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annotate libquadmath/math/cosq.c @ 145:1830386684a0

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gcc-9.2.0
author anatofuz
date Thu, 13 Feb 2020 11:34:05 +0900
parents 04ced10e8804
children
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145
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1 /* s_cosl.c -- long double version of s_cos.c.
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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2 * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
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3 */
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4
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5 /*
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6 * ====================================================
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Nobuyasu Oshiro <dimolto@cr.ie.u-ryukyu.ac.jp>
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7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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8 *
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9 * Developed at SunPro, a Sun Microsystems, Inc. business.
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10 * Permission to use, copy, modify, and distribute this
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11 * software is freely granted, provided that this notice
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12 * is preserved.
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13 * ====================================================
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14 */
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15
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16 /* cosq(x)
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17 * Return cosine function of x.
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18 *
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19 * kernel function:
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20 * __quadmath_kernel_sinq ... sine function on [-pi/4,pi/4]
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21 * __quadmath_kernel_cosq ... cosine function on [-pi/4,pi/4]
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22 * __quadmath_rem_pio2q ... argument reduction routine
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23 *
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24 * Method.
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25 * Let S,C and T denote the sin, cos and tan respectively on
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26 * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
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27 * in [-pi/4 , +pi/4], and let n = k mod 4.
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28 * We have
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29 *
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30 * n sin(x) cos(x) tan(x)
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31 * ----------------------------------------------------------
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32 * 0 S C T
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33 * 1 C -S -1/T
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34 * 2 -S -C T
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35 * 3 -C S -1/T
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36 * ----------------------------------------------------------
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37 *
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38 * Special cases:
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39 * Let trig be any of sin, cos, or tan.
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40 * trig(+-INF) is NaN, with signals;
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41 * trig(NaN) is that NaN;
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42 *
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43 * Accuracy:
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44 * TRIG(x) returns trig(x) nearly rounded
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45 */
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46
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47 #include "quadmath-imp.h"
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48
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49 __float128 cosq(__float128 x)
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50 {
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51 __float128 y[2],z=0;
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52 int64_t n, ix;
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53
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54 /* High word of x. */
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55 GET_FLT128_MSW64(ix,x);
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56
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57 /* |x| ~< pi/4 */
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58 ix &= 0x7fffffffffffffffLL;
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59 if(ix <= 0x3ffe921fb54442d1LL)
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60 return __quadmath_kernel_cosq(x,z);
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61
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62 /* cos(Inf or NaN) is NaN */
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63 else if (ix>=0x7fff000000000000LL) {
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64 if (ix == 0x7fff000000000000LL) {
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65 GET_FLT128_LSW64(n,x);
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66 if (n == 0)
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67 errno = EDOM;
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68 }
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69 return x-x;
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70 }
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71
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72 /* argument reduction needed */
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73 else {
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74 n = __quadmath_rem_pio2q(x,y);
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75 switch(n&3) {
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76 case 0: return __quadmath_kernel_cosq(y[0],y[1]);
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77 case 1: return -__quadmath_kernel_sinq(y[0],y[1],1);
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78 case 2: return -__quadmath_kernel_cosq(y[0],y[1]);
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79 default:
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80 return __quadmath_kernel_sinq(y[0],y[1],1);
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81 }
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82 }
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83 }