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annotate libquadmath/math/fmodq.c @ 158:494b0b89df80 default tip

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author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Mon, 25 May 2020 18:13:55 +0900
parents 1830386684a0
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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1 /* e_fmodl.c -- long double version of e_fmod.c.
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2 * Conversion to IEEE quad long double by Jakub Jelinek, jj@ultra.linux.cz.
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3 */
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4 /*
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5 * ====================================================
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6 * Copyright (C) 1993, 2011 by Sun Microsystems, Inc. All rights reserved.
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7 *
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8 * Developed at SunPro, a Sun Microsystems, Inc. business.
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9 * Permission to use, copy, modify, and distribute this
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10 * software is freely granted, provided that this notice
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11 * is preserved.
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12 * ====================================================
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13 */
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14
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15 /*
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16 * fmodq(x,y)
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17 * Return x mod y in exact arithmetic
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18 * Method: shift and subtract
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19 */
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20
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21 #include "quadmath-imp.h"
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22
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23 static const __float128 one = 1.0, Zero[] = {0.0, -0.0,};
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24
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25 __float128
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26 fmodq (__float128 x, __float128 y)
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27 {
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28 int64_t n,hx,hy,hz,ix,iy,sx,i;
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29 uint64_t lx,ly,lz;
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30
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31 GET_FLT128_WORDS64(hx,lx,x);
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32 GET_FLT128_WORDS64(hy,ly,y);
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33 sx = hx&0x8000000000000000ULL; /* sign of x */
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34 hx ^=sx; /* |x| */
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35 hy &= 0x7fffffffffffffffLL; /* |y| */
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36
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37 /* purge off exception values */
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38 if((hy|ly)==0||(hx>=0x7fff000000000000LL)|| /* y=0,or x not finite */
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39 ((hy|((ly|-ly)>>63))>0x7fff000000000000LL)) /* or y is NaN */
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40 return (x*y)/(x*y);
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41 if(hx<=hy) {
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42 if((hx<hy)||(lx<ly)) return x; /* |x|<|y| return x */
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43 if(lx==ly)
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44 return Zero[(uint64_t)sx>>63]; /* |x|=|y| return x*0*/
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45 }
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46
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47 /* determine ix = ilogb(x) */
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48 if(hx<0x0001000000000000LL) { /* subnormal x */
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49 if(hx==0) {
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50 for (ix = -16431, i=lx; i>0; i<<=1) ix -=1;
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51 } else {
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52 for (ix = -16382, i=hx<<15; i>0; i<<=1) ix -=1;
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53 }
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54 } else ix = (hx>>48)-0x3fff;
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55
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56 /* determine iy = ilogb(y) */
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57 if(hy<0x0001000000000000LL) { /* subnormal y */
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58 if(hy==0) {
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59 for (iy = -16431, i=ly; i>0; i<<=1) iy -=1;
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60 } else {
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61 for (iy = -16382, i=hy<<15; i>0; i<<=1) iy -=1;
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62 }
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63 } else iy = (hy>>48)-0x3fff;
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64
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65 /* set up {hx,lx}, {hy,ly} and align y to x */
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66 if(ix >= -16382)
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67 hx = 0x0001000000000000LL|(0x0000ffffffffffffLL&hx);
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68 else { /* subnormal x, shift x to normal */
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69 n = -16382-ix;
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70 if(n<=63) {
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71 hx = (hx<<n)|(lx>>(64-n));
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72 lx <<= n;
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73 } else {
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74 hx = lx<<(n-64);
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75 lx = 0;
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76 }
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77 }
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78 if(iy >= -16382)
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79 hy = 0x0001000000000000LL|(0x0000ffffffffffffLL&hy);
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80 else { /* subnormal y, shift y to normal */
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81 n = -16382-iy;
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82 if(n<=63) {
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83 hy = (hy<<n)|(ly>>(64-n));
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84 ly <<= n;
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85 } else {
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86 hy = ly<<(n-64);
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87 ly = 0;
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88 }
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89 }
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91 /* fix point fmod */
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92 n = ix - iy;
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93 while(n--) {
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94 hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
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95 if(hz<0){hx = hx+hx+(lx>>63); lx = lx+lx;}
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96 else {
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97 if((hz|lz)==0) /* return sign(x)*0 */
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98 return Zero[(uint64_t)sx>>63];
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99 hx = hz+hz+(lz>>63); lx = lz+lz;
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100 }
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101 }
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102 hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
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103 if(hz>=0) {hx=hz;lx=lz;}
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104
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105 /* convert back to floating value and restore the sign */
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106 if((hx|lx)==0) /* return sign(x)*0 */
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107 return Zero[(uint64_t)sx>>63];
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108 while(hx<0x0001000000000000LL) { /* normalize x */
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109 hx = hx+hx+(lx>>63); lx = lx+lx;
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110 iy -= 1;
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111 }
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112 if(iy>= -16382) { /* normalize output */
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113 hx = ((hx-0x0001000000000000LL)|((iy+16383)<<48));
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114 SET_FLT128_WORDS64(x,hx|sx,lx);
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115 } else { /* subnormal output */
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116 n = -16382 - iy;
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117 if(n<=48) {
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118 lx = (lx>>n)|((uint64_t)hx<<(64-n));
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119 hx >>= n;
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120 } else if (n<=63) {
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121 lx = (hx<<(64-n))|(lx>>n); hx = sx;
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122 } else {
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123 lx = hx>>(n-64); hx = sx;
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124 }
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125 SET_FLT128_WORDS64(x,hx|sx,lx);
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126 x *= one; /* create necessary signal */
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127 }
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128 return x; /* exact output */
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129 }