1 /*- 2 * Copyright (c) 2007 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 27 #include <sys/cdefs.h> 28 __FBSDID("$FreeBSD$"); 29 30 #include <float.h> 31 32 #include "math.h" 33 #define INLINE_REM_PIO2L 34 #include "math_private.h" 35 #if LDBL_MANT_DIG == 64 36 #include "../ld80/e_rem_pio2l.h" 37 #elif LDBL_MANT_DIG == 113 38 #include "../ld128/e_rem_pio2l.h" 39 #else 40 #error "Unsupported long double format" 41 #endif 42 43 long double 44 sinl(long double x) 45 { 46 union IEEEl2bits z; 47 int e0, s; 48 long double y[2]; 49 long double hi, lo; 50 51 z.e = x; 52 s = z.bits.sign; 53 z.bits.sign = 0; 54 55 /* If x = +-0 or x is a subnormal number, then sin(x) = x */ 56 if (z.bits.exp == 0) 57 return (x); 58 59 /* If x = NaN or Inf, then sin(x) = NaN. */ 60 if (z.bits.exp == 32767) 61 return ((x - x) / (x - x)); 62 63 /* Optimize the case where x is already within range. */ 64 if (z.e < M_PI_4) { 65 hi = __kernel_sinl(z.e, 0, 0); 66 return (s ? -hi : hi); 67 } 68 69 e0 = __ieee754_rem_pio2l(x, y); 70 hi = y[0]; 71 lo = y[1]; 72 73 switch (e0 & 3) { 74 case 0: 75 hi = __kernel_sinl(hi, lo, 1); 76 break; 77 case 1: 78 hi = __kernel_cosl(hi, lo); 79 break; 80 case 2: 81 hi = - __kernel_sinl(hi, lo, 1); 82 break; 83 case 3: 84 hi = - __kernel_cosl(hi, lo); 85 break; 86 } 87 88 return (hi); 89 } 90