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asm_avr.inc
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/* Copyright 2015, Kenneth MacKay. Licensed under the BSD 2-clause license. */
#ifndef _UECC_ASM_AVR_H_
#define _UECC_ASM_AVR_H_
#if (uECC_SUPPORTS_secp256r1 || uECC_SUPPORTS_secp256k1)
#define uECC_MIN_WORDS 32
#endif
#if uECC_SUPPORTS_secp224r1
#undef uECC_MIN_WORDS
#define uECC_MIN_WORDS 28
#endif
#if uECC_SUPPORTS_secp192r1
#undef uECC_MIN_WORDS
#define uECC_MIN_WORDS 24
#endif
#if uECC_SUPPORTS_secp160r1
#undef uECC_MIN_WORDS
#define uECC_MIN_WORDS 20
#endif
#if __AVR_HAVE_EIJMP_EICALL__
#define IJMP "eijmp \n\t"
#else
#define IJMP "ijmp \n\t"
#endif
#if (uECC_OPTIMIZATION_LEVEL >= 2)
uECC_VLI_API void uECC_vli_clear(uECC_word_t *vli, wordcount_t num_words) {
volatile uECC_word_t *v = vli;
__asm__ volatile (
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
"ldi r30, pm_lo8(1f) \n\t"
"ldi r31, pm_hi8(1f) \n\t"
"sub r30, %[num] \n\t"
"sbc r31, __zero_reg__ \n\t"
IJMP
#endif
REPEAT(uECC_MAX_WORDS, "st x+, __zero_reg__ \n\t")
"1: \n\t"
: "+x" (v)
: [num] "r" (num_words)
:
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
"r30", "r31", "cc"
#endif
);
}
#define asm_clear 1
uECC_VLI_API void uECC_vli_set(uECC_word_t *dest, const uECC_word_t *src, wordcount_t num_words) {
volatile uECC_word_t *d = dest;
__asm__ volatile (
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
"ldi r30, pm_lo8(1f) \n\t"
"ldi r31, pm_hi8(1f) \n\t"
"sub r30, %[num] \n\t"
"sbc r31, __zero_reg__ \n\t"
IJMP
#endif
REPEAT(uECC_MAX_WORDS,
"ld r0, y+ \n\t"
"st x+, r0 \n\t")
"1: \n\t"
: "+x" (d), "+y" (src)
: [num] "r" ((uint8_t)(num_words * 2))
: "r0"
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
, "r30", "r31", "cc"
#endif
);
}
#define asm_set 1
uECC_VLI_API void uECC_vli_rshift1(uECC_word_t *vli, wordcount_t num_words) {
volatile uECC_word_t *v = vli;
__asm__ volatile (
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
"ldi r30, pm_lo8(1f) \n\t"
"ldi r31, pm_hi8(1f) \n\t"
"sub r30, %[jump] \n\t"
"sbc r31, __zero_reg__ \n\t"
#endif
"add r26, %[num] \n\t"
"adc r27, __zero_reg__ \n\t"
"ld r0, -x \n\t"
"lsr r0 \n\t"
"st x, r0 \n\t"
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
IJMP
#endif
REPEAT(DEC(uECC_MAX_WORDS),
"ld r0, -x \n\t"
"ror r0 \n\t"
"st x, r0 \n\t")
"1: \n\t"
: "+x" (v)
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
: [num] "r" (num_words), [jump] "r" ((uint8_t)(3 * (num_words - 1)))
: "r0", "r30", "r31", "cc"
#else
: [num] "r" (num_words)
: "r0", "cc"
#endif
);
}
#define asm_rshift1 1
