| author | |
| committer | |
| log | 1c05823ff89afc564252fecbf9f91ff5f19fea80 |
| tree | 666e4af3a8583d803f5c0a0358686459f1265192 |
| parent | 5e4aefd2a6dc3bd1db9bf9235b30217c52b0ff80 |
These symbols are already provided by compiler_rt6 files changed, 0 insertions(+), 230 deletions(-)
lib/libc/mingw/math/expf.c deleted-11| ... | @@ -1,11 +0,0 @@ | ||
| 1 | /** | ||
| 2 | * This file has no copyright assigned and is placed in the Public Domain. | ||
| 3 | * This file is part of the mingw-w64 runtime package. | ||
| 4 | * No warranty is given; refer to the file DISCLAIMER.PD within this package. | ||
| 5 | */ | ||
| 6 | #include <math.h> | ||
| 7 | |||
| 8 | float expf (float x) | ||
| 9 | { | ||
| 10 | return (float) exp (x); | ||
| 11 | } | ||
lib/libc/musl/src/math/exp.c deleted-134| ... | @@ -1,134 +0,0 @@ | ||
| 1 | /* | ||
| 2 | * Double-precision e^x function. | ||
| 3 | * | ||
| 4 | * Copyright (c) 2018, Arm Limited. | ||
| 5 | * SPDX-License-Identifier: MIT | ||
| 6 | */ | ||
| 7 | |||
| 8 | #include <math.h> | ||
| 9 | #include <stdint.h> | ||
| 10 | #include "libm.h" | ||
| 11 | #include "exp_data.h" | ||
| 12 | |||
| 13 | #define N (1 << EXP_TABLE_BITS) | ||
| 14 | #define InvLn2N __exp_data.invln2N | ||
| 15 | #define NegLn2hiN __exp_data.negln2hiN | ||
| 16 | #define NegLn2loN __exp_data.negln2loN | ||
| 17 | #define Shift __exp_data.shift | ||
| 18 | #define T __exp_data.tab | ||
| 19 | #define C2 __exp_data.poly[5 - EXP_POLY_ORDER] | ||
| 20 | #define C3 __exp_data.poly[6 - EXP_POLY_ORDER] | ||
| 21 | #define C4 __exp_data.poly[7 - EXP_POLY_ORDER] | ||
| 22 | #define C5 __exp_data.poly[8 - EXP_POLY_ORDER] | ||
| 23 | |||
| 24 | /* Handle cases that may overflow or underflow when computing the result that | ||
| 25 | is scale*(1+TMP) without intermediate rounding. The bit representation of | ||
| 26 | scale is in SBITS, however it has a computed exponent that may have | ||
| 27 | overflown into the sign bit so that needs to be adjusted before using it as | ||
| 28 | a double. (int32_t)KI is the k used in the argument reduction and exponent | ||
| 29 | adjustment of scale, positive k here means the result may overflow and | ||
| 30 | negative k means the result may underflow. */ | ||
| 31 | static inline double specialcase(double_t tmp, uint64_t sbits, uint64_t ki) | ||
| 32 | { | ||
| 33 | 	double_t scale, y; | ||
| 34 | |||
| 35 | 	if ((ki & 0x80000000) == 0) { | ||
| 36 | 		/* k > 0, the exponent of scale might have overflowed by <= 460. */ | ||
| 37 | 		sbits -= 1009ull << 52; | ||
| 38 | 		scale = asdouble(sbits); | ||
| 39 | 		y = 0x1p1009 * (scale + scale * tmp); | ||
| 40 | 		return eval_as_double(y); | ||
| 41 | 	} | ||
| 42 | 	/* k < 0, need special care in the subnormal range. */ | ||
| 43 | 	sbits += 1022ull << 52; | ||
| 44 | 	scale = asdouble(sbits); | ||
| 45 | 	y = scale + scale * tmp; | ||
| 46 | 	if (y < 1.0) { | ||
| 47 | 		/* Round y to the right precision before scaling it into the subnormal | ||
