1 files changed, 150 insertions, 0 deletions
diff --git a/libm/ldouble/sinhl.c b/libm/ldouble/sinhl.c
new file mode 100644
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+++ b/libm/ldouble/sinhl.c
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+/*							sinhl.c
+ *
+ *	Hyperbolic sine, long double precision
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * long double x, y, sinhl();
+ *
+ * y = sinhl( x );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Returns hyperbolic sine of argument in the range MINLOGL to
+ * MAXLOGL.
+ *
+ * The range is partitioned into two segments.  If |x| <= 1, a
+ * rational function of the form x + x**3 P(x)/Q(x) is employed.
+ * Otherwise the calculation is sinh(x) = ( exp(x) - exp(-x) )/2.
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ *                      Relative error:
+ * arithmetic   domain     # trials      peak         rms
+ *    IEEE       -2,2       10000       1.5e-19     3.9e-20
+ *    IEEE     +-10000      30000       1.1e-19     2.8e-20
+ *
+ */
+
+/*
+Cephes Math Library Release 2.7:  January, 1998
+Copyright 1984, 1991, 1998 by Stephen L. Moshier
+*/
+
+#include <math.h>
+
+#ifdef UNK
+static long double P[] = {
+ 1.7550769032975377032681E-6L,
+ 4.1680702175874268714539E-4L,
+ 3.0993532520425419002409E-2L,
+ 9.9999999999999999998002E-1L,
+};
+static long double Q[] = {
+ 1.7453965448620151484660E-8L,
+-5.9116673682651952419571E-6L,
+ 1.0599252315677389339530E-3L,
+-1.1403880487744749056675E-1L,
+ 6.0000000000000000000200E0L,
+};
+#endif
+
+#ifdef IBMPC
+static short P[] = {
+0xec6a,0xd942,0xfbb3,0xeb8f,0x3feb, XPD
+0x365e,0xb30a,0xe437,0xda86,0x3ff3, XPD
+0x8890,0x01f6,0x2612,0xfde6,0x3ff9, XPD
+0x0000,0x0000,0x0000,0x8000,0x3fff, XPD
+};
+static short Q[] = {
+0x4edd,0x4c21,0xad09,0x95ed,0x3fe5, XPD
+0x4376,0x9b70,0xd605,0xc65c,0xbfed, XPD
+0xc8ad,0x5d21,0x3069,0x8aed,0x3ff5, XPD
+0x9c32,0x6374,0x2d4b,0xe98d,0xbffb, XPD
+0x0000,0x0000,0x0000,0xc000,0x4001, XPD
+};
+#endif
+
+#ifdef MIEEE
+static long P[] = {
+0x3feb0000,0xeb8ffbb3,0xd942ec6a,
+0x3ff30000,0xda86e437,0xb30a365e,
+0x3ff90000,0xfde62612,0x01f68890,
+0x3fff0000,0x80000000,0x00000000,
+};
+static long Q[] = {
+0x3fe50000,0x95edad09,0x4c214edd,
+0xbfed0000,0xc65cd605,0x9b704376,
+0x3ff50000,0x8aed3069,0x5d21c8ad,
+0xbffb0000,0xe98d2d4b,0x63749c32,
+0x40010000,0xc0000000,0x00000000,
+};
+#endif
+
+extern long double MAXNUML, MAXLOGL, MINLOGL, LOGE2L;
+#ifdef ANSIPROT
+extern long double fabsl ( long double );
+extern long double expl ( long double );
+extern long double polevll ( long double, void *, int );
+extern long double p1evll ( long double, void *, int );
+#else
+long double fabsl(), expl(), polevll(), p1evll();
+#endif
+#ifdef INFINITIES
+extern long double INFINITYL;
+#endif
+#ifdef NANS
+extern long double NANL;
+#endif
+
+long double sinhl(x)
+long double x;
+{
+long double a;
+
+#ifdef MINUSZERO
+if( x == 0.0 )
+	return(x);
+#endif
+a = fabsl(x);
+if( (x > (MAXLOGL + LOGE2L)) || (x > -(MINLOGL-LOGE2L) ) )
+	{
+	mtherr( "sinhl", DOMAIN );
+#ifdef INFINITIES
+	if( x > 0.0L )
+		return( INFINITYL );
+	else
+		return( -INFINITYL );
+#else
+	if( x > 0.0L )
+		return( MAXNUML );
+	else
+		return( -MAXNUML );
+#endif
+	}
+if( a > 1.0L )
+	{
+	if( a >= (MAXLOGL - LOGE2L) )
+		{
+		a = expl(0.5L*a);
+		a = (0.5L * a) * a;
+		if( x < 0.0L )
+			a = -a;
+		return(a);
+		}
+	a = expl(a);
+	a = 0.5L*a - (0.5L/a);
+	if( x < 0.0L )
+		a = -a;
+	return(a);
+	}
+
+a *= a;
+return( x + x * a * (polevll(a,P,3)/polevll(a,Q,4)) );
+}