1 /*- 2 * SPDX-License-Identifier: BSD-2-Clause 3 * 4 * Copyright (c) 2007 Steven G. Kargl 5 * All rights reserved. 6 * 7 * Redistribution and use in source and binary forms, with or without 8 * modification, are permitted provided that the following conditions 9 * are met: 10 * 1. Redistributions of source code must retain the above copyright 11 * notice unmodified, this list of conditions, and the following 12 * disclaimer. 13 * 2. Redistributions in binary form must reproduce the above copyright 14 * notice, this list of conditions and the following disclaimer in the 15 * documentation and/or other materials provided with the distribution. 16 * 17 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR 18 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES 19 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 20 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, 21 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 22 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 23 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 24 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 25 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF 26 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 27 */ 28 29 #include <sys/cdefs.h> 30 __FBSDID("$FreeBSD$"); 31 32 #include <float.h> 33 #ifdef __i386__ 34 #include <ieeefp.h> 35 #endif 36 37 #include "math.h" 38 #include "math_private.h" 39 #if LDBL_MANT_DIG == 64 40 #include "../ld80/e_rem_pio2l.h" 41 #elif LDBL_MANT_DIG == 113 42 #include "../ld128/e_rem_pio2l.h" 43 #else 44 #error "Unsupported long double format" 45 #endif 46 47 long double 48 sinl(long double x) 49 { 50 union IEEEl2bits z; 51 int e0, s; 52 long double y[2]; 53 long double hi, lo; 54 55 z.e = x; 56 s = z.bits.sign; 57 z.bits.sign = 0; 58 59 /* If x = +-0 or x is a subnormal number, then sin(x) = x */ 60 if (z.bits.exp == 0) 61 return (x); 62 63 /* If x = NaN or Inf, then sin(x) = NaN. */ 64 if (z.bits.exp == 32767) 65 return ((x - x) / (x - x)); 66 67 ENTERI(); 68 69 /* Optimize the case where x is already within range. */ 70 if (z.e < M_PI_4) { 71 hi = __kernel_sinl(z.e, 0, 0); 72 RETURNI(s ? -hi : hi); 73 } 74 75 e0 = __ieee754_rem_pio2l(x, y); 76 hi = y[0]; 77 lo = y[1]; 78 79 switch (e0 & 3) { 80 case 0: 81 hi = __kernel_sinl(hi, lo, 1); 82 break; 83 case 1: 84 hi = __kernel_cosl(hi, lo); 85 break; 86 case 2: 87 hi = - __kernel_sinl(hi, lo, 1); 88 break; 89 case 3: 90 hi = - __kernel_cosl(hi, lo); 91 break; 92 } 93 94 RETURNI(hi); 95 } 96