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rust source #1
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Source code
mod fdlibm { /* @(#)fdlibm.h 5.1 93/09/24 */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #![allow(dead_code)] /* Most routines need to check whether a float is finite, infinite, or not a number, and many need to know whether the result of an operation will overflow. These conditions depend on whether the largest exponent is used for NaNs & infinities, or whether it's used for finite numbers. */ /// True if a positive float with bitmask X is finite. #[inline] #[allow(non_snake_case)] pub fn FLT_UWORD_IS_FINITE(x: u32) -> bool { x < INFINITE } /// True if a positive float with bitmask X is not a number. #[inline] #[allow(non_snake_case)] pub fn FLT_UWORD_IS_NAN(x: u32) -> bool { x > INFINITE } /// True if a positive float with bitmask X is +infinity. #[inline] #[allow(non_snake_case)] pub fn FLT_UWORD_IS_INFINITE(x: u32) -> bool { x == INFINITE } const INFINITE: u32 = 0x7f80_0000; /// The bitmask of FLT_MAX. pub const FLT_UWORD_MAX: u32 = 0x7f7f_ffff; /// The bitmask of FLT_MAX/2. pub const FLT_UWORD_HALF_MAX: u32 = FLT_UWORD_MAX - (1 << 23); /// The bitmask of the largest finite exponent (129 if the largest /// exponent is used for finite numbers, 128 otherwise). pub const FLT_UWORD_EXP_MAX: u32 = 0x4300_0000; /// The bitmask of log(FLT_MAX), rounded down. This value is the largest /// input that can be passed to exp() without producing overflow. pub const FLT_UWORD_LOG_MAX: u32 = 0x42b1_7217; /// The bitmask of log(2*FLT_MAX), rounded down. This value is the /// largest input than can be passed to cosh() without producing /// overflow. pub const FLT_UWORD_LOG_2MAX: u32 = 0x42b2_d4fc; /// The largest biased exponent that can be used for finite numbers /// (255 if the largest exponent is used for finite numbers, 254 /// otherwise) pub const FLT_LARGEST_EXP: u32 = FLT_UWORD_MAX >> 23; pub const HUGE: f32 = 3.402_823_466_385_288_60e+38; /* Many routines check for zero and subnormal numbers. Such things depend on whether the target supports denormals or not */ /// True if a positive float with bitmask X is +0. Without denormals, /// any float with a zero exponent is a +0 representation. With /// denormals, the only +0 representation is a 0 bitmask. #[inline] #[allow(non_snake_case)] pub fn FLT_UWORD_IS_ZERO(x: u32) -> bool { x == 0 } /// True if a non-zero positive float with bitmask X is subnormal. /// (Routines should check for zeros first.) #[inline] #[allow(non_snake_case)] pub fn FLT_UWORD_IS_SUBNORMAL(x: u32) -> bool { x < 0x0080_0000 } /// The bitmask of the smallest float above +0. Call this number REAL_FLT_MIN... pub const FLT_UWORD_MIN: u32 = 0x0000_0001; /// The bitmask of the float representation of REAL_FLT_MIN's exponent. pub const FLT_UWORD_EXP_MIN: u32 = 0x4316_0000; /// The bitmask of |log(REAL_FLT_MIN)|, rounding down. pub const FLT_UWORD_LOG_MIN: u32 = 0x42cf_f1b5; /// REAL_FLT_MIN's exponent - EXP_BIAS (1 if denormals are not supported, /// -22 if they are). pub const FLT_SMALLEST_EXP: i32 = -22; } use