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annotate libquadmath/math/asinhq.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 /* s_asinhl.c -- long double version of s_asinh.c.
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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2 * Conversion to long double by Ulrich Drepper,
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3 * Cygnus Support, drepper@cygnus.com.
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4 */
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5
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6 /*
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7 * ====================================================
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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9 *
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10 * Developed at SunPro, a Sun Microsystems, Inc. business.
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11 * Permission to use, copy, modify, and distribute this
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12 * software is freely granted, provided that this notice
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13 * is preserved.
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14 * ====================================================
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15 */
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16
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17 #if defined(LIBM_SCCS) && !defined(lint)
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18 static char rcsid[] = "$NetBSD: $";
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19 #endif
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20
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21 /* asinhq(x)
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22 * Method :
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23 * Based on
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24 * asinhq(x) = signl(x) * logq [ |x| + sqrtq(x*x+1) ]
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25 * we have
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26 * asinhq(x) := x if 1+x*x=1,
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27 * := signl(x)*(logq(x)+ln2)) for large |x|, else
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28 * := signl(x)*logq(2|x|+1/(|x|+sqrtq(x*x+1))) if|x|>2, else
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29 * := signl(x)*log1pq(|x| + x^2/(1 + sqrtq(1+x^2)))
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30 */
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31
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32 #include "quadmath-imp.h"
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33
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34 static const __float128
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35 one = 1,
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36 ln2 = 6.931471805599453094172321214581765681e-1Q,
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37 huge = 1.0e+4900Q;
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38
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39 __float128
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40 asinhq (__float128 x)
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41 {
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42 __float128 t, w;
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43 int32_t ix, sign;
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44 ieee854_float128 u;
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45
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46 u.value = x;
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47 sign = u.words32.w0;
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48 ix = sign & 0x7fffffff;
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49 if (ix == 0x7fff0000)
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50 return x + x; /* x is inf or NaN */
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51 if (ix < 0x3fc70000)
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52 { /* |x| < 2^ -56 */
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53 math_check_force_underflow (x);
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54 if (huge + x > one)
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55 return x; /* return x inexact except 0 */
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56 }
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57 u.words32.w0 = ix;
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58 if (ix > 0x40350000)
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59 { /* |x| > 2 ^ 54 */
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60 w = logq (u.value) + ln2;
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61 }
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62 else if (ix >0x40000000)
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63 { /* 2^ 54 > |x| > 2.0 */
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64 t = u.value;
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65 w = logq (2.0 * t + one / (sqrtq (x * x + one) + t));
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66 }
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67 else
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68 { /* 2.0 > |x| > 2 ^ -56 */
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69 t = x * x;
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70 w = log1pq (u.value + t / (one + sqrtq (one + t)));
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71 }
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72 if (sign & 0x80000000)
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73 return -w;
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74 else
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75 return w;
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76 }