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39429f7ac9
* removed sprintf for f64 and f32 use * removed all pointers from the code, used unions instead * solved module name problem * fixed tests on vlib/math * fix for alpine-linux math test * small fix on byte allocation for ftoa
158 lines
15 KiB
V
158 lines
15 KiB
V
/**********************************************************************
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*
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* atof util
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*
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* Copyright (c) 2019 Dario Deledda. All rights reserved.
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* Use of this source code is governed by an MIT license
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* that can be found in the LICENSE file.
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*
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* This file contains utilities for convert a string in a f64 variable in a very quick way
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* IEEE 754 standard is used
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*
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* Know limitation:
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* - round to 0 approximation
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* - loos of precision with big exponents
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*
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*
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**********************************************************************/
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module atofq
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// same used in atof, here only for references
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const(
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DOUBLE_PLUS_ZERO = u64(0x0000000000000000)
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DOUBLE_MINUS_ZERO = 0x8000000000000000
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DOUBLE_PLUS_INFINITY = 0x7FF0000000000000
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DOUBLE_MINUS_INFINITY = 0xFFF0000000000000
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)
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union Float64u {
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mut:
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f f64
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u u64 = u64(0)
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}
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// atof_quick return a f64 number from a string in a quick way
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pub fn atof_quick(s string) f64 {
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mut f := Float64u{} // result
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mut sign := f64(1.0) // result sign
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mut i := 0 // index
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// skip white spaces
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for i < s.len && s[i] == ` ` {
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i++
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}
