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> 19 #if 0 20 __FBSDID("$FreeBSD: head/lib/msun/src/s_sincosf.c 319047 2017-05-28 06:13:38Z mmel $"); 21 #endif 22 #if defined(LIBM_SCCS) && !defined(lint) 23 __RCSID("$NetBSD: s_sincosf.c,v 1.1 2022/08/27 08:31:59 christos Exp $"); 24 #endif 25 26 #include "namespace.h" 27 #include <float.h> 28 29 #include "math.h" 30 #define INLINE_REM_PIO2F 31 #include "math_private.h" 32 #include "e_rem_pio2f.h" 33 #include "k_sincosf.h" 34 35 /* Small multiples of pi/2 rounded to double precision. */ 36 static const double 37 p1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ 38 p2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ 39 p3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ 40 p4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ 41 42 #ifdef __weak_alias 43 __weak_alias(sincosf,_sincosf) 44 #endif 45 46 void 47 sincosf(float x, float *sn, float *cs) 48 { 49 float c, s; 50 double y; 51 int32_t n, hx, ix; 52 53 GET_FLOAT_WORD(hx, x); 54 ix = hx & 0x7fffffff; 55 56 if (ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ 57 if (ix < 0x39800000) { /* |x| < 2**-12 */ 58 if ((int)x == 0) { 59 *sn = x; /* x with inexact if x != 0 */ 60 *cs = 1; 61 return; 62 } 63 } 64 __kernel_sincosdf(x, sn, cs); 65 return; 66 } 67 68 if (ix <= 0x407b53d1) { /* |x| ~<= 5*pi/4 */ 69 if (ix <= 0x4016cbe3) { /* |x| ~<= 3pi/4 */ 70 if (hx > 0) { 71 __kernel_sincosdf(x - p1pio2, cs, sn); 72 *cs = -*cs; 73 } else { 74 __kernel_sincosdf(x + p1pio2, cs, sn); 75 *sn = -*sn; 76 } 77 } else { 78 if (hx > 0) 79 __kernel_sincosdf(x - p2pio2, sn, cs); 80 else 81 __kernel_sincosdf(x + p2pio2, sn, cs); 82 *sn = -*sn; 83 *cs = -*cs; 84 } 85 return; 86 } 87 88 if (ix <= 0x40e231d5) { /* |x| ~<= 9*pi/4 */ 89 if (ix <= 0x40afeddf) { /* |x| ~<= 7*pi/4 */ 90 if (hx > 0) { 91 __kernel_sincosdf(x - p3pio2, cs, sn); 92 *sn = -*sn; 93 } else { 94 __kernel_sincosdf(x + p3pio2, cs, sn); 95 *cs = -*cs; 96 } 97 } else { 98 if (hx > 0) 99 __kernel_sincosdf(x - p4pio2, sn, cs); 100 else 101 __kernel_sincosdf(x + p4pio2, sn, cs); 102 } 103 return; 104 } 105 106 /* If x = Inf or NaN, then sin(x) = NaN and cos(x) = NaN. */ 107 if (ix >= 0x7f800000) { 108 *sn = x - x; 109 *cs = x - x; 110 return; 111 } 112 113 /* Argument reduction. */ 114 n = __ieee754_rem_pio2fd(x, &y); 115 __kernel_sincosdf(y, &s, &c); 116 117 switch(n & 3) { 118 case 0: 119 *sn = s; 120 *cs = c; 121 break; 122 case 1: 123 *sn = c; 124 *cs = -s; 125 break; 126 case 2: 127 *sn = -s; 128 *cs = -c; 129 break; 130 default: 131 *sn = -c; 132 *cs = s; 133 } 134 } 135 136 137