| 48 | 		 range to avoid double rounding that can cause 0.5+E/2 ulp error where | ||
| 49 | 		 E is the worst-case ulp error outside the subnormal range. So this | ||
| 50 | 		 is only useful if the goal is better than 1 ulp worst-case error. */ | ||
| 51 | 		double_t hi, lo; | ||
| 52 | 		lo = scale - y + scale * tmp; | ||
| 53 | 		hi = 1.0 + y; | ||
| 54 | 		lo = 1.0 - hi + y + lo; | ||
| 55 | 		y = eval_as_double(hi + lo) - 1.0; | ||
| 56 | 		/* Avoid -0.0 with downward rounding. */ | ||
| 57 | 		if (WANT_ROUNDING && y == 0.0) | ||
| 58 | 			y = 0.0; | ||
| 59 | 		/* The underflow exception needs to be signaled explicitly. */ | ||
| 60 | 		fp_force_eval(fp_barrier(0x1p-1022) * 0x1p-1022); | ||
| 61 | 	} | ||
| 62 | 	y = 0x1p-1022 * y; | ||
| 63 | 	return eval_as_double(y); | ||
| 64 | } | ||
| 65 | |||
| 66 | /* Top 12 bits of a double (sign and exponent bits). */ | ||
| 67 | static inline uint32_t top12(double x) | ||
| 68 | { | ||
| 69 | 	return asuint64(x) >> 52; | ||
| 70 | } | ||
| 71 | |||
| 72 | double exp(double x) | ||
| 73 | { | ||
| 74 | 	uint32_t abstop; | ||
| 75 | 	uint64_t ki, idx, top, sbits; | ||
| 76 | 	double_t kd, z, r, r2, scale, tail, tmp; | ||
| 77 | |||
| 78 | 	abstop = top12(x) & 0x7ff; | ||
| 79 | 	if (predict_false(abstop - top12(0x1p-54) >= top12(512.0) - top12(0x1p-54))) { | ||
| 80 | 		if (abstop - top12(0x1p-54) >= 0x80000000) | ||
| 81 | 			/* Avoid spurious underflow for tiny x. */ | ||
| 82 | 			/* Note: 0 is common input. */ | ||
| 83 | 			return WANT_ROUNDING ? 1.0 + x : 1.0; | ||
| 84 | 		if (abstop >= top12(1024.0)) { | ||
| 85 | 			if (asuint64(x) == asuint64(-INFINITY)) | ||
| 86 | 				return 0.0; | ||
| 87 | 			if (abstop >= top12(INFINITY)) | ||
| 88 | 				return 1.0 + x; | ||
| 89 | 			if (asuint64(x) >> 63) | ||
| 90 | 				return __math_uflow(0); | ||
| 91 | 			else | ||
| 92 | 				return __math_oflow(0); | ||
| 93 | 		} | ||
| 94 | 		/* Large x is special cased below. */ | ||
| 95 | 		abstop = 0; | ||
| 96 | 	} | ||
| 97 | |||
| 98 | 	/* exp(x) = 2^(k/N) * exp(r), with exp(r) in [2^(-1/2N),2^(1/2N)]. */ | ||
| 99 | 	/* x = ln2/N*k + r, with int k and r in [-ln2/2N, ln2/2N]. */ | ||
| 100 | 	z = InvLn2N * x; | ||
| 101 | #if TOINT_INTRINSICS | ||
| 102 | 	kd = roundtoint(z); | ||
| 103 | 	ki = converttoint(z); | ||
| 104 | #elif EXP_USE_TOINT_NARROW | ||
| 105 | 	/* z - kd is in [-0.5-2^-16, 0.5] in all rounding modes. */ | ||
| 106 | 	kd = eval_as_double(z + Shift); | ||
| 107 | 	ki = asuint64(kd) >> 16; | ||
| 108 | 	kd = (double_t)(int32_t)ki; | ||
| 109 | #else | ||
| 110 | 	/* z - kd is in [-1, 1] in non-nearest rounding modes. */ | ||
| 111 | 	kd = eval_as_double(z + Shift); | ||
| 112 | 	ki = asuint64(kd); | ||
| 113 | 	kd -= Shift; | ||
| 114 | #endif | ||
| 115 | 	r = x + kd * NegLn2hiN + kd * NegLn2loN; | ||
| 116 | 	/* 2^(k/N) ~= scale * (1 + tail). */ | ||
| 117 | 	idx = 2 * (ki % N); | ||
| 118 | 	top = ki << (52 - EXP_TABLE_BITS); | ||
| 119 | 	tail = asdouble(T[idx]); | ||
