1 | |
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2 | /* @(#)s_scalbn.c 5.1 93/09/24 */ |
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3 | /* |
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4 | * ==================================================== |
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5 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
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6 | * |
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7 | * Developed at SunPro, a Sun Microsystems, Inc. business. |
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8 | * Permission to use, copy, modify, and distribute this |
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9 | * software is freely granted, provided that this notice |
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10 | * is preserved. |
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11 | * ==================================================== |
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12 | */ |
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13 | |
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14 | /* |
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15 | * scalbn (double x, int n) |
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16 | * scalbn(x,n) returns x* 2**n computed by exponent |
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17 | * manipulation rather than by actually performing an |
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18 | * exponentiation or a multiplication. |
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19 | */ |
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20 | |
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21 | #include <libm/fdlibm.h> |
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22 | |
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23 | #ifdef __STDC__ |
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24 | static const double |
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25 | #else |
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26 | static double |
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27 | #endif |
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28 | two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ |
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29 | twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */ |
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30 | huge = 1.0e+300, |
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31 | tiny = 1.0e-300; |
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32 | |
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33 | #ifdef __STDC__ |
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34 | double scalbn (double x, int n) |
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35 | #else |
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36 | double scalbn (x,n) |
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37 | double x; int n; |
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38 | #endif |
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39 | { |
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40 | int k,n0,hx,lx; |
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41 | n0 = ((*(int*)&two54)>>30)^1; /* high word index */ |
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42 | hx = *(n0+(int*)&x); |
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43 | lx = *(1-n0+(int*)&x); |
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44 | k = (hx&0x7ff00000)>>20; /* extract exponent */ |
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45 | if (k==0) { /* 0 or subnormal x */ |
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46 | if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */ |
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47 | x *= two54; |
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48 | hx = *(n0+(int*)&x); |
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49 | k = ((hx&0x7ff00000)>>20) - 54; |
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50 | if (n< -50000) return tiny*x; /*underflow*/ |
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51 | } |
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52 | if (k==0x7ff) return x+x; /* NaN or Inf */ |
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53 | k = k+n; |
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54 | if (k > 0x7fe) return huge*copysign(huge,x); /* overflow */ |
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55 | if (k > 0) /* normal result */ |
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56 | {*(n0+(int*)&x) = (hx&0x800fffff)|(k<<20); return x;} |
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57 | if (k <= -54) |
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58 | { |
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59 | if (n > 50000) /* in case integer overflow in n+k */ |
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60 | return huge*copysign(huge,x); /*overflow*/ |
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61 | else return tiny*copysign(tiny,x); /*underflow*/ |
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62 | } |
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63 | k += 54; /* subnormal result */ |
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64 | *(n0+(int*)&x) = (hx&0x800fffff)|(k<<20); |
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65 | return x*twom54; |
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66 | } |
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