Last change
on this file since 403 was 337, checked in by coas-nagasima, 6 years ago |
ASP3版ECNLを追加
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Property svn:eol-style
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native
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Property svn:mime-type
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text/x-csrc;charset=UTF-8
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File size:
764 bytes
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1 | #include "libm.h"
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2 |
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3 | /* cosh(x) = (exp(x) + 1/exp(x))/2
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4 | * = 1 + 0.5*(exp(x)-1)*(exp(x)-1)/exp(x)
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5 | * = 1 + x*x/2 + o(x^4)
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6 | */
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7 | double cosh(double x)
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8 | {
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9 | union {double f; uint64_t i;} u = {.f = x};
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10 | uint32_t w;
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11 | double t;
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12 |
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13 | /* |x| */
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14 | u.i &= (uint64_t)-1/2;
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15 | x = u.f;
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16 | w = u.i >> 32;
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17 |
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18 | /* |x| < log(2) */
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19 | if (w < 0x3fe62e42) {
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20 | if (w < 0x3ff00000 - (26<<20)) {
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21 | /* raise inexact if x!=0 */
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22 | FORCE_EVAL(x + 0x1p120f);
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23 | return 1;
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24 | }
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25 | t = expm1(x);
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26 | return 1 + t*t/(2*(1+t));
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27 | }
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28 |
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29 | /* |x| < log(DBL_MAX) */
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30 | if (w < 0x40862e42) {
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31 | t = exp(x);
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32 | /* note: if x>log(0x1p26) then the 1/t is not needed */
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33 | return 0.5*(t + 1/t);
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34 | }
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35 |
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36 | /* |x| > log(DBL_MAX) or nan */
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37 | /* note: the result is stored to handle overflow */
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38 | t = __expo2(x);
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39 | return t;
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40 | }
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