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Diffstat (limited to 'newlib/libm/ld128/k_cosl.c')
-rw-r--r--newlib/libm/ld128/k_cosl.c59
1 files changed, 59 insertions, 0 deletions
diff --git a/newlib/libm/ld128/k_cosl.c b/newlib/libm/ld128/k_cosl.c
new file mode 100644
index 000000000..680787307
--- /dev/null
+++ b/newlib/libm/ld128/k_cosl.c
@@ -0,0 +1,59 @@
+/* From: @(#)k_cos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * 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.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * ld128 version of k_cos.c. See ../src/k_cos.c for most comments.
+ */
+
+#include "math_private.h"
+
+/*
+ * Domain [-0.7854, 0.7854], range ~[-1.17e-39, 1.19e-39]:
+ * |cos(x) - c(x))| < 2**-129.3
+ *
+ * 113-bit precision requires more care than 64-bit precision, since
+ * simple methods give a minimax polynomial with coefficient for x^2
+ * that is 1 ulp below 0.5, but we want it to be precisely 0.5. See
+ * ../ld80/k_cosl.c for more details.
+ */
+static const double
+one = 1.0;
+static const long double
+C1 = 4.16666666666666666666666666666666667e-02L,
+C2 = -1.38888888888888888888888888888888834e-03L,
+C3 = 2.48015873015873015873015873015446795e-05L,
+C4 = -2.75573192239858906525573190949988493e-07L,
+C5 = 2.08767569878680989792098886701451072e-09L,
+C6 = -1.14707455977297247136657111139971865e-11L,
+C7 = 4.77947733238738518870113294139830239e-14L,
+C8 = -1.56192069685858079920640872925306403e-16L,
+C9 = 4.11031762320473354032038893429515732e-19L,
+C10= -8.89679121027589608738005163931958096e-22L,
+C11= 1.61171797801314301767074036661901531e-24L,
+C12= -2.46748624357670948912574279501044295e-27L;
+
+long double
+__kernel_cosl(long double x, long double y)
+{
+ long double hz,z,r,w;
+
+ z = x*x;
+ r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*(C6+z*(C7+
+ z*(C8+z*(C9+z*(C10+z*(C11+z*C12)))))))))));
+ hz = 0.5*z;
+ w = one-hz;
+ return w + (((one-w)-hz) + (z*r-x*y));
+}