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2 | pj | 1 | /* @(#)e_remainder.c 5.1 93/09/24 */ |
2 | /* |
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3 | * ==================================================== |
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4 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
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5 | * |
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6 | * Developed at SunPro, a Sun Microsystems, Inc. business. |
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7 | * Permission to use, copy, modify, and distribute this |
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8 | * software is freely granted, provided that this notice |
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9 | * is preserved. |
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10 | * ==================================================== |
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11 | */ |
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12 | |||
13 | #ifndef lint |
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14 | static char rcsid[] = "$\Id: e_remainder.c,v 1.2.6.1 1997/02/23 11:03:07 joerg Exp $"; |
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15 | #endif |
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16 | |||
17 | /* __ieee754_remainder(x,p) |
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18 | * Return : |
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19 | * returns x REM p = x - [x/p]*p as if in infinite |
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20 | * precise arithmetic, where [x/p] is the (infinite bit) |
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21 | * integer nearest x/p (in half way case choose the even one). |
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22 | * Method : |
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23 | * Based on fmod() return x-[x/p]chopped*p exactlp. |
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24 | */ |
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25 | |||
26 | #include "math.h" |
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27 | #include "math_private.h" |
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28 | |||
29 | #ifdef __STDC__ |
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30 | static const double zero = 0.0; |
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31 | #else |
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32 | static double zero = 0.0; |
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33 | #endif |
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34 | |||
35 | |||
36 | #ifdef __STDC__ |
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37 | double __generic___ieee754_remainder(double x, double p) |
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38 | #else |
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39 | double __generic___ieee754_remainder(x,p) |
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40 | double x,p; |
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41 | #endif |
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42 | { |
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43 | int32_t hx,hp; |
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44 | u_int32_t sx,lx,lp; |
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45 | double p_half; |
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46 | |||
47 | EXTRACT_WORDS(hx,lx,x); |
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48 | EXTRACT_WORDS(hp,lp,p); |
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49 | sx = hx&0x80000000; |
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50 | hp &= 0x7fffffff; |
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51 | hx &= 0x7fffffff; |
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52 | |||
53 | /* purge off exception values */ |
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54 | if((hp|lp)==0) return (x*p)/(x*p); /* p = 0 */ |
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55 | if((hx>=0x7ff00000)|| /* x not finite */ |
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56 | ((hp>=0x7ff00000)&& /* p is NaN */ |
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57 | (((hp-0x7ff00000)|lp)!=0))) |
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58 | return (x*p)/(x*p); |
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59 | |||
60 | |||
61 | if (hp<=0x7fdfffff) x = __ieee754_fmod(x,p+p); /* now x < 2p */ |
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62 | if (((hx-hp)|(lx-lp))==0) return zero*x; |
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63 | x = fabs(x); |
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64 | p = fabs(p); |
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65 | if (hp<0x00200000) { |
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66 | if(x+x>p) { |
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67 | x-=p; |
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68 | if(x+x>=p) x -= p; |
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69 | } |
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70 | } else { |
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71 | p_half = 0.5*p; |
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72 | if(x>p_half) { |
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73 | x-=p; |
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74 | if(x>=p_half) x -= p; |
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75 | } |
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76 | } |
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77 | GET_HIGH_WORD(hx,x); |
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78 | SET_HIGH_WORD(x,hx^sx); |
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79 | return x; |
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80 | } |