fdlibm::{FLT_UWORD_IS_FINITE, FLT_UWORD_IS_SUBNORMAL, FLT_UWORD_IS_ZERO}; const B1: u32 = 709_958_130; /* B1 = (84+2/3-0.03306235651)*2**23 */ const B2: u32 = 642_849_266; /* B2 = (76+2/3-0.03306235651)*2**23 */ const C: f32 = 5.428_571_701_0e-01; /* 19/35 = 0x3f0a_f8b0 */ const D: f32 = -7.053_061_127_7e-01; /* -864/1225 = 0xbf34_8ef1 */ const E: f32 = 1.414_285_659_8e+00; /* 99/70 = 0x3fb5_0750 */ const F: f32 = 1.607_142_806_1e+00; /* 45/28 = 0x3fcd_b6db */ const G: f32 = 3.571_428_656_6e-01; /* 5/14 = 0x3eb6_db6e */ /// Cube root (f32) /// /// Computes the cube root of the argument. pub fn cbrtf(x: f32) -> f32 { let hx: u32 = x.to_bits() & 0x7fff_ffff; /* |x| */ let sign: u32 = x.to_bits() & 0x8000_0000; /* sign = sign(x) */ if !FLT_UWORD_IS_FINITE(hx) { return x + x; /* cbrt(NaN,INF) is itself */ } if FLT_UWORD_IS_ZERO(hx) { return x; /* cbrt(0) is itself */ } let x = f32::from_bits(hx); /* x <- |x| */ /* rough cbrt to 5 bits */ let mut t: f32 = if FLT_UWORD_IS_SUBNORMAL(hx) { /* subnormal number */ let t: f32 = f32::from_bits(0x4b80_0000); let high: u32 = (x * t).to_bits(); /* x * (2 ** 24)*/ f32::from_bits((high / 3).wrapping_add(B2)) } else { f32::from_bits((hx / 3).wrapping_add(B1)) }; /* new cbrt to 23 bits */ let r: f32 = t * t / x; let s: f32 = C + r * t; t *= G + F / (s + E + D / s); /* restore the sign bit */ f32::from_bits(t.to_bits() | sign) }
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Xtensa ESP32-S2 gcc 8.2.0 (2019r2)
Xtensa ESP32-S2 gcc 8.2.0 (2020r1)
Xtensa ESP32-S2 gcc 8.2.0 (2020r2)
Xtensa ESP32-S2 gcc 8.4.0 (2020r3)
Xtensa ESP32-S2 gcc 8.4.0 (2021r1)
Xtensa ESP32-S2 gcc 8.4.0 (2021r2)
Xtensa ESP32-S3 gcc 11.2.0 (2022r1)
Xtensa ESP32-S3 gcc 12.2.0 (20230208)
Xtensa ESP32-S3 gcc 14.2.0 (20241119)
Xtensa ESP32-S3 gcc 8.4.0 (2020r3)
Xtensa ESP32-S3 gcc 8.4.0 (2021r1)
Xtensa ESP32-S3 gcc 8.4.0 (2021r2)
arm64 msvc v19.20 VS16.0
arm64 msvc v19.21 VS16.1
arm64 msvc v19.22 VS16.2
arm64 msvc v19.23 VS16.3
arm64 msvc v19.24 VS16.4
arm64 msvc v19.25 VS16.5
arm64 msvc v19.27 VS16.7
arm64 msvc v19.28 VS16.8
arm64 msvc v19.28 VS16.9
arm64 msvc v19.29 VS16.10
arm64 msvc v19.29 VS16.11
arm64 msvc v19.30 VS17.0
arm64 msvc v19.31 VS17.1
arm64 msvc v19.32 VS17.2
arm64 msvc v19.33 VS17.3
arm64 msvc v19.34 VS17.4
arm64 msvc v19.35 VS17.5
arm64 msvc v19.36 VS17.6
arm64 msvc v19.37 VS17.7
arm64 msvc v19.38 VS17.8
arm64 msvc v19.39 VS17.9
arm64 msvc v19.40 VS17.10
arm64 msvc v19.41 VS17.11
arm64 msvc v19.42 VS17.12
arm64 msvc v19.43 VS17.13
arm64 msvc v19.latest
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armv7-a clang 10.0.1
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armv7-a clang 11.0.1
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armv7-a clang 12.0.1
armv7-a clang 13.0.0
armv7-a clang 13.0.1
armv7-a clang 14.0.0
armv7-a clang 15.0.0
armv7-a clang 16.0.0
armv7-a clang 17.0.1
armv7-a clang 18.1.0
armv7-a clang 19.1.0
armv7-a clang 20.1.0
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armv8-a clang (trunk)
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armv8-a clang 11.0.1
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armv8-a clang 12.0.1