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// check sign
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if i < s.len {
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if s[i] == `-` {
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sign = -1.0
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i++
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}
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else if s[i] == `+` {
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i++
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}
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}
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// infinite
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if s[i] == `i` && i + 2 < s.len && s[i + 1] == `n` && s[i + 2] == `f` {
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if sign > 0.0 {
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f.u = DOUBLE_PLUS_INFINITY
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}
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else {
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f.u = DOUBLE_MINUS_INFINITY
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}
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return f.f
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}
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// skip zeros
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for i < s.len && s[i] == `0` {
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i++
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// we have a zero, manage it
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if i >= s.len {
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if sign > 0.0 {
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f.u = DOUBLE_PLUS_ZERO
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}
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else {
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f.u = DOUBLE_MINUS_ZERO
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}
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return f.f
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}
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}
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// integer part
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for i < s.len && (s[i] >= `0` && s[i] <= `9`) {
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f.f *= f64(10.0)
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f.f += f64(s[i] - `0`)
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i++
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}
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// decimal point
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if i < s.len && s[i] == `.` {
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i++
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mut frac_mul := f64(0.1)
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for i < s.len && (s[i] >= `0` && s[i] <= `9`) {
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f.f += f64(s[i] - `0`) * frac_mul
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frac_mul *= f64(0.1)
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i++
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}
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}