#define ADD_RJPM_TABLE(N) \
"movw r30, %A[result] \n\t" \
"rjmp add_%=_" #N " \n\t"
#define ADD_RJPM_DEST(N) \
"add_%=_" #N ":" \
"ld %[clb], x+ \n\t" \
"ld %[rb], y+ \n\t" \
"adc %[clb], %[rb] \n\t" \
"st z+, %[clb] \n\t"
uECC_VLI_API uECC_word_t uECC_vli_add(uECC_word_t *result,
const uECC_word_t *left,
const uECC_word_t *right,
wordcount_t num_words) {
volatile uECC_word_t *r = result;
uint8_t carry;
uint8_t right_byte;
__asm__ volatile (
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
"ldi r30, pm_lo8(add_%=_" STR(uECC_MAX_WORDS) ") \n\t"
"ldi r31, pm_hi8(add_%=_" STR(uECC_MAX_WORDS) ") \n\t"
"sub r30, %[num] \n\t"
"sbc r31, __zero_reg__ \n\t"
#endif
"clc \n\t"
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
IJMP
REPEATM(uECC_MAX_WORDS, ADD_RJPM_TABLE)
#endif
REPEATM(uECC_MAX_WORDS, ADD_RJPM_DEST)
"mov %[clb], __zero_reg__ \n\t"
"adc %[clb], %[clb] \n\t" /* Store carry bit. */
: "+x" (left), "+y" (right),
[clb] "=&r" (carry), [rb] "=&r" (right_byte)
: [result] "r" (r), [num] "r" ((uint8_t)(num_words * 2))
: "r30", "r31", "cc"
);
return carry;
}
#define asm_add 1
#define SUB_RJPM_TABLE(N) \
"movw r30, %A[result] \n\t" \
"rjmp sub_%=_" #N " \n\t"
#define SUB_RJPM_DEST(N) \
"sub_%=_" #N ":" \
"ld %[clb], x+ \n\t" \
"ld %[rb], y+ \n\t" \
"sbc %[clb], %[rb] \n\t" \
"st z+, %[clb] \n\t"
uECC_VLI_API uECC_word_t uECC_vli_sub(uECC_word_t *result,
const uECC_word_t *left,
const uECC_word_t *right,
wordcount_t num_words) {
volatile uECC_word_t *r = result;
uint8_t carry;
uint8_t right_byte;
__asm__ volatile (
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
"ldi r30, pm_lo8(sub_%=_" STR(uECC_MAX_WORDS) ") \n\t"
"ldi r31, pm_hi8(sub_%=_" STR(uECC_MAX_WORDS) ") \n\t"
"sub r30, %[num] \n\t"
"sbc r31, __zero_reg__ \n\t"
#endif
"clc \n\t"
#if (uECC_MAX_WORDS != uECC_MIN_WORDS)
IJMP
REPEATM(uECC_MAX_WORDS, SUB_RJPM_TABLE)
#endif
REPEATM(uECC_MAX_WORDS, SUB_RJPM_DEST)
"mov %[clb], __zero_reg__ \n\t"
"adc %[clb], %[clb] \n\t" /* Store carry bit. */
: "+x" (left), "+y" (right),
[clb] "=&r" (carry), [rb] "=&r" (right_byte)
: [result] "r" (r), [num] "r" ((uint8_t)(num_words * 2))
: "r30", "r31", "cc"
);
return carry;
}
#define asm_sub 1
#if (uECC_OPTIMIZATION_LEVEL >= 3)
#include "asm_avr_mult_square.inc"
__attribute((noinline))
uECC_VLI_API void uECC_vli_mult(uECC_word_t *result,
const uECC_word_t *left,
const uECC_word_t *right,
wordcount_t num_words) {
/* num_words should already be in r18. */
register wordcount_t r18 __asm__("r18") = num_words;
//L1uTongwei: To fix issue #154, we need to divide the asm code, because the code is too long.