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armv8-a clang 13.0.1
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armv8-a clang 15.0.0
armv8-a clang 16.0.0
armv8-a clang 17.0.1
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armv8-a clang 19.1.0
armv8-a clang 20.1.0
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llvm-mos commander X16
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llvm-mos nes-mmc3
llvm-mos nes-nrom
llvm-mos osi-c1p
loongarch64 gcc 12.2.0
loongarch64 gcc 12.3.0
loongarch64 gcc 12.4.0
loongarch64 gcc 12.5.0
loongarch64 gcc 13.1.0
loongarch64 gcc 13.2.0
loongarch64 gcc 13.3.0
loongarch64 gcc 13.4.0
loongarch64 gcc 14.1.0
loongarch64 gcc 14.2.0
loongarch64 gcc 14.3.0
loongarch64 gcc 15.1.0
loongarch64 gcc 15.2.0
mips (el) gcc 12.1.0
mips (el) gcc 12.2.0
mips (el) gcc 12.3.0
mips (el) gcc 12.4.0
mips (el) gcc 12.5.0
mips (el) gcc 13.1.0
mips (el) gcc 13.2.0
mips (el) gcc 13.3.0
mips (el) gcc 13.4.0
mips (el) gcc 14.1.0
mips (el) gcc 14.2.0
mips (el) gcc 14.3.0
mips (el) gcc 15.1.0
mips (el) gcc 15.2.0
mips (el) gcc 4.9.4
mips (el) gcc 5.4
mips (el) gcc 5.5.0
mips (el) gcc 9.5.0
mips clang 13.0.0
mips clang 14.0.0
mips clang 15.0.0
mips clang 16.0.0
mips clang 17.0.1
mips clang 18.1.0
mips clang 19.1.0
mips clang 20.1.0
mips clang 21.1.0
mips gcc 11.2.0
mips gcc 12.1.0
mips gcc 12.2.0
mips gcc 12.3.0
mips gcc 12.4.0
mips gcc 12.5.0
mips gcc 13.1.0
mips gcc 13.2.0
mips gcc 13.3.0
mips gcc 13.4.0
mips gcc 14.1.0
mips gcc 14.2.0
mips gcc 14.3.0
mips gcc 15.1.0
mips gcc 15.2.0
mips gcc 4.9.4
mips gcc 5.4
mips gcc 5.5.0
mips gcc 9.3.0 (codescape)
mips gcc 9.5.0
mips64 (el) gcc 12.1.0
mips64 (el) gcc 12.2.0
mips64 (el) gcc 12.3.0
mips64 (el) gcc 12.4.0
mips64 (el) gcc 12.5.0
mips64 (el) gcc 13.1.0
mips64 (el) gcc 13.2.0
mips64 (el) gcc 13.3.0
mips64 (el) gcc 13.4.0
mips64 (el) gcc 14.1.0
mips64 (el) gcc 14.2.0
mips64 (el) gcc 14.3.0
mips64 (el) gcc 15.1.0
mips64 (el) gcc 15.2.0
mips64 (el) gcc 4.9.4
mips64 (el) gcc 5.4.0
mips64 (el) gcc 5.5.0
mips64 (el) gcc 9.5.0
mips64 clang 13.0.0
mips64 clang 14.0.0
mips64 clang 15.0.0
mips64 clang 16.0.0
mips64 clang 17.0.1
mips64 clang 18.1.0
mips64 clang 19.1.0
mips64 clang 20.1.0
mips64 clang 21.1.0
mips64 gcc 11.2.0
mips64 gcc 12.1.0
mips64 gcc 12.2.0
mips64 gcc 12.3.0
mips64 gcc 12.4.0
mips64 gcc 12.5.0
mips64 gcc 13.1.0
mips64 gcc 13.2.0
mips64 gcc 13.3.0
mips64 gcc 13.4.0
mips64 gcc 14.1.0
mips64 gcc 14.2.0
mips64 gcc 14.3.0
mips64 gcc 15.1.0
mips64 gcc 15.2.0
mips64 gcc 4.9.4
mips64 gcc 5.4
mips64 gcc 5.5.0
mips64 gcc 9.5.0
mips64el clang 13.0.0
mips64el clang 14.0.0
mips64el clang 15.0.0
mips64el clang 16.0.0
mips64el clang 17.0.1
mips64el clang 18.1.0
mips64el clang 19.1.0
mips64el clang 20.1.0
mips64el clang 21.1.0
mipsel clang 13.0.0
mipsel clang 14.0.0
mipsel clang 15.0.0
mipsel clang 16.0.0
mipsel clang 17.0.1
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mipsel clang 19.1.0
mipsel clang 20.1.0
mipsel clang 21.1.0
movfuscator (trunk)
nanoMIPS gcc 6.3.0
power gcc 11.2.0
power gcc 12.1.0
power gcc 12.2.0
power gcc 12.3.0
power gcc 12.4.0
