Switch to FreeBSD's actual sincos.
Before:
BM_math_sin_fast 48 ns 48 ns 14693053
BM_math_sincos 61 ns 61 ns 11470219
After:
BM_math_sin_fast 48 ns 48 ns 14725120
BM_math_sincos 43 ns 43 ns 16329843
Bug: N/A
Test: ran tests, benchmarks
Change-Id: I8693c64135233c0641af5302c38748f47ac76737
diff --git a/libm/upstream-freebsd/lib/msun/src/k_sincosl.h b/libm/upstream-freebsd/lib/msun/src/k_sincosl.h
new file mode 100644
index 0000000..423948e
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_sincosl.h
@@ -0,0 +1,134 @@
+/*-
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ * k_sinl.c and k_cosl.c merged by Steven G. Kargl
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/k_sincosl.h 319047 2017-05-28 06:13:38Z mmel $");
+
+#if LDBL_MANT_DIG == 64 /* ld80 version of k_sincosl.c. */
+
+#if defined(__amd64__) || defined(__i386__)
+/* Long double constants are slow on these arches, and broken on i386. */
+static const volatile double
+C1hi = 0.041666666666666664, /* 0x15555555555555.0p-57 */
+C1lo = 2.2598839032744733e-18, /* 0x14d80000000000.0p-111 */
+S1hi = -0.16666666666666666, /* -0x15555555555555.0p-55 */
+S1lo = -9.2563760475949941e-18; /* -0x15580000000000.0p-109 */
+#define S1 ((long double)S1hi + S1lo)
+#define C1 ((long double)C1hi + C1lo)
+#else
+static const long double
+C1 = 0.0416666666666666666136L; /* 0xaaaaaaaaaaaaaa9b.0p-68 */
+S1 = -0.166666666666666666671L, /* -0xaaaaaaaaaaaaaaab.0p-66 */
+#endif
+
+static const double
+C2 = -0.0013888888888888874, /* -0x16c16c16c16c10.0p-62 */
+C3 = 0.000024801587301571716, /* 0x1a01a01a018e22.0p-68 */
+C4 = -0.00000027557319215507120, /* -0x127e4fb7602f22.0p-74 */
+C5 = 0.0000000020876754400407278, /* 0x11eed8caaeccf1.0p-81 */
+C6 = -1.1470297442401303e-11, /* -0x19393412bd1529.0p-89 */
+C7 = 4.7383039476436467e-14, /* 0x1aac9d9af5c43e.0p-97 */
+S2 = 0.0083333333333333332, /* 0x11111111111111.0p-59 */
+S3 = -0.00019841269841269427, /* -0x1a01a01a019f81.0p-65 */
+S4 = 0.0000027557319223597490, /* 0x171de3a55560f7.0p-71 */
+S5 = -0.000000025052108218074604, /* -0x1ae64564f16cad.0p-78 */
+S6 = 1.6059006598854211e-10, /* 0x161242b90243b5.0p-85 */
+S7 = -7.6429779983024564e-13, /* -0x1ae42ebd1b2e00.0p-93 */
+S8 = 2.6174587166648325e-15; /* 0x179372ea0b3f64.0p-101 */
+
+static inline void
+__kernel_sincosl(long double x, long double y, int iy, long double *sn,
+ long double *cs)
+{
+ long double hz, r, v, w, z;
+
+ z = x * x;
+ v = z * x;
+ /*
+ * XXX Replace Horner scheme with an algorithm suitable for CPUs
+ * with more complex pipelines.
+ */
+ r = S2 + z * (S3 + z * (S4 + z * (S5 + z * (S6 + z * (S7 + z * S8)))));
+
+ if (iy == 0)
+ *sn = x + v * (S1 + z * r);
+ else
+ *sn = x - ((z * (y / 2 - v * r) - y) - v * S1);
+
+ hz = z / 2;
+ w = 1 - hz;
+ r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * (C6 +
+ z * C7))))));
+ *cs = w + (((1 - w) - hz) + (z * r - x * y));
+}
+
+#elif LDBL_MANT_DIG == 113 /* ld128 version of k_sincosl.c. */
+
+static const long double
+C1 = 0.04166666666666666666666666666666658424671L,
+C2 = -0.001388888888888888888888888888863490893732L,
+C3 = 0.00002480158730158730158730158600795304914210L,
+C4 = -0.2755731922398589065255474947078934284324e-6L,
+C5 = 0.2087675698786809897659225313136400793948e-8L,
+C6 = -0.1147074559772972315817149986812031204775e-10L,
+C7 = 0.4779477332386808976875457937252120293400e-13L,
+S1 = -0.16666666666666666666666666666666666606732416116558L,
+S2 = 0.0083333333333333333333333333333331135404851288270047L,
+S3 = -0.00019841269841269841269841269839935785325638310428717L,
+S4 = 0.27557319223985890652557316053039946268333231205686e-5L,
+S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
+S6 = 0.16059043836821614596571832194524392581082444805729e-9L,
+S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
+S8 = 0.28114572543451292625024967174638477283187397621303e-14L;
+
+static const double
+C8 = -0.1561920696721507929516718307820958119868e-15,
+C9 = 0.4110317413744594971475941557607804508039e-18,
+C10 = -0.8896592467191938803288521958313920156409e-21,
+C11 = 0.1601061435794535138244346256065192782581e-23,
+S9 = -0.82206352458348947812512122163446202498005154296863e-17,
+S10 = 0.19572940011906109418080609928334380560135358385256e-19,
+S11 = -0.38680813379701966970673724299207480965452616911420e-22,
+S12 = 0.64038150078671872796678569586315881020659912139412e-25;
+
+static inline void
+__kernel_sincosl(long double x, long double y, int iy, long double *sn,
+ long double *cs)
+{
+ long double hz, r, v, w, z;
+
+ z = x * x;
+ v = z * x;
+ /*
+ * XXX Replace Horner scheme with an algorithm suitable for CPUs
+ * with more complex pipelines.
+ */
+ r = S2 + z * (S3 + z * (S4 + z * (S5 + z * (S6 + z * (S7 + z * (S8 +
+ z * (S9 + z * (S10 + z * (S11 + z * S12)))))))));
+
+ if (iy == 0)
+ *sn = x + v * (S1 + z * r);
+ else
+ *cs = x - ((z * (y / 2 - v * r) - y) - v * S1);
+
+ hz = z / 2;
+ w = 1 - hz;
+ r = z * (C1 + z * (C2 + z * (C3 + z * (C4 + z * (C5 + z * (C6 +
+ z * (C7 + z * (C8 + z * (C9 + z * (C10 + z * C11))))))))));
+
+ *cs = w + (((1 - w) - hz) + (z * r - x * y));
+}
+#else
+#error "Unsupported long double format"
+#endif