +* `schnorrsig_impl.h` should be compared with `src/modules/schnorrsig/main_impl.h`. + + +Our use of libsecp256k1 for various jets requires access to the internal functions that are not exposed by the their API, so we cannot use libsecp256k1's normal interface. +Furthermore, because Simplicity has no abstract data types, the specific details of the representation of field and group elements computed by jetted functions ends up being consensus critical. +Therefore, even if libsecp256k1's interface exposed the functionality we needed, we still wouldn't be able perform libsecp256k1 version upgrades because different versions of libsecp256k1 do not guarantee that their functions won't change the representation of computed field and group elements. +Even libsecp256k1's configuration options, including `ECMULT_WINDOW_SIZE`, all can affect the representation of the computed group elements. +Therefore we need to fix these options to specific values. + +Simplicity computations are on public data and therefore we do not jet functions that manipulate private or secret data. +In particular, we only need to jet variable-time algorithms when there is a choice of variable-time or constant-time algorithms. + +In incorporating the libsecp256k1 library into the Simplicity library, there is a tension between making minimal changes to the library versus removing configuration options and other code that, if they were activated, could cause consensus incompatible changes in functionality. +Because we will not be able to easily migrate to newer versions of libsecp256k1 anyways, we have take a heavy-handed approach to trimming unused configuration options, dead code, functions specific to working with secret data, etc. +In some cases we have made minor code changes: + +* `secp256k1_fe_sqrt` has been modified to call `secp256k1_fe_equal_var` (as `secp256k1_fe_equal` has been removed). The function has been renamed to `secp256k1_fe_sqrt_var` and similar for other indirect callers. +* The uses of secp256k1's `hash.h` for Schnorr signatures has been replaced with calls to Simplicity's internal `sha256.h` implementation. This removes the duplication of functionality and replaces the non-portable use of the `WORDS_BIGENDIAN` flag in `hash_impl.h` with our portable implementation. +* `checked_malloc` and `checked_realloc` have been removed along with any functions that called themm. +* `ARG_CHECK` doesn't call the callback. +* Callbacks have been removed. +* `secp256k1_context` has been removed. diff --git a/secp256k1/assumptions.h b/secp256k1/assumptions.h new file mode 100644 index 00000000000..6dc527b2889 --- /dev/null +++ b/secp256k1/assumptions.h @@ -0,0 +1,80 @@ +/*********************************************************************** + * Copyright (c) 2020 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_ASSUMPTIONS_H +#define SECP256K1_ASSUMPTIONS_H + +#include + +#include "util.h" + +/* This library, like most software, relies on a number of compiler implementation defined (but not undefined) + behaviours. Although the behaviours we require are essentially universal we test them specifically here to + reduce the odds of experiencing an unwelcome surprise. +*/ + +struct secp256k1_assumption_checker { + /* This uses a trick to implement a static assertion in C89: a type with an array of negative size is not + allowed. */ + int dummy_array[( + /* Bytes are 8 bits. */ + (CHAR_BIT == 8) && + + /* No integer promotion for uint32_t. This ensures that we can multiply uintXX_t values where XX >= 32 + without signed overflow, which would be undefined behaviour. */ + (UINT_MAX <= UINT32_MAX) && + + /* Conversions from unsigned to signed outside of the bounds of the signed type are + implementation-defined. Verify that they function as reinterpreting the lower + bits of the input in two's complement notation. Do this for conversions: + - from uint(N)_t to int(N)_t with negative result + - from uint(2N)_t to int(N)_t with negative result + - from int(2N)_t to int(N)_t with negative result + - from int(2N)_t to int(N)_t with positive result */ + + /* To int8_t. */ + ((int8_t)(uint8_t)0xAB == (int8_t)-(int8_t)0x55) && + ((int8_t)(uint16_t)0xABCD == (int8_t)-(int8_t)0x33) && + ((int8_t)(int16_t)(uint16_t)0xCDEF == (int8_t)(uint8_t)0xEF) && + ((int8_t)(int16_t)(uint16_t)0x9234 == (int8_t)(uint8_t)0x34) && + + /* To int16_t. */ + ((int16_t)(uint16_t)0xBCDE == (int16_t)-(int16_t)0x4322) && + ((int16_t)(uint32_t)0xA1B2C3D4 == (int16_t)-(int16_t)0x3C2C) && + ((int16_t)(int32_t)(uint32_t)0xC1D2E3F4 == (int16_t)(uint16_t)0xE3F4) && + ((int16_t)(int32_t)(uint32_t)0x92345678 == (int16_t)(uint16_t)0x5678) && + + /* To int32_t. */ + ((int32_t)(uint32_t)0xB2C3D4E5 == (int32_t)-(int32_t)0x4D3C2B1B) && + ((int32_t)(uint64_t)0xA123B456C789D012ULL == (int32_t)-(int32_t)0x38762FEE) && + ((int32_t)(int64_t)(uint64_t)0xC1D2E3F4A5B6C7D8ULL == (int32_t)(uint32_t)0xA5B6C7D8) && + ((int32_t)(int64_t)(uint64_t)0xABCDEF0123456789ULL == (int32_t)(uint32_t)0x23456789) && + + /* To int64_t. */ + ((int64_t)(uint64_t)0xB123C456D789E012ULL == (int64_t)-(int64_t)0x4EDC3BA928761FEEULL) && +#if defined(SECP256K1_WIDEMUL_INT128) + ((int64_t)(((uint128_t)0xA1234567B8901234ULL << 64) + 0xC5678901D2345678ULL) == (int64_t)-(int64_t)0x3A9876FE2DCBA988ULL) && + (((int64_t)(int128_t)(((uint128_t)0xB1C2D3E4F5A6B7C8ULL << 64) + 0xD9E0F1A2B3C4D5E6ULL)) == (int64_t)(uint64_t)0xD9E0F1A2B3C4D5E6ULL) && + (((int64_t)(int128_t)(((uint128_t)0xABCDEF0123456789ULL << 64) + 0x0123456789ABCDEFULL)) == (int64_t)(uint64_t)0x0123456789ABCDEFULL) && + + /* To int128_t. */ + ((int128_t)(((uint128_t)0xB1234567C8901234ULL << 64) + 0xD5678901E2345678ULL) == (int128_t)(-(int128_t)0x8E1648B3F50E80DCULL * 0x8E1648B3F50E80DDULL + 0x5EA688D5482F9464ULL)) && +#endif + + /* Right shift on negative signed values is implementation defined. Verify that it + acts as a right shift in two's complement with sign extension (i.e duplicating + the top bit into newly added bits). */ + ((((int8_t)0xE8) >> 2) == (int8_t)(uint8_t)0xFA) && + ((((int16_t)0xE9AC) >> 4) == (int16_t)(uint16_t)0xFE9A) && + ((((int32_t)0x937C918A) >> 9) == (int32_t)(uint32_t)0xFFC9BE48) && + ((((int64_t)0xA8B72231DF9CF4B9ULL) >> 19) == (int64_t)(uint64_t)0xFFFFF516E4463BF3ULL) && +#if defined(SECP256K1_WIDEMUL_INT128) + ((((int128_t)(((uint128_t)0xCD833A65684A0DBCULL << 64) + 0xB349312F71EA7637ULL)) >> 39) == (int128_t)(((uint128_t)0xFFFFFFFFFF9B0674ULL << 64) + 0xCAD0941B79669262ULL)) && +#endif + 1) * 2 - 1]; +}; + +#endif /* SECP256K1_ASSUMPTIONS_H */ diff --git a/secp256k1/ecmult.h b/secp256k1/ecmult.h new file mode 100644 index 00000000000..32cf54b0123 --- /dev/null +++ b/secp256k1/ecmult.h @@ -0,0 +1,38 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_ECMULT_H +#define SECP256K1_ECMULT_H + +#include "group.h" +#include "scalar.h" + +#define ECMULT_WINDOW_SIZE 15 + +/** The number of entries a table with precomputed multiples needs to have. */ +#define ECMULT_TABLE_SIZE(w) (1L << ((w)-2)) + +/** Double multiply: R = na*A + ng*G */ +static void secp256k1_ecmult(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng); + +#if 0 +typedef int (secp256k1_ecmult_multi_callback)(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *data); + +/** + * Multi-multiply: R = inp_g_sc * G + sum_i ni * Ai. + * Chooses the right algorithm for a given number of points and scratch space + * size. Resets and overwrites the given scratch space. If the points do not + * fit in the scratch space the algorithm is repeatedly run with batches of + * points. If no scratch space is given then a simple algorithm is used that + * simply multiplies the points with the corresponding scalars and adds them up. + * Returns: 1 on success (including when inp_g_sc is NULL and n is 0) + * 0 if there is not enough scratch space for a single point or + * callback returns 0 + */ +static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n); +#endif + +#endif /* SECP256K1_ECMULT_H */ diff --git a/secp256k1/ecmult_impl.h b/secp256k1/ecmult_impl.h new file mode 100644 index 00000000000..a9638b82a37 --- /dev/null +++ b/secp256k1/ecmult_impl.h @@ -0,0 +1,839 @@ +/****************************************************************************** + * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra, Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php. * + ******************************************************************************/ + +#ifndef SECP256K1_ECMULT_IMPL_H +#define SECP256K1_ECMULT_IMPL_H + +#include +#include + +#include "util.h" +#include "group.h" +#include "scalar.h" +#include "ecmult.h" +#include "ecmult_static_pre_g.h" + +#if defined(EXHAUSTIVE_TEST_ORDER) +/* We need to lower these values for exhaustive tests because + * the tables cannot have infinities in them (this breaks the + * affine-isomorphism stuff which tracks z-ratios) */ +# if EXHAUSTIVE_TEST_ORDER > 128 +# define WINDOW_A 5 +# elif EXHAUSTIVE_TEST_ORDER > 8 +# define WINDOW_A 4 +# else +# define WINDOW_A 2 +# endif +#else +/* optimal for 128-bit and 256-bit exponents. */ +# define WINDOW_A 5 +/** Larger values for ECMULT_WINDOW_SIZE result in possibly better + * performance at the cost of an exponentially larger precomputed + * table. The exact table size is + * (1 << (WINDOW_G - 2)) * sizeof(secp256k1_ge_storage) bytes, + * where sizeof(secp256k1_ge_storage) is typically 64 bytes but can + * be larger due to platform-specific padding and alignment. + * Two tables of this size are used (due to the endomorphism + * optimization). + */ +#endif + +#define WNAF_BITS 128 +#define WNAF_SIZE_BITS(bits, w) (((bits) + (w) - 1) / (w)) +#define WNAF_SIZE(w) WNAF_SIZE_BITS(WNAF_BITS, w) + +/* The number of objects allocated on the scratch space for ecmult_multi algorithms */ +#define PIPPENGER_SCRATCH_OBJECTS 6 +#define STRAUSS_SCRATCH_OBJECTS 6 + +#define PIPPENGER_MAX_BUCKET_WINDOW 12 + +/* Minimum number of points for which pippenger_wnaf is faster than strauss wnaf */ +#define ECMULT_PIPPENGER_THRESHOLD 88 + +#define ECMULT_MAX_POINTS_PER_BATCH 5000000 + +/** Fill a table 'prej' with precomputed odd multiples of a. Prej will contain + * the values [1*a,3*a,...,(2*n-1)*a], so it space for n values. zr[0] will + * contain prej[0].z / a.z. The other zr[i] values = prej[i].z / prej[i-1].z. + * Prej's Z values are undefined, except for the last value. + */ +static void secp256k1_ecmult_odd_multiples_table(int n, secp256k1_gej *prej, secp256k1_fe *zr, const secp256k1_gej *a) { + secp256k1_gej d; + secp256k1_ge a_ge, d_ge; + int i; + + VERIFY_CHECK(!a->infinity); + + secp256k1_gej_double_var(&d, a, NULL); + + /* + * Perform the additions on an isomorphism where 'd' is affine: drop the z coordinate + * of 'd', and scale the 1P starting value's x/y coordinates without changing its z. + */ + d_ge.x = d.x; + d_ge.y = d.y; + d_ge.infinity = 0; + + secp256k1_ge_set_gej_zinv(&a_ge, a, &d.z); + prej[0].x = a_ge.x; + prej[0].y = a_ge.y; + prej[0].z = a->z; + prej[0].infinity = 0; + + zr[0] = d.z; + for (i = 1; i < n; i++) { + secp256k1_gej_add_ge_var(&prej[i], &prej[i-1], &d_ge, &zr[i]); + } + + /* + * Each point in 'prej' has a z coordinate too small by a factor of 'd.z'. Only + * the final point's z coordinate is actually used though, so just update that. + */ + secp256k1_fe_mul(&prej[n-1].z, &prej[n-1].z, &d.z); +} + +/** The following two macro retrieves a particular odd multiple from a table + * of precomputed multiples. */ +#define ECMULT_TABLE_GET_GE(r,pre,n,w) do { \ + VERIFY_CHECK(((n) & 1) == 1); \ + VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ + VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); \ + if ((n) > 0) { \ + *(r) = (pre)[((n)-1)/2]; \ + } else { \ + *(r) = (pre)[(-(n)-1)/2]; \ + secp256k1_fe_negate(&((r)->y), &((r)->y), 1); \ + } \ +} while(0) + +#define ECMULT_TABLE_GET_GE_STORAGE(r,pre,n,w) do { \ + VERIFY_CHECK(((n) & 1) == 1); \ + VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \ + VERIFY_CHECK((n) <= ((1 << ((w)-1)) - 1)); \ + if ((n) > 0) { \ + secp256k1_ge_from_storage((r), &(pre)[((n)-1)/2]); \ + } else { \ + secp256k1_ge_from_storage((r), &(pre)[(-(n)-1)/2]); \ + secp256k1_fe_negate(&((r)->y), &((r)->y), 1); \ + } \ +} while(0) + +/** Convert a number to WNAF notation. The number becomes represented by sum(2^i * wnaf[i], i=0..bits), + * with the following guarantees: + * - each wnaf[i] is either 0, or an odd integer between -(1<<(w-1) - 1) and (1<<(w-1) - 1) + * - two non-zero entries in wnaf are separated by at least w-1 zeroes. + * - the number of set values in wnaf is returned. This number is at most 256, and at most one more + * than the number of bits in the (absolute value) of the input. + */ +static int secp256k1_ecmult_wnaf(int *wnaf, int len, const secp256k1_scalar *a, int w) { + secp256k1_scalar s; + int last_set_bit = -1; + int bit = 0; + int sign = 1; + int carry = 0; + + VERIFY_CHECK(wnaf != NULL); + VERIFY_CHECK(0 <= len && len <= 256); + VERIFY_CHECK(a != NULL); + VERIFY_CHECK(2 <= w && w <= 31); + + memset(wnaf, 0, len * sizeof(wnaf[0])); + + s = *a; + if (secp256k1_scalar_get_bits(&s, 255, 1)) { + secp256k1_scalar_negate(&s, &s); + sign = -1; + } + + while (bit < len) { + int now; + int word; + if (secp256k1_scalar_get_bits(&s, bit, 1) == (unsigned int)carry) { + bit++; + continue; + } + + now = w; + if (now > len - bit) { + now = len - bit; + } + + word = secp256k1_scalar_get_bits_var(&s, bit, now) + carry; + + carry = (word >> (w-1)) & 1; + word -= carry << w; + + wnaf[bit] = sign * word; + last_set_bit = bit; + + bit += now; + } +#ifdef VERIFY + CHECK(carry == 0); + while (bit < 256) { + CHECK(secp256k1_scalar_get_bits(&s, bit++, 1) == 0); + } +#endif + return last_set_bit + 1; +} + +struct secp256k1_strauss_point_state { + secp256k1_scalar na_1, na_lam; + int wnaf_na_1[129]; + int wnaf_na_lam[129]; + int bits_na_1; + int bits_na_lam; + size_t input_pos; +}; + +struct secp256k1_strauss_state { + secp256k1_gej* prej; + secp256k1_fe* zr; + secp256k1_ge* pre_a; + secp256k1_ge* pre_a_lam; + struct secp256k1_strauss_point_state* ps; +}; + +static void secp256k1_ecmult_strauss_wnaf(const struct secp256k1_strauss_state *state, secp256k1_gej *r, size_t num, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { + secp256k1_ge tmpa; + secp256k1_fe Z; + /* Splitted G factors. */ + secp256k1_scalar ng_1, ng_128; + int wnaf_ng_1[129]; + int bits_ng_1 = 0; + int wnaf_ng_128[129]; + int bits_ng_128 = 0; + int i; + int bits = 0; + size_t np; + size_t no = 0; + + for (np = 0; np < num; ++np) { + if (secp256k1_scalar_is_zero(&na[np]) || secp256k1_gej_is_infinity(&a[np])) { + continue; + } + state->ps[no].input_pos = np; + /* split na into na_1 and na_lam (where na = na_1 + na_lam*lambda, and na_1 and na_lam are ~128 bit) */ + secp256k1_scalar_split_lambda(&state->ps[no].na_1, &state->ps[no].na_lam, &na[np]); + + /* build wnaf representation for na_1 and na_lam. */ + state->ps[no].bits_na_1 = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na_1, 129, &state->ps[no].na_1, WINDOW_A); + state->ps[no].bits_na_lam = secp256k1_ecmult_wnaf(state->ps[no].wnaf_na_lam, 129, &state->ps[no].na_lam, WINDOW_A); + VERIFY_CHECK(state->ps[no].bits_na_1 <= 129); + VERIFY_CHECK(state->ps[no].bits_na_lam <= 129); + if (state->ps[no].bits_na_1 > bits) { + bits = state->ps[no].bits_na_1; + } + if (state->ps[no].bits_na_lam > bits) { + bits = state->ps[no].bits_na_lam; + } + ++no; + } + + /* Calculate odd multiples of a. + * All multiples are brought to the same Z 'denominator', which is stored + * in Z. Due to secp256k1' isomorphism we can do all operations pretending + * that the Z coordinate was 1, use affine addition formulae, and correct + * the Z coordinate of the result once at the end. + * The exception is the precomputed G table points, which are actually + * affine. Compared to the base used for other points, they have a Z ratio + * of 1/Z, so we can use secp256k1_gej_add_zinv_var, which uses the same + * isomorphism to efficiently add with a known Z inverse. + */ + if (no > 0) { + /* Compute the odd multiples in Jacobian form. */ + secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), state->prej, state->zr, &a[state->ps[0].input_pos]); + for (np = 1; np < no; ++np) { + secp256k1_gej tmp = a[state->ps[np].input_pos]; +#ifdef VERIFY + secp256k1_fe_normalize_var(&(state->prej[(np - 1) * ECMULT_TABLE_SIZE(WINDOW_A) + ECMULT_TABLE_SIZE(WINDOW_A) - 1].z)); +#endif + secp256k1_gej_rescale(&tmp, &(state->prej[(np - 1) * ECMULT_TABLE_SIZE(WINDOW_A) + ECMULT_TABLE_SIZE(WINDOW_A) - 1].z)); + secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), state->prej + np * ECMULT_TABLE_SIZE(WINDOW_A), state->zr + np * ECMULT_TABLE_SIZE(WINDOW_A), &tmp); + secp256k1_fe_mul(state->zr + np * ECMULT_TABLE_SIZE(WINDOW_A), state->zr + np * ECMULT_TABLE_SIZE(WINDOW_A), &(a[state->ps[np].input_pos].z)); + } + /* Bring them to the same Z denominator. */ + secp256k1_ge_globalz_set_table_gej(ECMULT_TABLE_SIZE(WINDOW_A) * no, state->pre_a, &Z, state->prej, state->zr); + } else { + secp256k1_fe_set_int(&Z, 1); + } + + for (np = 0; np < no; ++np) { + for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) { + secp256k1_ge_mul_lambda(&state->pre_a_lam[np * ECMULT_TABLE_SIZE(WINDOW_A) + i], &state->pre_a[np * ECMULT_TABLE_SIZE(WINDOW_A) + i]); + } + } + + if (ng) { + /* split ng into ng_1 and ng_128 (where gn = gn_1 + gn_128*2^128, and gn_1 and gn_128 are ~128 bit) */ + secp256k1_scalar_split_128(&ng_1, &ng_128, ng); + + /* Build wnaf representation for ng_1 and ng_128 */ + bits_ng_1 = secp256k1_ecmult_wnaf(wnaf_ng_1, 129, &ng_1, WINDOW_G); + bits_ng_128 = secp256k1_ecmult_wnaf(wnaf_ng_128, 129, &ng_128, WINDOW_G); + if (bits_ng_1 > bits) { + bits = bits_ng_1; + } + if (bits_ng_128 > bits) { + bits = bits_ng_128; + } + } + + secp256k1_gej_set_infinity(r); + + for (i = bits - 1; i >= 0; i--) { + int n; + secp256k1_gej_double_var(r, r, NULL); + for (np = 0; np < no; ++np) { + if (i < state->ps[np].bits_na_1 && (n = state->ps[np].wnaf_na_1[i])) { + ECMULT_TABLE_GET_GE(&tmpa, state->pre_a + np * ECMULT_TABLE_SIZE(WINDOW_A), n, WINDOW_A); + secp256k1_gej_add_ge_var(r, r, &tmpa, NULL); + } + if (i < state->ps[np].bits_na_lam && (n = state->ps[np].wnaf_na_lam[i])) { + ECMULT_TABLE_GET_GE(&tmpa, state->pre_a_lam + np * ECMULT_TABLE_SIZE(WINDOW_A), n, WINDOW_A); + secp256k1_gej_add_ge_var(r, r, &tmpa, NULL); + } + } + if (i < bits_ng_1 && (n = wnaf_ng_1[i])) { + ECMULT_TABLE_GET_GE_STORAGE(&tmpa, secp256k1_pre_g, n, WINDOW_G); + secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); + } + if (i < bits_ng_128 && (n = wnaf_ng_128[i])) { + ECMULT_TABLE_GET_GE_STORAGE(&tmpa, secp256k1_pre_g_128, n, WINDOW_G); + secp256k1_gej_add_zinv_var(r, r, &tmpa, &Z); + } + } + + if (!r->infinity) { + secp256k1_fe_mul(&r->z, &r->z, &Z); + } +} + +static void secp256k1_ecmult(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng) { + secp256k1_gej prej[ECMULT_TABLE_SIZE(WINDOW_A)]; + secp256k1_fe zr[ECMULT_TABLE_SIZE(WINDOW_A)]; + secp256k1_ge pre_a[ECMULT_TABLE_SIZE(WINDOW_A)]; + struct secp256k1_strauss_point_state ps[1]; + secp256k1_ge pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)]; + struct secp256k1_strauss_state state; + + state.prej = prej; + state.zr = zr; + state.pre_a = pre_a; + state.pre_a_lam = pre_a_lam; + state.ps = ps; + secp256k1_ecmult_strauss_wnaf(&state, r, 1, a, na, ng); +} + +#if 0 +static size_t secp256k1_strauss_scratch_size(size_t n_points) { + static const size_t point_size = (2 * sizeof(secp256k1_ge) + sizeof(secp256k1_gej) + sizeof(secp256k1_fe)) * ECMULT_TABLE_SIZE(WINDOW_A) + sizeof(struct secp256k1_strauss_point_state) + sizeof(secp256k1_gej) + sizeof(secp256k1_scalar); + return n_points*point_size; +} + +static int secp256k1_ecmult_strauss_batch(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) { + secp256k1_gej* points; + secp256k1_scalar* scalars; + struct secp256k1_strauss_state state; + size_t i; + const size_t scratch_checkpoint = secp256k1_scratch_checkpoint(error_callback, scratch); + + secp256k1_gej_set_infinity(r); + if (inp_g_sc == NULL && n_points == 0) { + return 1; + } + + points = (secp256k1_gej*)secp256k1_scratch_alloc(error_callback, scratch, n_points * sizeof(secp256k1_gej)); + scalars = (secp256k1_scalar*)secp256k1_scratch_alloc(error_callback, scratch, n_points * sizeof(secp256k1_scalar)); + state.prej = (secp256k1_gej*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_gej)); + state.zr = (secp256k1_fe*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_fe)); + state.pre_a = (secp256k1_ge*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_ge)); + state.pre_a_lam = (secp256k1_ge*)secp256k1_scratch_alloc(error_callback, scratch, n_points * ECMULT_TABLE_SIZE(WINDOW_A) * sizeof(secp256k1_ge)); + state.ps = (struct secp256k1_strauss_point_state*)secp256k1_scratch_alloc(error_callback, scratch, n_points * sizeof(struct secp256k1_strauss_point_state)); + + if (points == NULL || scalars == NULL || state.prej == NULL || state.zr == NULL || state.pre_a == NULL || state.pre_a_lam == NULL || state.ps == NULL) { + secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); + return 0; + } + + for (i = 0; i < n_points; i++) { + secp256k1_ge point; + if (!cb(&scalars[i], &point, i+cb_offset, cbdata)) { + secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); + return 0; + } + secp256k1_gej_set_ge(&points[i], &point); + } + secp256k1_ecmult_strauss_wnaf(&state, r, n_points, points, scalars, inp_g_sc); + secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); + return 1; +} + +/* Wrapper for secp256k1_ecmult_multi_func interface */ +static int secp256k1_ecmult_strauss_batch_single(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { + return secp256k1_ecmult_strauss_batch(error_callback, scratch, r, inp_g_sc, cb, cbdata, n, 0); +} + +static size_t secp256k1_strauss_max_points(const secp256k1_callback* error_callback, secp256k1_scratch *scratch) { + return secp256k1_scratch_max_allocation(error_callback, scratch, STRAUSS_SCRATCH_OBJECTS) / secp256k1_strauss_scratch_size(1); +} + +/** Convert a number to WNAF notation. + * The number becomes represented by sum(2^{wi} * wnaf[i], i=0..WNAF_SIZE(w)+1) - return_val. + * It has the following guarantees: + * - each wnaf[i] is either 0 or an odd integer between -(1 << w) and (1 << w) + * - the number of words set is always WNAF_SIZE(w) + * - the returned skew is 0 or 1 + */ +static int secp256k1_wnaf_fixed(int *wnaf, const secp256k1_scalar *s, int w) { + int skew = 0; + int pos; + int max_pos; + int last_w; + const secp256k1_scalar *work = s; + + if (secp256k1_scalar_is_zero(s)) { + for (pos = 0; pos < WNAF_SIZE(w); pos++) { + wnaf[pos] = 0; + } + return 0; + } + + if (secp256k1_scalar_is_even(s)) { + skew = 1; + } + + wnaf[0] = secp256k1_scalar_get_bits_var(work, 0, w) + skew; + /* Compute last window size. Relevant when window size doesn't divide the + * number of bits in the scalar */ + last_w = WNAF_BITS - (WNAF_SIZE(w) - 1) * w; + + /* Store the position of the first nonzero word in max_pos to allow + * skipping leading zeros when calculating the wnaf. */ + for (pos = WNAF_SIZE(w) - 1; pos > 0; pos--) { + int val = secp256k1_scalar_get_bits_var(work, pos * w, pos == WNAF_SIZE(w)-1 ? last_w : w); + if(val != 0) { + break; + } + wnaf[pos] = 0; + } + max_pos = pos; + pos = 1; + + while (pos <= max_pos) { + int val = secp256k1_scalar_get_bits_var(work, pos * w, pos == WNAF_SIZE(w)-1 ? last_w : w); + if ((val & 1) == 0) { + wnaf[pos - 1] -= (1 << w); + wnaf[pos] = (val + 1); + } else { + wnaf[pos] = val; + } + /* Set a coefficient to zero if it is 1 or -1 and the proceeding digit + * is strictly negative or strictly positive respectively. Only change + * coefficients at previous positions because above code assumes that + * wnaf[pos - 1] is odd. + */ + if (pos >= 2 && ((wnaf[pos - 1] == 1 && wnaf[pos - 2] < 0) || (wnaf[pos - 1] == -1 && wnaf[pos - 2] > 0))) { + if (wnaf[pos - 1] == 1) { + wnaf[pos - 2] += 1 << w; + } else { + wnaf[pos - 2] -= 1 << w; + } + wnaf[pos - 1] = 0; + } + ++pos; + } + + return skew; +} + +struct secp256k1_pippenger_point_state { + int skew_na; + size_t input_pos; +}; + +struct secp256k1_pippenger_state { + int *wnaf_na; + struct secp256k1_pippenger_point_state* ps; +}; + +/* + * pippenger_wnaf computes the result of a multi-point multiplication as + * follows: The scalars are brought into wnaf with n_wnaf elements each. Then + * for every i < n_wnaf, first each point is added to a "bucket" corresponding + * to the point's wnaf[i]. Second, the buckets are added together such that + * r += 1*bucket[0] + 3*bucket[1] + 5*bucket[2] + ... + */ +static int secp256k1_ecmult_pippenger_wnaf(secp256k1_gej *buckets, int bucket_window, struct secp256k1_pippenger_state *state, secp256k1_gej *r, const secp256k1_scalar *sc, const secp256k1_ge *pt, size_t num) { + size_t n_wnaf = WNAF_SIZE(bucket_window+1); + size_t np; + size_t no = 0; + int i; + int j; + + for (np = 0; np < num; ++np) { + if (secp256k1_scalar_is_zero(&sc[np]) || secp256k1_ge_is_infinity(&pt[np])) { + continue; + } + state->ps[no].input_pos = np; + state->ps[no].skew_na = secp256k1_wnaf_fixed(&state->wnaf_na[no*n_wnaf], &sc[np], bucket_window+1); + no++; + } + secp256k1_gej_set_infinity(r); + + if (no == 0) { + return 1; + } + + for (i = n_wnaf - 1; i >= 0; i--) { + secp256k1_gej running_sum; + + for(j = 0; j < ECMULT_TABLE_SIZE(bucket_window+2); j++) { + secp256k1_gej_set_infinity(&buckets[j]); + } + + for (np = 0; np < no; ++np) { + int n = state->wnaf_na[np*n_wnaf + i]; + struct secp256k1_pippenger_point_state point_state = state->ps[np]; + secp256k1_ge tmp; + int idx; + + if (i == 0) { + /* correct for wnaf skew */ + int skew = point_state.skew_na; + if (skew) { + secp256k1_ge_neg(&tmp, &pt[point_state.input_pos]); + secp256k1_gej_add_ge_var(&buckets[0], &buckets[0], &tmp, NULL); + } + } + if (n > 0) { + idx = (n - 1)/2; + secp256k1_gej_add_ge_var(&buckets[idx], &buckets[idx], &pt[point_state.input_pos], NULL); + } else if (n < 0) { + idx = -(n + 1)/2; + secp256k1_ge_neg(&tmp, &pt[point_state.input_pos]); + secp256k1_gej_add_ge_var(&buckets[idx], &buckets[idx], &tmp, NULL); + } + } + + for(j = 0; j < bucket_window; j++) { + secp256k1_gej_double_var(r, r, NULL); + } + + secp256k1_gej_set_infinity(&running_sum); + /* Accumulate the sum: bucket[0] + 3*bucket[1] + 5*bucket[2] + 7*bucket[3] + ... + * = bucket[0] + bucket[1] + bucket[2] + bucket[3] + ... + * + 2 * (bucket[1] + 2*bucket[2] + 3*bucket[3] + ...) + * using an intermediate running sum: + * running_sum = bucket[0] + bucket[1] + bucket[2] + ... + * + * The doubling is done implicitly by deferring the final window doubling (of 'r'). + */ + for(j = ECMULT_TABLE_SIZE(bucket_window+2) - 1; j > 0; j--) { + secp256k1_gej_add_var(&running_sum, &running_sum, &buckets[j], NULL); + secp256k1_gej_add_var(r, r, &running_sum, NULL); + } + + secp256k1_gej_add_var(&running_sum, &running_sum, &buckets[0], NULL); + secp256k1_gej_double_var(r, r, NULL); + secp256k1_gej_add_var(r, r, &running_sum, NULL); + } + return 1; +} + +/** + * Returns optimal bucket_window (number of bits of a scalar represented by a + * set of buckets) for a given number of points. + */ +static int secp256k1_pippenger_bucket_window(size_t n) { + if (n <= 1) { + return 1; + } else if (n <= 4) { + return 2; + } else if (n <= 20) { + return 3; + } else if (n <= 57) { + return 4; + } else if (n <= 136) { + return 5; + } else if (n <= 235) { + return 6; + } else if (n <= 1260) { + return 7; + } else if (n <= 4420) { + return 9; + } else if (n <= 7880) { + return 10; + } else if (n <= 16050) { + return 11; + } else { + return PIPPENGER_MAX_BUCKET_WINDOW; + } +} + +/** + * Returns the maximum optimal number of points for a bucket_window. + */ +static size_t secp256k1_pippenger_bucket_window_inv(int bucket_window) { + switch(bucket_window) { + case 1: return 1; + case 2: return 4; + case 3: return 20; + case 4: return 57; + case 5: return 136; + case 6: return 235; + case 7: return 1260; + case 8: return 1260; + case 9: return 4420; + case 10: return 7880; + case 11: return 16050; + case PIPPENGER_MAX_BUCKET_WINDOW: return SIZE_MAX; + } + return 0; +} + + +SECP256K1_INLINE static void secp256k1_ecmult_endo_split(secp256k1_scalar *s1, secp256k1_scalar *s2, secp256k1_ge *p1, secp256k1_ge *p2) { + secp256k1_scalar tmp = *s1; + secp256k1_scalar_split_lambda(s1, s2, &tmp); + secp256k1_ge_mul_lambda(p2, p1); + + if (secp256k1_scalar_is_high(s1)) { + secp256k1_scalar_negate(s1, s1); + secp256k1_ge_neg(p1, p1); + } + if (secp256k1_scalar_is_high(s2)) { + secp256k1_scalar_negate(s2, s2); + secp256k1_ge_neg(p2, p2); + } +} + +/** + * Returns the scratch size required for a given number of points (excluding + * base point G) without considering alignment. + */ +static size_t secp256k1_pippenger_scratch_size(size_t n_points, int bucket_window) { + size_t entries = 2*n_points + 2; + size_t entry_size = sizeof(secp256k1_ge) + sizeof(secp256k1_scalar) + sizeof(struct secp256k1_pippenger_point_state) + (WNAF_SIZE(bucket_window+1)+1)*sizeof(int); + return (sizeof(secp256k1_gej) << bucket_window) + sizeof(struct secp256k1_pippenger_state) + entries * entry_size; +} + +static int secp256k1_ecmult_pippenger_batch(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points, size_t cb_offset) { + const size_t scratch_checkpoint = secp256k1_scratch_checkpoint(error_callback, scratch); + /* Use 2(n+1) with the endomorphism, when calculating batch + * sizes. The reason for +1 is that we add the G scalar to the list of + * other scalars. */ + size_t entries = 2*n_points + 2; + secp256k1_ge *points; + secp256k1_scalar *scalars; + secp256k1_gej *buckets; + struct secp256k1_pippenger_state *state_space; + size_t idx = 0; + size_t point_idx = 0; + int i, j; + int bucket_window; + + secp256k1_gej_set_infinity(r); + if (inp_g_sc == NULL && n_points == 0) { + return 1; + } + + bucket_window = secp256k1_pippenger_bucket_window(n_points); + points = (secp256k1_ge *) secp256k1_scratch_alloc(error_callback, scratch, entries * sizeof(*points)); + scalars = (secp256k1_scalar *) secp256k1_scratch_alloc(error_callback, scratch, entries * sizeof(*scalars)); + state_space = (struct secp256k1_pippenger_state *) secp256k1_scratch_alloc(error_callback, scratch, sizeof(*state_space)); + if (points == NULL || scalars == NULL || state_space == NULL) { + secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); + return 0; + } + + state_space->ps = (struct secp256k1_pippenger_point_state *) secp256k1_scratch_alloc(error_callback, scratch, entries * sizeof(*state_space->ps)); + state_space->wnaf_na = (int *) secp256k1_scratch_alloc(error_callback, scratch, entries*(WNAF_SIZE(bucket_window+1)) * sizeof(int)); + buckets = (secp256k1_gej *) secp256k1_scratch_alloc(error_callback, scratch, (1<ps == NULL || state_space->wnaf_na == NULL || buckets == NULL) { + secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); + return 0; + } + + if (inp_g_sc != NULL) { + scalars[0] = *inp_g_sc; + points[0] = secp256k1_ge_const_g; + idx++; + secp256k1_ecmult_endo_split(&scalars[0], &scalars[1], &points[0], &points[1]); + idx++; + } + + while (point_idx < n_points) { + if (!cb(&scalars[idx], &points[idx], point_idx + cb_offset, cbdata)) { + secp256k1_scratch_apply_checkpoint(error_callback, scratch, scratch_checkpoint); + return 0; + } + idx++; + secp256k1_ecmult_endo_split(&scalars[idx - 1], &scalars[idx], &points[idx - 1], &points[idx]); + idx++; + point_idx++; + } + + secp256k1_ecmult_pippenger_wnaf(buckets, bucket_window, state_space, r, scalars, points, idx); + + /* Clear data */ + for(i = 0; (size_t)i < idx; i++) { + secp256k1_scalar_clear(&scalars[i]); + state_space->ps[i].skew_na = 0; + for(j = 0; j < WNAF_SIZE(bucket_window+1); j++) { + state_space->wnaf_na[i * WNAF_SIZE(bucket_window+1) + j] = 0; + } + } + for(i = 0; i < 1< max_alloc) { + break; + } + space_for_points = max_alloc - space_overhead; + + n_points = space_for_points/entry_size; + n_points = n_points > max_points ? max_points : n_points; + if (n_points > res) { + res = n_points; + } + if (n_points < max_points) { + /* A larger bucket_window may support even more points. But if we + * would choose that then the caller couldn't safely use any number + * smaller than what this function returns */ + break; + } + } + return res; +} + +/* Computes ecmult_multi by simply multiplying and adding each point. Does not + * require a scratch space */ +static int secp256k1_ecmult_multi_simple_var(secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n_points) { + size_t point_idx; + secp256k1_scalar szero; + secp256k1_gej tmpj; + + secp256k1_scalar_set_int(&szero, 0); + secp256k1_gej_set_infinity(r); + secp256k1_gej_set_infinity(&tmpj); + /* r = inp_g_sc*G */ + secp256k1_ecmult(r, &tmpj, &szero, inp_g_sc); + for (point_idx = 0; point_idx < n_points; point_idx++) { + secp256k1_ge point; + secp256k1_gej pointj; + secp256k1_scalar scalar; + if (!cb(&scalar, &point, point_idx, cbdata)) { + return 0; + } + /* r += scalar*point */ + secp256k1_gej_set_ge(&pointj, &point); + secp256k1_ecmult(&tmpj, &pointj, &scalar, NULL); + secp256k1_gej_add_var(r, r, &tmpj, NULL); + } + return 1; +} + +/* Compute the number of batches and the batch size given the maximum batch size and the + * total number of points */ +static int secp256k1_ecmult_multi_batch_size_helper(size_t *n_batches, size_t *n_batch_points, size_t max_n_batch_points, size_t n) { + if (max_n_batch_points == 0) { + return 0; + } + if (max_n_batch_points > ECMULT_MAX_POINTS_PER_BATCH) { + max_n_batch_points = ECMULT_MAX_POINTS_PER_BATCH; + } + if (n == 0) { + *n_batches = 0; + *n_batch_points = 0; + return 1; + } + /* Compute ceil(n/max_n_batch_points) and ceil(n/n_batches) */ + *n_batches = 1 + (n - 1) / max_n_batch_points; + *n_batch_points = 1 + (n - 1) / *n_batches; + return 1; +} + +typedef int (*secp256k1_ecmult_multi_func)(const secp256k1_callback* error_callback, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t); +static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n) { + size_t i; + + int (*f)(const secp256k1_callback* error_callback, secp256k1_scratch*, secp256k1_gej*, const secp256k1_scalar*, secp256k1_ecmult_multi_callback cb, void*, size_t, size_t); + size_t n_batches; + size_t n_batch_points; + + secp256k1_gej_set_infinity(r); + if (inp_g_sc == NULL && n == 0) { + return 1; + } else if (n == 0) { + secp256k1_scalar szero; + secp256k1_scalar_set_int(&szero, 0); + secp256k1_ecmult(r, r, &szero, inp_g_sc); + return 1; + } + if (scratch == NULL) { + return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n); + } + + /* Compute the batch sizes for Pippenger's algorithm given a scratch space. If it's greater than + * a threshold use Pippenger's algorithm. Otherwise use Strauss' algorithm. + * As a first step check if there's enough space for Pippenger's algo (which requires less space + * than Strauss' algo) and if not, use the simple algorithm. */ + if (!secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, secp256k1_pippenger_max_points(error_callback, scratch), n)) { + return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n); + } + if (n_batch_points >= ECMULT_PIPPENGER_THRESHOLD) { + f = secp256k1_ecmult_pippenger_batch; + } else { + if (!secp256k1_ecmult_multi_batch_size_helper(&n_batches, &n_batch_points, secp256k1_strauss_max_points(error_callback, scratch), n)) { + return secp256k1_ecmult_multi_simple_var(r, inp_g_sc, cb, cbdata, n); + } + f = secp256k1_ecmult_strauss_batch; + } + for(i = 0; i < n_batches; i++) { + size_t nbp = n < n_batch_points ? n : n_batch_points; + size_t offset = n_batch_points*i; + secp256k1_gej tmp; + if (!f(error_callback, scratch, &tmp, i == 0 ? inp_g_sc : NULL, cb, cbdata, nbp, offset)) { + return 0; + } + secp256k1_gej_add_var(r, r, &tmp, NULL); + n -= nbp; + } + return 1; +} +#endif + +#endif /* SECP256K1_ECMULT_IMPL_H */ diff --git a/secp256k1/ecmult_static_pre_g.h b/secp256k1/ecmult_static_pre_g.h new file mode 100644 index 00000000000..9072fb26886 --- /dev/null +++ b/secp256k1/ecmult_static_pre_g.h @@ -0,0 +1,16611 @@ +/* This file was automatically generated by gen_ecmult_static_pre_g. */ +/* This file contains an array secp256k1_pre_g with odd multiples of the base point G and + * an array secp256k1_pre_g_128 with odd multiples of 2^128*G for accelerating the computation of a*P + b*G. + */ +#ifndef SECP256K1_ECMULT_STATIC_PRE_G_H +#define SECP256K1_ECMULT_STATIC_PRE_G_H +#include "group.h" +#ifdef S + #error macro identifier S already in use. +#endif +#define S(a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p) SECP256K1_GE_STORAGE_CONST(0x##a##u,0x##b##u,0x##c##u,0x##d##u,0x##e##u,0x##f##u,0x##g##u,0x##h##u,0x##i##u,0x##j##u,0x##k##u,0x##l##u,0x##m##u,0x##n##u,0x##o##u,0x##p##u) +#if ECMULT_TABLE_SIZE(ECMULT_WINDOW_SIZE) > 8192 + #error configuration mismatch, invalid ECMULT_WINDOW_SIZE. Try deleting ecmult_static_pre_g.h before the build. +#endif +#if defined(EXHAUSTIVE_TEST_ORDER) +#if EXHAUSTIVE_TEST_ORDER == 13 +#define WINDOW_G 4 +static const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(c3459c3d,35326167,cd86cce8,7a2417f,5b8bd567,de8538ee,d507b0c,d128f5bb,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24) +,S(ae64a1bd,38872f22,f637b457,125cc859,e4c7a31b,cf553cf5,b96e7096,cc61cc10,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24) +,S(851695d4,9a83f8ef,919bb861,53cbcb16,630fb68a,ed0a766a,3ec693d6,8e6afa40,3c915051,a5fb60b4,fec49de6,e4385101,59f30035,b6502bc0,f5edba86,9753a96c) +,S(0,0,0,0,0,0,0,1,c36eafae,5a049f4b,13b6219,1bc7aefe,a60cffca,49afd43f,a124578,68ac52c3) +}; +static const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(8e55c205,92466f75,3c417ec0,e600f626,bfac877c,52258a1c,3941145a,62753693,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24) +,S(c3459c3d,35326167,cd86cce8,7a2417f,5b8bd567,de8538ee,d507b0c,d128f5bb,8e467fec,cd30000a,6cc1184e,25d382c2,a2f4494e,2fbe9abc,8b64abac,d005fb24) +,S(0,0,0,0,0,0,0,1,3c915051,a5fb60b4,fec49de6,e4385101,59f30035,b6502bc0,f5edba86,9753a96c) +,S(7ae96a2b,657c0710,6e64479e,ac3434e9,9cf04975,12f58995,c1396c28,719501ee,c36eafae,5a049f4b,13b6219,1bc7aefe,a60cffca,49afd43f,a124578,68ac52c3) +}; +#elif EXHAUSTIVE_TEST_ORDER == 199 +#define WINDOW_G 8 +static const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(226e653f,c8df7744,9bacbf12,7d1dcbf9,87f05b2a,e7edbd28,1f564575,c48dcf18,a13872c2,e933bb17,5d9ffd5b,b5b6e10c,57fe3c00,baaaa15a,e003ec3e,9c269bae) +,S(ff1755e,623c8369,f55edda4,2a5deef0,b32c57f4,80c5884f,d2a2dde1,b1c078c4,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242) +,S(64dd1439,5d19a544,a7a1e81b,b9d079b3,593e7022,6bcd444e,6dc8197a,1a6dc3e6,2c7f2dce,e421d852,d3bff68e,993c8bb4,c189d3be,bd4fa667,6a599f9f,8c639c50) +,S(199d1eb1,5a28f0aa,7258651b,ff07ff13,1c988fa,dc41dc67,390c3172,54b98016,d670e3f1,6fc2382,46bf323f,127e7c14,576e3a64,5d5c41da,40f22b29,4fca876c) +,S(3d303d12,f8eb67d0,ecaee514,bdd90e57,b58b6d6a,c896a26f,78c06103,52225b04,d282f481,b04bece2,60de6995,b58c4f0d,9c6121e0,d94f45da,f5da7f13,cfefef99) +,S(76bb4d25,c7a005dc,49a5295f,bb92bf1e,5d0dd5f6,609c2008,54f37361,23a6f9f3,e2295c71,21478f52,d4d18aa,72cd82ae,1995d37e,6ef2e05a,4dea6ee2,6371fbe3) +,S(8735fb32,6950ae71,31cd03f7,cc1511d8,65c87e84,748c9824,8ccc576e,5480ed8,39cfeb15,665f371f,535d56c1,317a8d62,29ea2827,943a98f1,cee7f685,86e47eec) +,S(8521a020,a8e7cc5e,d9534d74,d4656581,33869bc,1940548d,6cc35ba4,e3c4323a,c63014ea,99a0c8e0,aca2a93e,ce85729d,d615d7d8,6bc5670e,31180979,791b7d43) +,S(2f63a396,4d14ca73,2167e033,306863d8,f75605c7,4ea6c917,890dd50d,fc20f53b,e2295c71,21478f52,d4d18aa,72cd82ae,1995d37e,6ef2e05a,4dea6ee2,6371fbe3) +,S(c479fee8,e2202b42,1c9346fb,4e59f720,95a70dea,2ade9641,58bad01c,2c37f,6897db9d,5a3d8948,ea97069e,de75661,b1ad74e4,2b1daa4f,533d88ba,67137731) +,S(4d756b2,e61d9806,e02ec830,f1fd44f8,46438689,c528346,15a1addf,ac864bcd,c90704c9,8f72d8be,638a36dc,e8768909,fac7921c,dc54d314,89fbb3e,6da9018a) +,S(baeab1a8,bca6e88,740deeb5,93887afe,295155ba,fa50f307,baf2de95,2841dca6,a88e0162,de086e20,587faa5c,bca8f572,318c17e9,5668819c,13c4d5d9,2d1c75dc) +,S(47bbafcd,f612ca3e,703f7721,623bde14,926fc00d,a6bf9e9,41ddb2d5,587626e3,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0) +,S(f9d5cda0,a41aea0e,f0afc533,e1b50808,3acc6043,e04e55bb,77421ab,1cebb8ec,f8a4cc8e,538e1b7f,627c6713,7c896eb1,c5548159,f434695a,ea394c63,592d41cf) +,S(26e2e75b,aeb04a72,8b893f67,d27ebfc6,b8984a88,6fbd8eee,5719107d,5a413f0f,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8) +,S(318ef624,4d411c97,913a7bb3,8f07b960,e6c57afa,f1edc5bf,e708da8a,954f68ac,37d97203,d25d9c14,53827e27,9474afb2,92943df0,8ba1108a,43644c86,ee6c87e4) +,S(eac612b0,84cb452a,35d49c60,c0d0c0bd,359eb909,68a80186,92a028f,ece4c331,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e) +,S(9f5ed380,fa5188a1,cb1c84df,cb7e2aad,939cdfde,581d765b,95c1c25,43016afb,423923ad,75aa7eb1,259434a7,1d58c469,f6268a38,5cd8fb7c,4be64d63,fad9bcea) +,S(ee534645,42ff07e2,8cf783ee,1da96e00,b81f531,9b9a4885,27f92302,acd12cac,c90704c9,8f72d8be,638a36dc,e8768909,fac7921c,dc54d314,89fbb3e,6da9018a) +,S(1130e02f,29480660,b2cb4f68,81da3f2c,1bdaf64,8df3b6ce,1a333738,29e4165e,ef2b477b,a9c921df,5ff65b6e,7c6f96a8,627743ff,a53e3858,cd9d7673,f7435ac4) +,S(e8d3f45a,b5be455f,dc3c2270,34100ca2,b8d203e1,35a9ed3d,5c8b703c,ef4d9b48,2d7d0b7e,4fb4131d,9f21966a,4a73b0f2,639ede1f,26b0ba25,a2580eb,30100c96) +,S(eb5c4120,4917d176,6fea883b,e680dfd9,233d9654,97fac48b,76f5d0d4,7f6dbf73,97682462,a5c276b7,1568f961,f218a99e,4e528b1b,d4e255b0,acc27744,98ec84fe) +,S(4097892c,5478baea,62e8da20,6d17fcd8,b8eed45f,24fb7648,fe742508,8da60a4e,10d4b884,5636de20,a009a491,83906957,9d88bc00,5ac1c7a7,3262898b,8bca16b) +,S(9963e528,754cbba8,29622664,1aec11b0,3fba2739,40f61cbd,5d4c0478,5429f40,d670e3f1,6fc2382,46bf323f,127e7c14,576e3a64,5d5c41da,40f22b29,4fca876c) +,S(853cffd4,4cb0a29e,390ad886,455566cc,2776ab74,55210e57,9bf1fcc0,c8d767ed,621fdd8d,dd929f3f,681a6f83,bf8061f8,2b4396a6,5df86be6,ec656a86,b1b730b0) +,S(7fe309bb,e3e8edd3,3f5f94b,4247256e,41e62e69,fd9f2063,d878c6d6,3d85675f,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e) +,S(851695d4,9a83f8ef,919bb861,53cbcb16,630fb68a,ed0a766a,3ec693d6,8e6afa40,cb47a6a4,91313828,f036dbd7,64173a40,473d3969,5cc47758,511d0a81,badb02f1) +,S(f31a7dfe,4d2e4a98,aaf3dd70,25441c7a,2da056b0,db6795e8,3a39d76f,b316bd92,17e98bbd,6e144db,959b7aea,cd766958,7be26db5,445ea19d,dab8bc90,1f527cb4) +,S(2266b5e,d5cef55,81e36315,c5fc5c53,a1c73b12,c24c8de7,9afef2a0,7a50212c,7a60fc27,e4ab0ba6,ea71c036,52b83c5c,5ab5dac8,ea43dec2,84719f8c,6d7c3c81) +,S(e0089ec9,4b25ac6,ff44b5da,2dfedb37,9fdaedf1,6bc8cecd,b1a95fa0,32431c73,17e98bbd,6e144db,959b7aea,cd766958,7be26db5,445ea19d,dab8bc90,1f527cb4) +,S(896c7bc,5cfeaecc,37b111ea,2deee270,c7cb24eb,6eb1cb80,a84e87d3,89d997c1,66446d0d,b01a679b,59afb34a,2bbf8cfe,f0a44870,f0e074ce,78a51a36,9bbbf33c) +,S(709c8403,ed2fd0f9,5fac44f0,dfa96ec2,e7b357e4,4ebb3dcf,6f688f20,39d3d67d,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0) +,S(142f854d,ba0b87a2,9826f018,86ab51ff,b9f19214,c23c07c0,f008a375,a1effdb6,74bafd32,bdf2bdfd,c65a52c3,5ef4f4d,9332f7b2,a0512a9f,f821f858,484bb9c) +,S(66abbf18,f58dd1c9,4b6072c,eb182abe,c31d3af9,6d91060b,d233f462,5716f289,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf) +,S(7a1b727f,c05c6de2,79b2e027,108fae3e,87ca9249,eb44207f,286e1cbe,4728027,9de02272,226d60c0,97e5907c,407f9e07,d4bc6959,a2079419,139a9578,4e48cb7f) +,S(3d98fe85,5d42f661,e35d8ce3,cfee5f17,57bc3de9,ecec02fa,11a2d90,378ac0e8,bdc6dc52,8a55814e,da6bcb58,e2a73b96,9d975c7,a3270483,b419b29b,5263f45) +,S(34f8450b,18bffd3f,cbadcd08,5da5411b,ba2ef195,55753768,bf777307,3a2d4cb4,5771fe9d,21f791df,a78055a3,43570a8d,ce73e816,a9977e63,ec3b2a25,d2e38653) +,S(76dac07e,bc240289,791e6a9a,56abdc7,bdf2fac1,e7a0100b,5a0ee09e,3455cc33,8b4502cd,420d4202,39a5ad3c,fa10b0b2,6ccd084d,5faed560,7de07a6,fb7b4093) +,S(929effed,d3b91ccb,a985ab23,bef45c16,6d5ffaa3,22562529,b84d051c,f94044a1,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242) +,S(1ea4ff3b,5a0a78a9,fda9d73a,ea5f0629,886b083a,6d3beea4,d6bc96e1,b50da944,9edf1300,7f2b7fb2,92301e8c,77ddb63e,5f2d23c4,315118c1,8b1b6273,86bba11a) +,S(86fef7a7,b4d3b079,2c83a223,d1c929d6,6ca15202,f4b956a1,cf7ed2cb,83dba7c4,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8) +,S(c979de1c,1318f60f,a9929ff3,a6621b9,d15226e8,2883556e,36a5f77b,28e3b585,d7bd974a,b40a1bd3,a35a1ee9,16d32768,48e7bcfc,be70851d,8ba758b9,996d2099) +,S(2cdce338,ae1f5aa0,55c76cb5,acbd084e,3284bb5d,b8cf9b4a,141cc8ee,1aa61e59,17e98bbd,6e144db,959b7aea,cd766958,7be26db5,445ea19d,dab8bc90,1f527cb4) +,S(80c5672b,3f773975,b5829101,6fa9de9b,33863263,8a978db,934f04c1,3a909b85,55ebf47c,6835f232,5ea232b3,8af64478,65cbdce1,2f2c5a79,abc445fd,518ab677) +,S(521e20fc,9c7c0514,47f31e74,5bb81662,dac66374,9b891a6f,d9681cb6,21e3155c,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8) +,S(b084fee5,5da62ee0,ebdebf3b,245e0d4e,def46aac,bfdc9f43,261d3e2b,eed946a0,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa) +,S(d8a3fd95,b7ed8e8a,674da307,94911393,303917c2,60944d1f,76261274,fba45757,5ec78d3d,16cc44e8,a26002a4,4a491ef3,a801c3ff,45555ea5,1ffc13c0,63d96081) +,S(c2d4b350,75ee5eb,3e2c8d3c,f33649dc,dd4f4c29,728bbdae,3f3ff02d,f3dc7415,6120ecff,80d4804d,6dcfe173,882249c1,a0d2dc3b,ceaee73e,74e49d8b,79445b15) +,S(9fa3c7bd,6b8544f2,df48309,596ea267,8f8537e1,dc406ec7,cf2c67d1,ae5f1e8a,c8268dfc,2da263eb,ac7d81d8,6b8b504d,6d6bc20f,745eef75,bc9bb378,1193744b) +,S(0,0,0,0,0,0,0,1,34b8595b,6ecec7d7,fc92428,9be8c5bf,b8c2c696,a33b88a7,aee2f57d,4524f93e) +,S(969360d2,54e2dba9,e79d0789,c339250d,c438330a,a66addf9,f27e2ee8,fc9036ac,99bb92f2,4fe59864,a6504cb5,d4407301,f5bb78f,f1f8b31,875ae5c8,644408f3) +,S(318f2c1f,3dc109ad,ed9d8958,e2e6eb8c,e26eec32,f2725ad1,68e116c7,497e7044,75b3371,ac71e480,9d8398ec,8376914e,3aab7ea6,bcb96a5,15c6b39b,a6d2ba60) +,S(bcea96e9,4ff1b11e,6e8a09d6,ec594b00,597e2b0a,37b0e581,50a58d59,33220419,7f0c4863,45a07ba8,c0d55b8c,fe2ef3e0,649abc1e,47313a1f,1763291f,79733985) +,S(4ed9d2a,7f32fa30,fd059de5,ee512073,47d68d12,b77df5b8,6a83a814,3fcdd5c0,5ec78d3d,16cc44e8,a26002a4,4a491ef3,a801c3ff,45555ea5,1ffc13c0,63d96081) +,S(875c93a1,8ac5a86e,9e85e4aa,3c5ad0ac,3d697192,6384b05b,568604b3,8fee8fb6,3738dc95,97add4e5,c0a39af1,b98ccba2,7bb43333,e35ab481,54c52779,9191144b) +,S(47a7cc2e,1cbd64c8,301443ed,be1ab328,85dce80e,a6d8c847,4eb9be09,6db5fecf,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0) +,S(3e8a6608,17f28243,f363d67e,b874856f,1fc9810a,9da6c3f3,a72dd23f,ec45513e,8a8d4c8f,37d2572,6ca66369,59c9eca3,82bd076e,867092a0,b428ad99,2c54a63b) +,S(9556e393,974bcd02,c6356a53,fce819d4,887b188c,99b8de16,1e5d3697,d595cdce,23575727,9da3d12b,c0004d12,e06a9cda,8405c91e,b8118260,2793e62f,16c2a29e) +,S(5245e215,52c6f785,2cccef32,e9f54774,cfb6bb9b,c363ae72,71174df4,6d77fdcc,ca78f1f0,894a6670,19609169,78c251dc,64f969e,c25be4b4,202508d3,22d07f3b) +,S(5d6f8ab3,ca0a5fca,611b7738,16adb4f8,df73ad68,5ce45286,75101d00,54ff3eca,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242) +,S(a4465b18,b7f702e2,a8165184,834ce490,68fb0a51,6658734b,6229eda0,605911a2,c8c7236a,68522b1a,3f5c650e,4673345d,844bcccc,1ca54b7e,ab3ad885,6e6ee7e4) +,S(d49b0640,1e240c43,21b2b173,3b640c6a,e2c4b389,2d3f4f73,8faac78b,9995cf2e,75b3371,ac71e480,9d8398ec,8376914e,3aab7ea6,bcb96a5,15c6b39b,a6d2ba60) +,S(599db82f,8229ad47,7a662726,d2d351a6,f76cefd7,8fc376b1,ef6e344e,4e4dae3a,284268b5,4bf5e42c,5ca5e116,e92cd897,b7184303,418f7ae2,7458a745,6692db96) +,S(a0627644,ebc6a423,1f3e113b,eedbf9d8,21d9374a,af2e7c55,14ee7395,aa9992b7,859f03d8,1b54f459,158e3fc9,ad47c3a3,a54a2537,15bc213d,7b8e6072,9283bfae) +}; +static const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(ec823227,1d0e875a,8e1cf7e6,f9a35a15,749be650,1cc885c4,f383060b,46bd3d33,aa140b83,97ca0dcd,a15dcd4c,7509bb87,9a34231e,d0d3a586,543bba01,ae7545b8) +,S(66abbf18,f58dd1c9,4b6072c,eb182abe,c31d3af9,6d91060b,d233f462,5716f289,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf) +,S(4d756b2,e61d9806,e02ec830,f1fd44f8,46438689,c528346,15a1addf,ac864bcd,36f8fb36,708d2741,9c75c923,178976f6,5386de3,23ab2ceb,f76044c0,9256faa5) +,S(875c93a1,8ac5a86e,9e85e4aa,3c5ad0ac,3d697192,6384b05b,568604b3,8fee8fb6,c8c7236a,68522b1a,3f5c650e,4673345d,844bcccc,1ca54b7e,ab3ad885,6e6ee7e4) +,S(f3a864ac,edc7852f,f4dfae93,5f8588a6,96ff17bf,7233134e,6704ceb,16f3b74c,39cfeb15,665f371f,535d56c1,317a8d62,29ea2827,943a98f1,cee7f685,86e47eec) +,S(3e8a6608,17f28243,f363d67e,b874856f,1fc9810a,9da6c3f3,a72dd23f,ec45513e,8a8d4c8f,37d2572,6ca66369,59c9eca3,82bd076e,867092a0,b428ad99,2c54a63b) +,S(47bbafcd,f612ca3e,703f7721,623bde14,926fc00d,a6bf9e9,41ddb2d5,587626e3,d160b834,5807531a,327a7269,3627dab6,f9770a12,14eb182d,fa73ad15,41b57ff0) +,S(709c8403,ed2fd0f9,5fac44f0,dfa96ec2,e7b357e4,4ebb3dcf,6f688f20,39d3d67d,2e9f47cb,a7f8ace5,cd858d96,c9d82549,688f5ed,eb14e7d2,58c52e9,be4a7c3f) +,S(66fd0ada,7159c2df,fdd925e7,2eb70772,743e39e3,4c10d5cf,f58eac4e,a30e4157,8a8d4c8f,37d2572,6ca66369,59c9eca3,82bd076e,867092a0,b428ad99,2c54a63b) +,S(60d5d771,4e1e7589,e0b1e68c,ed7f881,73fca809,eae35685,65334942,79962dc2,99bb92f2,4fe59864,a6504cb5,d4407301,f5bb78f,f1f8b31,875ae5c8,644408f3) +,S(3d98fe85,5d42f661,e35d8ce3,cfee5f17,57bc3de9,ecec02fa,11a2d90,378ac0e8,bdc6dc52,8a55814e,da6bcb58,e2a73b96,9d975c7,a3270483,b419b29b,5263f45) +,S(2f63a396,4d14ca73,2167e033,306863d8,f75605c7,4ea6c917,890dd50d,fc20f53b,1dd6a38e,deb870ad,f2b2e755,8d327d51,e66a2c81,910d1fa5,b215911c,9c8e004c) +,S(bcea96e9,4ff1b11e,6e8a09d6,ec594b00,597e2b0a,37b0e581,50a58d59,33220419,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa) +,S(ae3796a4,823f3eb4,ea4bd677,110dc3fb,45537c3c,4d10d2e8,e758a3be,4875db83,ef2b477b,a9c921df,5ff65b6e,7c6f96a8,627743ff,a53e3858,cd9d7673,f7435ac4) +,S(5245e215,52c6f785,2cccef32,e9f54774,cfb6bb9b,c363ae72,71174df4,6d77fdcc,ca78f1f0,894a6670,19609169,78c251dc,64f969e,c25be4b4,202508d3,22d07f3b) +,S(26e2e75b,aeb04a72,8b893f67,d27ebfc6,b8984a88,6fbd8eee,5719107d,5a413f0f,61b51308,ac8643f0,7c18eda7,ef9a4196,aa66221,1b809acc,2b2cb538,23010ef8) +,S(e0089ec9,4b25ac6,ff44b5da,2dfedb37,9fdaedf1,6bc8cecd,b1a95fa0,32431c73,e8167442,f91ebb24,6a648515,328996a7,841d924a,bba15e62,2547436e,e0ad7f7b) 