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-rw-r--r--libm/ldouble/acoshl.c167
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diff --git a/libm/ldouble/acoshl.c b/libm/ldouble/acoshl.c
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--- a/libm/ldouble/acoshl.c
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-/* acoshl.c
- *
- * Inverse hyperbolic cosine, long double precision
- *
- *
- *
- * SYNOPSIS:
- *
- * long double x, y, acoshl();
- *
- * y = acoshl( x );
- *
- *
- *
- * DESCRIPTION:
- *
- * Returns inverse hyperbolic cosine of argument.
- *
- * If 1 <= x < 1.5, a rational approximation
- *
- * sqrt(2z) * P(z)/Q(z)
- *
- * where z = x-1, is used. Otherwise,
- *
- * acosh(x) = log( x + sqrt( (x-1)(x+1) ).
- *
- *
- *
- * ACCURACY:
- *
- * Relative error:
- * arithmetic domain # trials peak rms
- * IEEE 1,3 30000 2.0e-19 3.9e-20
- *
- *
- * ERROR MESSAGES:
- *
- * message condition value returned
- * acoshl domain |x| < 1 0.0
- *
- */
-
-/* acosh.c */
-
-/*
-Cephes Math Library Release 2.7: May, 1998
-Copyright 1984, 1991, 1998 by Stephen L. Moshier
-*/
-
-
-/* acosh(1+x) = sqrt(2x) * R(x), interval 0 < x < 0.5 */
-
-#include <math.h>
-
-#ifdef UNK
-static long double P[] = {
- 2.9071989653343333587238E-5L,
- 3.2906030801088967279449E-3L,
- 6.3034445964862182128388E-2L,
- 4.1587081802731351459504E-1L,
- 1.0989714347599256302467E0L,
- 9.9999999999999999999715E-1L,
-};
-static long double Q[] = {
- 1.0443462486787584738322E-4L,
- 6.0085845375571145826908E-3L,
- 8.7750439986662958343370E-2L,
- 4.9564621536841869854584E-1L,
- 1.1823047680932589605190E0L,
- 1.0000000000000000000028E0L,
-};
-#endif
-
-
-#ifdef IBMPC
-static unsigned short P[] = {
-0x4536,0x4dba,0x9f55,0xf3df,0x3fef, XPD
-0x23a5,0xf9aa,0x289c,0xd7a7,0x3ff6, XPD
-0x7e8b,0x8645,0x341f,0x8118,0x3ffb, XPD
-0x0fd5,0x937f,0x0515,0xd4ed,0x3ffd, XPD
-0x2364,0xc41b,0x1891,0x8cab,0x3fff, XPD
-0x0000,0x0000,0x0000,0x8000,0x3fff, XPD
-};
-static short Q[] = {
-0x1e7c,0x4f16,0xe98c,0xdb03,0x3ff1, XPD
-0xc319,0xc272,0xa90a,0xc4e3,0x3ff7, XPD
-0x2f83,0x9e5e,0x80af,0xb3b6,0x3ffb, XPD
-0xe1e0,0xc97c,0x573a,0xfdc5,0x3ffd, XPD
-0xcdf2,0x6ec5,0xc33c,0x9755,0x3fff, XPD
-0x0000,0x0000,0x0000,0x8000,0x3fff, XPD
-};
-#endif
-
-#ifdef MIEEE
-static long P[] = {
-0x3fef0000,0xf3df9f55,0x4dba4536,
-0x3ff60000,0xd7a7289c,0xf9aa23a5,
-0x3ffb0000,0x8118341f,0x86457e8b,
-0x3ffd0000,0xd4ed0515,0x937f0fd5,
-0x3fff0000,0x8cab1891,0xc41b2364,
-0x3fff0000,0x80000000,0x00000000,
-};
-static long Q[] = {
-0x3ff10000,0xdb03e98c,0x4f161e7c,
-0x3ff70000,0xc4e3a90a,0xc272c319,
-0x3ffb0000,0xb3b680af,0x9e5e2f83,
-0x3ffd0000,0xfdc5573a,0xc97ce1e0,
-0x3fff0000,0x9755c33c,0x6ec5cdf2,
-0x3fff0000,0x80000000,0x00000000,
-};
-#endif
-
-extern long double LOGE2L;
-#ifdef INFINITIES
-extern long double INFINITYL;
-#endif
-#ifdef NANS
-extern long double NANL;
-#endif
-#ifdef ANSIPROT
-extern long double logl ( long double );
-extern long double sqrtl ( long double );
-extern long double polevll ( long double, void *, int );
-extern int isnanl ( long double );
-#else
-long double logl(), sqrtl(), polevll(), isnanl();
-#endif
-
-long double acoshl(x)
-long double x;
-{
-long double a, z;
-
-#ifdef NANS
-if( isnanl(x) )
- return(x);
-#endif
-if( x < 1.0L )
- {
- mtherr( "acoshl", DOMAIN );
-#ifdef NANS
- return(NANL);
-#else
- return(0.0L);
-#endif
- }
-
-if( x > 1.0e10 )
- {
-#ifdef INFINITIES
- if( x == INFINITYL )
- return( INFINITYL );
-#endif
- return( logl(x) + LOGE2L );
- }
-
-z = x - 1.0L;
-
-if( z < 0.5L )
- {
- a = sqrtl(2.0L*z) * (polevll(z, P, 5) / polevll(z, Q, 5) );
- return( a );
- }
-
-a = sqrtl( z*(x+1.0L) );
-return( logl(x + a) );
-}