FAST_MULT_ENVIRONMENT("push r18 \n\t");
#if (uECC_MIN_WORDS == 20)
FAST_MULT_ENVIRONMENT(FAST_MULT_ASM_20);
FAST_MULT_ENVIRONMENT("pop r18 \n\t");
#if (uECC_MAX_WORDS > 20)
FAST_MULT_ENVIRONMENT(FAST_MULT_ASM_20_TO_24);
#endif
#if (uECC_MAX_WORDS > 24)
FAST_MULT_ENVIRONMENT(FAST_MULT_ASM_24_TO_28);
#endif
#if (uECC_MAX_WORDS > 28)
FAST_MULT_ENVIRONMENT(FAST_MULT_ASM_28_TO_32);
#endif
#elif (uECC_MIN_WORDS == 24)
FAST_MULT_ENVIRONMENT(FAST_MULT_ASM_24);
FAST_MULT_ENVIRONMENT("pop r18 \n\t");
#if (uECC_MAX_WORDS > 24)
FAST_MULT_ENVIRONMENT(FAST_MULT_ASM_24_TO_28);
#endif
#if (uECC_MAX_WORDS > 28)
FAST_MULT_ENVIRONMENT(FAST_MULT_ASM_28_TO_32);
#endif
#elif (uECC_MIN_WORDS == 28)
FAST_MULT_ENVIRONMENT(FAST_MULT_ASM_28)
FAST_MULT_ENVIRONMENT("pop r18 \n\t");
#if (uECC_MAX_WORDS > 28)
FAST_MULT_ENVIRONMENT(FAST_MULT_ASM_28_TO_32);
#endif
#elif (uECC_MIN_WORDS == 32)
FAST_MULT_ENVIRONMENT(FAST_MULT_ASM_32);
FAST_MULT_ENVIRONMENT("pop r18 \n\t");
#endif
FAST_MULT_ENVIRONMENT("2: \n\t eor r1, r1 \n\t");
}
#define asm_mult 1
#if uECC_SQUARE_FUNC
__attribute((noinline))
uECC_VLI_API void uECC_vli_square(uECC_word_t *result,
const uECC_word_t *left,
wordcount_t num_words) {
/* num_words should already be in r20. */
register wordcount_t r20 __asm__("r20") = num_words;
//L1uTongwei: these code are the same as mult.
FAST_SQUARE_ENVIRONMENT("push r20 \n\t");
#if (uECC_MIN_WORDS == 20)
FAST_SQUARE_ENVIRONMENT(FAST_SQUARE_ASM_20);
FAST_SQUARE_ENVIRONMENT("pop r20 \n\t");
#if (uECC_MAX_WORDS > 20)
FAST_SQUARE_ENVIRONMENT(FAST_SQUARE_ASM_20_TO_24);
#endif
#if (uECC_MAX_WORDS > 24)
FAST_SQUARE_ENVIRONMENT(FAST_SQUARE_ASM_24_TO_28);
#endif
#if (uECC_MAX_WORDS > 28)
FAST_SQUARE_ENVIRONMENT(FAST_SQUARE_ASM_28_TO_32);
#endif
#elif (uECC_MIN_WORDS == 24)
FAST_SQUARE_ENVIRONMENT(FAST_SQUARE_ASM_24);
FAST_SQUARE_ENVIRONMENT("pop r20 \n\t");
#if (uECC_MAX_WORDS > 24)
FAST_SQUARE_ENVIRONMENT(FAST_SQUARE_ASM_24_TO_28);
#endif
#if (uECC_MAX_WORDS > 28)
FAST_SQUARE_ENVIRONMENT(FAST_SQUARE_ASM_28_TO_32);
#endif
#elif (uECC_MIN_WORDS == 28)
FAST_SQUARE_ENVIRONMENT(FAST_SQUARE_ASM_28);
FAST_SQUARE_ENVIRONMENT("pop r20 \n\t");
#if (uECC_MAX_WORDS > 28)
FAST_SQUARE_ENVIRONMENT(FAST_SQUARE_ASM_28_TO_32);
#endif
#elif (uECC_MIN_WORDS == 32)
FAST_SQUARE_ENVIRONMENT(FAST_SQUARE_ASM_32);
FAST_SQUARE_ENVIRONMENT("pop r20 \n\t");
#endif
FAST_SQUARE_ENVIRONMENT("2: \n\t eor r1, r1 \n\t");
}
#define asm_square 1
#endif /* uECC_SQUARE_FUNC */
#endif /* (uECC_OPTIMIZATION_LEVEL >= 3) */
#if uECC_SUPPORTS_secp160r1
static const struct uECC_Curve_t curve_secp160r1;
static void vli_mmod_fast_secp160r1(uECC_word_t *result, uECC_word_t *product) {
uint8_t carry = 0;
__asm__ volatile (
"in r30, __SP_L__ \n\t"
"in r31, __SP_H__ \n\t"
"sbiw r30, 24 \n\t"
"in r0, __SREG__ \n\t"
"cli \n\t"
"out __SP_H__, r31 \n\t"
"out __SREG__, r0 \n\t"
"out __SP_L__, r30 \n\t"
"adiw r30, 25 \n\t" /* we are shifting by 31 bits, so shift over 4 bytes
(+ 1 since z initially points below the stack) */
"adiw r26, 40 \n\t" /* end of product */
