1 | /* origin: FreeBSD /usr/src/lib/msun/src/s_sinf.c */
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2 | /*
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3 | * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
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4 | * Optimized by Bruce D. Evans.
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5 | */
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6 | /*
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7 | * ====================================================
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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 | #define _GNU_SOURCE
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18 | #include "libm.h"
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19 |
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20 | /* Small multiples of pi/2 rounded to double precision. */
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21 | static const double
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22 | s1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */
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23 | s2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */
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24 | s3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */
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25 | s4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */
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26 |
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27 | void sincosf(float x, float *sin, float *cos)
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28 | {
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29 | double y;
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30 | float_t s, c;
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31 | uint32_t ix;
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32 | unsigned n, sign;
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33 |
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34 | GET_FLOAT_WORD(ix, x);
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35 | sign = ix >> 31;
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36 | ix &= 0x7fffffff;
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37 |
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38 | /* |x| ~<= pi/4 */
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39 | if (ix <= 0x3f490fda) {
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40 | /* |x| < 2**-12 */
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41 | if (ix < 0x39800000) {
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42 | /* raise inexact if x!=0 and underflow if subnormal */
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43 | FORCE_EVAL(ix < 0x00100000 ? x/0x1p120f : x+0x1p120f);
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44 | *sin = x;
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45 | *cos = 1.0f;
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46 | return;
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47 | }
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48 | *sin = __sindf(x);
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49 | *cos = __cosdf(x);
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50 | return;
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51 | }
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52 |
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53 | /* |x| ~<= 5*pi/4 */
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54 | if (ix <= 0x407b53d1) {
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55 | if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */
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56 | if (sign) {
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57 | *sin = -__cosdf(x + s1pio2);
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58 | *cos = __sindf(x + s1pio2);
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59 | } else {
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60 | *sin = __cosdf(s1pio2 - x);
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61 | *cos = __sindf(s1pio2 - x);
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62 | }
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63 | return;
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64 | }
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65 | /* -sin(x+c) is not correct if x+c could be 0: -0 vs +0 */
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66 | *sin = -__sindf(sign ? x + s2pio2 : x - s2pio2);
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67 | *cos = -__cosdf(sign ? x + s2pio2 : x - s2pio2);
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68 | return;
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69 | }
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70 |
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71 | /* |x| ~<= 9*pi/4 */
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72 | if (ix <= 0x40e231d5) {
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73 | if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */
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74 | if (sign) {
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75 | *sin = __cosdf(x + s3pio2);
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76 | *cos = -__sindf(x + s3pio2);
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77 | } else {
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78 | *sin = -__cosdf(x - s3pio2);
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79 | *cos = __sindf(x - s3pio2);
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80 | }
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81 | return;
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82 | }
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83 | *sin = __sindf(sign ? x + s4pio2 : x - s4pio2);
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84 | *cos = __cosdf(sign ? x + s4pio2 : x - s4pio2);
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85 | return;
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86 | }
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87 |
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88 | /* sin(Inf or NaN) is NaN */
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89 | if (ix >= 0x7f800000) {
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90 | *sin = *cos = x - x;
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91 | return;
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92 | }
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93 |
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94 | /* general argument reduction needed */
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95 | n = __rem_pio2f(x, &y);
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96 | s = __sindf(y);
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97 | c = __cosdf(y);
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98 | switch (n&3) {
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99 | case 0:
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100 | *sin = s;
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101 | *cos = c;
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102 | break;
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103 | case 1:
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104 | *sin = c;
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105 | *cos = -s;
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106 | break;
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107 | case 2:
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108 | *sin = -s;
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109 | *cos = -c;
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110 | break;
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111 | case 3:
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112 | default:
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113 | *sin = -c;
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114 | *cos = s;
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115 | break;
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116 | }
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117 | }
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