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// exponent management
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if i < s.len && (s[i] == `e` || s[i] == `E`) {
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i++
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mut exp := 0
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mut exp_sign := 1
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// negative exponent
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if i < s.len {
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if s[i] == `-` {
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exp_sign = -1
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i++
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}
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else if s[i] == `+` {
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i++
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}
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}
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// skip zeros
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for i < s.len && s[i] == `0` {
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i++
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}
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for i < s.len && (s[i] >= `0` && s[i] <= `9`) {
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exp *= 10
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exp += int(s[i] - `0`)
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i++
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}
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if exp_sign == 1 {
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if exp > pos_exp.len {
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if sign > 0 {
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f.u = DOUBLE_PLUS_INFINITY
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}
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else {
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f.u = DOUBLE_MINUS_INFINITY
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}
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return f.f
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}
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tmp_mul := Float64u{u: pos_exp[exp]}
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// C.printf("exp: %d [0x%016llx] %f,",exp,pos_exp[exp],tmp_mul)
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f.f = f.f * tmp_mul.f
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}
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else {
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if exp > neg_exp.len {
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if (sign > 0) {
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f.u = DOUBLE_PLUS_ZERO
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}
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else {
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f.u = DOUBLE_MINUS_ZERO
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}
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return f.f
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}
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tmp_mul := Float64u{u: neg_exp[exp]}
