Totally rework the math library, this time based on the MacOs X

math library (which is itself based on the math lib from FreeBSD).
 -Erik

1 files changed, 0 insertions, 220 deletions

diff --git a/libm/ldouble/igaml.c b/libm/ldouble/igaml.c
deleted file mode 100644
index 0e59c5404..000000000
--- a/libm/ldouble/igaml.c
+++ /dev/null
@@ -1,220 +0,0 @@
-/*							igaml.c
- *
- *	Incomplete gamma integral
- *
- *
- *
- * SYNOPSIS:
- *
- * long double a, x, y, igaml();
- *
- * y = igaml( a, x );
- *
- *
- *
- * DESCRIPTION:
- *
- * The function is defined by
- *
- *                           x
- *                            -
- *                   1       | |  -t  a-1
- *  igam(a,x)  =   -----     |   e   t   dt.
- *                  -      | |
- *                 | (a)    -
- *                           0
- *
- *
- * In this implementation both arguments must be positive.
- * The integral is evaluated by either a power series or
- * continued fraction expansion, depending on the relative
- * values of a and x.
- *
- *
- *
- * ACCURACY:
- *
- *                      Relative error:
- * arithmetic   domain     # trials      peak         rms
- *    DEC       0,30         4000       4.4e-15     6.3e-16
- *    IEEE      0,30        10000       3.6e-14     5.1e-15
- *
- */
-/*							igamcl()
- *
- *	Complemented incomplete gamma integral
- *
- *
- *
- * SYNOPSIS:
- *
- * long double a, x, y, igamcl();
- *
- * y = igamcl( a, x );
- *
- *
- *
- * DESCRIPTION:
- *
- * The function is defined by
- *
- *
- *  igamc(a,x)   =   1 - igam(a,x)
- *
- *                            inf.
- *                              -
- *                     1       | |  -t  a-1
- *               =   -----     |   e   t   dt.
- *                    -      | |
- *                   | (a)    -
- *                             x
- *
- *
- * In this implementation both arguments must be positive.
- * The integral is evaluated by either a power series or
- * continued fraction expansion, depending on the relative
- * values of a and x.
- *
- *
- *
- * ACCURACY:
- *
- *                      Relative error:
- * arithmetic   domain     # trials      peak         rms
- *    DEC       0,30         2000       2.7e-15     4.0e-16
- *    IEEE      0,30        60000       1.4e-12     6.3e-15
- *
- */
-
-/*
-Cephes Math Library Release 2.3:  March, 1995
-Copyright 1985, 1995 by Stephen L. Moshier
-*/
-
-#include <math.h>
-#ifdef ANSIPROT
-extern long double lgaml ( long double );
-extern long double expl ( long double );
-extern long double logl ( long double );
-extern long double fabsl ( long double );
-extern long double gammal ( long double );
-long double igaml ( long double, long double );
-long double igamcl ( long double, long double );
-#else
-long double lgaml(), expl(), logl(), fabsl(), igaml(), gammal();
-long double igamcl();
-#endif
-
-#define BIG 9.223372036854775808e18L
-#define MAXGAML 1755.455L
-extern long double MACHEPL, MINLOGL;
-
-long double igamcl( a, x )
-long double a, x;
-{
-long double ans, c, yc, ax, y, z, r, t;
-long double pk, pkm1, pkm2, qk, qkm1, qkm2;
-
-if( (x <= 0.0L) || ( a <= 0.0L) )
-	return( 1.0L );
-
-if( (x < 1.0L) || (x < a) )
-	return( 1.0L - igaml(a,x) );
-
-ax = a * logl(x) - x - lgaml(a);
-if( ax < MINLOGL )
-	{
-	mtherr( "igamcl", UNDERFLOW );
-	return( 0.0L );
-	}
-ax = expl(ax);
-
-/* continued fraction */
-y = 1.0L - a;
-z = x + y + 1.0L;
-c = 0.0L;
-pkm2 = 1.0L;
-qkm2 = x;
-pkm1 = x + 1.0L;
-qkm1 = z * x;
-ans = pkm1/qkm1;
-
-do
-	{
-	c += 1.0L;
-	y += 1.0L;
-	z += 2.0L;
-	yc = y * c;
-	pk = pkm1 * z  -  pkm2 * yc;
-	qk = qkm1 * z  -  qkm2 * yc;
-	if( qk != 0.0L )
-		{
-		r = pk/qk;
-		t = fabsl( (ans - r)/r );
-		ans = r;
-		}
-	else
-		t = 1.0L;
-	pkm2 = pkm1;
-	pkm1 = pk;
-	qkm2 = qkm1;
-	qkm1 = qk;
-	if( fabsl(pk) > BIG )
-		{
-		pkm2 /= BIG;
-		pkm1 /= BIG;
-		qkm2 /= BIG;
-		qkm1 /= BIG;
-		}
-	}
-while( t > MACHEPL );
-
-return( ans * ax );
-}
-
-
-
-/* left tail of incomplete gamma function:
- *
- *          inf.      k
- *   a  -x   -       x
- *  x  e     >   ----------
- *           -     -
- *          k=0   | (a+k+1)
- *
- */
-
-long double igaml( a, x )
-long double a, x;
-{
-long double ans, ax, c, r;
-
-if( (x <= 0.0L) || ( a <= 0.0L) )
-	return( 0.0L );
-
-if( (x > 1.0L) && (x > a ) )
-	return( 1.0L - igamcl(a,x) );
-
-ax = a * logl(x) - x - lgaml(a);
-if( ax < MINLOGL )
-	{
-	mtherr( "igaml", UNDERFLOW );
-	return( 0.0L );
-	}
-ax = expl(ax);
-
-/* power series */
-r = a;
-c = 1.0L;
-ans = 1.0L;
-
-do
-	{
-	r += 1.0L;
-	c *= x/r;
-	ans += c;
-	}
-while( c/ans > MACHEPL );
-
-return( ans * ax/a );
-}