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+,S(226e653f,c8df7744,9bacbf12,7d1dcbf9,87f05b2a,e7edbd28,1f564575,c48dcf18,5ec78d3d,16cc44e8,a26002a4,4a491ef3,a801c3ff,45555ea5,1ffc13c0,63d96081) +,S(521e20fc,9c7c0514,47f31e74,5bb81662,dac66374,9b891a6f,d9681cb6,21e3155c,9e4aecf7,5379bc0f,83e71258,1065be69,f5599dde,e47f6533,d4d34ac6,dcfeed37) +,S(5472b5d0,4ba1ca80,236183b1,46e596e5,4b20b83b,248988c8,bbe8460e,3666f262,a829524e,a0f4e255,e0316e28,3308a2ba,6b7f4fa9,907e0075,7a9ede8b,e3270977) +,S(2ecd421e,47399e76,60d10143,1789a437,89b54d23,31d1cb78,49cabda2,bc5174f9,c8268dfc,2da263eb,ac7d81d8,6b8b504d,6d6bc20f,745eef75,bc9bb378,1193744b) +,S(4097892c,5478baea,62e8da20,6d17fcd8,b8eed45f,24fb7648,fe742508,8da60a4e,10d4b884,5636de20,a009a491,83906957,9d88bc00,5ac1c7a7,3262898b,8bca16b) +,S(eb5c4120,4917d176,6fea883b,e680dfd9,233d9654,97fac48b,76f5d0d4,7f6dbf73,6897db9d,5a3d8948,ea97069e,de75661,b1ad74e4,2b1daa4f,533d88ba,67137731) +,S(92b866ad,a37a3f2f,bc607717,96b2c74f,57dde74c,da8e015f,792df531,7eb21fa6,55ebf47c,6835f232,5ea232b3,8af64478,65cbdce1,2f2c5a79,abc445fd,518ab677) +,S(a78dab,f2f2ef7f,4d424752,aa1aeaf5,50bec241,bf9ad129,3b9fe680,32b6141b,9de02272,226d60c0,97e5907c,407f9e07,d4bc6959,a2079419,139a9578,4e48cb7f) +,S(b084fee5,5da62ee0,ebdebf3b,245e0d4e,def46aac,bfdc9f43,261d3e2b,eed946a0,80f3b79c,ba5f8457,3f2aa473,1d10c1f,9b6543e1,b8cec5e0,e89cd6df,868cc2aa) +,S(ff1755e,623c8369,f55edda4,2a5deef0,b32c57f4,80c5884f,d2a2dde1,b1c078c4,640db9f3,9dda2f51,ee3ef3db,775315aa,c06346f1,e31ff76f,83a24bb0,8fc93242) +,S(2cdce338,ae1f5aa0,55c76cb5,acbd084e,3284bb5d,b8cf9b4a,141cc8ee,1aa61e59,e8167442,f91ebb24,6a648515,328996a7,841d924a,bba15e62,2547436e,e0ad7f7b) +,S(3faf6744,2aebb675,c6b75911,e3d34f4c,a8f5b669,a4c438f2,2c163659,3e36c1ea,fc0b579e,cbaf2c74,7b5c792d,7b66abf2,dfb1a44d,2ed6a417,7e1fc6bd,a989b623) +,S(34772cad,ad5888f2,53a810b7,5b175b8d,e3a454e4,26a1b5a5,c003f222,8e7b45c0,d380d231,1bde27ad,2c400971,66c3744b,3e762c41,42b05998,95a6605f,739c5fdf) +,S(853cffd4,4cb0a29e,390ad886,455566cc,2776ab74,55210e57,9bf1fcc0,c8d767ed,621fdd8d,dd929f3f,681a6f83,bf8061f8,2b4396a6,5df86be6,ec656a86,b1b730b0) +,S(1130e02f,29480660,b2cb4f68,81da3f2c,1bdaf64,8df3b6ce,1a333738,29e4165e,10d4b884,5636de20,a009a491,83906957,9d88bc00,5ac1c7a7,3262898b,8bca16b) +,S(a0627644,ebc6a423,1f3e113b,eedbf9d8,21d9374a,af2e7c55,14ee7395,aa9992b7,7a60fc27,e4ab0ba6,ea71c036,52b83c5c,5ab5dac8,ea43dec2,84719f8c,6d7c3c81) +,S(1e864d74,9e96a16a,c4299b88,226aaff9,9a45ab9c,203853ac,ea0378ef,5715ded6,6120ecff,80d4804d,6dcfe173,882249c1,a0d2dc3b,ceaee73e,74e49d8b,79445b15) +}; +#else + #error No known generator for the specified exhaustive test group order. +#endif +#else /* !defined(EXHAUSTIVE_TEST_ORDER) */ +#define WINDOW_G ECMULT_WINDOW_SIZE +static const secp256k1_ge_storage secp256k1_pre_g[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(79be667e,f9dcbbac,55a06295,ce870b07,29bfcdb,2dce28d9,59f2815b,16f81798,483ada77,26a3c465,5da4fbfc,e1108a8,fd17b448,a6855419,9c47d08f,fb10d4b8) +#if ECMULT_TABLE_SIZE(WINDOW_G) > 1 +,S(f9308a01,9258c310,49344f85,f89d5229,b531c845,836f99b0,8601f113,bce036f9,388f7b0f,632de814,fe337e6,2a37f356,6500a999,34c2231b,6cb9fd75,84b8e672) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 2 +,S(2f8bde4d,1a072093,55b4a725,a5c5128,e88b84bd,dc619ab7,cba8d569,b240efe4,d8ac2226,36e5e3d6,d4dba9dd,a6c9c426,f788271b,ab0d6840,dca87d3a,a6ac62d6) +,S(5cbdf064,6e5db4ea,a398f365,f2ea7a0e,3d419b7e,330e39c,e92bdded,cac4f9bc,6aebca40,ba255960,a3178d6d,861a54db,a813d0b8,13fde7b5,a5082628,87264da) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 4 +,S(acd484e2,f0c7f653,9ad178a,9f559abd,e0979697,4c57e714,c35f110d,fc27ccbe,cc338921,b0a7d9fd,64380971,763b61e9,add888a4,375f8e0f,5cc262a,c64f9c37) +,S(774ae7f8,58a9411e,5ef4246b,70c65aac,5649980b,e5c17891,bbec1789,5da008cb,d984a032,eb6b5e19,243dd56,d7b7b365,372db1e2,dff9d6a8,301d74c9,c953c61b) +,S(f28773c2,d975288b,c7d1d205,c3748651,b075fbc6,610e58cd,deeddf8f,19405aa8,ab0902e,8d880a89,758212eb,65cdaf47,3a1a06da,521fa91f,29b5cb52,db03ed81) +,S(d7924d4f,7d43ea96,5a465ae3,95ff411,31e5946f,3c85f79e,44adbcf8,e27e080e,581e2872,a86c72a6,83842ec2,28cc6def,ea40af2b,d896d3a5,c504dc9f,f6a26b58) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 8 +,S(defdea4c,db677750,a420fee8,7eacf21,eb9898ae,79b97687,66e4faa0,4a2d4a34,4211ab06,94635168,e997b0ea,d2a93dae,ced1f4a0,4a95c0f6,cfb199f6,9e56eb77) +,S(2b4ea0a7,97a443d2,93ef5cff,444f4979,f06acfeb,d7e86d27,74756561,38385b6c,85e89bc0,37945d93,b343083b,5a1c8613,1a01f60c,50269763,b570c854,e5c09b7a) +,S(352bbf4a,4cdd1256,4f93fa33,2ce33330,1d9ad402,71f81071,81340aef,25be59d5,321eb407,5348f534,d59c1825,9dda3e1f,4a1b3b2e,71b1039c,67bd3d8b,cf81998c) +,S(2fa2104d,6b38d11b,2300105,59879124,e42ab8df,eff5ff29,dc9cdadd,4ecacc3f,2de1068,295dd865,b6456933,5bd5dd80,181d70ec,fc882648,423ba76b,532b7d67) +,S(9248279b,9b4d68d,ab21a9b0,66edda83,263c3d84,e09572e2,69ca0cd7,f5453714,73016f7b,f234aade,5d1aa71b,dea2b1ff,3fc0de2a,887912ff,e54a32ce,97cb3402) +,S(daed4f2b,e3a8bf27,8e70132f,b0beb752,2f570e14,4bf615c0,7e996d44,3dee8729,a69dce4a,7d6c98e8,d4a1aca8,7ef8d700,3f83c230,f3afa726,ab40e522,90be1c55) +,S(c44d12c7,65d812e,8acf28d7,cbb19f90,11ecd9e9,fdf281b0,e6a3b5e8,7d22e7db,2119a460,ce326cdc,76c45926,c982fdac,e106e86,1edf61c5,a039063f,e0e6482) +,S(6a245bf6,dc698504,c89a20cf,ded60853,152b6953,36c28063,b61c65cb,d269e6b4,e022cf42,c2bd4a70,8b3f5126,f16a24ad,8b33ba48,d0423b6e,fd5e6348,100d8a82) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 16 +,S(1697ffa6,fd9de627,c077e3d2,fe541084,ce13300b,bec1146,f95ae57f,d0bd6a5,b9c398f1,86806f5d,27561506,e4557433,a2cf1500,9e498ae7,adee9d63,d01b2396) +,S(605bdb01,9981718b,986d0f07,e834cb0d,9deb8360,ffb7f61d,f982345e,f27a7479,2972d2d,e4f8d206,81a78d93,ec96fe23,c26bfae8,4fb14db4,3b01e1e9,56b8c49) +,S(62d14dab,4150bf49,7402fdc4,5a215e10,dcb01c35,4959b10c,fe31c7e9,d87ff33d,80fc06bd,8cc5b010,98088a19,50eed0db,1aa1329,67ab4722,35f56424,83b25eaf) +,S(80c60ad0,40f27da,de5b4b06,c408e56b,2c50e9f5,6b9b8b42,5e555c2f,86308b6f,1c38303f,1cc5c30f,26e66bad,7fe72f70,a65eed4c,be7024eb,1aa01f56,430bd57a) +,S(7a9375ad,6167ad54,aa74c634,8cc54d34,4cc5dc94,87d84704,9d5eabb0,fa03c8fb,d0e3fa9,eca87269,9559e0d,79269046,bdc59ea1,c70ce2b,2d499ec,224dc7f7) +,S(d528ecd9,b696b54c,907a9ed0,45447a79,bb408ec3,9b68df50,4bb51f45,9bc3ffc9,eecf4125,3136e5f9,9966f218,81fd656e,bc434540,5c520dbc,63465b5,21409933) +,S(49370a4,b5f43412,ea25f514,e8ecdad0,5266115e,4a7ecb13,87231808,f8b45963,758f3f41,afd6ed42,8b3081b0,512fd62a,54c3f3af,bb5b6764,b653052a,12949c9a) +,S(77f23093,6ee88cbb,d73df930,d64702ef,881d811e,e1498e2,f1c13eb1,fc345d74,958ef42a,7886b640,a08266e,9ba1b378,96c95330,d97077cb,be8eb3c7,671c60d6) +,S(f2dac991,cc4ce4b9,ea44887e,5c7c0bce,58c80074,ab9d4dba,eb28531b,7739f530,e0dedc9b,3b2f8dad,4da1f32d,ec2531df,9eb5fbeb,598e4fd,1a117dba,703a3c37) +,S(463b3d9f,662621fb,1b4be8fb,be252012,5a216cdf,c9dae3de,bcba4850,c690d45b,5ed430d7,8c296c35,43114306,dd8622d7,c622e27c,970a1de3,1cb377b0,1af7307e) +,S(f16f8042,44e46e2a,9232d4a,ff3b5997,6b98fac1,4328a2d1,a32496b4,9998f247,cedabd9b,82203f7e,13d206fc,df4e33d9,2a6c53c2,6e5cce26,d6579962,c4e31df6) +,S(caf75427,2dc84563,b0352b7a,14311af5,5d245315,ace27c65,369e15f7,151d41d1,cb474660,ef35f5f2,a41b643f,a5e46057,5f4fa9b7,962232a5,c32f9083,18a04476) +,S(2600ca4b,282cb986,f85d0f17,9979d8b,44a09c07,cb86d7c1,24497bc8,6f082120,4119b887,53c15bd6,a693b03f,cddbb45d,5ac6be74,ab5f0ef4,4b0be947,5a7e4b40) +,S(7635ca72,d7e8432c,338ec53c,d12220bc,1c48685,e24f7dc8,c602a774,6998e435,91b6496,9489d61,3d1d5e59,f78e6d7,4ecfc061,d57048ba,d9e76f30,2c5b9c61) +,S(754e3239,f325570c,dbbf4a87,deee8a66,b7f2b334,79d468fb,c1a50743,bf56cc18,673fb86,e5bda30f,b3cd0ed3,4ea49a0,23ee33d0,197a695d,c5d9809,3c536683) +,S(e3e6bd10,71a1e96a,ff57859c,82d570f0,33080066,1d1c952f,9fe26946,91d9b9e8,59c9e0bb,a394e76f,40c0aa58,379a3cb6,a5a22839,93e90c41,67002af4,920e37f5) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 32 +,S(186b483d,56a0338,26ae73d8,8f732985,c4ccb1f3,2ba35f4b,4cc47fdc,f04aa6eb,3b952d32,c67cf77e,2e17446e,204180ab,21fb8090,895138b4,a4a797f8,6e80888b) +,S(df9d70a6,b9876ce5,44c98561,f4be4f72,5442e6d2,b737d9c9,1a832172,4ce0963f,55eb2daf,d84d6ccd,5f862b78,5dc39d4a,b1572227,20ef9da2,17b8c45c,f2ba2417) +,S(5edd5cc2,3c51e87a,497ca815,d5dce0f8,ab52554f,849ed899,5de64c5f,34ce7143,efae9c8d,bc141306,61e8cec0,30c89ad0,c13c66c0,d17a2905,cdc706ab,7399a868) +,S(290798c2,b6476830,da12fe02,287e9e77,7aa3fba1,c355b17a,722d362f,84614fba,e38da76d,cd440621,988d00bc,f79af25d,5b29c094,db2a2314,6d003afd,41943e7a) +,S(af3c423a,95d9f5b3,54754ef,a150ac39,cd29552f,e3602573,62dfdece,f4053b45,f98a3fd8,31eb2b74,9a93b0e6,f35cfb40,c8cd5aa6,67a15581,bc2feded,498fd9c6) +,S(766dbb24,d134e745,cccaa28c,99bf2749,6bb66b2,6dcf98df,8d2fed50,d884249a,744b1152,eacbe5e3,8dcc8879,80da38b8,97584a65,fa06cedd,2c924f97,cbac5996) +,S(59dbf46f,8c94759b,a21277c3,3784f416,45f7b44f,6c596a58,ce92e666,191abe3e,c534ad44,175fbc30,f4ea6ce,648309a0,42ce739a,7919798c,d85e216c,4a307f6e) +,S(f13ada95,103c4537,305e691e,74e9a4a8,dd647e71,1a95e73c,b62dc601,8cfd87b8,e13817b4,4ee14de6,63bf4bc8,8341f32,6949e21a,6a75c257,778419b,daf5733d) +,S(7754b4fa,e8aced0,6d4167a2,c59cca4c,da1869c0,6ebadfb6,48855001,5a88522c,30e93e86,4e669d82,224b967c,3020b8fa,8d1e4e35,b6cbcc5,37a48b57,841163a2) +,S(948dcadf,5990e048,aa3874d4,6abef9d7,1858f95,de8041d2,a6828c99,e2262519,e491a425,37f6e597,d5d28a32,24b1bc25,df9154ef,bd2ef1d2,cbba2cae,5347d57e) +,S(79624144,50c76c16,89c7b48f,8202ec37,fb224cf5,ac0bfa15,70328a8a,3d7c77ab,100b610e,c4ffb476,d5c1fc1,33ef6f6b,12507a05,1f04ac57,60afa5b2,9db83437) +,S(35140878,34964b54,b15b1606,44d91548,5a169772,25b8847b,b0dd0851,37ec47ca,ef0afbb2,5620544,8e1652c4,8e8127fc,6039e77c,15c2378b,7e7d15a0,de293311) +,S(d3cc30ad,6b483e4b,c79ce2c9,dd8bc549,93e947eb,8df787b4,42943d3f,7b527eaf,8b378a22,d827278d,89c5e9be,8f9508ae,3c2ad462,90358630,afb34db0,4eede0a4) +,S(1624d847,80732860,ce1c78fc,bfefe08b,2b29823d,b913f649,3975ba0f,f4847610,68651cf9,b6da903e,914448c,6cd9d4ca,896878f5,282be4c8,cc06e2a4,4078575) +,S(733ce80d,a955a8a2,6902c956,33e62a98,5192474b,5af207da,6df7b4fd,5fc61cd4,f5435a2b,d2badf7d,485a4d8b,8db9fcce,3e1ef8e0,201e4578,c54673bc,1dc5ea1d) +,S(15d94412,54945064,cf1a1c33,bbd3b49f,8966c509,2171e699,ef258dfa,b81c045c,d56eb30b,69463e72,34f5137b,73b84177,434800ba,cebfc685,fc37bbe9,efe4070d) +,S(a1d0fcf2,ec9de675,b612136e,5ce70d27,1c21417c,9d2b8aaa,ac138599,d0717940,edd77f50,bcb5a3ca,b2e90737,309667f2,641462a5,4070f3d5,19212d39,c197a629) +,S(e22fbe15,c0af8ccc,5780c073,5f84dbe9,a790bade,e8245c06,c7ca3733,1cb36980,a855bab,ad5cd60c,88b430a6,9f53a1a7,a3828915,4964799b,e43d06d7,7d31da06) +,S(311091dd,9860e8e2,ee13473,c1155f5f,69635e39,4704eaa7,40094522,46cfa9b3,66db656f,87d1f04f,ffd1f047,88c06830,871ec5a6,4feee685,bd80f0b1,286d8374) +,S(34c1fd04,d301be89,b31c0442,d3e6ac24,883928b4,5a934078,1867d423,2ec2dbdf,9414685,e97b1b59,54bd46f7,30174136,d57f1cee,b487443d,c5321857,ba73abee) +,S(f219ea5d,6b54701c,1c14de5b,557eb42a,8d13f3ab,bcd08aff,cc2a5e6b,49b8d63,4cb95957,e83d40b0,f73af454,4cccf6b1,f4b08d3c,7b27fb8,d8c2962a,400766d1) +,S(d7b8740f,74a8fbaa,b1f683db,8f45de26,543a5490,bca62708,72369124,69a0b448,fa779681,28d9c92e,e1010f33,7ad4717e,ff15db5e,d3c049b3,411e0315,eaa4593b) +,S(32d31c22,2f8f6f0e,f86f7c98,d3a3335e,ad5bcd32,abdd9428,9fe4d309,1aa824bf,5f3032f5,892156e3,9ccd3d79,15b9e1da,2e6dac9e,6f26e961,118d14b8,462e1661) +,S(7461f371,914ab326,71045a15,5d9831ea,8793d77c,d59592c4,340f86cb,c18347b5,8ec0ba23,8b96bec0,cbdddcae,aa44254,2eee1ff5,c986ea6,b39847b3,cc092ff6) +,S(ee079adb,1df18600,74356a25,aa38206a,6d716b2c,3e67453d,287698ba,d7b2b2d6,8dc2412a,afe3be5c,4c5f37e0,ecc5f9f6,a446989a,f04c4e25,ebaac479,ec1c8c1e) +,S(16ec93e4,47ec83f0,467b1830,2ee620f7,e65de331,874c9dc7,2bfd8616,ba9da6b5,5e463115,e62fb40,d0e8c2a7,ca5804a3,9d58186a,50e49713,9626778e,25b0674d) +,S(eaa5f980,c245f6f0,38978290,afa70b6b,d8855897,f98b6aa4,85b96065,d537bd99,f65f5d3e,292c2e08,19a52839,1c994624,d784869d,7e6ea67f,b1804102,4edc07dc) +,S(78c9407,544ac132,692ee191,a024399,58ae0487,7151342e,a96c4b6b,35a49f51,f3e03191,69eb9b85,d5404795,539a5e68,fa1fbd58,3c064d24,62b675f1,94a3ddb4) +,S(494f4be2,19a1a770,16dcd838,431aea00,1cdc8ae,7a6fc688,726578d9,702857a5,42242a96,9283a5f3,39ba7f07,5e36ba2a,f925ce30,d767ed6e,55f4b031,880d562c) +,S(a598a803,da6d86c,6bc7f2f5,144ea549,d28211ea,58faa70e,bf4c1e66,5c1fe9b5,204b5d6f,84822c30,7e4b4a71,40737aec,23fc63b6,5b35f86a,10026dbd,2d864e6b) +,S(c4191636,5abb2b5d,9192f5f,2dbeafec,208f020f,12570a18,4dbadc3e,58595997,4f14351,d0087efa,49d245b3,28984989,d5caf945,f34bfc0,ed16e96b,58fa9913) +,S(841d6063,a586fa47,5a724604,da03bc5b,92a2e0d2,e0a36acf,e4c73a55,14742881,73867f5,9c0659e8,1904f9a1,c7543698,e62562d6,744c169c,e7a36de0,1a8d6154) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 64 +,S(5e95bb39,9a6971d3,76026947,f89bde2f,282b3381,928be4d,ed112ac4,d70e20d5,39f23f36,6809085b,eebfc711,81313775,a99c9aed,7d8ba38b,161384c7,46012865) +,S(36e4641a,53948fd4,76c39f8a,99fd974e,5ec07564,b5315d8b,f99471bc,a0ef2f66,d2424b1b,1abe4eb8,164227b0,85c9aa94,56ea1349,3fd563e0,6fd51cf5,694c78fc) +,S(336581e,a7bfbbb2,90c191a2,f507a41c,f5643842,170e914f,aeab27c2,c579f726,ead12168,595fe1be,99252129,b6e56b33,91f7ab14,10cd1e0e,f3dcdcab,d2fda224) +,S(8ab89816,dadfd6b6,a1f2634f,cf00ec84,3781025,ed6890c4,84974270,6bd43ede,6fdcef09,f2f6d0a0,44e654ae,f624136f,503d459c,3e898458,58a47a91,29cdd24e) +,S(1e33f1a7,46c9c577,8133344d,9299fcaa,20b0938e,8acff254,4bb40284,b8c5fb94,6066025,7dd11b3a,a9c8ed61,8d24edff,2306d320,f1d03010,e33a7d20,57f3b3b6) +,S(85b7c1dc,b3cec1b7,ee7f30de,d79dd20a,ed1f4cc,18cbcfcf,a410361f,d8f08f31,3d98a9cd,d026dd43,f39048f2,5a8847f4,fcafad18,95d7a633,c6fed3c3,5e999511) +,S(29df9fbd,8d9e4650,9275f4b1,25d6d45d,7fbe9a3b,878a7af8,72a28006,61ac5f51,b4c4fe9,9c775a60,6e2d8862,179139ff,da61dc86,1c019e55,cd2876eb,2a27d84b) 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+,S(53f86d45,61deef96,ca88a685,38fd35ec,a95740a4,3a52c601,faaad0c2,aa3ab72f,667a6ece,bfb97682,c5e9e5df,b6d29156,9604f63,d9ab00ab,8cb10000,e6b01514) +,S(20990660,f1055420,b885fb0a,38824740,3b141c37,5aa20dce,8a29191a,e77bbb16,7d434476,9e302e38,9e14c02e,f5fd8a5c,64cfcf3d,e9813f1c,f53bc6d3,4da93559) +,S(1e70619c,381a6adc,e5d925e0,c9c74f97,3c02ff64,ff2662d7,34efc485,d2bce895,c923f771,f543ffed,42935c28,8474aaaf,80a46ad4,3c579ce0,bb5e663d,668b24b3) +#endif +}; +static const secp256k1_ge_storage secp256k1_pre_g_128[ECMULT_TABLE_SIZE(WINDOW_G)] = { + S(8f68b9d2,f63b5f33,9239c1ad,981f162e,e88c5678,723ea335,1b7b444c,9ec4c0da,662a9f2d,ba063986,de1d90c2,b6be215d,bbea2cfe,95510bfd,f23cbf79,501fff82) +#if ECMULT_TABLE_SIZE(WINDOW_G) > 1 +,S(38381dbe,2e509f22,8ba93363,f2451f08,fd845cb3,51d954be,18e2b8ed,d23809fa,e4a32d0a,fb917dc,b09405a5,520eb1cc,3681fccb,32d8f24d,bd707518,331fed52) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 2 +,S(49262724,e4372ae6,f6921b82,aa4699a1,f186aea5,40122630,3ea42648,97c2a310,1337e773,bca7abf9,5a2cfa56,9714303b,6d163612,a75ff8ce,c41b681,5e27ded0) +,S(e306568c,1a240c90,d5e253b3,e477e2f8,4dcc1a56,ff06db8d,1384b079,cebd2d31,eac6fe3,78934260,888f2b10,7f7d0db6,ffbc8042,be373826,692b4083,92546e44) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 4 +,S(3b9e100e,2428cefc,271b0e76,23fbd633,74ebf8d9,aab41dd9,c530c39e,363136b0,fafb9815,2d16bb71,df1533eb,8f475b26,a2ae28a3,3ad31f81,953ec16f,6cdbbc8a) +,S(bb0aad49,712ac9a9,2b76ca80,f5dedef7,17ca0768,8107beee,9608f047,2f485d3f,ea699c53,c5835479,8ecd201f,7297da34,895a5afa,31670bff,e7939250,3ca2f975) +,S(79090ac8,e4eefcc0,d4e8eb19,7afe0113,e1e58b4d,b01123de,4aeed33a,36718dc9,eaab722b,91905b8f,13d816cb,cd9aaa56,dd36afb7,ba9008b,963322b1,1cfae7c5) +,S(e77c81ad,e9f97b55,1c03dbbc,e549ba66,8dd71de7,cd775ad2,a269694c,7f60c7d1,3acf1478,eef81321,c5fc3b32,3ea81543,631470f7,1c2986d3,4ec581f2,82d72449) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 8 +,S(de2b5ce9,dbce511c,f2d8878e,3ded87cc,3d633dae,a2d45341,501fb3a4,55ccf6b0,f10576f3,d3c3e0e1,bbf717e9,8b1a3744,65b8c45a,c66318bb,34829eb7,11100666) +,S(d07bddff,d491a2fe,1ea59fbd,7c121217,29659ca5,de46658b,26b1460b,13c03c56,b2ad4708,cd3c97dd,f9c40e2,a1de04d5,61d963ff,8cc2eea7,6be3f60c,2b405ce7) +,S(82403e7c,5d3016af,3765ec4c,396ce8e1,f8da45c,434b8257,10edab41,bb6a4d51,d09661b,e27cb767,4456badd,b3e84051,99ab6ccc,4ec67c1b,11e92ead,7b463b19) +,S(eadc3131,fbd626f5,263faa58,c4caf4d9,930f933d,9541c23f,438cb486,750680cf,d3c977b1,c9b4a897,5c64b36c,972d5d01,a388fb9d,c3791a74,36094ff1,2c87a914) +,S(3903ee5f,6758ff24,c518a4b3,86748f4f,36bdd65c,b77e78ac,609f2909,fc7987d9,e92194e,a15241d6,40915934,bd234749,8d222a18,4927a8da,b0cfe2ae,182be83b) +,S(d0803b78,39ab48a3,8475bdcc,f9a9f219,5759c343,dbbf8e93,23e1f882,5be6a5d9,2cc3b180,ff29c97e,a12ec15f,b38bafa4,4ecf06c,e51d1d24,2894a926,64582f0b) +,S(1f56f096,b18a7499,a153a5ae,acf8be05,8496dd23,da8e6c19,215628fb,c0567ed0,fef22b8a,3b52f490,83004436,b65cd69,c94189f4,1a93c0d5,1fc13cb4,379dff58) +,S(1d9f69b1,a4a47432,e386f525,234aa30,79e947cf,cf203297,4e0fc05b,638e213b,d898ec17,949c0761,b38500c3,a2b1da24,5438d5b3,d3f6f720,41f15d6e,e4d4ccbb) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 16 +,S(128c913,4d9dcb78,12fc4361,5c67ad0,55213354,dc8008b1,aeb5a9dc,fb629efd,fee3e54a,dd152610,d9725936,99d662,c160c8e4,ec6f76e4,5ff41818,be67c96) +,S(21ec012f,5a95b94d,244b8d51,9756075c,301f2854,8e2c51fc,49c0e3d9,d1a9685,2def2105,77af497f,4c7fef71,6949f28e,7418eda6,fd5fc162,d128de19,3cde08ae) +,S(688f5202,fb9d8bc0,9e480e89,4c7cfc74,761c3be7,7dafb11c,58422836,3e331cc5,96ba7d59,63b541a7,2ec7cabd,92403434,1a393eaf,89eebd94,62d9c218,c7302cd3) +,S(fb5c9eea,1cb9a8f5,b3314c30,a50d35,744d0ef,e8bbf68,2e4d3ab4,f7f02baf,29fb8844,e18fc551,fb28bd26,95c5e95c,6868e0cc,7e526af0,91157e9d,fb630418) +,S(f1479fe2,2eedae3f,2f5f6a5d,84a9de1d,593168ec,7b52380d,e0b3625c,cac03421,1a642d5d,2fd88b82,13b50d1a,3fbd3419,c0b4630c,48352131,cb856b2e,22764606) +,S(2273edc5,e8199774,93c5b0e0,9fe0effa,f60f7b,2898565a,69f5c7b2,bf1a7950,b3aea238,8fd978d9,29f1a1df,98495358,b64691fc,4f50b530,906ae39e,fe7bda12) +,S(99f8480c,30504378,b47d10b3,2b39da2f,496d59f4,b1462856,56f05ad7,9bef5214,e001d55d,8e224286,8d8bd397,cb5aa99e,d930e437,e4e62151,71da7ae6,6264b2cd) +,S(382257f,e4751280,d74fdfc6,993c8642,9c000d5,87f57635,bc9656ba,996a6f1f,c2dc733d,fe52cb06,265a4f1d,a6b5f1f9,30dbfa39,e3659973,1c672aad,8b51d474) +,S(23a13632,9125386b,e45f4e1b,2acc847a,62e5eaf9,f6d5f452,6e145e7f,ecefb24b,9129777e,643ba22,2bf817a1,af7155f1,413cc370,3734ba6f,49f15f55,996854c0) +,S(6659ea60,58a664de,a35791a1,8c5cded4,8cf5593d,c440b9d4,8a30ac35,79149f0b,2adcc705,a85d836f,b347b69e,742fc6c3,5300d1d8,e534f1ff,c820c6d6,b2f2199d) +,S(52dc3bc6,e1acd3b4,7ece6f6c,89fd2a3e,2899b487,41421033,37a67dd,1ba939fc,5daeb346,32ad107f,bd83d9da,15a3c4ff,1e8f6ba3,ee5193e2,709e89c3,43d05746) +,S(524b2a97,93cd5745,bd9189ba,9c947bc1,693fbceb,75f074f6,17376b10,d5573551,9e8099d6,cb23fb1a,9deb92cc,3e8a2fb5,a6865ac6,3dececa0,2d146e1b,bcc80b71) +,S(732181a8,e2bc5953,923e6c3d,d960e9b7,525b7b95,e5906997,6fe79156,1782756e,2516c6b3,5592eb0a,42ba193c,bae98ab,e3c42d96,148f1d84,edac621a,722e4823) +,S(b8e8942d,926e38fd,f338496a,c2ef6fca,49a7ae3d,f76eb15d,8d570111,e502664b,7990d56e,7dea588e,4d670ba2,2031e6c7,97248641,69e51d77,f792f5ed,befaf8eb) +,S(144e88f6,3e73abff,72cac11e,7ddccf79,19e744e6,278941ae,18d1b797,e098e4e5,63cdbf3,5df3c655,c58197f,ea54633d,158705cf,7dc2eb3b,4e09f83c,3021837c) +,S(9436e3dc,489ecd8e,2d16a739,c9c73e3d,60e5bc93,68157039,75b8efbd,5c3a9081,1460531f,50cb6ebf,d1aa7806,ea84e7f7,8e8d76b2,b3a66d5e,3a0bf60,39a7e59c) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 32 +,S(9d3c2561,7a56d10b,46d9b01a,1710d193,e840e005,df669e76,1936c275,20890db9,6bbdc0bc,4c4ae9bc,c2dfee9b,82da9b94,1f89ffcd,e8af2aca,4467ce3,78521ea3) +,S(29f98e50,f51b7f8b,e18c6ae0,b453c4f2,d0aca5a8,b0e61d2d,dda8506,3fdb76c8,daf3bcdc,ae8e031c,73eb8b21,14058063,58a6ec30,ad379186,df80e3c7,f0e5d28f) +,S(d67d30c2,c71daa36,1805e31,1dd6046e,17a89752,94d76e1a,538af074,4dc22c94,48b9b0e7,12c807b0,b92e690a,a2e068cc,e87ebbbe,aaf4bd96,9c1114bb,a54f670c) +,S(f22c2ba8,8ce9c2e4,b772c9b7,6d03a017,59aa7b9,97a78334,83566027,2fc81649,6aa9e710,f190be16,243a4e0f,1570270a,2d92dca9,8cf99a3,cbc06fdd,f9b7028f) +,S(c5e718d,6b94c83,e52533c9,ef3234f,36b722ed,cfc074a5,eff30969,9ac5f894,24961051,ccfc6619,dd64e810,fa9c504b,f7f8ce9e,cc445d7e,642b3166,eeef436) +,S(26a8bcaa,c836eb7d,57618999,ef87ee4e,c291dc8b,333554a2,c1f66f73,7944d611,c20051ba,7236663,ace2da29,c1e0763c,e57192d0,e199e7a6,c69cc65d,bbbcecc9) +,S(388e3570,fb7b1545,9bf01ba1,7a6496d5,6bcf65e1,764e7aa,2c083346,2dfa098c,2d4e0d22,a2eb0ff0,545561e5,ae344be6,99120d12,45db6bde,a9500f5f,a07be798) +,S(68189bab,b5a0783e,23227efa,4eab2c6e,da2d1c,2ea57fca,7a7f8f72,15250709,bd30bd83,3694d3fa,a14954f6,251445f8,3e42d517,30d30855,a0eb834d,3c7ae856) +,S(642e0823,bb347795,967b7aa9,418a25,ea6ff683,fd7b3d42,b88d90d1,292190ab,db73dea7,86ec052f,e3674892,639daf39,286b4690,63b68903,210639c7,f3b4000f) +,S(9ab6ea81,e5bf5505,751addea,5896afab,7f4eff2f,d3986027,f916835c,64924afa,38c06aa7,4870a5e7,2ff29efc,bce4b3e7,dd951c9b,29966f2b,47d007ac,7629bb6c) +,S(b09805ae,e567f69c,71a98248,e89e64f9,e059e015,bde01a62,dd18158e,e94a8ee7,62aea16a,7ec912ef,cc5382eb,6d220ac3,dea885a8,e3da12c,8147b28e,1983d221) +,S(3d632a5b,636ed5a3,4a58bfbc,9831691a,91d6b5f0,975bfb5a,82b4c1bc,107e6e5,577a449e,75bf16d9,2eb6ba0f,9cb4d496,7a7ee09c,f1605aef,682cfa31,cf395a1c) +,S(6b821bf0,f70d5ff2,ceedb69d,d96ac8bb,b51e3635,3a36d50a,b1c1a697,40cef707,5212ce11,993fc120,88028674,5cddea94,6371b4,dfa2f47a,6d83b789,c6d12e5d) +,S(bf294951,4496fe0b,8527740b,5cd9394e,dc33b330,c91d996c,789db854,45728b23,790aede5,da35ce7a,343f745c,410de38f,4c53bc2a,bb41bbae,c13272b1,e912782c) +,S(a55354c3,82bf968a,16668267,c4498946,4906f69b,114f6f06,742b6035,1d75ec80,2809bddc,45661a5f,28b31967,6cdfb5b1,9dd6d296,d1828c88,179a630c,ca5962e8) +,S(fc015036,abcd8311,bbfa1574,ffb4980f,b893f8af,84f519f4,5a6fa344,2649a693,d0f6a278,1946e04b,385cd004,29acd3f6,f5542aca,3e7c789,657f676b,f19db819) +,S(6164410d,9f81f352,272a799f,b4afbe24,59caea6c,511fa4ea,b7578980,d9a7aae,92bc1480,ba19fcd,3cbee69c,95b9396f,4982fff5,d4e7dac0,abec7153,ee5a7966) +,S(ef816535,8de9d737,728f9a9b,3182b4f5,6e25917d,1ec05fc6,faa0fc85,170b5f2d,dc372426,403ca9c4,50649df8,8b6fd32d,f1721dc,cb1c7d7e,155c83ea,747ec595) +,S(428c34b9,89a436dd,dc704e68,170d2c40,178c5646,841eb2e2,642c0a48,8987a8ed,b1f24158,251c4646,ca04dc3e,64369634,3836f97e,71945f4f,51237abd,3aeebe06) +,S(6eb61782,f909157b,415e6243,7bebbd6a,5f19da73,7eda64a5,5acfe206,65417a9e,4fe7c546,baedf2b1,6c92f168,f99c42f6,af03edee,290ecc39,4c4efff,e8577b72) +,S(992e0af1,466d4fec,5ef83009,98ce31df,cb6f9573,d14c1646,e4371c62,a376fa4b,d0e3da69,1e4396b2,eb01e3a9,964365,50d000e6,31d79ae3,871690d5,29f9e825) +,S(fedb564b,adc70078,f20f31d1,12496934,513e9903,8cf5b9c3,1084383,5721d11,1a8e2a49,57e8420c,f2d5d97d,657f1602,ba26ae87,d5408b2f,a9448def,38157a39) +,S(f3f2068a,4dd89d18,1247088d,3c424916,3e683226,6274b575,e54430d0,73b24bd,f2aabd19,a7f462,1426ab1e,e0aa7e33,12381c5f,e1f1cf0e,75c1a7f7,7ba2bfa8) +,S(32b9225e,4217a359,8de4e7c1,476a8581,5b6aa458,d93dae02,b3d30772,3ca13680,7466e804,26856340,12985683,dd071e97,53246214,733808a3,96f35d0e,5a133802) +,S(85008a87,385ed6b0,4ff89979,2eb592f9,ee6c6b93,fa24dc7f,c6299b9f,dae64a8a,1f279e2b,8a5b0576,fb9569f6,c0825876,84b5b38f,a250e362,2ae6e284,a504a2df) +,S(4dac7833,ebbeab0b,ec8edac7,cfc49bfd,b835362,f0130e9,e44452f6,a82effd4,fc9d1970,f230aa68,6114ada5,7b4237dd,133dc3b5,db8ec1f0,ccd09aa,23c740a) +,S(9b755881,45a65d54,19b40226,e535df5b,4b44de41,1b93d71,31f3102,d56dbeeb,d0324171,d6937b7,c9b38290,7dbba3b5,c1516061,59e7ce1f,a1ed9d11,e089a02d) +,S(1bd6ceb9,2592a7d7,a66e6e8b,1b645db5,98b525ca,461dc4bd,b583ed9a,cbbc8bdd,9a59de87,84a98bea,48b7abb1,a5b7055,5a1c4ce5,551cde4e,7b790ac4,9a29944c) +,S(25a8b2b9,3b360941,6525b08a,7fe786e9,6b3a3c7d,8b444637,268f5355,bd5b56ee,3c58ccf7,5734687f,dbd027e6,3ec6c550,45f131ae,df71a40a,c45e4e8b,965f22ec) +,S(244b2833,27c33efb,221a5767,15225d6a,bf5a1caa,8da543c0,d88b21e5,17ed9f5f,220036ac,e48d8953,5aecec92,a29f5012,37f83ce6,44380db,c229f0bf,c1f53d7d) +,S(6f97ac0f,27b87905,6b442d13,e566978e,91f0cc1d,d6ac1e64,e9764a35,325dd1b7,83c6e70c,fac6c707,226ce1cc,691b38a0,7e937f5a,5f2d9c81,4dd0d3ff,9f433d32) +,S(72c5d60f,eb014e2d,ba8265ca,d454f261,2d6abcd4,b2236bad,c94c4801,561dce1f,e3119a19,7ef91963,b3b28216,3c5d3acb,97b281b6,d246cbf0,690b40da,63978fe2) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 64 +,S(a96d2da0,1b10186,6998659d,f441a1b0,2af32b94,aae8c6ea,707d9ed0,d5f33825,660d7d83,5da5235,9f7cfd41,28c370aa,5659ea71,16a91690,6c0e8108,a513f9f) +,S(2cce6f63,4d815ecc,1981d200,87616677,d906aa27,990c4875,17314dc5,5be3c4fa,615210dd,bd599e91,1b6f997a,fd05475,b33cb274,c9ecb6e5,d3c23323,beba4b50) +,S(992b0084,525dd399,d98602d9,8b8d53b2,4558fafc,758a2f46,60e89bd6,a645f0c4,83ca98d2,26545a29,8c45f40b,11420602,f5a5c70e,595eea57,2da64d61,a4e2f98d) +,S(434efb45,3089619f,cc761ee4,3fd4b77d,c6b0c69e,b45eb88e,44ef766e,9beb7357,3dbb0d6d,1c0b92e,5965586d,236c0be9,26967ac8,830b9bd0,1e9efc2,2a9291ea) +,S(a2179ad,2c683306,a2e4735,93efe304,f0dbf589,c4dc2b88,4bddc5c7,e3fbc156,ee4539f8,ab980176,a18e6dfa,bdb609d2,88a2d223,86dcb20,19207afa,f6033c1f) +,S(3934081e,d3e1e147,aa52bb40,9221ef6,a445f22a,66718f14,6d63907a,ef05a2e1,bc370656,31391b7a,209e79d4,9f1e959b,d3a9fefe,752c6062,14fab290,a7b5b3c7) +,S(35bc24e1,59a2b939,438354,6cc4255f,f1f3f7e2,105293db,39688e07,df95d8ef,dee1fc70,a9698da,f7abeb5c,56724f8,e87e0cd3,8849edfa,246ed0a8,9223ae15) +,S(f5d1e75c,251fb473,8552a0ee,f05d8e65,63aa14e1,bcae5b48,bc7e5258,b948127d,e260c1bc,7044f058,8f409134,d298528b,e7d586f4,bf7b6fe,92d212a8,6f7170fe) +,S(ee0a76d3,6fed282f,a1170dd,6acb7743,f9617bb3,60350f54,d12da1cc,7eb121c,f8cfc2db,eba6960f,e6135ef,ff9e10ca,4e56c458,4b42b516,6dbf7af1,420ba5b1) +,S(9e3b87cf,78927664,15cab377,f1774d14,4d1879f6,16da5676,f94790d1,9ca689d8,f8f34522,da3ca2ac,b273b0c2,b1b1f26a,7a9c2d96,b4547482,266a8e6d,bab3b577) 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+,S(61f4d96b,c326a1fe,a2ae38c3,73484a56,68e29bf5,12d77a04,34a62278,1d78899f,651ef738,62005ac7,64f97021,6180c25e,2172724b,375e6b38,b3a37ad2,d7b4aab8) +,S(ba7d5c0d,623c5e79,8088a71f,8d2916e0,7c7ebe2b,1afa19c1,9c917cae,31c11616,da409f40,d7e3f6c,78655153,fb35595,a1ec37e7,e66c8958,ce45b07d,bd5f5a51) +,S(8b90a590,eacb977c,6e6a68ee,6dbc3e19,fe5a92a6,9abc43c3,bb16f9d1,925bdb09,a5cf5f42,ef655d59,ae734e1,f746a752,4d01ef75,d829b9a9,2a035180,fb5df718) +,S(87f35227,21914cfd,ce8294a3,cb5ae171,f0d994ff,f55b25b7,1c9e9aac,dff4fe4c,cc71d1af,530bc5e1,eae7c1ef,b9a91335,f26b283f,222a3552,dda24c28,64babb2f) +,S(aeea4d36,ba405159,bf0ffe8a,5530f1f3,83d5509f,187ef58b,6c1eee4a,cb77a15d,db563dea,e7403df8,7d3031c2,48aaa28d,96958f7d,ce36b3f7,8d55607a,60d3ac1a) +,S(300fe98d,3996eb9d,57c6f1ef,8058d4c,d8dda436,5774edb6,2a338a59,afcc7111,d148a017,8fdda40c,f937913c,143b76fd,d2e6e226,d27225e3,a49658b2,38c40e77) +,S(c700af5e,22cd146e,839095a1,f6743e4f,d01e9c1b,76d4c73a,a5005f42,99c19fdb,3fe00181,b1f01c27,27ab1fc6,bb6ea569,d4a3092,c2d511d2,8b5546aa,194b32c0) +,S(d03d08e1,17b94138,1aa147af,38448539,94228f75,f96bb4a5,941c3748,cf50bc60,5b119ffd,2785bcc5,2e0bfbfd,c541da8d,f47dd076,e91440fa,10e071b3,a896e31d) +,S(6c6710fa,17a520b8,56d7fadb,6af81a5f,ea9c983e,c94cf832,b395da5f,c22bd361,db4efd26,36e281ea,419964f3,c0897b05,b036a408,25ed4ad6,4fba393c,f2804941) +,S(d7b5c239,9df47a16,6b6cb900,d08a5d9a,5ea3bfe9,94f861d9,b46f3fbd,a3d91bbb,ed791f4e,4ab1c25e,9c83494d,794ffe1f,a3c8a065,29c0b710,cffd597d,64efe8ba) +,S(90f699ab,8f728152,e2deb8dc,ceaaa3ee,53ff2f23,2341a952,4aba9e8e,50f66c06,8bd0c3a7,7f5312bb,9d46d80e,c36921f8,561558ce,6e63c08e,641c82c9,fefce91d) +,S(4d0eae3e,3d7adc34,c91eaead,6a16f569,37557dce,2b68744a,bb9ae71a,8dfb65cc,816b0806,a9508731,ba99a685,142aa52e,6e874c99,5096a53,52c6e2f2,1fa3de5a) +,S(46cd9edd,ec318498,dfb4f815,3315185d,689a2399,8e06b1d0,2438f7c9,b2f7de62,3b5bc1a3,d5fd7874,8c964a8b,b813388b,e0d5d168,1247d008,10a846fa,561f29bc) +,S(4aac80e,3f6eaab7,1c576297,b4552e40,653748fe,21a580ae,bce4eb83,2ff730b,3d42a00d,8014f46a,80fe2dd5,bac6a046,40d331a9,4f1de050,9e435398,6c8c7954) +,S(59bea661,b73d9c09,131e4573,199937a,e03e96f6,2ecbc637,4bb681a5,582a4114,31a20be8,ee8a2c2e,81d062e7,8e891504,d9f2639a,bd5db5c1,30be3d2c,b1afa47d) +,S(7fe9065,88b2ee92,2b19acd3,fec7a4de,9ee089a4,a4e1c338,5e293567,90ca6037,dfb45d90,c5f43eeb,1f5eb326,20763ff4,2659b763,e7ec72a7,c69e9369,35e5c128) +,S(db390f91,32277889,784b5e4a,cf8f2fd1,f3a5fc47,f2c8262f,19dc9518,95322157,4364955b,241c831f,94fd7d4,da63db19,2aaeb5c0,ade82dc8,d5d61cac,d690bbad) +,S(34dd0266,e5fc19ac,7daa9e61,5ae8f78c,985732a6,1c53c29,e6e5d407,7391ebc8,c2d6b6d8,e73fe00,e6013b1d,2c2b48bc,77a5db6b,45232ddb,6611ea1f,c5dd797b) +,S(eea7f72b,7e31608d,d3dfcfbe,16e2ef95,5e6c7ec5,328f84db,336e3df1,9d1772ab,9662c8f1,ccdea4c3,48ea6d94,739aa747,17219556,c6be9b8,8af0d30d,514004bb) +,S(c6af087a,f1b10eb3,93de412d,de856129,9376d264,36d907fc,10d3e7a3,88c391f2,ba99d62e,31856457,8ad8847a,9cfeaba5,e5ff9824,2c614959,eeeb4ae7,50825144) +,S(eae34735,6c715740,ab73d034,bcb43f5a,aff37fbf,50d35518,1364c999,feccefc7,b9386c75,da8bf645,cd6f15d8,4944f74b,9685256d,b61fda98,79fe6639,92fe4703) +,S(4a548c25,f4d8f54,4f9a27e,64e49626,41b68ae3,1d90461,65c24ff7,fb40438f,ae9f2c85,bd608cf6,ef5e40c6,7e29a63d,4c274215,c2a0d578,38252f28,196f6d10) +,S(61925679,dd6545a8,ea19743d,7cb3c0bf,453318d9,e180da53,f43af2b0,ecf744af,a0682d84,d7215372,e9ec062c,a3e4aa1f,47fc551d,44e3d1a1,7260a44f,2bcb184d) +,S(e1db5e86,9574ab76,d4fa260d,2425ef62,50267ab8,52ff04fe,25f0150,9137ea2a,c8eaf421,9fd5f7a3,6c1a99a1,d0c61250,836e204b,fb496774,83f43c81,511905a8) +,S(3062cbca,73923842,2a0ab862,a1fd84f0,38e63691,cfc204a7,d2f9d263,d248c7f1,8f112e57,e3f2970,dce89eee,1e184310,721a85f1,cc9feb2c,f55c047f,dd9670cb) +,S(67c393cc,aa9736fc,eec7a861,eb53f953,9da74ff2,97764f4e,4e814004,4da4f739,93d329d0,9a165fe2,2f8009d5,ad59b524,33ac24d5,46c7d394,2d147c4d,49853203) +,S(c67471f2,36cf2187,ee5a5619,d581cc7d,ac5bc5b1,e8bb728,f943084f,e899bf5e,75c90c9c,787b318d,943c3247,74cbbcc8,3a533f37,fb684aea,62fe6848,8de2c513) +,S(d5015fef,d5938dd9,2133d7a4,25aaac5,12143acc,6547070,1827e98a,e4ed1b52,44305616,a02236f1,5c37c0d6,51d845dc,e9966860,b798f79f,4006c25d,7cf03d6b) +,S(aebcbf65,aaa89615,cb48ed56,4002ed9a,243ca309,1cf503b7,3c1929ce,8164f2d2,4fc1f25d,1a30ee2b,4220305b,a9c88e86,a6ee7f55,55399ee5,35e7d37f,e4b3f019) +,S(15cb1617,1727deef,49ad6821,932a39d1,bb8f980b,b5370d81,5ef00ff,ebb30e43,64ad8c82,87fc053f,ee35c1b9,9734b34d,2dfff86b,490ead93,b1fe7d2b,f80ebd7a) +,S(d404209e,8530d674,9bb88a5,525211a1,19fb2523,63e2698,6bd03080,4c49c123,3763fd68,fdb85d19,e8506275,3b5a327c,46ef87be,8a3432c5,62bcc622,40a7a128) +,S(f3abf8cf,c232849,58e330c2,fc327ac4,d40b4497,f422aa4e,d42e9381,9bffdd96,50861f05,d831327c,3e907643,2d7a7621,d1dfe9ec,7ccf2061,cc720e9a,7d5b0d5d) +,S(78a32893,2ee9dbfb,3f84755a,651b9d23,5cf92b46,c3e4bb4e,57b7ff6f,7c874dea,925b783a,966721f4,6eaccd87,495eab7d,b3c36eb2,92c1a473,b4617f6b,9ac85895) +,S(8165210f,5d146f8a,1ac1ed91,a7bb678d,1b7d15e4,3ed55e8d,f6503209,a750cd4a,fe390d3a,19e22bdc,cbd45875,e396c713,85954166,a1edb63a,384b8587,915d260d) +,S(75269de8,6c2f3d34,cdf17dd6,f3efa198,ba73431f,cf0072f3,633ca57f,7dfe3f09,b162a65f,d19927ec,4446e3db,d5ee8850,f463f39f,1df1a0b1,f5ed153e,704805bd) +,S(5e36ce8f,b393949e,5b9c4e10,44fb2ff7,c520a7b7,a9016b38,9544e512,427145b0,7c40e718,292f96a4,1d9822ce,d54aea90,22074c5c,c82ba4e,7d39a4e0,7811614c) +,S(c8cc7129,fdebbfc6,c0576edc,6ac983e5,c249d360,76da7d25,b05c0b6b,16632746,48a8cce3,a77e4498,76d1a332,c539feba,2653fbaf,d4f75e68,e4674d78,4c716fb1) +,S(9fe1db36,f1ee3e6d,3924d2a9,ae3ddcaf,fa85798b,7383a1dd,2d6c0c14,ea46973f,1d35b6a8,607045c0,95ed9658,80212b63,43dc55ec,beb3223e,7c2e76ce,2c74f6d2) +,S(4ca8ab8a,3d45748e,6e19e02d,dc351279,e23648db,d26d2465,7c9713f5,bc8ecda2,8a5866ad,9bb7db92,273c9f23,c0876c95,13b8a68d,bb20c5cf,164a9a39,4e3e73da) +,S(c8d0150,e4a989ec,5cdbc724,21b1e29f,f1f30818,1d8117b1,3d376f58,b72060c0,5c5880a4,c5a73a4a,1ae42a9d,f0b20032,7ac4a732,cb26e717,49e63365,5082ebd1) +,S(3d61557b,b4b9fde6,49fe1b7c,981c9883,9e368444,f130bfea,fc1e1a0c,12f2aa31,933167ff,62cd840b,3a960c90,e6b1c37e,1e233695,318ea286,71c87992,de5b56f9) +,S(67569f9f,fd44ca09,5b478dbb,85c3ed1f,feaadaed,cb624552,ccfaf169,24e69e2a,62bb2948,230fbd2c,aa941288,7adfb24b,d16619de,af0fc102,feb1b26d,67eb7fcc) +,S(6313d13e,debf1401,eb7d279,2c66daa8,6e3075d0,3cf0daf7,f3b753e,7372fbc2,44621230,50eb1245,86975455,63e06e2f,2839f874,beaff9c2,f65e26ad,d3573ef3) +,S(6f8ec9e7,fbbe6e8c,d0e3085b,47c6cb2b,88529f2,15f13195,5e2fde24,4dd23968,1fb61e14,523b3fae,b543b215,dc46eeeb,23e1950a,8301c78d,c510c76f,ed36cd79) +,S(56613dac,3c5aa1ac,bd9a0ec2,f839b4c3,36f0ae58,e0e02244,7bec0546,710b7f6c,247263ab,86c398f9,3b23319,4434af8b,530908bd,dd7f716c,f7b73aa9,8eca79e8) +,S(c9de15e7,b4147219,137e6e57,c5a7ddd6,17e91ab0,6859dda0,41eb3c21,87aee08c,c7178ea5,cfa056d0,dfd11c87,715591cc,40cc5db1,f5e4b70f,d8ffbfc4,3f8b0009) +,S(7590a4a,627d5e90,e42a4b0f,6be6497a,f906182d,d2dddc48,a8b6bbfd,f56c0504,d611e21a,b5498760,5c97e878,baa464bc,cc5bd875,353b69f8,1f93ce2a,a6c38587) +,S(94b1da0f,b310e056,db0dff72,81db3362,1fcc555d,bf3c973b,76097908,7fe19d6a,8318893d,d5b41a56,33a2ab4,ae4b953c,45c42e9c,8f2fd159,85286de3,fd4fc217) +#endif +#if ECMULT_TABLE_SIZE(WINDOW_G) > 128 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+,S(c117681e,b55bff67,feda80a1,ae88b4be,c806860d,91916619,288a7ce0,b31aef86,d94ae124,dca678bc,b69c9421,f295405f,d6dc1fac,de96a2b4,58ba5fd2,72faa032) +,S(5ccc0619,92744a57,683de5e3,7b956fa1,fd7287d,b4516fc9,f8635be3,a0db42a9,af1f73ea,4d2168e1,7550ffc,dcbba288,8397931b,e457ce6f,3f8082f8,cfc5f03) +,S(858b019c,8a93524f,6c86738d,cb10b534,d8caaf86,5c0ce75c,fc9b83b0,7c661a0a,7c59d30,1ffc8ce1,b0767ed7,91f84bc5,60bb8ca,ed3464ba,698a53c,160ec570) +,S(e1e217b8,69da0c77,599dcc38,40fa1d8c,a8d08b1a,4ac9a882,da1476cc,cc76fa56,83f0ef77,905f0801,4bd86e17,63b8c2cf,ab2018a8,9586620a,b49a15,9fc314ca) +,S(15a1ae40,b4fc51dc,554b75d4,db0c2bfd,62dfbbfc,dede18e1,4edbb689,91525cff,4f0453b7,e4e0e99d,9663e5c6,bb018007,b52c8e14,d78a28d,c4a888e4,8c4326c2) +,S(1b9a142f,fc4d03ea,4b079f2d,b05fad98,8ddb2d32,b359967f,c173801f,63320825,59bda7ed,5b691c20,4fc8f8ac,f53be298,ae628954,a8134d0f,dd097e67,be9ff9b6) +#endif +}; +#endif +#undef S +#endif diff --git a/secp256k1/extrakeys.h b/secp256k1/extrakeys.h new file mode 100644 index 00000000000..e54560ac148 --- /dev/null +++ b/secp256k1/extrakeys.h @@ -0,0 +1,37 @@ +#ifndef SECP256K1_EXTRAKEYS_H +#define SECP256K1_EXTRAKEYS_H + +#include "secp256k1.h" + +/** Opaque data structure that holds a parsed and valid "x-only" public key. + * An x-only pubkey encodes a point whose Y coordinate is even. It is + * serialized using only its X coordinate (32 bytes). See BIP-340 for more + * information about x-only pubkeys. + * + * The exact representation of data inside is implementation defined and not + * guaranteed to be portable between different platforms or versions. It is + * however guaranteed to be 64 bytes in size, and can be safely copied/moved. + * If you need to convert to a format suitable for storage, transmission, use + * use secp256k1_xonly_pubkey_serialize and secp256k1_xonly_pubkey_parse. To + * compare keys, use secp256k1_xonly_pubkey_cmp. + */ +typedef struct { + unsigned char data[64]; +} secp256k1_xonly_pubkey; + +/** Parse a 32-byte sequence into a xonly_pubkey object. + * + * Returns: 1 if the public key was fully valid. + * 0 if the public key could not be parsed or is invalid. + * + * Out: pubkey: pointer to a pubkey object. If 1 is returned, it is set to a + * parsed version of input. If not, it's set to an invalid value. + * (cannot be NULL). + * In: input32: pointer to a serialized xonly_pubkey (cannot be NULL) + */ +static SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_parse( + secp256k1_xonly_pubkey* pubkey, + const unsigned char *input32 +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2); + +#endif /* SECP256K1_EXTRAKEYS_H */ diff --git a/secp256k1/extrakeys_impl.h b/secp256k1/extrakeys_impl.h new file mode 100644 index 00000000000..03638821ce4 --- /dev/null +++ b/secp256k1/extrakeys_impl.h @@ -0,0 +1,42 @@ +/*********************************************************************** + * Copyright (c) 2020 Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_EXTRAKEYS_IMPL +#define SECP256K1_EXTRAKEYS_IMPL + +#include "secp256k1.h" +#include "extrakeys.h" + +static SECP256K1_INLINE int secp256k1_xonly_pubkey_load(secp256k1_ge *ge, const secp256k1_xonly_pubkey *pubkey) { + return secp256k1_pubkey_load(ge, (const secp256k1_pubkey *) pubkey); +} + +static SECP256K1_INLINE void secp256k1_xonly_pubkey_save(secp256k1_xonly_pubkey *pubkey, secp256k1_ge *ge) { + secp256k1_pubkey_save((secp256k1_pubkey *) pubkey, ge); +} + +static int secp256k1_xonly_pubkey_parse(secp256k1_xonly_pubkey *pubkey, const unsigned char *input32) { + secp256k1_ge pk; + secp256k1_fe x; + + ARG_CHECK(pubkey != NULL); + memset(pubkey, 0, sizeof(*pubkey)); + ARG_CHECK(input32 != NULL); + + if (!secp256k1_fe_set_b32(&x, input32)) { + return 0; + } + if (!secp256k1_ge_set_xo_var(&pk, &x, 0)) { + return 0; + } + if (!secp256k1_ge_is_in_correct_subgroup(&pk)) { + return 0; + } + secp256k1_xonly_pubkey_save(pubkey, &pk); + return 1; +} + +#endif diff --git a/secp256k1/field.h b/secp256k1/field.h new file mode 100644 index 00000000000..fc0b845a304 --- /dev/null +++ b/secp256k1/field.h @@ -0,0 +1,124 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_FIELD_H +#define SECP256K1_FIELD_H + +/** Field element module. + * + * Field elements can be represented in several ways, but code accessing + * it (and implementations) need to take certain properties into account: + * - Each field element can be normalized or not. + * - Each field element has a magnitude, which represents how far away + * its representation is away from normalization. Normalized elements + * always have a magnitude of 1, but a magnitude of 1 doesn't imply + * normality. + */ + +#include "util.h" + +#if defined(SECP256K1_WIDEMUL_INT128) +#include "field_5x52.h" +#elif defined(SECP256K1_WIDEMUL_INT64) +#include "field_10x26.h" +#else +#error "Please select wide multiplication implementation" +#endif + +#if 0 +/** Normalize a field element. This brings the field element to a canonical representation, reduces + * its magnitude to 1, and reduces it modulo field size `p`. + */ +static void secp256k1_fe_normalize(secp256k1_fe *r); +#endif + +/** Weakly normalize a field element: reduce its magnitude to 1, but don't fully normalize. */ +static void secp256k1_fe_normalize_weak(secp256k1_fe *r); + +/** Normalize a field element, without constant-time guarantee. */ +static void secp256k1_fe_normalize_var(secp256k1_fe *r); + +/** Verify whether a field element represents zero i.e. would normalize to a zero value. */ +static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r); + +/** Verify whether a field element represents zero i.e. would normalize to a zero value, + * without constant-time guarantee. */ +static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r); + +/** Set a field element equal to a small integer. Resulting field element is normalized. */ +static void secp256k1_fe_set_int(secp256k1_fe *r, int a); + +/** Sets a field element equal to zero, initializing all fields. */ +static void secp256k1_fe_clear(secp256k1_fe *a); + +/** Verify whether a field element is zero. Requires the input to be normalized. */ +static int secp256k1_fe_is_zero(const secp256k1_fe *a); + +/** Check the "oddness" of a field element. Requires the input to be normalized. */ +static int secp256k1_fe_is_odd(const secp256k1_fe *a); + +/** Compare two field elements. Requires magnitude-1 inputs. */ +static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b); + +/** Same as secp256k1_fe_equal, but may be variable time. */ +static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b); + +#if 0 +/** Compare two field elements. Requires both inputs to be normalized */ +static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b); +#endif + +/** Set a field element equal to 32-byte big endian value. If successful, the resulting field element is normalized. */ +static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a); + +/** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ +static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a); + +/** Set a field element equal to the additive inverse of another. Takes a maximum magnitude of the input + * as an argument. The magnitude of the output is one higher. */ +static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m); + +/** Multiplies the passed field element with a small integer constant. Multiplies the magnitude by that + * small integer. */ +static void secp256k1_fe_mul_int(secp256k1_fe *r, int a); + +/** Adds a field element to another. The result has the sum of the inputs' magnitudes as magnitude. */ +static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a); + +/** Sets a field element to be the product of two others. Requires the inputs' magnitudes to be at most 8. + * The output magnitude is 1 (but not guaranteed to be normalized). */ +static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b); + +/** Sets a field element to be the square of another. Requires the input's magnitude to be at most 8. + * The output magnitude is 1 (but not guaranteed to be normalized). */ +static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a); + +/** If a has a square root, it is computed in r and 1 is returned. If a does not + * have a square root, the root of its negation is computed and 0 is returned. + * The input's magnitude can be at most 8. The output magnitude is 1 (but not + * guaranteed to be normalized). The result in r will always be a square + * itself. + * No constant-time guarantee. */ +static int secp256k1_fe_sqrt_var(secp256k1_fe *r, const secp256k1_fe *a); + +/** Sets a field element to be the (modular) inverse of another. Requires the input's magnitude to be + * at most 8. The output magnitude is 1 (but not guaranteed to be normalized). + * No constant-time guarantee. */ +static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a); + +/** Convert a field element to the storage type. */ +static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a); + +/** Convert a field element back from the storage type. */ +static void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a); + +/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/ +static void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag); + +/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/ +static void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag); + +#endif /* SECP256K1_FIELD_H */ diff --git a/secp256k1/field_10x26.h b/secp256k1/field_10x26.h new file mode 100644 index 00000000000..9eb65607f12 --- /dev/null +++ b/secp256k1/field_10x26.h @@ -0,0 +1,50 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_FIELD_REPR_H +#define SECP256K1_FIELD_REPR_H + +#include + +typedef struct { + /* X = sum(i=0..9, n[i]*2^(i*26)) mod p + * where p = 2^256 - 0x1000003D1 + */ + uint32_t n[10]; +#ifdef VERIFY + int magnitude; + int normalized; +#endif +} secp256k1_fe; + +/* Unpacks a constant into a overlapping multi-limbed FE element. */ +#define SECP256K1_FE_CONST_INNER(d7, d6, d5, d4, d3, d2, d1, d0) { \ + (d0) & 0x3FFFFFFUL, \ + (((uint32_t)d0) >> 26) | (((uint32_t)(d1) & 0xFFFFFUL) << 6), \ + (((uint32_t)d1) >> 20) | (((uint32_t)(d2) & 0x3FFFUL) << 12), \ + (((uint32_t)d2) >> 14) | (((uint32_t)(d3) & 0xFFUL) << 18), \ + (((uint32_t)d3) >> 8) | (((uint32_t)(d4) & 0x3UL) << 24), \ + (((uint32_t)d4) >> 2) & 0x3FFFFFFUL, \ + (((uint32_t)d4) >> 28) | (((uint32_t)(d5) & 0x3FFFFFUL) << 4), \ + (((uint32_t)d5) >> 22) | (((uint32_t)(d6) & 0xFFFFUL) << 10), \ + (((uint32_t)d6) >> 16) | (((uint32_t)(d7) & 0x3FFUL) << 16), \ + (((uint32_t)d7) >> 10) \ +} + +#ifdef VERIFY +#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0)), 1, 1} +#else +#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0))} +#endif + +typedef struct { + uint32_t n[8]; +} secp256k1_fe_storage; + +#define SECP256K1_FE_STORAGE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {{ (d0), (d1), (d2), (d3), (d4), (d5), (d6), (d7) }} +#define SECP256K1_FE_STORAGE_CONST_GET(d) d.n[7], d.n[6], d.n[5], d.n[4],d.n[3], d.n[2], d.n[1], d.n[0] + +#endif /* SECP256K1_FIELD_REPR_H */ diff --git a/secp256k1/field_10x26_impl.h b/secp256k1/field_10x26_impl.h new file mode 100644 index 00000000000..9343f5eb7f3 --- /dev/null +++ b/secp256k1/field_10x26_impl.h @@ -0,0 +1,1236 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_FIELD_REPR_IMPL_H +#define SECP256K1_FIELD_REPR_IMPL_H + +#include "util.h" +#include "field.h" +#include "modinv32_impl.h" + +#ifdef VERIFY +static void secp256k1_fe_verify(const secp256k1_fe *a) { + const uint32_t *d = a->n; + int m = a->normalized ? 