power gcc 12.5.0
power gcc 13.1.0
power gcc 13.2.0
power gcc 13.3.0
power gcc 13.4.0
power gcc 14.1.0
power gcc 14.2.0
power gcc 14.3.0
power gcc 15.1.0
power gcc 15.2.0
power gcc 4.8.5
power64 AT12.0 (gcc8)
power64 AT13.0 (gcc9)
power64le AT12.0 (gcc8)
power64le AT13.0 (gcc9)
power64le clang (trunk)
power64le gcc 11.2.0
power64le gcc 12.1.0
power64le gcc 12.2.0
power64le gcc 12.3.0
power64le gcc 12.4.0
power64le gcc 12.5.0
power64le gcc 13.1.0
power64le gcc 13.2.0
power64le gcc 13.3.0
power64le gcc 13.4.0
power64le gcc 14.1.0
power64le gcc 14.2.0
power64le gcc 14.3.0
power64le gcc 15.1.0
power64le gcc 15.2.0
power64le gcc 6.3.0
power64le gcc trunk
powerpc64 clang (trunk)
ppci 0.5.5
s390x gcc 11.2.0
s390x gcc 12.1.0
s390x gcc 12.2.0
s390x gcc 12.3.0
s390x gcc 12.4.0
s390x gcc 12.5.0
s390x gcc 13.1.0
s390x gcc 13.2.0
s390x gcc 13.3.0
s390x gcc 13.4.0
s390x gcc 14.1.0
s390x gcc 14.2.0
s390x gcc 14.3.0
s390x gcc 15.1.0
s390x gcc 15.2.0
sh gcc 12.2.0
sh gcc 12.3.0
sh gcc 12.4.0
sh gcc 12.5.0
sh gcc 13.1.0
sh gcc 13.2.0
sh gcc 13.3.0
sh gcc 13.4.0
sh gcc 14.1.0
sh gcc 14.2.0
sh gcc 14.3.0
sh gcc 15.1.0
sh gcc 15.2.0
sh gcc 4.9.4
sh gcc 9.5.0
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x64 msvc v19.21 VS16.1
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x64 msvc v19.23 VS16.3
x64 msvc v19.24 VS16.4
x64 msvc v19.25 VS16.5
x64 msvc v19.27 VS16.7
x64 msvc v19.28 VS16.8
x64 msvc v19.28 VS16.9
x64 msvc v19.29 VS16.10
x64 msvc v19.29 VS16.11
x64 msvc v19.30 VS17.0
x64 msvc v19.31 VS17.1
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x64 msvc v19.33 VS17.3
x64 msvc v19.34 VS17.4
x64 msvc v19.35 VS17.5
x64 msvc v19.36 VS17.6
x64 msvc v19.37 VS17.7
x64 msvc v19.38 VS17.8
x64 msvc v19.39 VS17.9
x64 msvc v19.40 VS17.10
x64 msvc v19.41 VS17.11
x64 msvc v19.42 VS17.12
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x64 msvc v19.latest
x86 CompCert 3.10
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x86 gcc 1.27
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x86 msvc v19.31 VS17.1
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x86 msvc v19.34 VS17.4
x86 msvc v19.35 VS17.5
x86 msvc v19.36 VS17.6
x86 msvc v19.37 VS17.7
x86 msvc v19.38 VS17.8
x86 msvc v19.39 VS17.9
x86 msvc v19.40 VS17.10
x86 msvc v19.41 VS17.11
x86 msvc v19.42 VS17.12
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x86 msvc v19.latest
x86 nvc 24.11
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x86 nvc 25.1
x86 nvc 25.3
x86 nvc 25.5
x86 nvc 25.7
x86 nvc 25.9
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x86-64 clang (assertions trunk)
x86-64 clang (thephd.dev)
x86-64 clang (trunk)
x86-64 clang (widberg)
x86-64 clang 10.0.0
x86-64 clang 10.0.1
x86-64 clang 11.0.0
x86-64 clang 11.0.1
x86-64 clang 12.0.0
x86-64 clang 12.0.1
x86-64 clang 13.0.0
x86-64 clang 13.0.1
x86-64 clang 14.0.0
x86-64 clang 15.0.0
x86-64 clang 16.0.0
x86-64 clang 17.0.1
x86-64 clang 18.1.0
x86-64 clang 19.1.0
x86-64 clang 20.1.0
x86-64 clang 21.1.0
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x86-64 clang 3.3
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z88dk 2.2
