1 /*- 2 * Copyright (c) 2007, 2010-2013 Steven G. Kargl 3 * All rights reserved. 4 * 5 * Redistribution and use in source and binary forms, with or without 6 * modification, are permitted provided that the following conditions 7 * are met: 8 * 1. Redistributions of source code must retain the above copyright 9 * notice unmodified, this list of conditions, and the following 10 * disclaimer. 11 * 2. Redistributions in binary form must reproduce the above copyright 12 * notice, this list of conditions and the following disclaimer in the 13 * documentation and/or other materials provided with the distribution. 14 * 15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR 16 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES 17 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 18 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, 19 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 20 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 21 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 22 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 23 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF 24 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 25 * 26 * s_sinl.c and s_cosl.c merged by Steven G. Kargl. 27 */ 28 29 #include <sys/cdefs.h> 30 #if 0 31 __FBSDID("$FreeBSD: head/lib/msun/src/s_sincosl.c 319047 2017-05-28 06:13:38Z mmel $"); 32 #endif 33 #if defined(LIBM_SCCS) && !defined(lint) 34 __RCSID("$NetBSD: s_sincosl.c,v 1.2 2022/08/27 17:15:52 christos Exp $"); 35 #endif 36 37 #include "namespace.h" 38 #include <float.h> 39 #ifdef __i386__ 40 #include <ieeefp.h> 41 #endif 42 43 #include "math.h" 44 #include "math_private.h" 45 46 #ifdef __HAVE_LONG_DOUBLE 47 48 #include "k_sincosl.h" 49 50 #if LDBL_MANT_DIG == 64 51 #include "../ld80/e_rem_pio2l.h" 52 #elif LDBL_MANT_DIG == 113 53 #include "../ld128/e_rem_pio2l.h" 54 #else 55 #error "Unsupported long double format" 56 #endif 57 58 #ifdef __weak_alias 59 __weak_alias(sincosl,_sincosl) 60 #endif 61 62 void 63 sincosl(long double x, long double *sn, long double *cs) 64 { 65 union ieee_ext_u z; 66 int e0; 67 long double y[2]; 68 69 z.extu_ld = x; 70 z.extu_sign = 0; 71 72 ENTERV(); 73 74 /* Optimize the case where x is already within range. */ 75 if (z.extu_ld < M_PI_4) { 76 /* 77 * If x = +-0 or x is a subnormal number, then sin(x) = x and 78 * cos(x) = 1. 79 */ 80 if (z.extu_exp == 0) { 81 *sn = x; 82 *cs = 1; 83 } else 84 __kernel_sincosl(x, 0, 0, sn, cs); 85 RETURNV(); 86 } 87 88 /* If x = NaN or Inf, then sin(x) and cos(x) are NaN. */ 89 if (z.extu_exp == 32767) { 90 *sn = x - x; 91 *cs = x - x; 92 RETURNV(); 93 } 94 95 /* Range reduction. */ 96 e0 = __ieee754_rem_pio2l(x, y); 97 98 switch (e0 & 3) { 99 case 0: 100 __kernel_sincosl(y[0], y[1], 1, sn, cs); 101 break; 102 case 1: 103 __kernel_sincosl(y[0], y[1], 1, cs, sn); 104 *cs = -*cs; 105 break; 106 case 2: 107 __kernel_sincosl(y[0], y[1], 1, sn, cs); 108 *sn = -*sn; 109 *cs = -*cs; 110 break; 111 default: 112 __kernel_sincosl(y[0], y[1], 1, cs, sn); 113 *sn = -*sn; 114 } 115 116 RETURNV(); 117 } 118 #endif 119