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| 1 | + |
| 2 | +/* @(#)e_fmod.c 1.3 95/01/18 */ |
| 3 | +/* |
| 4 | + * ==================================================== |
| 5 | + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 6 | + * |
| 7 | + * Developed at SunSoft, a Sun Microsystems, Inc. business. |
| 8 | + * Permission to use, copy, modify, and distribute this |
| 9 | + * software is freely granted, provided that this notice |
| 10 | + * is preserved. |
| 11 | + * ==================================================== |
| 12 | + */ |
| 13 | + |
| 14 | +/* |
| 15 | + * __ieee754_fmod(x,y) |
| 16 | + * Return x mod y in exact arithmetic |
| 17 | + * Method: shift and subtract |
| 18 | + */ |
| 19 | + |
| 20 | +#include "fdlibm.h" |
| 21 | + |
| 22 | +#ifdef __STDC__ |
| 23 | +static const double one = 1.0, Zero[] = {0.0, -0.0,}; |
| 24 | +#else |
| 25 | +static double one = 1.0, Zero[] = {0.0, -0.0,}; |
| 26 | +#endif |
| 27 | + |
| 28 | +#ifdef __STDC__ |
| 29 | + double __ieee754_fmod(double x, double y) |
| 30 | +#else |
| 31 | + double __ieee754_fmod(x,y) |
| 32 | + double x,y ; |
| 33 | +#endif |
| 34 | +{ |
| 35 | + int n,hx,hy,hz,ix,iy,sx,i; |
| 36 | + unsigned lx,ly,lz; |
| 37 | + |
| 38 | + hx = __HI(x); /* high word of x */ |
| 39 | + lx = __LO(x); /* low word of x */ |
| 40 | + hy = __HI(y); /* high word of y */ |
| 41 | + ly = __LO(y); /* low word of y */ |
| 42 | + sx = hx&0x80000000; /* sign of x */ |
| 43 | + hx ^=sx; /* |x| */ |
| 44 | + hy &= 0x7fffffff; /* |y| */ |
| 45 | + |
| 46 | + /* purge off exception values */ |
| 47 | + if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */ |
| 48 | + ((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */ |
| 49 | + return (x*y)/(x*y); |
| 50 | + if(hx<=hy) { |
| 51 | + if((hx<hy)||(lx<ly)) return x; /* |x|<|y| return x */ |
| 52 | + if(lx==ly) |
| 53 | + return Zero[(unsigned)sx>>31]; /* |x|=|y| return x*0*/ |
| 54 | + } |
| 55 | + |
| 56 | + /* determine ix = ilogb(x) */ |
| 57 | + if(hx<0x00100000) { /* subnormal x */ |
| 58 | + if(hx==0) { |
| 59 | + for (ix = -1043, i=lx; i>0; i<<=1) ix -=1; |
| 60 | + } else { |
| 61 | + for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1; |
| 62 | + } |
| 63 | + } else ix = (hx>>20)-1023; |
| 64 | + |
| 65 | + /* determine iy = ilogb(y) */ |
| 66 | + if(hy<0x00100000) { /* subnormal y */ |
| 67 | + if(hy==0) { |
| 68 | + for (iy = -1043, i=ly; i>0; i<<=1) iy -=1; |
| 69 | + } else { |
| 70 | + for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1; |
| 71 | + } |
| 72 | + } else iy = (hy>>20)-1023; |
| 73 | + |
| 74 | + /* set up {hx,lx}, {hy,ly} and align y to x */ |
| 75 | + if(ix >= -1022) |
| 76 | + hx = 0x00100000|(0x000fffff&hx); |
| 77 | + else { /* subnormal x, shift x to normal */ |
| 78 | + n = -1022-ix; |
| 79 | + if(n<=31) { |
| 80 | + hx = (hx<<n)|(lx>>(32-n)); |
| 81 | + lx <<= n; |
| 82 | + } else { |
| 83 | + hx = lx<<(n-32); |
| 84 | + lx = 0; |
| 85 | + } |
| 86 | + } |
| 87 | + if(iy >= -1022) |
| 88 | + hy = 0x00100000|(0x000fffff&hy); |
| 89 | + else { /* subnormal y, shift y to normal */ |
| 90 | + n = -1022-iy; |
| 91 | + if(n<=31) { |
| 92 | + hy = (hy<<n)|(ly>>(32-n)); |
| 93 | + ly <<= n; |
| 94 | + } else { |
| 95 | + hy = ly<<(n-32); |
| 96 | + ly = 0; |
| 97 | + } |
| 98 | + } |
| 99 | + |
| 100 | + /* fix point fmod */ |
| 101 | + n = ix - iy; |
| 102 | + while(n--) { |
| 103 | + hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1; |
| 104 | + if(hz<0){hx = hx+hx+(lx>>31); lx = lx+lx;} |
| 105 | + else { |
| 106 | + if((hz|lz)==0) /* return sign(x)*0 */ |
| 107 | + return Zero[(unsigned)sx>>31]; |
| 108 | + hx = hz+hz+(lz>>31); lx = lz+lz; |
| 109 | + } |
| 110 | + } |
| 111 | + hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1; |
| 112 | + if(hz>=0) {hx=hz;lx=lz;} |
| 113 | + |
| 114 | + /* convert back to floating value and restore the sign */ |
| 115 | + if((hx|lx)==0) /* return sign(x)*0 */ |
| 116 | + return Zero[(unsigned)sx>>31]; |
| 117 | + while(hx<0x00100000) { /* normalize x */ |
| 118 | + hx = hx+hx+(lx>>31); lx = lx+lx; |
| 119 | + iy -= 1; |
| 120 | + } |
| 121 | + if(iy>= -1022) { /* normalize output */ |
| 122 | + hx = ((hx-0x00100000)|((iy+1023)<<20)); |
| 123 | + __HI(x) = hx|sx; |
| 124 | + __LO(x) = lx; |
| 125 | + } else { /* subnormal output */ |
| 126 | + n = -1022 - iy; |
| 127 | + if(n<=20) { |
| 128 | + lx = (lx>>n)|((unsigned)hx<<(32-n)); |
| 129 | + hx >>= n; |
| 130 | + } else if (n<=31) { |
| 131 | + lx = (hx<<(32-n))|(lx>>n); hx = sx; |
| 132 | + } else { |
| 133 | + lx = hx>>(n-32); hx = sx; |
| 134 | + } |
| 135 | + __HI(x) = hx|sx; |
| 136 | + __LO(x) = lx; |
| 137 | + x *= one; /* create necessary signal */ |
| 138 | + } |
| 139 | + return x; /* exact output */ |
| 140 | +} |
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