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-rw-r--r--lib/msun/ld80/s_cospil.c129
1 files changed, 129 insertions, 0 deletions
diff --git a/lib/msun/ld80/s_cospil.c b/lib/msun/ld80/s_cospil.c
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+++ b/lib/msun/ld80/s_cospil.c
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+/*-
+ * Copyright (c) 2017 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.
+ */
+
+/*
+ * See ../src/s_cospi.c for implementation details.
+ */
+
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+#include <stdint.h>
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+static const double
+pi_hi = 3.1415926814079285e+00, /* 0x400921fb 0x58000000 */
+pi_lo =-2.7818135228334233e-08; /* 0xbe5dde97 0x3dcb3b3a */
+
+#include "k_cospil.h"
+#include "k_sinpil.h"
+
+volatile static const double vzero = 0;
+
+long double
+cospil(long double x)
+{
+ long double ax, c;
+ uint64_t lx, m;
+ uint32_t j0;
+ uint16_t hx, ix;
+
+ EXTRACT_LDBL80_WORDS(hx, lx, x);
+ ix = hx & 0x7fff;
+ INSERT_LDBL80_WORDS(ax, ix, lx);
+
+ ENTERI();
+
+ if (ix < 0x3fff) { /* |x| < 1 */
+ if (ix < 0x3ffd) { /* |x| < 0.25 */
+ if (ix < 0x3fdd) { /* |x| < 0x1p-34 */
+ if ((int)x == 0)
+ RETURNI(1);
+ }
+ RETURNI(__kernel_cospil(ax));
+ }
+
+ if (ix < 0x3ffe) /* |x| < 0.5 */
+ c = __kernel_sinpil(0.5 - ax);
+ else if (lx < 0xc000000000000000ull) { /* |x| < 0.75 */
+ if (ax == 0.5)
+ RETURNI(0);
+ c = -__kernel_sinpil(ax - 0.5);
+ } else
+ c = -__kernel_cospil(1 - ax);
+ RETURNI(c);
+ }
+
+ if (ix < 0x403e) { /* 1 <= |x| < 0x1p63 */
+ /* Determine integer part of ax. */
+ j0 = ix - 0x3fff + 1;
+ if (j0 < 32) {
+ lx = (lx >> 32) << 32;
+ lx &= ~(((lx << 32)-1) >> j0);
+ } else {
+ m = (uint64_t)-1 >> (j0 + 1);
+ if (lx & m) lx &= ~m;
+ }
+ INSERT_LDBL80_WORDS(x, ix, lx);
+
+ ax -= x;
+ EXTRACT_LDBL80_WORDS(ix, lx, ax);
+
+ if (ix < 0x3ffe) { /* |x| < 0.5 */
+ if (ix < 0x3ffd) /* |x| < 0.25 */
+ c = ix == 0 ? 1 : __kernel_cospil(ax);
+ else
+ c = __kernel_sinpil(0.5 - ax);
+
+ } else {
+ if (lx < 0xc000000000000000ull) { /* |x| < 0.75 */
+ if (ax == 0.5)
+ RETURNI(0);
+ c = -__kernel_sinpil(ax - 0.5);
+ } else
+ c = -__kernel_cospil(1 - ax);
+ }
+
+ if (j0 > 40)
+ x -= 0x1p40;
+ if (j0 > 30)
+ x -= 0x1p30;
+ j0 = (uint32_t)x;
+
+ RETURNI(j0 & 1 ? -c : c);
+ }
+
+ if (ix >= 0x7fff)
+ RETURNI(vzero / vzero);
+
+ /*
+ * |x| >= 0x1p63 is always an even integer, so return 1.
+ */
+ RETURNI(1);
+}