| 120 | 	/* This is only a valid scale when -1023*N < k < 1024*N. */ | ||
| 121 | 	sbits = T[idx + 1] + top; | ||
| 122 | 	/* exp(x) = 2^(k/N) * exp(r) ~= scale + scale * (tail + exp(r) - 1). */ | ||
| 123 | 	/* Evaluation is optimized assuming superscalar pipelined execution. */ | ||
| 124 | 	r2 = r * r; | ||
| 125 | 	/* Without fma the worst case error is 0.25/N ulp larger. */ | ||
| 126 | 	/* Worst case error is less than 0.5+1.11/N+(abs poly error * 2^53) ulp. */ | ||
| 127 | 	tmp = tail + r + r2 * (C2 + r * C3) + r2 * r2 * (C4 + r * C5); | ||
| 128 | 	if (predict_false(abstop == 0)) | ||
| 129 | 		return specialcase(tmp, sbits, ki); | ||
| 130 | 	scale = asdouble(sbits); | ||
| 131 | 	/* Note: tmp == 0 or |tmp| > 2^-200 and scale > 2^-739, so there | ||
| 132 | 	 is no spurious underflow here even without fma. */ | ||
| 133 | 	return eval_as_double(scale + scale * tmp); | ||
| 134 | } | ||
lib/libc/musl/src/math/expf.c deleted-80| ... | @@ -1,80 +0,0 @@ | ||
| 1 | /* | ||
| 2 | * Single-precision e^x function. | ||
| 3 | * | ||
| 4 | * Copyright (c) 2017-2018, Arm Limited. | ||
| 5 | * SPDX-License-Identifier: MIT | ||
| 6 | */ | ||
| 7 | |||
| 8 | #include <math.h> | ||
| 9 | #include <stdint.h> | ||
| 10 | #include "libm.h" | ||
| 11 | #include "exp2f_data.h" | ||
| 12 | |||
| 13 | /* | ||
| 14 | EXP2F_TABLE_BITS = 5 | ||
| 15 | EXP2F_POLY_ORDER = 3 | ||
| 16 | |||
| 17 | ULP error: 0.502 (nearest rounding.) | ||
| 18 | Relative error: 1.69 * 2^-34 in [-ln2/64, ln2/64] (before rounding.) | ||
| 19 | Wrong count: 170635 (all nearest rounding wrong results with fma.) | ||
| 20 | Non-nearest ULP error: 1 (rounded ULP error) | ||
| 21 | */ | ||
| 22 | |||
| 23 | #define N (1 << EXP2F_TABLE_BITS) | ||
| 24 | #define InvLn2N __exp2f_data.invln2_scaled | ||
| 25 | #define T __exp2f_data.tab | ||
| 26 | #define C __exp2f_data.poly_scaled | ||
| 27 | |||
| 28 | static inline uint32_t top12(float x) | ||
| 29 | { | ||
| 30 | 	return asuint(x) >> 20; | ||
| 31 | } | ||
| 32 | |||
| 33 | float expf(float x) | ||
| 34 | { | ||
| 35 | 	uint32_t abstop; | ||
| 36 | 	uint64_t ki, t; | ||
| 37 | 	double_t kd, xd, z, r, r2, y, s; | ||
| 38 | |||
| 39 | 	xd = (double_t)x; | ||
| 40 | 	abstop = top12(x) & 0x7ff; | ||
| 41 | 	if (predict_false(abstop >= top12(88.0f))) { | ||
| 42 | 		/* |x| >= 88 or x is nan. */ | ||
| 43 | 		if (asuint(x) == asuint(-INFINITY)) | ||
| 44 | 			return 0.0f; | ||
| 45 | 		if (abstop >= top12(INFINITY)) | ||
| 46 | 			return x + x; | ||
| 47 | 		if (x > 0x1.62e42ep6f) /* x > log(0x1p128) ~= 88.72 */ | ||
| 48 | 			return __math_oflowf(0); | ||
| 49 | 		if (x < -0x1.9fe368p6f) /* x < log(0x1p-150) ~= -103.97 */ | ||
| 50 | 			return __math_uflowf(0); | ||
| 51 | 	} | ||
| 52 | |||
| 53 | 	/* x*N/Ln2 = k + r with r in [-1/2, 1/2] and int k. */ | ||
| 54 | 	z = InvLn2N * xd; | ||
| 55 | |||
| 56 | 	/* Round and convert z to int, the result is in [-150*N, 128*N] and | ||
| 57 | 	 ideally ties-to-even rule is used, otherwise the magnitude of r | ||
