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port grisu2 formatter from redis src
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This code is derived from the C code in redis-7.2.0/deps/fpconv/*, which has | ||
this license: | ||
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Boost Software License - Version 1.0 - August 17th, 2003 | ||
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Permission is hereby granted, free of charge, to any person or organization | ||
obtaining a copy of the software and accompanying documentation covered by | ||
this license (the "Software") to use, reproduce, display, distribute, | ||
execute, and transmit the Software, and to prepare derivative works of the | ||
Software, and to permit third-parties to whom the Software is furnished to | ||
do so, all subject to the following: | ||
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The copyright notices in the Software and this entire statement, including | ||
the above license grant, this restriction and the following disclaimer, | ||
must be included in all copies of the Software, in whole or in part, and | ||
all derivative works of the Software, unless such copies or derivative | ||
works are solely in the form of machine-executable object code generated by | ||
a source language processor. | ||
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT | ||
SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE | ||
FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE, | ||
ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER | ||
DEALINGS IN THE SOFTWARE. |
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.PHONY: test fuzz | ||
test: | ||
go test | ||
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fuzz: | ||
go test -fuzz=Fuzz |
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This is a translation of the actual C code in Redis (7.2) which does the float | ||
-> string conversion. | ||
Strconv does a close enough job, but we can use the exact same logic, so why not. |
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package fpconv | ||
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import ( | ||
"math" | ||
) | ||
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var ( | ||
fracmask uint64 = 0x000FFFFFFFFFFFFF | ||
expmask uint64 = 0x7FF0000000000000 | ||
hiddenbit uint64 = 0x0010000000000000 | ||
signmask uint64 = 0x8000000000000000 | ||
expbias int64 = 1023 + 52 | ||
zeros = []rune("0000000000000000000000") | ||
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tens = []uint64{ | ||
10000000000000000000, | ||
1000000000000000000, | ||
100000000000000000, | ||
10000000000000000, | ||
1000000000000000, | ||
100000000000000, | ||
10000000000000, | ||
1000000000000, | ||
100000000000, | ||
10000000000, | ||
1000000000, | ||
100000000, | ||
10000000, | ||
1000000, | ||
100000, | ||
10000, | ||
1000, | ||
100, | ||
10, | ||
1} | ||
) | ||
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func absv(n int) int { | ||
if n < 0 { | ||
return -n | ||
} | ||
return n | ||
} | ||
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func minv(a, b int) int { | ||
if a < b { | ||
return a | ||
} | ||
return b | ||
} | ||
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func Dtoa(d float64) string { | ||
var ( | ||
dest [25]rune // Note C has 24, which is broken | ||
digits [18]rune | ||
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str_len int = 0 | ||
neg = false | ||
) | ||
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if get_dbits(d)&signmask != 0 { | ||
dest[0] = '-' | ||
str_len++ | ||
neg = true | ||
} | ||
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if spec := filter_special(d, dest[str_len:]); spec != 0 { | ||
return string(dest[:str_len+spec]) | ||
} | ||
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var ( | ||
k int = 0 | ||
ndigits int = grisu2(d, &digits, &k) | ||
) | ||
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str_len += emit_digits(&digits, ndigits, dest[str_len:], k, neg) | ||
return string(dest[:str_len]) | ||
} | ||
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func filter_special(fp float64, dest []rune) int { | ||
if fp == 0.0 { | ||
dest[0] = '0' | ||
return 1 | ||
} | ||
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if math.IsNaN(fp) { | ||
dest[0] = 'n' | ||
dest[1] = 'a' | ||
dest[2] = 'n' | ||
return 3 | ||
} | ||
if math.IsInf(fp, 0) { | ||
dest[0] = 'i' | ||
dest[1] = 'n' | ||
dest[2] = 'f' | ||
return 3 | ||
} | ||
return 0 | ||
} | ||
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func grisu2(d float64, digits *[18]rune, K *int) int { | ||
w := build_fp(d) | ||
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lower, upper := get_normalized_boundaries(w) | ||
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w = normalize(w) | ||
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var k int64 | ||
cp := find_cachedpow10(upper.exp, &k) | ||
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w = multiply(w, cp) | ||
upper = multiply(upper, cp) | ||
lower = multiply(lower, cp) | ||
