5 files changed, 431 insertions, 0 deletions

diff --git a/lib/msun/ld128/k_cospil.h b/lib/msun/ld128/k_cospil.h
new file mode 100644
index 000000000000..592f19229532
--- /dev/null
+++ b/lib/msun/ld128/k_cospil.h
@@ -0,0 +1,42 @@
+/*-
+ * 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/k_cospi.c for implementation details.
+ */
+
+static inline long double
+__kernel_cospil(long double x)
+{
+	long double hi, lo;
+
+	hi = (double)x;
+	lo = x - hi;
+	lo = lo * (pi_lo + pi_hi) + hi * pi_lo;
+	hi *= pi_hi;
+	_2sumF(hi, lo);
+	return (__kernel_cosl(hi, lo));
+}
diff --git a/lib/msun/ld128/k_sinpil.h b/lib/msun/ld128/k_sinpil.h
new file mode 100644
index 000000000000..fa4e7d6336d7
--- /dev/null
+++ b/lib/msun/ld128/k_sinpil.h
@@ -0,0 +1,42 @@
+/*-
+ * 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/k_sinpi.c for implementation details.
+ */
+
+static inline long double
+__kernel_sinpil(long double x)
+{
+	long double hi, lo;
+
+	hi = (double)x;
+	lo = x - hi;
+	lo = lo * (pi_lo + pi_hi) + hi * pi_lo;
+	hi *= pi_hi;
+	_2sumF(hi, lo);
+	return (__kernel_sinl(hi, lo, 1));
+}
diff --git a/lib/msun/ld128/s_cospil.c b/lib/msun/ld128/s_cospil.c
new file mode 100644
index 000000000000..b4bc50bb4d89
--- /dev/null
+++ b/lib/msun/ld128/s_cospil.c
@@ -0,0 +1,109 @@
+/*-
+ * 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.
+ *
+ * FIXME:  This has not been compiled nor has it been tested for accuracy.
+ * FIXME:  This should use bit twiddling.
+ */
+
+#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
+cospil(long double x)
+{
+	long double ax, c, xf;
+	uint32_t ix;
+
+	ax = fabsl(x);
+
+	if (ax < 1) {
+		if (ax < 0.25) {
+			if (ax < 0x1p-60) {
+				if ((int)x == 0)
+					return (1);
+			}
+			return (__kernel_cospil(ax));
+		}
+
+		if (ax < 0.5)
+			c = __kernel_sinpil(0.5 - ax);
+		else if (ax < 0.75) {
+			if (ax == 0.5)
+				return (0);
+			c = -__kernel_sinpil(ax - 0.5);
+		} else
+			c = -__kernel_cospil(1 - ax);
+		return (c);
+	}
+
+	if (ax < 0x1p112) {
+		xf = floorl(ax);
+		ax -= xf;
+		if (x < 0.5) {
+			if (x < 0.25)
+				c = ax == 0 ? 1 : __kernel_cospil(ax);
+			else
+				c = __kernel_sinpil(0.5 - ax);
+		} else {
+			if (x < 0.75) {
+				if (ax == 0.5)
+					return (0);
+				c = -__kernel_sinpil(ax - 0.5);
+			} else
+				c = -__kernel_cospil(1 - ax);
+		}
+
+		if (xf > 0x1p50)
+			xf -= 0x1p50;
+		if (xf > 0x1p30)
+			xf -= 0x1p30;
+		ix = (uint32_t)xf;
+		return (ix & 1 ? -c : c);
+	}
+
+	if (isinf(x) || isnan(x))
+		return (vzero / vzero);
+
+	/*
+	 * |x| >= 0x1p112 is always an even integer, so return 1.
+	 */
+	return (1);
+}
diff --git a/lib/msun/ld128/s_sinpil.c b/lib/msun/ld128/s_sinpil.c
new file mode 100644
index 000000000000..39eed9b007bc
--- /dev/null
+++ b/lib/msun/ld128/s_sinpil.c
@@ -0,0 +1,118 @@
+/*-
+ * 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_sinpi.c for implementation details.
+ *
+ * FIXME:  This has not been compiled nor has it been tested for accuracy.