"ld r18, -x \n\t" /* Load word. */
"lsr r18 \n\t" /* Shift. */
"st -z, r18 \n\t" /* Store the first result word. */
/* Now we just do the remaining words with the carry bit (using ROR) */
REPEAT(19,
"ld r18, -x \n\t"
"ror r18 \n\t"
"st -z, r18 \n\t")
"eor r18, r18 \n\t" /* r18 = 0 */
"ror r18 \n\t" /* get last bit */
"st -z, r18 \n\t" /* store it */
"sbiw r30, 3 \n\t" /* move z back to point at tmp */
/* now we add right */
"ld r18, x+ \n\t"
"st z+, r18 \n\t" /* the first 3 bytes do not need to be added */
"ld r18, x+ \n\t"
"st z+, r18 \n\t"
"ld r18, x+ \n\t"
"st z+, r18 \n\t"
"ld r18, x+ \n\t"
"ld r19, z \n\t"
"add r18, r19 \n\t"
"st z+, r18 \n\t"
/* Now we just do the remaining words with the carry bit (using ADC) */
REPEAT(16,
"ld r18, x+ \n\t"
"ld r19, z \n\t"
"adc r18, r19 \n\t"
"st z+, r18 \n\t")
/* Propagate over the remaining bytes of result */
"ld r18, z \n\t"
"adc r18, r1 \n\t"
"st z+, r18 \n\t"
"ld r18, z \n\t"
"adc r18, r1 \n\t"
"st z+, r18 \n\t"
"ld r18, z \n\t"
"adc r18, r1 \n\t"
"st z+, r18 \n\t"
"ld r18, z \n\t"
"adc r18, r1 \n\t"
"st z+, r18 \n\t"
"sbiw r30, 24 \n\t" /* move z back to point at tmp */
"sbiw r26, 40 \n\t" /* move x back to point at product */
/* add low bytes of tmp to product, storing in result */
"ld r18, z+ \n\t"
"ld r19, x+ \n\t"
"add r18, r19 \n\t"
"st y+, r18 \n\t"
REPEAT(19,
"ld r18, z+ \n\t"
"ld r19, x+ \n\t"
"adc r18, r19 \n\t"
"st y+, r18 \n\t")
"adc %[carry], __zero_reg__ \n\t" /* Store carry bit (carry flag is cleared). */
/* at this point x is at the end of product, y is at the end of result,
z is 20 bytes into tmp */
"sbiw r28, 20 \n\t" /* move y back to point at result */
"adiw r30, 4 \n\t" /* move z to point to the end of tmp */
/* do omega_mult again with the 4 relevant bytes */
/* z points to the end of tmp, x points to the end of product */
"ld r18, -z \n\t" /* Load word. */
"lsr r18 \n\t" /* Shift. */
"st -x, r18 \n\t" /* Store the first result word. */
"ld r18, -z \n\t"
"ror r18 \n\t"
"st -x, r18 \n\t"
"ld r18, -z \n\t"
"ror r18 \n\t"
"st -x, r18 \n\t"
"ld r18, -z \n\t"
"ror r18 \n\t"
"st -x, r18 \n\t"
"eor r18, r18 \n\t" /* r18 = 0 */
"ror r18 \n\t" /* get last bit */
"st -x, r18 \n\t" /* store it */
"sbiw r26, 3 \n\t" /* move x back to point at beginning */
/* now we add a copy of the 4 bytes */
"ld r18, z+ \n\t"
"st x+, r18 \n\t" /* the first 3 bytes do not need to be added */
"ld r18, z+ \n\t"
"st x+, r18 \n\t"
"ld r18, z+ \n\t"
"st x+, r18 \n\t"
"ld r18, z+ \n\t"
"ld r19, x \n\t"
"add r18, r19 \n\t"
"st x+, r18 \n\t"
/* Propagate over the remaining bytes */
"ld r18, x \n\t"
"adc r18, r1 \n\t"
"st x+, r18 \n\t"
"ld r18, x \n\t"
"adc r18, r1 \n\t"
"st x+, r18 \n\t"
"ld r18, x \n\t"
"adc r18, r1 \n\t"
"st x+, r18 \n\t"
"ld r18, x \n\t"
"adc r18, r1 \n\t"
"st x+, r18 \n\t"
/* now z points to the end of tmp, x points to the end of product
(y still points at result) */
"sbiw r26, 8 \n\t" /* move x back to point at beginning of actual data */
/* add into result */
"ld r18, x+ \n\t"
