/*							sinh.c * *	Hyperbolic sine * * * * SYNOPSIS: * * double x, y, sinh(); * * y = sinh( x ); * * * * DESCRIPTION: * * Returns hyperbolic sine of argument in the range MINLOG to * MAXLOG. * * 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 *    DEC      +- 88        50000       4.0e-17     7.7e-18 *    IEEE     +-MAXLOG     30000       2.6e-16     5.7e-17 * *//*Cephes Math Library Release 2.8:  June, 2000Copyright 1984, 1995, 2000 by Stephen L. Moshier*/#include <math.h>#ifdef UNKstatic double P[] = {-7.89474443963537015605E-1,-1.63725857525983828727E2,-1.15614435765005216044E4,-3.51754964808151394800E5};static double Q[] = {/* 1.00000000000000000000E0,*/-2.77711081420602794433E2, 3.61578279834431989373E4,-2.11052978884890840399E6};#endif#ifdef DECstatic unsigned short P[] = {0140112,0015377,0042731,0163255,0142043,0134721,0146177,0123761,0143464,0122706,0034353,0006017,0144653,0140536,0157665,0054045};static unsigned short Q[] = {/*0040200,0000000,0000000,0000000,*/0142212,0155404,0133513,0022040,0044015,0036723,0173271,0011053,0145400,0150407,0023710,0001034};#endif#ifdef IBMPCstatic unsigned short P[] = {0x3cd6,0xe8bb,0x435f,0xbfe9,0xf4fe,0x398f,0x773a,0xc064,0x6182,0xc71d,0x94b8,0xc0c6,0xab05,0xdbf6,0x782b,0xc115};static unsigned short Q[] = {/*0x0000,0x0000,0x0000,0x3ff0,*/0x6484,0x96e9,0x5b60,0xc071,0x2245,0x7ed7,0xa7ba,0x40e1,0x0044,0xe4f9,0x1a20,0xc140};#endif#ifdef MIEEEstatic unsigned short P[] = {0xbfe9,0x435f,0xe8bb,0x3cd6,0xc064,0x773a,0x398f,0xf4fe,0xc0c6,0x94b8,0xc71d,0x6182,0xc115,0x782b,0xdbf6,0xab05};static unsigned short Q[] = {0xc071,0x5b60,0x96e9,0x6484,0x40e1,0xa7ba,0x7ed7,0x2245,0xc140,0x1a20,0xe4f9,0x0044};#endif#ifdef ANSIPROTextern double fabs ( double );extern double exp ( double );extern double polevl ( double, void *, int );extern double p1evl ( double, void *, int );#elsedouble fabs(), exp(), polevl(), p1evl();#endifextern double INFINITY, MINLOG, MAXLOG, LOGE2;double sinh(x)double x;{double a;#ifdef MINUSZEROif( x == 0.0 )	return(x);#endifa = fabs(x);if( (x > (MAXLOG + LOGE2)) || (x > -(MINLOG-LOGE2) ) )	{	mtherr( "sinh", DOMAIN );	if( x > 0 )		return( INFINITY );	else		return( -INFINITY );	}if( a > 1.0 )	{	if( a >= (MAXLOG - LOGE2) )		{		a = exp(0.5*a);		a = (0.5 * a) * a;		if( x < 0 )			a = -a;		return(a);		}	a = exp(a);	a = 0.5*a - (0.5/a);	if( x < 0 )		a = -a;	return(a);	}a *= a;return( x + x * a * (polevl(a,P,3)/p1evl(a,Q,3)) );}