1 | /*
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2 | * ====================================================
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3 | * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
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4 | *
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5 | * Permission to use, copy, modify, and distribute this
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6 | * software is freely granted, provided that this notice
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7 | * is preserved.
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8 | * ====================================================
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9 | */
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10 |
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11 | /** @addtogroup libmath
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12 | * @{
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13 | */
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14 | /** @file scalbn mathematical function
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15 | */
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16 |
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17 | #include <math.h>
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18 | #include <stdint.h>
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19 |
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20 | #include "internal.h"
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21 |
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22 | /*
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23 | * scalbn (double x, int n)
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24 | * scalbn(x,n) returns x* 2**n computed by exponent
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25 | * manipulation rather than by actually performing an
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26 | * exponentiation or a multiplication.
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27 | */
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28 |
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29 | static const double
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30 | two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
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31 | twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
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32 | huge = 1.0e+300,
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33 | tiny = 1.0e-300;
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34 |
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35 | double
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36 | scalbn (double x, int n)
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37 | {
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38 | int32_t k,hx,lx;
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39 | EXTRACT_WORDS(hx,lx,x);
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40 | k = (hx&0x7ff00000)>>20; /* extract exponent */
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41 | if (k==0) { /* 0 or subnormal x */
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42 | if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
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43 | x *= two54;
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44 | GET_HIGH_WORD(hx,x);
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45 | k = ((hx&0x7ff00000)>>20) - 54;
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46 | if (n< -50000) return tiny*x; /*underflow*/
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47 | }
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48 | if (k==0x7ff) return x+x; /* NaN or Inf */
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49 | k = k+n;
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50 | if (k > 0x7fe) return huge*copysign(huge,x); /* overflow */
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51 | if (k > 0) /* normal result */
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52 | {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
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53 | if (k <= -54) {
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54 | if (n > 50000) /* in case integer overflow in n+k */
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55 | return huge*copysign(huge,x); /*overflow*/
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56 | else
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57 | return tiny*copysign(tiny,x); /*underflow*/
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58 | }
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59 | k += 54; /* subnormal result */
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60 | SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
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61 | return x*twom54;
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62 | }
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63 |
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64 | /** @}
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65 | */
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