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// C.printf("exp: %d [0x%016llx] %f,",exp,pos_exp[exp],tmp_mul)
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f.f = f.f * tmp_mul.f
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}
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}
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f.f = f.f * sign
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return f.f
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}
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const (
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// positive exp of 10 binary form
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pos_exp = [0x3ff0000000000000, 0x4024000000000000, 0x4059000000000000, 0x408f400000000000, 0x40c3880000000000, 0x40f86a0000000000, 0x412e848000000000, 0x416312d000000000, 0x4197d78400000000, 0x41cdcd6500000000, 0x4202a05f20000000, 0x42374876e8000000, 0x426d1a94a2000000, 0x42a2309ce5400000, 0x42d6bcc41e900000, 0x430c6bf526340000, 0x4341c37937e08000, 0x4376345785d8a000, 0x43abc16d674ec800, 0x43e158e460913d00, 0x4415af1d78b58c40, 0x444b1ae4d6e2ef50, 0x4480f0cf064dd592, 0x44b52d02c7e14af6, 0x44ea784379d99db4, 0x45208b2a2c280291, 0x4554adf4b7320335, 0x4589d971e4fe8402, 0x45c027e72f1f1281, 0x45f431e0fae6d721, 0x46293e5939a08cea, 0x465f8def8808b024, 0x4693b8b5b5056e17, 0x46c8a6e32246c99c, 0x46fed09bead87c03, 0x4733426172c74d82, 0x476812f9cf7920e3, 0x479e17b84357691b, 0x47d2ced32a16a1b1, 0x48078287f49c4a1d, 0x483d6329f1c35ca5, 0x48725dfa371a19e7, 0x48a6f578c4e0a061, 0x48dcb2d6f618c879, 0x4911efc659cf7d4c, 0x49466bb7f0435c9e, 0x497c06a5ec5433c6, 0x49b18427b3b4a05c, 0x49e5e531a0a1c873, 0x4a1b5e7e08ca3a8f, 0x4a511b0ec57e649a, 0x4a8561d276ddfdc0, 0x4ababa4714957d30, 0x4af0b46c6cdd6e3e, 0x4b24e1878814c9ce, 0x4b5a19e96a19fc41, 0x4b905031e2503da9, 0x4bc4643e5ae44d13, 0x4bf97d4df19d6057, 0x4c2fdca16e04b86d, 0x4c63e9e4e4c2f344, 0x4c98e45e1df3b015, 0x4ccf1d75a5709c1b, 0x4d03726987666191, 0x4d384f03e93ff9f5, 0x4d6e62c4e38ff872, 0x4da2fdbb0e39fb47, 0x4dd7bd29d1c87a19, 0x4e0dac74463a989f, 0x4e428bc8abe49f64, 0x4e772ebad6ddc73d, 0x4eacfa698c95390c, 0x4ee21c81f7dd43a7, 0x4f16a3a275d49491, 0x4f4c4c8b1349b9b5, 0x4f81afd6ec0e1411, 0x4fb61bcca7119916, 0x4feba2bfd0d5ff5b, 0x502145b7e285bf99, 0x50559725db272f7f, 0x508afcef51f0fb5f, 0x50c0de1593369d1b, 0x50f5159af8044462, 0x512a5b01b605557b, 0x516078e111c3556d, 0x5194971956342ac8, 0x51c9bcdfabc1357a, 0x5200160bcb58c16c, 0x52341b8ebe2ef1c7, 0x526922726dbaae39, 0x529f6b0f092959c7, 0x52d3a2e965b9d81d, 0x53088ba3bf284e24, 0x533eae8caef261ad, 0x53732d17ed577d0c, 0x53a7f85de8ad5c4f, 0x53ddf67562d8b363, 0x5412ba095dc7701e, 0x5447688bb5394c25, 0x547d42aea2879f2e, 0x54b249ad2594c37d, 0x54e6dc186ef9f45c, 0x551c931e8ab87173, 0x5551dbf316b346e8, 0x558652efdc6018a2, 0x55bbe7abd3781eca, 0x55f170cb642b133f, 0x5625ccfe3d35d80e, 0x565b403dcc834e12, 0x569108269fd210cb, 0x56c54a3047c694fe, 0x56fa9cbc59b83a3d, 0x5730a1f5b8132466, 0x5764ca732617ed80, 0x5799fd0fef9de8e0, 0x57d03e29f5c2b18c, 0x58044db473335def, 0x583961219000356b, 0x586fb969f40042c5, 0x58a3d3e2388029bb, 0x58d8c8dac6a0342a, 0x590efb1178484135, 0x59435ceaeb2d28c1, 0x59783425a5f872f1, 0x59ae412f0f768fad, 0x59e2e8bd69aa19cc, 0x5a17a2ecc414a03f, 0x5a4d8ba7f519c84f, 0x5a827748f9301d32, 0x5ab7151b377c247e, 0x5aecda62055b2d9e, 0x5b22087d4358fc82, 0x5b568a9c942f3ba3, 0x5b8c2d43b93b0a8c, 0x5bc19c4a53c4e697, 