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lower.frac++ | ||
upper.frac-- | ||
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*K = int(-k) | ||
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return generate_digits(w, upper, lower, digits[:], K) | ||
} | ||
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func emit_digits(digits *[18]rune, ndigits int, dest []rune, K int, neg bool) int { | ||
exp := int(absv(K + ndigits - 1)) | ||
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/* write plain integer */ | ||
if K >= 0 && (exp < (ndigits + 7)) { | ||
copy(dest, digits[:ndigits]) | ||
copy(dest[ndigits:], zeros[:K]) | ||
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return ndigits + K | ||
} | ||
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/* write decimal w/o scientific notation */ | ||
if K < 0 && (K > -7 || exp < 4) { | ||
offset := int(ndigits - absv(K)) | ||
/* fp < 1.0 -> write leading zero */ | ||
if offset <= 0 { | ||
offset = -offset | ||
dest[0] = '0' | ||
dest[1] = '.' | ||
copy(dest[2:], zeros[:offset]) | ||
copy(dest[offset+2:], digits[:ndigits]) | ||
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return ndigits + 2 + offset | ||
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/* fp > 1.0 */ | ||
} else { | ||
copy(dest, digits[:offset]) | ||
dest[offset] = '.' | ||
copy(dest[offset+1:], digits[offset:offset+ndigits-offset]) | ||
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return ndigits + 1 | ||
} | ||
} | ||
/* write decimal w/ scientific notation */ | ||
l := 18 // was: 18-neg | ||
if neg { | ||
l-- | ||
} | ||
ndigits = minv(ndigits, l) | ||
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var idx int = 0 | ||
dest[idx] = digits[0] | ||
idx++ | ||
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if ndigits > 1 { | ||
dest[idx] = '.' | ||
idx++ | ||
copy(dest[idx:], digits[+1:ndigits-1+1]) | ||
idx += ndigits - 1 | ||
} | ||
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dest[idx] = 'e' | ||
idx++ | ||
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sign := '+' | ||
if K+ndigits-1 < 0 { | ||
sign = '-' | ||
} | ||
dest[idx] = sign | ||
idx++ | ||
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var cent rune = 0 | ||
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if exp > 99 { | ||
cent = rune(exp / 100) | ||
dest[idx] = cent + '0' | ||
idx++ | ||
exp -= int(cent) * 100 | ||
} | ||
if exp > 9 { | ||
dec := rune(exp / 10) | ||
dest[idx] = dec + '0' | ||
idx++ | ||
exp -= int(dec) * 10 | ||
} else if cent != 0 { | ||
dest[idx] = '0' | ||
idx++ | ||
} | ||
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dest[idx] = rune(exp%10) + '0' | ||
idx++ | ||
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return idx | ||
} | ||
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func generate_digits(fp, upper, lower Fp, digits []rune, K *int) int { | ||
var ( | ||
wfrac = uint64(upper.frac - fp.frac) | ||
delta = uint64(upper.frac - lower.frac) | ||
) | ||
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one := Fp{ | ||
frac: 1 << -upper.exp, | ||
exp: upper.exp, | ||
} | ||
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part1 := uint64(upper.frac >> -one.exp) | ||
part2 := uint64(upper.frac & (one.frac - 1)) | ||
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var ( | ||
idx = 0 | ||
kappa = 10 | ||
index = 10 | ||
) | ||
/* 1000000000 */ | ||
for ; kappa > 0; index++ { | ||
div := tens[index] | ||
digit := part1 / div | ||
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if digit != 0 || idx != 0 { | ||
digits[idx] = rune(digit) + '0' | ||
idx++ | ||
} | ||
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part1 -= digit * div | ||
kappa-- | ||
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tmp := (part1 << -one.exp) + part2 | ||
if tmp <= delta { | ||
*K += kappa | ||
round_digit(digits, idx, delta, tmp, div<<-one.exp, wfrac) | ||
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return idx | ||
} | ||
} | ||
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/* 10 */ | ||
index = 18 | ||
for { | ||
var unit uint64 = tens[index] | ||
part2 *= 10 | ||
delta *= 10 | ||
kappa-- | ||
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digit := part2 >> -one.exp | ||
if digit != 0 || idx != 0 { | ||
digits[idx] = rune(digit) + '0' | ||
idx++ | ||
} | ||
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part2 &= uint64(one.frac) - 1 | ||
if part2 < delta { | ||
*K += kappa | ||
round_digit(digits, idx, delta, part2, uint64(one.frac), wfrac*unit) | ||
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return idx | ||
} | ||
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index-- | ||
} | ||
} | ||
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func round_digit(digits []rune, | ||
ndigits int, | ||
delta uint64, | ||
rem uint64, | ||
kappa uint64, | ||
frac uint64) { | ||
for rem < frac && delta-rem >= kappa && | ||
(rem+kappa < frac || frac-rem > rem+kappa-frac) { | ||
digits[ndigits-1]-- | ||
rem += kappa | ||
} | ||
} |
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