1 : 2 * a->magnitude, r = 1; + r &= (d[0] <= 0x3FFFFFFUL * m); + r &= (d[1] <= 0x3FFFFFFUL * m); + r &= (d[2] <= 0x3FFFFFFUL * m); + r &= (d[3] <= 0x3FFFFFFUL * m); + r &= (d[4] <= 0x3FFFFFFUL * m); + r &= (d[5] <= 0x3FFFFFFUL * m); + r &= (d[6] <= 0x3FFFFFFUL * m); + r &= (d[7] <= 0x3FFFFFFUL * m); + r &= (d[8] <= 0x3FFFFFFUL * m); + r &= (d[9] <= 0x03FFFFFUL * m); + r &= (a->magnitude >= 0); + r &= (a->magnitude <= 32); + if (a->normalized) { + r &= (a->magnitude <= 1); + if (r && (d[9] == 0x03FFFFFUL)) { + uint32_t mid = d[8] & d[7] & d[6] & d[5] & d[4] & d[3] & d[2]; + if (mid == 0x3FFFFFFUL) { + r &= ((d[1] + 0x40UL + ((d[0] + 0x3D1UL) >> 26)) <= 0x3FFFFFFUL); + } + } + } + VERIFY_CHECK(r == 1); +} +#endif + +static void secp256k1_fe_normalize(secp256k1_fe *r) { + uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], + t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; + + /* Reduce t9 at the start so there will be at most a single carry from the first pass */ + uint32_t m; + uint32_t x = t9 >> 22; t9 &= 0x03FFFFFUL; + + /* The first pass ensures the magnitude is 1, ... */ + t0 += x * 0x3D1UL; t1 += (x << 6); + t1 += (t0 >> 26); t0 &= 0x3FFFFFFUL; + t2 += (t1 >> 26); t1 &= 0x3FFFFFFUL; + t3 += (t2 >> 26); t2 &= 0x3FFFFFFUL; m = t2; + t4 += (t3 >> 26); t3 &= 0x3FFFFFFUL; m &= t3; + t5 += (t4 >> 26); t4 &= 0x3FFFFFFUL; m &= t4; + t6 += (t5 >> 26); t5 &= 0x3FFFFFFUL; m &= t5; + t7 += (t6 >> 26); t6 &= 0x3FFFFFFUL; m &= t6; + t8 += (t7 >> 26); t7 &= 0x3FFFFFFUL; m &= t7; + t9 += (t8 >> 26); t8 &= 0x3FFFFFFUL; m &= t8; + + /* ... except for a possible carry at bit 22 of t9 (i.e. bit 256 of the field element) */ + VERIFY_CHECK(t9 >> 23 == 0); + + /* At most a single final reduction is needed; check if the value is >= the field characteristic */ + x = (t9 >> 22) | ((t9 == 0x03FFFFFUL) & (m == 0x3FFFFFFUL) + & ((t1 + 0x40UL + ((t0 + 0x3D1UL) >> 26)) > 0x3FFFFFFUL)); + + /* Apply the final reduction (for constant-time behaviour, we do it always) */ + t0 += x * 0x3D1UL; t1 += (x << 6); + t1 += (t0 >> 26); t0 &= 0x3FFFFFFUL; + t2 += (t1 >> 26); t1 &= 0x3FFFFFFUL; + t3 += (t2 >> 26); t2 &= 0x3FFFFFFUL; + t4 += (t3 >> 26); t3 &= 0x3FFFFFFUL; + t5 += (t4 >> 26); t4 &= 0x3FFFFFFUL; + t6 += (t5 >> 26); t5 &= 0x3FFFFFFUL; + t7 += (t6 >> 26); t6 &= 0x3FFFFFFUL; + t8 += (t7 >> 26); t7 &= 0x3FFFFFFUL; + t9 += (t8 >> 26); t8 &= 0x3FFFFFFUL; + + /* If t9 didn't carry to bit 22 already, then it should have after any final reduction */ + VERIFY_CHECK(t9 >> 22 == x); + + /* Mask off the possible multiple of 2^256 from the final reduction */ + t9 &= 0x03FFFFFUL; + + r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; + r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9; + +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 1; + secp256k1_fe_verify(r); +#endif +} + +static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { + uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], + t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; + + /* Reduce t9 at the start so there will be at most a single carry from the first pass */ + uint32_t x = t9 >> 22; t9 &= 0x03FFFFFUL; + + /* The first pass ensures the magnitude is 1, ... */ + t0 += x * 0x3D1UL; t1 += (x << 6); + t1 += (t0 >> 26); t0 &= 0x3FFFFFFUL; + t2 += (t1 >> 26); t1 &= 0x3FFFFFFUL; + t3 += (t2 >> 26); t2 &= 0x3FFFFFFUL; + t4 += (t3 >> 26); t3 &= 0x3FFFFFFUL; + t5 += (t4 >> 26); t4 &= 0x3FFFFFFUL; + t6 += (t5 >> 26); t5 &= 0x3FFFFFFUL; + t7 += (t6 >> 26); t6 &= 0x3FFFFFFUL; + t8 += (t7 >> 26); t7 &= 0x3FFFFFFUL; + t9 += (t8 >> 26); t8 &= 0x3FFFFFFUL; + + /* ... except for a possible carry at bit 22 of t9 (i.e. bit 256 of the field element) */ + VERIFY_CHECK(t9 >> 23 == 0); + + r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; + r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9; + +#ifdef VERIFY + r->magnitude = 1; + secp256k1_fe_verify(r); +#endif +} + +static void secp256k1_fe_normalize_var(secp256k1_fe *r) { + uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], + t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; + + /* Reduce t9 at the start so there will be at most a single carry from the first pass */ + uint32_t m; + uint32_t x = t9 >> 22; t9 &= 0x03FFFFFUL; + + /* The first pass ensures the magnitude is 1, ... */ + t0 += x * 0x3D1UL; t1 += (x << 6); + t1 += (t0 >> 26); t0 &= 0x3FFFFFFUL; + t2 += (t1 >> 26); t1 &= 0x3FFFFFFUL; + t3 += (t2 >> 26); t2 &= 0x3FFFFFFUL; m = t2; + t4 += (t3 >> 26); t3 &= 0x3FFFFFFUL; m &= t3; + t5 += (t4 >> 26); t4 &= 0x3FFFFFFUL; m &= t4; + t6 += (t5 >> 26); t5 &= 0x3FFFFFFUL; m &= t5; + t7 += (t6 >> 26); t6 &= 0x3FFFFFFUL; m &= t6; + t8 += (t7 >> 26); t7 &= 0x3FFFFFFUL; m &= t7; + t9 += (t8 >> 26); t8 &= 0x3FFFFFFUL; m &= t8; + + /* ... except for a possible carry at bit 22 of t9 (i.e. bit 256 of the field element) */ + VERIFY_CHECK(t9 >> 23 == 0); + + /* At most a single final reduction is needed; check if the value is >= the field characteristic */ + x = (t9 >> 22) | ((t9 == 0x03FFFFFUL) & (m == 0x3FFFFFFUL) + & ((t1 + 0x40UL + ((t0 + 0x3D1UL) >> 26)) > 0x3FFFFFFUL)); + + if (x) { + t0 += 0x3D1UL; t1 += (x << 6); + t1 += (t0 >> 26); t0 &= 0x3FFFFFFUL; + t2 += (t1 >> 26); t1 &= 0x3FFFFFFUL; + t3 += (t2 >> 26); t2 &= 0x3FFFFFFUL; + t4 += (t3 >> 26); t3 &= 0x3FFFFFFUL; + t5 += (t4 >> 26); t4 &= 0x3FFFFFFUL; + t6 += (t5 >> 26); t5 &= 0x3FFFFFFUL; + t7 += (t6 >> 26); t6 &= 0x3FFFFFFUL; + t8 += (t7 >> 26); t7 &= 0x3FFFFFFUL; + t9 += (t8 >> 26); t8 &= 0x3FFFFFFUL; + + /* If t9 didn't carry to bit 22 already, then it should have after any final reduction */ + VERIFY_CHECK(t9 >> 22 == x); + + /* Mask off the possible multiple of 2^256 from the final reduction */ + t9 &= 0x03FFFFFUL; + } + + r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; + r->n[5] = t5; r->n[6] = t6; r->n[7] = t7; r->n[8] = t8; r->n[9] = t9; + +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 1; + secp256k1_fe_verify(r); +#endif +} + +static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) { + uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4], + t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9]; + + /* z0 tracks a possible raw value of 0, z1 tracks a possible raw value of P */ + uint32_t z0, z1; + + /* Reduce t9 at the start so there will be at most a single carry from the first pass */ + uint32_t x = t9 >> 22; t9 &= 0x03FFFFFUL; + + /* The first pass ensures the magnitude is 1, ... */ + t0 += x * 0x3D1UL; t1 += (x << 6); + t1 += (t0 >> 26); t0 &= 0x3FFFFFFUL; z0 = t0; z1 = t0 ^ 0x3D0UL; + t2 += (t1 >> 26); t1 &= 0x3FFFFFFUL; z0 |= t1; z1 &= t1 ^ 0x40UL; + t3 += (t2 >> 26); t2 &= 0x3FFFFFFUL; z0 |= t2; z1 &= t2; + t4 += (t3 >> 26); t3 &= 0x3FFFFFFUL; z0 |= t3; z1 &= t3; + t5 += (t4 >> 26); t4 &= 0x3FFFFFFUL; z0 |= t4; z1 &= t4; + t6 += (t5 >> 26); t5 &= 0x3FFFFFFUL; z0 |= t5; z1 &= t5; + t7 += (t6 >> 26); t6 &= 0x3FFFFFFUL; z0 |= t6; z1 &= t6; + t8 += (t7 >> 26); t7 &= 0x3FFFFFFUL; z0 |= t7; z1 &= t7; + t9 += (t8 >> 26); t8 &= 0x3FFFFFFUL; z0 |= t8; z1 &= t8; + z0 |= t9; z1 &= t9 ^ 0x3C00000UL; + + /* ... except for a possible carry at bit 22 of t9 (i.e. bit 256 of the field element) */ + VERIFY_CHECK(t9 >> 23 == 0); + + return (z0 == 0) | (z1 == 0x3FFFFFFUL); +} + +static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) { + uint32_t t0, t1, t2, t3, t4, t5, t6, t7, t8, t9; + uint32_t z0, z1; + uint32_t x; + + t0 = r->n[0]; + t9 = r->n[9]; + + /* Reduce t9 at the start so there will be at most a single carry from the first pass */ + x = t9 >> 22; + + /* The first pass ensures the magnitude is 1, ... */ + t0 += x * 0x3D1UL; + + /* z0 tracks a possible raw value of 0, z1 tracks a possible raw value of P */ + z0 = t0 & 0x3FFFFFFUL; + z1 = z0 ^ 0x3D0UL; + + /* Fast return path should catch the majority of cases */ + if ((z0 != 0UL) & (z1 != 0x3FFFFFFUL)) { + return 0; + } + + t1 = r->n[1]; + t2 = r->n[2]; + t3 = r->n[3]; + t4 = r->n[4]; + t5 = r->n[5]; + t6 = r->n[6]; + t7 = r->n[7]; + t8 = r->n[8]; + + t9 &= 0x03FFFFFUL; + t1 += (x << 6); + + t1 += (t0 >> 26); + t2 += (t1 >> 26); t1 &= 0x3FFFFFFUL; z0 |= t1; z1 &= t1 ^ 0x40UL; + t3 += (t2 >> 26); t2 &= 0x3FFFFFFUL; z0 |= t2; z1 &= t2; + t4 += (t3 >> 26); t3 &= 0x3FFFFFFUL; z0 |= t3; z1 &= t3; + t5 += (t4 >> 26); t4 &= 0x3FFFFFFUL; z0 |= t4; z1 &= t4; + t6 += (t5 >> 26); t5 &= 0x3FFFFFFUL; z0 |= t5; z1 &= t5; + t7 += (t6 >> 26); t6 &= 0x3FFFFFFUL; z0 |= t6; z1 &= t6; + t8 += (t7 >> 26); t7 &= 0x3FFFFFFUL; z0 |= t7; z1 &= t7; + t9 += (t8 >> 26); t8 &= 0x3FFFFFFUL; z0 |= t8; z1 &= t8; + z0 |= t9; z1 &= t9 ^ 0x3C00000UL; + + /* ... except for a possible carry at bit 22 of t9 (i.e. bit 256 of the field element) */ + VERIFY_CHECK(t9 >> 23 == 0); + + return (z0 == 0) | (z1 == 0x3FFFFFFUL); +} + +SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) { + r->n[0] = a; + r->n[1] = r->n[2] = r->n[3] = r->n[4] = r->n[5] = r->n[6] = r->n[7] = r->n[8] = r->n[9] = 0; +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 1; + secp256k1_fe_verify(r); +#endif +} + +SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe *a) { + const uint32_t *t = a->n; +#ifdef VERIFY + VERIFY_CHECK(a->normalized); + secp256k1_fe_verify(a); +#endif + return (t[0] | t[1] | t[2] | t[3] | t[4] | t[5] | t[6] | t[7] | t[8] | t[9]) == 0; +} + +SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe *a) { +#ifdef VERIFY + VERIFY_CHECK(a->normalized); + secp256k1_fe_verify(a); +#endif + return a->n[0] & 1; +} + +SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe *a) { + int i; +#ifdef VERIFY + a->magnitude = 0; + a->normalized = 1; +#endif + for (i=0; i<10; i++) { + a->n[i] = 0; + } +} + +#if 0 +static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { + int i; +#ifdef VERIFY + VERIFY_CHECK(a->normalized); + VERIFY_CHECK(b->normalized); + secp256k1_fe_verify(a); + secp256k1_fe_verify(b); +#endif + for (i = 9; i >= 0; i--) { + if (a->n[i] > b->n[i]) { + return 1; + } + if (a->n[i] < b->n[i]) { + return -1; + } + } + return 0; +} +#endif + +static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { + int ret; + r->n[0] = (uint32_t)a[31] | ((uint32_t)a[30] << 8) | ((uint32_t)a[29] << 16) | ((uint32_t)(a[28] & 0x3) << 24); + r->n[1] = (uint32_t)((a[28] >> 2) & 0x3f) | ((uint32_t)a[27] << 6) | ((uint32_t)a[26] << 14) | ((uint32_t)(a[25] & 0xf) << 22); + r->n[2] = (uint32_t)((a[25] >> 4) & 0xf) | ((uint32_t)a[24] << 4) | ((uint32_t)a[23] << 12) | ((uint32_t)(a[22] & 0x3f) << 20); + r->n[3] = (uint32_t)((a[22] >> 6) & 0x3) | ((uint32_t)a[21] << 2) | ((uint32_t)a[20] << 10) | ((uint32_t)a[19] << 18); + r->n[4] = (uint32_t)a[18] | ((uint32_t)a[17] << 8) | ((uint32_t)a[16] << 16) | ((uint32_t)(a[15] & 0x3) << 24); + r->n[5] = (uint32_t)((a[15] >> 2) & 0x3f) | ((uint32_t)a[14] << 6) | ((uint32_t)a[13] << 14) | ((uint32_t)(a[12] & 0xf) << 22); + r->n[6] = (uint32_t)((a[12] >> 4) & 0xf) | ((uint32_t)a[11] << 4) | ((uint32_t)a[10] << 12) | ((uint32_t)(a[9] & 0x3f) << 20); + r->n[7] = (uint32_t)((a[9] >> 6) & 0x3) | ((uint32_t)a[8] << 2) | ((uint32_t)a[7] << 10) | ((uint32_t)a[6] << 18); + r->n[8] = (uint32_t)a[5] | ((uint32_t)a[4] << 8) | ((uint32_t)a[3] << 16) | ((uint32_t)(a[2] & 0x3) << 24); + r->n[9] = (uint32_t)((a[2] >> 2) & 0x3f) | ((uint32_t)a[1] << 6) | ((uint32_t)a[0] << 14); + + ret = !((r->n[9] == 0x3FFFFFUL) & ((r->n[8] & r->n[7] & r->n[6] & r->n[5] & r->n[4] & r->n[3] & r->n[2]) == 0x3FFFFFFUL) & ((r->n[1] + 0x40UL + ((r->n[0] + 0x3D1UL) >> 26)) > 0x3FFFFFFUL)); +#ifdef VERIFY + r->magnitude = 1; + if (ret) { + r->normalized = 1; + secp256k1_fe_verify(r); + } else { + r->normalized = 0; + } +#endif + return ret; +} + +/** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ +static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { +#ifdef VERIFY + VERIFY_CHECK(a->normalized); + secp256k1_fe_verify(a); +#endif + r[0] = (a->n[9] >> 14) & 0xff; + r[1] = (a->n[9] >> 6) & 0xff; + r[2] = ((a->n[9] & 0x3F) << 2) | ((a->n[8] >> 24) & 0x3); + r[3] = (a->n[8] >> 16) & 0xff; + r[4] = (a->n[8] >> 8) & 0xff; + r[5] = a->n[8] & 0xff; + r[6] = (a->n[7] >> 18) & 0xff; + r[7] = (a->n[7] >> 10) & 0xff; + r[8] = (a->n[7] >> 2) & 0xff; + r[9] = ((a->n[7] & 0x3) << 6) | ((a->n[6] >> 20) & 0x3f); + r[10] = (a->n[6] >> 12) & 0xff; + r[11] = (a->n[6] >> 4) & 0xff; + r[12] = ((a->n[6] & 0xf) << 4) | ((a->n[5] >> 22) & 0xf); + r[13] = (a->n[5] >> 14) & 0xff; + r[14] = (a->n[5] >> 6) & 0xff; + r[15] = ((a->n[5] & 0x3f) << 2) | ((a->n[4] >> 24) & 0x3); + r[16] = (a->n[4] >> 16) & 0xff; + r[17] = (a->n[4] >> 8) & 0xff; + r[18] = a->n[4] & 0xff; + r[19] = (a->n[3] >> 18) & 0xff; + r[20] = (a->n[3] >> 10) & 0xff; + r[21] = (a->n[3] >> 2) & 0xff; + r[22] = ((a->n[3] & 0x3) << 6) | ((a->n[2] >> 20) & 0x3f); + r[23] = (a->n[2] >> 12) & 0xff; + r[24] = (a->n[2] >> 4) & 0xff; + r[25] = ((a->n[2] & 0xf) << 4) | ((a->n[1] >> 22) & 0xf); + r[26] = (a->n[1] >> 14) & 0xff; + r[27] = (a->n[1] >> 6) & 0xff; + r[28] = ((a->n[1] & 0x3f) << 2) | ((a->n[0] >> 24) & 0x3); + r[29] = (a->n[0] >> 16) & 0xff; + r[30] = (a->n[0] >> 8) & 0xff; + r[31] = a->n[0] & 0xff; +} + +SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m) { +#ifdef VERIFY + VERIFY_CHECK(a->magnitude <= m); + secp256k1_fe_verify(a); +#endif + r->n[0] = 0x3FFFC2FUL * 2 * (m + 1) - a->n[0]; + r->n[1] = 0x3FFFFBFUL * 2 * (m + 1) - a->n[1]; + r->n[2] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[2]; + r->n[3] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[3]; + r->n[4] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[4]; + r->n[5] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[5]; + r->n[6] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[6]; + r->n[7] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[7]; + r->n[8] = 0x3FFFFFFUL * 2 * (m + 1) - a->n[8]; + r->n[9] = 0x03FFFFFUL * 2 * (m + 1) - a->n[9]; +#ifdef VERIFY + r->magnitude = m + 1; + r->normalized = 0; + secp256k1_fe_verify(r); +#endif +} + +SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) { + r->n[0] *= a; + r->n[1] *= a; + r->n[2] *= a; + r->n[3] *= a; + r->n[4] *= a; + r->n[5] *= a; + r->n[6] *= a; + r->n[7] *= a; + r->n[8] *= a; + r->n[9] *= a; +#ifdef VERIFY + r->magnitude *= a; + r->normalized = 0; + secp256k1_fe_verify(r); +#endif +} + +SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) { +#ifdef VERIFY + secp256k1_fe_verify(a); +#endif + r->n[0] += a->n[0]; + r->n[1] += a->n[1]; + r->n[2] += a->n[2]; + r->n[3] += a->n[3]; + r->n[4] += a->n[4]; + r->n[5] += a->n[5]; + r->n[6] += a->n[6]; + r->n[7] += a->n[7]; + r->n[8] += a->n[8]; + r->n[9] += a->n[9]; +#ifdef VERIFY + r->magnitude += a->magnitude; + r->normalized = 0; + secp256k1_fe_verify(r); +#endif +} + +#ifdef VERIFY +#define VERIFY_BITS(x, n) VERIFY_CHECK(((x) >> (n)) == 0) +#else +#define VERIFY_BITS(x, n) do { } while(0) +#endif + +SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint32_t *r, const uint32_t *a, const uint32_t * SECP256K1_RESTRICT b) { + uint64_t c, d; + uint64_t u0, u1, u2, u3, u4, u5, u6, u7, u8; + uint32_t t9, t1, t0, t2, t3, t4, t5, t6, t7; + const uint32_t M = 0x3FFFFFFUL, R0 = 0x3D10UL, R1 = 0x400UL; + + VERIFY_BITS(a[0], 30); + VERIFY_BITS(a[1], 30); + VERIFY_BITS(a[2], 30); + VERIFY_BITS(a[3], 30); + VERIFY_BITS(a[4], 30); + VERIFY_BITS(a[5], 30); + VERIFY_BITS(a[6], 30); + VERIFY_BITS(a[7], 30); + VERIFY_BITS(a[8], 30); + VERIFY_BITS(a[9], 26); + VERIFY_BITS(b[0], 30); + VERIFY_BITS(b[1], 30); + VERIFY_BITS(b[2], 30); + VERIFY_BITS(b[3], 30); + VERIFY_BITS(b[4], 30); + VERIFY_BITS(b[5], 30); + VERIFY_BITS(b[6], 30); + VERIFY_BITS(b[7], 30); + VERIFY_BITS(b[8], 30); + VERIFY_BITS(b[9], 26); + + /** [... a b c] is a shorthand for ... + a<<52 + b<<26 + c<<0 mod n. + * for 0 <= x <= 9, px is a shorthand for sum(a[i]*b[x-i], i=0..x). + * for 9 <= x <= 18, px is a shorthand for sum(a[i]*b[x-i], i=(x-9)..9) + * Note that [x 0 0 0 0 0 0 0 0 0 0] = [x*R1 x*R0]. + */ + + d = (uint64_t)a[0] * b[9] + + (uint64_t)a[1] * b[8] + + (uint64_t)a[2] * b[7] + + (uint64_t)a[3] * b[6] + + (uint64_t)a[4] * b[5] + + (uint64_t)a[5] * b[4] + + (uint64_t)a[6] * b[3] + + (uint64_t)a[7] * b[2] + + (uint64_t)a[8] * b[1] + + (uint64_t)a[9] * b[0]; + /* VERIFY_BITS(d, 64); */ + /* [d 0 0 0 0 0 0 0 0 0] = [p9 0 0 0 0 0 0 0 0 0] */ + t9 = d & M; d >>= 26; + VERIFY_BITS(t9, 26); + VERIFY_BITS(d, 38); + /* [d t9 0 0 0 0 0 0 0 0 0] = [p9 0 0 0 0 0 0 0 0 0] */ + + c = (uint64_t)a[0] * b[0]; + VERIFY_BITS(c, 60); + /* [d t9 0 0 0 0 0 0 0 0 c] = [p9 0 0 0 0 0 0 0 0 p0] */ + d += (uint64_t)a[1] * b[9] + + (uint64_t)a[2] * b[8] + + (uint64_t)a[3] * b[7] + + (uint64_t)a[4] * b[6] + + (uint64_t)a[5] * b[5] + + (uint64_t)a[6] * b[4] + + (uint64_t)a[7] * b[3] + + (uint64_t)a[8] * b[2] + + (uint64_t)a[9] * b[1]; + VERIFY_BITS(d, 63); + /* [d t9 0 0 0 0 0 0 0 0 c] = [p10 p9 0 0 0 0 0 0 0 0 p0] */ + u0 = d & M; d >>= 26; c += u0 * R0; + VERIFY_BITS(u0, 26); + VERIFY_BITS(d, 37); + VERIFY_BITS(c, 61); + /* [d u0 t9 0 0 0 0 0 0 0 0 c-u0*R0] = [p10 p9 0 0 0 0 0 0 0 0 p0] */ + t0 = c & M; c >>= 26; c += u0 * R1; + VERIFY_BITS(t0, 26); + VERIFY_BITS(c, 37); + /* [d u0 t9 0 0 0 0 0 0 0 c-u0*R1 t0-u0*R0] = [p10 p9 0 0 0 0 0 0 0 0 p0] */ + /* [d 0 t9 0 0 0 0 0 0 0 c t0] = [p10 p9 0 0 0 0 0 0 0 0 p0] */ + + c += (uint64_t)a[0] * b[1] + + (uint64_t)a[1] * b[0]; + VERIFY_BITS(c, 62); + /* [d 0 t9 0 0 0 0 0 0 0 c t0] = [p10 p9 0 0 0 0 0 0 0 p1 p0] */ + d += (uint64_t)a[2] * b[9] + + (uint64_t)a[3] * b[8] + + (uint64_t)a[4] * b[7] + + (uint64_t)a[5] * b[6] + + (uint64_t)a[6] * b[5] + + (uint64_t)a[7] * b[4] + + (uint64_t)a[8] * b[3] + + (uint64_t)a[9] * b[2]; + VERIFY_BITS(d, 63); + /* [d 0 t9 0 0 0 0 0 0 0 c t0] = [p11 p10 p9 0 0 0 0 0 0 0 p1 p0] */ + u1 = d & M; d >>= 26; c += u1 * R0; + VERIFY_BITS(u1, 26); + VERIFY_BITS(d, 37); + VERIFY_BITS(c, 63); + /* [d u1 0 t9 0 0 0 0 0 0 0 c-u1*R0 t0] = [p11 p10 p9 0 0 0 0 0 0 0 p1 p0] */ + t1 = c & M; c >>= 26; c += u1 * R1; + VERIFY_BITS(t1, 26); + VERIFY_BITS(c, 38); + /* [d u1 0 t9 0 0 0 0 0 0 c-u1*R1 t1-u1*R0 t0] = [p11 p10 p9 0 0 0 0 0 0 0 p1 p0] */ + /* [d 0 0 t9 0 0 0 0 0 0 c t1 t0] = [p11 p10 p9 0 0 0 0 0 0 0 p1 p0] */ + + c += (uint64_t)a[0] * b[2] + + (uint64_t)a[1] * b[1] + + (uint64_t)a[2] * b[0]; + VERIFY_BITS(c, 62); + /* [d 0 0 t9 0 0 0 0 0 0 c t1 t0] = [p11 p10 p9 0 0 0 0 0 0 p2 p1 p0] */ + d += (uint64_t)a[3] * b[9] + + (uint64_t)a[4] * b[8] + + (uint64_t)a[5] * b[7] + + (uint64_t)a[6] * b[6] + + (uint64_t)a[7] * b[5] + + (uint64_t)a[8] * b[4] + + (uint64_t)a[9] * b[3]; + VERIFY_BITS(d, 63); + /* [d 0 0 t9 0 0 0 0 0 0 c t1 t0] = [p12 p11 p10 p9 0 0 0 0 0 0 p2 p1 p0] */ + u2 = d & M; d >>= 26; c += u2 * R0; + VERIFY_BITS(u2, 26); + VERIFY_BITS(d, 37); + VERIFY_BITS(c, 63); + /* [d u2 0 0 t9 0 0 0 0 0 0 c-u2*R0 t1 t0] = [p12 p11 p10 p9 0 0 0 0 0 0 p2 p1 p0] */ + t2 = c & M; c >>= 26; c += u2 * R1; + VERIFY_BITS(t2, 26); + VERIFY_BITS(c, 38); + /* [d u2 0 0 t9 0 0 0 0 0 c-u2*R1 t2-u2*R0 t1 t0] = [p12 p11 p10 p9 0 0 0 0 0 0 p2 p1 p0] */ + /* [d 0 0 0 t9 0 0 0 0 0 c t2 t1 t0] = [p12 p11 p10 p9 0 0 0 0 0 0 p2 p1 p0] */ + + c += (uint64_t)a[0] * b[3] + + (uint64_t)a[1] * b[2] + + (uint64_t)a[2] * b[1] + + (uint64_t)a[3] * b[0]; + VERIFY_BITS(c, 63); + /* [d 0 0 0 t9 0 0 0 0 0 c t2 t1 t0] = [p12 p11 p10 p9 0 0 0 0 0 p3 p2 p1 p0] */ + d += (uint64_t)a[4] * b[9] + + (uint64_t)a[5] * b[8] + + (uint64_t)a[6] * b[7] + + (uint64_t)a[7] * b[6] + + (uint64_t)a[8] * b[5] + + (uint64_t)a[9] * b[4]; + VERIFY_BITS(d, 63); + /* [d 0 0 0 t9 0 0 0 0 0 c t2 t1 t0] = [p13 p12 p11 p10 p9 0 0 0 0 0 p3 p2 p1 p0] */ + u3 = d & M; d >>= 26; c += u3 * R0; + VERIFY_BITS(u3, 26); + VERIFY_BITS(d, 37); + /* VERIFY_BITS(c, 64); */ + /* [d u3 0 0 0 t9 0 0 0 0 0 c-u3*R0 t2 t1 t0] = [p13 p12 p11 p10 p9 0 0 0 0 0 p3 p2 p1 p0] */ + t3 = c & M; c >>= 26; c += u3 * R1; + VERIFY_BITS(t3, 26); + VERIFY_BITS(c, 39); + /* [d u3 0 0 0 t9 0 0 0 0 c-u3*R1 t3-u3*R0 t2 t1 t0] = [p13 p12 p11 p10 p9 0 0 0 0 0 p3 p2 p1 p0] */ + /* [d 0 0 0 0 t9 0 0 0 0 c t3 t2 t1 t0] = [p13 p12 p11 p10 p9 0 0 0 0 0 p3 p2 p1 p0] */ + + c += (uint64_t)a[0] * b[4] + + (uint64_t)a[1] * b[3] + + (uint64_t)a[2] * b[2] + + (uint64_t)a[3] * b[1] + + (uint64_t)a[4] * b[0]; + VERIFY_BITS(c, 63); + /* [d 0 0 0 0 t9 0 0 0 0 c t3 t2 t1 t0] = [p13 p12 p11 p10 p9 0 0 0 0 p4 p3 p2 p1 p0] */ + d += (uint64_t)a[5] * b[9] + + (uint64_t)a[6] * b[8] + + (uint64_t)a[7] * b[7] + + (uint64_t)a[8] * b[6] + + (uint64_t)a[9] * b[5]; + VERIFY_BITS(d, 62); + /* [d 0 0 0 0 t9 0 0 0 0 c t3 t2 t1 t0] = [p14 p13 p12 p11 p10 p9 0 0 0 0 p4 p3 p2 p1 p0] */ + u4 = d & M; d >>= 26; c += u4 * R0; + VERIFY_BITS(u4, 26); + VERIFY_BITS(d, 36); + /* VERIFY_BITS(c, 64); */ + /* [d u4 0 0 0 0 t9 0 0 0 0 c-u4*R0 t3 t2 t1 t0] = [p14 p13 p12 p11 p10 p9 0 0 0 0 p4 p3 p2 p1 p0] */ + t4 = c & M; c >>= 26; c += u4 * R1; + VERIFY_BITS(t4, 26); + VERIFY_BITS(c, 39); + /* [d u4 0 0 0 0 t9 0 0 0 c-u4*R1 t4-u4*R0 t3 t2 t1 t0] = [p14 p13 p12 p11 p10 p9 0 0 0 0 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 t9 0 0 0 c t4 t3 t2 t1 t0] = [p14 p13 p12 p11 p10 p9 0 0 0 0 p4 p3 p2 p1 p0] */ + + c += (uint64_t)a[0] * b[5] + + (uint64_t)a[1] * b[4] + + (uint64_t)a[2] * b[3] + + (uint64_t)a[3] * b[2] + + (uint64_t)a[4] * b[1] + + (uint64_t)a[5] * b[0]; + VERIFY_BITS(c, 63); + /* [d 0 0 0 0 0 t9 0 0 0 c t4 t3 t2 t1 t0] = [p14 p13 p12 p11 p10 p9 0 0 0 p5 p4 p3 p2 p1 p0] */ + d += (uint64_t)a[6] * b[9] + + (uint64_t)a[7] * b[8] + + (uint64_t)a[8] * b[7] + + (uint64_t)a[9] * b[6]; + VERIFY_BITS(d, 62); + /* [d 0 0 0 0 0 t9 0 0 0 c t4 t3 t2 t1 t0] = [p15 p14 p13 p12 p11 p10 p9 0 0 0 p5 p4 p3 p2 p1 p0] */ + u5 = d & M; d >>= 26; c += u5 * R0; + VERIFY_BITS(u5, 26); + VERIFY_BITS(d, 36); + /* VERIFY_BITS(c, 64); */ + /* [d u5 0 0 0 0 0 t9 0 0 0 c-u5*R0 t4 t3 t2 t1 t0] = [p15 p14 p13 p12 p11 p10 p9 0 0 0 p5 p4 p3 p2 p1 p0] */ + t5 = c & M; c >>= 26; c += u5 * R1; + VERIFY_BITS(t5, 26); + VERIFY_BITS(c, 39); + /* [d u5 0 0 0 0 0 t9 0 0 c-u5*R1 t5-u5*R0 t4 t3 t2 t1 t0] = [p15 p14 p13 p12 p11 p10 p9 0 0 0 p5 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 0 t9 0 0 c t5 t4 t3 t2 t1 t0] = [p15 p14 p13 p12 p11 p10 p9 0 0 0 p5 p4 p3 p2 p1 p0] */ + + c += (uint64_t)a[0] * b[6] + + (uint64_t)a[1] * b[5] + + (uint64_t)a[2] * b[4] + + (uint64_t)a[3] * b[3] + + (uint64_t)a[4] * b[2] + + (uint64_t)a[5] * b[1] + + (uint64_t)a[6] * b[0]; + VERIFY_BITS(c, 63); + /* [d 0 0 0 0 0 0 t9 0 0 c t5 t4 t3 t2 t1 t0] = [p15 p14 p13 p12 p11 p10 p9 0 0 p6 p5 p4 p3 p2 p1 p0] */ + d += (uint64_t)a[7] * b[9] + + (uint64_t)a[8] * b[8] + + (uint64_t)a[9] * b[7]; + VERIFY_BITS(d, 61); + /* [d 0 0 0 0 0 0 t9 0 0 c t5 t4 t3 t2 t1 t0] = [p16 p15 p14 p13 p12 p11 p10 p9 0 0 p6 p5 p4 p3 p2 p1 p0] */ + u6 = d & M; d >>= 26; c += u6 * R0; + VERIFY_BITS(u6, 26); + VERIFY_BITS(d, 35); + /* VERIFY_BITS(c, 64); */ + /* [d u6 0 0 0 0 0 0 t9 0 0 c-u6*R0 t5 t4 t3 t2 t1 t0] = [p16 p15 p14 p13 p12 p11 p10 p9 0 0 p6 p5 p4 p3 p2 p1 p0] */ + t6 = c & M; c >>= 26; c += u6 * R1; + VERIFY_BITS(t6, 26); + VERIFY_BITS(c, 39); + /* [d u6 0 0 0 0 0 0 t9 0 c-u6*R1 t6-u6*R0 t5 t4 t3 t2 t1 t0] = [p16 p15 p14 p13 p12 p11 p10 p9 0 0 p6 p5 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 0 0 t9 0 c t6 t5 t4 t3 t2 t1 t0] = [p16 p15 p14 p13 p12 p11 p10 p9 0 0 p6 p5 p4 p3 p2 p1 p0] */ + + c += (uint64_t)a[0] * b[7] + + (uint64_t)a[1] * b[6] + + (uint64_t)a[2] * b[5] + + (uint64_t)a[3] * b[4] + + (uint64_t)a[4] * b[3] + + (uint64_t)a[5] * b[2] + + (uint64_t)a[6] * b[1] + + (uint64_t)a[7] * b[0]; + /* VERIFY_BITS(c, 64); */ + VERIFY_CHECK(c <= 0x8000007C00000007ULL); + /* [d 0 0 0 0 0 0 0 t9 0 c t6 t5 t4 t3 t2 t1 t0] = [p16 p15 p14 p13 p12 p11 p10 p9 0 p7 p6 p5 p4 p3 p2 p1 p0] */ + d += (uint64_t)a[8] * b[9] + + (uint64_t)a[9] * b[8]; + VERIFY_BITS(d, 58); + /* [d 0 0 0 0 0 0 0 t9 0 c t6 t5 t4 t3 t2 t1 t0] = [p17 p16 p15 p14 p13 p12 p11 p10 p9 0 p7 p6 p5 p4 p3 p2 p1 p0] */ + u7 = d & M; d >>= 26; c += u7 * R0; + VERIFY_BITS(u7, 26); + VERIFY_BITS(d, 32); + /* VERIFY_BITS(c, 64); */ + VERIFY_CHECK(c <= 0x800001703FFFC2F7ULL); + /* [d u7 0 0 0 0 0 0 0 t9 0 c-u7*R0 t6 t5 t4 t3 t2 t1 t0] = [p17 p16 p15 p14 p13 p12 p11 p10 p9 0 p7 p6 p5 p4 p3 p2 p1 p0] */ + t7 = c & M; c >>= 26; c += u7 * R1; + VERIFY_BITS(t7, 26); + VERIFY_BITS(c, 38); + /* [d u7 0 0 0 0 0 0 0 t9 c-u7*R1 t7-u7*R0 t6 t5 t4 t3 t2 t1 t0] = [p17 p16 p15 p14 p13 p12 p11 p10 p9 0 p7 p6 p5 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 0 0 0 t9 c t7 t6 t5 t4 t3 t2 t1 t0] = [p17 p16 p15 p14 p13 p12 p11 p10 p9 0 p7 p6 p5 p4 p3 p2 p1 p0] */ + + c += (uint64_t)a[0] * b[8] + + (uint64_t)a[1] * b[7] + + (uint64_t)a[2] * b[6] + + (uint64_t)a[3] * b[5] + + (uint64_t)a[4] * b[4] + + (uint64_t)a[5] * b[3] + + (uint64_t)a[6] * b[2] + + (uint64_t)a[7] * b[1] + + (uint64_t)a[8] * b[0]; + /* VERIFY_BITS(c, 64); */ + VERIFY_CHECK(c <= 0x9000007B80000008ULL); + /* [d 0 0 0 0 0 0 0 0 t9 c t7 t6 t5 t4 t3 t2 t1 t0] = [p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + d += (uint64_t)a[9] * b[9]; + VERIFY_BITS(d, 57); + /* [d 0 0 0 0 0 0 0 0 t9 c t7 t6 t5 t4 t3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + u8 = d & M; d >>= 26; c += u8 * R0; + VERIFY_BITS(u8, 26); + VERIFY_BITS(d, 31); + /* VERIFY_BITS(c, 64); */ + VERIFY_CHECK(c <= 0x9000016FBFFFC2F8ULL); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 t7 t6 t5 t4 t3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + + r[3] = t3; + VERIFY_BITS(r[3], 26); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 t7 t6 t5 t4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[4] = t4; + VERIFY_BITS(r[4], 26); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 t7 t6 t5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[5] = t5; + VERIFY_BITS(r[5], 26); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 t7 t6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[6] = t6; + VERIFY_BITS(r[6], 26); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 t7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[7] = t7; + VERIFY_BITS(r[7], 26); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + + r[8] = c & M; c >>= 26; c += u8 * R1; + VERIFY_BITS(r[8], 26); + VERIFY_BITS(c, 39); + /* [d u8 0 0 0 0 0 0 0 0 t9+c-u8*R1 r8-u8*R0 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 0 0 0 0 t9+c r8 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + c += d * R0 + t9; + VERIFY_BITS(c, 45); + /* [d 0 0 0 0 0 0 0 0 0 c-d*R0 r8 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[9] = c & (M >> 4); c >>= 22; c += d * (R1 << 4); + VERIFY_BITS(r[9], 22); + VERIFY_BITS(c, 46); + /* [d 0 0 0 0 0 0 0 0 r9+((c-d*R1<<4)<<22)-d*R0 r8 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 0 0 -d*R1 r9+(c<<22)-d*R0 r8 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + /* [r9+(c<<22) r8 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + + d = c * (R0 >> 4) + t0; + VERIFY_BITS(d, 56); + /* [r9+(c<<22) r8 r7 r6 r5 r4 r3 t2 t1 d-c*R0>>4] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[0] = d & M; d >>= 26; + VERIFY_BITS(r[0], 26); + VERIFY_BITS(d, 30); + /* [r9+(c<<22) r8 r7 r6 r5 r4 r3 t2 t1+d r0-c*R0>>4] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + d += c * (R1 >> 4) + t1; + VERIFY_BITS(d, 53); + VERIFY_CHECK(d <= 0x10000003FFFFBFULL); + /* [r9+(c<<22) r8 r7 r6 r5 r4 r3 t2 d-c*R1>>4 r0-c*R0>>4] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + /* [r9 r8 r7 r6 r5 r4 r3 t2 d r0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[1] = d & M; d >>= 26; + VERIFY_BITS(r[1], 26); + VERIFY_BITS(d, 27); + VERIFY_CHECK(d <= 0x4000000ULL); + /* [r9 r8 r7 r6 r5 r4 r3 t2+d r1 r0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + d += t2; + VERIFY_BITS(d, 27); + /* [r9 r8 r7 r6 r5 r4 r3 d r1 r0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[2] = d; + VERIFY_BITS(r[2], 27); + /* [r9 r8 r7 r6 r5 r4 r3 r2 r1 r0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ +} + +SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint32_t *r, const uint32_t *a) { + uint64_t c, d; + uint64_t u0, u1, u2, u3, u4, u5, u6, u7, u8; + uint32_t t9, t0, t1, t2, t3, t4, t5, t6, t7; + const uint32_t M = 0x3FFFFFFUL, R0 = 0x3D10UL, R1 = 0x400UL; + + VERIFY_BITS(a[0], 30); + VERIFY_BITS(a[1], 30); + VERIFY_BITS(a[2], 30); + VERIFY_BITS(a[3], 30); + VERIFY_BITS(a[4], 30); + VERIFY_BITS(a[5], 30); + VERIFY_BITS(a[6], 30); + VERIFY_BITS(a[7], 30); + VERIFY_BITS(a[8], 30); + VERIFY_BITS(a[9], 26); + + /** [... a b c] is a shorthand for ... + a<<52 + b<<26 + c<<0 mod n. + * px is a shorthand for sum(a[i]*a[x-i], i=0..x). + * Note that [x 0 0 0 0 0 0 0 0 0 0] = [x*R1 x*R0]. + */ + + d = (uint64_t)(a[0]*2) * a[9] + + (uint64_t)(a[1]*2) * a[8] + + (uint64_t)(a[2]*2) * a[7] + + (uint64_t)(a[3]*2) * a[6] + + (uint64_t)(a[4]*2) * a[5]; + /* VERIFY_BITS(d, 64); */ + /* [d 0 0 0 0 0 0 0 0 0] = [p9 0 0 0 0 0 0 0 0 0] */ + t9 = d & M; d >>= 26; + VERIFY_BITS(t9, 26); + VERIFY_BITS(d, 38); + /* [d t9 0 0 0 0 0 0 0 0 0] = [p9 0 0 0 0 0 0 0 0 0] */ + + c = (uint64_t)a[0] * a[0]; + VERIFY_BITS(c, 60); + /* [d t9 0 0 0 0 0 0 0 0 c] = [p9 0 0 0 0 0 0 0 0 p0] */ + d += (uint64_t)(a[1]*2) * a[9] + + (uint64_t)(a[2]*2) * a[8] + + (uint64_t)(a[3]*2) * a[7] + + (uint64_t)(a[4]*2) * a[6] + + (uint64_t)a[5] * a[5]; + VERIFY_BITS(d, 63); + /* [d t9 0 0 0 0 0 0 0 0 c] = [p10 p9 0 0 0 0 0 0 0 0 p0] */ + u0 = d & M; d >>= 26; c += u0 * R0; + VERIFY_BITS(u0, 26); + VERIFY_BITS(d, 37); + VERIFY_BITS(c, 61); + /* [d u0 t9 0 0 0 0 0 0 0 0 c-u0*R0] = [p10 p9 0 0 0 0 0 0 0 0 p0] */ + t0 = c & M; c >>= 26; c += u0 * R1; + VERIFY_BITS(t0, 26); + VERIFY_BITS(c, 37); + /* [d u0 t9 0 0 0 0 0 0 0 c-u0*R1 t0-u0*R0] = [p10 p9 0 0 0 0 0 0 0 0 p0] */ + /* [d 0 t9 0 0 0 0 0 0 0 c t0] = [p10 p9 0 0 0 0 0 0 0 0 p0] */ + + c += (uint64_t)(a[0]*2) * a[1]; + VERIFY_BITS(c, 62); + /* [d 0 t9 0 0 0 0 0 0 0 c t0] = [p10 p9 0 0 0 0 0 0 0 p1 p0] */ + d += (uint64_t)(a[2]*2) * a[9] + + (uint64_t)(a[3]*2) * a[8] + + (uint64_t)(a[4]*2) * a[7] + + (uint64_t)(a[5]*2) * a[6]; + VERIFY_BITS(d, 63); + /* [d 0 t9 0 0 0 0 0 0 0 c t0] = [p11 p10 p9 0 0 0 0 0 0 0 p1 p0] */ + u1 = d & M; d >>= 26; c += u1 * R0; + VERIFY_BITS(u1, 26); + VERIFY_BITS(d, 37); + VERIFY_BITS(c, 63); + /* [d u1 0 t9 0 0 0 0 0 0 0 c-u1*R0 t0] = [p11 p10 p9 0 0 0 0 0 0 0 p1 p0] */ + t1 = c & M; c >>= 26; c += u1 * R1; + VERIFY_BITS(t1, 26); + VERIFY_BITS(c, 38); + /* [d u1 0 t9 0 0 0 0 0 0 c-u1*R1 t1-u1*R0 t0] = [p11 p10 p9 0 0 0 0 0 0 0 p1 p0] */ + /* [d 0 0 t9 0 0 0 0 0 0 c t1 t0] = [p11 p10 p9 0 0 0 0 0 0 0 p1 p0] */ + + c += (uint64_t)(a[0]*2) * a[2] + + (uint64_t)a[1] * a[1]; + VERIFY_BITS(c, 62); + /* [d 0 0 t9 0 0 0 0 0 0 c t1 t0] = [p11 p10 p9 0 0 0 0 0 0 p2 p1 p0] */ + d += (uint64_t)(a[3]*2) * a[9] + + (uint64_t)(a[4]*2) * a[8] + + (uint64_t)(a[5]*2) * a[7] + + (uint64_t)a[6] * a[6]; + VERIFY_BITS(d, 63); + /* [d 0 0 t9 0 0 0 0 0 0 c t1 t0] = [p12 p11 p10 p9 0 0 0 0 0 0 p2 p1 p0] */ + u2 = d & M; d >>= 26; c += u2 * R0; + VERIFY_BITS(u2, 26); + VERIFY_BITS(d, 37); + VERIFY_BITS(c, 63); + /* [d u2 0 0 t9 0 0 0 0 0 0 c-u2*R0 t1 t0] = [p12 p11 p10 p9 0 0 0 0 0 0 p2 p1 p0] */ + t2 = c & M; c >>= 26; c += u2 * R1; + VERIFY_BITS(t2, 26); + VERIFY_BITS(c, 38); + /* [d u2 0 0 t9 0 0 0 0 0 c-u2*R1 t2-u2*R0 t1 t0] = [p12 p11 p10 p9 0 0 0 0 0 0 p2 p1 p0] */ + /* [d 0 0 0 t9 0 0 0 0 0 c t2 t1 t0] = [p12 p11 p10 p9 0 0 0 0 0 0 p2 p1 p0] */ + + c += (uint64_t)(a[0]*2) * a[3] + + (uint64_t)(a[1]*2) * a[2]; + VERIFY_BITS(c, 63); + /* [d 0 0 0 t9 0 0 0 0 0 c t2 t1 t0] = [p12 p11 p10 p9 0 0 0 0 0 p3 p2 p1 p0] */ + d += (uint64_t)(a[4]*2) * a[9] + + (uint64_t)(a[5]*2) * a[8] + + (uint64_t)(a[6]*2) * a[7]; + VERIFY_BITS(d, 63); + /* [d 0 0 0 t9 0 0 0 0 0 c t2 t1 t0] = [p13 p12 p11 p10 p9 0 0 0 0 0 p3 p2 p1 p0] */ + u3 = d & M; d >>= 26; c += u3 * R0; + VERIFY_BITS(u3, 26); + VERIFY_BITS(d, 37); + /* VERIFY_BITS(c, 64); */ + /* [d u3 0 0 0 t9 0 0 0 0 0 c-u3*R0 t2 t1 t0] = [p13 p12 p11 p10 p9 0 0 0 0 0 p3 p2 p1 p0] */ + t3 = c & M; c >>= 26; c += u3 * R1; + VERIFY_BITS(t3, 26); + VERIFY_BITS(c, 39); + /* [d u3 0 0 0 t9 0 0 0 0 c-u3*R1 t3-u3*R0 t2 t1 t0] = [p13 p12 p11 p10 p9 0 0 0 0 0 p3 p2 p1 p0] */ + /* [d 0 0 0 0 t9 0 0 0 0 c t3 t2 t1 t0] = [p13 p12 p11 p10 p9 0 0 0 0 0 p3 p2 p1 p0] */ + + c += (uint64_t)(a[0]*2) * a[4] + + (uint64_t)(a[1]*2) * a[3] + + (uint64_t)a[2] * a[2]; + VERIFY_BITS(c, 63); + /* [d 0 0 0 0 t9 0 0 0 0 c t3 t2 t1 t0] = [p13 p12 p11 p10 p9 0 0 0 0 p4 p3 p2 p1 p0] */ + d += (uint64_t)(a[5]*2) * a[9] + + (uint64_t)(a[6]*2) * a[8] + + (uint64_t)a[7] * a[7]; + VERIFY_BITS(d, 62); + /* [d 0 0 0 0 t9 0 0 0 0 c t3 t2 t1 t0] = [p14 p13 p12 p11 p10 p9 0 0 0 0 p4 p3 p2 p1 p0] */ + u4 = d & M; d >>= 26; c += u4 * R0; + VERIFY_BITS(u4, 26); + VERIFY_BITS(d, 36); + /* VERIFY_BITS(c, 64); */ + /* [d u4 0 0 0 0 t9 0 0 0 0 c-u4*R0 t3 t2 t1 t0] = [p14 p13 p12 p11 p10 p9 0 0 0 0 p4 p3 p2 p1 p0] */ + t4 = c & M; c >>= 26; c += u4 * R1; + VERIFY_BITS(t4, 26); + VERIFY_BITS(c, 39); + /* [d u4 0 0 0 0 t9 0 0 0 c-u4*R1 t4-u4*R0 t3 t2 t1 t0] = [p14 p13 p12 p11 p10 p9 0 0 0 0 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 t9 0 0 0 c t4 t3 t2 t1 t0] = [p14 p13 p12 p11 p10 p9 0 0 0 0 p4 p3 p2 p1 p0] */ + + c += (uint64_t)(a[0]*2) * a[5] + + (uint64_t)(a[1]*2) * a[4] + + (uint64_t)(a[2]*2) * a[3]; + VERIFY_BITS(c, 63); + /* [d 0 0 0 0 0 t9 0 0 0 c t4 t3 t2 t1 t0] = [p14 p13 p12 p11 p10 p9 0 0 0 p5 p4 p3 p2 p1 p0] */ + d += (uint64_t)(a[6]*2) * a[9] + + (uint64_t)(a[7]*2) * a[8]; + VERIFY_BITS(d, 62); + /* [d 0 0 0 0 0 t9 0 0 0 c t4 t3 t2 t1 t0] = [p15 p14 p13 p12 p11 p10 p9 0 0 0 p5 p4 p3 p2 p1 p0] */ + u5 = d & M; d >>= 26; c += u5 * R0; + VERIFY_BITS(u5, 26); + VERIFY_BITS(d, 36); + /* VERIFY_BITS(c, 64); */ + /* [d u5 0 0 0 0 0 t9 0 0 0 c-u5*R0 t4 t3 t2 t1 t0] = [p15 p14 p13 p12 p11 p10 p9 0 0 0 p5 p4 p3 p2 p1 p0] */ + t5 = c & M; c >>= 26; c += u5 * R1; + VERIFY_BITS(t5, 26); + VERIFY_BITS(c, 39); + /* [d u5 0 0 0 0 0 t9 0 0 c-u5*R1 t5-u5*R0 t4 t3 t2 t1 t0] = [p15 p14 p13 p12 p11 p10 p9 0 0 0 p5 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 0 t9 0 0 c t5 t4 t3 t2 t1 t0] = [p15 p14 p13 p12 p11 p10 p9 0 0 0 p5 p4 p3 p2 p1 p0] */ + + c += (uint64_t)(a[0]*2) * a[6] + + (uint64_t)(a[1]*2) * a[5] + + (uint64_t)(a[2]*2) * a[4] + + (uint64_t)a[3] * a[3]; + VERIFY_BITS(c, 63); + /* [d 0 0 0 0 0 0 t9 0 0 c t5 t4 t3 t2 t1 t0] = [p15 p14 p13 p12 p11 p10 p9 0 0 p6 p5 p4 p3 p2 p1 p0] */ + d += (uint64_t)(a[7]*2) * a[9] + + (uint64_t)a[8] * a[8]; + VERIFY_BITS(d, 61); + /* [d 0 0 0 0 0 0 t9 0 0 c t5 t4 t3 t2 t1 t0] = [p16 p15 p14 p13 p12 p11 p10 p9 0 0 p6 p5 p4 p3 p2 p1 p0] */ + u6 = d & M; d >>= 26; c += u6 * R0; + VERIFY_BITS(u6, 26); + VERIFY_BITS(d, 35); + /* VERIFY_BITS(c, 64); */ + /* [d u6 0 0 0 0 0 0 t9 0 0 c-u6*R0 t5 t4 t3 t2 t1 t0] = [p16 p15 p14 p13 p12 p11 p10 p9 0 0 p6 p5 p4 p3 p2 p1 p0] */ + t6 = c & M; c >>= 26; c += u6 * R1; + VERIFY_BITS(t6, 26); + VERIFY_BITS(c, 39); + /* [d u6 0 0 0 0 0 0 t9 0 c-u6*R1 t6-u6*R0 t5 t4 t3 t2 t1 t0] = [p16 p15 p14 p13 p12 p11 p10 p9 0 0 p6 p5 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 0 0 t9 0 c t6 t5 t4 t3 t2 t1 t0] = [p16 p15 p14 p13 p12 p11 p10 p9 0 0 p6 p5 p4 p3 p2 p1 p0] */ + + c += (uint64_t)(a[0]*2) * a[7] + + (uint64_t)(a[1]*2) * a[6] + + (uint64_t)(a[2]*2) * a[5] + + (uint64_t)(a[3]*2) * a[4]; + /* VERIFY_BITS(c, 64); */ + VERIFY_CHECK(c <= 0x8000007C00000007ULL); + /* [d 0 0 0 0 0 0 0 t9 0 c t6 t5 t4 t3 t2 t1 t0] = [p16 p15 p14 p13 p12 p11 p10 p9 0 p7 p6 p5 p4 p3 p2 p1 p0] */ + d += (uint64_t)(a[8]*2) * a[9]; + VERIFY_BITS(d, 58); + /* [d 0 0 0 0 0 0 0 t9 0 c t6 t5 t4 t3 t2 t1 t0] = [p17 p16 p15 p14 p13 p12 p11 p10 p9 0 p7 p6 p5 p4 p3 p2 p1 p0] */ + u7 = d & M; d >>= 26; c += u7 * R0; + VERIFY_BITS(u7, 26); + VERIFY_BITS(d, 32); + /* VERIFY_BITS(c, 64); */ + VERIFY_CHECK(c <= 0x800001703FFFC2F7ULL); + /* [d u7 0 0 0 0 0 0 0 t9 0 c-u7*R0 t6 t5 t4 t3 t2 t1 t0] = [p17 p16 p15 p14 p13 p12 p11 p10 p9 0 p7 p6 p5 p4 p3 p2 p1 p0] */ + t7 = c & M; c >>= 26; c += u7 * R1; + VERIFY_BITS(t7, 26); + VERIFY_BITS(c, 38); + /* [d u7 0 0 0 0 0 0 0 t9 c-u7*R1 t7-u7*R0 t6 t5 t4 t3 t2 t1 t0] = [p17 p16 p15 p14 p13 p12 p11 p10 p9 0 p7 p6 p5 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 0 0 0 t9 c t7 t6 t5 t4 t3 t2 t1 t0] = [p17 p16 p15 p14 p13 p12 p11 p10 p9 0 p7 p6 p5 p4 p3 p2 p1 p0] */ + + c += (uint64_t)(a[0]*2) * a[8] + + (uint64_t)(a[1]*2) * a[7] + + (uint64_t)(a[2]*2) * a[6] + + (uint64_t)(a[3]*2) * a[5] + + (uint64_t)a[4] * a[4]; + /* VERIFY_BITS(c, 64); */ + VERIFY_CHECK(c <= 0x9000007B80000008ULL); + /* [d 0 0 0 0 0 0 0 0 t9 c t7 t6 t5 t4 t3 t2 t1 t0] = [p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + d += (uint64_t)a[9] * a[9]; + VERIFY_BITS(d, 57); + /* [d 0 0 0 0 0 0 0 0 t9 c t7 t6 t5 t4 t3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + u8 = d & M; d >>= 26; c += u8 * R0; + VERIFY_BITS(u8, 26); + VERIFY_BITS(d, 31); + /* VERIFY_BITS(c, 64); */ + VERIFY_CHECK(c <= 0x9000016FBFFFC2F8ULL); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 t7 t6 t5 t4 t3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + + r[3] = t3; + VERIFY_BITS(r[3], 26); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 t7 t6 t5 t4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[4] = t4; + VERIFY_BITS(r[4], 26); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 t7 t6 t5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[5] = t5; + VERIFY_BITS(r[5], 26); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 t7 t6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[6] = t6; + VERIFY_BITS(r[6], 26); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 t7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[7] = t7; + VERIFY_BITS(r[7], 26); + /* [d u8 0 0 0 0 0 0 0 0 t9 c-u8*R0 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + + r[8] = c & M; c >>= 26; c += u8 * R1; + VERIFY_BITS(r[8], 26); + VERIFY_BITS(c, 39); + /* [d u8 0 0 0 0 0 0 0 0 t9+c-u8*R1 r8-u8*R0 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 0 0 0 0 t9+c r8 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + c += d * R0 + t9; + VERIFY_BITS(c, 45); + /* [d 0 0 0 0 0 0 0 0 0 c-d*R0 r8 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[9] = c & (M >> 4); c >>= 22; c += d * (R1 << 4); + VERIFY_BITS(r[9], 22); + VERIFY_BITS(c, 46); + /* [d 0 0 0 0 0 0 0 0 r9+((c-d*R1<<4)<<22)-d*R0 r8 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + /* [d 0 0 0 0 0 0 0 -d*R1 r9+(c<<22)-d*R0 r8 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + /* [r9+(c<<22) r8 r7 r6 r5 r4 r3 t2 t1 t0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + + d = c * (R0 >> 4) + t0; + VERIFY_BITS(d, 56); + /* [r9+(c<<22) r8 r7 r6 r5 r4 r3 t2 t1 d-c*R0>>4] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[0] = d & M; d >>= 26; + VERIFY_BITS(r[0], 26); + VERIFY_BITS(d, 30); + /* [r9+(c<<22) r8 r7 r6 r5 r4 r3 t2 t1+d r0-c*R0>>4] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + d += c * (R1 >> 4) + t1; + VERIFY_BITS(d, 53); + VERIFY_CHECK(d <= 0x10000003FFFFBFULL); + /* [r9+(c<<22) r8 r7 r6 r5 r4 r3 t2 d-c*R1>>4 r0-c*R0>>4] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + /* [r9 r8 r7 r6 r5 r4 r3 t2 d r0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[1] = d & M; d >>= 26; + VERIFY_BITS(r[1], 26); + VERIFY_BITS(d, 27); + VERIFY_CHECK(d <= 0x4000000ULL); + /* [r9 r8 r7 r6 r5 r4 r3 t2+d r1 r0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + d += t2; + VERIFY_BITS(d, 27); + /* [r9 r8 r7 r6 r5 r4 r3 d r1 r0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[2] = d; + VERIFY_BITS(r[2], 27); + /* [r9 r8 r7 r6 r5 r4 r3 r2 r1 r0] = [p18 p17 p16 p15 p14 p13 p12 p11 p10 p9 p8 p7 p6 p5 p4 p3 p2 p1 p0] */ +} + +static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { +#ifdef VERIFY + VERIFY_CHECK(a->magnitude <= 8); + VERIFY_CHECK(b->magnitude <= 8); + secp256k1_fe_verify(a); + secp256k1_fe_verify(b); + VERIFY_CHECK(r != b); + VERIFY_CHECK(a != b); +#endif + secp256k1_fe_mul_inner(r->n, a->n, b->n); +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 0; + secp256k1_fe_verify(r); +#endif +} + +static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { +#ifdef VERIFY + VERIFY_CHECK(a->magnitude <= 8); + secp256k1_fe_verify(a); +#endif + secp256k1_fe_sqr_inner(r->n, a->n); +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 0; + secp256k1_fe_verify(r); +#endif +} + +static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { + uint32_t mask0, mask1; + VG_CHECK_VERIFY(r->n, sizeof(r->n)); + mask0 = flag + ~((uint32_t)0); + mask1 = ~mask0; + r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); + r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); + r->n[2] = (r->n[2] & mask0) | (a->n[2] & mask1); + r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1); + r->n[4] = (r->n[4] & mask0) | (a->n[4] & mask1); + r->n[5] = (r->n[5] & mask0) | (a->n[5] & mask1); + r->n[6] = (r->n[6] & mask0) | (a->n[6] & mask1); + r->n[7] = (r->n[7] & mask0) | (a->n[7] & mask1); + r->n[8] = (r->n[8] & mask0) | (a->n[8] & mask1); + r->n[9] = (r->n[9] & mask0) | (a->n[9] & mask1); +#ifdef VERIFY + if (flag) { + r->magnitude = a->magnitude; + r->normalized = a->normalized; + } +#endif +} + +static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) { + uint32_t mask0, mask1; + VG_CHECK_VERIFY(r->n, sizeof(r->n)); + mask0 = flag + ~((uint32_t)0); + mask1 = ~mask0; + r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); + r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); + r->n[2] = (r->n[2] & mask0) | (a->n[2] & mask1); + r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1); + r->n[4] = (r->n[4] & mask0) | (a->n[4] & mask1); + r->n[5] = (r->n[5] & mask0) | (a->n[5] & mask1); + r->n[6] = (r->n[6] & mask0) | (a->n[6] & mask1); + r->n[7] = (r->n[7] & mask0) | (a->n[7] & mask1); +} + +static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { +#ifdef VERIFY + VERIFY_CHECK(a->normalized); +#endif + r->n[0] = a->n[0] | a->n[1] << 26; + r->n[1] = a->n[1] >> 6 | a->n[2] << 20; + r->n[2] = a->n[2] >> 12 | a->n[3] << 14; + r->n[3] = a->n[3] >> 18 | a->n[4] << 8; + r->n[4] = a->n[4] >> 24 | a->n[5] << 2 | a->n[6] << 28; + r->n[5] = a->n[6] >> 4 | a->n[7] << 22; + r->n[6] = a->n[7] >> 10 | a->n[8] << 16; + r->n[7] = a->n[8] >> 16 | a->n[9] << 10; +} + +static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { + r->n[0] = a->n[0] & 0x3FFFFFFUL; + r->n[1] = a->n[0] >> 26 | ((a->n[1] << 6) & 0x3FFFFFFUL); + r->n[2] = a->n[1] >> 20 | ((a->n[2] << 12) & 0x3FFFFFFUL); + r->n[3] = a->n[2] >> 14 | ((a->n[3] << 18) & 0x3FFFFFFUL); + r->n[4] = a->n[3] >> 8 | ((a->n[4] << 24) & 0x3FFFFFFUL); + r->n[5] = (a->n[4] >> 2) & 0x3FFFFFFUL; + r->n[6] = a->n[4] >> 28 | ((a->n[5] << 4) & 0x3FFFFFFUL); + r->n[7] = a->n[5] >> 22 | ((a->n[6] << 10) & 0x3FFFFFFUL); + r->n[8] = a->n[6] >> 16 | ((a->n[7] << 16) & 0x3FFFFFFUL); + r->n[9] = a->n[7] >> 10; +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 1; +#endif +} + +static void secp256k1_fe_from_signed30(secp256k1_fe *r, const secp256k1_modinv32_signed30 *a) { + const uint32_t M26 = UINT32_MAX >> 6; + const uint32_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4], + a5 = a->v[5], a6 = a->v[6], a7 = a->v[7], a8 = a->v[8]; + + /* The output from secp256k1_modinv32{_var} should be normalized to range [0,modulus), and + * have limbs in [0,2^30). The modulus is < 2^256, so the top limb must be below 2^(256-30*8). + */ + VERIFY_CHECK(a0 >> 30 == 0); + VERIFY_CHECK(a1 >> 30 == 0); + VERIFY_CHECK(a2 >> 30 == 0); + VERIFY_CHECK(a3 >> 30 == 0); + VERIFY_CHECK(a4 >> 30 == 0); + VERIFY_CHECK(a5 >> 30 == 0); + VERIFY_CHECK(a6 >> 30 == 0); + VERIFY_CHECK(a7 >> 30 == 0); + VERIFY_CHECK(a8 >> 16 == 0); + + r->n[0] = a0 & M26; + r->n[1] = (a0 >> 26 | a1 << 4) & M26; + r->n[2] = (a1 >> 22 | a2 << 8) & M26; + r->n[3] = (a2 >> 18 | a3 << 12) & M26; + r->n[4] = (a3 >> 14 | a4 << 16) & M26; + r->n[5] = (a4 >> 10 | a5 << 20) & M26; + r->n[6] = (a5 >> 6 | a6 << 24) & M26; + r->n[7] = (a6 >> 2 ) & M26; + r->n[8] = (a6 >> 28 | a7 << 2) & M26; + r->n[9] = (a7 >> 24 | a8 << 6); + +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 1; + secp256k1_fe_verify(r); +#endif +} + +static void secp256k1_fe_to_signed30(secp256k1_modinv32_signed30 *r, const secp256k1_fe *a) { + const uint32_t M30 = UINT32_MAX >> 2; + const uint64_t a0 = a->n[0], a1 = a->n[1], a2 = a->n[2], a3 = a->n[3], a4 = a->n[4], + a5 = a->n[5], a6 = a->n[6], a7 = a->n[7], a8 = a->n[8], a9 = a->n[9]; + +#ifdef VERIFY + VERIFY_CHECK(a->normalized); +#endif + + r->v[0] = (a0 | a1 << 26) & M30; + r->v[1] = (a1 >> 4 | a2 << 22) & M30; + r->v[2] = (a2 >> 8 | a3 << 18) & M30; + r->v[3] = (a3 >> 12 | a4 << 14) & M30; + r->v[4] = (a4 >> 16 | a5 << 10) & M30; + r->v[5] = (a5 >> 20 | a6 << 6) & M30; + r->v[6] = (a6 >> 24 | a7 << 2 + | a8 << 28) & M30; + r->v[7] = (a8 >> 2 | a9 << 24) & M30; + r->v[8] = a9 >> 6; +} + +static const secp256k1_modinv32_modinfo secp256k1_const_modinfo_fe = { + {{-0x3D1, -4, 0, 0, 0, 0, 0, 0, 65536}}, + 0x2DDACACFL +}; + +static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { + secp256k1_fe tmp; + secp256k1_modinv32_signed30 s; + + tmp = *x; + secp256k1_fe_normalize_var(&tmp); + secp256k1_fe_to_signed30(&s, &tmp); + secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_fe); + secp256k1_fe_from_signed30(r, &s); + + VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp)); +} + +#endif /* SECP256K1_FIELD_REPR_IMPL_H */ diff --git a/secp256k1/field_5x52.h b/secp256k1/field_5x52.h new file mode 100644 index 00000000000..50ee3f9ec96 --- /dev/null +++ b/secp256k1/field_5x52.h @@ -0,0 +1,55 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_FIELD_REPR_H +#define SECP256K1_FIELD_REPR_H + +#include + +typedef struct { + /* X = sum(i=0..4, n[i]*2^(i*52)) mod p + * where p = 2^256 - 0x1000003D1 + */ + uint64_t n[5]; +#ifdef VERIFY + int magnitude; + int normalized; +#endif +} secp256k1_fe; + +/* Unpacks a constant into a overlapping multi-limbed FE element. */ +#define SECP256K1_FE_CONST_INNER(d7, d6, d5, d4, d3, d2, d1, d0) { \ + (d0) | (((uint64_t)(d1) & 0xFFFFFUL) << 32), \ + ((uint64_t)(d1) >> 20) | (((uint64_t)(d2)) << 12) | (((uint64_t)(d3) & 0xFFUL) << 44), \ + ((uint64_t)(d3) >> 8) | (((uint64_t)(d4) & 0xFFFFFFFUL) << 24), \ + ((uint64_t)(d4) >> 28) | (((uint64_t)(d5)) << 4) | (((uint64_t)(d6) & 0xFFFFUL) << 36), \ + ((uint64_t)(d6) >> 16) | (((uint64_t)(d7)) << 16) \ +} + +#ifdef VERIFY +#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0)), 1, 1} +#else +#define SECP256K1_FE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {SECP256K1_FE_CONST_INNER((d7), (d6), (d5), (d4), (d3), (d2), (d1), (d0))} +#endif + +typedef struct { + uint64_t n[4]; +} secp256k1_fe_storage; + +#define SECP256K1_FE_STORAGE_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {{ \ + (d0) | (((uint64_t)(d1)) << 32), \ + (d2) | (((uint64_t)(d3)) << 32), \ + (d4) | (((uint64_t)(d5)) << 32), \ + (d6) | (((uint64_t)(d7)) << 32) \ +}} + +#define SECP256K1_FE_STORAGE_CONST_GET(d) \ + (uint32_t)(d.n[3] >> 32), (uint32_t)d.n[3], \ + (uint32_t)(d.n[2] >> 32), (uint32_t)d.n[2], \ + (uint32_t)(d.n[1] >> 32), (uint32_t)d.n[1], \ + (uint32_t)(d.n[0] >> 32), (uint32_t)d.n[0] + +#endif /* SECP256K1_FIELD_REPR_H */ diff --git a/secp256k1/field_5x52_asm_impl.h b/secp256k1/field_5x52_asm_impl.h new file mode 100644 index 00000000000..a2118044ab3 --- /dev/null +++ b/secp256k1/field_5x52_asm_impl.h @@ -0,0 +1,502 @@ +/*********************************************************************** + * Copyright (c) 2013-2014 Diederik Huys, Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +/** + * Changelog: + * - March 2013, Diederik Huys: original version + * - November 2014, Pieter Wuille: updated to use Peter Dettman's parallel multiplication algorithm + * - December 2014, Pieter Wuille: converted from YASM to GCC inline assembly + */ + +#ifndef SECP256K1_FIELD_INNER5X52_IMPL_H +#define SECP256K1_FIELD_INNER5X52_IMPL_H + +SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t *a, const uint64_t * SECP256K1_RESTRICT b) { +/** + * Registers: rdx:rax = multiplication accumulator + * r9:r8 = c + * r15:rcx = d + * r10-r14 = a0-a4 + * rbx = b + * rdi = r + * rsi = a / t? + */ + uint64_t tmp1, tmp2, tmp3; +__asm__ __volatile__( + "movq 0(%%rsi),%%r10\n" + "movq 8(%%rsi),%%r11\n" + "movq 16(%%rsi),%%r12\n" + "movq 24(%%rsi),%%r13\n" + "movq 32(%%rsi),%%r14\n" + + /* d += a3 * b0 */ + "movq 0(%%rbx),%%rax\n" + "mulq %%r13\n" + "movq %%rax,%%rcx\n" + "movq %%rdx,%%r15\n" + /* d += a2 * b1 */ + "movq 8(%%rbx),%%rax\n" + "mulq %%r12\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a1 * b2 */ + "movq 16(%%rbx),%%rax\n" + "mulq %%r11\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d = a0 * b3 */ + "movq 24(%%rbx),%%rax\n" + "mulq %%r10\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* c = a4 * b4 */ + "movq 32(%%rbx),%%rax\n" + "mulq %%r14\n" + "movq %%rax,%%r8\n" + "movq %%rdx,%%r9\n" + /* d += (c & M) * R */ + "movq $0xfffffffffffff,%%rdx\n" + "andq %%rdx,%%rax\n" + "movq $0x1000003d10,%%rdx\n" + "mulq %%rdx\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* c >>= 52 (%%r8 only) */ + "shrdq $52,%%r9,%%r8\n" + /* t3 (tmp1) = d & M */ + "movq %%rcx,%%rsi\n" + "movq $0xfffffffffffff,%%rdx\n" + "andq %%rdx,%%rsi\n" + "movq %%rsi,%q1\n" + /* d >>= 52 */ + "shrdq $52,%%r15,%%rcx\n" + "xorq %%r15,%%r15\n" + /* d += a4 * b0 */ + "movq 0(%%rbx),%%rax\n" + "mulq %%r14\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a3 * b1 */ + "movq 8(%%rbx),%%rax\n" + "mulq %%r13\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a2 * b2 */ + "movq 16(%%rbx),%%rax\n" + "mulq %%r12\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a1 * b3 */ + "movq 24(%%rbx),%%rax\n" + "mulq %%r11\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a0 * b4 */ + "movq 32(%%rbx),%%rax\n" + "mulq %%r10\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += c * R */ + "movq %%r8,%%rax\n" + "movq $0x1000003d10,%%rdx\n" + "mulq %%rdx\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* t4 = d & M (%%rsi) */ + "movq %%rcx,%%rsi\n" + "movq $0xfffffffffffff,%%rdx\n" + "andq %%rdx,%%rsi\n" + /* d >>= 52 */ + "shrdq $52,%%r15,%%rcx\n" + "xorq %%r15,%%r15\n" + /* tx = t4 >> 48 (tmp3) */ + "movq %%rsi,%%rax\n" + "shrq $48,%%rax\n" + "movq %%rax,%q3\n" + /* t4 &= (M >> 4) (tmp2) */ + "movq $0xffffffffffff,%%rax\n" + "andq %%rax,%%rsi\n" + "movq %%rsi,%q2\n" + /* c = a0 * b0 */ + "movq 0(%%rbx),%%rax\n" + "mulq %%r10\n" + "movq %%rax,%%r8\n" + "movq %%rdx,%%r9\n" + /* d += a4 * b1 */ + "movq 8(%%rbx),%%rax\n" + "mulq %%r14\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a3 * b2 */ + "movq 16(%%rbx),%%rax\n" + "mulq %%r13\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a2 * b3 */ + "movq 24(%%rbx),%%rax\n" + "mulq %%r12\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a1 * b4 */ + "movq 32(%%rbx),%%rax\n" + "mulq %%r11\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* u0 = d & M (%%rsi) */ + "movq %%rcx,%%rsi\n" + "movq $0xfffffffffffff,%%rdx\n" + "andq %%rdx,%%rsi\n" + /* d >>= 52 */ + "shrdq $52,%%r15,%%rcx\n" + "xorq %%r15,%%r15\n" + /* u0 = (u0 << 4) | tx (%%rsi) */ + "shlq $4,%%rsi\n" + "movq %q3,%%rax\n" + "orq %%rax,%%rsi\n" + /* c += u0 * (R >> 4) */ + "movq $0x1000003d1,%%rax\n" + "mulq %%rsi\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* r[0] = c & M */ + "movq %%r8,%%rax\n" + "movq $0xfffffffffffff,%%rdx\n" + "andq %%rdx,%%rax\n" + "movq %%rax,0(%%rdi)\n" + /* c >>= 52 */ + "shrdq $52,%%r9,%%r8\n" + "xorq %%r9,%%r9\n" + /* c += a1 * b0 */ + "movq 0(%%rbx),%%rax\n" + "mulq %%r11\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* c += a0 * b1 */ + "movq 8(%%rbx),%%rax\n" + "mulq %%r10\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* d += a4 * b2 */ + "movq 16(%%rbx),%%rax\n" + "mulq %%r14\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a3 * b3 */ + "movq 24(%%rbx),%%rax\n" + "mulq %%r13\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a2 * b4 */ + "movq 32(%%rbx),%%rax\n" + "mulq %%r12\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* c += (d & M) * R */ + "movq %%rcx,%%rax\n" + "movq $0xfffffffffffff,%%rdx\n" + "andq %%rdx,%%rax\n" + "movq $0x1000003d10,%%rdx\n" + "mulq %%rdx\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* d >>= 52 */ + "shrdq $52,%%r15,%%rcx\n" + "xorq %%r15,%%r15\n" + /* r[1] = c & M */ + "movq %%r8,%%rax\n" + "movq $0xfffffffffffff,%%rdx\n" + "andq %%rdx,%%rax\n" + "movq %%rax,8(%%rdi)\n" + /* c >>= 52 */ + "shrdq $52,%%r9,%%r8\n" + "xorq %%r9,%%r9\n" + /* c += a2 * b0 */ + "movq 0(%%rbx),%%rax\n" + "mulq %%r12\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* c += a1 * b1 */ + "movq 8(%%rbx),%%rax\n" + "mulq %%r11\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* c += a0 * b2 (last use of %%r10 = a0) */ + "movq 16(%%rbx),%%rax\n" + "mulq %%r10\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* fetch t3 (%%r10, overwrites a0), t4 (%%rsi) */ + "movq %q2,%%rsi\n" + "movq %q1,%%r10\n" + /* d += a4 * b3 */ + "movq 24(%%rbx),%%rax\n" + "mulq %%r14\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* d += a3 * b4 */ + "movq 32(%%rbx),%%rax\n" + "mulq %%r13\n" + "addq %%rax,%%rcx\n" + "adcq %%rdx,%%r15\n" + /* c += (d & M) * R */ + "movq %%rcx,%%rax\n" + "movq $0xfffffffffffff,%%rdx\n" + "andq %%rdx,%%rax\n" + "movq $0x1000003d10,%%rdx\n" + "mulq %%rdx\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* d >>= 52 (%%rcx only) */ + "shrdq $52,%%r15,%%rcx\n" + /* r[2] = c & M */ + "movq %%r8,%%rax\n" + "movq $0xfffffffffffff,%%rdx\n" + "andq %%rdx,%%rax\n" + "movq %%rax,16(%%rdi)\n" + /* c >>= 52 */ + "shrdq $52,%%r9,%%r8\n" + "xorq %%r9,%%r9\n" + /* c += t3 */ + "addq %%r10,%%r8\n" + /* c += d * R */ + "movq %%rcx,%%rax\n" + "movq $0x1000003d10,%%rdx\n" + "mulq %%rdx\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* r[3] = c & M */ + "movq %%r8,%%rax\n" + "movq $0xfffffffffffff,%%rdx\n" + "andq %%rdx,%%rax\n" + "movq %%rax,24(%%rdi)\n" + /* c >>= 52 (%%r8 only) */ + "shrdq $52,%%r9,%%r8\n" + /* c += t4 (%%r8 only) */ + "addq %%rsi,%%r8\n" + /* r[4] = c */ + "movq %%r8,32(%%rdi)\n" +: "+S"(a), "=m"(tmp1), "=m"(tmp2), "=m"(tmp3) +: "b"(b), "D"(r) +: "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory" +); +} + +SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t *a) { +/** + * Registers: rdx:rax = multiplication accumulator + * r9:r8 = c + * rcx:rbx = d + * r10-r14 = a0-a4 + * r15 = M (0xfffffffffffff) + * rdi = r + * rsi = a / t? + */ + uint64_t tmp1, tmp2, tmp3; +__asm__ __volatile__( + "movq 0(%%rsi),%%r10\n" + "movq 8(%%rsi),%%r11\n" + "movq 16(%%rsi),%%r12\n" + "movq 24(%%rsi),%%r13\n" + "movq 32(%%rsi),%%r14\n" + "movq $0xfffffffffffff,%%r15\n" + + /* d = (a0*2) * a3 */ + "leaq (%%r10,%%r10,1),%%rax\n" + "mulq %%r13\n" + "movq %%rax,%%rbx\n" + "movq %%rdx,%%rcx\n" + /* d += (a1*2) * a2 */ + "leaq (%%r11,%%r11,1),%%rax\n" + "mulq %%r12\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* c = a4 * a4 */ + "movq %%r14,%%rax\n" + "mulq %%r14\n" + "movq %%rax,%%r8\n" + "movq %%rdx,%%r9\n" + /* d += (c & M) * R */ + "andq %%r15,%%rax\n" + "movq $0x1000003d10,%%rdx\n" + "mulq %%rdx\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* c >>= 52 (%%r8 only) */ + "shrdq $52,%%r9,%%r8\n" + /* t3 (tmp1) = d & M */ + "movq %%rbx,%%rsi\n" + "andq %%r15,%%rsi\n" + "movq %%rsi,%q1\n" + /* d >>= 52 */ + "shrdq $52,%%rcx,%%rbx\n" + "xorq %%rcx,%%rcx\n" + /* a4 *= 2 */ + "addq %%r14,%%r14\n" + /* d += a0 * a4 */ + "movq %%r10,%%rax\n" + "mulq %%r14\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* d+= (a1*2) * a3 */ + "leaq (%%r11,%%r11,1),%%rax\n" + "mulq %%r13\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* d += a2 * a2 */ + "movq %%r12,%%rax\n" + "mulq %%r12\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* d += c * R */ + "movq %%r8,%%rax\n" + "movq $0x1000003d10,%%rdx\n" + "mulq %%rdx\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* t4 = d & M (%%rsi) */ + "movq %%rbx,%%rsi\n" + "andq %%r15,%%rsi\n" + /* d >>= 52 */ + "shrdq $52,%%rcx,%%rbx\n" + "xorq %%rcx,%%rcx\n" + /* tx = t4 >> 48 (tmp3) */ + "movq %%rsi,%%rax\n" + "shrq $48,%%rax\n" + "movq %%rax,%q3\n" + /* t4 &= (M >> 4) (tmp2) */ + "movq $0xffffffffffff,%%rax\n" + "andq %%rax,%%rsi\n" + "movq %%rsi,%q2\n" + /* c = a0 * a0 */ + "movq %%r10,%%rax\n" + "mulq %%r10\n" + "movq %%rax,%%r8\n" + "movq %%rdx,%%r9\n" + /* d += a1 * a4 */ + "movq %%r11,%%rax\n" + "mulq %%r14\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* d += (a2*2) * a3 */ + "leaq (%%r12,%%r12,1),%%rax\n" + "mulq %%r13\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* u0 = d & M (%%rsi) */ + "movq %%rbx,%%rsi\n" + "andq %%r15,%%rsi\n" + /* d >>= 52 */ + "shrdq $52,%%rcx,%%rbx\n" + "xorq %%rcx,%%rcx\n" + /* u0 = (u0 << 4) | tx (%%rsi) */ + "shlq $4,%%rsi\n" + "movq %q3,%%rax\n" + "orq %%rax,%%rsi\n" + /* c += u0 * (R >> 4) */ + "movq $0x1000003d1,%%rax\n" + "mulq %%rsi\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* r[0] = c & M */ + "movq %%r8,%%rax\n" + "andq %%r15,%%rax\n" + "movq %%rax,0(%%rdi)\n" + /* c >>= 52 */ + "shrdq $52,%%r9,%%r8\n" + "xorq %%r9,%%r9\n" + /* a0 *= 2 */ + "addq %%r10,%%r10\n" + /* c += a0 * a1 */ + "movq %%r10,%%rax\n" + "mulq %%r11\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* d += a2 * a4 */ + "movq %%r12,%%rax\n" + "mulq %%r14\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* d += a3 * a3 */ + "movq %%r13,%%rax\n" + "mulq %%r13\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* c += (d & M) * R */ + "movq %%rbx,%%rax\n" + "andq %%r15,%%rax\n" + "movq $0x1000003d10,%%rdx\n" + "mulq %%rdx\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* d >>= 52 */ + "shrdq $52,%%rcx,%%rbx\n" + "xorq %%rcx,%%rcx\n" + /* r[1] = c & M */ + "movq %%r8,%%rax\n" + "andq %%r15,%%rax\n" + "movq %%rax,8(%%rdi)\n" + /* c >>= 52 */ + "shrdq $52,%%r9,%%r8\n" + "xorq %%r9,%%r9\n" + /* c += a0 * a2 (last use of %%r10) */ + "movq %%r10,%%rax\n" + "mulq %%r12\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* fetch t3 (%%r10, overwrites a0),t4 (%%rsi) */ + "movq %q2,%%rsi\n" + "movq %q1,%%r10\n" + /* c += a1 * a1 */ + "movq %%r11,%%rax\n" + "mulq %%r11\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* d += a3 * a4 */ + "movq %%r13,%%rax\n" + "mulq %%r14\n" + "addq %%rax,%%rbx\n" + "adcq %%rdx,%%rcx\n" + /* c += (d & M) * R */ + "movq %%rbx,%%rax\n" + "andq %%r15,%%rax\n" + "movq $0x1000003d10,%%rdx\n" + "mulq %%rdx\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* d >>= 52 (%%rbx only) */ + "shrdq $52,%%rcx,%%rbx\n" + /* r[2] = c & M */ + "movq %%r8,%%rax\n" + "andq %%r15,%%rax\n" + "movq %%rax,16(%%rdi)\n" + /* c >>= 52 */ + "shrdq $52,%%r9,%%r8\n" + "xorq %%r9,%%r9\n" + /* c += t3 */ + "addq %%r10,%%r8\n" + /* c += d * R */ + "movq %%rbx,%%rax\n" + "movq $0x1000003d10,%%rdx\n" + "mulq %%rdx\n" + "addq %%rax,%%r8\n" + "adcq %%rdx,%%r9\n" + /* r[3] = c & M */ + "movq %%r8,%%rax\n" + "andq %%r15,%%rax\n" + "movq %%rax,24(%%rdi)\n" + /* c >>= 52 (%%r8 only) */ + "shrdq $52,%%r9,%%r8\n" + /* c += t4 (%%r8 only) */ + "addq %%rsi,%%r8\n" + /* r[4] = c */ + "movq %%r8,32(%%rdi)\n" +: "+S"(a), "=m"(tmp1), "=m"(tmp2), "=m"(tmp3) +: "D"(r) +: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory" +); +} + +#endif /* SECP256K1_FIELD_INNER5X52_IMPL_H */ diff --git a/secp256k1/field_5x52_impl.h b/secp256k1/field_5x52_impl.h new file mode 100644 index 00000000000..3619e96094d --- /dev/null +++ b/secp256k1/field_5x52_impl.h @@ -0,0 +1,563 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_FIELD_REPR_IMPL_H +#define SECP256K1_FIELD_REPR_IMPL_H + +#if defined HAVE_CONFIG_H +#include "libsecp256k1-config.h" +#endif + +#include "util.h" +#include "field.h" +#include "modinv64_impl.h" + +#include "field_5x52_int128_impl.h" + +/** Implements arithmetic modulo FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFC2F, + * represented as 5 uint64_t's in base 2^52. The values are allowed to contain >52 each. In particular, + * each FieldElem has a 'magnitude' associated with it. Internally, a magnitude M means each element + * is at most M*(2^53-1), except the most significant one, which is limited to M*(2^49-1). All operations + * accept any input with magnitude at most M, and have different rules for propagating magnitude to their + * output. + */ + +#ifdef VERIFY +static void secp256k1_fe_verify(const secp256k1_fe *a) { + const uint64_t *d = a->n; + int m = a->normalized ? 