| Elliott Hughes | e332f65 | 2018-05-08 15:07:43 -0700 | [diff] [blame] | 1 | /*- |
| 2 | * ==================================================== |
| 3 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 4 | * |
| 5 | * Developed at SunPro, a Sun Microsystems, Inc. business. |
| 6 | * Permission to use, copy, modify, and distribute this |
| 7 | * software is freely granted, provided that this notice |
| 8 | * is preserved. |
| 9 | * ==================================================== |
| 10 | */ |
| 11 | |
| 12 | /* s_sincosf.c -- float version of s_sincos.c. |
| 13 | * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
| 14 | * Optimized by Bruce D. Evans. |
| 15 | * Merged s_sinf.c and s_cosf.c by Steven G. Kargl. |
| 16 | */ |
| 17 | |
| 18 | #include <sys/cdefs.h> |
| Elliott Hughes | bac0ebb | 2021-01-26 14:17:20 -0800 | [diff] [blame^] | 19 | __FBSDID("$FreeBSD$"); |
| Elliott Hughes | e332f65 | 2018-05-08 15:07:43 -0700 | [diff] [blame] | 20 | |
| 21 | #include <float.h> |
| 22 | |
| 23 | #include "math.h" |
| 24 | #define INLINE_REM_PIO2F |
| 25 | #include "math_private.h" |
| 26 | #include "e_rem_pio2f.c" |
| 27 | #include "k_sincosf.h" |
| 28 | |
| 29 | /* Small multiples of pi/2 rounded to double precision. */ |
| 30 | static const double |
| 31 | p1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ |
| 32 | p2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ |
| 33 | p3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ |
| 34 | p4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ |
| 35 | |
| 36 | void |
| 37 | sincosf(float x, float *sn, float *cs) |
| 38 | { |
| 39 | float c, s; |
| 40 | double y; |
| 41 | int32_t n, hx, ix; |
| 42 | |
| 43 | GET_FLOAT_WORD(hx, x); |
| 44 | ix = hx & 0x7fffffff; |
| 45 | |
| 46 | if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ |
| 47 | if (ix < 0x39800000) { /* |x| < 2**-12 */ |
| 48 | if ((int)x == 0) { |
| 49 | *sn = x; /* x with inexact if x != 0 */ |
| 50 | *cs = 1; |
| 51 | return; |
| 52 | } |
| 53 | } |
| 54 | __kernel_sincosdf(x, sn, cs); |
| 55 | return; |
| 56 | } |
| 57 | |
| 58 | if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */ |
| 59 | if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */ |
| 60 | if (hx > 0) { |
| 61 | __kernel_sincosdf(x - p1pio2, cs, sn); |
| 62 | *cs = -*cs; |
| 63 | } else { |
| 64 | __kernel_sincosdf(x + p1pio2, cs, sn); |
| 65 | *sn = -*sn; |
| 66 | } |
| 67 | } else { |
| 68 | if (hx > 0) |
| 69 | __kernel_sincosdf(x - p2pio2, sn, cs); |
| 70 | else |
| 71 | __kernel_sincosdf(x + p2pio2, sn, cs); |
| 72 | *sn = -*sn; |
| 73 | *cs = -*cs; |
| 74 | } |
| 75 | return; |
| 76 | } |
| 77 | |
| 78 | if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */ |
| 79 | if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */ |
| 80 | if (hx > 0) { |
| 81 | __kernel_sincosdf(x - p3pio2, cs, sn); |
| 82 | *sn = -*sn; |
| 83 | } else { |
| 84 | __kernel_sincosdf(x + p3pio2, cs, sn); |
| 85 | *cs = -*cs; |
| 86 | } |
| 87 | } else { |
| 88 | if (hx > 0) |
| 89 | __kernel_sincosdf(x - p4pio2, sn, cs); |
| 90 | else |
| 91 | __kernel_sincosdf(x + p4pio2, sn, cs); |
| 92 | } |
| 93 | return; |
| 94 | } |
| 95 | |
| 96 | /* If x = Inf or NaN, then sin(x) = NaN and cos(x) = NaN. */ |
| 97 | if (ix >= 0x7f800000) { |
| 98 | *sn = x - x; |
| 99 | *cs = x - x; |
| 100 | return; |
| 101 | } |
| 102 | |
| 103 | /* Argument reduction. */ |
| 104 | n = __ieee754_rem_pio2f(x, &y); |
| 105 | __kernel_sincosdf(y, &s, &c); |
| 106 | |
| 107 | switch(n & 3) { |
| 108 | case 0: |
| 109 | *sn = s; |
| 110 | *cs = c; |
| 111 | break; |
| 112 | case 1: |
| 113 | *sn = c; |
| 114 | *cs = -s; |
| 115 | break; |
| 116 | case 2: |
| 117 | *sn = -s; |
| 118 | *cs = -c; |
| 119 | break; |
| 120 | default: |
| 121 | *sn = -c; |
| 122 | *cs = s; |
| 123 | } |
| 124 | } |
| 125 | |
| 126 | |