0x5bf6035ce8b6203d, 0x5c2b843422e3a84d, 0x5c6132a095ce4930, 0x5c957f48bb41db7c, 0x5ccadf1aea12525b, 0x5d00cb70d24b7379, 0x5d34fe4d06de5057, 0x5d6a3de04895e46d, 0x5da066ac2d5daec4, 0x5dd4805738b51a75, 0x5e09a06d06e26112, 0x5e400444244d7cab, 0x5e7405552d60dbd6, 0x5ea906aa78b912cc, 0x5edf485516e7577f, 0x5f138d352e5096af, 0x5f48708279e4bc5b, 0x5f7e8ca3185deb72, 0x5fb317e5ef3ab327, 0x5fe7dddf6b095ff1, 0x601dd55745cbb7ed, 0x6052a5568b9f52f4, 0x60874eac2e8727b1, 0x60bd22573a28f19d, 0x60f2357684599702, 0x6126c2d4256ffcc3, 0x615c73892ecbfbf4, 0x6191c835bd3f7d78, 0x61c63a432c8f5cd6, 0x61fbc8d3f7b3340c, 0x62315d847ad00087, 0x6265b4e5998400a9, 0x629b221effe500d4, 0x62d0f5535fef2084, 0x630532a837eae8a5, 0x633a7f5245e5a2cf, 0x63708f936baf85c1, 0x63a4b378469b6732, 0x63d9e056584240fe, 0x64102c35f729689f, 0x6444374374f3c2c6, 0x647945145230b378, 0x64af965966bce056, 0x64e3bdf7e0360c36, 0x6518ad75d8438f43, 0x654ed8d34e547314, 0x6583478410f4c7ec, 0x65b819651531f9e8, 0x65ee1fbe5a7e7861, 0x6622d3d6f88f0b3d, 0x665788ccb6b2ce0c, 0x668d6affe45f818f, 0x66c262dfeebbb0f9, 0x66f6fb97ea6a9d38, 0x672cba7de5054486, 0x6761f48eaf234ad4, 0x679671b25aec1d89, 0x67cc0e1ef1a724eb, 0x680188d357087713, 0x6835eb082cca94d7, 0x686b65ca37fd3a0d, 0x68a11f9e62fe4448, 0x68d56785fbbdd55a, 0x690ac1677aad4ab1, 0x6940b8e0acac4eaf, 0x6974e718d7d7625a, 0x69aa20df0dcd3af1, 0x69e0548b68a044d6, 0x6a1469ae42c8560c, 0x6a498419d37a6b8f, 0x6a7fe52048590673, 0x6ab3ef342d37a408, 0x6ae8eb0138858d0a, 0x6b1f25c186a6f04c, 0x6b537798f4285630, 0x6b88557f31326bbb, 0x6bbe6adefd7f06aa, 0x6bf302cb5e6f642a, 0x6c27c37e360b3d35, 0x6c5db45dc38e0c82, 0x6c9290ba9a38c7d1, 0x6cc734e940c6f9c6, 0x6cfd022390f8b837, 0x6d3221563a9b7323, 0x6d66a9abc9424feb, 0x6d9c5416bb92e3e6, 0x6dd1b48e353bce70, 0x6e0621b1c28ac20c, 0x6e3baa1e332d728f, 0x6e714a52dffc6799, 0x6ea59ce797fb817f, 0x6edb04217dfa61df, 0x6f10e294eebc7d2c, 0x6f451b3a2a6b9c76, 0x6f7a6208b5068394, 0x6fb07d457124123d, 0x6fe49c96cd6d16cc, 0x7019c3bc80c85c7f, 0x70501a55d07d39cf, 0x708420eb449c8843, 0x70b9292615c3aa54, 0x70ef736f9b3494e9, 0x7123a825c100dd11, 0x7158922f31411456, 0x718eb6bafd91596b, 0x71c33234de7ad7e3, 0x71f7fec216198ddc, 0x722dfe729b9ff153, 0x7262bf07a143f6d4, 0x72976ec98994f489, 0x72cd4a7bebfa31ab, 0x73024e8d737c5f0b, 0x7336e230d05b76cd, 0x736c9abd04725481, 0x73a1e0b622c774d0, 0x73d658e3ab795204, 0x740bef1c9657a686, 0x74417571ddf6c814, 0x7475d2ce55747a18, 0x74ab4781ead1989e, 0x74e10cb132c2ff63, 0x75154fdd7f73bf3c, 0x754aa3d4df50af0b, 0x7580a6650b926d67, 0x75b4cffe4e7708c0, 0x75ea03fde214caf1, 0x7620427ead4cfed6, 0x7654531e58a03e8c, 0x768967e5eec84e2f, 0x76bfc1df6a7a61bb, 0x76f3d92ba28c7d15, 0x7728cf768b2f9c5a, 0x775f03542dfb8370, 0x779362149cbd3226, 0x77c83a99c3ec7eb0, 0x77fe494034e79e5c, 0x7832edc82110c2f9, 0x7867a93a2954f3b8, 0x789d9388b3aa30a5, 0x78d27c35704a5e67, 0x79071b42cc5cf601, 0x793ce2137f743382, 0x79720d4c2fa8a031, 0x79a6909f3b92c83d, 0x79dc34c70a777a4d, 0x7a11a0fc668aac70, 0x7a46093b802d578c, 0x7a7b8b8a6038ad6f, 0x7ab137367c236c65, 0x7ae585041b2c477f, 0x7b1ae64521f7595e, 0x7b50cfeb353a97db, 0x7b8503e602893dd2, 0x7bba44df832b8d46, 0x7bf06b0bb1fb384c, 0x7c2485ce9e7a065f, 0x7c59a742461887f6, 0x7c9008896bcf54fa, 0x7cc40aabc6c32a38, 0x7cf90d56b873f4c7, 0x7d2f50ac6690f1f8, 0x7d63926bc01a973b, 0x7d987706b0213d0a, 0x7dce94c85c298c4c, 0x7e031cfd3999f7b0, 0x7e37e43c8800759c, 0x7e6ddd4baa009303, 0x7ea2aa4f4a405be2, 0x7ed754e31cd072da, 0x7f0d2a1be4048f90, 0x7f423a516e82d9ba, 0x7f76c8e5ca239029, 0x7fac7b1f3cac7433, 0x7fe1ccf385ebc8a0]