1 : 2 * a->magnitude, r = 1; + /* secp256k1 'p' value defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */ + r &= (d[0] <= 0xFFFFFFFFFFFFFULL * m); + r &= (d[1] <= 0xFFFFFFFFFFFFFULL * m); + r &= (d[2] <= 0xFFFFFFFFFFFFFULL * m); + r &= (d[3] <= 0xFFFFFFFFFFFFFULL * m); + r &= (d[4] <= 0x0FFFFFFFFFFFFULL * m); + r &= (a->magnitude >= 0); + r &= (a->magnitude <= 2048); + if (a->normalized) { + r &= (a->magnitude <= 1); + if (r && (d[4] == 0x0FFFFFFFFFFFFULL) && ((d[3] & d[2] & d[1]) == 0xFFFFFFFFFFFFFULL)) { + r &= (d[0] < 0xFFFFEFFFFFC2FULL); + } + } + VERIFY_CHECK(r == 1); +} +#endif + +#if 0 +static void secp256k1_fe_normalize(secp256k1_fe *r) { + uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; + + /* Reduce t4 at the start so there will be at most a single carry from the first pass */ + uint64_t m; + uint64_t x = t4 >> 48; t4 &= 0x0FFFFFFFFFFFFULL; + + /* The first pass ensures the magnitude is 1, ... */ + t0 += x * 0x1000003D1ULL; + t1 += (t0 >> 52); t0 &= 0xFFFFFFFFFFFFFULL; + t2 += (t1 >> 52); t1 &= 0xFFFFFFFFFFFFFULL; m = t1; + t3 += (t2 >> 52); t2 &= 0xFFFFFFFFFFFFFULL; m &= t2; + t4 += (t3 >> 52); t3 &= 0xFFFFFFFFFFFFFULL; m &= t3; + + /* ... except for a possible carry at bit 48 of t4 (i.e. bit 256 of the field element) */ + VERIFY_CHECK(t4 >> 49 == 0); + + /* At most a single final reduction is needed; check if the value is >= the field characteristic */ + x = (t4 >> 48) | ((t4 == 0x0FFFFFFFFFFFFULL) & (m == 0xFFFFFFFFFFFFFULL) + & (t0 >= 0xFFFFEFFFFFC2FULL)); + + /* Apply the final reduction (for constant-time behaviour, we do it always) */ + t0 += x * 0x1000003D1ULL; + t1 += (t0 >> 52); t0 &= 0xFFFFFFFFFFFFFULL; + t2 += (t1 >> 52); t1 &= 0xFFFFFFFFFFFFFULL; + t3 += (t2 >> 52); t2 &= 0xFFFFFFFFFFFFFULL; + t4 += (t3 >> 52); t3 &= 0xFFFFFFFFFFFFFULL; + + /* If t4 didn't carry to bit 48 already, then it should have after any final reduction */ + VERIFY_CHECK(t4 >> 48 == x); + + /* Mask off the possible multiple of 2^256 from the final reduction */ + t4 &= 0x0FFFFFFFFFFFFULL; + + r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; + +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 1; + secp256k1_fe_verify(r); +#endif +} +#endif + +static void secp256k1_fe_normalize_weak(secp256k1_fe *r) { + uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; + + /* Reduce t4 at the start so there will be at most a single carry from the first pass */ + uint64_t x = t4 >> 48; t4 &= 0x0FFFFFFFFFFFFULL; + + /* The first pass ensures the magnitude is 1, ... */ + t0 += x * 0x1000003D1ULL; + t1 += (t0 >> 52); t0 &= 0xFFFFFFFFFFFFFULL; + t2 += (t1 >> 52); t1 &= 0xFFFFFFFFFFFFFULL; + t3 += (t2 >> 52); t2 &= 0xFFFFFFFFFFFFFULL; + t4 += (t3 >> 52); t3 &= 0xFFFFFFFFFFFFFULL; + + /* ... except for a possible carry at bit 48 of t4 (i.e. bit 256 of the field element) */ + VERIFY_CHECK(t4 >> 49 == 0); + + r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; + +#ifdef VERIFY + r->magnitude = 1; + secp256k1_fe_verify(r); +#endif +} + +static void secp256k1_fe_normalize_var(secp256k1_fe *r) { + uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; + + /* Reduce t4 at the start so there will be at most a single carry from the first pass */ + uint64_t m; + uint64_t x = t4 >> 48; t4 &= 0x0FFFFFFFFFFFFULL; + + /* The first pass ensures the magnitude is 1, ... */ + t0 += x * 0x1000003D1ULL; + t1 += (t0 >> 52); t0 &= 0xFFFFFFFFFFFFFULL; + t2 += (t1 >> 52); t1 &= 0xFFFFFFFFFFFFFULL; m = t1; + t3 += (t2 >> 52); t2 &= 0xFFFFFFFFFFFFFULL; m &= t2; + t4 += (t3 >> 52); t3 &= 0xFFFFFFFFFFFFFULL; m &= t3; + + /* ... except for a possible carry at bit 48 of t4 (i.e. bit 256 of the field element) */ + VERIFY_CHECK(t4 >> 49 == 0); + + /* At most a single final reduction is needed; check if the value is >= the field characteristic */ + x = (t4 >> 48) | ((t4 == 0x0FFFFFFFFFFFFULL) & (m == 0xFFFFFFFFFFFFFULL) + & (t0 >= 0xFFFFEFFFFFC2FULL)); + + if (x) { + t0 += 0x1000003D1ULL; + t1 += (t0 >> 52); t0 &= 0xFFFFFFFFFFFFFULL; + t2 += (t1 >> 52); t1 &= 0xFFFFFFFFFFFFFULL; + t3 += (t2 >> 52); t2 &= 0xFFFFFFFFFFFFFULL; + t4 += (t3 >> 52); t3 &= 0xFFFFFFFFFFFFFULL; + + /* If t4 didn't carry to bit 48 already, then it should have after any final reduction */ + VERIFY_CHECK(t4 >> 48 == x); + + /* Mask off the possible multiple of 2^256 from the final reduction */ + t4 &= 0x0FFFFFFFFFFFFULL; + } + + r->n[0] = t0; r->n[1] = t1; r->n[2] = t2; r->n[3] = t3; r->n[4] = t4; + +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 1; + secp256k1_fe_verify(r); +#endif +} + +static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) { + uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4]; + + /* z0 tracks a possible raw value of 0, z1 tracks a possible raw value of P */ + uint64_t z0, z1; + + /* Reduce t4 at the start so there will be at most a single carry from the first pass */ + uint64_t x = t4 >> 48; t4 &= 0x0FFFFFFFFFFFFULL; + + /* The first pass ensures the magnitude is 1, ... */ + t0 += x * 0x1000003D1ULL; + t1 += (t0 >> 52); t0 &= 0xFFFFFFFFFFFFFULL; z0 = t0; z1 = t0 ^ 0x1000003D0ULL; + t2 += (t1 >> 52); t1 &= 0xFFFFFFFFFFFFFULL; z0 |= t1; z1 &= t1; + t3 += (t2 >> 52); t2 &= 0xFFFFFFFFFFFFFULL; z0 |= t2; z1 &= t2; + t4 += (t3 >> 52); t3 &= 0xFFFFFFFFFFFFFULL; z0 |= t3; z1 &= t3; + z0 |= t4; z1 &= t4 ^ 0xF000000000000ULL; + + /* ... except for a possible carry at bit 48 of t4 (i.e. bit 256 of the field element) */ + VERIFY_CHECK(t4 >> 49 == 0); + + return (z0 == 0) | (z1 == 0xFFFFFFFFFFFFFULL); +} + +static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) { + uint64_t t0, t1, t2, t3, t4; + uint64_t z0, z1; + uint64_t x; + + t0 = r->n[0]; + t4 = r->n[4]; + + /* Reduce t4 at the start so there will be at most a single carry from the first pass */ + x = t4 >> 48; + + /* The first pass ensures the magnitude is 1, ... */ + t0 += x * 0x1000003D1ULL; + + /* z0 tracks a possible raw value of 0, z1 tracks a possible raw value of P */ + z0 = t0 & 0xFFFFFFFFFFFFFULL; + z1 = z0 ^ 0x1000003D0ULL; + + /* Fast return path should catch the majority of cases */ + if ((z0 != 0ULL) & (z1 != 0xFFFFFFFFFFFFFULL)) { + return 0; + } + + t1 = r->n[1]; + t2 = r->n[2]; + t3 = r->n[3]; + + t4 &= 0x0FFFFFFFFFFFFULL; + + t1 += (t0 >> 52); + t2 += (t1 >> 52); t1 &= 0xFFFFFFFFFFFFFULL; z0 |= t1; z1 &= t1; + t3 += (t2 >> 52); t2 &= 0xFFFFFFFFFFFFFULL; z0 |= t2; z1 &= t2; + t4 += (t3 >> 52); t3 &= 0xFFFFFFFFFFFFFULL; z0 |= t3; z1 &= t3; + z0 |= t4; z1 &= t4 ^ 0xF000000000000ULL; + + /* ... except for a possible carry at bit 48 of t4 (i.e. bit 256 of the field element) */ + VERIFY_CHECK(t4 >> 49 == 0); + + return (z0 == 0) | (z1 == 0xFFFFFFFFFFFFFULL); +} + +SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) { + r->n[0] = a; + r->n[1] = r->n[2] = r->n[3] = r->n[4] = 0; +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 1; + secp256k1_fe_verify(r); +#endif +} + +SECP256K1_INLINE static int secp256k1_fe_is_zero(const secp256k1_fe *a) { + const uint64_t *t = a->n; +#ifdef VERIFY + VERIFY_CHECK(a->normalized); + secp256k1_fe_verify(a); +#endif + return (t[0] | t[1] | t[2] | t[3] | t[4]) == 0; +} + +SECP256K1_INLINE static int secp256k1_fe_is_odd(const secp256k1_fe *a) { +#ifdef VERIFY + VERIFY_CHECK(a->normalized); + secp256k1_fe_verify(a); +#endif + return a->n[0] & 1; +} + +SECP256K1_INLINE static void secp256k1_fe_clear(secp256k1_fe *a) { + int i; +#ifdef VERIFY + a->magnitude = 0; + a->normalized = 1; +#endif + for (i=0; i<5; i++) { + a->n[i] = 0; + } +} + +#if 0 +static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) { + int i; +#ifdef VERIFY + VERIFY_CHECK(a->normalized); + VERIFY_CHECK(b->normalized); + secp256k1_fe_verify(a); + secp256k1_fe_verify(b); +#endif + for (i = 4; i >= 0; i--) { + if (a->n[i] > b->n[i]) { + return 1; + } + if (a->n[i] < b->n[i]) { + return -1; + } + } + return 0; +} +#endif + +static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) { + int ret; + r->n[0] = (uint64_t)a[31] + | ((uint64_t)a[30] << 8) + | ((uint64_t)a[29] << 16) + | ((uint64_t)a[28] << 24) + | ((uint64_t)a[27] << 32) + | ((uint64_t)a[26] << 40) + | ((uint64_t)(a[25] & 0xF) << 48); + r->n[1] = (uint64_t)((a[25] >> 4) & 0xF) + | ((uint64_t)a[24] << 4) + | ((uint64_t)a[23] << 12) + | ((uint64_t)a[22] << 20) + | ((uint64_t)a[21] << 28) + | ((uint64_t)a[20] << 36) + | ((uint64_t)a[19] << 44); + r->n[2] = (uint64_t)a[18] + | ((uint64_t)a[17] << 8) + | ((uint64_t)a[16] << 16) + | ((uint64_t)a[15] << 24) + | ((uint64_t)a[14] << 32) + | ((uint64_t)a[13] << 40) + | ((uint64_t)(a[12] & 0xF) << 48); + r->n[3] = (uint64_t)((a[12] >> 4) & 0xF) + | ((uint64_t)a[11] << 4) + | ((uint64_t)a[10] << 12) + | ((uint64_t)a[9] << 20) + | ((uint64_t)a[8] << 28) + | ((uint64_t)a[7] << 36) + | ((uint64_t)a[6] << 44); + r->n[4] = (uint64_t)a[5] + | ((uint64_t)a[4] << 8) + | ((uint64_t)a[3] << 16) + | ((uint64_t)a[2] << 24) + | ((uint64_t)a[1] << 32) + | ((uint64_t)a[0] << 40); + ret = !((r->n[4] == 0x0FFFFFFFFFFFFULL) & ((r->n[3] & r->n[2] & r->n[1]) == 0xFFFFFFFFFFFFFULL) & (r->n[0] >= 0xFFFFEFFFFFC2FULL)); +#ifdef VERIFY + r->magnitude = 1; + if (ret) { + r->normalized = 1; + secp256k1_fe_verify(r); + } else { + r->normalized = 0; + } +#endif + return ret; +} + +/** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */ +static void secp256k1_fe_get_b32(unsigned char *r, const secp256k1_fe *a) { +#ifdef VERIFY + VERIFY_CHECK(a->normalized); + secp256k1_fe_verify(a); +#endif + r[0] = (a->n[4] >> 40) & 0xFF; + r[1] = (a->n[4] >> 32) & 0xFF; + r[2] = (a->n[4] >> 24) & 0xFF; + r[3] = (a->n[4] >> 16) & 0xFF; + r[4] = (a->n[4] >> 8) & 0xFF; + r[5] = a->n[4] & 0xFF; + r[6] = (a->n[3] >> 44) & 0xFF; + r[7] = (a->n[3] >> 36) & 0xFF; + r[8] = (a->n[3] >> 28) & 0xFF; + r[9] = (a->n[3] >> 20) & 0xFF; + r[10] = (a->n[3] >> 12) & 0xFF; + r[11] = (a->n[3] >> 4) & 0xFF; + r[12] = ((a->n[2] >> 48) & 0xF) | ((a->n[3] & 0xF) << 4); + r[13] = (a->n[2] >> 40) & 0xFF; + r[14] = (a->n[2] >> 32) & 0xFF; + r[15] = (a->n[2] >> 24) & 0xFF; + r[16] = (a->n[2] >> 16) & 0xFF; + r[17] = (a->n[2] >> 8) & 0xFF; + r[18] = a->n[2] & 0xFF; + r[19] = (a->n[1] >> 44) & 0xFF; + r[20] = (a->n[1] >> 36) & 0xFF; + r[21] = (a->n[1] >> 28) & 0xFF; + r[22] = (a->n[1] >> 20) & 0xFF; + r[23] = (a->n[1] >> 12) & 0xFF; + r[24] = (a->n[1] >> 4) & 0xFF; + r[25] = ((a->n[0] >> 48) & 0xF) | ((a->n[1] & 0xF) << 4); + r[26] = (a->n[0] >> 40) & 0xFF; + r[27] = (a->n[0] >> 32) & 0xFF; + r[28] = (a->n[0] >> 24) & 0xFF; + r[29] = (a->n[0] >> 16) & 0xFF; + r[30] = (a->n[0] >> 8) & 0xFF; + r[31] = a->n[0] & 0xFF; +} + +SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k1_fe *a, int m) { +#ifdef VERIFY + VERIFY_CHECK(a->magnitude <= m); + secp256k1_fe_verify(a); +#endif + r->n[0] = 0xFFFFEFFFFFC2FULL * 2 * (m + 1) - a->n[0]; + r->n[1] = 0xFFFFFFFFFFFFFULL * 2 * (m + 1) - a->n[1]; + r->n[2] = 0xFFFFFFFFFFFFFULL * 2 * (m + 1) - a->n[2]; + r->n[3] = 0xFFFFFFFFFFFFFULL * 2 * (m + 1) - a->n[3]; + r->n[4] = 0x0FFFFFFFFFFFFULL * 2 * (m + 1) - a->n[4]; +#ifdef VERIFY + r->magnitude = m + 1; + r->normalized = 0; + secp256k1_fe_verify(r); +#endif +} + +SECP256K1_INLINE static void secp256k1_fe_mul_int(secp256k1_fe *r, int a) { + r->n[0] *= a; + r->n[1] *= a; + r->n[2] *= a; + r->n[3] *= a; + r->n[4] *= a; +#ifdef VERIFY + r->magnitude *= a; + r->normalized = 0; + secp256k1_fe_verify(r); +#endif +} + +SECP256K1_INLINE static void secp256k1_fe_add(secp256k1_fe *r, const secp256k1_fe *a) { +#ifdef VERIFY + secp256k1_fe_verify(a); +#endif + r->n[0] += a->n[0]; + r->n[1] += a->n[1]; + r->n[2] += a->n[2]; + r->n[3] += a->n[3]; + r->n[4] += a->n[4]; +#ifdef VERIFY + r->magnitude += a->magnitude; + r->normalized = 0; + secp256k1_fe_verify(r); +#endif +} + +static void secp256k1_fe_mul(secp256k1_fe *r, const secp256k1_fe *a, const secp256k1_fe * SECP256K1_RESTRICT b) { +#ifdef VERIFY + VERIFY_CHECK(a->magnitude <= 8); + VERIFY_CHECK(b->magnitude <= 8); + secp256k1_fe_verify(a); + secp256k1_fe_verify(b); + VERIFY_CHECK(r != b); + VERIFY_CHECK(a != b); +#endif + secp256k1_fe_mul_inner(r->n, a->n, b->n); +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 0; + secp256k1_fe_verify(r); +#endif +} + +static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) { +#ifdef VERIFY + VERIFY_CHECK(a->magnitude <= 8); + secp256k1_fe_verify(a); +#endif + secp256k1_fe_sqr_inner(r->n, a->n); +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 0; + secp256k1_fe_verify(r); +#endif +} + +static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) { + uint64_t mask0, mask1; + VG_CHECK_VERIFY(r->n, sizeof(r->n)); + mask0 = flag + ~((uint64_t)0); + mask1 = ~mask0; + r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); + r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); + r->n[2] = (r->n[2] & mask0) | (a->n[2] & mask1); + r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1); + r->n[4] = (r->n[4] & mask0) | (a->n[4] & mask1); +#ifdef VERIFY + if (flag) { + r->magnitude = a->magnitude; + r->normalized = a->normalized; + } +#endif +} + +static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) { + uint64_t mask0, mask1; + VG_CHECK_VERIFY(r->n, sizeof(r->n)); + mask0 = flag + ~((uint64_t)0); + mask1 = ~mask0; + r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1); + r->n[1] = (r->n[1] & mask0) | (a->n[1] & mask1); + r->n[2] = (r->n[2] & mask0) | (a->n[2] & mask1); + r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1); +} + +static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a) { +#ifdef VERIFY + VERIFY_CHECK(a->normalized); +#endif + r->n[0] = a->n[0] | a->n[1] << 52; + r->n[1] = a->n[1] >> 12 | a->n[2] << 40; + r->n[2] = a->n[2] >> 24 | a->n[3] << 28; + r->n[3] = a->n[3] >> 36 | a->n[4] << 16; +} + +static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a) { + r->n[0] = a->n[0] & 0xFFFFFFFFFFFFFULL; + r->n[1] = a->n[0] >> 52 | ((a->n[1] << 12) & 0xFFFFFFFFFFFFFULL); + r->n[2] = a->n[1] >> 40 | ((a->n[2] << 24) & 0xFFFFFFFFFFFFFULL); + r->n[3] = a->n[2] >> 28 | ((a->n[3] << 36) & 0xFFFFFFFFFFFFFULL); + r->n[4] = a->n[3] >> 16; +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 1; +#endif +} + +static void secp256k1_fe_from_signed62(secp256k1_fe *r, const secp256k1_modinv64_signed62 *a) { + const uint64_t M52 = UINT64_MAX >> 12; + const uint64_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4]; + + /* The output from secp256k1_modinv64{_var} should be normalized to range [0,modulus), and + * have limbs in [0,2^62). The modulus is < 2^256, so the top limb must be below 2^(256-62*4). + */ + VERIFY_CHECK(a0 >> 62 == 0); + VERIFY_CHECK(a1 >> 62 == 0); + VERIFY_CHECK(a2 >> 62 == 0); + VERIFY_CHECK(a3 >> 62 == 0); + VERIFY_CHECK(a4 >> 8 == 0); + + r->n[0] = a0 & M52; + r->n[1] = (a0 >> 52 | a1 << 10) & M52; + r->n[2] = (a1 >> 42 | a2 << 20) & M52; + r->n[3] = (a2 >> 32 | a3 << 30) & M52; + r->n[4] = (a3 >> 22 | a4 << 40); + +#ifdef VERIFY + r->magnitude = 1; + r->normalized = 1; + secp256k1_fe_verify(r); +#endif +} + +static void secp256k1_fe_to_signed62(secp256k1_modinv64_signed62 *r, const secp256k1_fe *a) { + const uint64_t M62 = UINT64_MAX >> 2; + const uint64_t a0 = a->n[0], a1 = a->n[1], a2 = a->n[2], a3 = a->n[3], a4 = a->n[4]; + +#ifdef VERIFY + VERIFY_CHECK(a->normalized); +#endif + + r->v[0] = (a0 | a1 << 52) & M62; + r->v[1] = (a1 >> 10 | a2 << 42) & M62; + r->v[2] = (a2 >> 20 | a3 << 32) & M62; + r->v[3] = (a3 >> 30 | a4 << 22) & M62; + r->v[4] = a4 >> 40; +} + +static const secp256k1_modinv64_modinfo secp256k1_const_modinfo_fe = { + {{-0x1000003D1LL, 0, 0, 0, 256}}, + 0x27C7F6E22DDACACFLL +}; + +static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) { + secp256k1_fe tmp; + secp256k1_modinv64_signed62 s; + + tmp = *x; + secp256k1_fe_normalize_var(&tmp); + secp256k1_fe_to_signed62(&s, &tmp); + secp256k1_modinv64_var(&s, &secp256k1_const_modinfo_fe); + secp256k1_fe_from_signed62(r, &s); + +#ifdef VERIFY + VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp)); +#endif +} + +#endif /* SECP256K1_FIELD_REPR_IMPL_H */ diff --git a/secp256k1/field_5x52_int128_impl.h b/secp256k1/field_5x52_int128_impl.h new file mode 100644 index 00000000000..314002ee395 --- /dev/null +++ b/secp256k1/field_5x52_int128_impl.h @@ -0,0 +1,279 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_FIELD_INNER5X52_IMPL_H +#define SECP256K1_FIELD_INNER5X52_IMPL_H + +#include + +#ifdef VERIFY +#define VERIFY_BITS(x, n) VERIFY_CHECK(((x) >> (n)) == 0) +#else +#define VERIFY_BITS(x, n) do { } while(0) +#endif + +SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t *a, const uint64_t * SECP256K1_RESTRICT b) { + uint128_t c, d; + uint64_t t3, t4, tx, u0; + uint64_t a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4]; + const uint64_t M = 0xFFFFFFFFFFFFFULL, R = 0x1000003D10ULL; + + VERIFY_BITS(a[0], 56); + VERIFY_BITS(a[1], 56); + VERIFY_BITS(a[2], 56); + VERIFY_BITS(a[3], 56); + VERIFY_BITS(a[4], 52); + VERIFY_BITS(b[0], 56); + VERIFY_BITS(b[1], 56); + VERIFY_BITS(b[2], 56); + VERIFY_BITS(b[3], 56); + VERIFY_BITS(b[4], 52); + VERIFY_CHECK(r != b); + VERIFY_CHECK(a != b); + + /* [... a b c] is a shorthand for ... + a<<104 + b<<52 + c<<0 mod n. + * for 0 <= x <= 4, px is a shorthand for sum(a[i]*b[x-i], i=0..x). + * for 4 <= x <= 8, px is a shorthand for sum(a[i]*b[x-i], i=(x-4)..4) + * Note that [x 0 0 0 0 0] = [x*R]. + */ + + d = (uint128_t)a0 * b[3] + + (uint128_t)a1 * b[2] + + (uint128_t)a2 * b[1] + + (uint128_t)a3 * b[0]; + VERIFY_BITS(d, 114); + /* [d 0 0 0] = [p3 0 0 0] */ + c = (uint128_t)a4 * b[4]; + VERIFY_BITS(c, 112); + /* [c 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ + d += (c & M) * R; c >>= 52; + VERIFY_BITS(d, 115); + VERIFY_BITS(c, 60); + /* [c 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ + t3 = d & M; d >>= 52; + VERIFY_BITS(t3, 52); + VERIFY_BITS(d, 63); + /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ + + d += (uint128_t)a0 * b[4] + + (uint128_t)a1 * b[3] + + (uint128_t)a2 * b[2] + + (uint128_t)a3 * b[1] + + (uint128_t)a4 * b[0]; + VERIFY_BITS(d, 115); + /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ + d += c * R; + VERIFY_BITS(d, 116); + /* [d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ + t4 = d & M; d >>= 52; + VERIFY_BITS(t4, 52); + VERIFY_BITS(d, 64); + /* [d t4 t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ + tx = (t4 >> 48); t4 &= (M >> 4); + VERIFY_BITS(tx, 4); + VERIFY_BITS(t4, 48); + /* [d t4+(tx<<48) t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ + + c = (uint128_t)a0 * b[0]; + VERIFY_BITS(c, 112); + /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 0 p4 p3 0 0 p0] */ + d += (uint128_t)a1 * b[4] + + (uint128_t)a2 * b[3] + + (uint128_t)a3 * b[2] + + (uint128_t)a4 * b[1]; + VERIFY_BITS(d, 115); + /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ + u0 = d & M; d >>= 52; + VERIFY_BITS(u0, 52); + VERIFY_BITS(d, 63); + /* [d u0 t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ + /* [d 0 t4+(tx<<48)+(u0<<52) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ + u0 = (u0 << 4) | tx; + VERIFY_BITS(u0, 56); + /* [d 0 t4+(u0<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ + c += (uint128_t)u0 * (R >> 4); + VERIFY_BITS(c, 115); + /* [d 0 t4 t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ + r[0] = c & M; c >>= 52; + VERIFY_BITS(r[0], 52); + VERIFY_BITS(c, 61); + /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 0 p0] */ + + c += (uint128_t)a0 * b[1] + + (uint128_t)a1 * b[0]; + VERIFY_BITS(c, 114); + /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 p1 p0] */ + d += (uint128_t)a2 * b[4] + + (uint128_t)a3 * b[3] + + (uint128_t)a4 * b[2]; + VERIFY_BITS(d, 114); + /* [d 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ + c += (d & M) * R; d >>= 52; + VERIFY_BITS(c, 115); + VERIFY_BITS(d, 62); + /* [d 0 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ + r[1] = c & M; c >>= 52; + VERIFY_BITS(r[1], 52); + VERIFY_BITS(c, 63); + /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ + + c += (uint128_t)a0 * b[2] + + (uint128_t)a1 * b[1] + + (uint128_t)a2 * b[0]; + VERIFY_BITS(c, 114); + /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 p2 p1 p0] */ + d += (uint128_t)a3 * b[4] + + (uint128_t)a4 * b[3]; + VERIFY_BITS(d, 114); + /* [d 0 0 t4 t3 c t1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + c += (d & M) * R; d >>= 52; + VERIFY_BITS(c, 115); + VERIFY_BITS(d, 62); + /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + + /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[2] = c & M; c >>= 52; + VERIFY_BITS(r[2], 52); + VERIFY_BITS(c, 63); + /* [d 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + c += d * R + t3; + VERIFY_BITS(c, 100); + /* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[3] = c & M; c >>= 52; + VERIFY_BITS(r[3], 52); + VERIFY_BITS(c, 48); + /* [t4+c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + c += t4; + VERIFY_BITS(c, 49); + /* [c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[4] = c; + VERIFY_BITS(r[4], 49); + /* [r4 r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ +} + +SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t *a) { + uint128_t c, d; + uint64_t a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4]; + int64_t t3, t4, tx, u0; + const uint64_t M = 0xFFFFFFFFFFFFFULL, R = 0x1000003D10ULL; + + VERIFY_BITS(a[0], 56); + VERIFY_BITS(a[1], 56); + VERIFY_BITS(a[2], 56); + VERIFY_BITS(a[3], 56); + VERIFY_BITS(a[4], 52); + + /** [... a b c] is a shorthand for ... + a<<104 + b<<52 + c<<0 mod n. + * px is a shorthand for sum(a[i]*a[x-i], i=0..x). + * Note that [x 0 0 0 0 0] = [x*R]. + */ + + d = (uint128_t)(a0*2) * a3 + + (uint128_t)(a1*2) * a2; + VERIFY_BITS(d, 114); + /* [d 0 0 0] = [p3 0 0 0] */ + c = (uint128_t)a4 * a4; + VERIFY_BITS(c, 112); + /* [c 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ + d += (c & M) * R; c >>= 52; + VERIFY_BITS(d, 115); + VERIFY_BITS(c, 60); + /* [c 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ + t3 = d & M; d >>= 52; + VERIFY_BITS(t3, 52); + VERIFY_BITS(d, 63); + /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */ + + a4 *= 2; + d += (uint128_t)a0 * a4 + + (uint128_t)(a1*2) * a3 + + (uint128_t)a2 * a2; + VERIFY_BITS(d, 115); + /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ + d += c * R; + VERIFY_BITS(d, 116); + /* [d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ + t4 = d & M; d >>= 52; + VERIFY_BITS(t4, 52); + VERIFY_BITS(d, 64); + /* [d t4 t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ + tx = (t4 >> 48); t4 &= (M >> 4); + VERIFY_BITS(tx, 4); + VERIFY_BITS(t4, 48); + /* [d t4+(tx<<48) t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */ + + c = (uint128_t)a0 * a0; + VERIFY_BITS(c, 112); + /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 0 p4 p3 0 0 p0] */ + d += (uint128_t)a1 * a4 + + (uint128_t)(a2*2) * a3; + VERIFY_BITS(d, 114); + /* [d t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ + u0 = d & M; d >>= 52; + VERIFY_BITS(u0, 52); + VERIFY_BITS(d, 62); + /* [d u0 t4+(tx<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ + /* [d 0 t4+(tx<<48)+(u0<<52) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ + u0 = (u0 << 4) | tx; + VERIFY_BITS(u0, 56); + /* [d 0 t4+(u0<<48) t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ + c += (uint128_t)u0 * (R >> 4); + VERIFY_BITS(c, 113); + /* [d 0 t4 t3 0 0 c] = [p8 0 0 p5 p4 p3 0 0 p0] */ + r[0] = c & M; c >>= 52; + VERIFY_BITS(r[0], 52); + VERIFY_BITS(c, 61); + /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 0 p0] */ + + a0 *= 2; + c += (uint128_t)a0 * a1; + VERIFY_BITS(c, 114); + /* [d 0 t4 t3 0 c r0] = [p8 0 0 p5 p4 p3 0 p1 p0] */ + d += (uint128_t)a2 * a4 + + (uint128_t)a3 * a3; + VERIFY_BITS(d, 114); + /* [d 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ + c += (d & M) * R; d >>= 52; + VERIFY_BITS(c, 115); + VERIFY_BITS(d, 62); + /* [d 0 0 t4 t3 0 c r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ + r[1] = c & M; c >>= 52; + VERIFY_BITS(r[1], 52); + VERIFY_BITS(c, 63); + /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 0 p1 p0] */ + + c += (uint128_t)a0 * a2 + + (uint128_t)a1 * a1; + VERIFY_BITS(c, 114); + /* [d 0 0 t4 t3 c r1 r0] = [p8 0 p6 p5 p4 p3 p2 p1 p0] */ + d += (uint128_t)a3 * a4; + VERIFY_BITS(d, 114); + /* [d 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + c += (d & M) * R; d >>= 52; + VERIFY_BITS(c, 115); + VERIFY_BITS(d, 62); + /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[2] = c & M; c >>= 52; + VERIFY_BITS(r[2], 52); + VERIFY_BITS(c, 63); + /* [d 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + + c += d * R + t3; + VERIFY_BITS(c, 100); + /* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[3] = c & M; c >>= 52; + VERIFY_BITS(r[3], 52); + VERIFY_BITS(c, 48); + /* [t4+c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + c += t4; + VERIFY_BITS(c, 49); + /* [c r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ + r[4] = c; + VERIFY_BITS(r[4], 49); + /* [r4 r3 r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */ +} + +#endif /* SECP256K1_FIELD_INNER5X52_IMPL_H */ diff --git a/secp256k1/field_impl.h b/secp256k1/field_impl.h new file mode 100644 index 00000000000..e0f8633adcd --- /dev/null +++ b/secp256k1/field_impl.h @@ -0,0 +1,136 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_FIELD_IMPL_H +#define SECP256K1_FIELD_IMPL_H + +#include "util.h" + +#if defined(SECP256K1_WIDEMUL_INT128) +#include "field_5x52_impl.h" +#elif defined(SECP256K1_WIDEMUL_INT64) +#include "field_10x26_impl.h" +#else +#error "Please select wide multiplication implementation" +#endif + +SECP256K1_INLINE static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) { + secp256k1_fe na; + secp256k1_fe_negate(&na, a, 1); + secp256k1_fe_add(&na, b); + return secp256k1_fe_normalizes_to_zero(&na); +} + +SECP256K1_INLINE static int secp256k1_fe_equal_var(const secp256k1_fe *a, const secp256k1_fe *b) { + secp256k1_fe na; + secp256k1_fe_negate(&na, a, 1); + secp256k1_fe_add(&na, b); + return secp256k1_fe_normalizes_to_zero_var(&na); +} + +static int secp256k1_fe_sqrt_var(secp256k1_fe *r, const secp256k1_fe *a) { + /** Given that p is congruent to 3 mod 4, we can compute the square root of + * a mod p as the (p+1)/4'th power of a. + * + * As (p+1)/4 is an even number, it will have the same result for a and for + * (-a). Only one of these two numbers actually has a square root however, + * so we test at the end by squaring and comparing to the input. + * Also because (p+1)/4 is an even number, the computed square root is + * itself always a square (a ** ((p+1)/4) is the square of a ** ((p+1)/8)). + */ + secp256k1_fe x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1; + int j; + + VERIFY_CHECK(r != a); + + /** The binary representation of (p + 1)/4 has 3 blocks of 1s, with lengths in + * { 2, 22, 223 }. Use an addition chain to calculate 2^n - 1 for each block: + * 1, [2], 3, 6, 9, 11, [22], 44, 88, 176, 220, [223] + */ + + secp256k1_fe_sqr(&x2, a); + secp256k1_fe_mul(&x2, &x2, a); + + secp256k1_fe_sqr(&x3, &x2); + secp256k1_fe_mul(&x3, &x3, a); + + x6 = x3; + for (j=0; j<3; j++) { + secp256k1_fe_sqr(&x6, &x6); + } + secp256k1_fe_mul(&x6, &x6, &x3); + + x9 = x6; + for (j=0; j<3; j++) { + secp256k1_fe_sqr(&x9, &x9); + } + secp256k1_fe_mul(&x9, &x9, &x3); + + x11 = x9; + for (j=0; j<2; j++) { + secp256k1_fe_sqr(&x11, &x11); + } + secp256k1_fe_mul(&x11, &x11, &x2); + + x22 = x11; + for (j=0; j<11; j++) { + secp256k1_fe_sqr(&x22, &x22); + } + secp256k1_fe_mul(&x22, &x22, &x11); + + x44 = x22; + for (j=0; j<22; j++) { + secp256k1_fe_sqr(&x44, &x44); + } + secp256k1_fe_mul(&x44, &x44, &x22); + + x88 = x44; + for (j=0; j<44; j++) { + secp256k1_fe_sqr(&x88, &x88); + } + secp256k1_fe_mul(&x88, &x88, &x44); + + x176 = x88; + for (j=0; j<88; j++) { + secp256k1_fe_sqr(&x176, &x176); + } + secp256k1_fe_mul(&x176, &x176, &x88); + + x220 = x176; + for (j=0; j<44; j++) { + secp256k1_fe_sqr(&x220, &x220); + } + secp256k1_fe_mul(&x220, &x220, &x44); + + x223 = x220; + for (j=0; j<3; j++) { + secp256k1_fe_sqr(&x223, &x223); + } + secp256k1_fe_mul(&x223, &x223, &x3); + + /* The final result is then assembled using a sliding window over the blocks. */ + + t1 = x223; + for (j=0; j<23; j++) { + secp256k1_fe_sqr(&t1, &t1); + } + secp256k1_fe_mul(&t1, &t1, &x22); + for (j=0; j<6; j++) { + secp256k1_fe_sqr(&t1, &t1); + } + secp256k1_fe_mul(&t1, &t1, &x2); + secp256k1_fe_sqr(&t1, &t1); + secp256k1_fe_sqr(r, &t1); + + /* Check that a square root was actually calculated */ + + secp256k1_fe_sqr(&t1, r); + return secp256k1_fe_equal_var(&t1, a); +} + +static const secp256k1_fe secp256k1_fe_one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); + +#endif /* SECP256K1_FIELD_IMPL_H */ diff --git a/secp256k1/group.h b/secp256k1/group.h new file mode 100644 index 00000000000..e7f69c7cef5 --- /dev/null +++ b/secp256k1/group.h @@ -0,0 +1,147 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_GROUP_H +#define SECP256K1_GROUP_H + +#include "field.h" + +/** A group element of the secp256k1 curve, in affine coordinates. */ +typedef struct { + secp256k1_fe x; + secp256k1_fe y; + int infinity; /* whether this represents the point at infinity */ +} secp256k1_ge; + +#define SECP256K1_GE_CONST(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) {SECP256K1_FE_CONST((a),(b),(c),(d),(e),(f),(g),(h)), SECP256K1_FE_CONST((i),(j),(k),(l),(m),(n),(o),(p)), 0} +#define SECP256K1_GE_CONST_INFINITY {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), 1} + +/** A group element of the secp256k1 curve, in jacobian coordinates. */ +typedef struct { + secp256k1_fe x; /* actual X: x/z^2 */ + secp256k1_fe y; /* actual Y: y/z^3 */ + secp256k1_fe z; + int infinity; /* whether this represents the point at infinity */ +} secp256k1_gej; + +#define SECP256K1_GEJ_CONST(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) {SECP256K1_FE_CONST((a),(b),(c),(d),(e),(f),(g),(h)), SECP256K1_FE_CONST((i),(j),(k),(l),(m),(n),(o),(p)), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1), 0} +#define SECP256K1_GEJ_CONST_INFINITY {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), 1} + +typedef struct { + secp256k1_fe_storage x; + secp256k1_fe_storage y; +} secp256k1_ge_storage; + +#define SECP256K1_GE_STORAGE_CONST(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) {SECP256K1_FE_STORAGE_CONST((a),(b),(c),(d),(e),(f),(g),(h)), SECP256K1_FE_STORAGE_CONST((i),(j),(k),(l),(m),(n),(o),(p))} + +#define SECP256K1_GE_STORAGE_CONST_GET(t) SECP256K1_FE_STORAGE_CONST_GET(t.x), SECP256K1_FE_STORAGE_CONST_GET(t.y) + +/** Set a group element equal to the point with given X and Y coordinates */ +static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y); + +/** Set a group element (affine) equal to the point with the given X coordinate, and given oddness + * for Y. Return value indicates whether the result is valid. */ +static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd); + +/** Check whether a group element is the point at infinity. */ +static int secp256k1_ge_is_infinity(const secp256k1_ge *a); + +/** Check whether a group element is valid (i.e., on the curve). */ +static int secp256k1_ge_is_valid_var(const secp256k1_ge *a); + +/** Set r equal to the inverse of a (i.e., mirrored around the X axis) */ +static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a); + +/** Set a group element equal to another which is given in jacobian coordinates. */ +static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a); + +#if 0 +/** Set a batch of group elements equal to the inputs given in jacobian coordinates */ +static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len); +#endif + +/** Bring a batch inputs given in jacobian coordinates (with known z-ratios) to + * the same global z "denominator". zr must contain the known z-ratios such + * that mul(a[i].z, zr[i+1]) == a[i+1].z. zr[0] is ignored. The x and y + * coordinates of the result are stored in r, the common z coordinate is + * stored in globalz. */ +static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp256k1_fe *globalz, const secp256k1_gej *a, const secp256k1_fe *zr); + +/** Set a group element (affine) equal to the point at infinity. */ +static void secp256k1_ge_set_infinity(secp256k1_ge *r); + +/** Set a group element (jacobian) equal to the point at infinity. */ +static void secp256k1_gej_set_infinity(secp256k1_gej *r); + +/** Set a group element (jacobian) equal to another which is given in affine coordinates. */ +static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a); + +/** Compare the X coordinate of a group element (jacobian). */ +static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a); + +/** Set r equal to the inverse of a (i.e., mirrored around the X axis) */ +static void secp256k1_gej_neg(secp256k1_gej *r, const secp256k1_gej *a); + +/** Check whether a group element is the point at infinity. */ +static int secp256k1_gej_is_infinity(const secp256k1_gej *a); + +/** Set r equal to the double of a. Constant time. */ +static void secp256k1_gej_double(secp256k1_gej *r, const secp256k1_gej *a); + +/** Set r equal to the double of a. If rzr is not-NULL this sets *rzr such that r->z == a->z * *rzr (where infinity means an implicit z = 0). */ +static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr); + +/** Set r equal to the sum of a and b. If rzr is non-NULL this sets *rzr such that r->z == a->z * *rzr (a cannot be infinity in that case). */ +static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_gej *b, secp256k1_fe *rzr); + +#if 0 +/** Set r equal to the sum of a and b (with b given in affine coordinates, and not infinity). */ +static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b); +#endif + +/** Set r equal to the sum of a and b (with b given in affine coordinates). This is more efficient + than secp256k1_gej_add_var. It is identical to secp256k1_gej_add_ge but without constant-time + guarantee, and b is allowed to be infinity. If rzr is non-NULL this sets *rzr such that r->z == a->z * *rzr (a cannot be infinity in that case). */ +static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, secp256k1_fe *rzr); + +/** Set r equal to the sum of a and b (with the inverse of b's Z coordinate passed as bzinv). */ +static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, const secp256k1_fe *bzinv); + +/** Set r to be equal to lambda times a, where lambda is chosen in a way such that this is very fast. */ +static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a); + +#if 0 +/** Clear a secp256k1_gej to prevent leaking sensitive information. */ +static void secp256k1_gej_clear(secp256k1_gej *r); + +/** Clear a secp256k1_ge to prevent leaking sensitive information. */ +static void secp256k1_ge_clear(secp256k1_ge *r); +#endif + +/** Convert a group element to the storage type. */ +static void secp256k1_ge_to_storage(secp256k1_ge_storage *r, const secp256k1_ge *a); + +/** Convert a group element back from the storage type. */ +static void secp256k1_ge_from_storage(secp256k1_ge *r, const secp256k1_ge_storage *a); + +/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. Both *r and *a must be initialized.*/ +static void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_ge_storage *a, int flag); + +/** Rescale a jacobian point by b which must be non-zero. Constant-time. */ +static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *b); + +/** Determine if a point (which is assumed to be on the curve) is in the correct (sub)group of the curve. + * + * In normal mode, the used group is secp256k1, which has cofactor=1 meaning that every point on the curve is in the + * group, and this function returns always true. + * + * When compiling in exhaustive test mode, a slightly different curve equation is used, leading to a group with a + * (very) small subgroup, and that subgroup is what is used for all cryptographic operations. In that mode, this + * function checks whether a point that is on the curve is in fact also in that subgroup. + */ +static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge); + +#endif /* SECP256K1_GROUP_H */ diff --git a/secp256k1/group_impl.h b/secp256k1/group_impl.h new file mode 100644 index 00000000000..90b21f7bada --- /dev/null +++ b/secp256k1/group_impl.h @@ -0,0 +1,641 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_GROUP_IMPL_H +#define SECP256K1_GROUP_IMPL_H + +#include "field.h" +#include "group.h" + +#define SECP256K1_G_ORDER_13 SECP256K1_GE_CONST(\ + 0xc3459c3d, 0x35326167, 0xcd86cce8, 0x07a2417f,\ + 0x5b8bd567, 0xde8538ee, 0x0d507b0c, 0xd128f5bb,\ + 0x8e467fec, 0xcd30000a, 0x6cc1184e, 0x25d382c2,\ + 0xa2f4494e, 0x2fbe9abc, 0x8b64abac, 0xd005fb24\ +) +#define SECP256K1_G_ORDER_199 SECP256K1_GE_CONST(\ + 0x226e653f, 0xc8df7744, 0x9bacbf12, 0x7d1dcbf9,\ + 0x87f05b2a, 0xe7edbd28, 0x1f564575, 0xc48dcf18,\ + 0xa13872c2, 0xe933bb17, 0x5d9ffd5b, 0xb5b6e10c,\ + 0x57fe3c00, 0xbaaaa15a, 0xe003ec3e, 0x9c269bae\ +) +/** Generator for secp256k1, value 'g' defined in + * "Standards for Efficient Cryptography" (SEC2) 2.7.1. + */ +#define SECP256K1_G SECP256K1_GE_CONST(\ + 0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL,\ + 0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL,\ + 0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL,\ + 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL\ +) +/* These exhaustive group test orders and generators are chosen such that: + * - The field size is equal to that of secp256k1, so field code is the same. + * - The curve equation is of the form y^2=x^3+B for some constant B. + * - The subgroup has a generator 2*P, where P.x=1. + * - The subgroup has size less than 1000 to permit exhaustive testing. + * - The subgroup admits an endomorphism of the form lambda*(x,y) == (beta*x,y). + * + * These parameters are generated using sage/gen_exhaustive_groups.sage. + */ +static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G; + +static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 7); + +static void secp256k1_ge_set_gej_zinv(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zi) { + secp256k1_fe zi2; + secp256k1_fe zi3; + secp256k1_fe_sqr(&zi2, zi); + secp256k1_fe_mul(&zi3, &zi2, zi); + secp256k1_fe_mul(&r->x, &a->x, &zi2); + secp256k1_fe_mul(&r->y, &a->y, &zi3); + r->infinity = a->infinity; +} + +static void secp256k1_ge_set_xy(secp256k1_ge *r, const secp256k1_fe *x, const secp256k1_fe *y) { + r->infinity = 0; + r->x = *x; + r->y = *y; +} + +static int secp256k1_ge_is_infinity(const secp256k1_ge *a) { + return a->infinity; +} + +static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a) { + *r = *a; + secp256k1_fe_normalize_weak(&r->y); + secp256k1_fe_negate(&r->y, &r->y, 1); +} + +static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) { + secp256k1_fe z2, z3; + if (a->infinity) { + secp256k1_ge_set_infinity(r); + return; + } + secp256k1_fe_inv_var(&a->z, &a->z); + secp256k1_fe_sqr(&z2, &a->z); + secp256k1_fe_mul(&z3, &a->z, &z2); + secp256k1_fe_mul(&a->x, &a->x, &z2); + secp256k1_fe_mul(&a->y, &a->y, &z3); + secp256k1_fe_set_int(&a->z, 1); + secp256k1_ge_set_xy(r, &a->x, &a->y); +} + +#if 0 +static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len) { + secp256k1_fe u; + size_t i; + size_t last_i = SIZE_MAX; + + for (i = 0; i < len; i++) { + if (a[i].infinity) { + secp256k1_ge_set_infinity(&r[i]); + } else { + /* Use destination's x coordinates as scratch space */ + if (last_i == SIZE_MAX) { + r[i].x = a[i].z; + } else { + secp256k1_fe_mul(&r[i].x, &r[last_i].x, &a[i].z); + } + last_i = i; + } + } + if (last_i == SIZE_MAX) { + return; + } + secp256k1_fe_inv_var(&u, &r[last_i].x); + + i = last_i; + while (i > 0) { + i--; + if (!a[i].infinity) { + secp256k1_fe_mul(&r[last_i].x, &r[i].x, &u); + secp256k1_fe_mul(&u, &u, &a[last_i].z); + last_i = i; + } + } + VERIFY_CHECK(!a[last_i].infinity); + r[last_i].x = u; + + for (i = 0; i < len; i++) { + if (!a[i].infinity) { + secp256k1_ge_set_gej_zinv(&r[i], &a[i], &r[i].x); + } + } +} +#endif + +static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp256k1_fe *globalz, const secp256k1_gej *a, const secp256k1_fe *zr) { + size_t i = len - 1; + secp256k1_fe zs; + + if (len > 0) { + /* The z of the final point gives us the "global Z" for the table. */ + r[i].x = a[i].x; + r[i].y = a[i].y; + /* Ensure all y values are in weak normal form for fast negation of points */ + secp256k1_fe_normalize_weak(&r[i].y); + *globalz = a[i].z; + r[i].infinity = 0; + zs = zr[i]; + + /* Work our way backwards, using the z-ratios to scale the x/y values. */ + while (i > 0) { + if (i != len - 1) { + secp256k1_fe_mul(&zs, &zs, &zr[i]); + } + i--; + secp256k1_ge_set_gej_zinv(&r[i], &a[i], &zs); + r[i].infinity = 0; + } + } +} + +static void secp256k1_gej_set_infinity(secp256k1_gej *r) { + r->infinity = 1; + secp256k1_fe_clear(&r->x); + secp256k1_fe_clear(&r->y); + secp256k1_fe_clear(&r->z); +} + +static void secp256k1_ge_set_infinity(secp256k1_ge *r) { + r->infinity = 1; + secp256k1_fe_clear(&r->x); + secp256k1_fe_clear(&r->y); +} + +#if 0 +static void secp256k1_gej_clear(secp256k1_gej *r) { + r->infinity = 0; + secp256k1_fe_clear(&r->x); + secp256k1_fe_clear(&r->y); + secp256k1_fe_clear(&r->z); +} + +static void secp256k1_ge_clear(secp256k1_ge *r) { + r->infinity = 0; + secp256k1_fe_clear(&r->x); + secp256k1_fe_clear(&r->y); +} +#endif + +static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd) { + secp256k1_fe x2, x3; + r->x = *x; + secp256k1_fe_sqr(&x2, x); + secp256k1_fe_mul(&x3, x, &x2); + r->infinity = 0; + secp256k1_fe_add(&x3, &secp256k1_fe_const_b); + if (!secp256k1_fe_sqrt_var(&r->y, &x3)) { + return 0; + } + secp256k1_fe_normalize_var(&r->y); + if (secp256k1_fe_is_odd(&r->y) != odd) { + secp256k1_fe_negate(&r->y, &r->y, 1); + } + return 1; + +} + +static void secp256k1_gej_set_ge(secp256k1_gej *r, const secp256k1_ge *a) { + r->infinity = a->infinity; + r->x = a->x; + r->y = a->y; + secp256k1_fe_set_int(&r->z, !r->infinity); +} + +static int secp256k1_gej_eq_x_var(const secp256k1_fe *x, const secp256k1_gej *a) { + secp256k1_fe r, r2; + VERIFY_CHECK(!a->infinity); + secp256k1_fe_sqr(&r, &a->z); secp256k1_fe_mul(&r, &r, x); + r2 = a->x; secp256k1_fe_normalize_weak(&r2); + return secp256k1_fe_equal_var(&r, &r2); +} + +static void secp256k1_gej_neg(secp256k1_gej *r, const secp256k1_gej *a) { + r->infinity = a->infinity; + r->x = a->x; + r->y = a->y; + r->z = a->z; + secp256k1_fe_normalize_weak(&r->y); + secp256k1_fe_negate(&r->y, &r->y, 1); +} + +static int secp256k1_gej_is_infinity(const secp256k1_gej *a) { + return a->infinity; +} + +static int secp256k1_ge_is_valid_var(const secp256k1_ge *a) { + secp256k1_fe y2, x3; + if (a->infinity) { + return 0; + } + /* y^2 = x^3 + 7 */ + secp256k1_fe_sqr(&y2, &a->y); + secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x); + secp256k1_fe_add(&x3, &secp256k1_fe_const_b); + secp256k1_fe_normalize_weak(&x3); + return secp256k1_fe_equal_var(&y2, &x3); +} + +static SECP256K1_INLINE void secp256k1_gej_double(secp256k1_gej *r, const secp256k1_gej *a) { + /* Operations: 3 mul, 4 sqr, 0 normalize, 12 mul_int/add/negate. + * + * Note that there is an implementation described at + * https://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l + * which trades a multiply for a square, but in practice this is actually slower, + * mainly because it requires more normalizations. + */ + secp256k1_fe t1,t2,t3,t4; + + r->infinity = a->infinity; + + secp256k1_fe_mul(&r->z, &a->z, &a->y); + secp256k1_fe_mul_int(&r->z, 2); /* Z' = 2*Y*Z (2) */ + secp256k1_fe_sqr(&t1, &a->x); + secp256k1_fe_mul_int(&t1, 3); /* T1 = 3*X^2 (3) */ + secp256k1_fe_sqr(&t2, &t1); /* T2 = 9*X^4 (1) */ + secp256k1_fe_sqr(&t3, &a->y); + secp256k1_fe_mul_int(&t3, 2); /* T3 = 2*Y^2 (2) */ + secp256k1_fe_sqr(&t4, &t3); + secp256k1_fe_mul_int(&t4, 2); /* T4 = 8*Y^4 (2) */ + secp256k1_fe_mul(&t3, &t3, &a->x); /* T3 = 2*X*Y^2 (1) */ + r->x = t3; + secp256k1_fe_mul_int(&r->x, 4); /* X' = 8*X*Y^2 (4) */ + secp256k1_fe_negate(&r->x, &r->x, 4); /* X' = -8*X*Y^2 (5) */ + secp256k1_fe_add(&r->x, &t2); /* X' = 9*X^4 - 8*X*Y^2 (6) */ + secp256k1_fe_negate(&t2, &t2, 1); /* T2 = -9*X^4 (2) */ + secp256k1_fe_mul_int(&t3, 6); /* T3 = 12*X*Y^2 (6) */ + secp256k1_fe_add(&t3, &t2); /* T3 = 12*X*Y^2 - 9*X^4 (8) */ + secp256k1_fe_mul(&r->y, &t1, &t3); /* Y' = 36*X^3*Y^2 - 27*X^6 (1) */ + secp256k1_fe_negate(&t2, &t4, 2); /* T2 = -8*Y^4 (3) */ + secp256k1_fe_add(&r->y, &t2); /* Y' = 36*X^3*Y^2 - 27*X^6 - 8*Y^4 (4) */ +} + +static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr) { + if (a->infinity) { + secp256k1_gej_set_infinity(r); + if (rzr != NULL) { + secp256k1_fe_set_int(rzr, 1); + } + return; + } + + if (rzr != NULL) { + *rzr = a->y; + secp256k1_fe_normalize_weak(rzr); + secp256k1_fe_mul_int(rzr, 2); + } + + secp256k1_gej_double(r, a); + + /** For secp256k1, 2Q is infinity if and only if Q is infinity. This is because if 2Q = infinity, + * Q must equal -Q, or that Q.y == -(Q.y), or Q.y is 0. For a point on y^2 = x^3 + 7 to have + * y=0, x^3 must be -7 mod p. However, -7 has no cube root mod p. + * + * Having said this, if this function receives a point on a sextic twist, + * it is possible for y to be 0. This happens for y^2 = x^3 + 6, + * since -6 does have a cube root mod p. For this point, gej_double will not set + * the infinity flag even though the point doubles to infinity, so we explicitly set it to infinity. + */ + r->infinity = secp256k1_fe_normalizes_to_zero_var(&r->z); +} + +static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_gej *b, secp256k1_fe *rzr) { + /* Operations: 12 mul, 4 sqr, 2 normalize, 12 mul_int/add/negate */ + secp256k1_fe z22, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; + + if (a->infinity) { + VERIFY_CHECK(rzr == NULL); + *r = *b; + return; + } + + if (b->infinity) { + if (rzr != NULL) { + secp256k1_fe_set_int(rzr, 1); + } + *r = *a; + return; + } + + r->infinity = 0; + secp256k1_fe_sqr(&z22, &b->z); + secp256k1_fe_sqr(&z12, &a->z); + secp256k1_fe_mul(&u1, &a->x, &z22); + secp256k1_fe_mul(&u2, &b->x, &z12); + secp256k1_fe_mul(&s1, &a->y, &z22); secp256k1_fe_mul(&s1, &s1, &b->z); + secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z); + secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2); + secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2); + if (secp256k1_fe_normalizes_to_zero_var(&h)) { + if (secp256k1_fe_normalizes_to_zero_var(&i)) { + secp256k1_gej_double_var(r, a, rzr); + } else { + if (rzr != NULL) { + secp256k1_fe_set_int(rzr, 0); + } + secp256k1_gej_set_infinity(r); + } + return; + } + secp256k1_fe_sqr(&i2, &i); + secp256k1_fe_sqr(&h2, &h); + secp256k1_fe_mul(&h3, &h, &h2); + secp256k1_fe_mul(&h, &h, &b->z); + if (rzr != NULL) { + *rzr = h; + } + secp256k1_fe_mul(&r->z, &a->z, &h); + secp256k1_fe_mul(&t, &u1, &h2); + r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2); + secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i); + secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1); + secp256k1_fe_add(&r->y, &h3); +} + +static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, secp256k1_fe *rzr) { + /* 8 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */ + secp256k1_fe z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; + if (a->infinity) { + VERIFY_CHECK(rzr == NULL); + if (rzr != NULL) { + secp256k1_fe_clear(rzr); + } + secp256k1_gej_set_ge(r, b); + return; + } + if (b->infinity) { + if (rzr != NULL) { + secp256k1_fe_set_int(rzr, 1); + } + *r = *a; + return; + } + r->infinity = 0; + + secp256k1_fe_sqr(&z12, &a->z); + u1 = a->x; secp256k1_fe_normalize_weak(&u1); + secp256k1_fe_mul(&u2, &b->x, &z12); + s1 = a->y; secp256k1_fe_normalize_weak(&s1); + secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z); + secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2); + secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2); + if (secp256k1_fe_normalizes_to_zero_var(&h)) { + if (secp256k1_fe_normalizes_to_zero_var(&i)) { + secp256k1_gej_double_var(r, a, rzr); + } else { + if (rzr != NULL) { + secp256k1_fe_set_int(rzr, 0); + } + secp256k1_gej_set_infinity(r); + } + return; + } + secp256k1_fe_sqr(&i2, &i); + secp256k1_fe_sqr(&h2, &h); + secp256k1_fe_mul(&h3, &h, &h2); + if (rzr != NULL) { + *rzr = h; + } + secp256k1_fe_mul(&r->z, &a->z, &h); + secp256k1_fe_mul(&t, &u1, &h2); + r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2); + secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i); + secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1); + secp256k1_fe_add(&r->y, &h3); +} + +static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, const secp256k1_fe *bzinv) { + /* 9 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */ + secp256k1_fe az, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t; + + if (b->infinity) { + *r = *a; + return; + } + if (a->infinity) { + secp256k1_fe bzinv2, bzinv3; + r->infinity = b->infinity; + secp256k1_fe_sqr(&bzinv2, bzinv); + secp256k1_fe_mul(&bzinv3, &bzinv2, bzinv); + secp256k1_fe_mul(&r->x, &b->x, &bzinv2); + secp256k1_fe_mul(&r->y, &b->y, &bzinv3); + secp256k1_fe_set_int(&r->z, !r->infinity); + return; + } + r->infinity = 0; + + /** We need to calculate (rx,ry,rz) = (ax,ay,az) + (bx,by,1/bzinv). Due to + * secp256k1's isomorphism we can multiply the Z coordinates on both sides + * by bzinv, and get: (rx,ry,rz*bzinv) = (ax,ay,az*bzinv) + (bx,by,1). + * This means that (rx,ry,rz) can be calculated as + * (ax,ay,az*bzinv) + (bx,by,1), when not applying the bzinv factor to rz. + * The variable az below holds the modified Z coordinate for a, which is used + * for the computation of rx and ry, but not for rz. + */ + secp256k1_fe_mul(&az, &a->z, bzinv); + + secp256k1_fe_sqr(&z12, &az); + u1 = a->x; secp256k1_fe_normalize_weak(&u1); + secp256k1_fe_mul(&u2, &b->x, &z12); + s1 = a->y; secp256k1_fe_normalize_weak(&s1); + secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &az); + secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2); + secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2); + if (secp256k1_fe_normalizes_to_zero_var(&h)) { + if (secp256k1_fe_normalizes_to_zero_var(&i)) { + secp256k1_gej_double_var(r, a, NULL); + } else { + secp256k1_gej_set_infinity(r); + } + return; + } + secp256k1_fe_sqr(&i2, &i); + secp256k1_fe_sqr(&h2, &h); + secp256k1_fe_mul(&h3, &h, &h2); + r->z = a->z; secp256k1_fe_mul(&r->z, &r->z, &h); + secp256k1_fe_mul(&t, &u1, &h2); + r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2); + secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i); + secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1); + secp256k1_fe_add(&r->y, &h3); +} + +#if 0 +static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b) { + /* Operations: 7 mul, 5 sqr, 4 normalize, 21 mul_int/add/negate/cmov */ + static const secp256k1_fe fe_1 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1); + secp256k1_fe zz, u1, u2, s1, s2, t, tt, m, n, q, rr; + secp256k1_fe m_alt, rr_alt; + int infinity, degenerate; + VERIFY_CHECK(!b->infinity); + VERIFY_CHECK(a->infinity == 0 || a->infinity == 1); + + /** In: + * Eric Brier and Marc Joye, Weierstrass Elliptic Curves and Side-Channel Attacks. + * In D. Naccache and P. Paillier, Eds., Public Key Cryptography, vol. 2274 of Lecture Notes in Computer Science, pages 335-345. Springer-Verlag, 2002. + * we find as solution for a unified addition/doubling formula: + * lambda = ((x1 + x2)^2 - x1 * x2 + a) / (y1 + y2), with a = 0 for secp256k1's curve equation. + * x3 = lambda^2 - (x1 + x2) + * 2*y3 = lambda * (x1 + x2 - 2 * x3) - (y1 + y2). + * + * Substituting x_i = Xi / Zi^2 and yi = Yi / Zi^3, for i=1,2,3, gives: + * U1 = X1*Z2^2, U2 = X2*Z1^2 + * S1 = Y1*Z2^3, S2 = Y2*Z1^3 + * Z = Z1*Z2 + * T = U1+U2 + * M = S1+S2 + * Q = T*M^2 + * R = T^2-U1*U2 + * X3 = 4*(R^2-Q) + * Y3 = 4*(R*(3*Q-2*R^2)-M^4) + * Z3 = 2*M*Z + * (Note that the paper uses xi = Xi / Zi and yi = Yi / Zi instead.) + * + * This formula has the benefit of being the same for both addition + * of distinct points and doubling. However, it breaks down in the + * case that either point is infinity, or that y1 = -y2. We handle + * these cases in the following ways: + * + * - If b is infinity we simply bail by means of a VERIFY_CHECK. + * + * - If a is infinity, we detect this, and at the end of the + * computation replace the result (which will be meaningless, + * but we compute to be constant-time) with b.x : b.y : 1. + * + * - If a = -b, we have y1 = -y2, which is a degenerate case. + * But here the answer is infinity, so we simply set the + * infinity flag of the result, overriding the computed values + * without even needing to cmov. + * + * - If y1 = -y2 but x1 != x2, which does occur thanks to certain + * properties of our curve (specifically, 1 has nontrivial cube + * roots in our field, and the curve equation has no x coefficient) + * then the answer is not infinity but also not given by the above + * equation. In this case, we cmov in place an alternate expression + * for lambda. Specifically (y1 - y2)/(x1 - x2). Where both these + * expressions for lambda are defined, they are equal, and can be + * obtained from each other by multiplication by (y1 + y2)/(y1 + y2) + * then substitution of x^3 + 7 for y^2 (using the curve equation). + * For all pairs of nonzero points (a, b) at least one is defined, + * so this covers everything. + */ + + secp256k1_fe_sqr(&zz, &a->z); /* z = Z1^2 */ + u1 = a->x; secp256k1_fe_normalize_weak(&u1); /* u1 = U1 = X1*Z2^2 (1) */ + secp256k1_fe_mul(&u2, &b->x, &zz); /* u2 = U2 = X2*Z1^2 (1) */ + s1 = a->y; secp256k1_fe_normalize_weak(&s1); /* s1 = S1 = Y1*Z2^3 (1) */ + secp256k1_fe_mul(&s2, &b->y, &zz); /* s2 = Y2*Z1^2 (1) */ + secp256k1_fe_mul(&s2, &s2, &a->z); /* s2 = S2 = Y2*Z1^3 (1) */ + t = u1; secp256k1_fe_add(&t, &u2); /* t = T = U1+U2 (2) */ + m = s1; secp256k1_fe_add(&m, &s2); /* m = M = S1+S2 (2) */ + secp256k1_fe_sqr(&rr, &t); /* rr = T^2 (1) */ + secp256k1_fe_negate(&m_alt, &u2, 1); /* Malt = -X2*Z1^2 */ + secp256k1_fe_mul(&tt, &u1, &m_alt); /* tt = -U1*U2 (2) */ + secp256k1_fe_add(&rr, &tt); /* rr = R = T^2-U1*U2 (3) */ + /** If lambda = R/M = 0/0 we have a problem (except in the "trivial" + * case that Z = z1z2 = 0, and this is special-cased later on). */ + degenerate = secp256k1_fe_normalizes_to_zero(&m) & + secp256k1_fe_normalizes_to_zero(&rr); + /* This only occurs when y1 == -y2 and x1^3 == x2^3, but x1 != x2. + * This means either x1 == beta*x2 or beta*x1 == x2, where beta is + * a nontrivial cube root of one. In either case, an alternate + * non-indeterminate expression for lambda is (y1 - y2)/(x1 - x2), + * so we set R/M equal to this. */ + rr_alt = s1; + secp256k1_fe_mul_int(&rr_alt, 2); /* rr = Y1*Z2^3 - Y2*Z1^3 (2) */ + secp256k1_fe_add(&m_alt, &u1); /* Malt = X1*Z2^2 - X2*Z1^2 */ + + secp256k1_fe_cmov(&rr_alt, &rr, !degenerate); + secp256k1_fe_cmov(&m_alt, &m, !degenerate); + /* Now Ralt / Malt = lambda and is guaranteed not to be 0/0. + * From here on out Ralt and Malt represent the numerator + * and denominator of lambda; R and M represent the explicit + * expressions x1^2 + x2^2 + x1x2 and y1 + y2. */ + secp256k1_fe_sqr(&n, &m_alt); /* n = Malt^2 (1) */ + secp256k1_fe_mul(&q, &n, &t); /* q = Q = T*Malt^2 (1) */ + /* These two lines use the observation that either M == Malt or M == 0, + * so M^3 * Malt is either Malt^4 (which is computed by squaring), or + * zero (which is "computed" by cmov). So the cost is one squaring + * versus two multiplications. */ + secp256k1_fe_sqr(&n, &n); + secp256k1_fe_cmov(&n, &m, degenerate); /* n = M^3 * Malt (2) */ + secp256k1_fe_sqr(&t, &rr_alt); /* t = Ralt^2 (1) */ + secp256k1_fe_mul(&r->z, &a->z, &m_alt); /* r->z = Malt*Z (1) */ + infinity = secp256k1_fe_normalizes_to_zero(&r->z) & ~a->infinity; + secp256k1_fe_mul_int(&r->z, 2); /* r->z = Z3 = 2*Malt*Z (2) */ + secp256k1_fe_negate(&q, &q, 1); /* q = -Q (2) */ + secp256k1_fe_add(&t, &q); /* t = Ralt^2-Q (3) */ + secp256k1_fe_normalize_weak(&t); + r->x = t; /* r->x = Ralt^2-Q (1) */ + secp256k1_fe_mul_int(&t, 2); /* t = 2*x3 (2) */ + secp256k1_fe_add(&t, &q); /* t = 2*x3 - Q: (4) */ + secp256k1_fe_mul(&t, &t, &rr_alt); /* t = Ralt*(2*x3 - Q) (1) */ + secp256k1_fe_add(&t, &n); /* t = Ralt*(2*x3 - Q) + M^3*Malt (3) */ + secp256k1_fe_negate(&r->y, &t, 3); /* r->y = Ralt*(Q - 2x3) - M^3*Malt (4) */ + secp256k1_fe_normalize_weak(&r->y); + secp256k1_fe_mul_int(&r->x, 4); /* r->x = X3 = 4*(Ralt^2-Q) */ + secp256k1_fe_mul_int(&r->y, 4); /* r->y = Y3 = 4*Ralt*(Q - 2x3) - 4*M^3*Malt (4) */ + + /** In case a->infinity == 1, replace r with (b->x, b->y, 1). */ + secp256k1_fe_cmov(&r->x, &b->x, a->infinity); + secp256k1_fe_cmov(&r->y, &b->y, a->infinity); + secp256k1_fe_cmov(&r->z, &fe_1, a->infinity); + r->infinity = infinity; +} +#endif + +static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *s) { + /* Operations: 4 mul, 1 sqr */ + secp256k1_fe zz; + VERIFY_CHECK(!secp256k1_fe_is_zero(s)); + secp256k1_fe_sqr(&zz, s); + secp256k1_fe_mul(&r->x, &r->x, &zz); /* r->x *= s^2 */ + secp256k1_fe_mul(&r->y, &r->y, &zz); + secp256k1_fe_mul(&r->y, &r->y, s); /* r->y *= s^3 */ + secp256k1_fe_mul(&r->z, &r->z, s); /* r->z *= s */ +} + +static void secp256k1_ge_to_storage(secp256k1_ge_storage *r, const secp256k1_ge *a) { + secp256k1_fe x, y; + VERIFY_CHECK(!a->infinity); + x = a->x; + secp256k1_fe_normalize_var(&x); + y = a->y; + secp256k1_fe_normalize_var(&y); + secp256k1_fe_to_storage(&r->x, &x); + secp256k1_fe_to_storage(&r->y, &y); +} + +static void secp256k1_ge_from_storage(secp256k1_ge *r, const secp256k1_ge_storage *a) { + secp256k1_fe_from_storage(&r->x, &a->x); + secp256k1_fe_from_storage(&r->y, &a->y); + r->infinity = 0; +} + +static SECP256K1_INLINE void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_ge_storage *a, int flag) { + secp256k1_fe_storage_cmov(&r->x, &a->x, flag); + secp256k1_fe_storage_cmov(&r->y, &a->y, flag); +} + +static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a) { + static const secp256k1_fe beta = SECP256K1_FE_CONST( + 0x7ae96a2bul, 0x657c0710ul, 0x6e64479eul, 0xac3434e9ul, + 0x9cf04975ul, 0x12f58995ul, 0xc1396c28ul, 0x719501eeul + ); + *r = *a; + secp256k1_fe_mul(&r->x, &r->x, &beta); +} + +static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge) { + (void)ge; + /* The real secp256k1 group has cofactor 1, so the subgroup is the entire curve. */ + return 1; +} + +#endif /* SECP256K1_GROUP_IMPL_H */ diff --git a/secp256k1/modinv32.h b/secp256k1/modinv32.h new file mode 100644 index 00000000000..5dab23e7583 --- /dev/null +++ b/secp256k1/modinv32.h @@ -0,0 +1,39 @@ +/*********************************************************************** + * Copyright (c) 2020 Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODINV32_H +#define SECP256K1_MODINV32_H + +#if defined HAVE_CONFIG_H +#include "libsecp256k1-config.h" +#endif + +#include "util.h" + +/* A signed 30-bit limb representation of integers. + * + * Its value is sum(v[i] * 2^(30*i), i=0..8). */ +typedef struct { + int32_t v[9]; +} secp256k1_modinv32_signed30; + +typedef struct { + /* The modulus in signed30 notation, must be odd and in [3, 2^256]. */ + secp256k1_modinv32_signed30 modulus; + + /* modulus^{-1} mod 2^30 */ + uint32_t modulus_inv30; +} secp256k1_modinv32_modinfo; + +/* Replace x with its modular inverse mod modinfo->modulus. x must be in range [0, modulus). + * If x is zero, the result will be zero as well. If not, the inverse must exist (i.e., the gcd of + * x and modulus must be 1). These rules are automatically satisfied if the modulus is prime. + * + * On output, all of x's limbs will be in [0, 2^30). + */ +static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo); + +#endif /* SECP256K1_MODINV32_H */ diff --git a/secp256k1/modinv32_impl.h b/secp256k1/modinv32_impl.h new file mode 100644 index 00000000000..39398d7c40d --- /dev/null +++ b/secp256k1/modinv32_impl.h @@ -0,0 +1,437 @@ +/*********************************************************************** + * Copyright (c) 2020 Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODINV32_IMPL_H +#define SECP256K1_MODINV32_IMPL_H + +#include "modinv32.h" + +#include "util.h" + +#include + +/* This file implements modular inversion based on the paper "Fast constant-time gcd computation and + * modular inversion" by Daniel J. Bernstein and Bo-Yin Yang. + * + * For an explanation of the algorithm, see doc/safegcd_implementation.md. This file contains an + * implementation for N=30, using 30-bit signed limbs represented as int32_t. + */ + +#ifdef VERIFY +static const secp256k1_modinv32_signed30 SECP256K1_SIGNED30_ONE = {{1}}; + +/* Compute a*factor and put it in r. All but the top limb in r will be in range [0,2^30). */ +static void secp256k1_modinv32_mul_30(secp256k1_modinv32_signed30 *r, const secp256k1_modinv32_signed30 *a, int alen, int32_t factor) { + const int32_t M30 = (int32_t)(UINT32_MAX >> 2); + int64_t c = 0; + int i; + for (i = 0; i < 8; ++i) { + if (i < alen) c += (int64_t)a->v[i] * factor; + r->v[i] = (int32_t)c & M30; c >>= 30; + } + if (8 < alen) c += (int64_t)a->v[8] * factor; + VERIFY_CHECK(c == (int32_t)c); + r->v[8] = (int32_t)c; +} + +/* Return -1 for ab*factor. A consists of alen limbs; b has 9. */ +static int secp256k1_modinv32_mul_cmp_30(const secp256k1_modinv32_signed30 *a, int alen, const secp256k1_modinv32_signed30 *b, int32_t factor) { + int i; + secp256k1_modinv32_signed30 am, bm; + secp256k1_modinv32_mul_30(&am, a, alen, 1); /* Normalize all but the top limb of a. */ + secp256k1_modinv32_mul_30(&bm, b, 9, factor); + for (i = 0; i < 8; ++i) { + /* Verify that all but the top limb of a and b are normalized. */ + VERIFY_CHECK(am.v[i] >> 30 == 0); + VERIFY_CHECK(bm.v[i] >> 30 == 0); + } + for (i = 8; i >= 0; --i) { + if (am.v[i] < bm.v[i]) return -1; + if (am.v[i] > bm.v[i]) return 1; + } + return 0; +} +#endif + +/* Take as input a signed30 number in range (-2*modulus,modulus), and add a multiple of the modulus + * to it to bring it to range [0,modulus). If sign < 0, the input will also be negated in the + * process. The input must have limbs in range (-2^30,2^30). The output will have limbs in range + * [0,2^30). */ +static void secp256k1_modinv32_normalize_30(secp256k1_modinv32_signed30 *r, int32_t sign, const secp256k1_modinv32_modinfo *modinfo) { + const int32_t M30 = (int32_t)(UINT32_MAX >> 2); + int32_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4], + r5 = r->v[5], r6 = r->v[6], r7 = r->v[7], r8 = r->v[8]; + int32_t cond_add, cond_negate; + +#ifdef VERIFY + /* Verify that all limbs are in range (-2^30,2^30). */ + int i; + for (i = 0; i < 9; ++i) { + VERIFY_CHECK(r->v[i] >= -M30); + VERIFY_CHECK(r->v[i] <= M30); + } + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, -2) > 0); /* r > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 1) < 0); /* r < modulus */ +#endif + + /* In a first step, add the modulus if the input is negative, and then negate if requested. + * This brings r from range (-2*modulus,modulus) to range (-modulus,modulus). As all input + * limbs are in range (-2^30,2^30), this cannot overflow an int32_t. Note that the right + * shifts below are signed sign-extending shifts (see assumptions.h for tests that that is + * indeed the behavior of the right shift operator). */ + cond_add = r8 >> 31; + r0 += modinfo->modulus.v[0] & cond_add; + r1 += modinfo->modulus.v[1] & cond_add; + r2 += modinfo->modulus.v[2] & cond_add; + r3 += modinfo->modulus.v[3] & cond_add; + r4 += modinfo->modulus.v[4] & cond_add; + r5 += modinfo->modulus.v[5] & cond_add; + r6 += modinfo->modulus.v[6] & cond_add; + r7 += modinfo->modulus.v[7] & cond_add; + r8 += modinfo->modulus.v[8] & cond_add; + cond_negate = sign >> 31; + r0 = (r0 ^ cond_negate) - cond_negate; + r1 = (r1 ^ cond_negate) - cond_negate; + r2 = (r2 ^ cond_negate) - cond_negate; + r3 = (r3 ^ cond_negate) - cond_negate; + r4 = (r4 ^ cond_negate) - cond_negate; + r5 = (r5 ^ cond_negate) - cond_negate; + r6 = (r6 ^ cond_negate) - cond_negate; + r7 = (r7 ^ cond_negate) - cond_negate; + r8 = (r8 ^ cond_negate) - cond_negate; + /* Propagate the top bits, to bring limbs back to range (-2^30,2^30). */ + r1 += r0 >> 30; r0 &= M30; + r2 += r1 >> 30; r1 &= M30; + r3 += r2 >> 30; r2 &= M30; + r4 += r3 >> 30; r3 &= M30; + r5 += r4 >> 30; r4 &= M30; + r6 += r5 >> 30; r5 &= M30; + r7 += r6 >> 30; r6 &= M30; + r8 += r7 >> 30; r7 &= M30; + + /* In a second step add the modulus again if the result is still negative, bringing r to range + * [0,modulus). */ + cond_add = r8 >> 31; + r0 += modinfo->modulus.v[0] & cond_add; + r1 += modinfo->modulus.v[1] & cond_add; + r2 += modinfo->modulus.v[2] & cond_add; + r3 += modinfo->modulus.v[3] & cond_add; + r4 += modinfo->modulus.v[4] & cond_add; + r5 += modinfo->modulus.v[5] & cond_add; + r6 += modinfo->modulus.v[6] & cond_add; + r7 += modinfo->modulus.v[7] & cond_add; + r8 += modinfo->modulus.v[8] & cond_add; + /* And propagate again. */ + r1 += r0 >> 30; r0 &= M30; + r2 += r1 >> 30; r1 &= M30; + r3 += r2 >> 30; r2 &= M30; + r4 += r3 >> 30; r3 &= M30; + r5 += r4 >> 30; r4 &= M30; + r6 += r5 >> 30; r5 &= M30; + r7 += r6 >> 30; r6 &= M30; + r8 += r7 >> 30; r7 &= M30; + + r->v[0] = r0; + r->v[1] = r1; + r->v[2] = r2; + r->v[3] = r3; + r->v[4] = r4; + r->v[5] = r5; + r->v[6] = r6; + r->v[7] = r7; + r->v[8] = r8; + +#ifdef VERIFY + VERIFY_CHECK(r0 >> 30 == 0); + VERIFY_CHECK(r1 >> 30 == 0); + VERIFY_CHECK(r2 >> 30 == 0); + VERIFY_CHECK(r3 >> 30 == 0); + VERIFY_CHECK(r4 >> 30 == 0); + VERIFY_CHECK(r5 >> 30 == 0); + VERIFY_CHECK(r6 >> 30 == 0); + VERIFY_CHECK(r7 >> 30 == 0); + VERIFY_CHECK(r8 >> 30 == 0); + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 0) >= 0); /* r >= 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(r, 9, &modinfo->modulus, 1) < 0); /* r < modulus */ +#endif +} + +/* Data type for transition matrices (see section 3 of explanation). + * + * t = [ u v ] + * [ q r ] + */ +typedef struct { + int32_t u, v, q, r; +} secp256k1_modinv32_trans2x2; + +/* Compute the transition matrix and eta for 30 divsteps (variable time). + * + * Input: eta: initial eta + * f0: bottom limb of initial f + * g0: bottom limb of initial g + * Output: t: transition matrix + * Return: final eta + * + * Implements the divsteps_n_matrix_var function from the explanation. + */ +static int32_t secp256k1_modinv32_divsteps_30_var(int32_t eta, uint32_t f0, uint32_t g0, secp256k1_modinv32_trans2x2 *t) { + /* inv256[i] = -(2*i+1)^-1 (mod 256) */ + static const uint8_t inv256[128] = { + 0xFF, 0x55, 0x33, 0x49, 0xC7, 0x5D, 0x3B, 0x11, 0x0F, 0xE5, 0xC3, 0x59, + 0xD7, 0xED, 0xCB, 0x21, 0x1F, 0x75, 0x53, 0x69, 0xE7, 0x7D, 0x5B, 0x31, + 0x2F, 0x05, 0xE3, 0x79, 0xF7, 0x0D, 0xEB, 0x41, 0x3F, 0x95, 0x73, 0x89, + 0x07, 0x9D, 0x7B, 0x51, 0x4F, 0x25, 0x03, 0x99, 0x17, 0x2D, 0x0B, 0x61, + 0x5F, 0xB5, 0x93, 0xA9, 0x27, 0xBD, 0x9B, 0x71, 0x6F, 0x45, 0x23, 0xB9, + 0x37, 0x4D, 0x2B, 0x81, 0x7F, 0xD5, 0xB3, 0xC9, 0x47, 0xDD, 0xBB, 0x91, + 0x8F, 0x65, 0x43, 0xD9, 0x57, 0x6D, 0x4B, 0xA1, 0x9F, 0xF5, 0xD3, 0xE9, + 0x67, 0xFD, 0xDB, 0xB1, 0xAF, 0x85, 0x63, 0xF9, 0x77, 0x8D, 0x6B, 0xC1, + 0xBF, 0x15, 0xF3, 0x09, 0x87, 0x1D, 0xFB, 0xD1, 0xCF, 0xA5, 0x83, 0x19, + 0x97, 0xAD, 0x8B, 0xE1, 0xDF, 0x35, 0x13, 0x29, 0xA7, 0x3D, 0x1B, 0xF1, + 0xEF, 0xC5, 0xA3, 0x39, 0xB7, 0xCD, 0xAB, 0x01 + }; + + /* Transformation matrix; see comments in secp256k1_modinv32_divsteps_30. */ + uint32_t u = 1, v = 0, q = 0, r = 1; + uint32_t f = f0, g = g0, m; + uint16_t w; + int i = 30, limit, zeros; + + for (;;) { + /* Use a sentinel bit to count zeros only up to i. */ + zeros = secp256k1_ctz32_var(g | (UINT32_MAX << i)); + /* Perform zeros divsteps at once; they all just divide g by two. */ + g >>= zeros; + u <<= zeros; + v <<= zeros; + eta -= zeros; + i -= zeros; + /* We're done once we've done 30 divsteps. */ + if (i == 0) break; + VERIFY_CHECK((f & 1) == 1); + VERIFY_CHECK((g & 1) == 1); + VERIFY_CHECK((u * f0 + v * g0) == f << (30 - i)); + VERIFY_CHECK((q * f0 + r * g0) == g << (30 - i)); + /* Bounds on eta that follow from the bounds on iteration count (max 25*30 divsteps). */ + VERIFY_CHECK(eta >= -751 && eta <= 751); + /* If eta is negative, negate it and replace f,g with g,-f. */ + if (eta < 0) { + uint32_t tmp; + eta = -eta; + tmp = f; f = g; g = -tmp; + tmp = u; u = q; q = -tmp; + tmp = v; v = r; r = -tmp; + } + /* eta is now >= 0. In what follows we're going to cancel out the bottom bits of g. No more + * than i can be cancelled out (as we'd be done before that point), and no more than eta+1 + * can be done as its sign will flip once that happens. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + /* m is a mask for the bottom min(limit, 8) bits (our table only supports 8 bits). */ + VERIFY_CHECK(limit > 0 && limit <= 30); + m = (UINT32_MAX >> (32 - limit)) & 255U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 8) bits. */ + w = (g * inv256[(f >> 1) & 127]) & m; + /* Do so. */ + g += f * w; + q += u * w; + r += v * w; + VERIFY_CHECK((g & m) == 0); + } + /* Return data in t and return value. */ + t->u = (int32_t)u; + t->v = (int32_t)v; + t->q = (int32_t)q; + t->r = (int32_t)r; + /* The determinant of t must be a power of two. This guarantees that multiplication with t + * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which + * will be divided out again). As each divstep's individual matrix has determinant 2, the + * aggregate of 30 of them will have determinant 2^30. */ + VERIFY_CHECK((int64_t)t->u * t->r - (int64_t)t->v * t->q == ((int64_t)1) << 30); + return eta; +} + +/* Compute (t/2^30) * [d, e] mod modulus, where t is a transition matrix for 30 divsteps. + * + * On input and output, d and e are in range (-2*modulus,modulus). All output limbs will be in range + * (-2^30,2^30). + * + * This implements the update_de function from the explanation. + */ +static void secp256k1_modinv32_update_de_30(secp256k1_modinv32_signed30 *d, secp256k1_modinv32_signed30 *e, const secp256k1_modinv32_trans2x2 *t, const secp256k1_modinv32_modinfo* modinfo) { + const int32_t M30 = (int32_t)(UINT32_MAX >> 2); + const int32_t u = t->u, v = t->v, q = t->q, r = t->r; + int32_t di, ei, md, me, sd, se; + int64_t cd, ce; + int i; +#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, 1) < 0); /* d < modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, 1) < 0); /* e < modulus */ + VERIFY_CHECK((labs(u) + labs(v)) >= 0); /* |u|+|v| doesn't overflow */ + VERIFY_CHECK((labs(q) + labs(r)) >= 0); /* |q|+|r| doesn't overflow */ + VERIFY_CHECK((labs(u) + labs(v)) <= M30 + 1); /* |u|+|v| <= 2^30 */ + VERIFY_CHECK((labs(q) + labs(r)) <= M30 + 1); /* |q|+|r| <= 2^30 */ +#endif + /* [md,me] start as zero; plus [u,q] if d is negative; plus [v,r] if e is negative. */ + sd = d->v[8] >> 31; + se = e->v[8] >> 31; + md = (u & sd) + (v & se); + me = (q & sd) + (r & se); + /* Begin computing t*[d,e]. */ + di = d->v[0]; + ei = e->v[0]; + cd = (int64_t)u * di + (int64_t)v * ei; + ce = (int64_t)q * di + (int64_t)r * ei; + /* Correct md,me so that t*[d,e]+modulus*[md,me] has 30 zero bottom bits. */ + md -= (modinfo->modulus_inv30 * (uint32_t)cd + md) & M30; + me -= (modinfo->modulus_inv30 * (uint32_t)ce + me) & M30; + /* Update the beginning of computation for t*[d,e]+modulus*[md,me] now md,me are known. */ + cd += (int64_t)modinfo->modulus.v[0] * md; + ce += (int64_t)modinfo->modulus.v[0] * me; + /* Verify that the low 30 bits of the computation are indeed zero, and then throw them away. */ + VERIFY_CHECK(((int32_t)cd & M30) == 0); cd >>= 30; + VERIFY_CHECK(((int32_t)ce & M30) == 0); ce >>= 30; + /* Now iteratively compute limb i=1..8 of t*[d,e]+modulus*[md,me], and store them in output + * limb i-1 (shifting down by 30 bits). */ + for (i = 1; i < 9; ++i) { + di = d->v[i]; + ei = e->v[i]; + cd += (int64_t)u * di + (int64_t)v * ei; + ce += (int64_t)q * di + (int64_t)r * ei; + cd += (int64_t)modinfo->modulus.v[i] * md; + ce += (int64_t)modinfo->modulus.v[i] * me; + d->v[i - 1] = (int32_t)cd & M30; cd >>= 30; + e->v[i - 1] = (int32_t)ce & M30; ce >>= 30; + } + /* What remains is limb 9 of t*[d,e]+modulus*[md,me]; store it as output limb 8. */ + d->v[8] = (int32_t)cd; + e->v[8] = (int32_t)ce; +#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(d, 9, &modinfo->modulus, 1) < 0); /* d < modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(e, 9, &modinfo->modulus, 1) < 0); /* e < modulus */ +#endif +} + +/* Compute (t/2^30) * [f, g], where t is a transition matrix for 30 divsteps. + * + * Version that operates on a variable number of limbs in f and g. + * + * This implements the update_fg function from the explanation in modinv64_impl.h. + */ +static void secp256k1_modinv32_update_fg_30_var(int len, secp256k1_modinv32_signed30 *f, secp256k1_modinv32_signed30 *g, const secp256k1_modinv32_trans2x2 *t) { + const int32_t M30 = (int32_t)(UINT32_MAX >> 2); + const int32_t u = t->u, v = t->v, q = t->q, r = t->r; + int32_t fi, gi; + int64_t cf, cg; + int i; + VERIFY_CHECK(len > 0); + /* Start computing t*[f,g]. */ + fi = f->v[0]; + gi = g->v[0]; + cf = (int64_t)u * fi + (int64_t)v * gi; + cg = (int64_t)q * fi + (int64_t)r * gi; + /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */ + VERIFY_CHECK(((int32_t)cf & M30) == 0); cf >>= 30; + VERIFY_CHECK(((int32_t)cg & M30) == 0); cg >>= 30; + /* Now iteratively compute limb i=1..len of t*[f,g], and store them in output limb i-1 (shifting + * down by 30 bits). */ + for (i = 1; i < len; ++i) { + fi = f->v[i]; + gi = g->v[i]; + cf += (int64_t)u * fi + (int64_t)v * gi; + cg += (int64_t)q * fi + (int64_t)r * gi; + f->v[i - 1] = (int32_t)cf & M30; cf >>= 30; + g->v[i - 1] = (int32_t)cg & M30; cg >>= 30; + } + /* What remains is limb (len) of t*[f,g]; store it as output limb (len-1). */ + f->v[len - 1] = (int32_t)cf; + g->v[len - 1] = (int32_t)cg; +} + +/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (variable time). */ +static void secp256k1_modinv32_var(secp256k1_modinv32_signed30 *x, const secp256k1_modinv32_modinfo *modinfo) { + /* Start with d=0, e=1, f=modulus, g=x, eta=-1. */ + secp256k1_modinv32_signed30 d = {{0, 0, 0, 0, 0, 0, 0, 0, 0}}; + secp256k1_modinv32_signed30 e = {{1, 0, 0, 0, 0, 0, 0, 0, 0}}; + secp256k1_modinv32_signed30 f = modinfo->modulus; + secp256k1_modinv32_signed30 g = *x; +#ifdef VERIFY + int i = 0; +#endif + int j, len = 9; + int32_t eta = -1; /* eta = -delta; delta is initially 1 (faster for the variable-time code) */ + int32_t cond, fn, gn; + + /* Do iterations of 30 divsteps each until g=0. */ + while (1) { + /* Compute transition matrix and new eta after 30 divsteps. */ + secp256k1_modinv32_trans2x2 t; + eta = secp256k1_modinv32_divsteps_30_var(eta, f.v[0], g.v[0], &t); + /* Update d,e using that transition matrix. */ + secp256k1_modinv32_update_de_30(&d, &e, &t, modinfo); + /* Update f,g using that transition matrix. */ +#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ +#endif + secp256k1_modinv32_update_fg_30_var(len, &f, &g, &t); + /* If the bottom limb of g is 0, there is a chance g=0. */ + if (g.v[0] == 0) { + cond = 0; + /* Check if all other limbs are also 0. */ + for (j = 1; j < len; ++j) { + cond |= g.v[j]; + } + /* If so, we're done. */ + if (cond == 0) break; + } + + /* Determine if len>1 and limb (len-1) of both f and g is 0 or -1. */ + fn = f.v[len - 1]; + gn = g.v[len - 1]; + cond = ((int32_t)len - 2) >> 31; + cond |= fn ^ (fn >> 31); + cond |= gn ^ (gn >> 31); + /* If so, reduce length, propagating the sign of f and g's top limb into the one below. */ + if (cond == 0) { + f.v[len - 2] |= (uint32_t)fn << 30; + g.v[len - 2] |= (uint32_t)gn << 30; + --len; + } +#ifdef VERIFY + VERIFY_CHECK(++i < 25); /* We should never need more than 25*30 = 750 divsteps */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ +#endif + } + + /* At this point g is 0 and (if g was not originally 0) f must now equal +/- GCD of + * the initial f, g values i.e. +/- 1, and d now contains +/- the modular inverse. */ +#ifdef VERIFY + /* g == 0 */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&g, len, &SECP256K1_SIGNED30_ONE, 0) == 0); + /* |f| == 1, or (x == 0 and d == 0 and |f|=modulus) */ + VERIFY_CHECK(secp256k1_modinv32_mul_cmp_30(&f, len, &SECP256K1_SIGNED30_ONE, -1) == 0 || + secp256k1_modinv32_mul_cmp_30(&f, len, &SECP256K1_SIGNED30_ONE, 1) == 0 || + (secp256k1_modinv32_mul_cmp_30(x, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 && + secp256k1_modinv32_mul_cmp_30(&d, 9, &SECP256K1_SIGNED30_ONE, 0) == 0 && + (secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, 1) == 0 || + secp256k1_modinv32_mul_cmp_30(&f, len, &modinfo->modulus, -1) == 0))); +#endif + + /* Optionally negate d, normalize to [0,modulus), and return it. */ + secp256k1_modinv32_normalize_30(&d, f.v[len - 1], modinfo); + *x = d; +} + +#endif /* SECP256K1_MODINV32_IMPL_H */ diff --git a/secp256k1/modinv64.h b/secp256k1/modinv64.h new file mode 100644 index 00000000000..1d5974901e2 --- /dev/null +++ b/secp256k1/modinv64.h @@ -0,0 +1,43 @@ +/*********************************************************************** + * Copyright (c) 2020 Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODINV64_H +#define SECP256K1_MODINV64_H + +#if defined HAVE_CONFIG_H +#include "libsecp256k1-config.h" +#endif + +#include "util.h" + +#ifndef SECP256K1_WIDEMUL_INT128 +#error "modinv64 requires 128-bit wide multiplication support" +#endif + +/* A signed 62-bit limb representation of integers. + * + * Its value is sum(v[i] * 2^(62*i), i=0..4). */ +typedef struct { + int64_t v[5]; +} secp256k1_modinv64_signed62; + +typedef struct { + /* The modulus in signed62 notation, must be odd and in [3, 2^256]. */ + secp256k1_modinv64_signed62 modulus; + + /* modulus^{-1} mod 2^62 */ + uint64_t modulus_inv62; +} secp256k1_modinv64_modinfo; + +/* Replace x with its modular inverse mod modinfo->modulus. x must be in range [0, modulus). + * If x is zero, the result will be zero as well. If not, the inverse must exist (i.e., the gcd of + * x and modulus must be 1). These rules are automatically satisfied if the modulus is prime. + * + * On output, all of x's limbs will be in [0, 2^62). + */ +static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo); + +#endif /* SECP256K1_MODINV64_H */ diff --git a/secp256k1/modinv64_impl.h b/secp256k1/modinv64_impl.h new file mode 100644 index 00000000000..f97e4a169bd --- /dev/null +++ b/secp256k1/modinv64_impl.h @@ -0,0 +1,431 @@ +/*********************************************************************** + * Copyright (c) 2020 Peter Dettman * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + **********************************************************************/ + +#ifndef SECP256K1_MODINV64_IMPL_H +#define SECP256K1_MODINV64_IMPL_H + +#include "modinv64.h" + +#include "util.h" + +/* This file implements modular inversion based on the paper "Fast constant-time gcd computation and + * modular inversion" by Daniel J. Bernstein and Bo-Yin Yang. + * + * For an explanation of the algorithm, see doc/safegcd_implementation.md. This file contains an + * implementation for N=62, using 62-bit signed limbs represented as int64_t. + */ + +#ifdef VERIFY +/* Helper function to compute the absolute value of an int64_t. + * (we don't use abs/labs/llabs as it depends on the int sizes). */ +static int64_t secp256k1_modinv64_abs(int64_t v) { + VERIFY_CHECK(v > INT64_MIN); + if (v < 0) return -v; + return v; +} + +static const secp256k1_modinv64_signed62 SECP256K1_SIGNED62_ONE = {{1}}; + +/* Compute a*factor and put it in r. All but the top limb in r will be in range [0,2^62). */ +static void secp256k1_modinv64_mul_62(secp256k1_modinv64_signed62 *r, const secp256k1_modinv64_signed62 *a, int alen, int64_t factor) { + const int64_t M62 = (int64_t)(UINT64_MAX >> 2); + int128_t c = 0; + int i; + for (i = 0; i < 4; ++i) { + if (i < alen) c += (int128_t)a->v[i] * factor; + r->v[i] = (int64_t)c & M62; c >>= 62; + } + if (4 < alen) c += (int128_t)a->v[4] * factor; + VERIFY_CHECK(c == (int64_t)c); + r->v[4] = (int64_t)c; +} + +/* Return -1 for ab*factor. A has alen limbs; b has 5. */ +static int secp256k1_modinv64_mul_cmp_62(const secp256k1_modinv64_signed62 *a, int alen, const secp256k1_modinv64_signed62 *b, int64_t factor) { + int i; + secp256k1_modinv64_signed62 am, bm; + secp256k1_modinv64_mul_62(&am, a, alen, 1); /* Normalize all but the top limb of a. */ + secp256k1_modinv64_mul_62(&bm, b, 5, factor); + for (i = 0; i < 4; ++i) { + /* Verify that all but the top limb of a and b are normalized. */ + VERIFY_CHECK(am.v[i] >> 62 == 0); + VERIFY_CHECK(bm.v[i] >> 62 == 0); + } + for (i = 4; i >= 0; --i) { + if (am.v[i] < bm.v[i]) return -1; + if (am.v[i] > bm.v[i]) return 1; + } + return 0; +} +#endif + +/* Take as input a signed62 number in range (-2*modulus,modulus), and add a multiple of the modulus + * to it to bring it to range [0,modulus). If sign < 0, the input will also be negated in the + * process. The input must have limbs in range (-2^62,2^62). The output will have limbs in range + * [0,2^62). */ +static void secp256k1_modinv64_normalize_62(secp256k1_modinv64_signed62 *r, int64_t sign, const secp256k1_modinv64_modinfo *modinfo) { + const int64_t M62 = (int64_t)(UINT64_MAX >> 2); + int64_t r0 = r->v[0], r1 = r->v[1], r2 = r->v[2], r3 = r->v[3], r4 = r->v[4]; + int64_t cond_add, cond_negate; + +#ifdef VERIFY + /* Verify that all limbs are in range (-2^62,2^62). */ + int i; + for (i = 0; i < 5; ++i) { + VERIFY_CHECK(r->v[i] >= -M62); + VERIFY_CHECK(r->v[i] <= M62); + } + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, -2) > 0); /* r > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 1) < 0); /* r < modulus */ +#endif + + /* In a first step, add the modulus if the input is negative, and then negate if requested. + * This brings r from range (-2*modulus,modulus) to range (-modulus,modulus). As all input + * limbs are in range (-2^62,2^62), this cannot overflow an int64_t. Note that the right + * shifts below are signed sign-extending shifts (see assumptions.h for tests that that is + * indeed the behavior of the right shift operator). */ + cond_add = r4 >> 63; + r0 += modinfo->modulus.v[0] & cond_add; + r1 += modinfo->modulus.v[1] & cond_add; + r2 += modinfo->modulus.v[2] & cond_add; + r3 += modinfo->modulus.v[3] & cond_add; + r4 += modinfo->modulus.v[4] & cond_add; + cond_negate = sign >> 63; + r0 = (r0 ^ cond_negate) - cond_negate; + r1 = (r1 ^ cond_negate) - cond_negate; + r2 = (r2 ^ cond_negate) - cond_negate; + r3 = (r3 ^ cond_negate) - cond_negate; + r4 = (r4 ^ cond_negate) - cond_negate; + /* Propagate the top bits, to bring limbs back to range (-2^62,2^62). */ + r1 += r0 >> 62; r0 &= M62; + r2 += r1 >> 62; r1 &= M62; + r3 += r2 >> 62; r2 &= M62; + r4 += r3 >> 62; r3 &= M62; + + /* In a second step add the modulus again if the result is still negative, bringing + * r to range [0,modulus). */ + cond_add = r4 >> 63; + r0 += modinfo->modulus.v[0] & cond_add; + r1 += modinfo->modulus.v[1] & cond_add; + r2 += modinfo->modulus.v[2] & cond_add; + r3 += modinfo->modulus.v[3] & cond_add; + r4 += modinfo->modulus.v[4] & cond_add; + /* And propagate again. */ + r1 += r0 >> 62; r0 &= M62; + r2 += r1 >> 62; r1 &= M62; + r3 += r2 >> 62; r2 &= M62; + r4 += r3 >> 62; r3 &= M62; + + r->v[0] = r0; + r->v[1] = r1; + r->v[2] = r2; + r->v[3] = r3; + r->v[4] = r4; + +#ifdef VERIFY + VERIFY_CHECK(r0 >> 62 == 0); + VERIFY_CHECK(r1 >> 62 == 0); + VERIFY_CHECK(r2 >> 62 == 0); + VERIFY_CHECK(r3 >> 62 == 0); + VERIFY_CHECK(r4 >> 62 == 0); + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 0) >= 0); /* r >= 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(r, 5, &modinfo->modulus, 1) < 0); /* r < modulus */ +#endif +} + +/* Data type for transition matrices (see section 3 of explanation). + * + * t = [ u v ] + * [ q r ] + */ +typedef struct { + int64_t u, v, q, r; +} secp256k1_modinv64_trans2x2; + +/* Compute the transition matrix and eta for 62 divsteps (variable time, eta=-delta). + * + * Input: eta: initial eta + * f0: bottom limb of initial f + * g0: bottom limb of initial g + * Output: t: transition matrix + * Return: final eta + * + * Implements the divsteps_n_matrix_var function from the explanation. + */ +static int64_t secp256k1_modinv64_divsteps_62_var(int64_t eta, uint64_t f0, uint64_t g0, secp256k1_modinv64_trans2x2 *t) { + /* Transformation matrix; see comments in secp256k1_modinv64_divsteps_62. */ + uint64_t u = 1, v = 0, q = 0, r = 1; + uint64_t f = f0, g = g0, m; + uint32_t w; + int i = 62, limit, zeros; + + for (;;) { + /* Use a sentinel bit to count zeros only up to i. */ + zeros = secp256k1_ctz64_var(g | (UINT64_MAX << i)); + /* Perform zeros divsteps at once; they all just divide g by two. */ + g >>= zeros; + u <<= zeros; + v <<= zeros; + eta -= zeros; + i -= zeros; + /* We're done once we've done 62 divsteps. */ + if (i == 0) break; + VERIFY_CHECK((f & 1) == 1); + VERIFY_CHECK((g & 1) == 1); + VERIFY_CHECK((u * f0 + v * g0) == f << (62 - i)); + VERIFY_CHECK((q * f0 + r * g0) == g << (62 - i)); + /* Bounds on eta that follow from the bounds on iteration count (max 12*62 divsteps). */ + VERIFY_CHECK(eta >= -745 && eta <= 745); + /* If eta is negative, negate it and replace f,g with g,-f. */ + if (eta < 0) { + uint64_t tmp; + eta = -eta; + tmp = f; f = g; g = -tmp; + tmp = u; u = q; q = -tmp; + tmp = v; v = r; r = -tmp; + /* Use a formula to cancel out up to 6 bits of g. Also, no more than i can be cancelled + * out (as we'd be done before that point), and no more than eta+1 can be done as its + * will flip again once that happens. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + VERIFY_CHECK(limit > 0 && limit <= 62); + /* m is a mask for the bottom min(limit, 6) bits. */ + m = (UINT64_MAX >> (64 - limit)) & 63U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 6) + * bits. */ + w = (f * g * (f * f - 2)) & m; + } else { + /* In this branch, use a simpler formula that only lets us cancel up to 4 bits of g, as + * eta tends to be smaller here. */ + limit = ((int)eta + 1) > i ? i : ((int)eta + 1); + VERIFY_CHECK(limit > 0 && limit <= 62); + /* m is a mask for the bottom min(limit, 4) bits. */ + m = (UINT64_MAX >> (64 - limit)) & 15U; + /* Find what multiple of f must be added to g to cancel its bottom min(limit, 4) + * bits. */ + w = f + (((f + 1) & 4) << 1); + w = (-w * g) & m; + } + g += f * w; + q += u * w; + r += v * w; + VERIFY_CHECK((g & m) == 0); + } + /* Return data in t and return value. */ + t->u = (int64_t)u; + t->v = (int64_t)v; + t->q = (int64_t)q; + t->r = (int64_t)r; + /* The determinant of t must be a power of two. This guarantees that multiplication with t + * does not change the gcd of f and g, apart from adding a power-of-2 factor to it (which + * will be divided out again). As each divstep's individual matrix has determinant 2, the + * aggregate of 62 of them will have determinant 2^62. */ + VERIFY_CHECK((int128_t)t->u * t->r - (int128_t)t->v * t->q == ((int128_t)1) << 62); + return eta; +} + +/* Compute (t/2^62) * [d, e] mod modulus, where t is a transition matrix scaled by 2^62. + * + * On input and output, d and e are in range (-2*modulus,modulus). All output limbs will be in range + * (-2^62,2^62). + * + * This implements the update_de function from the explanation. + */ +static void secp256k1_modinv64_update_de_62(secp256k1_modinv64_signed62 *d, secp256k1_modinv64_signed62 *e, const secp256k1_modinv64_trans2x2 *t, const secp256k1_modinv64_modinfo* modinfo) { + const int64_t M62 = (int64_t)(UINT64_MAX >> 2); + const int64_t d0 = d->v[0], d1 = d->v[1], d2 = d->v[2], d3 = d->v[3], d4 = d->v[4]; + const int64_t e0 = e->v[0], e1 = e->v[1], e2 = e->v[2], e3 = e->v[3], e4 = e->v[4]; + const int64_t u = t->u, v = t->v, q = t->q, r = t->r; + int64_t md, me, sd, se; + int128_t cd, ce; +#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, 1) < 0); /* e < modulus */ + VERIFY_CHECK((secp256k1_modinv64_abs(u) + secp256k1_modinv64_abs(v)) >= 0); /* |u|+|v| doesn't overflow */ + VERIFY_CHECK((secp256k1_modinv64_abs(q) + secp256k1_modinv64_abs(r)) >= 0); /* |q|+|r| doesn't overflow */ + VERIFY_CHECK((secp256k1_modinv64_abs(u) + secp256k1_modinv64_abs(v)) <= M62 + 1); /* |u|+|v| <= 2^62 */ + VERIFY_CHECK((secp256k1_modinv64_abs(q) + secp256k1_modinv64_abs(r)) <= M62 + 1); /* |q|+|r| <= 2^62 */ +#endif + /* [md,me] start as zero; plus [u,q] if d is negative; plus [v,r] if e is negative. */ + sd = d4 >> 63; + se = e4 >> 63; + md = (u & sd) + (v & se); + me = (q & sd) + (r & se); + /* Begin computing t*[d,e]. */ + cd = (int128_t)u * d0 + (int128_t)v * e0; + ce = (int128_t)q * d0 + (int128_t)r * e0; + /* Correct md,me so that t*[d,e]+modulus*[md,me] has 62 zero bottom bits. */ + md -= (modinfo->modulus_inv62 * (uint64_t)cd + md) & M62; + me -= (modinfo->modulus_inv62 * (uint64_t)ce + me) & M62; + /* Update the beginning of computation for t*[d,e]+modulus*[md,me] now md,me are known. */ + cd += (int128_t)modinfo->modulus.v[0] * md; + ce += (int128_t)modinfo->modulus.v[0] * me; + /* Verify that the low 62 bits of the computation are indeed zero, and then throw them away. */ + VERIFY_CHECK(((int64_t)cd & M62) == 0); cd >>= 62; + VERIFY_CHECK(((int64_t)ce & M62) == 0); ce >>= 62; + /* Compute limb 1 of t*[d,e]+modulus*[md,me], and store it as output limb 0 (= down shift). */ + cd += (int128_t)u * d1 + (int128_t)v * e1; + ce += (int128_t)q * d1 + (int128_t)r * e1; + if (modinfo->modulus.v[1]) { /* Optimize for the case where limb of modulus is zero. */ + cd += (int128_t)modinfo->modulus.v[1] * md; + ce += (int128_t)modinfo->modulus.v[1] * me; + } + d->v[0] = (int64_t)cd & M62; cd >>= 62; + e->v[0] = (int64_t)ce & M62; ce >>= 62; + /* Compute limb 2 of t*[d,e]+modulus*[md,me], and store it as output limb 1. */ + cd += (int128_t)u * d2 + (int128_t)v * e2; + ce += (int128_t)q * d2 + (int128_t)r * e2; + if (modinfo->modulus.v[2]) { /* Optimize for the case where limb of modulus is zero. */ + cd += (int128_t)modinfo->modulus.v[2] * md; + ce += (int128_t)modinfo->modulus.v[2] * me; + } + d->v[1] = (int64_t)cd & M62; cd >>= 62; + e->v[1] = (int64_t)ce & M62; ce >>= 62; + /* Compute limb 3 of t*[d,e]+modulus*[md,me], and store it as output limb 2. */ + cd += (int128_t)u * d3 + (int128_t)v * e3; + ce += (int128_t)q * d3 + (int128_t)r * e3; + if (modinfo->modulus.v[3]) { /* Optimize for the case where limb of modulus is zero. */ + cd += (int128_t)modinfo->modulus.v[3] * md; + ce += (int128_t)modinfo->modulus.v[3] * me; + } + d->v[2] = (int64_t)cd & M62; cd >>= 62; + e->v[2] = (int64_t)ce & M62; ce >>= 62; + /* Compute limb 4 of t*[d,e]+modulus*[md,me], and store it as output limb 3. */ + cd += (int128_t)u * d4 + (int128_t)v * e4; + ce += (int128_t)q * d4 + (int128_t)r * e4; + cd += (int128_t)modinfo->modulus.v[4] * md; + ce += (int128_t)modinfo->modulus.v[4] * me; + d->v[3] = (int64_t)cd & M62; cd >>= 62; + e->v[3] = (int64_t)ce & M62; ce >>= 62; + /* What remains is limb 5 of t*[d,e]+modulus*[md,me]; store it as output limb 4. */ + d->v[4] = (int64_t)cd; + e->v[4] = (int64_t)ce; +#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, -2) > 0); /* d > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(d, 5, &modinfo->modulus, 1) < 0); /* d < modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, -2) > 0); /* e > -2*modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(e, 5, &modinfo->modulus, 1) < 0); /* e < modulus */ +#endif +} + +/* Compute (t/2^62) * [f, g], where t is a transition matrix for 62 divsteps. + * + * Version that operates on a variable number of limbs in f and g. + * + * This implements the update_fg function from the explanation. + */ +static void secp256k1_modinv64_update_fg_62_var(int len, secp256k1_modinv64_signed62 *f, secp256k1_modinv64_signed62 *g, const secp256k1_modinv64_trans2x2 *t) { + const int64_t M62 = (int64_t)(UINT64_MAX >> 2); + const int64_t u = t->u, v = t->v, q = t->q, r = t->r; + int64_t fi, gi; + int128_t cf, cg; + int i; + VERIFY_CHECK(len > 0); + /* Start computing t*[f,g]. */ + fi = f->v[0]; + gi = g->v[0]; + cf = (int128_t)u * fi + (int128_t)v * gi; + cg = (int128_t)q * fi + (int128_t)r * gi; + /* Verify that the bottom 62 bits of the result are zero, and then throw them away. */ + VERIFY_CHECK(((int64_t)cf & M62) == 0); cf >>= 62; + VERIFY_CHECK(((int64_t)cg & M62) == 0); cg >>= 62; + /* Now iteratively compute limb i=1..len of t*[f,g], and store them in output limb i-1 (shifting + * down by 62 bits). */ + for (i = 1; i < len; ++i) { + fi = f->v[i]; + gi = g->v[i]; + cf += (int128_t)u * fi + (int128_t)v * gi; + cg += (int128_t)q * fi + (int128_t)r * gi; + f->v[i - 1] = (int64_t)cf & M62; cf >>= 62; + g->v[i - 1] = (int64_t)cg & M62; cg >>= 62; + } + /* What remains is limb (len) of t*[f,g]; store it as output limb (len-1). */ + f->v[len - 1] = (int64_t)cf; + g->v[len - 1] = (int64_t)cg; +} + +/* Compute the inverse of x modulo modinfo->modulus, and replace x with it (variable time). */ +static void secp256k1_modinv64_var(secp256k1_modinv64_signed62 *x, const secp256k1_modinv64_modinfo *modinfo) { + /* Start with d=0, e=1, f=modulus, g=x, eta=-1. */ + secp256k1_modinv64_signed62 d = {{0, 0, 0, 0, 0}}; + secp256k1_modinv64_signed62 e = {{1, 0, 0, 0, 0}}; + secp256k1_modinv64_signed62 f = modinfo->modulus; + secp256k1_modinv64_signed62 g = *x; +#ifdef VERIFY + int i = 0; +#endif + int