From b69f695acedd4ce2798ef9ea28d834ceccc789bd Mon Sep 17 00:00:00 2001 From: Rich Felker Date: Tue, 13 Mar 2012 01:17:53 -0400 Subject: first commit of the new libm! thanks to the hard work of Szabolcs Nagy (nsz), identifying the best (from correctness and license standpoint) implementations from freebsd and openbsd and cleaning them up! musl should now fully support c99 float and long double math functions, and has near-complete complex math support. tgmath should also work (fully on gcc-compatible compilers, and mostly on any c99 compiler). based largely on commit 0376d44a890fea261506f1fc63833e7a686dca19 from nsz's libm git repo, with some additions (dummy versions of a few missing long double complex functions, etc.) by me. various cleanups still need to be made, including re-adding (if they're correct) some asm functions that were dropped. --- include/math.h | 73 ++++++++++++++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 64 insertions(+), 9 deletions(-) (limited to 'include/math.h') diff --git a/include/math.h b/include/math.h index ae84a731..f320b8e9 100644 --- a/include/math.h +++ b/include/math.h @@ -37,27 +37,53 @@ extern "C" { #define FP_SUBNORMAL 3 #define FP_NORMAL 4 -int __fpclassifyf(float); int __fpclassify(double); +int __fpclassifyf(float); int __fpclassifyl(long double); +#define __FLOAT_BITS(f) (((union { float __f; __uint32_t __i; }){ (f) }).__i) +#define __DOUBLE_BITS(f) (((union { double __f; __uint64_t __i; }){ (f) }).__i) + #define fpclassify(x) ( \ sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \ sizeof(x) == sizeof(double) ? __fpclassify(x) : \ __fpclassifyl(x) ) -#define isinf(x) (fpclassify(x) == FP_INFINITE) -#define isnan(x) (fpclassify(x) == FP_NAN) -#define isnormal(x) (fpclassify(x) == FP_NORMAL) -#define isfinite(x) (fpclassify(x) > FP_INFINITE) +#define isinf(x) ( \ + sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \ + sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) == (__uint64_t)0x7ff<<52 : \ + __fpclassifyl(x) == FP_INFINITE) + +#define isnan(x) ( \ + sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \ + sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) > (__uint64_t)0x7ff<<52 : \ + __fpclassifyl(x) == FP_NAN) + +#define isnormal(x) ( \ + sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \ + sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+((__uint64_t)1<<52)) & (__uint64_t)-1>>1) >= (__uint64_t)1<<53 : \ + __fpclassifyl(x) == FP_NORMAL) -#define isunordered(x,y) (isnan((x)) ? ((y),1) : isnan((y))) +#define isfinite(x) ( \ + sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \ + sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & (__uint64_t)-1>>1) < (__uint64_t)0x7ff<<52 : \ + __fpclassifyl(x) > FP_INFINITE) + +int __signbit(double); +int __signbitf(float); +int __signbitl(long double); + +#define signbit(x) ( \ + sizeof(x) == sizeof(float) ? !!(__FLOAT_BITS(x) & 0x80000000) : \ + sizeof(x) == sizeof(double) ? !!(__DOUBLE_BITS(x) & (__uint64_t)1<<63) : \ + __signbitl(x) ) + +#define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y))) -static #if __STDC_VERSION__ >= 199901L inline #endif -int __isrel(long double __x, long double __y, int __rel) +static int __isrel(long double __x, long double __y, int __rel) { if (isunordered(__x, __y)) return 0; if (__rel==-2) return __x < __y; @@ -316,17 +342,46 @@ long double truncl(long double); #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ + +extern int signgam; + +double gamma(double); +float gammaf(float); +long double gammal(long double); + +double lgamma_r(double, int*); +float lgammaf_r(float, int*); +long double lgammal_r(long double, int*); + double j0(double); +float j0f(float); +long double j0l(long double); + double j1(double); +float j1f(float); +long double j1l(long double); + double jn(int, double); +float jnf(int, float); +long double jnl(int, long double); + double y0(double); +float y0f(float); +long double y0l(long double); + double y1(double); +float y1f(float); +long double y1l(long double); + double yn(int, double); -extern int signgam; +float ynf(int, float); +long double ynl(int, long double); #endif #ifdef _GNU_SOURCE double scalb(double, double); +float scalbf(float, float); +long double scalbl(long double, long double); #endif #ifdef __cplusplus -- cgit v1.2.1