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Diffstat (limited to 'newlib/libm/mathfp/s_fmod.c')
| -rw-r--r-- | newlib/libm/mathfp/s_fmod.c | 187 |
1 files changed, 187 insertions, 0 deletions
diff --git a/newlib/libm/mathfp/s_fmod.c b/newlib/libm/mathfp/s_fmod.c new file mode 100644 index 00000000000..3af7300dab0 --- /dev/null +++ b/newlib/libm/mathfp/s_fmod.c @@ -0,0 +1,187 @@ + +/* @(#)z_fmod.c 1.0 98/08/13 */ +/* + * ==================================================== + * 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. + * ==================================================== + */ + +/* +FUNCTION +<<fmod>>, <<fmodf>>---floating-point remainder (modulo) + +INDEX +fmod +INDEX +fmodf + +ANSI_SYNOPSIS +#include <math.h> +double fmod(double <[x]>, double <[y]>) +float fmodf(float <[x]>, float <[y]>) + +TRAD_SYNOPSIS +#include <math.h> +double fmod(<[x]>, <[y]>) +double (<[x]>, <[y]>); + +float fmodf(<[x]>, <[y]>) +float (<[x]>, <[y]>); + +DESCRIPTION +The <<fmod>> and <<fmodf>> functions compute the floating-point +remainder of <[x]>/<[y]> (<[x]> modulo <[y]>). + +RETURNS +The <<fmod>> function returns the value +@ifinfo +<[x]>-<[i]>*<[y]>, +@end ifinfo +@tex +$x-i\times y$, +@end tex +for the largest integer <[i]> such that, if <[y]> is nonzero, the +result has the same sign as <[x]> and magnitude less than the +magnitude of <[y]>. + +<<fmod(<[x]>,0)>> returns NaN, and sets <<errno>> to <<EDOM>>. + +You can modify error treatment for these functions using <<matherr>>. + +PORTABILITY +<<fmod>> is ANSI C. <<fmodf>> is an extension. +*/ + +/* + * fmod(x,y) + * Return x mod y in exact arithmetic + * Method: shift and subtract + */ + +#include "fdlibm.h" +#include "zmath.h" + +#ifndef _DOUBLE_IS_32BITS + +#ifdef __STDC__ +static const double one = 1.0, Zero[] = {0.0, -0.0,}; +#else +static double one = 1.0, Zero[] = {0.0, -0.0,}; +#endif + +#ifdef __STDC__ + double fmod(double x, double y) +#else + double fmod(x,y) + double x,y ; +#endif +{ + __int32_t n,hx,hy,hz,ix,iy,sx,i; + __uint32_t lx,ly,lz; + + EXTRACT_WORDS(hx,lx,x); + EXTRACT_WORDS(hy,ly,y); + 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)) return x; /* |x|<|y| return x */ + if(lx==ly) + 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; + 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 { + if((hz|lz)==0) /* return sign(x)*0 */ + return Zero[(__uint32_t)sx>>31]; + hx = hz+hz+(lz>>31); lx = lz+lz; + } + } + hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1; + if(hz>=0) {hx=hz;lx=lz;} + + /* convert back to floating value and restore the sign */ + if((hx|lx)==0) /* return sign(x)*0 */ + 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)); + INSERT_WORDS(x,hx|sx,lx); + } 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; + } + INSERT_WORDS(x,hx|sx,lx); + x *= one; /* create necessary signal */ + } + return x; /* exact output */ +} + +#endif /* defined(_DOUBLE_IS_32BITS) */ |