| 58 | 	 can be bigger which gives larger approximation error. */ | ||
| 59 | #if TOINT_INTRINSICS | ||
| 60 | 	kd = roundtoint(z); | ||
| 61 | 	ki = converttoint(z); | ||
| 62 | #else | ||
| 63 | # define SHIFT __exp2f_data.shift | ||
| 64 | 	kd = eval_as_double(z + SHIFT); | ||
| 65 | 	ki = asuint64(kd); | ||
| 66 | 	kd -= SHIFT; | ||
| 67 | #endif | ||
| 68 | 	r = z - kd; | ||
| 69 | |||
| 70 | 	/* exp(x) = 2^(k/N) * 2^(r/N) ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */ | ||
| 71 | 	t = T[ki % N]; | ||
| 72 | 	t += ki << (52 - EXP2F_TABLE_BITS); | ||
| 73 | 	s = asdouble(t); | ||
| 74 | 	z = C[0] * r + C[1]; | ||
| 75 | 	r2 = r * r; | ||
| 76 | 	y = C[2] * r + 1; | ||
| 77 | 	y = z * r2 + y; | ||
| 78 | 	y = y * s; | ||
| 79 | 	return eval_as_float(y); | ||
| 80 | } | ||
src/libs/mingw.zig-1| ... | @@ -997,7 +997,6 @@ const mingw32_x86_src = [_][]const u8{ | ... | @@ -997,7 +997,6 @@ const mingw32_x86_src = [_][]const u8{ |
| 997 | const mingw32_x86_32_src = [_][]const u8{ | 997 | const mingw32_x86_32_src = [_][]const u8{ |
| 998 | // ucrtbase | 998 | // ucrtbase |
| 999 | "math" ++ path.sep_str ++ "coshf.c", | 999 | "math" ++ path.sep_str ++ "coshf.c", |
| 1000 | "math" ++ path.sep_str ++ "expf.c", | ||
| 1001 | "math" ++ path.sep_str ++ "log10f.c", | 1000 | "math" ++ path.sep_str ++ "log10f.c", |
| 1002 | "math" ++ path.sep_str ++ "logf.c", | 1001 | "math" ++ path.sep_str ++ "logf.c", |
| 1003 | "math" ++ path.sep_str ++ "modff.c", | 1002 | "math" ++ path.sep_str ++ "modff.c", |
src/libs/musl.zig-2| ... | @@ -903,9 +903,7 @@ const src_files = [_][]const u8{ | ... | @@ -903,9 +903,7 @@ const src_files = [_][]const u8{ |
| 903 | "musl/src/math/exp2f.c", | 903 | "musl/src/math/exp2f.c", |
| 904 | "musl/src/math/exp2f_data.c", | 904 | "musl/src/math/exp2f_data.c", |
| 905 | "musl/src/math/exp2l.c", | 905 | "musl/src/math/exp2l.c", |
| 906 | "musl/src/math/exp.c", | ||
| 907 | "musl/src/math/exp_data.c", | 906 | "musl/src/math/exp_data.c", |
| 908 | "musl/src/math/expf.c", | ||
| 909 | "musl/src/math/expl.c", | 907 | "musl/src/math/expl.c", |
| 910 | "musl/src/math/expm1.c", | 908 | "musl/src/math/expm1.c", |
| 911 | "musl/src/math/expm1f.c", | 909 | "musl/src/math/expm1f.c", |
src/libs/wasi_libc.zig-2| ... | @@ -743,9 +743,7 @@ const libc_top_half_src_files = [_][]const u8{ | ... | @@ -743,9 +743,7 @@ const libc_top_half_src_files = [_][]const u8{ |
| 743 | "musl/src/math/exp2f.c", | 743 | "musl/src/math/exp2f.c", |
| 744 | "musl/src/math/exp2f_data.c", | 744 | "musl/src/math/exp2f_data.c", |
| 745 | "musl/src/math/exp2l.c", | 745 | "musl/src/math/exp2l.c", |
| 746 | "musl/src/math/exp.c", | ||
| 747 | "musl/src/math/exp_data.c", | 746 | "musl/src/math/exp_data.c", |
| 748 | "musl/src/math/expf.c", | ||
| 749 | "musl/src/math/expl.c", | 747 | "musl/src/math/expl.c", |
| 750 | "musl/src/math/expm1.c", | 748 | "musl/src/math/expm1.c", |
| 751 | "musl/src/math/expm1f.c", | 749 | "musl/src/math/expm1f.c", |