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// negative exp of 10 binary form
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neg_exp = [0x3ff0000000000000, 0x3fb999999999999a, 0x3f847ae147ae147b, 0x3f50624dd2f1a9fc, 0x3f1a36e2eb1c432d, 0x3ee4f8b588e368f1, 0x3eb0c6f7a0b5ed8d, 0x3e7ad7f29abcaf48, 0x3e45798ee2308c3a, 0x3e112e0be826d695, 0x3ddb7cdfd9d7bdbb, 0x3da5fd7fe1796495, 0x3d719799812dea11, 0x3d3c25c268497682, 0x3d06849b86a12b9b, 0x3cd203af9ee75616, 0x3c9cd2b297d889bc, 0x3c670ef54646d497, 0x3c32725dd1d243ac, 0x3bfd83c94fb6d2ac, 0x3bc79ca10c924223, 0x3b92e3b40a0e9b4f, 0x3b5e392010175ee6, 0x3b282db34012b251, 0x3af357c299a88ea7, 0x3abef2d0f5da7dd9, 0x3a88c240c4aecb14, 0x3a53ce9a36f23c10, 0x3a1fb0f6be506019, 0x39e95a5efea6b347, 0x39b4484bfeebc2a0, 0x398039d665896880, 0x3949f623d5a8a733, 0x3914c4e977ba1f5c, 0x38e09d8792fb4c49, 0x38aa95a5b7f87a0f, 0x38754484932d2e72, 0x3841039d428a8b8f, 0x380b38fb9daa78e4, 0x37d5c72fb1552d83, 0x37a16c262777579c, 0x376be03d0bf225c7, 0x37364cfda3281e39, 0x3701d7314f534b61, 0x36cc8b8218854567, 0x3696d601ad376ab9, 0x366244ce242c5561, 0x362d3ae36d13bbce, 0x35f7624f8a762fd8, 0x35c2b50c6ec4f313, 0x358dee7a4ad4b81f, 0x3557f1fb6f10934c, 0x352327fc58da0f70, 0x34eea6608e29b24d, 0x34b8851a0b548ea4, 0x34839dae6f76d883, 0x344f62b0b257c0d2, 0x34191bc08eac9a41, 0x33e41633a556e1ce, 0x33b011c2eaabe7d8, 0x3379b604aaaca626, 0x3344919d5556eb52, 0x3310747ddddf22a8, 0x32da53fc9631d10d, 0x32a50ffd44f4a73d, 0x3270d9976a5d5297, 0x323af5bf109550f2, 0x32059165a6ddda5b, 0x31d1411e1f17e1e3, 0x319b9b6364f30304, 0x316615e91d8f359d, 0x3131ab20e472914a, 0x30fc45016d841baa, 0x30c69d9abe034955, 0x309217aefe690777, 0x305cf2b1970e7258, 0x3027288e1271f513, 0x2ff286d80ec190dc, 0x2fbda48ce468e7c7, 0x2f87b6d71d20b96c, 0x2f52f8ac174d6123, 0x2f1e5aacf2156838, 0x2ee8488a5b445360, 0x2eb36d3b7c36a91a, 0x2e7f152bf9f10e90, 0x2e48ddbcc7f40ba6, 0x2e13e497065cd61f, 0x2ddfd424d6faf031, 0x2da97683df2f268d, 0x2d745ecfe5bf520b, 0x2d404bd984990e6f, 0x2d0a12f5a0f4e3e5, 0x2cd4dbf7b3f71cb7, 0x2ca0aff95cc5b092, 0x2c6ab328946f80ea, 0x2c355c2076bf9a55, 0x2c0116805effaeaa, 0x2bcb5733cb32b111, 0x2b95df5ca28ef40d, 0x2b617f7d4ed8c33e, 0x2b2bff2ee48e0530, 0x2af665bf1d3e6a8d, 0x2ac1eaff4a98553d, 0x2a8cab3210f3bb95, 0x2a56ef5b40c2fc77, 0x2a225915cd68c9f9, 0x29ed5b561574765b, 0x29b77c44ddf6c516, 0x2982c9d0b1923745, 0x294e0fb44f50586e, 0x29180c903f7379f2, 0x28e33d4032c2c7f5, 0x28aec866b79e0cba, 0x2878a0522c7e7095, 0x2843b374f06526de, 0x280f8587e7083e30, 0x27d9379fec069826, 0x27a42c7ff0054685, 0x277023998cd10537, 0x2739d28f47b4d525, 0x2704a8729fc3ddb7, 0x26d086c219697e2c, 0x269a71368f0f3047, 0x2665275ed8d8f36c, 0x2630ec4be0ad8f89, 0x25fb13ac9aaf4c0f, 0x25c5a956e225d672, 0x2591544581b7dec2, 0x255bba08cf8c979d, 0x25262e6d72d6dfb0, 0x24f1bebdf578b2f4, 0x24bc6463225ab7ec, 0x2486b6b5b5155ff0, 0x24522bc490dde65a, 0x241d12d41afca3c3, 0x23e7424348ca1c9c, 0x23b29b69070816e3, 0x237dc574d80cf16b, 0x2347d12a4670c123, 0x23130dbb6b8d674f, 0x22de7c5f127bd87e, 0x22a8637f41fcad32, 0x227382cc34ca2428, 0x223f37ad21436d0c, 0x2208f9574dcf8a70, 0x21d3faac3e3fa1f3, 0x219ff779fd329cb9, 0x216992c7fdc216fa, 0x2134756ccb01abfb, 0x21005df0a267bcc9, 0x20ca2fe76a3f9475, 0x2094f31f8832dd2a, 0x2060c27fa028b0ef, 0x202ad0cc33744e4b, 0x1ff573d68f903ea2, 0x1fc1297872d9cbb5, 0x1f8b758d848fac55, 