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| 1 /* origin: FreeBSD /usr/src/lib/msun/src/s_sinf.c */ |
| 2 /* |
| 3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| 4 * Optimized by Bruce D. Evans. |
| 5 */ |
| 6 /* |
| 7 * ==================================================== |
| 8 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 9 * |
| 10 * Developed at SunPro, a Sun Microsystems, Inc. business. |
| 11 * Permission to use, copy, modify, and distribute this |
| 12 * software is freely granted, provided that this notice |
| 13 * is preserved. |
| 14 * ==================================================== |
| 15 */ |
| 16 |
| 17 #define _GNU_SOURCE |
| 18 #include "libm.h" |
| 19 |
| 20 /* Small multiples of pi/2 rounded to double precision. */ |
| 21 static const double |
| 22 s1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ |
| 23 s2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ |
| 24 s3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ |
| 25 s4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ |
| 26 |
| 27 void sincosf(float x, float *sin, float *cos) |
| 28 { |
| 29 double y; |
| 30 float_t s, c; |
| 31 uint32_t ix; |
| 32 unsigned n, sign; |
| 33 |
| 34 GET_FLOAT_WORD(ix, x); |
| 35 sign = ix >> 31; |
| 36 ix &= 0x7fffffff; |
| 37 |
| 38 /* |x| ~<= pi/4 */ |
| 39 if (ix <= 0x3f490fda) { |
| 40 /* |x| < 2**-12 */ |
| 41 if (ix < 0x39800000) { |
| 42 /* raise inexact if x!=0 and underflow if subnormal */ |
| 43 FORCE_EVAL(ix < 0x00100000 ? x/0x1p120f : x+0x1p120f); |
| 44 *sin = x; |
| 45 *cos = 1.0f; |
| 46 return; |
| 47 } |
| 48 *sin = __sindf(x); |
| 49 *cos = __cosdf(x); |
| 50 return; |
| 51 } |
| 52 |
| 53 /* |x| ~<= 5*pi/4 */ |
| 54 if (ix <= 0x407b53d1) { |
| 55 if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */ |
| 56 if (sign) { |
| 57 *sin = -__cosdf(x + s1pio2); |
| 58 *cos = __sindf(x + s1pio2); |
| 59 } else { |
| 60 *sin = __cosdf(s1pio2 - x); |
| 61 *cos = __sindf(s1pio2 - x); |
| 62 } |
| 63 return; |
| 64 } |
| 65 /* -sin(x+c) is not correct if x+c could be 0: -0 vs +0 */ |
| 66 *sin = -__sindf(sign ? x + s2pio2 : x - s2pio2); |
| 67 *cos = -__cosdf(sign ? x + s2pio2 : x - s2pio2); |
| 68 return; |
| 69 } |
| 70 |
| 71 /* |x| ~<= 9*pi/4 */ |
| 72 if (ix <= 0x40e231d5) { |
| 73 if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */ |
| 74 if (sign) { |
| 75 *sin = __cosdf(x + s3pio2); |
| 76 *cos = -__sindf(x + s3pio2); |
| 77 } else { |
| 78 *sin = -__cosdf(x - s3pio2); |
| 79 *cos = __sindf(x - s3pio2); |
| 80 } |
| 81 return; |
| 82 } |
| 83 *sin = __sindf(sign ? x + s4pio2 : x - s4pio2); |
| 84 *cos = __cosdf(sign ? x + s4pio2 : x - s4pio2); |
| 85 return; |
| 86 } |
| 87 |
| 88 /* sin(Inf or NaN) is NaN */ |
| 89 if (ix >= 0x7f800000) { |
| 90 *sin = *cos = x - x; |
| 91 return; |
| 92 } |
| 93 |
| 94 /* general argument reduction needed */ |
| 95 n = __rem_pio2f(x, &y); |
| 96 s = __sindf(y); |
| 97 c = __cosdf(y); |
| 98 switch (n&3) { |
| 99 case 0: |
| 100 *sin = s; |
| 101 *cos = c; |
| 102 break; |
| 103 case 1: |
| 104 *sin = c; |
| 105 *cos = -s; |
| 106 break; |
| 107 case 2: |
| 108 *sin = -s; |
| 109 *cos = -c; |
| 110 break; |
| 111 case 3: |
| 112 default: |
| 113 *sin = -c; |
| 114 *cos = s; |
| 115 break; |
| 116 } |
| 117 } |
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