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Diffstat (limited to 'newlib/libm/ld/s_tanl.c')
-rw-r--r--newlib/libm/ld/s_tanl.c97
1 files changed, 97 insertions, 0 deletions
diff --git a/newlib/libm/ld/s_tanl.c b/newlib/libm/ld/s_tanl.c
new file mode 100644
index 000000000..0c5228ec8
--- /dev/null
+++ b/newlib/libm/ld/s_tanl.c
@@ -0,0 +1,97 @@
+/*-
+ * SPDX-License-Identifier: BSD-2-Clause-FreeBSD
+ *
+ * Copyright (c) 2007 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.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * Limited testing on pseudorandom numbers drawn within [0:4e8] shows
+ * an accuracy of <= 1.5 ULP where 247024 values of x out of 40 million
+ * possibles resulted in tan(x) that exceeded 0.5 ULP (ie., 0.6%).
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#if LDBL_MANT_DIG == 64
+#include "../ld80/e_rem_pio2l.h"
+#elif LDBL_MANT_DIG == 113
+#include "../ld128/e_rem_pio2l.h"
+#else
+#error "Unsupported long double format"
+#endif
+
+long double
+tanl(long double x)
+{
+ union IEEEl2bits z;
+ int e0, s;
+ long double y[2];
+ long double hi, lo;
+
+ z.e = x;
+ s = z.bits.sign;
+ z.bits.sign = 0;
+
+ /* If x = +-0 or x is subnormal, then tan(x) = x. */
+ if (z.bits.exp == 0)
+ return (x);
+
+ /* If x = NaN or Inf, then tan(x) = NaN. */
+ if (z.bits.exp == 32767)
+ return ((x - x) / (x - x));
+
+ ENTERI();
+
+ /* Optimize the case where x is already within range. */
+ if (z.e < M_PI_4) {
+ hi = __kernel_tanl(z.e, 0, 0);
+ RETURNI(s ? -hi : hi);
+ }
+
+ e0 = __ieee754_rem_pio2l(x, y);
+ hi = y[0];
+ lo = y[1];
+
+ switch (e0 & 3) {
+ case 0:
+ case 2:
+ hi = __kernel_tanl(hi, lo, 0);
+ break;
+ case 1:
+ case 3:
+ hi = __kernel_tanl(hi, lo, 1);
+ break;
+ }
+
+ RETURNI(hi);
+}