a0ee07829a
This brings us up to date with FreeBSD HEAD, fixes various bugs, unifies the set of functions we support on ARM, MIPS, and x86, fixes "long double", adds ISO C99 support, and adds basic unit tests. It turns out that our "long double" functions have always been broken for non-normal numbers. This patch fixes that by not using the upstream implementations and just forwarding to the regular "double" implementation instead (since "long double" on Android is just "double" anyway, which is what BSD doesn't support). All the tests pass on ARM, MIPS, and x86, plus glibc on x86-64. Bug: 3169850 Bug: 8012787 Bug: https://code.google.com/p/android/issues/detail?id=6697 Change-Id: If0c343030959c24bfc50d4d21c9530052c581837
133 lines
3.2 KiB
C
133 lines
3.2 KiB
C
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/* @(#)e_fmod.c 1.3 95/01/18 */
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunSoft, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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#include <sys/cdefs.h>
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__FBSDID("$FreeBSD$");
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/*
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* __ieee754_fmod(x,y)
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* Return x mod y in exact arithmetic
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* Method: shift and subtract
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*/
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#include "math.h"
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#include "math_private.h"
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static const double one = 1.0, Zero[] = {0.0, -0.0,};
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double
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__ieee754_fmod(double x, double y)
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{
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int32_t n,hx,hy,hz,ix,iy,sx,i;
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u_int32_t lx,ly,lz;
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EXTRACT_WORDS(hx,lx,x);
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EXTRACT_WORDS(hy,ly,y);
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sx = hx&0x80000000; /* sign of x */
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hx ^=sx; /* |x| */
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hy &= 0x7fffffff; /* |y| */
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/* purge off exception values */
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if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */
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((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */
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return (x*y)/(x*y);
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if(hx<=hy) {
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if((hx<hy)||(lx<ly)) return x; /* |x|<|y| return x */
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if(lx==ly)
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return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/
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}
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/* determine ix = ilogb(x) */
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if(hx<0x00100000) { /* subnormal x */
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if(hx==0) {
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for (ix = -1043, i=lx; i>0; i<<=1) ix -=1;
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} else {
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for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1;
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}
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} else ix = (hx>>20)-1023;
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/* determine iy = ilogb(y) */
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if(hy<0x00100000) { /* subnormal y */
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if(hy==0) {
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for (iy = -1043, i=ly; i>0; i<<=1) iy -=1;
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} else {
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for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1;
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}
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} else iy = (hy>>20)-1023;
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/* set up {hx,lx}, {hy,ly} and align y to x */
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if(ix >= -1022)
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hx = 0x00100000|(0x000fffff&hx);
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else { /* subnormal x, shift x to normal */
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n = -1022-ix;
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if(n<=31) {
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hx = (hx<<n)|(lx>>(32-n));
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lx <<= n;
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} else {
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hx = lx<<(n-32);
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lx = 0;
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}
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}
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if(iy >= -1022)
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hy = 0x00100000|(0x000fffff&hy);
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else { /* subnormal y, shift y to normal */
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n = -1022-iy;
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if(n<=31) {
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hy = (hy<<n)|(ly>>(32-n));
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ly <<= n;
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} else {
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hy = ly<<(n-32);
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ly = 0;
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}
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}
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/* fix point fmod */
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n = ix - iy;
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while(n--) {
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hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
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if(hz<0){hx = hx+hx+(lx>>31); lx = lx+lx;}
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else {
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if((hz|lz)==0) /* return sign(x)*0 */
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return Zero[(u_int32_t)sx>>31];
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hx = hz+hz+(lz>>31); lx = lz+lz;
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}
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}
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hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
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if(hz>=0) {hx=hz;lx=lz;}
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/* convert back to floating value and restore the sign */
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if((hx|lx)==0) /* return sign(x)*0 */
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return Zero[(u_int32_t)sx>>31];
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while(hx<0x00100000) { /* normalize x */
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hx = hx+hx+(lx>>31); lx = lx+lx;
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iy -= 1;
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}
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if(iy>= -1022) { /* normalize output */
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hx = ((hx-0x00100000)|((iy+1023)<<20));
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INSERT_WORDS(x,hx|sx,lx);
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} else { /* subnormal output */
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n = -1022 - iy;
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if(n<=20) {
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lx = (lx>>n)|((u_int32_t)hx<<(32-n));
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hx >>= n;
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} else if (n<=31) {
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lx = (hx<<(32-n))|(lx>>n); hx = sx;
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} else {
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lx = hx>>(n-32); hx = sx;
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}
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INSERT_WORDS(x,hx|sx,lx);
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x *= one; /* create necessary signal */
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}
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return x; /* exact output */
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}
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