j, len = 5; + int64_t eta = -1; /* eta = -delta; delta is initially 1 */ + int64_t cond, fn, gn; + + /* Do iterations of 62 divsteps each until g=0. */ + while (1) { + /* Compute transition matrix and new eta after 62 divsteps. */ + secp256k1_modinv64_trans2x2 t; + eta = secp256k1_modinv64_divsteps_62_var(eta, f.v[0], g.v[0], &t); + /* Update d,e using that transition matrix. */ + secp256k1_modinv64_update_de_62(&d, &e, &t, modinfo); + /* Update f,g using that transition matrix. */ +#ifdef VERIFY + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ +#endif + secp256k1_modinv64_update_fg_62_var(len, &f, &g, &t); + /* If the bottom limb of g is zero, there is a chance that g=0. */ + if (g.v[0] == 0) { + cond = 0; + /* Check if the other limbs are also 0. */ + for (j = 1; j < len; ++j) { + cond |= g.v[j]; + } + /* If so, we're done. */ + if (cond == 0) break; + } + + /* Determine if len>1 and limb (len-1) of both f and g is 0 or -1. */ + fn = f.v[len - 1]; + gn = g.v[len - 1]; + cond = ((int64_t)len - 2) >> 63; + cond |= fn ^ (fn >> 63); + cond |= gn ^ (gn >> 63); + /* If so, reduce length, propagating the sign of f and g's top limb into the one below. */ + if (cond == 0) { + f.v[len - 2] |= (uint64_t)fn << 62; + g.v[len - 2] |= (uint64_t)gn << 62; + --len; + } +#ifdef VERIFY + VERIFY_CHECK(++i < 12); /* We should never need more than 12*62 = 744 divsteps */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) > 0); /* f > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) <= 0); /* f <= modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, -1) > 0); /* g > -modulus */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &modinfo->modulus, 1) < 0); /* g < modulus */ +#endif + } + + /* At this point g is 0 and (if g was not originally 0) f must now equal +/- GCD of + * the initial f, g values i.e. +/- 1, and d now contains +/- the modular inverse. */ +#ifdef VERIFY + /* g == 0 */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&g, len, &SECP256K1_SIGNED62_ONE, 0) == 0); + /* |f| == 1, or (x == 0 and d == 0 and |f|=modulus) */ + VERIFY_CHECK(secp256k1_modinv64_mul_cmp_62(&f, len, &SECP256K1_SIGNED62_ONE, -1) == 0 || + secp256k1_modinv64_mul_cmp_62(&f, len, &SECP256K1_SIGNED62_ONE, 1) == 0 || + (secp256k1_modinv64_mul_cmp_62(x, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 && + secp256k1_modinv64_mul_cmp_62(&d, 5, &SECP256K1_SIGNED62_ONE, 0) == 0 && + (secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, 1) == 0 || + secp256k1_modinv64_mul_cmp_62(&f, len, &modinfo->modulus, -1) == 0))); +#endif + + /* Optionally negate d, normalize to [0,modulus), and return it. */ + secp256k1_modinv64_normalize_62(&d, f.v[len - 1], modinfo); + *x = d; +} + +#endif /* SECP256K1_MODINV64_IMPL_H */ diff --git a/secp256k1/scalar.h b/secp256k1/scalar.h new file mode 100644 index 00000000000..b89be821e2a --- /dev/null +++ b/secp256k1/scalar.h @@ -0,0 +1,90 @@ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_SCALAR_H +#define SECP256K1_SCALAR_H + +#include "util.h" + +#if defined(SECP256K1_WIDEMUL_INT128) +#include "scalar_4x64.h" +#elif defined(SECP256K1_WIDEMUL_INT64) +#include "scalar_8x32.h" +#else +#error "Please select wide multiplication implementation" +#endif + +/** Clear a scalar to prevent the leak of sensitive data. */ +static void secp256k1_scalar_clear(secp256k1_scalar *r); + +#if 0 +/** Access bits from a scalar. Not constant time. */ +static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count); +#endif + +/** Set a scalar from a big endian byte array. The scalar will be reduced modulo group order `n`. + * In: bin: pointer to a 32-byte array. + * Out: r: scalar to be set. + * overflow: non-zero if the scalar was bigger or equal to `n` before reduction, zero otherwise (can be NULL). + */ +static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *bin, int *overflow); + +#if 0 +/** Set a scalar to an unsigned integer. */ +static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v); +#endif + +/** Convert a scalar to a byte array. */ +static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a); + +/** Add two scalars together (modulo the group order). Returns whether it overflowed. */ +static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b); + +/** Conditionally add a power of two to a scalar. The result is not allowed to overflow. */ +static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag); + +/** Multiply two scalars (modulo the group order). */ +static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b); + +#if 0 +/** Shift a scalar right by some amount strictly between 0 and 16, returning + * the low bits that were shifted off */ +static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n); +#endif + +/** Compute the inverse of a scalar (modulo the group order), without constant-time guarantee. */ +static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *a); + +/** Compute the complement of a scalar (modulo the group order). */ +static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a); + +/** Check whether a scalar equals zero. */ +static int secp256k1_scalar_is_zero(const secp256k1_scalar *a); + +#if 0 +/** Check whether a scalar equals one. */ +static int secp256k1_scalar_is_one(const secp256k1_scalar *a); + +/** Check whether a scalar, considered as an nonnegative integer, is even. */ +static int secp256k1_scalar_is_even(const secp256k1_scalar *a); + +/** Check whether a scalar is higher than the group order divided by 2. */ +static int secp256k1_scalar_is_high(const secp256k1_scalar *a); + +/** Compare two scalars. */ +static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b); +#endif + +/** Find r1 and r2 such that r1+r2*2^128 = k. */ +static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k); +/** Find r1 and r2 such that r1+r2*lambda = k, + * where r1 and r2 or their negations are maximum 128 bits long (see secp256k1_ge_mul_lambda). */ +static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k); + +/** Multiply a and b (without taking the modulus!), divide by 2**shift, and round to the nearest integer. Shift must be at least 256. */ +static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b, unsigned int shift); + +#endif /* SECP256K1_SCALAR_H */ diff --git a/secp256k1/scalar_4x64.h b/secp256k1/scalar_4x64.h new file mode 100644 index 00000000000..700964291ee --- /dev/null +++ b/secp256k1/scalar_4x64.h @@ -0,0 +1,19 @@ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_SCALAR_REPR_H +#define SECP256K1_SCALAR_REPR_H + +#include + +/** A scalar modulo the group order of the secp256k1 curve. */ +typedef struct { + uint64_t d[4]; +} secp256k1_scalar; + +#define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {{((uint64_t)(d1)) << 32 | (d0), ((uint64_t)(d3)) << 32 | (d2), ((uint64_t)(d5)) << 32 | (d4), ((uint64_t)(d7)) << 32 | (d6)}} + +#endif /* SECP256K1_SCALAR_REPR_H */ diff --git a/secp256k1/scalar_4x64_impl.h b/secp256k1/scalar_4x64_impl.h new file mode 100644 index 00000000000..4fb6548cc60 --- /dev/null +++ b/secp256k1/scalar_4x64_impl.h @@ -0,0 +1,466 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_SCALAR_REPR_IMPL_H +#define SECP256K1_SCALAR_REPR_IMPL_H + +#include "modinv64_impl.h" + +/* Limbs of the secp256k1 order. */ +#define SECP256K1_N_0 ((uint64_t)0xBFD25E8CD0364141ULL) +#define SECP256K1_N_1 ((uint64_t)0xBAAEDCE6AF48A03BULL) +#define SECP256K1_N_2 ((uint64_t)0xFFFFFFFFFFFFFFFEULL) +#define SECP256K1_N_3 ((uint64_t)0xFFFFFFFFFFFFFFFFULL) + +/* Limbs of 2^256 minus the secp256k1 order. */ +#define SECP256K1_N_C_0 (~SECP256K1_N_0 + 1) +#define SECP256K1_N_C_1 (~SECP256K1_N_1) +#define SECP256K1_N_C_2 (1) + +/* Limbs of half the secp256k1 order. */ +#define SECP256K1_N_H_0 ((uint64_t)0xDFE92F46681B20A0ULL) +#define SECP256K1_N_H_1 ((uint64_t)0x5D576E7357A4501DULL) +#define SECP256K1_N_H_2 ((uint64_t)0xFFFFFFFFFFFFFFFFULL) +#define SECP256K1_N_H_3 ((uint64_t)0x7FFFFFFFFFFFFFFFULL) + +SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { + r->d[0] = 0; + r->d[1] = 0; + r->d[2] = 0; + r->d[3] = 0; +} + +#if 0 +SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { + r->d[0] = v; + r->d[1] = 0; + r->d[2] = 0; + r->d[3] = 0; +} +#endif + +SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + VERIFY_CHECK((offset + count - 1) >> 6 == offset >> 6); + return (a->d[offset >> 6] >> (offset & 0x3F)) & ((((uint64_t)1) << count) - 1); +} + +SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + VERIFY_CHECK(count < 32); + VERIFY_CHECK(offset + count <= 256); + if ((offset + count - 1) >> 6 == offset >> 6) { + return secp256k1_scalar_get_bits(a, offset, count); + } else { + VERIFY_CHECK((offset >> 6) + 1 < 4); + return ((a->d[offset >> 6] >> (offset & 0x3F)) | (a->d[(offset >> 6) + 1] << (64 - (offset & 0x3F)))) & ((((uint64_t)1) << count) - 1); + } +} + +SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scalar *a) { + int yes = 0; + int no = 0; + no |= (a->d[3] < SECP256K1_N_3); /* No need for a > check. */ + no |= (a->d[2] < SECP256K1_N_2); + yes |= (a->d[2] > SECP256K1_N_2) & ~no; + no |= (a->d[1] < SECP256K1_N_1); + yes |= (a->d[1] > SECP256K1_N_1) & ~no; + yes |= (a->d[0] >= SECP256K1_N_0) & ~no; + return yes; +} + +SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, unsigned int overflow) { + uint128_t t; + VERIFY_CHECK(overflow <= 1); + t = (uint128_t)r->d[0] + overflow * SECP256K1_N_C_0; + r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; + t += (uint128_t)r->d[1] + overflow * SECP256K1_N_C_1; + r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; + t += (uint128_t)r->d[2] + overflow * SECP256K1_N_C_2; + r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; + t += (uint64_t)r->d[3]; + r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL; + return overflow; +} + +static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { + int overflow; + uint128_t t = (uint128_t)a->d[0] + b->d[0]; + r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; + t += (uint128_t)a->d[1] + b->d[1]; + r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; + t += (uint128_t)a->d[2] + b->d[2]; + r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; + t += (uint128_t)a->d[3] + b->d[3]; + r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; + overflow = t + secp256k1_scalar_check_overflow(r); + VERIFY_CHECK(overflow == 0 || overflow == 1); + secp256k1_scalar_reduce(r, overflow); + return overflow; +} + +static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { + uint128_t t; + VERIFY_CHECK(bit < 256); + bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 6) > 3 makes this a noop */ + t = (uint128_t)r->d[0] + (((uint64_t)((bit >> 6) == 0)) << (bit & 0x3F)); + r->d[0] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; + t += (uint128_t)r->d[1] + (((uint64_t)((bit >> 6) == 1)) << (bit & 0x3F)); + r->d[1] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; + t += (uint128_t)r->d[2] + (((uint64_t)((bit >> 6) == 2)) << (bit & 0x3F)); + r->d[2] = t & 0xFFFFFFFFFFFFFFFFULL; t >>= 64; + t += (uint128_t)r->d[3] + (((uint64_t)((bit >> 6) == 3)) << (bit & 0x3F)); + r->d[3] = t & 0xFFFFFFFFFFFFFFFFULL; +#ifdef VERIFY + VERIFY_CHECK((t >> 64) == 0); + VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); +#endif +} + +static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { + int over; + r->d[0] = (uint64_t)b32[31] | (uint64_t)b32[30] << 8 | (uint64_t)b32[29] << 16 | (uint64_t)b32[28] << 24 | (uint64_t)b32[27] << 32 | (uint64_t)b32[26] << 40 | (uint64_t)b32[25] << 48 | (uint64_t)b32[24] << 56; + r->d[1] = (uint64_t)b32[23] | (uint64_t)b32[22] << 8 | (uint64_t)b32[21] << 16 | (uint64_t)b32[20] << 24 | (uint64_t)b32[19] << 32 | (uint64_t)b32[18] << 40 | (uint64_t)b32[17] << 48 | (uint64_t)b32[16] << 56; + r->d[2] = (uint64_t)b32[15] | (uint64_t)b32[14] << 8 | (uint64_t)b32[13] << 16 | (uint64_t)b32[12] << 24 | (uint64_t)b32[11] << 32 | (uint64_t)b32[10] << 40 | (uint64_t)b32[9] << 48 | (uint64_t)b32[8] << 56; + r->d[3] = (uint64_t)b32[7] | (uint64_t)b32[6] << 8 | (uint64_t)b32[5] << 16 | (uint64_t)b32[4] << 24 | (uint64_t)b32[3] << 32 | (uint64_t)b32[2] << 40 | (uint64_t)b32[1] << 48 | (uint64_t)b32[0] << 56; + over = secp256k1_scalar_reduce(r, secp256k1_scalar_check_overflow(r)); + if (overflow) { + *overflow = over; + } +} + +static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { + bin[0] = a->d[3] >> 56; bin[1] = a->d[3] >> 48; bin[2] = a->d[3] >> 40; bin[3] = a->d[3] >> 32; bin[4] = a->d[3] >> 24; bin[5] = a->d[3] >> 16; bin[6] = a->d[3] >> 8; bin[7] = a->d[3]; + bin[8] = a->d[2] >> 56; bin[9] = a->d[2] >> 48; bin[10] = a->d[2] >> 40; bin[11] = a->d[2] >> 32; bin[12] = a->d[2] >> 24; bin[13] = a->d[2] >> 16; bin[14] = a->d[2] >> 8; bin[15] = a->d[2]; + bin[16] = a->d[1] >> 56; bin[17] = a->d[1] >> 48; bin[18] = a->d[1] >> 40; bin[19] = a->d[1] >> 32; bin[20] = a->d[1] >> 24; bin[21] = a->d[1] >> 16; bin[22] = a->d[1] >> 8; bin[23] = a->d[1]; + bin[24] = a->d[0] >> 56; bin[25] = a->d[0] >> 48; bin[26] = a->d[0] >> 40; bin[27] = a->d[0] >> 32; bin[28] = a->d[0] >> 24; bin[29] = a->d[0] >> 16; bin[30] = a->d[0] >> 8; bin[31] = a->d[0]; +} + +SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { + return (a->d[0] | a->d[1] | a->d[2] | a->d[3]) == 0; +} + +static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { + uint64_t nonzero = 0xFFFFFFFFFFFFFFFFULL * (secp256k1_scalar_is_zero(a) == 0); + uint128_t t = (uint128_t)(~a->d[0]) + SECP256K1_N_0 + 1; + r->d[0] = t & nonzero; t >>= 64; + t += (uint128_t)(~a->d[1]) + SECP256K1_N_1; + r->d[1] = t & nonzero; t >>= 64; + t += (uint128_t)(~a->d[2]) + SECP256K1_N_2; + r->d[2] = t & nonzero; t >>= 64; + t += (uint128_t)(~a->d[3]) + SECP256K1_N_3; + r->d[3] = t & nonzero; +} + +#if 0 +SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { + return ((a->d[0] ^ 1) | a->d[1] | a->d[2] | a->d[3]) == 0; +} + +static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { + int yes = 0; + int no = 0; + no |= (a->d[3] < SECP256K1_N_H_3); + yes |= (a->d[3] > SECP256K1_N_H_3) & ~no; + no |= (a->d[2] < SECP256K1_N_H_2) & ~yes; /* No need for a > check. */ + no |= (a->d[1] < SECP256K1_N_H_1) & ~yes; + yes |= (a->d[1] > SECP256K1_N_H_1) & ~no; + yes |= (a->d[0] > SECP256K1_N_H_0) & ~no; + return yes; +} +#endif + +/* Inspired by the macros in OpenSSL's crypto/bn/asm/x86_64-gcc.c. */ + +/** Add a*b to the number defined by (c0,c1,c2). c2 must never overflow. */ +#define muladd(a,b) { \ + uint64_t tl, th; \ + { \ + uint128_t t = (uint128_t)a * b; \ + th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \ + tl = t; \ + } \ + c0 += tl; /* overflow is handled on the next line */ \ + th += (c0 < tl); /* at most 0xFFFFFFFFFFFFFFFF */ \ + c1 += th; /* overflow is handled on the next line */ \ + c2 += (c1 < th); /* never overflows by contract (verified in the next line) */ \ + VERIFY_CHECK((c1 >= th) || (c2 != 0)); \ +} + +/** Add a*b to the number defined by (c0,c1). c1 must never overflow. */ +#define muladd_fast(a,b) { \ + uint64_t tl, th; \ + { \ + uint128_t t = (uint128_t)a * b; \ + th = t >> 64; /* at most 0xFFFFFFFFFFFFFFFE */ \ + tl = t; \ + } \ + c0 += tl; /* overflow is handled on the next line */ \ + th += (c0 < tl); /* at most 0xFFFFFFFFFFFFFFFF */ \ + c1 += th; /* never overflows by contract (verified in the next line) */ \ + VERIFY_CHECK(c1 >= th); \ +} + +/** Add a to the number defined by (c0,c1,c2). c2 must never overflow. */ +#define sumadd(a) { \ + unsigned int over; \ + c0 += (a); /* overflow is handled on the next line */ \ + over = (c0 < (a)); \ + c1 += over; /* overflow is handled on the next line */ \ + c2 += (c1 < over); /* never overflows by contract */ \ +} + +/** Add a to the number defined by (c0,c1). c1 must never overflow, c2 must be zero. */ +#define sumadd_fast(a) { \ + c0 += (a); /* overflow is handled on the next line */ \ + c1 += (c0 < (a)); /* never overflows by contract (verified the next line) */ \ + VERIFY_CHECK((c1 != 0) | (c0 >= (a))); \ + VERIFY_CHECK(c2 == 0); \ +} + +/** Extract the lowest 64 bits of (c0,c1,c2) into n, and left shift the number 64 bits. */ +#define extract(n) { \ + (n) = c0; \ + c0 = c1; \ + c1 = c2; \ + c2 = 0; \ +} + +/** Extract the lowest 64 bits of (c0,c1,c2) into n, and left shift the number 64 bits. c2 is required to be zero. */ +#define extract_fast(n) { \ + (n) = c0; \ + c0 = c1; \ + c1 = 0; \ + VERIFY_CHECK(c2 == 0); \ +} + +static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint64_t *l) { + uint128_t c; + uint64_t c0, c1, c2; + uint64_t n0 = l[4], n1 = l[5], n2 = l[6], n3 = l[7]; + uint64_t m0, m1, m2, m3, m4, m5; + uint32_t m6; + uint64_t p0, p1, p2, p3; + uint32_t p4; + + /* Reduce 512 bits into 385. */ + /* m[0..6] = l[0..3] + n[0..3] * SECP256K1_N_C. */ + c0 = l[0]; c1 = 0; c2 = 0; + muladd_fast(n0, SECP256K1_N_C_0); + extract_fast(m0); + sumadd_fast(l[1]); + muladd(n1, SECP256K1_N_C_0); + muladd(n0, SECP256K1_N_C_1); + extract(m1); + sumadd(l[2]); + muladd(n2, SECP256K1_N_C_0); + muladd(n1, SECP256K1_N_C_1); + sumadd(n0); + extract(m2); + sumadd(l[3]); + muladd(n3, SECP256K1_N_C_0); + muladd(n2, SECP256K1_N_C_1); + sumadd(n1); + extract(m3); + muladd(n3, SECP256K1_N_C_1); + sumadd(n2); + extract(m4); + sumadd_fast(n3); + extract_fast(m5); + VERIFY_CHECK(c0 <= 1); + m6 = c0; + + /* Reduce 385 bits into 258. */ + /* p[0..4] = m[0..3] + m[4..6] * SECP256K1_N_C. */ + c0 = m0; c1 = 0; c2 = 0; + muladd_fast(m4, SECP256K1_N_C_0); + extract_fast(p0); + sumadd_fast(m1); + muladd(m5, SECP256K1_N_C_0); + muladd(m4, SECP256K1_N_C_1); + extract(p1); + sumadd(m2); + muladd(m6, SECP256K1_N_C_0); + muladd(m5, SECP256K1_N_C_1); + sumadd(m4); + extract(p2); + sumadd_fast(m3); + muladd_fast(m6, SECP256K1_N_C_1); + sumadd_fast(m5); + extract_fast(p3); + p4 = c0 + m6; + VERIFY_CHECK(p4 <= 2); + + /* Reduce 258 bits into 256. */ + /* r[0..3] = p[0..3] + p[4] * SECP256K1_N_C. */ + c = p0 + (uint128_t)SECP256K1_N_C_0 * p4; + r->d[0] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; + c += p1 + (uint128_t)SECP256K1_N_C_1 * p4; + r->d[1] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; + c += p2 + (uint128_t)p4; + r->d[2] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; + c += p3; + r->d[3] = c & 0xFFFFFFFFFFFFFFFFULL; c >>= 64; + + /* Final reduction of r. */ + secp256k1_scalar_reduce(r, c + secp256k1_scalar_check_overflow(r)); +} + +static void secp256k1_scalar_mul_512(uint64_t l[8], const secp256k1_scalar *a, const secp256k1_scalar *b) { + /* 160 bit accumulator. */ + uint64_t c0 = 0, c1 = 0; + uint32_t c2 = 0; + + /* l[0..7] = a[0..3] * b[0..3]. */ + muladd_fast(a->d[0], b->d[0]); + extract_fast(l[0]); + muladd(a->d[0], b->d[1]); + muladd(a->d[1], b->d[0]); + extract(l[1]); + muladd(a->d[0], b->d[2]); + muladd(a->d[1], b->d[1]); + muladd(a->d[2], b->d[0]); + extract(l[2]); + muladd(a->d[0], b->d[3]); + muladd(a->d[1], b->d[2]); + muladd(a->d[2], b->d[1]); + muladd(a->d[3], b->d[0]); + extract(l[3]); + muladd(a->d[1], b->d[3]); + muladd(a->d[2], b->d[2]); + muladd(a->d[3], b->d[1]); + extract(l[4]); + muladd(a->d[2], b->d[3]); + muladd(a->d[3], b->d[2]); + extract(l[5]); + muladd_fast(a->d[3], b->d[3]); + extract_fast(l[6]); + VERIFY_CHECK(c1 == 0); + l[7] = c0; +} + +#undef sumadd +#undef sumadd_fast +#undef muladd +#undef muladd_fast +#undef extract +#undef extract_fast + +static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { + uint64_t l[8]; + secp256k1_scalar_mul_512(l, a, b); + secp256k1_scalar_reduce_512(r, l); +} + +#if 0 +static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { + int ret; + VERIFY_CHECK(n > 0); + VERIFY_CHECK(n < 16); + ret = r->d[0] & ((1 << n) - 1); + r->d[0] = (r->d[0] >> n) + (r->d[1] << (64 - n)); + r->d[1] = (r->d[1] >> n) + (r->d[2] << (64 - n)); + r->d[2] = (r->d[2] >> n) + (r->d[3] << (64 - n)); + r->d[3] = (r->d[3] >> n); + return ret; +} +#endif + +static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) { + r1->d[0] = k->d[0]; + r1->d[1] = k->d[1]; + r1->d[2] = 0; + r1->d[3] = 0; + r2->d[0] = k->d[2]; + r2->d[1] = k->d[3]; + r2->d[2] = 0; + r2->d[3] = 0; +} + +#if 0 +SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { + return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3])) == 0; +} +#endif + +SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b, unsigned int shift) { + uint64_t l[8]; + unsigned int shiftlimbs; + unsigned int shiftlow; + unsigned int shifthigh; + VERIFY_CHECK(shift >= 256); + secp256k1_scalar_mul_512(l, a, b); + shiftlimbs = shift >> 6; + shiftlow = shift & 0x3F; + shifthigh = 64 - shiftlow; + r->d[0] = shift < 512 ? (l[0 + shiftlimbs] >> shiftlow | (shift < 448 && shiftlow ? (l[1 + shiftlimbs] << shifthigh) : 0)) : 0; + r->d[1] = shift < 448 ? (l[1 + shiftlimbs] >> shiftlow | (shift < 384 && shiftlow ? (l[2 + shiftlimbs] << shifthigh) : 0)) : 0; + r->d[2] = shift < 384 ? (l[2 + shiftlimbs] >> shiftlow | (shift < 320 && shiftlow ? (l[3 + shiftlimbs] << shifthigh) : 0)) : 0; + r->d[3] = shift < 320 ? (l[3 + shiftlimbs] >> shiftlow) : 0; + secp256k1_scalar_cadd_bit(r, 0, (l[(shift - 1) >> 6] >> ((shift - 1) & 0x3f)) & 1); +} + +static void secp256k1_scalar_from_signed62(secp256k1_scalar *r, const secp256k1_modinv64_signed62 *a) { + const uint64_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4]; + + /* The output from secp256k1_modinv64{_var} should be normalized to range [0,modulus), and + * have limbs in [0,2^62). The modulus is < 2^256, so the top limb must be below 2^(256-62*4). + */ + VERIFY_CHECK(a0 >> 62 == 0); + VERIFY_CHECK(a1 >> 62 == 0); + VERIFY_CHECK(a2 >> 62 == 0); + VERIFY_CHECK(a3 >> 62 == 0); + VERIFY_CHECK(a4 >> 8 == 0); + + r->d[0] = a0 | a1 << 62; + r->d[1] = a1 >> 2 | a2 << 60; + r->d[2] = a2 >> 4 | a3 << 58; + r->d[3] = a3 >> 6 | a4 << 56; + +#ifdef VERIFY + VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); +#endif +} + +static void secp256k1_scalar_to_signed62(secp256k1_modinv64_signed62 *r, const secp256k1_scalar *a) { + const uint64_t M62 = UINT64_MAX >> 2; + const uint64_t a0 = a->d[0], a1 = a->d[1], a2 = a->d[2], a3 = a->d[3]; + +#ifdef VERIFY + VERIFY_CHECK(secp256k1_scalar_check_overflow(a) == 0); +#endif + + r->v[0] = a0 & M62; + r->v[1] = (a0 >> 62 | a1 << 2) & M62; + r->v[2] = (a1 >> 60 | a2 << 4) & M62; + r->v[3] = (a2 >> 58 | a3 << 6) & M62; + r->v[4] = a3 >> 56; +} + +static const secp256k1_modinv64_modinfo secp256k1_const_modinfo_scalar = { + {{0x3FD25E8CD0364141LL, 0x2ABB739ABD2280EELL, -0x15LL, 0, 256}}, + 0x34F20099AA774EC1LL +}; + +static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { + secp256k1_modinv64_signed62 s; +#ifdef VERIFY + int zero_in = secp256k1_scalar_is_zero(x); +#endif + secp256k1_scalar_to_signed62(&s, x); + secp256k1_modinv64_var(&s, &secp256k1_const_modinfo_scalar); + secp256k1_scalar_from_signed62(r, &s); + +#ifdef VERIFY + VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in); +#endif +} + +#if 0 +SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { + return !(a->d[0] & 1); +} +#endif + +#endif /* SECP256K1_SCALAR_REPR_IMPL_H */ diff --git a/secp256k1/scalar_8x32.h b/secp256k1/scalar_8x32.h new file mode 100644 index 00000000000..17863ef9371 --- /dev/null +++ b/secp256k1/scalar_8x32.h @@ -0,0 +1,19 @@ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_SCALAR_REPR_H +#define SECP256K1_SCALAR_REPR_H + +#include + +/** A scalar modulo the group order of the secp256k1 curve. */ +typedef struct { + uint32_t d[8]; +} secp256k1_scalar; + +#define SECP256K1_SCALAR_CONST(d7, d6, d5, d4, d3, d2, d1, d0) {{(d0), (d1), (d2), (d3), (d4), (d5), (d6), (d7)}} + +#endif /* SECP256K1_SCALAR_REPR_H */ diff --git a/secp256k1/scalar_8x32_impl.h b/secp256k1/scalar_8x32_impl.h new file mode 100644 index 00000000000..6d66333bd52 --- /dev/null +++ b/secp256k1/scalar_8x32_impl.h @@ -0,0 +1,691 @@ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_SCALAR_REPR_IMPL_H +#define SECP256K1_SCALAR_REPR_IMPL_H + +#include "modinv32_impl.h" + +/* Limbs of the secp256k1 order. */ +#define SECP256K1_N_0 ((uint32_t)0xD0364141UL) +#define SECP256K1_N_1 ((uint32_t)0xBFD25E8CUL) +#define SECP256K1_N_2 ((uint32_t)0xAF48A03BUL) +#define SECP256K1_N_3 ((uint32_t)0xBAAEDCE6UL) +#define SECP256K1_N_4 ((uint32_t)0xFFFFFFFEUL) +#define SECP256K1_N_5 ((uint32_t)0xFFFFFFFFUL) +#define SECP256K1_N_6 ((uint32_t)0xFFFFFFFFUL) +#define SECP256K1_N_7 ((uint32_t)0xFFFFFFFFUL) + +/* Limbs of 2^256 minus the secp256k1 order. */ +#define SECP256K1_N_C_0 (~SECP256K1_N_0 + 1) +#define SECP256K1_N_C_1 (~SECP256K1_N_1) +#define SECP256K1_N_C_2 (~SECP256K1_N_2) +#define SECP256K1_N_C_3 (~SECP256K1_N_3) +#define SECP256K1_N_C_4 (1) + +/* Limbs of half the secp256k1 order. */ +#define SECP256K1_N_H_0 ((uint32_t)0x681B20A0UL) +#define SECP256K1_N_H_1 ((uint32_t)0xDFE92F46UL) +#define SECP256K1_N_H_2 ((uint32_t)0x57A4501DUL) +#define SECP256K1_N_H_3 ((uint32_t)0x5D576E73UL) +#define SECP256K1_N_H_4 ((uint32_t)0xFFFFFFFFUL) +#define SECP256K1_N_H_5 ((uint32_t)0xFFFFFFFFUL) +#define SECP256K1_N_H_6 ((uint32_t)0xFFFFFFFFUL) +#define SECP256K1_N_H_7 ((uint32_t)0x7FFFFFFFUL) + +SECP256K1_INLINE static void secp256k1_scalar_clear(secp256k1_scalar *r) { + r->d[0] = 0; + r->d[1] = 0; + r->d[2] = 0; + r->d[3] = 0; + r->d[4] = 0; + r->d[5] = 0; + r->d[6] = 0; + r->d[7] = 0; +} + +#if 0 +SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { + r->d[0] = v; + r->d[1] = 0; + r->d[2] = 0; + r->d[3] = 0; + r->d[4] = 0; + r->d[5] = 0; + r->d[6] = 0; + r->d[7] = 0; +} +#endif + +SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + VERIFY_CHECK((offset + count - 1) >> 5 == offset >> 5); + return (a->d[offset >> 5] >> (offset & 0x1F)) & ((1 << count) - 1); +} + +SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) { + VERIFY_CHECK(count < 32); + VERIFY_CHECK(offset + count <= 256); + if ((offset + count - 1) >> 5 == offset >> 5) { + return secp256k1_scalar_get_bits(a, offset, count); + } else { + VERIFY_CHECK((offset >> 5) + 1 < 8); + return ((a->d[offset >> 5] >> (offset & 0x1F)) | (a->d[(offset >> 5) + 1] << (32 - (offset & 0x1F)))) & ((((uint32_t)1) << count) - 1); + } +} + +SECP256K1_INLINE static int secp256k1_scalar_check_overflow(const secp256k1_scalar *a) { + int yes = 0; + int no = 0; + no |= (a->d[7] < SECP256K1_N_7); /* No need for a > check. */ + no |= (a->d[6] < SECP256K1_N_6); /* No need for a > check. */ + no |= (a->d[5] < SECP256K1_N_5); /* No need for a > check. */ + no |= (a->d[4] < SECP256K1_N_4); + yes |= (a->d[4] > SECP256K1_N_4) & ~no; + no |= (a->d[3] < SECP256K1_N_3) & ~yes; + yes |= (a->d[3] > SECP256K1_N_3) & ~no; + no |= (a->d[2] < SECP256K1_N_2) & ~yes; + yes |= (a->d[2] > SECP256K1_N_2) & ~no; + no |= (a->d[1] < SECP256K1_N_1) & ~yes; + yes |= (a->d[1] > SECP256K1_N_1) & ~no; + yes |= (a->d[0] >= SECP256K1_N_0) & ~no; + return yes; +} + +SECP256K1_INLINE static int secp256k1_scalar_reduce(secp256k1_scalar *r, uint32_t overflow) { + uint64_t t; + VERIFY_CHECK(overflow <= 1); + t = (uint64_t)r->d[0] + overflow * SECP256K1_N_C_0; + r->d[0] = t & 0xFFFFFFFFUL; t >>= 32; + t += (uint64_t)r->d[1] + overflow * SECP256K1_N_C_1; + r->d[1] = t & 0xFFFFFFFFUL; t >>= 32; + t += (uint64_t)r->d[2] + overflow * SECP256K1_N_C_2; + r->d[2] = t & 0xFFFFFFFFUL; t >>= 32; + t += (uint64_t)r->d[3] + overflow * SECP256K1_N_C_3; + r->d[3] = t & 0xFFFFFFFFUL; t >>= 32; + t += (uint64_t)r->d[4] + overflow * SECP256K1_N_C_4; + r->d[4] = t & 0xFFFFFFFFUL; t >>= 32; + t += (uint64_t)r->d[5]; + r->d[5] = t & 0xFFFFFFFFUL; t >>= 32; + t += (uint64_t)r->d[6]; + r->d[6] = t & 0xFFFFFFFFUL; t >>= 32; + t += (uint64_t)r->d[7]; + r->d[7] = t & 0xFFFFFFFFUL; + return overflow; +} + +static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { + int overflow; + uint64_t t = (uint64_t)a->d[0] + b->d[0]; + r->d[0] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)a->d[1] + b->d[1]; + r->d[1] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)a->d[2] + b->d[2]; + r->d[2] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)a->d[3] + b->d[3]; + r->d[3] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)a->d[4] + b->d[4]; + r->d[4] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)a->d[5] + b->d[5]; + r->d[5] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)a->d[6] + b->d[6]; + r->d[6] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)a->d[7] + b->d[7]; + r->d[7] = t & 0xFFFFFFFFULL; t >>= 32; + overflow = t + secp256k1_scalar_check_overflow(r); + VERIFY_CHECK(overflow == 0 || overflow == 1); + secp256k1_scalar_reduce(r, overflow); + return overflow; +} + +static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) { + uint64_t t; + VERIFY_CHECK(bit < 256); + bit += ((uint32_t) flag - 1) & 0x100; /* forcing (bit >> 5) > 7 makes this a noop */ + t = (uint64_t)r->d[0] + (((uint32_t)((bit >> 5) == 0)) << (bit & 0x1F)); + r->d[0] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)r->d[1] + (((uint32_t)((bit >> 5) == 1)) << (bit & 0x1F)); + r->d[1] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)r->d[2] + (((uint32_t)((bit >> 5) == 2)) << (bit & 0x1F)); + r->d[2] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)r->d[3] + (((uint32_t)((bit >> 5) == 3)) << (bit & 0x1F)); + r->d[3] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)r->d[4] + (((uint32_t)((bit >> 5) == 4)) << (bit & 0x1F)); + r->d[4] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)r->d[5] + (((uint32_t)((bit >> 5) == 5)) << (bit & 0x1F)); + r->d[5] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)r->d[6] + (((uint32_t)((bit >> 5) == 6)) << (bit & 0x1F)); + r->d[6] = t & 0xFFFFFFFFULL; t >>= 32; + t += (uint64_t)r->d[7] + (((uint32_t)((bit >> 5) == 7)) << (bit & 0x1F)); + r->d[7] = t & 0xFFFFFFFFULL; +#ifdef VERIFY + VERIFY_CHECK((t >> 32) == 0); + VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); +#endif +} + +static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) { + int over; + r->d[0] = (uint32_t)b32[31] | (uint32_t)b32[30] << 8 | (uint32_t)b32[29] << 16 | (uint32_t)b32[28] << 24; + r->d[1] = (uint32_t)b32[27] | (uint32_t)b32[26] << 8 | (uint32_t)b32[25] << 16 | (uint32_t)b32[24] << 24; + r->d[2] = (uint32_t)b32[23] | (uint32_t)b32[22] << 8 | (uint32_t)b32[21] << 16 | (uint32_t)b32[20] << 24; + r->d[3] = (uint32_t)b32[19] | (uint32_t)b32[18] << 8 | (uint32_t)b32[17] << 16 | (uint32_t)b32[16] << 24; + r->d[4] = (uint32_t)b32[15] | (uint32_t)b32[14] << 8 | (uint32_t)b32[13] << 16 | (uint32_t)b32[12] << 24; + r->d[5] = (uint32_t)b32[11] | (uint32_t)b32[10] << 8 | (uint32_t)b32[9] << 16 | (uint32_t)b32[8] << 24; + r->d[6] = (uint32_t)b32[7] | (uint32_t)b32[6] << 8 | (uint32_t)b32[5] << 16 | (uint32_t)b32[4] << 24; + r->d[7] = (uint32_t)b32[3] | (uint32_t)b32[2] << 8 | (uint32_t)b32[1] << 16 | (uint32_t)b32[0] << 24; + over = secp256k1_scalar_reduce(r, secp256k1_scalar_check_overflow(r)); + if (overflow) { + *overflow = over; + } +} + +static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) { + bin[0] = a->d[7] >> 24; bin[1] = a->d[7] >> 16; bin[2] = a->d[7] >> 8; bin[3] = a->d[7]; + bin[4] = a->d[6] >> 24; bin[5] = a->d[6] >> 16; bin[6] = a->d[6] >> 8; bin[7] = a->d[6]; + bin[8] = a->d[5] >> 24; bin[9] = a->d[5] >> 16; bin[10] = a->d[5] >> 8; bin[11] = a->d[5]; + bin[12] = a->d[4] >> 24; bin[13] = a->d[4] >> 16; bin[14] = a->d[4] >> 8; bin[15] = a->d[4]; + bin[16] = a->d[3] >> 24; bin[17] = a->d[3] >> 16; bin[18] = a->d[3] >> 8; bin[19] = a->d[3]; + bin[20] = a->d[2] >> 24; bin[21] = a->d[2] >> 16; bin[22] = a->d[2] >> 8; bin[23] = a->d[2]; + bin[24] = a->d[1] >> 24; bin[25] = a->d[1] >> 16; bin[26] = a->d[1] >> 8; bin[27] = a->d[1]; + bin[28] = a->d[0] >> 24; bin[29] = a->d[0] >> 16; bin[30] = a->d[0] >> 8; bin[31] = a->d[0]; +} + +SECP256K1_INLINE static int secp256k1_scalar_is_zero(const secp256k1_scalar *a) { + return (a->d[0] | a->d[1] | a->d[2] | a->d[3] | a->d[4] | a->d[5] | a->d[6] | a->d[7]) == 0; +} + +static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a) { + uint32_t nonzero = 0xFFFFFFFFUL * (secp256k1_scalar_is_zero(a) == 0); + uint64_t t = (uint64_t)(~a->d[0]) + SECP256K1_N_0 + 1; + r->d[0] = t & nonzero; t >>= 32; + t += (uint64_t)(~a->d[1]) + SECP256K1_N_1; + r->d[1] = t & nonzero; t >>= 32; + t += (uint64_t)(~a->d[2]) + SECP256K1_N_2; + r->d[2] = t & nonzero; t >>= 32; + t += (uint64_t)(~a->d[3]) + SECP256K1_N_3; + r->d[3] = t & nonzero; t >>= 32; + t += (uint64_t)(~a->d[4]) + SECP256K1_N_4; + r->d[4] = t & nonzero; t >>= 32; + t += (uint64_t)(~a->d[5]) + SECP256K1_N_5; + r->d[5] = t & nonzero; t >>= 32; + t += (uint64_t)(~a->d[6]) + SECP256K1_N_6; + r->d[6] = t & nonzero; t >>= 32; + t += (uint64_t)(~a->d[7]) + SECP256K1_N_7; + r->d[7] = t & nonzero; +} + +#if 0 +SECP256K1_INLINE static int secp256k1_scalar_is_one(const secp256k1_scalar *a) { + return ((a->d[0] ^ 1) | a->d[1] | a->d[2] | a->d[3] | a->d[4] | a->d[5] | a->d[6] | a->d[7]) == 0; +} + +static int secp256k1_scalar_is_high(const secp256k1_scalar *a) { + int yes = 0; + int no = 0; + no |= (a->d[7] < SECP256K1_N_H_7); + yes |= (a->d[7] > SECP256K1_N_H_7) & ~no; + no |= (a->d[6] < SECP256K1_N_H_6) & ~yes; /* No need for a > check. */ + no |= (a->d[5] < SECP256K1_N_H_5) & ~yes; /* No need for a > check. */ + no |= (a->d[4] < SECP256K1_N_H_4) & ~yes; /* No need for a > check. */ + no |= (a->d[3] < SECP256K1_N_H_3) & ~yes; + yes |= (a->d[3] > SECP256K1_N_H_3) & ~no; + no |= (a->d[2] < SECP256K1_N_H_2) & ~yes; + yes |= (a->d[2] > SECP256K1_N_H_2) & ~no; + no |= (a->d[1] < SECP256K1_N_H_1) & ~yes; + yes |= (a->d[1] > SECP256K1_N_H_1) & ~no; + yes |= (a->d[0] > SECP256K1_N_H_0) & ~no; + return yes; +} +#endif + +/* Inspired by the macros in OpenSSL's crypto/bn/asm/x86_64-gcc.c. */ + +/** Add a*b to the number defined by (c0,c1,c2). c2 must never overflow. */ +#define muladd(a,b) { \ + uint32_t tl, th; \ + { \ + uint64_t t = (uint64_t)a * b; \ + th = t >> 32; /* at most 0xFFFFFFFE */ \ + tl = t; \ + } \ + c0 += tl; /* overflow is handled on the next line */ \ + th += (c0 < tl); /* at most 0xFFFFFFFF */ \ + c1 += th; /* overflow is handled on the next line */ \ + c2 += (c1 < th); /* never overflows by contract (verified in the next line) */ \ + VERIFY_CHECK((c1 >= th) || (c2 != 0)); \ +} + +/** Add a*b to the number defined by (c0,c1). c1 must never overflow. */ +#define muladd_fast(a,b) { \ + uint32_t tl, th; \ + { \ + uint64_t t = (uint64_t)a * b; \ + th = t >> 32; /* at most 0xFFFFFFFE */ \ + tl = t; \ + } \ + c0 += tl; /* overflow is handled on the next line */ \ + th += (c0 < tl); /* at most 0xFFFFFFFF */ \ + c1 += th; /* never overflows by contract (verified in the next line) */ \ + VERIFY_CHECK(c1 >= th); \ +} + +/** Add a to the number defined by (c0,c1,c2). c2 must never overflow. */ +#define sumadd(a) { \ + unsigned int over; \ + c0 += (a); /* overflow is handled on the next line */ \ + over = (c0 < (a)); \ + c1 += over; /* overflow is handled on the next line */ \ + c2 += (c1 < over); /* never overflows by contract */ \ +} + +/** Add a to the number defined by (c0,c1). c1 must never overflow, c2 must be zero. */ +#define sumadd_fast(a) { \ + c0 += (a); /* overflow is handled on the next line */ \ + c1 += (c0 < (a)); /* never overflows by contract (verified the next line) */ \ + VERIFY_CHECK((c1 != 0) | (c0 >= (a))); \ + VERIFY_CHECK(c2 == 0); \ +} + +/** Extract the lowest 32 bits of (c0,c1,c2) into n, and left shift the number 32 bits. */ +#define extract(n) { \ + (n) = c0; \ + c0 = c1; \ + c1 = c2; \ + c2 = 0; \ +} + +/** Extract the lowest 32 bits of (c0,c1,c2) into n, and left shift the number 32 bits. c2 is required to be zero. */ +#define extract_fast(n) { \ + (n) = c0; \ + c0 = c1; \ + c1 = 0; \ + VERIFY_CHECK(c2 == 0); \ +} + +static void secp256k1_scalar_reduce_512(secp256k1_scalar *r, const uint32_t *l) { + uint64_t c; + uint32_t n0 = l[8], n1 = l[9], n2 = l[10], n3 = l[11], n4 = l[12], n5 = l[13], n6 = l[14], n7 = l[15]; + uint32_t m0, m1, m2, m3, m4, m5, m6, m7, m8, m9, m10, m11, m12; + uint32_t p0, p1, p2, p3, p4, p5, p6, p7, p8; + + /* 96 bit accumulator. */ + uint32_t c0, c1, c2; + + /* Reduce 512 bits into 385. */ + /* m[0..12] = l[0..7] + n[0..7] * SECP256K1_N_C. */ + c0 = l[0]; c1 = 0; c2 = 0; + muladd_fast(n0, SECP256K1_N_C_0); + extract_fast(m0); + sumadd_fast(l[1]); + muladd(n1, SECP256K1_N_C_0); + muladd(n0, SECP256K1_N_C_1); + extract(m1); + sumadd(l[2]); + muladd(n2, SECP256K1_N_C_0); + muladd(n1, SECP256K1_N_C_1); + muladd(n0, SECP256K1_N_C_2); + extract(m2); + sumadd(l[3]); + muladd(n3, SECP256K1_N_C_0); + muladd(n2, SECP256K1_N_C_1); + muladd(n1, SECP256K1_N_C_2); + muladd(n0, SECP256K1_N_C_3); + extract(m3); + sumadd(l[4]); + muladd(n4, SECP256K1_N_C_0); + muladd(n3, SECP256K1_N_C_1); + muladd(n2, SECP256K1_N_C_2); + muladd(n1, SECP256K1_N_C_3); + sumadd(n0); + extract(m4); + sumadd(l[5]); + muladd(n5, SECP256K1_N_C_0); + muladd(n4, SECP256K1_N_C_1); + muladd(n3, SECP256K1_N_C_2); + muladd(n2, SECP256K1_N_C_3); + sumadd(n1); + extract(m5); + sumadd(l[6]); + muladd(n6, SECP256K1_N_C_0); + muladd(n5, SECP256K1_N_C_1); + muladd(n4, SECP256K1_N_C_2); + muladd(n3, SECP256K1_N_C_3); + sumadd(n2); + extract(m6); + sumadd(l[7]); + muladd(n7, SECP256K1_N_C_0); + muladd(n6, SECP256K1_N_C_1); + muladd(n5, SECP256K1_N_C_2); + muladd(n4, SECP256K1_N_C_3); + sumadd(n3); + extract(m7); + muladd(n7, SECP256K1_N_C_1); + muladd(n6, SECP256K1_N_C_2); + muladd(n5, SECP256K1_N_C_3); + sumadd(n4); + extract(m8); + muladd(n7, SECP256K1_N_C_2); + muladd(n6, SECP256K1_N_C_3); + sumadd(n5); + extract(m9); + muladd(n7, SECP256K1_N_C_3); + sumadd(n6); + extract(m10); + sumadd_fast(n7); + extract_fast(m11); + VERIFY_CHECK(c0 <= 1); + m12 = c0; + + /* Reduce 385 bits into 258. */ + /* p[0..8] = m[0..7] + m[8..12] * SECP256K1_N_C. */ + c0 = m0; c1 = 0; c2 = 0; + muladd_fast(m8, SECP256K1_N_C_0); + extract_fast(p0); + sumadd_fast(m1); + muladd(m9, SECP256K1_N_C_0); + muladd(m8, SECP256K1_N_C_1); + extract(p1); + sumadd(m2); + muladd(m10, SECP256K1_N_C_0); + muladd(m9, SECP256K1_N_C_1); + muladd(m8, SECP256K1_N_C_2); + extract(p2); + sumadd(m3); + muladd(m11, SECP256K1_N_C_0); + muladd(m10, SECP256K1_N_C_1); + muladd(m9, SECP256K1_N_C_2); + muladd(m8, SECP256K1_N_C_3); + extract(p3); + sumadd(m4); + muladd(m12, SECP256K1_N_C_0); + muladd(m11, SECP256K1_N_C_1); + muladd(m10, SECP256K1_N_C_2); + muladd(m9, SECP256K1_N_C_3); + sumadd(m8); + extract(p4); + sumadd(m5); + muladd(m12, SECP256K1_N_C_1); + muladd(m11, SECP256K1_N_C_2); + muladd(m10, SECP256K1_N_C_3); + sumadd(m9); + extract(p5); + sumadd(m6); + muladd(m12, SECP256K1_N_C_2); + muladd(m11, SECP256K1_N_C_3); + sumadd(m10); + extract(p6); + sumadd_fast(m7); + muladd_fast(m12, SECP256K1_N_C_3); + sumadd_fast(m11); + extract_fast(p7); + p8 = c0 + m12; + VERIFY_CHECK(p8 <= 2); + + /* Reduce 258 bits into 256. */ + /* r[0..7] = p[0..7] + p[8] * SECP256K1_N_C. */ + c = p0 + (uint64_t)SECP256K1_N_C_0 * p8; + r->d[0] = c & 0xFFFFFFFFUL; c >>= 32; + c += p1 + (uint64_t)SECP256K1_N_C_1 * p8; + r->d[1] = c & 0xFFFFFFFFUL; c >>= 32; + c += p2 + (uint64_t)SECP256K1_N_C_2 * p8; + r->d[2] = c & 0xFFFFFFFFUL; c >>= 32; + c += p3 + (uint64_t)SECP256K1_N_C_3 * p8; + r->d[3] = c & 0xFFFFFFFFUL; c >>= 32; + c += p4 + (uint64_t)p8; + r->d[4] = c & 0xFFFFFFFFUL; c >>= 32; + c += p5; + r->d[5] = c & 0xFFFFFFFFUL; c >>= 32; + c += p6; + r->d[6] = c & 0xFFFFFFFFUL; c >>= 32; + c += p7; + r->d[7] = c & 0xFFFFFFFFUL; c >>= 32; + + /* Final reduction of r. */ + secp256k1_scalar_reduce(r, c + secp256k1_scalar_check_overflow(r)); +} + +static void secp256k1_scalar_mul_512(uint32_t *l, const secp256k1_scalar *a, const secp256k1_scalar *b) { + /* 96 bit accumulator. */ + uint32_t c0 = 0, c1 = 0, c2 = 0; + + /* l[0..15] = a[0..7] * b[0..7]. */ + muladd_fast(a->d[0], b->d[0]); + extract_fast(l[0]); + muladd(a->d[0], b->d[1]); + muladd(a->d[1], b->d[0]); + extract(l[1]); + muladd(a->d[0], b->d[2]); + muladd(a->d[1], b->d[1]); + muladd(a->d[2], b->d[0]); + extract(l[2]); + muladd(a->d[0], b->d[3]); + muladd(a->d[1], b->d[2]); + muladd(a->d[2], b->d[1]); + muladd(a->d[3], b->d[0]); + extract(l[3]); + muladd(a->d[0], b->d[4]); + muladd(a->d[1], b->d[3]); + muladd(a->d[2], b->d[2]); + muladd(a->d[3], b->d[1]); + muladd(a->d[4], b->d[0]); + extract(l[4]); + muladd(a->d[0], b->d[5]); + muladd(a->d[1], b->d[4]); + muladd(a->d[2], b->d[3]); + muladd(a->d[3], b->d[2]); + muladd(a->d[4], b->d[1]); + muladd(a->d[5], b->d[0]); + extract(l[5]); + muladd(a->d[0], b->d[6]); + muladd(a->d[1], b->d[5]); + muladd(a->d[2], b->d[4]); + muladd(a->d[3], b->d[3]); + muladd(a->d[4], b->d[2]); + muladd(a->d[5], b->d[1]); + muladd(a->d[6], b->d[0]); + extract(l[6]); + muladd(a->d[0], b->d[7]); + muladd(a->d[1], b->d[6]); + muladd(a->d[2], b->d[5]); + muladd(a->d[3], b->d[4]); + muladd(a->d[4], b->d[3]); + muladd(a->d[5], b->d[2]); + muladd(a->d[6], b->d[1]); + muladd(a->d[7], b->d[0]); + extract(l[7]); + muladd(a->d[1], b->d[7]); + muladd(a->d[2], b->d[6]); + muladd(a->d[3], b->d[5]); + muladd(a->d[4], b->d[4]); + muladd(a->d[5], b->d[3]); + muladd(a->d[6], b->d[2]); + muladd(a->d[7], b->d[1]); + extract(l[8]); + muladd(a->d[2], b->d[7]); + muladd(a->d[3], b->d[6]); + muladd(a->d[4], b->d[5]); + muladd(a->d[5], b->d[4]); + muladd(a->d[6], b->d[3]); + muladd(a->d[7], b->d[2]); + extract(l[9]); + muladd(a->d[3], b->d[7]); + muladd(a->d[4], b->d[6]); + muladd(a->d[5], b->d[5]); + muladd(a->d[6], b->d[4]); + muladd(a->d[7], b->d[3]); + extract(l[10]); + muladd(a->d[4], b->d[7]); + muladd(a->d[5], b->d[6]); + muladd(a->d[6], b->d[5]); + muladd(a->d[7], b->d[4]); + extract(l[11]); + muladd(a->d[5], b->d[7]); + muladd(a->d[6], b->d[6]); + muladd(a->d[7], b->d[5]); + extract(l[12]); + muladd(a->d[6], b->d[7]); + muladd(a->d[7], b->d[6]); + extract(l[13]); + muladd_fast(a->d[7], b->d[7]); + extract_fast(l[14]); + VERIFY_CHECK(c1 == 0); + l[15] = c0; +} + +#undef sumadd +#undef sumadd_fast +#undef muladd +#undef muladd_fast +#undef extract +#undef extract_fast + +static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b) { + uint32_t l[16]; + secp256k1_scalar_mul_512(l, a, b); + secp256k1_scalar_reduce_512(r, l); +} + +#if 0 +static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n) { + int ret; + VERIFY_CHECK(n > 0); + VERIFY_CHECK(n < 16); + ret = r->d[0] & ((1 << n) - 1); + r->d[0] = (r->d[0] >> n) + (r->d[1] << (32 - n)); + r->d[1] = (r->d[1] >> n) + (r->d[2] << (32 - n)); + r->d[2] = (r->d[2] >> n) + (r->d[3] << (32 - n)); + r->d[3] = (r->d[3] >> n) + (r->d[4] << (32 - n)); + r->d[4] = (r->d[4] >> n) + (r->d[5] << (32 - n)); + r->d[5] = (r->d[5] >> n) + (r->d[6] << (32 - n)); + r->d[6] = (r->d[6] >> n) + (r->d[7] << (32 - n)); + r->d[7] = (r->d[7] >> n); + return ret; +} +#endif + +static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) { + r1->d[0] = k->d[0]; + r1->d[1] = k->d[1]; + r1->d[2] = k->d[2]; + r1->d[3] = k->d[3]; + r1->d[4] = 0; + r1->d[5] = 0; + r1->d[6] = 0; + r1->d[7] = 0; + r2->d[0] = k->d[4]; + r2->d[1] = k->d[5]; + r2->d[2] = k->d[6]; + r2->d[3] = k->d[7]; + r2->d[4] = 0; + r2->d[5] = 0; + r2->d[6] = 0; + r2->d[7] = 0; +} + +#if 0 +SECP256K1_INLINE static int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b) { + return ((a->d[0] ^ b->d[0]) | (a->d[1] ^ b->d[1]) | (a->d[2] ^ b->d[2]) | (a->d[3] ^ b->d[3]) | (a->d[4] ^ b->d[4]) | (a->d[5] ^ b->d[5]) | (a->d[6] ^ b->d[6]) | (a->d[7] ^ b->d[7])) == 0; +} +#endif + +SECP256K1_INLINE static void secp256k1_scalar_mul_shift_var(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b, unsigned int shift) { + uint32_t l[16]; + unsigned int shiftlimbs; + unsigned int shiftlow; + unsigned int shifthigh; + VERIFY_CHECK(shift >= 256); + secp256k1_scalar_mul_512(l, a, b); + shiftlimbs = shift >> 5; + shiftlow = shift & 0x1F; + shifthigh = 32 - shiftlow; + r->d[0] = shift < 512 ? (l[0 + shiftlimbs] >> shiftlow | (shift < 480 && shiftlow ? (l[1 + shiftlimbs] << shifthigh) : 0)) : 0; + r->d[1] = shift < 480 ? (l[1 + shiftlimbs] >> shiftlow | (shift < 448 && shiftlow ? (l[2 + shiftlimbs] << shifthigh) : 0)) : 0; + r->d[2] = shift < 448 ? (l[2 + shiftlimbs] >> shiftlow | (shift < 416 && shiftlow ? (l[3 + shiftlimbs] << shifthigh) : 0)) : 0; + r->d[3] = shift < 416 ? (l[3 + shiftlimbs] >> shiftlow | (shift < 384 && shiftlow ? (l[4 + shiftlimbs] << shifthigh) : 0)) : 0; + r->d[4] = shift < 384 ? (l[4 + shiftlimbs] >> shiftlow | (shift < 352 && shiftlow ? (l[5 + shiftlimbs] << shifthigh) : 0)) : 0; + r->d[5] = shift < 352 ? (l[5 + shiftlimbs] >> shiftlow | (shift < 320 && shiftlow ? (l[6 + shiftlimbs] << shifthigh) : 0)) : 0; + r->d[6] = shift < 320 ? (l[6 + shiftlimbs] >> shiftlow | (shift < 288 && shiftlow ? (l[7 + shiftlimbs] << shifthigh) : 0)) : 0; + r->d[7] = shift < 288 ? (l[7 + shiftlimbs] >> shiftlow) : 0; + secp256k1_scalar_cadd_bit(r, 0, (l[(shift - 1) >> 5] >> ((shift - 1) & 0x1f)) & 1); +} + +static void secp256k1_scalar_from_signed30(secp256k1_scalar *r, const secp256k1_modinv32_signed30 *a) { + const uint32_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4], + a5 = a->v[5], a6 = a->v[6], a7 = a->v[7], a8 = a->v[8]; + + /* The output from secp256k1_modinv32{_var} should be normalized to range [0,modulus), and + * have limbs in [0,2^30). The modulus is < 2^256, so the top limb must be below 2^(256-30*8). + */ + VERIFY_CHECK(a0 >> 30 == 0); + VERIFY_CHECK(a1 >> 30 == 0); + VERIFY_CHECK(a2 >> 30 == 0); + VERIFY_CHECK(a3 >> 30 == 0); + VERIFY_CHECK(a4 >> 30 == 0); + VERIFY_CHECK(a5 >> 30 == 0); + VERIFY_CHECK(a6 >> 30 == 0); + VERIFY_CHECK(a7 >> 30 == 0); + VERIFY_CHECK(a8 >> 16 == 0); + + r->d[0] = a0 | a1 << 30; + r->d[1] = a1 >> 2 | a2 << 28; + r->d[2] = a2 >> 4 | a3 << 26; + r->d[3] = a3 >> 6 | a4 << 24; + r->d[4] = a4 >> 8 | a5 << 22; + r->d[5] = a5 >> 10 | a6 << 20; + r->d[6] = a6 >> 12 | a7 << 18; + r->d[7] = a7 >> 14 | a8 << 16; + +#ifdef VERIFY + VERIFY_CHECK(secp256k1_scalar_check_overflow(r) == 0); +#endif +} + +static void secp256k1_scalar_to_signed30(secp256k1_modinv32_signed30 *r, const secp256k1_scalar *a) { + const uint32_t M30 = UINT32_MAX >> 2; + const uint32_t a0 = a->d[0], a1 = a->d[1], a2 = a->d[2], a3 = a->d[3], + a4 = a->d[4], a5 = a->d[5], a6 = a->d[6], a7 = a->d[7]; + +#ifdef VERIFY + VERIFY_CHECK(secp256k1_scalar_check_overflow(a) == 0); +#endif + + r->v[0] = a0 & M30; + r->v[1] = (a0 >> 30 | a1 << 2) & M30; + r->v[2] = (a1 >> 28 | a2 << 4) & M30; + r->v[3] = (a2 >> 26 | a3 << 6) & M30; + r->v[4] = (a3 >> 24 | a4 << 8) & M30; + r->v[5] = (a4 >> 22 | a5 << 10) & M30; + r->v[6] = (a5 >> 20 | a6 << 12) & M30; + r->v[7] = (a6 >> 18 | a7 << 14) & M30; + r->v[8] = a7 >> 16; +} + +static const secp256k1_modinv32_modinfo secp256k1_const_modinfo_scalar = { + {{0x10364141L, 0x3F497A33L, 0x348A03BBL, 0x2BB739ABL, -0x146L, 0, 0, 0, 65536}}, + 0x2A774EC1L +}; + +static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x) { + secp256k1_modinv32_signed30 s; +#ifdef VERIFY + int zero_in = secp256k1_scalar_is_zero(x); +#endif + secp256k1_scalar_to_signed30(&s, x); + secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_scalar); + secp256k1_scalar_from_signed30(r, &s); + +#ifdef VERIFY + VERIFY_CHECK(secp256k1_scalar_is_zero(r) == zero_in); +#endif +} + +#if 0 +SECP256K1_INLINE static int secp256k1_scalar_is_even(const secp256k1_scalar *a) { + return !