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-rw-r--r--lib/msun/ld128/s_sinpil.c111
1 files changed, 111 insertions, 0 deletions
diff --git a/lib/msun/ld128/s_sinpil.c b/lib/msun/ld128/s_sinpil.c
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+++ b/lib/msun/ld128/s_sinpil.c
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+/*-
+ * 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.
+ */
+
+/*
+ * See ../src/s_sinpi.c for implementation details.
+ */
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * pi_hi contains the leading 56 bits of a 169 bit approximation for pi.
+ */
+static const long double
+pi_hi = 3.14159265358979322702026593105983920e+00L,
+pi_lo = 1.14423774522196636802434264184180742e-17L;
+
+#include "k_cospil.h"
+#include "k_sinpil.h"
+
+volatile static const double vzero = 0;
+
+long double
+sinpil(long double x)
+{
+ long double ai, ar, ax, hi, lo, s, xhi, xlo;
+
+ ax = fabsl(x);
+
+ if (ax < 1) {
+ if (ax < 0.25) {
+ if (ax < 0x1p-60) {
+ if (x == 0)
+ return (x);
+ hi = (double)x;
+ hi *= 0x1p113L;
+ lo = x * 0x1p113L - hi;
+ s = (pi_lo + pi_hi) * lo + pi_lo * lo +
+ pi_hi * hi;
+ return (s * 0x1p-113L);
+ }
+
+ s = __kernel_sinpil(ax);
+ return (x < 0 ? -s : s);
+ }
+
+ if (ax < 0.5)
+ s = __kernel_cospil(0.5 - ax);
+ else if (ax < 0.75)
+ s = __kernel_cospil(ax - 0.5);
+ else
+ s = __kernel_sinpil(1 - ax);
+ return (x < 0 ? -s : s);
+ }
+
+ if (ax < 0x1p112) {
+ /* Split ax = ai + ar with 0 <= ar < 1. */
+ FFLOORL128(ax, ai, ar);
+
+ if (ar == 0) {
+ s = 0;
+ } else {
+ if (ar < 0.5) {
+ if (ar <= 0.25)
+ s = __kernel_sinpil(ar);
+ else
+ s = __kernel_cospil(0.5 - ar);
+ } else {
+ if (ar < 0.75)
+ s = __kernel_cospil(ar - 0.5);
+ else
+ s = __kernel_sinpil(1 - ar);
+ }
+
+ s = fmodl(ai, 2.L) == 0 ? s : -s;
+ }
+ return (x < 0 ? -s : s);
+ }
+
+ if (isinf(x) || isnan(x))
+ return (vzero / vzero);
+
+ /*
+ * |x| >= 0x1p112 is always an integer, so return +-0.
+ */
+ return (copysignl(0, x));
+}