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Source code
#include <math.h> #ifdef _FLT_LARGEST_EXPONENT_IS_NORMAL #define FLT_UWORD_IS_FINITE(x) 1 #define FLT_UWORD_IS_NAN(x) 0 #define FLT_UWORD_IS_INFINITE(x) 0 #define FLT_UWORD_MAX 0x7fffffff #define FLT_UWORD_EXP_MAX 0x43010000 #define FLT_UWORD_LOG_MAX 0x42b2d4fc #define FLT_UWORD_LOG_2MAX 0x42b437e0 #define HUGE ((float)0X1.FFFFFEP128) #else #define FLT_UWORD_IS_FINITE(x) ((x)<0x7f800000L) #define FLT_UWORD_IS_NAN(x) ((x)>0x7f800000L) #define FLT_UWORD_IS_INFINITE(x) ((x)==0x7f800000L) #define FLT_UWORD_MAX 0x7f7fffffL #define FLT_UWORD_EXP_MAX 0x43000000 #define FLT_UWORD_LOG_MAX 0x42b17217 #define FLT_UWORD_LOG_2MAX 0x42b2d4fc #define HUGE ((float)3.40282346638528860e+38) #endif #define FLT_UWORD_HALF_MAX (FLT_UWORD_MAX-(1L<<23)) #define FLT_LARGEST_EXP (FLT_UWORD_MAX>>23) #ifdef _FLT_NO_DENORMALS #define FLT_UWORD_IS_ZERO(x) ((x)<0x00800000L) #define FLT_UWORD_IS_SUBNORMAL(x) 0 #define FLT_UWORD_MIN 0x00800000 #define FLT_UWORD_EXP_MIN 0x42fc0000 #define FLT_UWORD_LOG_MIN 0x42aeac50 #define FLT_SMALLEST_EXP 1 #else #define FLT_UWORD_IS_ZERO(x) ((x)==0) #define FLT_UWORD_IS_SUBNORMAL(x) ((x)<0x00800000L) #define FLT_UWORD_MIN 0x00000001 #define FLT_UWORD_EXP_MIN 0x43160000 #define FLT_UWORD_LOG_MIN 0x42cff1b5 #define FLT_SMALLEST_EXP -22 #endif #ifdef __STDC__ #undef __P #define __P(p) p #else #define __P(p) () #endif typedef union { float value; __uint32_t word; } ieee_float_shape_type; /* Get a 32 bit int from a float. */ #define GET_FLOAT_WORD(i,d) \ do { \ ieee_float_shape_type gf_u; \ gf_u.value = (d); \ (i) = gf_u.word; \ } while (0) /* Set a float from a 32 bit int. */ #define SET_FLOAT_WORD(d,i) \ do { \ ieee_float_shape_type sf_u; \ sf_u.word = (i); \ (d) = sf_u.value; \ } while (0) /* cbrtf(x) * Return cube root of x */ #ifdef __STDC__ static const __uint32_t #else static __uint32_t #endif B1 = 709958130, /* B1 = (84+2/3-0.03306235651)*2**23 */ B2 = 642849266; /* B2 = (76+2/3-0.03306235651)*2**23 */ #ifdef __STDC__ static const float #else static float #endif C = 5.4285717010e-01, /* 19/35 = 0x3f0af8b0 */ D = -7.0530611277e-01, /* -864/1225 = 0xbf348ef1 */ E = 1.4142856598e+00, /* 99/70 = 0x3fb50750 */ F = 1.6071428061e+00, /* 45/28 = 0x3fcdb6db */ G = 3.5714286566e-01; /* 5/14 = 0x3eb6db6e */ #ifdef __STDC__ float cbrtf(float x) #else float cbrtf(x) float x; #endif { __int32_t hx; float r,s,t; __uint32_t sign; __uint32_t high; GET_FLOAT_WORD(hx,x); sign=hx&0x80000000; /* sign= sign(x) */ hx ^=sign; if(!FLT_UWORD_IS_FINITE(hx)) return(x+x); /* cbrt(NaN,INF) is itself */ if(FLT_UWORD_IS_ZERO(hx)) return(x); /* cbrt(0) is itself */ SET_FLOAT_WORD(x,hx); /* x <- |x| */ /* rough cbrt to 5 bits */ if(FLT_UWORD_IS_SUBNORMAL(hx)) /* subnormal number */ {SET_FLOAT_WORD(t,0x4b800000); /* set t= 2**24 */ t*=x; GET_FLOAT_WORD(high,t); SET_FLOAT_WORD(t,high/3+B2); } else SET_FLOAT_WORD(t,hx/3+B1); /* new cbrt to 23 bits */ r=t*t/x; s=C+r*t; t*=G+F/(s+E+D/s); /* retore the sign bit */ GET_FLOAT_WORD(high,t); SET_FLOAT_WORD(t,high|sign); return(t); }
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