"ld r19, y \n\t"
"add r18, r19 \n\t"
"st y+, r18 \n\t"
REPEAT(7,
"ld r18, x+ \n\t"
"ld r19, y \n\t"
"adc r18, r19 \n\t"
"st y+, r18 \n\t")
/* Done adding, now propagate carry bit */
REPEAT(12,
"ld r18, y \n\t"
"adc r18, __zero_reg__ \n\t"
"st y+, r18 \n\t")
"adc %[carry], __zero_reg__ \n\t" /* Store carry bit (carry flag is cleared). */
"sbiw r28, 20 \n\t" /* move y back to point at result */
"sbiw r30, 1 \n\t" /* fix stack pointer */
"in r0, __SREG__ \n\t"
"cli \n\t"
"out __SP_H__, r31 \n\t"
"out __SREG__, r0 \n\t"
"out __SP_L__, r30 \n\t"
: "+x" (product), [carry] "+r" (carry)
: "y" (result)
: "r0", "r18", "r19", "r30", "r31", "cc"
);
if (carry > 0) {
--carry;
uECC_vli_sub(result, result, curve_secp160r1.p, 20);
}
if (carry > 0) {
uECC_vli_sub(result, result, curve_secp160r1.p, 20);
}
if (uECC_vli_cmp_unsafe(result, curve_secp160r1.p, 20) > 0) {
uECC_vli_sub(result, result, curve_secp160r1.p, 20);
}
}
#define asm_mmod_fast_secp160r1 1
#endif /* uECC_SUPPORTS_secp160r1 */
#if uECC_SUPPORTS_secp256k1
static const struct uECC_Curve_t curve_secp256k1;
static void vli_mmod_fast_secp256k1(uECC_word_t *result, uECC_word_t *product) {
uint8_t carry = 0;
__asm__ volatile (
"in r30, __SP_L__ \n\t"
"in r31, __SP_H__ \n\t"
"sbiw r30, 37 \n\t"
"in r0, __SREG__ \n\t"
"cli \n\t"
"out __SP_H__, r31 \n\t"
"out __SREG__, r0 \n\t"
"out __SP_L__, r30 \n\t"
"adiw r30, 1 \n\t" /* add 1 since z initially points below the stack */
"adiw r26, 32 \n\t" /* product + uECC_WORDS */
"ldi r25, 0x03 \n\t"
"ldi r24, 0xD1 \n\t"
"ld r18, x+ \n\t"
"ld r19, x+ \n\t"
"ld r20, x+ \n\t"
"ld r21, x+ \n\t"
"mul r24, r18 \n\t"
"st z+, r0 \n\t"
"mov r22, r1 \n\t"
"ldi r23, 0 \n\t"
"mul r24, r19 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t" /* can't overflow */
"mul r25, r18 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t" /* can't overflow */
"st z+, r22 \n\t"
"ldi r22, 0 \n\t"
"mul r24, r20 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"mul r25, r19 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"st z+, r23 \n\t"
"ldi r23, 0 \n\t"
"mul r24, r21 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"mul r25, r20 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"st z+, r22 \n\t"
"ldi r22, 0 \n\t"
/* now we start adding the 2^32 part as well */
"add r23, r18 \n\t" // 28
"adc r22, r22 \n\t"
"ld r18, x+ \n\t"
"mul r24, r18 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"mul r25, r21 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"st z+, r23 \n\t"
"ldi r23, 0 \n\t"
"add r22, r19 \n\t" // 27
"adc r23, r23 \n\t"
"ld r19, x+ \n\t"
"mul r24, r19 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"mul r25, r18 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"st z+, r22 \n\t"
"ldi r22, 0 \n\t"
REPEAT(6, // 26 - 3
"add r23, r20 \n\t"
"adc r22, r22 \n\t"
"ld r20, x+ \n\t"
"mul r24, r20 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"mul r25, r19 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"st z+, r23 \n\t"
"ldi r23, 0 \n\t"
"add r22, r21 \n\t"
