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 <float.h> 30 #ifdef __i386__ 31 #include <ieeefp.h> 32 #endif 33 34 #include "math.h" 35 #include "math_private.h" 36 #if LDBL_MANT_DIG == 64 37 #include "../ld80/e_rem_pio2l.h" 38 #elif LDBL_MANT_DIG == 113 39 #include "../ld128/e_rem_pio2l.h" 40 #else 41 #error "Unsupported long double format" 42 #endif 43 44 long double 45 sinl(long double x) 46 { 47 union IEEEl2bits z; 48 int e0, s; 49 long double y[2]; 50 long double hi, lo; 51 52 z.e = x; 53 s = z.bits.sign; 54 z.bits.sign = 0; 55 56 /* If x = +-0 or x is a subnormal number, then sin(x) = x */ 57 if (z.bits.exp == 0) 58 return (x); 59 60 /* If x = NaN or Inf, then sin(x) = NaN. */ 61 if (z.bits.exp == 32767) 62 return ((x - x) / (x - x)); 63 64 ENTERI(); 65 66 /* Optimize the case where x is already within range. */ 67 if (z.e < M_PI_4) { 68 hi = __kernel_sinl(z.e, 0, 0); 69 RETURNI(s ? -hi : hi); 70 } 71 72 e0 = __ieee754_rem_pio2l(x, y); 73 hi = y[0]; 74 lo = y[1]; 75 76 switch (e0 & 3) { 77 case 0: 78 hi = __kernel_sinl(hi, lo, 1); 79 break; 80 case 1: 81 hi = __kernel_cosl(hi, lo); 82 break; 83 case 2: 84 hi = - __kernel_sinl(hi, lo, 1); 85 break; 86 case 3: 87 hi = - __kernel_cosl(hi, lo); 88 break; 89 } 90 91 RETURNI(hi); 92 } 93