mirror of
git://sourceware.org/git/newlib-cygwin.git
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048ebea981
Rename s_nearbyint.c, s_fdim.c and s_scalbln.c to remove conflicts
Remove functions that are not needed from above files
Modify include paths
Add includes missing in cygwin build
Add missing types
Create Makefiles
Create header files to resolve dependencies between directories
Modify some instances of unsigned long to uint64_t for 32 bit platforms
Add HAVE_FPMATH_H
141 lines
3.7 KiB
C
141 lines
3.7 KiB
C
/*-
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* Copyright (c) 2017 Steven G. Kargl
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice unmodified, this list of conditions, and the following
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* disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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/*
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* See ../src/s_sinpi.c for implementation details.
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*/
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#ifdef __i386__
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#include <ieeefp.h>
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#endif
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#include <stdint.h>
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#include "../ld/fpmath.h"
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#include "math.h"
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#include "../ld/math_private.h"
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static const union IEEEl2bits
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pi_hi_u = LD80C(0xc90fdaa200000000, 1, 3.14159265346825122833e+00L),
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pi_lo_u = LD80C(0x85a308d313198a2e, -33, 1.21542010130123852029e-10L);
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#define pi_hi (pi_hi_u.e)
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#define pi_lo (pi_lo_u.e)
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#include "k_cospil.h"
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#include "k_sinpil.h"
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volatile static const double vzero = 0;
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long double
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sinpil(long double x)
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{
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long double ax, hi, lo, s;
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uint64_t lx, m;
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uint32_t j0;
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uint16_t hx, ix;
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EXTRACT_LDBL80_WORDS(hx, lx, x);
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ix = hx & 0x7fff;
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INSERT_LDBL80_WORDS(ax, ix, lx);
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ENTERI();
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if (ix < 0x3fff) { /* |x| < 1 */
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if (ix < 0x3ffd) { /* |x| < 0.25 */
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if (ix < 0x3fdd) { /* |x| < 0x1p-34 */
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if (x == 0)
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RETURNI(x);
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INSERT_LDBL80_WORDS(hi, hx,
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lx & 0xffffffff00000000ull);
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hi *= 0x1p63L;
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lo = x * 0x1p63L - hi;
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s = (pi_lo + pi_hi) * lo + pi_lo * hi +
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pi_hi * hi;
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RETURNI(s * 0x1p-63L);
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}
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s = __kernel_sinpil(ax);
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RETURNI((hx & 0x8000) ? -s : s);
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}
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if (ix < 0x3ffe) /* |x| < 0.5 */
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s = __kernel_cospil(0.5 - ax);
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else if (lx < 0xc000000000000000ull) /* |x| < 0.75 */
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s = __kernel_cospil(ax - 0.5);
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else
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s = __kernel_sinpil(1 - ax);
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RETURNI((hx & 0x8000) ? -s : s);
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}
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if (ix < 0x403e) { /* 1 <= |x| < 0x1p63 */
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/* Determine integer part of ax. */
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j0 = ix - 0x3fff + 1;
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if (j0 < 32) {
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lx = (lx >> 32) << 32;
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lx &= ~(((lx << 32)-1) >> j0);
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} else {
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m = (uint64_t)-1 >> (j0 + 1);
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if (lx & m) lx &= ~m;
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}
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INSERT_LDBL80_WORDS(x, ix, lx);
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ax -= x;
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EXTRACT_LDBL80_WORDS(ix, lx, ax);
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if (ix == 0) {
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s = 0;
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} else {
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if (ix < 0x3ffe) { /* |x| < 0.5 */
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if (ix < 0x3ffd) /* |x| < 0.25 */
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s = __kernel_sinpil(ax);
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else
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s = __kernel_cospil(0.5 - ax);
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} else {
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/* |x| < 0.75 */
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if (lx < 0xc000000000000000ull)
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s = __kernel_cospil(ax - 0.5);
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else
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s = __kernel_sinpil(1 - ax);
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}
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if (j0 > 40)
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x -= 0x1p40;
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if (j0 > 30)
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x -= 0x1p30;
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j0 = (uint32_t)x;
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if (j0 & 1) s = -s;
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}
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RETURNI((hx & 0x8000) ? -s : s);
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}
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/* x = +-inf or nan. */
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if (ix >= 0x7fff)
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RETURNI(vzero / vzero);
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/*
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* |x| >= 0x1p63 is always an integer, so return +-0.
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*/
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RETURNI(copysignl(0, x));
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}
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