"adc r23, r23 \n\t"
"ld r21, x+ \n\t"
"mul r24, r21 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"mul r25, r20 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"st z+, r22 \n\t"
"ldi r22, 0 \n\t"
"add r23, r18 \n\t"
"adc r22, r22 \n\t"
"ld r18, x+ \n\t"
"mul r24, r18 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"mul r25, r21 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"st z+, r23 \n\t"
"ldi r23, 0 \n\t"
"add r22, r19 \n\t"
"adc r23, r23 \n\t"
"ld r19, x+ \n\t"
"mul r24, r19 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"mul r25, r18 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"st z+, r22 \n\t"
"ldi r22, 0 \n\t")
"add r23, r20 \n\t" // 2
"adc r22, r22 \n\t"
"ld r20, x+ \n\t"
"mul r24, r20 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"mul r25, r19 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"st z+, r23 \n\t"
"ldi r23, 0 \n\t"
"add r22, r21 \n\t" // 1
"adc r23, r23 \n\t"
"ld r21, x+ \n\t"
"mul r24, r21 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"mul r25, r20 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"st z+, r22 \n\t"
"ldi r22, 0 \n\t"
/* Now finish the carries etc */
"add r23, r18 \n\t"
"adc r22, r22 \n\t"
"mul r25, r21 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"st z+, r23 \n\t"
"ldi r23, 0 \n\t"
"add r22, r19 \n\t"
"adc r23, r23 \n\t"
"st z+, r22 \n\t"
"ldi r22, 0 \n\t"
"add r23, r20 \n\t"
"adc r22, r22 \n\t"
"st z+, r23 \n\t"
"ldi r23, 0 \n\t"
"add r22, r21 \n\t"
"adc r23, r23 \n\t"
"st z+, r22 \n\t"
"st z+, r23 \n\t"
"eor r1, r1 \n\t" /* make r1 be 0 again */
"sbiw r30, 37 \n\t" /* move z back to point at tmp */
"subi r26, 64 \n\t" /* move x back to point at product */
"sbc r27, __zero_reg__ \n\t"
/* add low bytes of tmp to product, storing in result */
"ld r18, z+ \n\t"
"ld r19, x+ \n\t"
"add r18, r19 \n\t"
"st y+, r18 \n\t"
REPEAT(31,
"ld r18, z+ \n\t"
"ld r19, x+ \n\t"
"adc r18, r19 \n\t"
"st y+, r18 \n\t")
"adc %[carry], __zero_reg__ \n\t" /* Store carry bit (carry flag is cleared). */
/* at this point x is at the end of product, y is at the end of result,
z is 32 bytes into tmp */
"sbiw r28, 32 \n\t" /* move y back to point at result */
/* do omega_mult again with the 5 relevant bytes */
/* z points to tmp + uECC_WORDS, x points to the end of product */
"sbiw r26, 32 \n\t" /* shift x back to point into the product buffer
(we can overwrite it now) */
"ld r18, z+ \n\t"
"ld r19, z+ \n\t"
"ld r20, z+ \n\t"
"ld r21, z+ \n\t"
"mul r24, r18 \n\t"
"st x+, r0 \n\t"
"mov r22, r1 \n\t"
"ldi r23, 0 \n\t"
"mul r24, r19 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t" /* can't overflow */
"mul r25, r18 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t" /* can't overflow */
"st x+, r22 \n\t"
"ldi r22, 0 \n\t"
"mul r24, r20 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"mul r25, r19 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"st x+, r23 \n\t"
"ldi r23, 0 \n\t"
"mul r24, r21 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"mul r25, r20 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"st x+, r22 \n\t"
