/*- * Copyright (c) 2007 Steven G. Kargl * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice unmodified, this list of conditions, and the following * disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #include <sys/cdefs.h> __FBSDID("$FreeBSD$"); #include <float.h> #ifdef __i386__ #include <ieeefp.h> #endif #include "math.h" #include "math_private.h" #if LDBL_MANT_DIG == 64 #include "../ld80/e_rem_pio2l.h" #elif LDBL_MANT_DIG == 113 #include "../ld128/e_rem_pio2l.h" #else #error "Unsupported long double format" #endif long double sinl(long double x) { union IEEEl2bits z; int e0, s; long double y[2]; long double hi, lo; z.e = x; s = z.bits.sign; z.bits.sign = 0; /* If x = +-0 or x is a subnormal number, then sin(x) = x */ if (z.bits.exp == 0) return (x); /* If x = NaN or Inf, then sin(x) = NaN. */ if (z.bits.exp == 32767) return ((x - x) / (x - x)); ENTERI(); /* Optimize the case where x is already within range. */ if (z.e < M_PI_4) { hi = __kernel_sinl(z.e, 0, 0); RETURNI(s ? -hi : hi); } e0 = __ieee754_rem_pio2l(x, y); hi = y[0]; lo = y[1]; switch (e0 & 3) { case 0: hi = __kernel_sinl(hi, lo, 1); break; case 1: hi = __kernel_cosl(hi, lo); break; case 2: hi = - __kernel_sinl(hi, lo, 1); break; case 3: hi = - __kernel_cosl(hi, lo); break; } RETURNI(hi); }