summaryrefslogtreecommitdiffstats
path: root/modules/fdlibm/src/e_sinh.cpp
diff options
context:
space:
mode:
authorMatt A. Tobin <mattatobin@localhost.localdomain>2018-02-02 04:16:08 -0500
committerMatt A. Tobin <mattatobin@localhost.localdomain>2018-02-02 04:16:08 -0500
commit5f8de423f190bbb79a62f804151bc24824fa32d8 (patch)
tree10027f336435511475e392454359edea8e25895d /modules/fdlibm/src/e_sinh.cpp
parent49ee0794b5d912db1f95dce6eb52d781dc210db5 (diff)
downloadUXP-5f8de423f190bbb79a62f804151bc24824fa32d8.tar
UXP-5f8de423f190bbb79a62f804151bc24824fa32d8.tar.gz
UXP-5f8de423f190bbb79a62f804151bc24824fa32d8.tar.lz
UXP-5f8de423f190bbb79a62f804151bc24824fa32d8.tar.xz
UXP-5f8de423f190bbb79a62f804151bc24824fa32d8.zip
Add m-esr52 at 52.6.0
Diffstat (limited to 'modules/fdlibm/src/e_sinh.cpp')
-rw-r--r--modules/fdlibm/src/e_sinh.cpp74
1 files changed, 74 insertions, 0 deletions
diff --git a/modules/fdlibm/src/e_sinh.cpp b/modules/fdlibm/src/e_sinh.cpp
new file mode 100644
index 000000000..c3418e687
--- /dev/null
+++ b/modules/fdlibm/src/e_sinh.cpp
@@ -0,0 +1,74 @@
+
+/* @(#)e_sinh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * 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("$FreeBSD$");
+
+/* __ieee754_sinh(x)
+ * Method :
+ * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
+ * 1. Replace x by |x| (sinh(-x) = -sinh(x)).
+ * 2.
+ * E + E/(E+1)
+ * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x)
+ * 2
+ *
+ * 22 <= x <= lnovft : sinh(x) := exp(x)/2
+ * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2)
+ * ln2ovft < x : sinh(x) := x*shuge (overflow)
+ *
+ * Special cases:
+ * sinh(x) is |x| if x is +INF, -INF, or NaN.
+ * only sinh(0)=0 is exact for finite x.
+ */
+
+#include <float.h>
+
+#include "math_private.h"
+
+static const double one = 1.0, shuge = 1.0e307;
+
+double
+__ieee754_sinh(double x)
+{
+ double t,h;
+ int32_t ix,jx;
+
+ /* High word of |x|. */
+ GET_HIGH_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) return x+x;
+
+ h = 0.5;
+ if (jx<0) h = -h;
+ /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x40360000) { /* |x|<22 */
+ if (ix<0x3e300000) /* |x|<2**-28 */
+ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+ t = expm1(fabs(x));
+ if(ix<0x3ff00000) return h*(2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x40862E42) return h*__ieee754_exp(fabs(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ix<=0x408633CE)
+ return h*2.0*__ldexp_exp(fabs(x), -1);
+
+ /* |x| > overflowthresold, sinh(x) overflow */
+ return x*shuge;
+}