(a->d[0] & 1); +} +#endif + +#endif /* SECP256K1_SCALAR_REPR_IMPL_H */ diff --git a/secp256k1/scalar_impl.h b/secp256k1/scalar_impl.h new file mode 100644 index 00000000000..164568961ea --- /dev/null +++ b/secp256k1/scalar_impl.h @@ -0,0 +1,263 @@ +/*********************************************************************** + * Copyright (c) 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_SCALAR_IMPL_H +#define SECP256K1_SCALAR_IMPL_H + +#ifdef VERIFY +#include +#endif + +#include "scalar.h" +#include "util.h" + +#if defined(SECP256K1_WIDEMUL_INT128) +#include "scalar_4x64_impl.h" +#elif defined(SECP256K1_WIDEMUL_INT64) +#include "scalar_8x32_impl.h" +#else +#error "Please select wide multiplication implementation" +#endif + +static const secp256k1_scalar secp256k1_scalar_one = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 1); +static const secp256k1_scalar secp256k1_scalar_zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0); + +/** + * The Secp256k1 curve has an endomorphism, where lambda * (x, y) = (beta * x, y), where + * lambda is: */ +static const secp256k1_scalar secp256k1_const_lambda = SECP256K1_SCALAR_CONST( + 0x5363AD4CUL, 0xC05C30E0UL, 0xA5261C02UL, 0x8812645AUL, + 0x122E22EAUL, 0x20816678UL, 0xDF02967CUL, 0x1B23BD72UL +); + +#ifdef VERIFY +static void secp256k1_scalar_split_lambda_verify(const secp256k1_scalar *r1, const secp256k1_scalar *r2, const secp256k1_scalar *k); +#endif + +/* + * Both lambda and beta are primitive cube roots of unity. That is lamba^3 == 1 mod n and + * beta^3 == 1 mod p, where n is the curve order and p is the field order. + * + * Futhermore, because (X^3 - 1) = (X - 1)(X^2 + X + 1), the primitive cube roots of unity are + * roots of X^2 + X + 1. Therefore lambda^2 + lamba == -1 mod n and beta^2 + beta == -1 mod p. + * (The other primitive cube roots of unity are lambda^2 and beta^2 respectively.) + * + * Let l = -1/2 + i*sqrt(3)/2, the complex root of X^2 + X + 1. We can define a ring + * homomorphism phi : Z[l] -> Z_n where phi(a + b*l) == a + b*lambda mod n. The kernel of phi + * is a lattice over Z[l] (considering Z[l] as a Z-module). This lattice is generated by a + * reduced basis {a1 + b1*l, a2 + b2*l} where + * + * - a1 = {0x30,0x86,0xd2,0x21,0xa7,0xd4,0x6b,0xcd,0xe8,0x6c,0x90,0xe4,0x92,0x84,0xeb,0x15} + * - b1 = -{0xe4,0x43,0x7e,0xd6,0x01,0x0e,0x88,0x28,0x6f,0x54,0x7f,0xa9,0x0a,0xbf,0xe4,0xc3} + * - a2 = {0x01,0x14,0xca,0x50,0xf7,0xa8,0xe2,0xf3,0xf6,0x57,0xc1,0x10,0x8d,0x9d,0x44,0xcf,0xd8} + * - b2 = {0x30,0x86,0xd2,0x21,0xa7,0xd4,0x6b,0xcd,0xe8,0x6c,0x90,0xe4,0x92,0x84,0xeb,0x15} + * + * "Guide to Elliptic Curve Cryptography" (Hankerson, Menezes, Vanstone) gives an algorithm + * (algorithm 3.74) to find k1 and k2 given k, such that k1 + k2 * lambda == k mod n, and k1 + * and k2 are small in absolute value. + * + * The algorithm computes c1 = round(b2 * k / n) and c2 = round((-b1) * k / n), and gives + * k1 = k - (c1*a1 + c2*a2) and k2 = -(c1*b1 + c2*b2). Instead, we use modular arithmetic, and + * compute r2 = k2 mod n, and r1 = k1 mod n = (k - r2 * lambda) mod n, avoiding the need for + * the constants a1 and a2. + * + * g1, g2 are precomputed constants used to replace division with a rounded multiplication + * when decomposing the scalar for an endomorphism-based point multiplication. + * + * The possibility of using precomputed estimates is mentioned in "Guide to Elliptic Curve + * Cryptography" (Hankerson, Menezes, Vanstone) in section 3.5. + * + * The derivation is described in the paper "Efficient Software Implementation of Public-Key + * Cryptography on Sensor Networks Using the MSP430X Microcontroller" (Gouvea, Oliveira, Lopez), + * Section 4.3 (here we use a somewhat higher-precision estimate): + * d = a1*b2 - b1*a2 + * g1 = round(2^384 * b2/d) + * g2 = round(2^384 * (-b1)/d) + * + * (Note that d is also equal to the curve order, n, here because [a1,b1] and [a2,b2] + * can be found as outputs of the Extended Euclidean Algorithm on inputs n and lambda). + * + * The function below splits k into r1 and r2, such that + * - r1 + lambda * r2 == k (mod n) + * - either r1 < 2^128 or -r1 mod n < 2^128 + * - either r2 < 2^128 or -r2 mod n < 2^128 + * + * See proof below. + */ +static void secp256k1_scalar_split_lambda(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *k) { + secp256k1_scalar c1, c2; + static const secp256k1_scalar minus_b1 = SECP256K1_SCALAR_CONST( + 0x00000000UL, 0x00000000UL, 0x00000000UL, 0x00000000UL, + 0xE4437ED6UL, 0x010E8828UL, 0x6F547FA9UL, 0x0ABFE4C3UL + ); + static const secp256k1_scalar minus_b2 = SECP256K1_SCALAR_CONST( + 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, + 0x8A280AC5UL, 0x0774346DUL, 0xD765CDA8UL, 0x3DB1562CUL + ); + static const secp256k1_scalar g1 = SECP256K1_SCALAR_CONST( + 0x3086D221UL, 0xA7D46BCDUL, 0xE86C90E4UL, 0x9284EB15UL, + 0x3DAA8A14UL, 0x71E8CA7FUL, 0xE893209AUL, 0x45DBB031UL + ); + static const secp256k1_scalar g2 = SECP256K1_SCALAR_CONST( + 0xE4437ED6UL, 0x010E8828UL, 0x6F547FA9UL, 0x0ABFE4C4UL, + 0x221208ACUL, 0x9DF506C6UL, 0x1571B4AEUL, 0x8AC47F71UL + ); + VERIFY_CHECK(r1 != k); + VERIFY_CHECK(r2 != k); + /* these _var calls are constant time since the shift amount is constant */ + secp256k1_scalar_mul_shift_var(&c1, k, &g1, 384); + secp256k1_scalar_mul_shift_var(&c2, k, &g2, 384); + secp256k1_scalar_mul(&c1, &c1, &minus_b1); + secp256k1_scalar_mul(&c2, &c2, &minus_b2); + secp256k1_scalar_add(r2, &c1, &c2); + secp256k1_scalar_mul(r1, r2, &secp256k1_const_lambda); + secp256k1_scalar_negate(r1, r1); + secp256k1_scalar_add(r1, r1, k); + +#ifdef VERIFY + secp256k1_scalar_split_lambda_verify(r1, r2, k); +#endif +} + +#ifdef VERIFY +/* + * Proof for secp256k1_scalar_split_lambda's bounds. + * + * Let + * - epsilon1 = 2^256 * |g1/2^384 - b2/d| + * - epsilon2 = 2^256 * |g2/2^384 - (-b1)/d| + * - c1 = round(k*g1/2^384) + * - c2 = round(k*g2/2^384) + * + * Lemma 1: |c1 - k*b2/d| < 2^-1 + epsilon1 + * + * |c1 - k*b2/d| + * = + * |c1 - k*g1/2^384 + k*g1/2^384 - k*b2/d| + * <= {triangle inequality} + * |c1 - k*g1/2^384| + |k*g1/2^384 - k*b2/d| + * = + * |c1 - k*g1/2^384| + k*|g1/2^384 - b2/d| + * < {rounding in c1 and 0 <= k < 2^256} + * 2^-1 + 2^256 * |g1/2^384 - b2/d| + * = {definition of epsilon1} + * 2^-1 + epsilon1 + * + * Lemma 2: |c2 - k*(-b1)/d| < 2^-1 + epsilon2 + * + * |c2 - k*(-b1)/d| + * = + * |c2 - k*g2/2^384 + k*g2/2^384 - k*(-b1)/d| + * <= {triangle inequality} + * |c2 - k*g2/2^384| + |k*g2/2^384 - k*(-b1)/d| + * = + * |c2 - k*g2/2^384| + k*|g2/2^384 - (-b1)/d| + * < {rounding in c2 and 0 <= k < 2^256} + * 2^-1 + 2^256 * |g2/2^384 - (-b1)/d| + * = {definition of epsilon2} + * 2^-1 + epsilon2 + * + * Let + * - k1 = k - c1*a1 - c2*a2 + * - k2 = - c1*b1 - c2*b2 + * + * Lemma 3: |k1| < (a1 + a2 + 1)/2 < 2^128 + * + * |k1| + * = {definition of k1} + * |k - c1*a1 - c2*a2| + * = {(a1*b2 - b1*a2)/n = 1} + * |k*(a1*b2 - b1*a2)/n - c1*a1 - c2*a2| + * = + * |a1*(k*b2/n - c1) + a2*(k*(-b1)/n - c2)| + * <= {triangle inequality} + * a1*|k*b2/n - c1| + a2*|k*(-b1)/n - c2| + * < {Lemma 1 and Lemma 2} + * a1*(2^-1 + epslion1) + a2*(2^-1 + epsilon2) + * < {rounding up to an integer} + * (a1 + a2 + 1)/2 + * < {rounding up to a power of 2} + * 2^128 + * + * Lemma 4: |k2| < (-b1 + b2)/2 + 1 < 2^128 + * + * |k2| + * = {definition of k2} + * |- c1*a1 - c2*a2| + * = {(b1*b2 - b1*b2)/n = 0} + * |k*(b1*b2 - b1*b2)/n - c1*b1 - c2*b2| + * = + * |b1*(k*b2/n - c1) + b2*(k*(-b1)/n - c2)| + * <= {triangle inequality} + * (-b1)*|k*b2/n - c1| + b2*|k*(-b1)/n - c2| + * < {Lemma 1 and Lemma 2} + * (-b1)*(2^-1 + epslion1) + b2*(2^-1 + epsilon2) + * < {rounding up to an integer} + * (-b1 + b2)/2 + 1 + * < {rounding up to a power of 2} + * 2^128 + * + * Let + * - r2 = k2 mod n + * - r1 = k - r2*lambda mod n. + * + * Notice that r1 is defined such that r1 + r2 * lambda == k (mod n). + * + * Lemma 5: r1 == k1 mod n. + * + * r1 + * == {definition of r1 and r2} + * k - k2*lambda + * == {definition of k2} + * k - (- c1*b1 - c2*b2)*lambda + * == + * k + c1*b1*lambda + c2*b2*lambda + * == {a1 + b1*lambda == 0 mod n and a2 + b2*lambda == 0 mod n} + * k - c1*a1 - c2*a2 + * == {definition of k1} + * k1 + * + * From Lemma 3, Lemma 4, Lemma 5 and the definition of r2, we can conclude that + * + * - either r1 < 2^128 or -r1 mod n < 2^128 + * - either r2 < 2^128 or -r2 mod n < 2^128. + * + * Q.E.D. + */ +static void secp256k1_scalar_split_lambda_verify(const secp256k1_scalar *r1, const secp256k1_scalar *r2, const secp256k1_scalar *k) { + secp256k1_scalar s; + unsigned char buf1[32]; + unsigned char buf2[32]; + + /* (a1 + a2 + 1)/2 is 0xa2a8918ca85bafe22016d0b917e4dd77 */ + static const unsigned char k1_bound[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0xa2, 0xa8, 0x91, 0x8c, 0xa8, 0x5b, 0xaf, 0xe2, 0x20, 0x16, 0xd0, 0xb9, 0x17, 0xe4, 0xdd, 0x77 + }; + + /* (-b1 + b2)/2 + 1 is 0x8a65287bd47179fb2be08846cea267ed */ + static const unsigned char k2_bound[32] = { + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x8a, 0x65, 0x28, 0x7b, 0xd4, 0x71, 0x79, 0xfb, 0x2b, 0xe0, 0x88, 0x46, 0xce, 0xa2, 0x67, 0xed + }; + + secp256k1_scalar_mul(&s, &secp256k1_const_lambda, r2); + secp256k1_scalar_add(&s, &s, r1); + VERIFY_CHECK(secp256k1_scalar_eq(&s, k)); + + secp256k1_scalar_negate(&s, r1); + secp256k1_scalar_get_b32(buf1, r1); + secp256k1_scalar_get_b32(buf2, &s); + VERIFY_CHECK(secp256k1_memcmp_var(buf1, k1_bound, 32) < 0 || secp256k1_memcmp_var(buf2, k1_bound, 32) < 0); + + secp256k1_scalar_negate(&s, r2); + secp256k1_scalar_get_b32(buf1, r2); + secp256k1_scalar_get_b32(buf2, &s); + VERIFY_CHECK(secp256k1_memcmp_var(buf1, k2_bound, 32) < 0 || secp256k1_memcmp_var(buf2, k2_bound, 32) < 0); +} +#endif /* VERIFY */ + +#endif /* SECP256K1_SCALAR_IMPL_H */ diff --git a/secp256k1/schnorrsig.h b/secp256k1/schnorrsig.h new file mode 100644 index 00000000000..cfd44b30ea4 --- /dev/null +++ b/secp256k1/schnorrsig.h @@ -0,0 +1,28 @@ +#ifndef SECP256K1_SCHNORRSIG_H +#define SECP256K1_SCHNORRSIG_H + +#include "secp256k1.h" +#include "extrakeys.h" + +/** This module implements a variant of Schnorr signatures compliant with + * Bitcoin Improvement Proposal 340 "Schnorr Signatures for secp256k1" + * (https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki). + */ + +/** Verify a Schnorr signature. + * + * Returns: 1: correct signature + * 0: incorrect signature + * In: sig64: pointer to the 64-byte signature to verify (cannot be NULL) + * msg: the message being verified. Can only be NULL if msglen is 0. + * msglen: length of the message + * pubkey: pointer to an x-only public key to verify with (cannot be NULL) + */ +static SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorrsig_verify( + const unsigned char *sig64, + const unsigned char *msg, + size_t msglen, + const secp256k1_xonly_pubkey *pubkey +) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(4); + +#endif /* SCHNORRSIG_H */ diff --git a/secp256k1/schnorrsig_impl.h b/secp256k1/schnorrsig_impl.h new file mode 100644 index 00000000000..55d286c6102 --- /dev/null +++ b/secp256k1/schnorrsig_impl.h @@ -0,0 +1,93 @@ +/*********************************************************************** + * Copyright (c) 2018-2020 Andrew Poelstra, Jonas Nick * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_SCHNORRSIG_IMPL_H +#define SECP256K1_SCHNORRSIG_IMPL_H + +#include "secp256k1.h" +#include "schnorrsig.h" +#include "../sha256.h" + +/* Initializes SHA256 with fixed midstate. This midstate was computed by applying + * SHA256 to SHA256("BIP0340/challenge")||SHA256("BIP0340/challenge"). */ +static sha256_context secp256k1_schnorrsig_sha256_tagged(uint32_t* output) { + output[0] = 0x9cecba11ul; + output[1] = 0x23925381ul; + output[2] = 0x11679112ul; + output[3] = 0xd1627e0ful; + output[4] = 0x97c87550ul; + output[5] = 0x003cc765ul; + output[6] = 0x90f61164ul; + output[7] = 0x33e9b66aul; + return (sha256_context){ .output = output, .counter = 64 }; +} + +static void secp256k1_schnorrsig_challenge(secp256k1_scalar* e, const unsigned char *r32, const unsigned char *msg, size_t msglen, const unsigned char *pubkey32) +{ + unsigned char buf[32]; + sha256_midstate sha_buf; + + /* tagged hash(r.x, pk.x, msg32) */ + sha256_context sha = secp256k1_schnorrsig_sha256_tagged(sha_buf.s); + sha256_uchars(&sha, r32, 32); + sha256_uchars(&sha, pubkey32, 32); + sha256_uchars(&sha, msg, msglen); + sha256_finalize(&sha); + sha256_fromMidstate(buf, sha_buf.s); + + /* Set scalar e to the challenge hash modulo the curve order as per + * BIP340. */ + secp256k1_scalar_set_b32(e, buf, NULL); +} + +static int secp256k1_schnorrsig_verify(const unsigned char *sig64, const unsigned char *msg, size_t msglen, const secp256k1_xonly_pubkey *pubkey) { + secp256k1_scalar s; + secp256k1_scalar e; + secp256k1_gej rj; + secp256k1_ge pk; + secp256k1_gej pkj; + secp256k1_fe rx; + secp256k1_ge r; + unsigned char buf[32]; + int overflow; + + ARG_CHECK(sig64 != NULL); + ARG_CHECK(msg != NULL || msglen == 0); + ARG_CHECK(pubkey != NULL); + + if (!secp256k1_fe_set_b32(&rx, &sig64[0])) { + return 0; + } + + secp256k1_scalar_set_b32(&s, &sig64[32], &overflow); + if (overflow) { + return 0; + } + + if (!secp256k1_xonly_pubkey_load(&pk, pubkey)) { + return 0; + } + + /* Compute e. */ + secp256k1_fe_get_b32(buf, &pk.x); + secp256k1_schnorrsig_challenge(&e, &sig64[0], msg, msglen, buf); + + /* Compute rj = s*G + (-e)*pkj */ + secp256k1_scalar_negate(&e, &e); + secp256k1_gej_set_ge(&pkj, &pk); + secp256k1_ecmult(&rj, &pkj, &e, &s); + + secp256k1_ge_set_gej_var(&r, &rj); + if (secp256k1_ge_is_infinity(&r)) { + return 0; + } + + secp256k1_fe_normalize_var(&r.y); + return !secp256k1_fe_is_odd(&r.y) && + secp256k1_fe_equal_var(&rx, &r.x); +} + +#endif diff --git a/secp256k1/secp256k1.h b/secp256k1/secp256k1.h new file mode 100644 index 00000000000..13545c61f42 --- /dev/null +++ b/secp256k1/secp256k1.h @@ -0,0 +1,61 @@ +#ifndef SECP256K1_H +#define SECP256K1_H + +#include + +/* Unless explicitly stated all pointer arguments must not be NULL. + * + * The following rules specify the order of arguments in API calls: + * + * 1. Context pointers go first, followed by output arguments, combined + * output/input arguments, and finally input-only arguments. + * 2. Array lengths always immediately follow the argument whose length + * they describe, even if this violates rule 1. + * 3. Within the OUT/OUTIN/IN groups, pointers to data that is typically generated + * later go first. This means: signatures, public nonces, secret nonces, + * messages, public keys, secret keys, tweaks. + * 4. Arguments that are not data pointers go last, from more complex to less + * complex: function pointers, algorithm names, messages, void pointers, + * counts, flags, booleans. + * 5. Opaque data pointers follow the function pointer they are to be passed to. + */ + +/** Opaque data structure that holds a parsed and valid public key. + * + * The exact representation of data inside is implementation defined and not + * guaranteed to be portable between different platforms or versions. It is + * however guaranteed to be 64 bytes in size, and can be safely copied/moved. + * If you need to convert to a format suitable for storage or transmission, + * use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse. To + * compare keys, use secp256k1_ec_pubkey_cmp. + */ +typedef struct { + unsigned char data[64]; +} secp256k1_pubkey; + +# if !defined(SECP256K1_GNUC_PREREQ) +# if defined(__GNUC__)&&defined(__GNUC_MINOR__) +# define SECP256K1_GNUC_PREREQ(_maj,_min) \ + ((__GNUC__<<16)+__GNUC_MINOR__>=((_maj)<<16)+(_min)) +# else +# define SECP256K1_GNUC_PREREQ(_maj,_min) 0 +# endif +# endif + +#define SECP256K1_INLINE inline + +/**Warning attributes + * NONNULL is not used if SECP256K1_BUILD is set to avoid the compiler optimizing out + * some paranoid null checks. */ +# if defined(__GNUC__) && SECP256K1_GNUC_PREREQ(3, 4) +# define SECP256K1_WARN_UNUSED_RESULT __attribute__ ((__warn_unused_result__)) +# else +# define SECP256K1_WARN_UNUSED_RESULT +# endif +# if !defined(SECP256K1_BUILD) && defined(__GNUC__) && SECP256K1_GNUC_PREREQ(3, 4) +# define SECP256K1_ARG_NONNULL(_x) __attribute__ ((__nonnull__(_x))) +# else +# define SECP256K1_ARG_NONNULL(_x) +# endif + +#endif /* SECP256K1_H */ diff --git a/secp256k1/secp256k1_impl.h b/secp256k1/secp256k1_impl.h new file mode 100644 index 00000000000..81f39df562c --- /dev/null +++ b/secp256k1/secp256k1_impl.h @@ -0,0 +1,67 @@ +/*********************************************************************** + * Copyright (c) 2013-2015 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_IMPL_H +#define SECP256K1_IMPL_H + +#define SECP256K1_BUILD + +#include "secp256k1.h" + +#include "assumptions.h" +#include "util.h" +#include "field_impl.h" +#include "scalar_impl.h" +#include "group_impl.h" +#include "ecmult_impl.h" + +#ifdef SECP256K1_NO_BUILD +# error "secp256k1.h processed without SECP256K1_BUILD defined while building secp256k1.c" +#endif + +#define ARG_CHECK(cond) do { \ + if (EXPECT(!(cond), 0)) { \ + return 0; \ + } \ +} while(0) + +static int secp256k1_pubkey_load(secp256k1_ge* ge, const secp256k1_pubkey* pubkey) { + if (sizeof(secp256k1_ge_storage) == 64) { + /* When the secp256k1_ge_storage type is exactly 64 byte, use its + * representation inside secp256k1_pubkey, as conversion is very fast. + * Note that secp256k1_pubkey_save must use the same representation. */ + secp256k1_ge_storage s; + memcpy(&s, &pubkey->data[0], sizeof(s)); + secp256k1_ge_from_storage(ge, &s); + } else { + /* Otherwise, fall back to 32-byte big endian for X and Y. */ + secp256k1_fe x, y; + secp256k1_fe_set_b32(&x, pubkey->data); + secp256k1_fe_set_b32(&y, pubkey->data + 32); + secp256k1_ge_set_xy(ge, &x, &y); + } + ARG_CHECK(!secp256k1_fe_is_zero(&ge->x)); + return 1; +} + +static void secp256k1_pubkey_save(secp256k1_pubkey* pubkey, secp256k1_ge* ge) { + if (sizeof(secp256k1_ge_storage) == 64) { + secp256k1_ge_storage s; + secp256k1_ge_to_storage(&s, ge); + memcpy(&pubkey->data[0], &s, sizeof(s)); + } else { + VERIFY_CHECK(!secp256k1_ge_is_infinity(ge)); + secp256k1_fe_normalize_var(&ge->x); + secp256k1_fe_normalize_var(&ge->y); + secp256k1_fe_get_b32(pubkey->data, &ge->x); + secp256k1_fe_get_b32(pubkey->data + 32, &ge->y); + } +} + +#include "extrakeys_impl.h" +#include "schnorrsig_impl.h" + +#endif diff --git a/secp256k1/util.h b/secp256k1/util.h new file mode 100644 index 00000000000..17c761d4615 --- /dev/null +++ b/secp256k1/util.h @@ -0,0 +1,196 @@ +/*********************************************************************** + * Copyright (c) 2013, 2014 Pieter Wuille * + * Distributed under the MIT software license, see the accompanying * + * file COPYING or https://www.opensource.org/licenses/mit-license.php.* + ***********************************************************************/ + +#ifndef SECP256K1_UTIL_H +#define SECP256K1_UTIL_H + +#include +#include +#include + +#ifdef DETERMINISTIC +#define TEST_FAILURE(msg) do { \ + fprintf(stderr, "%s\n", msg); \ + abort(); \ +} while(0); +#else +#define TEST_FAILURE(msg) do { \ + fprintf(stderr, "%s:%d: %s\n", __FILE__, __LINE__, msg); \ + abort(); \ +} while(0) +#endif + +#if SECP256K1_GNUC_PREREQ(3, 0) +#define EXPECT(x,c) __builtin_expect((x),(c)) +#else +#define EXPECT(x,c) (x) +#endif + +#ifdef DETERMINISTIC +#define CHECK(cond) do { \ + if (EXPECT(!(cond), 0)) { \ + TEST_FAILURE("test condition failed"); \ + } \ +} while(0) +#else +#define CHECK(cond) do { \ + if (EXPECT(!(cond), 0)) { \ + TEST_FAILURE("test condition failed: " #cond); \ + } \ +} while(0) +#endif + +/* Like assert(), but when VERIFY is defined, and side-effect safe. */ +#if defined(COVERAGE) +#define VERIFY_CHECK(check) +#define VERIFY_SETUP(stmt) +#elif defined(VERIFY) +#define VERIFY_CHECK CHECK +#define VERIFY_SETUP(stmt) do { stmt; } while(0) +#else +#define VERIFY_CHECK(cond) do { (void)(cond); } while(0) +#define VERIFY_SETUP(stmt) +#endif + +/* Define `VG_UNDEF` and `VG_CHECK` when VALGRIND is defined */ +#if !defined(VG_CHECK) +# if defined(VALGRIND) +# include +# define VG_UNDEF(x,y) VALGRIND_MAKE_MEM_UNDEFINED((x),(y)) +# define VG_CHECK(x,y) VALGRIND_CHECK_MEM_IS_DEFINED((x),(y)) +# else +# define VG_UNDEF(x,y) +# define VG_CHECK(x,y) +# endif +#endif + +/* Like `VG_CHECK` but on VERIFY only */ +#if defined(VERIFY) +#define VG_CHECK_VERIFY(x,y) VG_CHECK((x), (y)) +#else +#define VG_CHECK_VERIFY(x,y) +#endif + +/* Macro for restrict, when available and not in a VERIFY build. */ +#if defined(SECP256K1_BUILD) && defined(VERIFY) +# define SECP256K1_RESTRICT +#else +# define SECP256K1_RESTRICT restrict +#endif + +#if defined(__GNUC__) +# define SECP256K1_GNUC_EXT __extension__ +#else +# define SECP256K1_GNUC_EXT +#endif + +/** Semantics like memcmp. Variable-time. + * + * We use this to avoid possible compiler bugs with memcmp, e.g. + * https://gcc.gnu.org/bugzilla/show_bug.cgi?id=95189 + */ +static SECP256K1_INLINE int secp256k1_memcmp_var(const void *s1, const void *s2, size_t n) { + const unsigned char *p1 = s1, *p2 = s2; + size_t i; + + for (i = 0; i < n; i++) { + int diff = p1[i] - p2[i]; + if (diff != 0) { + return diff; + } + } + return 0; +} + +/* If USE_FORCE_WIDEMUL_{INT128,INT64} is set, use that wide multiplication implementation. + * Otherwise use the presence of __SIZEOF_INT128__ to decide. + */ +#if defined(USE_FORCE_WIDEMUL_INT128) +# define SECP256K1_WIDEMUL_INT128 1 +#elif defined(USE_FORCE_WIDEMUL_INT64) +# define SECP256K1_WIDEMUL_INT64 1 +#elif defined(UINT128_MAX) || defined(__SIZEOF_INT128__) +# define SECP256K1_WIDEMUL_INT128 1 +#else +# define SECP256K1_WIDEMUL_INT64 1 +#endif +#if defined(SECP256K1_WIDEMUL_INT128) +# if !defined(UINT128_MAX) && defined(__SIZEOF_INT128__) +SECP256K1_GNUC_EXT typedef unsigned __int128 uint128_t; +SECP256K1_GNUC_EXT typedef __int128 int128_t; +#define UINT128_MAX ((uint128_t)(-1)) +#define INT128_MAX ((int128_t)(UINT128_MAX >> 1)) +#define INT128_MIN (-INT128_MAX - 1) +/* No (U)INT128_C macros because compilers providing __int128 do not support 128-bit literals. */ +# endif +#endif + +#ifndef __has_builtin +#define __has_builtin(x) 0 +#endif + +/* Determine the number of trailing zero bits in a (non-zero) 32-bit x. + * This function is only intended to be used as fallback for + * secp256k1_ctz32_var, but permits it to be tested separately. */ +static SECP256K1_INLINE int secp256k1_ctz32_var_debruijn(uint32_t x) { + static const uint8_t debruijn[32] = { + 0x00, 0x01, 0x02, 0x18, 0x03, 0x13, 0x06, 0x19, 0x16, 0x04, 0x14, 0x0A, + 0x10, 0x07, 0x0C, 0x1A, 0x1F, 0x17, 0x12, 0x05, 0x15, 0x09, 0x0F, 0x0B, + 0x1E, 0x11, 0x08, 0x0E, 0x1D, 0x0D, 0x1C, 0x1B + }; + return debruijn[((x & -x) * 0x04D7651F) >> 27]; +} + +/* Determine the number of trailing zero bits in a (non-zero) 64-bit x. + * This function is only intended to be used as fallback for + * secp256k1_ctz64_var, but permits it to be tested separately. */ +static SECP256K1_INLINE int secp256k1_ctz64_var_debruijn(uint64_t x) { + static const uint8_t debruijn[64] = { + 0, 1, 2, 53, 3, 7, 54, 27, 4, 38, 41, 8, 34, 55, 48, 28, + 62, 5, 39, 46, 44, 42, 22, 9, 24, 35, 59, 56, 49, 18, 29, 11, + 63, 52, 6, 26, 37, 40, 33, 47, 61, 45, 43, 21, 23, 58, 17, 10, + 51, 25, 36, 32, 60, 20, 57, 16, 50, 31, 19, 15, 30, 14, 13, 12 + }; + return debruijn[((x & -x) * 0x022FDD63CC95386D) >> 58]; +} + +/* Determine the number of trailing zero bits in a (non-zero) 32-bit x. */ +static SECP256K1_INLINE int secp256k1_ctz32_var(uint32_t x) { + VERIFY_CHECK(x != 0); +#if (__has_builtin(__builtin_ctz) || SECP256K1_GNUC_PREREQ(3,4)) + /* If the unsigned type is sufficient to represent the largest uint32_t, consider __builtin_ctz. */ + if (((unsigned)UINT32_MAX) == UINT32_MAX) { + return __builtin_ctz(x); + } +#endif +#if (__has_builtin(__builtin_ctzl) || SECP256K1_GNUC_PREREQ(3,4)) + /* Otherwise consider __builtin_ctzl (the unsigned long type is always at least 32 bits). */ + return __builtin_ctzl(x); +#else + /* If no suitable CTZ builtin is available, use a (variable time) software emulation. */ + return secp256k1_ctz32_var_debruijn(x); +#endif +} + +/* Determine the number of trailing zero bits in a (non-zero) 64-bit x. */ +static SECP256K1_INLINE int secp256k1_ctz64_var(uint64_t x) { + VERIFY_CHECK(x != 0); +#if (__has_builtin(__builtin_ctzl) || SECP256K1_GNUC_PREREQ(3,4)) + /* If the unsigned long type is sufficient to represent the largest uint64_t, consider __builtin_ctzl. */ + if (((unsigned long)UINT64_MAX) == UINT64_MAX) { + return __builtin_ctzl(x); + } +#endif +#if (__has_builtin(__builtin_ctzll) || SECP256K1_GNUC_PREREQ(3,4)) + /* Otherwise consider __builtin_ctzll (the unsigned long long type is always at least 64 bits). */ + return __builtin_ctzll(x); +#else + /* If no suitable CTZ builtin is available, use a (variable time) software emulation. */ + return secp256k1_ctz64_var_debruijn(x); +#endif +} + +#endif /* SECP256K1_UTIL_H */ diff --git a/sha256.c b/sha256.c new file mode 100644 index 00000000000..1f7fd4e9643 --- /dev/null +++ b/sha256.c @@ -0,0 +1,195 @@ +/* Parts translated from Bitcoin Core's C++ project: + * src/crypto/sha256.cpp commit eb7daf4d600eeb631427c018a984a77a34aca66e + * + * Copyright (c) 2014-2018 The Bitcoin Core developers + * Distributed under the MIT software license, see the accompanying + * file COPYING or http://www.opensource.org/licenses/mit-license.php. + */ +#include "sha256.h" + +#include +#include + +/* Multiplying a uint32_t by 1U promotes a value's type to the wider of unsigned int and uint32_t, + * avoiding any possible issues with signed integer promotions causing havoc with unsigned modular arithmetic. + */ +static inline uint32_t Ch(uint32_t x, uint32_t y, uint32_t z) { return z ^ (x & (y ^ z)); } +static inline uint32_t Maj(uint32_t x, uint32_t y, uint32_t z) { return (x & y) | (z & (x | y)); } +static inline uint32_t Sigma0(uint32_t x) { return (x >> 2 | 1U * x << 30) ^ (x >> 13 | 1U * x << 19) ^ (x >> 22 | 1U * x << 10); } +static inline uint32_t Sigma1(uint32_t x) { return (x >> 6 | 1U * x << 26) ^ (x >> 11 | 1U * x << 21) ^ (x >> 25 | 1U * x << 7); } +static inline uint32_t sigma0(uint32_t x) { return (x >> 7 | 1U * x << 25) ^ (x >> 18 | 1U * x << 14) ^ (x >> 3); } +static inline uint32_t sigma1(uint32_t x) { return (x >> 17 | 1U * x << 15) ^ (x >> 19 | 1U * x << 13) ^ (x >> 10); } + +/* One round of SHA-256. + * + * Precondition: NULL != d + * NULL != h + * d != h + */ +static inline void Round(uint32_t a, uint32_t b, uint32_t c, uint32_t* d, uint32_t e, uint32_t f, uint32_t g, uint32_t* h, uint32_t k) { + uint32_t t1 = 1U * *h + Sigma1(e) + Ch(e, f, g) + k; + uint32_t t2 = 1U * Sigma0(a) + Maj(a, b, c); + *d = 1U * *d + t1; + *h = 1U * t1 + t2; +} + +/* Given a 256-bit 's' and a 512-bit 'chunk', then 's' becomes the value of the SHA-256 compression function ("added" to the original 's' value). + * + * Precondition: uint32_t s[8]; + * uint32_t chunk[16] + */ +void sha256_compression(uint32_t* s, const uint32_t* chunk) { + uint32_t a = s[0], b = s[1], c = s[2], d = s[3], e = s[4], f = s[5], g = s[6], h = s[7]; + uint32_t w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, w11, w12, w13, w14, w15; + + Round(a, b, c, &d, e, f, g, &h, 0x428a2f98U + (w0 = chunk[0])); + Round(h, a, b, &c, d, e, f, &g, 0x71374491U + (w1 = chunk[1])); + Round(g, h, a, &b, c, d, e, &f, 0xb5c0fbcfU + (w2 = chunk[2])); + Round(f, g, h, &a, b, c, d, &e, 0xe9b5dba5U + (w3 = chunk[3])); + Round(e, f, g, &h, a, b, c, &d, 0x3956c25bU + (w4 = chunk[4])); + Round(d, e, f, &g, h, a, b, &c, 0x59f111f1U + (w5 = chunk[5])); + Round(c, d, e, &f, g, h, a, &b, 0x923f82a4U + (w6 = chunk[6])); + Round(b, c, d, &e, f, g, h, &a, 0xab1c5ed5U + (w7 = chunk[7])); + Round(a, b, c, &d, e, f, g, &h, 0xd807aa98U + (w8 = chunk[8])); + Round(h, a, b, &c, d, e, f, &g, 0x12835b01U + (w9 = chunk[9])); + Round(g, h, a, &b, c, d, e, &f, 0x243185beU + (w10 = chunk[10])); + Round(f, g, h, &a, b, c, d, &e, 0x550c7dc3U + (w11 = chunk[11])); + Round(e, f, g, &h, a, b, c, &d, 0x72be5d74U + (w12 = chunk[12])); + Round(d, e, f, &g, h, a, b, &c, 0x80deb1feU + (w13 = chunk[13])); + Round(c, d, e, &f, g, h, a, &b, 0x9bdc06a7U + (w14 = chunk[14])); + Round(b, c, d, &e, f, g, h, &a, 0xc19bf174U + (w15 = chunk[15])); + + Round(a, b, c, &d, e, f, g, &h, 0xe49b69c1U + (w0 = 1U * w0 + sigma1(w14) + w9 + sigma0(w1))); + Round(h, a, b, &c, d, e, f, &g, 0xefbe4786U + (w1 = 1U * w1 + sigma1(w15) + w10 + sigma0(w2))); + Round(g, h, a, &b, c, d, e, &f, 0x0fc19dc6U + (w2 = 1U * w2 + sigma1(w0) + w11 + sigma0(w3))); + Round(f, g, h, &a, b, c, d, &e, 0x240ca1ccU + (w3 = 1U * w3 + sigma1(w1) + w12 + sigma0(w4))); + Round(e, f, g, &h, a, b, c, &d, 0x2de92c6fU + (w4 = 1U * w4 + sigma1(w2) + w13 + sigma0(w5))); + Round(d, e, f, &g, h, a, b, &c, 0x4a7484aaU + (w5 = 1U * w5 + sigma1(w3) + w14 + sigma0(w6))); + Round(c, d, e, &f, g, h, a, &b, 0x5cb0a9dcU + (w6 = 1U * w6 + sigma1(w4) + w15 + sigma0(w7))); + Round(b, c, d, &e, f, g, h, &a, 0x76f988daU + (w7 = 1U * w7 + sigma1(w5) + w0 + sigma0(w8))); + Round(a, b, c, &d, e, f, g, &h, 0x983e5152U + (w8 = 1U * w8 + sigma1(w6) + w1 + sigma0(w9))); + Round(h, a, b, &c, d, e, f, &g, 0xa831c66dU + (w9 = 1U * w9 + sigma1(w7) + w2 + sigma0(w10))); + Round(g, h, a, &b, c, d, e, &f, 0xb00327c8U + (w10 = 1U * w10 + sigma1(w8) + w3 + sigma0(w11))); + Round(f, g, h, &a, b, c, d, &e, 0xbf597fc7U + (w11 = 1U * w11 + sigma1(w9) + w4 + sigma0(w12))); + Round(e, f, g, &h, a, b, c, &d, 0xc6e00bf3U + (w12 = 1U * w12 + sigma1(w10) + w5 + sigma0(w13))); + Round(d, e, f, &g, h, a, b, &c, 0xd5a79147U + (w13 = 1U * w13 + sigma1(w11) + w6 + sigma0(w14))); + Round(c, d, e, &f, g, h, a, &b, 0x06ca6351U + (w14 = 1U * w14 + sigma1(w12) + w7 + sigma0(w15))); + Round(b, c, d, &e, f, g, h, &a, 0x14292967U + (w15 = 1U * w15 + sigma1(w13) + w8 + sigma0(w0))); + + Round(a, b, c, &d, e, f, g, &h, 0x27b70a85U + (w0 = 1U * w0 + sigma1(w14) + w9 + sigma0(w1))); + Round(h, a, b, &c, d, e, f, &g, 0x2e1b2138U + (w1 = 1U * w1 + sigma1(w15) + w10 + sigma0(w2))); + Round(g, h, a, &b, c, d, e, &f, 0x4d2c6dfcU + (w2 = 1U * w2 + sigma1(w0) + w11 + sigma0(w3))); + Round(f, g, h, &a, b, c, d, &e, 0x53380d13U + (w3 = 1U * w3 + sigma1(w1) + w12 + sigma0(w4))); + Round(e, f, g, &h, a, b, c, &d, 0x650a7354U + (w4 = 1U * w4 + sigma1(w2) + w13 + sigma0(w5))); + Round(d, e, f, &g, h, a, b, &c, 0x766a0abbU + (w5 = 1U * w5 + sigma1(w3) + w14 + sigma0(w6))); + Round(c, d, e, &f, g, h, a, &b, 0x81c2c92eU + (w6 = 1U * w6 + sigma1(w4) + w15 + sigma0(w7))); + Round(b, c, d, &e, f, g, h, &a, 0x92722c85U + (w7 = 1U * w7 + sigma1(w5) + w0 + sigma0(w8))); + Round(a, b, c, &d, e, f, g, &h, 0xa2bfe8a1U + (w8 = 1U * w8 + sigma1(w6) + w1 + sigma0(w9))); + Round(h, a, b, &c, d, e, f, &g, 0xa81a664bU + (w9 = 1U * w9 + sigma1(w7) + w2 + sigma0(w10))); + Round(g, h, a, &b, c, d, e, &f, 0xc24b8b70U + (w10 = 1U * w10 + sigma1(w8) + w3 + sigma0(w11))); + Round(f, g, h, &a, b, c, d, &e, 0xc76c51a3U + (w11 = 1U * w11 + sigma1(w9) + w4 + sigma0(w12))); + Round(e, f, g, &h, a, b, c, &d, 0xd192e819U + (w12 = 1U * w12 + sigma1(w10) + w5 + sigma0(w13))); + Round(d, e, f, &g, h, a, b, &c, 0xd6990624U + (w13 = 1U * w13 + sigma1(w11) + w6 + sigma0(w14))); + Round(c, d, e, &f, g, h, a, &b, 0xf40e3585U + (w14 = 1U * w14 + sigma1(w12) + w7 + sigma0(w15))); + Round(b, c, d, &e, f, g, h, &a, 0x106aa070U + (w15 = 1U * w15 + sigma1(w13) + w8 + sigma0(w0))); + + Round(a, b, c, &d, e, f, g, &h, 0x19a4c116U + (w0 = 1U * w0 + sigma1(w14) + w9 + sigma0(w1))); + Round(h, a, b, &c, d, e, f, &g, 0x1e376c08U + (w1 = 1U * w1 + sigma1(w15) + w10 + sigma0(w2))); + Round(g, h, a, &b, c, d, e, &f, 0x2748774cU + (w2 = 1U * w2 + sigma1(w0) + w11 + sigma0(w3))); + Round(f, g, h, &a, b, c, d, &e, 0x34b0bcb5U + (w3 = 1U * w3 + sigma1(w1) + w12 + sigma0(w4))); + Round(e, f, g, &h, a, b, c, &d, 0x391c0cb3U + (w4 = 1U * w4 + sigma1(w2) + w13 + sigma0(w5))); + Round(d, e, f, &g, h, a, b, &c, 0x4ed8aa4aU + (w5 = 1U * w5 + sigma1(w3) + w14 + sigma0(w6))); + Round(c, d, e, &f, g, h, a, &b, 0x5b9cca4fU + (w6 = 1U * w6 + sigma1(w4) + w15 + sigma0(w7))); + Round(b, c, d, &e, f, g, h, &a, 0x682e6ff3U + (w7 = 1U * w7 + sigma1(w5) + w0 + sigma0(w8))); + Round(a, b, c, &d, e, f, g, &h, 0x748f82eeU + (w8 = 1U * w8 + sigma1(w6) + w1 + sigma0(w9))); + Round(h, a, b, &c, d, e, f, &g, 0x78a5636fU + (w9 = 1U * w9 + sigma1(w7) + w2 + sigma0(w10))); + Round(g, h, a, &b, c, d, e, &f, 0x84c87814U + (w10 = 1U * w10 + sigma1(w8) + w3 + sigma0(w11))); + Round(f, g, h, &a, b, c, d, &e, 0x8cc70208U + (w11 = 1U * w11 + sigma1(w9) + w4 + sigma0(w12))); + Round(e, f, g, &h, a, b, c, &d, 0x90befffaU + (w12 = 1U * w12 + sigma1(w10) + w5 + sigma0(w13))); + Round(d, e, f, &g, h, a, b, &c, 0xa4506cebU + (w13 = 1U * w13 + sigma1(w11) + w6 + sigma0(w14))); + Round(c, d, e, &f, g, h, a, &b, 0xbef9a3f7U + (1U * w14 + sigma1(w12) + w7 + sigma0(w15))); + Round(b, c, d, &e, f, g, h, &a, 0xc67178f2U + (1U * w15 + sigma1(w13) + w8 + sigma0(w0))); + + s[0] = 1U * s[0] + a; + s[1] = 1U * s[1] + b; + s[2] = 1U * s[2] + c; + s[3] = 1U * s[3] + d; + s[4] = 1U * s[4] + e; + s[5] = 1U * s[5] + f; + s[6] = 1U * s[6] + g; + s[7] = 1U * s[7] + h; +} + +/* Given a SHA-256 midstate, 'h', of 'len / 512' blocks, and + * a 'block' with 'len % 512' bits set and with the remaining bits set to 0, + * finalize the SHA-256 computation by adding SHA-256 padding and set 'h' to the resulting SHA-256 hash. + * + * Precondition: uint32_t h[8]; + * uint32_t block[16]; + */ +static void sha256_end(uint32_t* h, uint32_t* block, const uint_fast64_t len) { + block[len / 32 % 16] |= (uint32_t)1 << (31 - len % 32); + if (448 <= len % 512) { + sha256_compression(h, block); + memset(block, 0, sizeof(uint32_t[14])); + } + block[14] = (uint32_t)(len >> 32); + block[15] = (uint32_t)len; + sha256_compression(h, block); +} + +/* Compute the SHA-256 hash, 'h', of the bitstring represented by 's'. + * + * Precondition: uint32_t h[8]; + * '*s' is a valid bitstring; + * 's->len < 2^64; + */ +void sha256_bitstring(uint32_t* h, const bitstring* s) { + /* This static assert should never fail if uint32_t exists. + * But for more certainty, we note that the correctness of this implementation depends on CHAR_BIT being no more than 32. + */ + static_assert(CHAR_BIT <= 32, "CHAR_BIT has to be less than 32 for uint32_t to even exist."); + + uint32_t block[16] = { 0 }; + size_t count = 0; + sha256_iv(h); + if (s->len) { + block[0] = s->arr[s->offset / CHAR_BIT]; + if (s->len < CHAR_BIT - s->offset % CHAR_BIT) { + /* s->len is so short that we don't even use a whole char. + * Zero out the low bits. + */ + block[0] = block[0] >> (CHAR_BIT - s->offset % CHAR_BIT - s->len) + << (CHAR_BIT - s->offset % CHAR_BIT - s->len); + count = s->len; + } else { + count = CHAR_BIT - s->offset % CHAR_BIT; + } + block[0] = 1U * block[0] << (32 - CHAR_BIT + s->offset % CHAR_BIT); + + while (count < s->len) { + unsigned char ch = s->arr[(s->offset + count)/CHAR_BIT]; + size_t delta = CHAR_BIT; + if (s->len - count < CHAR_BIT) { + delta = s->len - count; + /* Zero out any extra low bits that 'ch' may have. */ + ch = (unsigned char)(ch >> (CHAR_BIT - delta) << (CHAR_BIT - delta)); + } + + if (count / 32 != (count + CHAR_BIT) / 32) { + /* The next character from s->arr straddles (or almost straddles) the boundary of two elements of the block array. */ + block[count / 32 % 16] |= (uint32_t)((uint_fast32_t)ch >> (count + CHAR_BIT) % 32); + if (count / 512 != (count + delta) / 512) { + sha256_compression(h, block); + memset(block, 0, sizeof(uint32_t[16])); + } + } + if ((count + CHAR_BIT) % 32) { + block[(count + CHAR_BIT) / 32 % 16] |= (uint32_t)(1U * (uint_fast32_t)ch << (32 - (count + CHAR_BIT) % 32)); + } + count += delta; + } + } + assert(count == s->len); + sha256_end(h, block, s->len); +} diff --git a/sha256.h b/sha256.h new file mode 100644 index 00000000000..b903ef8889a --- /dev/null +++ b/sha256.h @@ -0,0 +1,317 @@ +#ifndef SIMPLICITY_SHA256_H +#define SIMPLICITY_SHA256_H + +#include +#include +#include +#include "bitstring.h" + +/* A struct holding the 256-bit array of a SHA-256 hash or midstate. + */ +typedef struct sha256_midstate { + uint32_t s[8]; +} sha256_midstate; + +/* Packs (the 8 least significant bits of) 8 'unsigned char's into a 'uint_fast64_t' in "big endian" order. + * + * Precondition: unsigned char b[8] + */ +static inline uint_fast64_t ReadBE64(const unsigned char* b) { + return (uint_fast64_t)(b[0] & 0xff) << 56 + | (uint_fast64_t)(b[1] & 0xff) << 48 + | (uint_fast64_t)(b[2] & 0xff) << 40 + | (uint_fast64_t)(b[3] & 0xff) << 32 + | (uint_fast64_t)(b[4] & 0xff) << 24 + | (uint_fast64_t)(b[5] & 0xff) << 16 + | (uint_fast64_t)(b[6] & 0xff) << 8 + | (uint_fast64_t)(b[7] & 0xff); +} + +/* Packs (the 8 least significant bits of) 4 'unsigned char's into a 'uint32_t' in "big endian" order. + * + * Precondition: unsigned char b[4] + */ +static inline uint32_t ReadBE32(const unsigned char* b) { + return (uint32_t)(b[0]) << 24 + | (uint32_t)(b[1] & 0xff) << 16 + | (uint32_t)(b[2] & 0xff) << 8 + | (uint32_t)(b[3] & 0xff); +} + +/* Unpacks the 8 least significant bytes from a 'uint_fast64_t' into an 'unsigned char' array in "big endian" order. + * + * Precondition: unsigned char ptr[8] + */ +static inline void WriteBE64(unsigned char* ptr, uint_fast64_t x) { + ptr[0] = (unsigned char)(0xff & x >> 56); + ptr[1] = 0xff & x >> 48; + ptr[2] = 0xff & x >> 40; + ptr[3] = 0xff & x >> 32; + ptr[4] = 0xff & x >> 24; + ptr[5] = 0xff & x >> 16; + ptr[6] = 0xff & x >> 8; + ptr[7] = 0xff & x; +} + +/* Unpacks 4 bytes from a 'uint_fast32_t' into an 'unsigned char' array in "big endian" order. + * + * Precondition: unsigned char ptr[4] + */ +static inline void WriteBE32(unsigned char* ptr, uint_fast32_t x) { + ptr[0] = (unsigned char)(x >> 24); + ptr[1] = (x >> 16) & 0xff; + ptr[2] = (x >> 8) & 0xff; + ptr[3] = x & 0xff; +} + +/* Unpacks 4 bytes from a 'uint_fast32_t' into an 'unsigned char' array in "little endian" order. + * + * Precondition: unsigned char ptr[4] + */ +static inline void WriteLE32(unsigned char* ptr, uint_fast32_t x) { + ptr[3] = (unsigned char)(0xff & x >> 24); + ptr[2] = 0xff & x >> 16; + ptr[1] = 0xff & x >> 8; + ptr[0] = 0xff & x; +} + +/* Coverts a given 'midstate' value to a 'hash' value as 32 bytes stored in an unsigned char array. + * + * Precondition: unsigned char hash[32]; + * uint32_t midstate[8] + */ +static inline void sha256_fromMidstate(unsigned char* hash, const uint32_t* midstate) { + WriteBE32(hash + 0*4, midstate[0]); + WriteBE32(hash + 1*4, midstate[1]); + WriteBE32(hash + 2*4, midstate[2]); + WriteBE32(hash + 3*4, midstate[3]); + WriteBE32(hash + 4*4, midstate[4]); + WriteBE32(hash + 5*4, midstate[5]); + WriteBE32(hash + 6*4, midstate[6]); + WriteBE32(hash + 7*4, midstate[7]); +} + +/* Coverts a given 'hash' value as 32 bytes stored in an unsigned char array to a 'midstate' value. + * + * Precondition: uint32_t midstate[8]; + * unsigned char hash[32] + */ +static inline void sha256_toMidstate(uint32_t* midstate, const unsigned char* hash) { + midstate[0] = ReadBE32(hash + 0*4); + midstate[1] = ReadBE32(hash + 1*4); + midstate[2] = ReadBE32(hash + 2*4); + midstate[3] = ReadBE32(hash + 3*4); + midstate[4] = ReadBE32(hash + 4*4); + midstate[5] = ReadBE32(hash + 5*4); + midstate[6] = ReadBE32(hash + 6*4); + midstate[7] = ReadBE32(hash + 7*4); +} + +/* Sets the value of 'iv' to SHA-256's initial value. + * + * Precondition: uint32_t iv[8] + */ +static inline void sha256_iv(uint32_t* iv) { + iv[0] = 0x6a09e667ul; + iv[1] = 0xbb67ae85ul; + iv[2] = 0x3c6ef372ul; + iv[3] = 0xa54ff53aul; + iv[4] = 0x510e527ful; + iv[5] = 0x9b05688cul; + iv[6] = 0x1f83d9abul; + iv[7] = 0x5be0cd19ul; +} + +/* Given a 256-bit 'midstate' and a 512-bit 'block', then 'midstate' becomes the value of the SHA-256 compression function ("added" to the original 'midstate' value). + * + * Precondition: uint32_t midstate[8]; + * uint32_t block[16] + */ +void sha256_compression(uint32_t* midstate, const uint32_t* block); + +/* Compute the SHA-256 hash, 'h', of the bitstring represented by 's'. + * + * Precondition: uint32_t h[8]; + * '*s' is a valid bitstring; + */ +void sha256_bitstring(uint32_t* h, const bitstring* s); + +/* Given a 256-bit 's' and a 512-bit 'chunk', then 's' becomes the value of the SHA-256 compression function ("added" to the original 's' value). + * + * Precondition: uint32_t s[8]; + * unsigned char chunk[64] + */ +static void sha256_compression_uchar(uint32_t* s, const unsigned char* chunk) { + sha256_compression(s, (const uint32_t[16]) + { ReadBE32(chunk + 4*0) + , ReadBE32(chunk + 4*1) + , ReadBE32(chunk + 4*2) + , ReadBE32(chunk + 4*3) + , ReadBE32(chunk + 4*4) + , ReadBE32(chunk + 4*5) + , ReadBE32(chunk + 4*6) + , ReadBE32(chunk + 4*7) + , ReadBE32(chunk + 4*8) + , ReadBE32(chunk + 4*9) + , ReadBE32(chunk + 4*10) + , ReadBE32(chunk + 4*11) + , ReadBE32(chunk + 4*12) + , ReadBE32(chunk + 4*13) + , ReadBE32(chunk + 4*14) + , ReadBE32(chunk + 4*15) + }); +} + +/* This next section implements a (typical) byte-oriented interface to SHA-256 that consumes the 8 least significant bits of + * an 'unsigned char' in big endian order. + */ + +/* This is the context structure for an ongoing SHA-256 evaluation. + * It has a pointer to the output buffer, which is modified during evaluation to also hold the current SHA-256 midstate. + * It has a counter to track the number of bytes consumed so far. + * It has a block of bytes that are queued up that have been consumed but not digested. + * + * Invariant: uint32_t output[8] + */ +typedef struct sha256_context { + uint32_t* const output; + uint_fast64_t counter; + unsigned char block[64]; + bool overflow; +} sha256_context; + +/* SHA-256 is limited to strictly less than 2^64 bits or 2^56 bytes of data. + * This limit cannot be reached in practice under proper use of the SHA-256 interface. + * However some jets in simplicity load and store this context and it is easy to syntesize contexts with absurdly large counter values. + */ +static const uint_fast64_t sha256_max_counter = 0x2000000000000000; + +/* Initialize a sha256_context given a buffer in which the final output will be written to. + * Note that the 'output' buffer may be updated during the computation to hold a SHA-256 midstate. + * + * Precondition: unit32_t output[8] + */ +static inline sha256_context sha256_init(uint32_t* output) { + sha256_iv(output); + return (sha256_context){ .output = output }; +} + +/* Add an array of bytes to be consumed by an ongoing SHA-256 evaluation. + * Returns false if the counter overflows. + * + * Precondition: NULL != ctx; + * if 0 < len then unsigned char arr[len]; + */ +static inline bool sha256_uchars(sha256_context* ctx, const unsigned char* arr, size_t len) { + size_t delta = 64 - ctx->counter % 64; + unsigned char *block = ctx->block + ctx->counter % 64; + ctx->overflow = ctx->overflow || sha256_max_counter - ctx->counter <= len; + ctx->counter += len; + + while (delta <= len) { + memcpy(block, arr, delta); + arr += delta; + len -= delta; + sha256_compression_uchar(ctx->output, ctx->block); + block = ctx->block; + delta = 64; + } + + if (len) memcpy(block, arr, len); + return !ctx->overflow; +} + +/* Add one byte to be consumed by an ongoing SHA-256 evaluation. + * + * Returns false if the counter overflows. + * + * Precondition: NULL != ctx; + */ +static inline bool sha256_uchar(sha256_context* ctx, unsigned char x) { + return sha256_uchars(ctx, &x, 1); +} + +/* Add a 64-bit word to be consumed in big endian order by an ongoing SHA-256 evaluation. + * For greater certainty, only the least 64 bits of 'x' are consumed. + * + * Returns false if the counter overflows. + * + * Precondition: NULL != ctx; + */ +static inline bool sha256_u64be(sha256_context* ctx, uint_fast64_t x) { + unsigned char buf[8]; + WriteBE64(buf, x); + return sha256_uchars(ctx, buf, sizeof(buf)); +} + +/* Add a 32-bit word to be consumed in little endian byte-order by an ongoing SHA-256 evaluation. + * For greater certainty, only the least 32 bits of 'x' are consumed. + * Furthermore the bits within each byte are consumed in big endian order. + * + * Returns false if the counter overflows. + * + * Precondition: NULL != ctx; + */ +static inline bool sha256_u32le(sha256_context* ctx, uint_fast32_t x) { + unsigned char buf[4]; + WriteLE32(buf, x); + return sha256_uchars(ctx, buf, sizeof(buf)); +} + +/* Add a 32-bit word to be consumed in big endian byte-order by an ongoing SHA-256 evaluation. + * For greater certainty, only the least 32 bits of 'x' are consumed. + * Furthermore the bits within each byte are consumed in big endian order. + * + * Returns false if the counter overflows. + * + * Precondition: NULL != ctx; + */ +static inline bool sha256_u32be(sha256_context* ctx, uint_fast32_t x) { + unsigned char buf[4]; + WriteBE32(buf, x); + return sha256_uchars(ctx, buf, sizeof(buf)); +} + +/* Finish the SHA-256 computation by consuming and digesting the SHA-256 padding. + * The final result is stored in the original 'output' buffer that was given to 'sha256_init'. + * + * Returns false if the counter had overflowed. + * + * Precondition: NULL != ctx; + */ +static inline bool sha256_finalize(sha256_context* ctx) { + bool result = !ctx->overflow; + uint_fast64_t length = ctx->counter * 8; + sha256_uchars(ctx, (const unsigned char[64]){0x80}, 1 + (64 + 56 - ctx->counter % 64 - 1) % 64); + sha256_u64be(ctx, length); + return result; +} + +/* Add a 256-bit hash to be consumed by an ongoing SHA-256 evaluation. + * + * Precondition: NULL != ctx; + * NULL != h; + */ +static inline void sha256_hash(sha256_context* ctx, const sha256_midstate* h) { + unsigned char buf[32]; + sha256_fromMidstate(buf, h->s); + sha256_uchars(ctx, buf, sizeof(buf)); +} + +/* Compare two hash interprted as big endian values. + * + * Precondition: NULL != a; + * NULL != b; + */ +static inline int sha256_cmp_be(const sha256_midstate* a, const sha256_midstate* b) { + if (a->s[0] != b->s[0]) return a->s[0] < b->s[0] ? -1 : 1; + if (a->s[1] != b->s[1]) return a->s[1] < b->s[1] ? -1 : 1; + if (a->s[2] != b->s[2]) return a->s[2] < b->s[2] ? -1 : 1; + if (a->s[3] != b->s[3]) return a->s[3] < b->s[3] ? -1 : 1; + if (a->s[4] != b->s[4]) return a->s[4] < b->s[4] ? -1 : 1; + if (a->s[5] != b->s[5]) return a->s[5] < b->s[5] ? -1 : 1; + if (a->s[6] != b->s[6]) return a->s[6] < b->s[6] ? -1 : 1; + if (a->s[7] != b->s[7]) return a->s[7] < b->s[7] ? -1 : 1; + return 0; +} +#endif diff --git a/tag.h b/tag.h new file mode 100644 index 00000000000..8cb4714fa31 --- /dev/null +++ b/tag.h @@ -0,0 +1,41 @@ +#ifndef SIMPLICITY_TAG_H +#define SIMPLICITY_TAG_H + +#include +#include "sha256.h" +#include "ascii.h" + +/* Create a SHA-256 tagged hash in the style of BIP-0340. + * + * This function can be used in two ways. + * The first way is to use this function to initialize a new 'sha256_context' by providing the output buffer and the tag. + * The second way is to ignore the return value of this function and use it to set the output buffer to the midstate generated by the tag. + * + * The 'tagName' is not expected to be 'NULL' terminated. + * + * Prefer to call this function through the 'MK_TAG' macro. + * + * Precondition: uint32_t output[8] + * unsigned char tagName[len]; + */ +static inline sha256_context mkTag(uint32_t* output, const unsigned char* tagName, const size_t len) { + sha256_context result = sha256_init(output); + sha256_midstate buffer; + { + sha256_context ctx = sha256_init(buffer.s); + sha256_uchars(&ctx, tagName, len); + sha256_finalize(&ctx); + } + + sha256_hash(&result, &buffer); + sha256_hash(&result, &buffer); + return result; +} + +/* The length of a string literal is one less than its sizeof due to the terminating 'NULL' character. */ +#define LENGTH_OF(s) (sizeof("" s) - 1) + +/* MK_TAG(output, s) takes a string literal, 's', and fills in the 'tagName' and 'len' arguments of 'mkTag' appropriately. */ +#define MK_TAG(output, s) (mkTag((output), (unsigned char []){"" s}, LENGTH_OF(s))) + +#endif diff --git a/test.c b/test.c new file mode 100644 index 00000000000..e15e29f75cb --- /dev/null +++ b/test.c @@ -0,0 +1,439 @@ +#include +#include +#include +#include +#include "dag.h" +#include "deserialize.h" +#include "eval.h" +#include "hashBlock.h" +#include "rsort.h" +#include "sha256.h" +#include "schnorr0.h" +#include "schnorr6.h" +#include "typeInference.h" +#include "primitive/elements/checkSigHashAllTx1.h" + +_Static_assert(CHAR_BIT == 8, "Buffers passed to fmemopen presume 8 bit chars"); + +static int successes = 0; +static int failures = 0; + +static void test_decodeUptoMaxInt(void) { + printf("Test decodeUptoMaxInt\n"); + const unsigned char buf[] = + { 0x4b, 0x86, 0x39, 0xe8, 0xdf, 0xc0, 0x38, 0x0f, 0x7f, 0xff, 0xff, 0x00 + , 0x00, 0x00, 0xf0, 0xe0, 0x00, 0x00, 0x00, 0x3c, 0x3b, 0xff, 0xff, 0xff + , 0xff, 0x0f, 0x00, 0x00, 0x00, 0x00 + }; + const int32_t expected[] = + { 1, 2, 3, 4, 5, 7, 8, 15, 16, 17 + , 0xffff, 0x10000, 0x40000000, 0x7fffffff, SIMPLICITY_ERR_DATA_OUT_OF_RANGE + }; + + bitstream stream = initializeBitstream(buf, sizeof(buf)); + for (size_t i = 0; i < sizeof(expected)/sizeof(expected[0]); ++i) { + int32_t result = decodeUptoMaxInt(&stream); + if (expected[i] == result) { + successes++; + } else { + failures++; + printf("Unexpected result during parsing. Expected %d and received %d\n", expected[i], result); + } + } +} + +static void test_hashBlock(void) { + printf("Test hashBlock\n"); + dag_node* dag; + combinator_counters census; + int32_t len, err = 0; + bitstring witness; + { + bitstream stream = initializeBitstream(hashBlock, sizeof_hashBlock); + len = decodeMallocDag(&dag, &census, &stream); + if (!dag) { + failures++; + printf("Error parsing dag: %d\n", len); + } else { + err = decodeWitnessData(&witness, &stream); + if (err < 0) { + failures++; + printf("Error parsing witness: %d\n", err); + } + } + } + if (dag && 0 <= err) { + successes++; + + if (0 == memcmp(hashBlock_cmr, dag[len-1].cmr.s, sizeof(uint32_t[8]))) { + successes++; + } else { + failures++; + printf("Unexpected CMR of hashblock\n"); + } + + type* type_dag; + if (!mallocTypeInference(&type_dag, dag, (size_t)len, &census) || !type_dag || + type_dag[dag[len-1].sourceType].bitSize != 768 || type_dag[dag[len-1].targetType].bitSize != 256) { + failures++; + printf("Unexpected failure of type inference for hashblock\n"); + } else if (!fillWitnessData(dag, type_dag, (size_t)len, witness)) { + failures++; + printf("Unexpected failure of fillWitnessData for hashblock\n"); + } else { + { + analyses analysis[len]; + computeAnnotatedMerkleRoot(analysis, dag, type_dag, (size_t)len); + if (0 == memcmp(hashBlock_amr, analysis[len-1].annotatedMerkleRoot.s, sizeof(uint32_t[8]))) { + successes++; + } else { + failures++; + printf("Unexpected AMR of hashblock\n"); + } + } + { + sha256_midstate imr[len]; + bool noDups; + if (verifyNoDuplicateIdentityRoots(&noDups, imr, dag, type_dag, (size_t)len) && noDups + && 0 == memcmp(hashBlock_imr, imr[len-1].s, sizeof(uint32_t[8]))) { + successes++; + } else { + failures++; + printf("Unexpected IMR of hashblock\n"); + } + } + + _Static_assert(UWORD_BIT - 1 <= SIZE_MAX - (256+512), "UWORD_BIT is far too large."); + UWORD output[ROUND_UWORD(256)]; + UWORD input[ROUND_UWORD(256+512)]; + { frameItem frame = initWriteFrame(256+512, &input[ROUND_UWORD(256+512)]); + /* Set SHA-256's initial value. */ + write32s(&frame, (uint32_t[8]) + { 0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19 } + , 8); + /* Set the block to be compressed to "abc" with padding. */ + write32s(&frame, (uint32_t[16]){ [0] = 0x61626380, [15] = 0x18 }, 16); + } + bool evalSuccess; + if (evalTCOExpression(&evalSuccess, CHECK_NONE, output, 256, input, 256+512, dag, type_dag, (size_t)len, NULL) && evalSuccess) { + /* The expected result is the value 'SHA256("abc")'. */ + const uint32_t expectedHash[8] = { 0xba7816bful, 0x8f01cfeaul, 0x414140deul, 0x5dae2223ul + , 0xb00361a3ul, 0x96177a9cul, 0xb410ff61ul, 0xf20015adul }; + frameItem frame = initReadFrame(256, &output[0]); + uint32_t result[8]; + read32s(result, 8, &frame); + if (0 == memcmp(expectedHash, result, sizeof(uint32_t[8]))) { + successes++; + } else { + failures++; + printf("Unexpected output of hashblock computation.