/*- * Copyright (c) 2017,2023 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 /* * See ../src/s_sinpi.c for implementation details. */ #define INLINE_KERNEL_SINDF #define INLINE_KERNEL_COSDF #include "namespace.h" __weak_alias(sinpif, _sinpif) #include "math.h" #include "math_private.h" #include "k_cosdf.c" #include "k_sindf.c" #define __kernel_cospif(x) (__kernel_cosdf(M_PI * (x))) #define __kernel_sinpif(x) (__kernel_sindf(M_PI * (x))) static const float pi_hi = 3.14160156e+00F, /* 0x40491000 */ pi_lo = -8.90890988e-06F; /* 0xb715777a */ static volatile const float vzero = 0; float sinpif(float x) { float ax, hi, lo, s; uint32_t hx, ix, j0; GET_FLOAT_WORD(hx, x); ix = hx & 0x7fffffff; SET_FLOAT_WORD(ax, ix); if (ix < 0x3f800000) { /* |x| < 1 */ if (ix < 0x3e800000) { /* |x| < 0.25 */ if (ix < 0x38800000) { /* |x| < 0x1p-14 */ if (x == 0) return (x); SET_FLOAT_WORD(hi, hx & 0xffff0000); hi *= 0x1p23F; lo = x * 0x1p23F - hi; s = (pi_lo + pi_hi) * lo + pi_lo * hi + pi_hi * hi; return (s * 0x1p-23F); } s = __kernel_sinpif(ax); return ((hx & 0x80000000) ? -s : s); } if (ix < 0x3f000000) /* |x| < 0.5 */ s = __kernel_cospif(0.5F - ax); else if (ix < 0x3f400000) /* |x| < 0.75 */ s = __kernel_cospif(ax - 0.5F); else s = __kernel_sinpif(1 - ax); return ((hx & 0x80000000) ? -s : s); } if (ix < 0x4b000000) { /* 1 <= |x| < 0x1p23 */ FFLOORF(x, j0, ix); /* Integer part of ax. */ ax -= x; GET_FLOAT_WORD(ix, ax); if (ix == 0) s = 0; else { if (ix < 0x3f000000) { /* |x| < 0.5 */ if (ix < 0x3e800000) /* |x| < 0.25 */ s = __kernel_sinpif(ax); else s = __kernel_cospif(0.5F - ax); } else { if (ix < 0x3f400000) /* |x| < 0.75 */ s = __kernel_cospif(ax - 0.5F); else s = __kernel_sinpif(1 - ax); } j0 = (uint32_t)x; s = (j0 & 1) ? -s : s; } return ((hx & 0x80000000) ? -s : s); } /* x = +-inf or nan. */ if (ix >= 0x7f800000) return (vzero / vzero); /* * |x| >= 0x1p23 is always an integer, so return +-0. */ return (copysignf(0, x)); }