0x1f55f7a46a0c89dd, 0x1f2192e9ee706e4b, 0x1eec1e43171a4a11, 0x1eb67e9c127b6e74, 0x1e81fee341fc585d, 0x1e4ccb0536608d61, 0x1e1708d0f84d3de7, 0x1de26d73f9d764b9, 0x1dad7becc2f23ac2, 0x1d779657025b6235, 0x1d42deac01e2b4f7, 0x1d0e3113363787f2, 0x1cd8274291c6065b, 0x1ca3529ba7d19eaf, 0x1c6eea92a61c3118, 0x1c38bba884e35a7a, 0x1c03c9539d82aec8, 0x1bcfa885c8d117a6, 0x1b99539e3a40dfb8, 0x1b6442e4fb671960, 0x1b303583fc527ab3, 0x1af9ef3993b72ab8, 0x1ac4bf6142f8eefa, 0x1a90991a9bfa58c8, 0x1a5a8e90f9908e0d, 0x1a253eda614071a4, 0x19f0ff151a99f483, 0x19bb31bb5dc320d2, 0x1985c162b168e70e, 0x1951678227871f3e, 0x191bd8d03f3e9864, 0x18e6470cff6546b6, 0x18b1d270cc51055f, 0x187c83e7ad4e6efe, 0x1846cfec8aa52598, 0x18123ff06eea847a, 0x17dd331a4b10d3f6, 0x17a75c1508da432b, 0x1772b010d3e1cf56, 0x173de6815302e556, 0x1707eb9aa8cf1dde, 0x16d322e220a5b17e, 0x169e9e369aa2b597, 0x16687e92154ef7ac, 0x16339874ddd8c623, 0x15ff5a549627a36c, 0x15c91510781fb5f0, 0x159410d9f9b2f7f3, 0x15600d7b2e28c65c, 0x1529af2b7d0e0a2d, 0x14f48c22ca71a1bd, 0x14c0701bd527b498, 0x148a4cf9550c5426, 0x14550a6110d6a9b8, 0x1420d51a73deee2d, 0x13eaee90b964b047, 0x13b58ba6fab6f36c, 0x13813c85955f2923, 0x134b9408eefea839, 0x1316100725988694, 0x12e1a66c1e139edd, 0x12ac3d79c9b8fe2e, 0x12769794a160cb58, 0x124212dd4de70913, 0x120ceafbafd80e85, 0x11d72262f3133ed1, 0x11a281e8c275cbda, 0x116d9ca79d89462a, 0x1137b08617a104ee, 0x1102f39e794d9d8b, 0x10ce5297287c2f45, 0x1098421286c9bf6b, 0x1063680ed23aff89, 0x102f0ce4839198db, 0x0ff8d71d360e13e2, 0x0fc3df4a91a4dcb5, 0x0f8fcbaa82a16121, 0x0f596fbb9bb44db4, 0x0f245962e2f6a490, 0x0ef047824f2bb6da, 0x0eba0c03b1df8af6, 0x0e84d6695b193bf8, 0x0e50ab877c142ffa, 0x0e1aac0bf9b9e65c, 0x0de5566ffafb1eb0, 0x0db111f32f2f4bc0, 0x0d7b4feb7eb212cd, 0x0d45d98932280f0a, 0x0d117ad428200c08, 0x0cdbf7b9d9cce00d, 0x0ca65fc7e170b33e, 0x0c71e6398126f5cb, 0x0c3ca38f350b22df, 0x0c06e93f5da2824c, 0x0bd25432b14ecea3, 0x0b9d53844ee47dd1, 0x0b677603725064a8, 0x0b32c4cf8ea6b6ec, 0x0afe07b27dd78b14, 0x0ac8062864ac6f43, 0x0a9338205089f29c, 0x0a5ec033b40fea93, 0x0a2899c2f6732210, 0x09f3ae3591f5b4d9, 0x09bf7d228322baf5, 0x098930e868e89591, 0x0954272053ed4474, 0x09201f4d0ff10390, 0x08e9cbae7fe805b3, 0x08b4a2f1ffecd15c, 0x0880825b3323dab0, 0x084a6a2b85062ab3, 0x081521bc6a6b555c, 0x07e0e7c9eebc444a, 0x07ab0c764ac6d3a9, 0x0775a391d56bdc87, 0x07414fa7ddefe3a0, 0x070bb2a62fe638ff, 0x06d62884f31e93ff, 0x06a1ba03f5b21000, 0x066c5cd322b67fff, 0x0636b0a8e891ffff, 0x060226ed86db3333, 0x05cd0b15a491eb84, 0x05973c115074bc6a, 0x05629674405d6388, 0x052dbd86cd6238d9, 0x04f7cad23de82d7b, 0x04c308a831868ac9, 0x048e74404f3daadb, 0x04585d003f6488af, 0x04237d99cc506d59, 0x03ef2f5c7a1a488e, 0x03b8f2b061aea072, 0x0383f559e7bee6c1, 0x034feef63f97d79c, 0x03198bf832dfdfb0, 0x02e46ff9c24cb2f3, 0x02b059949b708f29, 0x027a28edc580e50e, 0x0244ed8b04671da5, 0x0210be08d0527e1d, 0x01dac9a7b3b7302f, 0x01a56e1fc2f8f359, 0x017124e63593f5e1, 0x013b6e3d22865634, 0x0105f1ca820511c3, 0x00d18e3b9b374169, 0x009c16c5c5253575, 0x0066789e3750f791, 0x0031fa182c40c60d, 0x000730d67819e8d2, 0x0000b8157268fdaf, 0x000012688b70e62b, 0x000001d74124e3d1, 0x0000002f201d49fb, 0x00000004b6695433, 0x0000000078a42205, 0x000000000c1069cd, 0x000000000134d761, 0x00000000001ee257, 0x00000000000316a2, 0x0000000000004f10, 0x00000000000007e8, 0x00000000000000ca, 0x0000000000000014, 0x0000000000000002]
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