\n"); + } + } else { + failures++; + printf("Unexpected failure of hashblock evaluation\n"); + } + } + free(type_dag); + } + free(dag); +} + +static void test_program(char* name, const unsigned char* program, size_t program_len, bool expectedResult, const uint32_t* expectedCMR, + const uint32_t* expectedIMR, const uint32_t* expectedAMR) { + printf("Test %s\n", name); + dag_node* dag; + combinator_counters census; + int32_t len, err = 0; + bitstring witness; + { + bitstream stream = initializeBitstream(program, program_len); + len = decodeMallocDag(&dag, &census, &stream); + if (!dag) { + failures++; + printf("Error parsing dag: %d\n", len); + } else { + err = decodeWitnessData(&witness, &stream); + if (err < 0) { + failures++; + printf("Error parsing witness: %d\n", err); + } + } + } + if (dag && 0 <= err) { + successes++; + + if (expectedCMR) { + if (0 == memcmp(expectedCMR, dag[len-1].cmr.s, sizeof(uint32_t[8]))) { + successes++; + } else { + failures++; + printf("Unexpected CMR.\n"); + } + } + type* type_dag; + if (!mallocTypeInference(&type_dag, dag, (size_t)len, &census) || !type_dag || + dag[len-1].sourceType != 0 || dag[len-1].targetType != 0) { + failures++; + printf("Unexpected failure of type inference.\n"); + } else if (!fillWitnessData(dag, type_dag, (size_t)len, witness)) { + failures++; + printf("Unexpected failure of fillWitnessData.\n"); + } else { + { + analyses analysis[len]; + computeAnnotatedMerkleRoot(analysis, dag, type_dag, (size_t)len); + if (expectedAMR) { + if (0 == memcmp(expectedAMR, analysis[len-1].annotatedMerkleRoot.s, sizeof(uint32_t[8]))) { + successes++; + } else { + failures++; + printf("Unexpected AMR.\n"); + } + } + } + { + sha256_midstate imr[len]; + bool noDups; + if (verifyNoDuplicateIdentityRoots(&noDups, imr, dag, type_dag, (size_t)len) && noDups + && 0 == memcmp(expectedIMR, imr[len-1].s, sizeof(uint32_t[8]))) { + successes++; + } else { + failures++; + printf("Unexpected IMR.\n"); + } + } + bool evalSuccess; + if (evalTCOProgram(&evalSuccess, dag, type_dag, (size_t)len, NULL) && expectedResult == evalSuccess) { + successes++; + } else { + failures++; + printf(expectedResult ? "Unexpected failure of evaluation.\n" : "Unexpected success of evaluation.\n"); + } + } + free(type_dag); + } + free(dag); +} + +static void test_occursCheck(void) { + printf("Test occursCheck\n"); + /* The untyped Simplicity term (case (drop iden) iden) ought to cause an occurs check failure. */ + const unsigned char buf[] = { 0xc1, 0x07, 0x20, 0x30 }; + dag_node* dag; + combinator_counters census; + int32_t len; + { + bitstream stream = initializeBitstream(buf, sizeof(buf)); + len = decodeMallocDag(&dag, &census, &stream); + } + if (!dag) { + printf("Error parsing dag: %d\n", len); + } else { + type* type_dag; + if (mallocTypeInference(&type_dag, dag, (size_t)len, &census) && !type_dag) { + successes++; + } else { + printf("Unexpected occurs check success\n"); + failures++; + } + free(type_dag); + } + free(dag); +} + +static void test_elements(void) { + unsigned char cmr[32], amr[32]; + sha256_fromMidstate(cmr, elementsCheckSigHashAllTx1_cmr); + sha256_fromMidstate(amr, elementsCheckSigHashAllTx1_amr); + + unsigned char genesisHash[32] = "\x0f\x91\x88\xf1\x3c\xb7\xb2\xc7\x1f\x2a\x33\x5e\x3a\x4f\xc3\x28\xbf\x5b\xeb\x43\x60\x12\xaf\xca\x59\x0b\x1a\x11\x46\x6e\x22\x06"; + rawTapEnv rawTaproot = (rawTapEnv) + { .controlBlock = (unsigned char [33]){"\xbe\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x3b\x78\xce\x56\x3f\x89\xa0\xed\x94\x14\xf5\xaa\x28\xad\x0d\x96\xd6\x79\x5f\x9c\x63"} + , .branchLen = 0 + , .scriptCMR = cmr + }; + tapEnv* taproot = elements_simplicity_mallocTapEnv(&rawTaproot); + + printf("Test elements\n"); + { + rawTransaction testTx1 = (rawTransaction) + { .input = (rawInput[]) + { { .annex = NULL + , .prevTxid = (unsigned char[32]){"\xeb\x04\xb6\x8e\x9a\x26\xd1\x16\x04\x6c\x76\xe8\xff\x47\x33\x2f\xb7\x1d\xda\x90\xff\x4b\xef\x53\x70\xf2\x52\x26\xd3\xbc\x09\xfc"} + , .prevIx = 0 + , .sequence = 0xfffffffe + , .issuance = {0} + , .scriptSig = {0} + , .txo = { .asset = (unsigned char[33]){"\x01\x23\x0f\x4f\x5d\x4b\x7c\x6f\xa8\x45\x80\x6e\xe4\xf6\x77\x13\x45\x9e\x1b\x69\xe8\xe6\x0f\xce\xe2\xe4\x94\x0c\x7a\x0d\x5d\xe1\xb2"} + , .value = (unsigned char[9]){"\x01\x00\x00\x00\x02\x54\x0b\xe4\x00"} + , .scriptPubKey = {0} + } } } + , .output = (rawOutput[]) + { { .asset = (unsigned char[33]){"\x01\x23\x0f\x4f\x5d\x4b\x7c\x6f\xa8\x45\x80\x6e\xe4\xf6\x77\x13\x45\x9e\x1b\x69\xe8\xe6\x0f\xce\xe2\xe4\x94\x0c\x7a\x0d\x5d\xe1\xb2"} + , .value = (unsigned char[9]){"\x01\x00\x00\x00\x02\x54\x0b\xd7\x1c"} + , .nonce = NULL + , .scriptPubKey = { .buf = (unsigned char [26]){"\x19\x76\xa9\x14\x48\x63\x3e\x2c\x0e\xe9\x49\x5d\xd3\xf9\xc4\x37\x32\xc4\x7f\x47\x02\xa3\x62\xc8\x88\xac"} + , .len = 26 + } + } + , { .asset = (unsigned char[33]){"\x01\x23\x0f\x4f\x5d\x4b\x7c\x6f\xa8\x45\x80\x6e\xe4\xf6\x77\x13\x45\x9e\x1b\x69\xe8\xe6\x0f\xce\xe2\xe4\x94\x0c\x7a\x0d\x5d\xe1\xb2"} + , .value = (unsigned char[9]){"\x01\x00\x00\x00\x00\x00\x00\x0c\xe4"} + , .nonce = NULL + , .scriptPubKey = {0} + } } + , .numInputs = 1 + , .numOutputs = 2 + , .version = 0x00000002 + , .lockTime = 0x00000000 + }; + transaction* tx1 = elements_simplicity_mallocTransaction(&testTx1); + if (tx1) { + successes++; + bool execResult; + { + unsigned char imrResult[32]; + if (elements_simplicity_execSimplicity(&execResult, imrResult, tx1, 0, taproot, genesisHash, amr, elementsCheckSigHashAllTx1, sizeof_elementsCheckSigHashAllTx1) && execResult) { + sha256_midstate imr; + sha256_toMidstate(imr.s, imrResult); + if (0 == memcmp(imr.s, elementsCheckSigHashAllTx1_imr, sizeof(uint32_t[8]))) { + successes++; + } else { + failures++; + printf("Unexpected IMR of elementsCheckSigHashAllTx1\n"); + } + } else { + failures++; + printf("execSimplicity of elementsCheckSigHashAllTx1 on tx1 failed\n"); + } + } + { + /* test the same transaction with a erroneous signature. */ + unsigned char brokenSig[sizeof_elementsCheckSigHashAllTx1]; + memcpy(brokenSig, elementsCheckSigHashAllTx1, sizeof_elementsCheckSigHashAllTx1); + brokenSig[sizeof_elementsCheckSigHashAllTx1 - 1] ^= 0x80; + if (elements_simplicity_execSimplicity(&execResult, NULL, tx1, 0, taproot, genesisHash, NULL, brokenSig, sizeof_elementsCheckSigHashAllTx1) && !execResult) { + successes++; + } else { + failures++; + printf("execSimplicity of brokenSig on tx1 unexpectedly succeeded\n"); + } + } + } else { + printf("mallocTransaction(&rawTx1) failed\n"); + failures++; + } + free(tx1); + } + /* test a modified transaction with the same signature. */ + { + rawTransaction testTx2 = (rawTransaction) + { .input = (rawInput[]) + { { .prevTxid = (unsigned char[32]){"\xeb\x04\xb6\x8e\x9a\x26\xd1\x16\x04\x6c\x76\xe8\xff\x47\x33\x2f\xb7\x1d\xda\x90\xff\x4b\xef\x53\x70\xf2\x52\x26\xd3\xbc\x09\xfc"} + , .prevIx = 0 + , .sequence = 0xffffffff /* Here is the modification. */ + , .issuance = {0} + , .txo = { .asset = (unsigned char[33]){"\x01\x23\x0f\x4f\x5d\x4b\x7c\x6f\xa8\x45\x80\x6e\xe4\xf6\x77\x13\x45\x9e\x1b\x69\xe8\xe6\x0f\xce\xe2\xe4\x94\x0c\x7a\x0d\x5d\xe1\xb2"} + , .value = (unsigned char[9]){"\x01\x00\x00\x00\x02\x54\x0b\xe4\x00"} + , .scriptPubKey = {0} + } } } + , .output = (rawOutput[]) + { { .asset = (unsigned char[33]){"\x01\x23\x0f\x4f\x5d\x4b\x7c\x6f\xa8\x45\x80\x6e\xe4\xf6\x77\x13\x45\x9e\x1b\x69\xe8\xe6\x0f\xce\xe2\xe4\x94\x0c\x7a\x0d\x5d\xe1\xb2"} + , .value = (unsigned char[9]){"\x01\x00\x00\x00\x02\x54\x0b\xd7\x1c"} + , .nonce = NULL + , .scriptPubKey = { .buf = (unsigned char [26]){"\x19\x76\xa9\x14\x48\x63\x3e\x2c\x0e\xe9\x49\x5d\xd3\xf9\xc4\x37\x32\xc4\x7f\x47\x02\xa3\x62\xc8\x88\xac"} + , .len = 26 + } + } + , { .asset = (unsigned char[33]){"\x01\x23\x0f\x4f\x5d\x4b\x7c\x6f\xa8\x45\x80\x6e\xe4\xf6\x77\x13\x45\x9e\x1b\x69\xe8\xe6\x0f\xce\xe2\xe4\x94\x0c\x7a\x0d\x5d\xe1\xb2"} + , .value = (unsigned char[9]){"\x01\x00\x00\x00\x00\x00\x00\x0c\xe4"} + , .nonce = NULL + , .scriptPubKey = {0} + } } + , .numInputs = 1 + , .numOutputs = 2 + , .version = 0x00000002 + , .lockTime = 0x00000000 + }; + transaction* tx2 = elements_simplicity_mallocTransaction(&testTx2); + if (tx2) { + successes++; + bool execResult; + { + if (elements_simplicity_execSimplicity(&execResult, NULL, tx2, 0, taproot, genesisHash, NULL, elementsCheckSigHashAllTx1, sizeof_elementsCheckSigHashAllTx1) && !execResult) { + successes++; + } else { + failures++; + printf("execSimplicity of elementsCheckSigHashAllTx1 on tx2 unexpectedly succeeded\n"); + } + } + } else { + printf("mallocTransaction(&testTx2) failed\n"); + failures++; + } + free(tx2); + } + free(taproot); +} + +static sha256_midstate hashint(uint_fast32_t n) { + sha256_midstate result; + sha256_context ctx = sha256_init(result.s); + sha256_u32le(&ctx, n); + sha256_finalize(&ctx); + + return result; +} + +static uint_fast32_t rsort_no_duplicates(size_t i) { + return i; +} + +static uint_fast32_t rsort_all_duplicates(size_t i) { + (void)i; + return 0; +} + +static uint_fast32_t rsort_one_duplicate(size_t i) { + return i ? i : 1; +} + +static void test_hasDuplicates(const char* name, bool expected, uint_fast32_t (*f)(size_t), size_t n) { + sha256_midstate hashes[n]; + + printf("Test %s\n", name); + for(size_t i = 0; i < n; ++i) { + hashes[i] = hashint(f(i)); + } + + bool duplicates; + if (!hasDuplicates(&duplicates, hashes, n)) { + failures++; + printf("Unexpected failure of hasDuplicates\n"); + } else if (expected == duplicates) { + successes++; + } else if (expected) { + failures++; + printf("Expected duplicates but found none.\n"); + } else { + failures++; + printf("Expected no duplicate but found some.\n"); + } +} + +int main(void) { + test_decodeUptoMaxInt(); + test_hashBlock(); + test_occursCheck(); + + test_hasDuplicates("hasDuplicates no duplicates testcase", false, rsort_no_duplicates, 10000); + test_hasDuplicates("hasDuplicates all duplicates testcase", true, rsort_all_duplicates, 10000); + test_hasDuplicates("hasDuplicates one duplicate testcase", true, rsort_one_duplicate, 10000); + + test_program("schnorr0", schnorr0, sizeof_schnorr0, true, schnorr0_cmr, schnorr0_imr, schnorr0_amr); + test_program("schnorr6", schnorr6, sizeof_schnorr6, false, schnorr6_cmr, schnorr6_imr, schnorr6_amr); + test_elements(); + + printf("Successes: %d\n", successes); + printf("Failures: %d\n", failures); + return (0 == failures) ? EXIT_SUCCESS : EXIT_FAILURE; +} diff --git a/type.c b/type.c new file mode 100644 index 00000000000..b422525edbe --- /dev/null +++ b/type.c @@ -0,0 +1,90 @@ +#include "type.h" + +#include +#include + +#include "bounded.h" +#include "callonce.h" +#include "prefix.h" +#include "tag.h" +#include "unreachable.h" + +/* Prepends the Simplicity TMR tag prefix to a string literal 's'. */ +#define TYPE_TAG(s) SIMPLICITY_PREFIX "\x1F" "Type\x1F" s + +/* Cached initial values for all the 'typeName's. + * Only to be accessed through 'tmrIV'. + */ +static once_flag static_initialized = ONCE_FLAG_INIT; +static sha256_midstate unitIV, + sumIV, + prodIV; +static void static_initialize(void) { + MK_TAG(unitIV.s, TYPE_TAG("unit")); + MK_TAG(sumIV.s, TYPE_TAG("sum")); + MK_TAG(prodIV.s, TYPE_TAG("prod")); +} + +/* Given a the 'kind' of a Simplicity type, return the SHA-256 hash of its associated TMR tag. + * This is the "initial value" for computing the type Merkle root for that type. + */ +static sha256_midstate tmrIV(typeName kind) { + call_once(&static_initialized, &static_initialize); + + switch (kind) { + case ONE: return unitIV; + case SUM: return sumIV; + case PRODUCT: return prodIV; + } + /* Impossible to reach here (unless you call with uninitialized values). */ + assert(false); + UNREACHABLE; +} + +/* Given a well-formed 'type_dag', compute the bitSizes, skips, and type Merkle roots of all subexpressions. + * For all 'i', 0 <= 'i' < 'len', + * 'type_dag[i].typeMerkleRoot' will be the TMR + * and 'type_dag[i].bitSize' will be the bitSize of the subexpression denoted by the slice + * + * (type_dag[i + 1])type_dag. + * + * and when 'type_dag[i]' represents a non-trivial 'PRODUCT' type, where one of the two type arguments a trivial type. + * then 'type_dag[i].skip' is the index of the largest subexpression of 'type_dag[i]' such that + * either 'type_dag[type_dag[i].skip]' is a 'SUM' type + * or 'type_dag[type_dag[i].skip]' is a 'PRODUCT' type of two non-trivial types. + * + * Precondition: type type_dag[len] and 'type_dag' is well-formed. + */ +void computeTypeAnalyses(type* type_dag, const size_t len) { + for (size_t i = 0; i < len; ++i) { + type_dag[i].skip = i; + switch (type_dag[i].kind) { + case ONE: + type_dag[i].bitSize = 0; + break; + case SUM: + type_dag[i].bitSize = max(type_dag[type_dag[i].typeArg[0]].bitSize, type_dag[type_dag[i].typeArg[1]].bitSize); + bounded_inc(&type_dag[i].bitSize); + break; + case PRODUCT: + type_dag[i].bitSize = bounded_add(type_dag[type_dag[i].typeArg[0]].bitSize, type_dag[type_dag[i].typeArg[1]].bitSize); + if (0 == type_dag[type_dag[i].typeArg[0]].bitSize) { + type_dag[i].skip = type_dag[type_dag[i].typeArg[1]].skip; + } else if (0 == type_dag[type_dag[i].typeArg[1]].bitSize) { + type_dag[i].skip = type_dag[type_dag[i].typeArg[0]].skip; + } + } + + type_dag[i].typeMerkleRoot = tmrIV(type_dag[i].kind); + + uint32_t block[16]; + switch (type_dag[i].kind) { + case ONE: break; + case SUM: + case PRODUCT: + memcpy(block, type_dag[type_dag[i].typeArg[0]].typeMerkleRoot.s, sizeof(uint32_t[8])); + memcpy(block + 8, type_dag[type_dag[i].typeArg[1]].typeMerkleRoot.s, sizeof(uint32_t[8])); + sha256_compression(type_dag[i].typeMerkleRoot.s, block); + } + } +} diff --git a/type.h b/type.h new file mode 100644 index 00000000000..a78c27c4a2f --- /dev/null +++ b/type.h @@ -0,0 +1,85 @@ +/* This module defines the structure for Simplicity type DAGs and computes type Merkle roots. */ +#ifndef SIMPLICITY_TYPE_H +#define SIMPLICITY_TYPE_H + +#include +#include "sha256.h" + +typedef enum typeName + { ONE, SUM, PRODUCT } +typeName; + +/* A structure for Simplicity type DAGs. */ +/* :TODO: when 'back' is used as "mutable" scratch space, concurrent evaluation of Simplicity expressions that share + * subexpressions and typing information is not possible. + * Consider instead implementing static analysis to determine a maximum stack size needed for traversing types in an expression + * in order to remove uses of 'back'. + */ +typedef struct type { + size_t typeArg[2]; + size_t bitSize; + union { + size_t skip; /* Used by 'typeSkip'. */ + size_t back; /* Sometimes used as scratch space when traversing types. */ + }; + sha256_midstate typeMerkleRoot; + typeName kind; +} type; + +/* We say a Simplicity type is trivial if it is the 'ONE' type, or the 'PRODUCT' of two trivial types. + * A Simplicity type is a trivial type if and only if its bitSize is 0. + */ + +/* A well-formed type DAG is an array of 'type's, + * + * type type_dag[n], + * + * such that + * + * 0 < n + * + * and + * + * type_dag[0].kind == ONE. + * + * and for all 'i', 1 <= 'i' < 'n' and for all 'j', 0 <= 'j' < 2. + * + * type_dag[i].kind \in { SUM, PRODUCT } and type_dag[i].typeArg[j] < i. + */ + +/* Given a well-formed 'type_dag', compute the bitSizes, skips, and type Merkle roots of all subexpressions. + * For all 'i', 0 <= 'i' < 'len', + * 'type_dag[i].typeMerkleRoot' will be the TMR + * and 'type_dag[i].bitSize' will be the bitSize of the subexpression denoted by the slice + * + * (type_dag[i + 1])type_dag. + * + * and when 'type_dag[i]' represents a non-trivial 'PRODUCT' type, where one of the two type arguments a trivial type. + * then 'type_dag[i].skip' is the index of the largest subexpression of 'type_dag[i]' such that + * either 'type_dag[type_dag[i].skip]' is a 'SUM' type + * or 'type_dag[type_dag[i].skip]' is a 'PRODUCT' type of two non-trivial types. + * + * Precondition: type type_dag[len] and 'type_dag' is well-formed. + */ +void computeTypeAnalyses(type* type_dag, size_t len); + +/* Return the index of the largest subexpression of 'type_dag[i]' (possibly 'i' itself) that is either + * (1) a 'SUM' type; + * (2) a 'PRODUCT' type of two non-trivial type arguments. + * + * If there is no such subexpression at all, i.e. when 'type_dag[i]' is a trivial type, return 0 + * (which is the index of the 'ONE' type). + * + * This functions is used for fast traversals of type expressions, skipping over trivial subexpressions, + * as this function runs in in constant time. + */ +static inline size_t typeSkip(size_t i, const type* type_dag) { + if (0 == type_dag[i].bitSize) return 0; + if (PRODUCT == type_dag[i].kind && + (0 == type_dag[type_dag[i].typeArg[0]].bitSize || 0 == type_dag[type_dag[i].typeArg[1]].bitSize)) { + return type_dag[i].skip; + } + return i; +} + +#endif diff --git a/typeInference.c b/typeInference.c new file mode 100644 index 00000000000..32a901dbd2c --- /dev/null +++ b/typeInference.c @@ -0,0 +1,572 @@ +#include "typeInference.h" + +#include +#include +#include +#include "bounded.h" +#include "primitive.h" + +/* Every subexpression in a Simplicity expression has a unification variable for its inferred source and target type. */ +typedef struct unification_arrow { + unification_var source, target; +} unification_arrow; + +/* Returns the representative of this variable's equivalence class. + * Note: the 'parent' pointers of some variables within this equivalence class may be adjusted (to point more directly to the + * representative). + * + * Precondition: NULL != alpha + * + * Postcondition: NULL == result_value->parent + */ +static unification_var* findRoot(unification_var* alpha) { + /* During unification, when '.rank' fields are active, the value of 'alpha->rank' strictly increases during this loop. + * If 'alpha->rank' = 'i', then there must be at least 2^'i' unification variables referencing (indirectly) 'alpha'. + * Therefore, this loop terminates in at most log_2('n')/2 steps where 'n' is the number of unification variables in 'alpha's + * equivalence class. + * This bound holds even during freezing when 'alpha->rank' may not be activated. + * + * Note: the total number of unification variables created for type inference is linearly bounded by the number of nodes + * in the Simplicity expression being inferred's DAG. + * + * According to ``Worst-Case Analysis of Set Union Algorithms'' by Robert E. Tarjan and Jan van Leeuwen (1984) + * the "path halving" method used in this implementation is adequate to ensure that the amortized time complexity is + * O(InvAck('n')) and ``for all practical purposes InvAck('n') a constant no larger than four''. + */ + while (alpha->parent != NULL) { + if (alpha->parent->parent != NULL) alpha->parent = alpha->parent->parent; + alpha = alpha->parent; + } + return alpha; +} + +/* Begin attempt to add a new binding, 'bound', to a unification variable 'alpha' representing its equivalence class. + * If 'alpha' is a free variable, it becomes a bound to a copy of 'bound' and 'true' is returned. + * If 'alpha' is already bound to the same kind of type, new unification constraints may be added by overwriting '**cont' + * and putting more elements into the '*cont' stack and 'true' is returned. + * Hence, '*cont' must be a non-empty stack whose top element is scratch space available to be overwritten. + * If 'alpha' is already bound to the same kind of non-trivial binding then '*bindings_used' is decremented + * and 'bound->cont' may become active. + * + * In cases where no new unification constraints are need, the top element of '*cont' is popped off the stack, + * removing the scratch item. + * + * If 'alpha' is already bound to a different kind of type, then 'false' is returned. + * + * If 'false' is returned, then '*alpha', '*bound', '*cont', '*bindings_used', + * and values referenced by these structures may be modified. + * + * Preconditon: NULL != alpha and NULL == alpha->parent; + * NULL != bound; + * NULL != cont and '*cont' is a non-empty stack; + * NULL != bindings_used + */ +static bool applyBinding_cont(unification_var* alpha, binding* bound, unification_cont** cont, size_t* bindings_used) { + if (!alpha->isBound) { + /* alpha is currently a free variable. Copy the provided binding. */ + alpha->isBound = true; + alpha->bound = *bound; + *cont = (*cont)->next; + return true; + } + + if (alpha->bound.kind != bound->kind) return false; /* Unification failure */ + /* Otherwise 'bound' is bound to the same kind of type as 'alpha's. */ + + if (ONE == bound->kind) { + /* 'bound' is a trivial binding. */ + *cont = (*cont)->next; + return true; + } else { + /* 'bound' is a non-trivial binding. + * Push two new pairs of the 'alpha->bound' and 'bound' type's unification variables to the stack of variables to be unified + * by overwriting the top of the stack and slipping a new stack item underneath it. + */ + + (*cont)->alpha = alpha->bound.arg[0]; + (*cont)->beta = bound->arg[0]; + /* 'bound' will not be used further, so it is safe to activate 'bound->cont'. */ + bound->cont = (unification_cont){ .alpha = alpha->bound.arg[1] + , .beta = bound->arg[1] + , .next = (*cont)->next + }; + (*cont)->next = &(bound->cont); + assert(0 < *bindings_used); + (*bindings_used)--; + } + return true; +} + +/* Unify a stack of pairs of unification variables. + * If any unification fails, then NULL is returned. + * If all unifications are successful, the representative of the equivalence class of the top pair of unified variables + * from the stack is returned. + * '*bindings_used' is decremented by the number of pairs of (non-trivial) bindings that are successfully unified. + * + * If 'NULL' is returned, then '*cont', '*bindings_used', and values referenced by these structures may be modified. + * + * Precondition: 'cont' is a non-empty stack; + * All of the 'unification_var's accessible through 'cont' have their '.rank' fields active; + * NULL != bindings_used + */ +static unification_var* unify_cont(unification_cont* cont, size_t* bindings_used) { + unification_var* result = NULL; + + /* Each time we go through this loop, the stack size of 'cont' either increases by 1 or decreases by 1. + * Whenever the stack size increases by 1, at the same time '*bindings_used' decreases by 1. + * + * For the above reason, the total number of times this loop iterates summed over all calls to 'unify_cont' cannot exceed + * + * (2 * the total number of bindings created + the number of times 'unify_cont' is called). + * + * The total number of bindings created is bounded linearly in the number of nodes in the Simplicity expression's DAG. + * The total number of calls to 'unify_cont' (via 'unify' and 'applyBinding') is bounded + * linearly in the number of nodes in the Simplicity expression's DAG. + * Therefore the total number of times this loop iterates summed over all calls to 'unify_cont' is bounded + * linearly in the number of nodes in the Simplicity DAG. + */ + while (cont) { + unification_var* alpha = findRoot(cont->alpha); + unification_var* beta = findRoot(cont->beta); + + if (alpha == beta) { + /* 'cont->alpha' and 'cont->beta' are already equivalent. */ + cont = cont->next; + } else { + /* We will be making 'alpha' a parent of 'beta', so swap the variables to ensure that 'alpha's rank + * is at least as large as 'beta'. + */ + if (alpha->rank < beta->rank) { + unification_var* tmp = beta; beta = alpha; alpha = tmp; + } + + /* Make 'beta' equivalent to 'alpha'. */ + beta->parent = alpha; + + if (beta->isBound) { + /* Copy/unify 'beta's binding to/with 'alpha'. */ + if (!applyBinding_cont(alpha, &beta->bound, &cont, bindings_used)) return NULL; /* Unification failure */ + } else { + /* 'beta' used to be a free variable. */ + cont = cont->next; + } + + /* Ensure 'alpha's rank exceeds 'beta's rank. + * Note that if 'alpha->rank' == 'beta->rank' then the two variables equivalence classes each had at least + * 2^'alpha->rank' variables in each of them. + * Therefore the unified equivalence classes will now have at least 2^'alpha->rank + 1' variables, + * which will be compatible with 'alpha's increased rank. + */ + if (alpha->rank == beta->rank) alpha->rank++; + } + + /* Return the representative of the unified variable of the two inputs that was on the top of the stack + * (as long as all other unifications are successful). + */ + if (!result) result = alpha; + } + + return result; +} + +/* Add a new binding, 'bound', to a unification variable 'alpha'. + * If 'alpha' is already bound to a type that doesn't unify with 'bound', then 'false' is returned. + * Otherwise variables of 'bound's bindings and 'alpha's bindings (if any) are recursively unified and 'true' is returned. + * '*bindings_used' is decremented by the number of pairs of (non-trivial) bindings that are successfully unified. + * + * If 'false' is returned, then '*alpha', '*bound', '*bindings_used', and values referenced by these structures may be modified. + * + * Precondition: NULL != alpha; + * NULL != bound; + * All of the 'unification_var's accessible through 'alpha' and 'bound' (including 'alpha' itself) + * have their '.rank' fields active; + * NULL != bindings_used + */ +static bool applyBinding(unification_var* alpha, binding* bound, size_t* bindings_used) { + unification_cont scratch = {0}; + unification_cont* cont = &scratch; + if (!applyBinding_cont(findRoot(alpha), bound, &cont, bindings_used)) return false; + return NULL == cont || unify_cont(cont, bindings_used); +} + +/* Unify a pair of unification variables. + * If unification fails, then NULL is returned. + * If unification is successful, the representative of the equivalence class of unified pair of variables is returned. + * If alpha or beta is NULL, then NULL is returned. This allows you to chain calls to 'unify'. + * + * '*bindings_used' is decremented by the number of pairs of (non-trivial) bindings that are successfully unified. + * + * If unification fails, then '*alpha', '*beta', '*bindings_used', and values referenced by these structures may be modified. + * + * Precondition: NULL != bindings_used; + * All of the 'unification_var's accessible through 'alpha' and 'beta' (including themselves if they are not NULL) + * have their '.rank' fields active. + */ +static unification_var* unify(unification_var* alpha, unification_var* beta, size_t* bindings_used) { + return alpha && beta ? unify_cont(&(unification_cont){ .alpha = alpha, .beta = beta }, bindings_used) : NULL; +} + +/* Given a census containing a tally of the different tags that occurs in some Simplicity DAG, + * return an upper bound on number of extra unification variables, 'extra_var', + * that the 'typeInference' function will end up needing for that DAG. + * + * Precondition: NULL != census + */ +static size_t max_extra_vars(const combinator_counters* census) { + return 4*(census->case_cnt) + + (census->disconnect_cnt) + + (census->injl_cnt) + + (census->injr_cnt) + + (census->take_cnt) + + (census->drop_cnt); +} + +/* Solve the constraints of source and target types of each subexpression in a Simplicity DAG. + * + * If the Simplicity DAG, 'dag', has a principal type (including constraints due to sharing of subexprssions), + * then 'arrow[i]'s and 'source' and 'target' fields are set to unification variables + * that are bound to the principal source and target types of subexpression denoted by the slice '(dag_nodes[i + 1])dag'. + * If the 'dag' does not have a principal type then either 'false' is returned + * or there will be a cycle in the graph of the bindings of the unification variables accessible from the resulting 'arrows' array. + * + * If 'false' is returned, then '*arrow', '*extra_var', '*word256Type', '*bindings_used', and values referenced by these structures + * may be modified. + * + * Precondition: unification_arrow arrow[len]; + * dag_node dag[len] is well-formed; + * unification_var extra_var[max_extra_vars(&census)] + * where 'census' contains a tally of the different tags that occur in 'dag'; + * unification_var bound_var[N]; + * forall '0 <= i < len', if 'dag[i].tag == JET' + * then 'dag[i].sourceIx < N' and 'dag[i].targetIx < N' + * word256_ix < N and 'bound_var[word256_ix]' is bound to the type 'TWO^256'; + * '*bindings_used' is at least the number of unification variables that have + * non-trivial bindings that are accessible from the 'bound_var' array. + * + * Postcondition: if 'true' is returned + * then '*bindings_used' is at least the number of unification variables that have non-trivial bindings + * that are accessible from the 'arrow' array and 'bound_var' array. + * and 'arrow' is a graph of bindings that satisfies the typing constraints of imposed by 'dag'. + */ +static bool typeInference(unification_arrow* arrow, const dag_node* dag, const size_t len, + unification_var* extra_var, unification_var* bound_var, size_t word256_ix, size_t* bindings_used) { + for (size_t i = 0; i < len; ++i) { + switch (dag[i].tag) { + #define UNIFY(a, b) { if (!unify((a), (b), bindings_used)) return false; } + #define APPLY_BINDING(a, b) { if (!applyBinding((a), (b), bindings_used)) return false; } + case COMP: + arrow[i] = (unification_arrow){0}; + UNIFY(&(arrow[dag[i].child[0]].source), &(arrow[i].source)); + UNIFY(&(arrow[dag[i].child[1]].target), &(arrow[i].target)); + UNIFY(&(arrow[dag[i].child[0]].target), &(arrow[dag[i].child[1]].source)); + break; + case ASSERTL: + case ASSERTR: + case CASE: + *bindings_used += 2; + extra_var[0] = extra_var[1] = extra_var[2] = (unification_var){0}; + extra_var[3] = (unification_var) + { .isBound = true + , .bound = { .kind = SUM + , .arg = { &extra_var[0], &extra_var[1] } + } }; + arrow[i] = (unification_arrow){ .source = + { .isBound = true + , .bound = { .kind = PRODUCT + , .arg = { &extra_var[3], &extra_var[2] } + } } }; + if (ASSERTR != dag[i].tag) { + *bindings_used += 1; + APPLY_BINDING(&(arrow[dag[i].child[0]].source), &((binding) + { .kind = PRODUCT + , .arg = { &extra_var[0], &extra_var[2] } + })); + UNIFY(&(arrow[dag[i].child[0]].target), &(arrow[i].target)); + } + if (ASSERTL != dag[i].tag) { + *bindings_used += 1; + APPLY_BINDING(&(arrow[dag[i].child[1]].source), &((binding) + { .kind = PRODUCT + , .arg = { &extra_var[1], &extra_var[2] } + })); + UNIFY(&(arrow[dag[i].child[1]].target), &(arrow[i].target)); + } + extra_var += 4; + break; + case PAIR: + *bindings_used += 1; + arrow[i] = (unification_arrow){ .target = + { .isBound = true + , .bound = { .kind = PRODUCT + , .arg = { &(arrow[dag[i].child[0]].target), &(arrow[dag[i].child[1]].target) } + } } }; + UNIFY(unify(&(arrow[dag[i].child[0]].source), &(arrow[dag[i].child[1]].source), bindings_used), &(arrow[i].source)); + break; + case DISCONNECT: + *bindings_used += 3; + *extra_var = (unification_var){0}; + arrow[i] = (unification_arrow){ .target = + { .isBound = true + , .bound = { .kind = PRODUCT + , .arg = { extra_var, &(arrow[dag[i].child[1]].target) } + } } }; + APPLY_BINDING(&(arrow[dag[i].child[0]].source), &((binding) + { .kind = PRODUCT + , .arg = { &(bound_var[word256_ix]), &(arrow[i].source) } + })); + APPLY_BINDING(&(arrow[dag[i].child[0]].target), &((binding) + { .kind = PRODUCT + , .arg = { extra_var, &(arrow[dag[i].child[1]].source) } + })); + extra_var++; + break; + case INJL: + case INJR: + *bindings_used += 1; + *extra_var = (unification_var){0}; + arrow[i] = (unification_arrow){ .target = + { .isBound = true + , .bound = { .kind = SUM + , .arg = { INJL == dag[i].tag ? &(arrow[dag[i].child[0]].target) : extra_var + , INJL == dag[i].tag ? extra_var : &(arrow[dag[i].child[0]].target) + } } } }; + UNIFY(&(arrow[dag[i].child[0]].source), &(arrow[i].source)); + extra_var++; + break; + case TAKE: + case DROP: + *bindings_used += 1; + *extra_var = (unification_var){0}; + arrow[i] = (unification_arrow){ .source = + { .isBound = true + , .bound = { .kind = PRODUCT + , .arg = { TAKE == dag[i].tag ? &(arrow[dag[i].child[0]].source) : extra_var + , TAKE == dag[i].tag ? extra_var : &(arrow[dag[i].child[0]].source) + } } } }; + UNIFY(&(arrow[dag[i].child[0]].target), &(arrow[i].target)); + extra_var++; + break; + case IDEN: + arrow[i] = (unification_arrow){0}; + UNIFY(&(arrow[i].source), &(arrow[i].target)); + break; + case UNIT: + /* UNIT only imposes trivial bindings, so we do not increment 'bindings_used'. */ + arrow[i] = (unification_arrow){ .target = { .isBound = true, .bound = { .kind = ONE } } }; + break; + case HIDDEN: + case WITNESS: + arrow[i] = (unification_arrow){0}; + break; + case JET: + arrow[i] = (unification_arrow){0}; + UNIFY(&(bound_var[dag[i].sourceIx]),&arrow[i].source); + UNIFY(&(bound_var[dag[i].targetIx]),&arrow[i].target); + break; + case WORD: + /* WORD only imposes trivial bindings, so we do not increment 'bindings_used'. */ + arrow[i] = (unification_arrow){ .source = { .isBound = true, .bound = { .kind = ONE } } }; + UNIFY(&(bound_var[dag[i].targetIx]),&arrow[i].target); + #undef APPLY_BINDING + #undef UNIFY + } + } + + return true; +} + +/* Determine if the representative of an equivalence class of unification variables already has a reference + * to a frozen version of its bound type. + * + * Note that free variables and variables bound to the 'ONE' type are automatically always frozen. + * + * Precondition: NULL == var->parent + */ +static bool isFrozen(unification_var* var) { + assert (!var->isBound || ONE != var->bound.kind || 0 == var->bound.frozen_ix); + return !var->isBound || ONE == var->bound.kind || var->bound.frozen_ix; +} + +/* Given the representative of an equivalence class of unification variables that already has a reference to a frozen version + * of its bound type, return that reference. + * + * Precondition: NULL == var->parent; + * isFrozen(var) + */ +static size_t getFrozenIx(unification_var* var) { + return var->isBound ? var->bound.frozen_ix : 0; +} + +/* Set '*result' to the index within 'type_dag' that contains an instance type bound by 'var' where free variables are instantiated + * at the ONE type, recursively adding new nodes to 'type_dag' as necessary. + * '*type_dag_used' will be incremented by the number of new 'type_dag' nodes created. + * + * If it is impossible to create a required instance (due to a cycle in the bindings reachable by 'var'), then 'false' is returned, + * otherwise 'true' is returned. + * + * If 'false' is returned, then '*result', '*type_dag', '*type_dag_used', and values referenced by these structures may be modified. + * + * Precondition: NULL != result; + * type type_dag[*type_dag_used + n] + * where 'n' is the number of unfrozen unification variables that have non-trivial bindings + * that are accessible from 'var' array; + * type type_dag[*type_dag_used] is well-formed; + * NULL != type_dag_used; + * NULL != var + * + * Postcondition: If 'true' is returned, then type type_dag[*type_dag_used] is well-formed + */ +static bool freeze(size_t* result, type* type_dag, size_t* type_dag_used, unification_var* var) { + var = findRoot(var); + + if (isFrozen(var)) { + *result = getFrozenIx(var); + return true; + } + + /* 'var' is not frozen, and therefore it must have a non-trivial binding. + * Create a one item stack of unification variables 'var' to be frozen. + */ + var->next = NULL; + assert(!var->bound.occursCheck); + var->bound.occursCheck = true; + + /* Attempt to freeze all variables on the stack, pushing new variables onto the stack to recursively freeze them if needed. + * + * All variables in the stack are representatives of their equivalence class and have just had their 'occursCheck' flag changed + * from 'false' to 'true'. + * Variables never change their 'occursCheck' flag back from 'true' to 'false'. + * Variables are only removed from the stack after being frozen. + * Each time we go through this loop, the stack size either increases by 1 or decreases by 1. + * Therefore the total number of times this loop iterates summed over all calls to 'freeze' is bounded by + * twice the number of unification variable (representatives) with non-trivial bindings. + * ("twice" because once to add the variable to the stack and once to remove the variable from the stack). + * + * Note that number of unification_variables is bound linearly in the number of nodes in the Simplicity DAG. + */ + while (var) { + unification_var* typeArg[2] = { findRoot(var->bound.arg[0]), findRoot(var->bound.arg[1]) }; + if (!isFrozen(typeArg[0])) { + /* The first type argument's representative isn't frozen. Add it to the stack and immediately attempt to freeze it. */ + if (typeArg[0]->bound.occursCheck) return false; /* Occurs check failure. */ + typeArg[0]->bound.occursCheck = true; + typeArg[0]->next = var; + var = typeArg[0]; + } else if (!isFrozen(typeArg[1])) { + /* The second type argument's representative isn't frozen. Add it to the stack and immediately attempt to freeze it. */ + if (typeArg[1]->bound.occursCheck) return false; /* Occurs check failure. */ + typeArg[1]->bound.occursCheck = true; + typeArg[1]->next = var; + var = typeArg[1]; + } else { + /* Both the type argument's representatives are frozen. + * Create a new entry in the 'type_dag' for 'var's binding and freeze 'var'. + */ + *result = var->bound.frozen_ix = (*type_dag_used)++; + type_dag[var->bound.frozen_ix] = (type) + { .kind = var->bound.kind + , .typeArg = { getFrozenIx(typeArg[0]), getFrozenIx(typeArg[1]) } + }; + var = var->next; + } + } + + return true; +} + +/* Create a type DAG that supports all the type annotations of the Simplicity expression, 'dag', + * and the input and output types of whole expression. + * + * If the Simplicity DAG, 'dag', has a principal type (including constraints due to sharing of subexpressions), + * and 'arrow[i]'s and 'source' and 'target' field's unification variables are bound to the principal source and target types + * of subexpression denoted by the slice '(dag_nodes[i + 1])dag', then we create a well-formed 'type_dag' (see 'type.h') + * that includes the input and output types for every subexpression in 'dag', with all free type variables instantiated to the type + * 'ONE' and add references to these type annotations to 'dag' + * and return 'true'. + * + * The type Merkle roots of the 'type_dag' are also filled in. + * + * We say 'dag' is "well-typed" if it is a well-formed 'dag' with source and target types on all subexpressions, + * referencing a well-formed 'type_dag', that satisfies all the typing constraints of Simplicity. + * Hidden nodes are not actually typed and are instead assigned references to the type 'ONE' for their input and output types. + * + * If the Simplicity DAG, 'dag' does not have a principal type, yet the precondition on 'arrow' below is still satisfied, + * then there must be a cycle in the graph of bindings accessible through the 'arrow' array, and in this case we return 'false'. + * + * In either case, '*arrow', and values referenced by these structures may be modified. + * + * If 'false' is returned, then the 'type_dag' array, and the '.sourceType', '.targetType' within the 'dag' array may be modified. + * + * Precondition: type type_dag[1 + n] + * where 'n' is the number of unification variables that have non-trivial bindings + * that are accessible from the 'arrow' array; + * dag_node dag[len] is well-formed; + * unification_arrow arrow[len] is a graph of bindings that satisfies the typing constraints of imposed by 'dag'. + */ +static bool freezeTypes(type* type_dag, dag_node* dag, unification_arrow* arrow, const size_t len) { + /* First entry of type_dag gets assigned to the ONE type. */ + type_dag[0] = (type){ .kind = ONE }; + size_t type_dag_used = 1; + + for (size_t i = 0; i < len; ++i) { + if (!(freeze(&(dag[i].sourceType), type_dag, &type_dag_used, &(arrow[i].source)) && + freeze(&(dag[i].targetType), type_dag, &type_dag_used, &(arrow[i].target)))) return false; + } + + computeTypeAnalyses(type_dag, type_dag_used); + + return true; +} + +/* If the Simplicity DAG, 'dag', has a principal type (including constraints due to sharing of subexpressions), + * then allocate a well-formed type DAG containing all the types needed for all the subexpressions of 'dag', + * with all free type variables instantiated at ONE, and set '*type_dag' to this allocation, + * and update the '.sourceType' and '.targetType' fields within each node of the 'dag' 'type_dag[dag[i].sourceType]' + * and 'type_dag[dag[i].targetType]' are the inferred types of the Simplicity subexpression at dag[i]. + * + * If malloc fails, return 'false', otherwise return 'true'. + * If the Simplicity DAG, 'dag', has no principal type (because it has a type error), then '*type_dag' is set to NULL. + * + * Precondition: NULL != type_dag; + * dag_node dag[len] is well-formed; + * '*census' contains a tally of the different tags that occur in 'dag'. + * + * Postcondition: if the return value is 'true' + * then either NULL == '*type_dag' + * or 'dag' is well-typed with '*type_dag' and without witness values + * if the return value is 'false' then 'NULL == *type_dag' + */ +bool mallocTypeInference(type** type_dag, dag_node* dag, const size_t len, const combinator_counters* census) { + *type_dag = NULL; + /* :TODO: static assert that MAX_DAG size is small enough that these sizes fit within SIZE_T. */ + /* These arrays could be allocated on the stack, but they are potentially large, so we allocate them on the heap instead. */ + unification_arrow* arrow = len <= SIZE_MAX / sizeof(unification_arrow) + ? malloc(len * sizeof(unification_arrow)) + : NULL; + unification_var* bound_var; + size_t word256_ix, extra_var_start; + size_t bindings_used = mallocBoundVars(&bound_var, &word256_ix, &extra_var_start, max_extra_vars(census)); + + bool result = arrow && bound_var; + if (result) { + if (typeInference(arrow, dag, len, bound_var + extra_var_start, bound_var, word256_ix, &bindings_used)) { + /* :TODO: constrain the root of the dag to be a Simplicity program: ONE |- ONE */ + + /* :TODO: static assert that MAX_DAG size is small enough that this size fits within SIZE_T. */ + *type_dag = bindings_used < SIZE_MAX / sizeof(type) + ? malloc((1 + bindings_used) * sizeof(type)) + : NULL; + result = *type_dag; + if (result) { + if (!freezeTypes(*type_dag, dag, arrow, len)) { + free(*type_dag); + *type_dag = NULL; + } + } + } + } + + free(arrow); + free(bound_var); + return result; +} diff --git a/typeInference.h b/typeInference.h new file mode 100644 index 00000000000..8b85a967c8e --- /dev/null +++ b/typeInference.h @@ -0,0 +1,94 @@ +/* This module provides function for running monomorphic type inference over Simplicity DAGs. */ +#ifndef SIMPLICITY_TYPEINFERENCE_H +#define SIMPLICITY_TYPEINFERENCE_H + +#include "dag.h" +#include "type.h" + +/* Forward declarations for recursive data structures. */ +typedef struct unification_cont unification_cont; +typedef struct unification_var unification_var; + +/* 'unification_cont' is a stack element holding a pair of variables to be unified. + * 'next' points to the rest of the stack or NULL if this is the bottom of the stack. + */ +struct unification_cont { + unification_var* alpha; + unification_var* beta; + unification_cont* next; +}; + +/* We say that a value 'cont' of type 'unification_cont*' is a stack when + * (a) 'NULL == cont', in which case we say 'cont' is an empty stack, + * or + * (b) 'NULL != cont', 'NULL != cont->alpha', 'NULL != cont->beta', and 'cont->next' is a stack, + * in which case we say 'cont' is a non-empty stack. + */ + +/* A binding for a bound unification variable. + * 'kind' is the kind of Simplicity type for this binding. + * When 'kind' is 'ONE' then this is a called "trivial" binding and 'arg' is not used. + * When 'kind' is in { 'SUM', 'PRODUCT' } then this is called a "non-trivial" binding + * and 'arg[0]' and 'arg[1]' are pointers to variables for the type's arguments. + * + * During freezing, the 'occursCheck' flag may be set to help detect occurs check failures (a.k.a cyclic types). + * After freezing, 'frozen_ix' refers to the index within some 'type' array that holds the frozen version of this binding. + * + * When a binding is unused (e.g. when a unification_var has a non-NULL 'parent'), unification may activate 'cont' as scratch space; + */ +typedef union binding { + struct { + unification_var* arg[2]; + size_t frozen_ix; + typeName kind; + bool occursCheck; + }; + unification_cont cont; /* unification uses this field as scratch space. */ +} binding; + +/* A unification variable. + * When 'NULL == parent' then this variable is the representative of its equivalence class. + * When 'NULL == parent' and '!isBound' this (and all equivalent variables) is a free unification variable. + * When 'NULL == parent' and 'isBound' this (and all equivalent variables) is a bound unification variable + * with 'bound' holding its binding (and bound.kind is active). + * When 'NULL != parent' then this variable is equivalent to '*parent' and 'isBound' and 'bound' are not used. + * + * During unification 'rank' is active and when 'NULL != parent' then 'rank < parent->rank'. + * Also when 'rank' is active, there are at least 2^'rank' unification variables in this unification variable's equivalence class. + * + * After unification is completed, the freeze function may activate 'next' as scratch space. + * + * This structure is designed so that initializing it with '{0}' / implicit static initialization + * produces a fresh free unification variable. + */ +struct unification_var { + unification_var* parent; + binding bound; + union { + int rank; + unification_var* next; /* freezing uses this field as scratch space. */ + }; + bool isBound; +}; + +/* If the Simplicity DAG, 'dag', has a principal type (including constraints due to sharing of subexpressions), + * then allocate a well-formed type DAG containing all the types needed for all the subexpressions of 'dag', + * with all free type variables instantiated at ONE, and set '*type_dag' to this allocation, + * and update the '.sourceType' and '.targetType' fields within each node of the 'dag' 'type_dag[dag[i].sourceType]' + * and 'type_dag[dag[i].targetType]' are the inferred types of the Simplicity subexpression at dag[i]. + * + * If malloc fails, return 'false', otherwise return 'true'. + * If the Simplicity DAG, 'dag', has no principal type (because it has a type error), then '*type_dag' is set to NULL. + * + * Precondition: NULL != type_dag; + * dag_node dag[len] is well-formed; + * '*census' contains a tally of the different tags that occur in 'dag'. + * + * Postcondition: if the return value is 'true' + * then either NULL == '*type_dag' + * or 'dag' is well-typed with '*type_dag' and without witness values + * if the return value is 'false' then 'NULL == *type_dag' + */ +bool mallocTypeInference(type** type_dag, dag_node* dag, const size_t len, const combinator_counters* census); + +#endif diff --git a/unreachable.h b/unreachable.h new file mode 100644 index 00000000000..6476b60ee39 --- /dev/null +++ b/unreachable.h @@ -0,0 +1,17 @@ +/* This module defines an UNREACHABLE macro that calls '__builtin_unreachable' if it exists. + * Placing UNREACHABLE after a branch can allow an optimizer to eliminate the branch. + */ +#ifndef UNREACHABLE + +#ifdef __has_builtin +#if __has_builtin(__builtin_unreachable) +#define UNREACHABLE __builtin_unreachable() +#endif +#endif + +#ifndef UNREACHABLE +#include +#define UNREACHABLE abort() +#endif + +#endif diff --git a/uword.h b/uword.h new file mode 100644 index 00000000000..89b3e63a54e --- /dev/null +++ b/uword.h @@ -0,0 +1,54 @@ +#ifndef SIMPLICITY_UWORD_H +#define SIMPLICITY_UWORD_H + +#include +#include +#include + +/* Number of bits for any value of the form 2^b - 1 where 0 <= b < 0x3fffffff * 30. + * From: https://stackoverflow.com/a/4589384/727983 + * + * A correctness proof can be found at + * + * https://wiki.sei.cmu.edu/confluence/display/c/INT35-C.+Use+correct+integer+precisions?focusedCommentId=88018664#comment-88018664 + */ +#define UMAX_BITS(m) ((m) / ((m) % 0x3fffffffu + 1) / 0x3fffffffu % 0x3fffffffu * 30 \ + + (m)%0x3fffffffu / ((m) % 31 + 1) / 31 % 31 * 5 \ + + 4 - 12 / ((m) % 31 + 3)) + +/* UWORD can be any unsigned integer type. + * The default ought to be 'unsigned int', but unfortunately that tends to be 32-bits on 64-bit platforms. + * Instead we select 'uint_fast16_t' as our default (with the disadvantage that it is again 32-bits for the x32 target). + */ +#ifndef UWORD +#define UWORD uint_fast16_t +#endif + +_Static_assert((UWORD)1 <= (UWORD)(-1), "UWORD must be an unsigned type"); +_Static_assert(sizeof(UWORD) < 0x3fffffffu * 30 / CHAR_BIT, "UWORD must have fewer than 32 billion bits for UMAX_BITS."); +#define UWORD_MAX ((UWORD)-1) +#define UWORD_BIT UMAX_BITS(UWORD_MAX) +_Static_assert(UWORD_BIT <= SIZE_MAX, "UWORD_BIT must fit into size_t."); + +/* For all 'x' and 'y', + * + * 'x <= UWORD_BIT * y' if and only if 'ROUND_UWORD(x) <= y' + * + * Precondition: 0 <= bitSize + */ +#define ROUND_UWORD(bitSize) ((bitSize) / UWORD_BIT + !!((bitSize) % UWORD_BIT)) + +/* Clear the 'n' least significant bits of a UWORD. + * Precondition: 0 < n <= UWORD_BIT + */ +static inline UWORD LSBclear(UWORD x, size_t n) { + return (UWORD)(x >> 1 >> (n - 1) << 1 << (n - 1)); +} + +/* Clear all but the 'n' least significant bits of a UWORD. + * Precondition: 0 < n <= UWORD_BIT + */ +static inline UWORD LSBkeep(UWORD x, size_t n) { + return (UWORD)(x & (UWORD_MAX >> (UWORD_BIT - n))); +} +#endif