"ldi r22, 0 \n\t"
"add r23, r18 \n\t"
"adc r22, r22 \n\t"
"ld r18, z+ \n\t"
"mul r24, r18 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"mul r25, r21 \n\t"
"add r23, r0 \n\t"
"adc r22, r1 \n\t"
"st x+, r23 \n\t"
"ldi r23, 0 \n\t"
/* Now finish the carries etc */
"add r22, r19 \n\t"
"adc r23, r23 \n\t"
"mul r25, r18 \n\t"
"add r22, r0 \n\t"
"adc r23, r1 \n\t"
"st x+, r22 \n\t"
"ldi r22, 0 \n\t"
"add r23, r20 \n\t"
"adc r22, r22 \n\t"
"st x+, r23 \n\t"
"ldi r23, 0 \n\t"
"add r22, r21 \n\t"
"adc r23, r23 \n\t"
"st x+, r22 \n\t"
"ldi r22, 0 \n\t"
"add r23, r18 \n\t"
"adc r22, r22 \n\t"
"st x+, r23 \n\t"
"st x+, r22 \n\t"
"eor r1, r1 \n\t" /* make r1 be 0 again */
/* now z points to the end of tmp, x points to the end of product
(y still points at result) */
"sbiw r26, 10 \n\t" /* move x back to point at beginning of actual data */
/* add into result */
"ld r18, x+ \n\t"
"ld r19, y \n\t"
"add r18, r19 \n\t"
"st y+, r18 \n\t"
REPEAT(9,
"ld r18, x+ \n\t"
"ld r19, y \n\t"
"adc r18, r19 \n\t"
"st y+, r18 \n\t")
/* Done adding, now propagate carry bit */
REPEAT(22,
"ld r18, y \n\t"
"adc r18, __zero_reg__ \n\t"
"st y+, r18 \n\t")
"adc %[carry], __zero_reg__ \n\t" /* Store carry bit (carry flag is cleared). */
"sbiw r28, 32 \n\t" /* move y back to point at result */
"sbiw r30, 1 \n\t" /* fix stack pointer */
"in r0, __SREG__ \n\t"
"cli \n\t"
"out __SP_H__, r31 \n\t"
"out __SREG__, r0 \n\t"
"out __SP_L__, r30 \n\t"
: "+x" (product), [carry] "+r" (carry)
: "y" (result)
: "r0", "r18", "r19", "r20", "r21", "r22", "r23", "r24", "r25", "r30", "r31", "cc"
);
if (carry > 0) {
--carry;
uECC_vli_sub(result, result, curve_secp256k1.p, 32);
}
if (carry > 0) {
uECC_vli_sub(result, result, curve_secp256k1.p, 32);
}
if (uECC_vli_cmp_unsafe(result, curve_secp256k1.p, 32) > 0) {
uECC_vli_sub(result, result, curve_secp256k1.p, 32);
}
}
#define asm_mmod_fast_secp256k1 1
#endif /* uECC_SUPPORTS_secp256k1 */
#endif /* (uECC_OPTIMIZATION_LEVEL >= 2) */
/* ---- "Small" implementations ---- */
#if !asm_add
uECC_VLI_API uECC_word_t uECC_vli_add(uECC_word_t *result,
const uECC_word_t *left,
const uECC_word_t *right,
wordcount_t num_words) {
volatile uECC_word_t *r = result;
uint8_t carry = 0;
uint8_t left_byte;
uint8_t right_byte;
__asm__ volatile (
"clc \n\t"
"1: \n\t"
"ld %[left], x+ \n\t" /* Load left byte. */
"ld %[right], y+ \n\t" /* Load right byte. */
"adc %[left], %[right] \n\t" /* Add. */
"st z+, %[left] \n\t" /* Store the result. */
"dec %[i] \n\t"
"brne 1b \n\t"
"adc %[carry], %[carry] \n\t" /* Store carry bit. */
: "+z" (r), "+x" (left), "+y" (right), [i] "+r" (num_words),
[carry] "+r" (carry), [left] "=&r" (left_byte), [right] "=&r" (right_byte)
:
: "cc"
);
return carry;
}
#define asm_add 1
#endif
#if !asm_sub
uECC_VLI_API uECC_word_t uECC_vli_sub(uECC_word_t *result,
const uECC_word_t *left,
const uECC_word_t *right,
wordcount_t num_words) {
volatile uECC_word_t *r = result;
uint8_t borrow = 0;
