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, 225 deletions

diff --git a/libm/ldouble/stdtrl.c b/libm/ldouble/stdtrl.c
deleted file mode 100644
index 4218d4133..000000000
--- a/libm/ldouble/stdtrl.c
+++ /dev/null
@@ -1,225 +0,0 @@
-/*							stdtrl.c
- *
- *	Student's t distribution
- *
- *
- *
- * SYNOPSIS:
- *
- * long double p, t, stdtrl();
- * int k;
- *
- * p = stdtrl( k, t );
- *
- *
- * DESCRIPTION:
- *
- * Computes the integral from minus infinity to t of the Student
- * t distribution with integer k > 0 degrees of freedom:
- *
- *                                      t
- *                                      -
- *                                     | |
- *              -                      |         2   -(k+1)/2
- *             | ( (k+1)/2 )           |  (     x   )
- *       ----------------------        |  ( 1 + --- )        dx
- *                     -               |  (      k  )
- *       sqrt( k pi ) | ( k/2 )        |
- *                                   | |
- *                                    -
- *                                   -inf.
- * 
- * Relation to incomplete beta integral:
- *
- *        1 - stdtr(k,t) = 0.5 * incbet( k/2, 1/2, z )
- * where
- *        z = k/(k + t**2).
- *
- * For t < -1.6, this is the method of computation.  For higher t,
- * a direct method is derived from integration by parts.
- * Since the function is symmetric about t=0, the area under the
- * right tail of the density is found by calling the function
- * with -t instead of t.
- * 
- * ACCURACY:
- *
- * Tested at random 1 <= k <= 100.  The "domain" refers to t.
- *                      Relative error:
- * arithmetic   domain     # trials      peak         rms
- *    IEEE     -100,-1.6    10000       5.7e-18     9.8e-19
- *    IEEE     -1.6,100     10000       3.8e-18     1.0e-19
- */
-
-/*							stdtril.c
- *
- *	Functional inverse of Student's t distribution
- *
- *
- *
- * SYNOPSIS:
- *
- * long double p, t, stdtril();
- * int k;
- *
- * t = stdtril( k, p );
- *
- *
- * DESCRIPTION:
- *
- * Given probability p, finds the argument t such that stdtrl(k,t)
- * is equal to p.
- * 
- * ACCURACY:
- *
- * Tested at random 1 <= k <= 100.  The "domain" refers to p:
- *                      Relative error:
- * arithmetic   domain     # trials      peak         rms
- *    IEEE       0,1        3500       4.2e-17     4.1e-18
- */
-
-
-/*
-Cephes Math Library Release 2.3:  January, 1995
-Copyright 1984, 1995 by Stephen L. Moshier
-*/
-
-#include <math.h>
-
-extern long double PIL, MACHEPL, MAXNUML;
-#ifdef ANSIPROT
-extern long double sqrtl ( long double );
-extern long double atanl ( long double );
-extern long double incbetl ( long double, long double, long double );
-extern long double incbil ( long double, long double, long double );
-extern long double fabsl ( long double );
-#else
-long double sqrtl(), atanl(), incbetl(), incbil(), fabsl();
-#endif
-
-long double stdtrl( k, t )
-int k;
-long double t;
-{
-long double x, rk, z, f, tz, p, xsqk;
-int j;
-
-if( k <= 0 )
-	{
-	mtherr( "stdtrl", DOMAIN );
-	return(0.0L);
-	}
-
-if( t == 0.0L )
-	return( 0.5L );
-
-if( t < -1.6L )
-	{
-	rk = k;
-	z = rk / (rk + t * t);
-	p = 0.5L * incbetl( 0.5L*rk, 0.5L, z );
-	return( p );
-	}
-
-/*	compute integral from -t to + t */
-
-if( t < 0.0L )
-	x = -t;
-else
-	x = t;
-
-rk = k;	/* degrees of freedom */
-z = 1.0L + ( x * x )/rk;
-
-/* test if k is odd or even */
-if( (k & 1) != 0)
-	{
-
-	/*	computation for odd k	*/
-
-	xsqk = x/sqrtl(rk);
-	p = atanl( xsqk );
-	if( k > 1 )
-		{
-		f = 1.0L;
-		tz = 1.0L;
-		j = 3;
-		while(  (j<=(k-2)) && ( (tz/f) > MACHEPL )  )
-			{
-			tz *= (j-1)/( z * j );
-			f += tz;
-			j += 2;
-			}
-		p += f * xsqk/z;
-		}
-	p *= 2.0L/PIL;
-	}
-
-
-else
-	{
-
-	/*	computation for even k	*/
-
-	f = 1.0L;
-	tz = 1.0L;
-	j = 2;
-
-	while(  ( j <= (k-2) ) && ( (tz/f) > MACHEPL )  )
-		{
-		tz *= (j - 1)/( z * j );
-		f += tz;
-		j += 2;
-		}
-	p = f * x/sqrtl(z*rk);
-	}
-
-/*	common exit	*/
-
-
-if( t < 0.0L )
-	p = -p;	/* note destruction of relative accuracy */
-
-	p = 0.5L + 0.5L * p;
-return(p);
-}
-
-
-long double stdtril( k, p )
-int k;
-long double p;
-{
-long double t, rk, z;
-int rflg;
-
-if( k <= 0 || p <= 0.0L || p >= 1.0L )
-	{
-	mtherr( "stdtril", DOMAIN );
-	return(0.0L);
-	}
-
-rk = k;
-
-if( p > 0.25L && p < 0.75L )
-	{
-	if( p == 0.5L )
-		return( 0.0L );
-	z = 1.0L - 2.0L * p;
-	z = incbil( 0.5L, 0.5L*rk, fabsl(z) );
-	t = sqrtl( rk*z/(1.0L-z) );
-	if( p < 0.5L )
-		t = -t;
-	return( t );
-	}
-rflg = -1;
-if( p >= 0.5L)
-	{
-	p = 1.0L - p;
-	rflg = 1;
-	}
-z = incbil( 0.5L*rk, 0.5L, 2.0L*p );
-
-if( MAXNUML * z < rk )
-	return(rflg* MAXNUML);
-t = sqrtl( rk/z - rk );
-return( rflg * t );
-}