+ * FIXME:  This should use bit twiddling.
+ */
+
+#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 ax, hi, lo, s, xf, xhi, xlo;
+	uint32_t ix;
+
+	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 (copysignl(s, x));
+		}
+
+		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 (copysignl(s, x));
+	}
+
+	if (ax < 0x1p112) {
+		xf = floorl(ax);
+		ax -= xf;
+		if (ax == 0) {
+			s = 0;
+		} else {
+			if (ax < 0.5) {
+				if (ax <= 0.25)
+					s = __kernel_sinpil(ax);
+				else
+					s = __kernel_cospil(0.5 - ax);
+			} else {
+				if (ax < 0.75)
+					s = __kernel_cospil(ax - 0.5);
+				else
+					s = __kernel_sinpil(1 - ax);
+			}
+
+			if (xf > 0x1p50)
+				xf -= 0x1p50;
+			if (xf > 0x1p30)
+				xf -= 0x1p30;
+			ix = (uint32_t)xf;
+			if (ix & 1) s = -s;
+		}
+		return (copysignl(s, x));
+	}
+
+	if (isinf(x) || isnan(x))
+		return (vzero / vzero);
+
+	/*
+	 * |x| >= 0x1p112 is always an integer, so return +-0.
+	 */
+	return (copysignl(0, x));
+}
diff --git a/lib/msun/ld128/s_tanpil.c b/lib/msun/ld128/s_tanpil.c
new file mode 100644
index 000000000000..33a61cf3115d
--- /dev/null
+++ b/lib/msun/ld128/s_tanpil.c
@@ -0,0 +1,120 @@
+/*-
+ * 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_tanpi.c for implementation details.
+ *
+ * FIXME: This has not been compiled nor has it been tested for accuracy.
+ * FIXME: This should use bit twiddling.
+ */
+
+#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;
+
+static inline long double
+__kernel_tanpi(long double x)
+{
+	long double hi, lo, t;
+
+	if (x < 0.25) {
+		hi = (double)x;
+		lo = x - hi;
+		lo = lo * (pi_lo + pi_hi) + hi * pi_lo;
+		hi *= pi_hi;
+		_2sumF(hi, lo);
+		t = __kernel_tanl(hi, lo, -1);
+	} else if (x > 0.25) {
+		x = 0.5 - x;
+		hi = (double)x;
+		lo = x - hi;
+		lo = lo * (pi_lo + pi_hi) + hi * pi_lo;
+		hi *= pi_hi;
+		_2sumF(hi, lo);
+		t = - __kernel_tanl(hi, lo, 1);
+	} else
+		t = 1;
+
+	return (t);
+}
+
+volatile static const double vzero = 0;
+
+long double
+tanpil(long double x)
+{
+	long double ax, hi, lo, xf;
+	uint32_t ix;
+
+	ax = fabsl(ax);
+
+	if (ax < 1) {
+		if (ax < 0.5) {
+			if (ax < 0x1p-60) {
+				if (x == 0)
+					return (x);
+				hi = (double)x;
+				hi *= 0x1p113L
+				lo = x * 0x1p113L - hi;
+				t = (pi_lo + pi_hi) * lo + pi_lo * lo +
+				    pi_hi * hi;
+				return (t * 0x1p-113L);
+			}
+			t = __kernel_tanpil(ax);
+		} else if (ax == 0.5)
+			return ((ax - ax) / (ax - ax));
+		else
+			t = -__kernel_tanpil(1 - ax);
+		return (copysignl(t, x));
+	}
+
+	if (ix < 0x1p112) {
+		xf = floorl(ax);
+		ax -= xf;
+		if (ax < 0.5)
+			t = ax == 0 ? 0 : __kernel_tanpil(ax);
+		else if (ax == 0.5)
+			return ((ax - ax) / (ax - ax));
+		else
+			t = -__kernel_tanpil(1 - ax);
+		return (copysignl(t, x));
+	}
+
+	/* x = +-inf or nan. */
+	if (isinf(x) || isnan(x))
+		return (vzero / vzero);
+
+	/*
+	 * |x| >= 0x1p53 is always an integer, so return +-0.
+	 */
+	return (copysignl(0, x));
+}