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author | Rich Felker <dalias@aerifal.cx> | 2012-03-13 01:17:53 -0400 |
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committer | Rich Felker <dalias@aerifal.cx> | 2012-03-13 01:17:53 -0400 |
commit | b69f695acedd4ce2798ef9ea28d834ceccc789bd (patch) | |
tree | eafd98b9b75160210f3295ac074d699f863d958e /src/math/s_remquo.c | |
parent | d46cf2e14cc4df7cc75e77d7009fcb6df1f48a33 (diff) | |
download | musl-b69f695acedd4ce2798ef9ea28d834ceccc789bd.tar.gz musl-b69f695acedd4ce2798ef9ea28d834ceccc789bd.tar.xz musl-b69f695acedd4ce2798ef9ea28d834ceccc789bd.zip |
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.
Diffstat (limited to 'src/math/s_remquo.c')
-rw-r--r-- | src/math/s_remquo.c | 149 |
1 files changed, 0 insertions, 149 deletions
diff --git a/src/math/s_remquo.c b/src/math/s_remquo.c deleted file mode 100644 index 1a2992d6..00000000 --- a/src/math/s_remquo.c +++ /dev/null @@ -1,149 +0,0 @@ -/* @(#)e_fmod.c 1.3 95/01/18 */ -/*- - * ==================================================== - * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. - * - * Developed at SunSoft, a Sun Microsystems, Inc. business. - * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice - * is preserved. - * ==================================================== - */ - -#include <math.h> -#include "math_private.h" - -static const double Zero[] = {0.0, -0.0,}; - -/* - * Return the IEEE remainder and set *quo to the last n bits of the - * quotient, rounded to the nearest integer. We choose n=31 because - * we wind up computing all the integer bits of the quotient anyway as - * a side-effect of computing the remainder by the shift and subtract - * method. In practice, this is far more bits than are needed to use - * remquo in reduction algorithms. - */ -double -remquo(double x, double y, int *quo) -{ - int32_t n,hx,hy,hz,ix,iy,sx,i; - uint32_t lx,ly,lz,q,sxy; - - EXTRACT_WORDS(hx,lx,x); - EXTRACT_WORDS(hy,ly,y); - sxy = (hx ^ hy) & 0x80000000; - sx = hx&0x80000000; /* sign of x */ - hx ^=sx; /* |x| */ - hy &= 0x7fffffff; /* |y| */ - - /* purge off exception values */ - if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */ - ((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */ - return (x*y)/(x*y); - if(hx<=hy) { - if((hx<hy)||(lx<ly)) { - q = 0; - goto fixup; /* |x|<|y| return x or x-y */ - } - if(lx==ly) { - *quo = 1; - return Zero[(uint32_t)sx>>31]; /* |x|=|y| return x*0*/ - } - } - - /* determine ix = ilogb(x) */ - if(hx<0x00100000) { /* subnormal x */ - if(hx==0) { - for (ix = -1043, i=lx; i>0; i<<=1) ix -=1; - } else { - for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1; - } - } else ix = (hx>>20)-1023; - - /* determine iy = ilogb(y) */ - if(hy<0x00100000) { /* subnormal y */ - if(hy==0) { - for (iy = -1043, i=ly; i>0; i<<=1) iy -=1; - } else { - for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1; - } - } else iy = (hy>>20)-1023; - - /* set up {hx,lx}, {hy,ly} and align y to x */ - if(ix >= -1022) - hx = 0x00100000|(0x000fffff&hx); - else { /* subnormal x, shift x to normal */ - n = -1022-ix; - if(n<=31) { - hx = (hx<<n)|(lx>>(32-n)); - lx <<= n; - } else { - hx = lx<<(n-32); - lx = 0; - } - } - if(iy >= -1022) - hy = 0x00100000|(0x000fffff&hy); - else { /* subnormal y, shift y to normal */ - n = -1022-iy; - if(n<=31) { - hy = (hy<<n)|(ly>>(32-n)); - ly <<= n; - } else { - hy = ly<<(n-32); - ly = 0; - } - } - - /* fix point fmod */ - n = ix - iy; - q = 0; - while(n--) { - hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1; - if(hz<0){hx = hx+hx+(lx>>31); lx = lx+lx;} - else {hx = hz+hz+(lz>>31); lx = lz+lz; q++;} - q <<= 1; - } - hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1; - if(hz>=0) {hx=hz;lx=lz;q++;} - - /* convert back to floating value and restore the sign */ - if((hx|lx)==0) { /* return sign(x)*0 */ - *quo = (sxy ? -q : q); - return Zero[(uint32_t)sx>>31]; - } - while(hx<0x00100000) { /* normalize x */ - hx = hx+hx+(lx>>31); lx = lx+lx; - iy -= 1; - } - if(iy>= -1022) { /* normalize output */ - hx = ((hx-0x00100000)|((iy+1023)<<20)); - } else { /* subnormal output */ - n = -1022 - iy; - if(n<=20) { - lx = (lx>>n)|((uint32_t)hx<<(32-n)); - hx >>= n; - } else if (n<=31) { - lx = (hx<<(32-n))|(lx>>n); hx = sx; - } else { - lx = hx>>(n-32); hx = sx; - } - } -fixup: - INSERT_WORDS(x,hx,lx); - y = fabs(y); - if (y < 0x1p-1021) { - if (x+x>y || (x+x==y && (q & 1))) { - q++; - x-=y; - } - } else if (x>0.5*y || (x==0.5*y && (q & 1))) { - q++; - x-=y; - } - GET_HIGH_WORD(hx,x); - SET_HIGH_WORD(x,hx^sx); - q &= 0x7fffffff; - *quo = (sxy ? -q : q); - return x; -} |