uint8_t left_byte;
uint8_t right_byte;
__asm__ volatile (
"clc \n\t"
"1: \n\t"
"ld %[left], x+ \n\t" /* Load left byte. */
"ld %[right], y+ \n\t" /* Load right byte. */
"sbc %[left], %[right] \n\t" /* Subtract. */
"st z+, %[left] \n\t" /* Store the result. */
"dec %[i] \n\t"
"brne 1b \n\t"
"adc %[borrow], %[borrow] \n\t" /* Store carry bit in borrow. */
: "+z" (r), "+x" (left), "+y" (right), [i] "+r" (num_words),
[borrow] "+r" (borrow), [left] "=&r" (left_byte), [right] "=&r" (right_byte)
:
: "cc"
);
return borrow;
}
#define asm_sub 1
#endif
#if !asm_mult
__attribute((noinline))
uECC_VLI_API void uECC_vli_mult(uECC_word_t *result,
const uECC_word_t *left,
const uECC_word_t *right,
wordcount_t num_words) {
volatile uECC_word_t *r = result;
uint8_t r0 = 0;
uint8_t r1 = 0;
uint8_t r2 = 0;
uint8_t zero = 0;
uint8_t k, i;
__asm__ volatile (
"ldi %[k], 1 \n\t" /* k = 1; k < num_words; ++k */
"1: \n\t"
"ldi %[i], 0 \n\t" /* i = 0; i < k; ++i */
"add r28, %[k] \n\t" /* pre-add right ptr */
"adc r29, %[zero] \n\t"
"2: \n\t"
"ld r0, x+ \n\t"
"ld r1, -y \n\t"
"mul r0, r1 \n\t"
"add %[r0], r0 \n\t"
"adc %[r1], r1 \n\t"
"adc %[r2], %[zero] \n\t"
"inc %[i] \n\t"
"cp %[i], %[k] \n\t"
"brlo 2b \n\t" /* loop if i < k */
"sub r26, %[k] \n\t" /* fix up left ptr */
"sbc r27, %[zero] \n\t"
"st z+, %[r0] \n\t" /* Store the result. */
"mov %[r0], %[r1] \n\t"
"mov %[r1], %[r2] \n\t"
"mov %[r2], %[zero] \n\t"
"inc %[k] \n\t"
"cp %[k], %[num] \n\t"
"brlo 1b \n\t" /* loop if k < num_words */
/* second half */
"mov %[k], %[num] \n\t" /* k = num_words; k > 0; --k */
"add r28, %[num] \n\t" /* move right ptr to point at the end of right */
"adc r29, %[zero] \n\t"
"1: \n\t"
"ldi %[i], 0 \n\t" /* i = 0; i < k; ++i */
"2: \n\t"
"ld r0, x+ \n\t"
"ld r1, -y \n\t"
"mul r0, r1 \n\t"
"add %[r0], r0 \n\t"
"adc %[r1], r1 \n\t"
"adc %[r2], %[zero] \n\t"
"inc %[i] \n\t"
"cp %[i], %[k] \n\t"
"brlo 2b \n\t" /* loop if i < k */
"add r28, %[k] \n\t" /* fix up right ptr */
"adc r29, %[zero] \n\t"
"st z+, %[r0] \n\t" /* Store the result. */
"mov %[r0], %[r1] \n\t"
"mov %[r1], %[r2] \n\t"
"mov %[r2], %[zero] \n\t"
"dec %[k] \n\t"
"sub r26, %[k] \n\t" /* fix up left ptr (after k is decremented, so next time
we start 1 higher) */
"sbc r27, %[zero] \n\t"
"cp %[k], %[zero] \n\t"
"brne 1b \n\t" /* loop if k > 0 */
"st z+, %[r0] \n\t" /* Store last result byte. */
"eor r1, r1 \n\t" /* fix r1 to be 0 again */
: "+z" (result), "+x" (left), "+y" (right),
[r0] "+r" (r0), [r1] "+r" (r1), [r2] "+r" (r2),
[zero] "+r" (zero), [num] "+r" (num_words),
[k] "=&r" (k), [i] "=&r" (i)
:
: "r0", "cc"
);
}
#define asm_mult 1
#endif
#if (uECC_SQUARE_FUNC && !asm_square)
uECC_VLI_API void uECC_vli_square(uECC_word_t *result,
const uECC_word_t *left,
wordcount_t num_words) {
volatile uECC_word_t *r = result;
uint8_t r0 = 0;
uint8_t r1 = 0;
uint8_t r2 = 0;
uint8_t zero = 0;
uint8_t k;
__asm__ volatile (
"ldi %[k], 1 \n\t" /* k = 1; k < num_words * 2; ++k */
"1: \n\t"
"movw r26, %[orig] \n\t" /* copy orig ptr to 'left' ptr */