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, 201 deletions

diff --git a/libm/double/psi.c b/libm/double/psi.c
deleted file mode 100644
index 6da2aa0c2..000000000
--- a/libm/double/psi.c
+++ /dev/null
@@ -1,201 +0,0 @@
-/*							psi.c
- *
- *	Psi (digamma) function
- *
- *
- * SYNOPSIS:
- *
- * double x, y, psi();
- *
- * y = psi( x );
- *
- *
- * DESCRIPTION:
- *
- *              d      -
- *   psi(x)  =  -- ln | (x)
- *              dx
- *
- * is the logarithmic derivative of the gamma function.
- * For integer x,
- *                   n-1
- *                    -
- * psi(n) = -EUL  +   >  1/k.
- *                    -
- *                   k=1
- *
- * This formula is used for 0 < n <= 10.  If x is negative, it
- * is transformed to a positive argument by the reflection
- * formula  psi(1-x) = psi(x) + pi cot(pi x).
- * For general positive x, the argument is made greater than 10
- * using the recurrence  psi(x+1) = psi(x) + 1/x.
- * Then the following asymptotic expansion is applied:
- *
- *                           inf.   B
- *                            -      2k
- * psi(x) = log(x) - 1/2x -   >   -------
- *                            -        2k
- *                           k=1   2k x
- *
- * where the B2k are Bernoulli numbers.
- *
- * ACCURACY:
- *    Relative error (except absolute when |psi| < 1):
- * arithmetic   domain     # trials      peak         rms
- *    DEC       0,30         2500       1.7e-16     2.0e-17
- *    IEEE      0,30        30000       1.3e-15     1.4e-16
- *    IEEE      -30,0       40000       1.5e-15     2.2e-16
- *
- * ERROR MESSAGES:
- *     message         condition      value returned
- * psi singularity    x integer <=0      MAXNUM
- */
-
-/*
-Cephes Math Library Release 2.8:  June, 2000
-Copyright 1984, 1987, 1992, 2000 by Stephen L. Moshier
-*/
-
-#include <math.h>
-
-#ifdef UNK
-static double A[] = {
- 8.33333333333333333333E-2,
--2.10927960927960927961E-2,
- 7.57575757575757575758E-3,
--4.16666666666666666667E-3,
- 3.96825396825396825397E-3,
--8.33333333333333333333E-3,
- 8.33333333333333333333E-2
-};
-#endif
-
-#ifdef DEC
-static unsigned short A[] = {
-0037252,0125252,0125252,0125253,
-0136654,0145314,0126312,0146255,
-0036370,0037017,0101740,0174076,
-0136210,0104210,0104210,0104211,
-0036202,0004040,0101010,0020202,
-0136410,0104210,0104210,0104211,
-0037252,0125252,0125252,0125253
-};
-#endif
-
-#ifdef IBMPC
-static unsigned short A[] = {
-0x5555,0x5555,0x5555,0x3fb5,
-0x5996,0x9599,0x9959,0xbf95,
-0x1f08,0xf07c,0x07c1,0x3f7f,
-0x1111,0x1111,0x1111,0xbf71,
-0x0410,0x1041,0x4104,0x3f70,
-0x1111,0x1111,0x1111,0xbf81,
-0x5555,0x5555,0x5555,0x3fb5
-};
-#endif
-
-#ifdef MIEEE
-static unsigned short A[] = {
-0x3fb5,0x5555,0x5555,0x5555,
-0xbf95,0x9959,0x9599,0x5996,
-0x3f7f,0x07c1,0xf07c,0x1f08,
-0xbf71,0x1111,0x1111,0x1111,
-0x3f70,0x4104,0x1041,0x0410,
-0xbf81,0x1111,0x1111,0x1111,
-0x3fb5,0x5555,0x5555,0x5555
-};
-#endif
-
-#define EUL 0.57721566490153286061
-
-#ifdef ANSIPROT
-extern double floor ( double );
-extern double log ( double );
-extern double tan ( double );
-extern double polevl ( double, void *, int );
-#else
-double floor(), log(), tan(), polevl();
-#endif
-extern double PI, MAXNUM;
-
-
-double psi(x)
-double x;
-{
-double p, q, nz, s, w, y, z;
-int i, n, negative;
-
-negative = 0;
-nz = 0.0;
-
-if( x <= 0.0 )
-	{
-	negative = 1;
-	q = x;
-	p = floor(q);
-	if( p == q )
-		{
-		mtherr( "psi", SING );
-		return( MAXNUM );
-		}
-/* Remove the zeros of tan(PI x)
- * by subtracting the nearest integer from x
- */
-	nz = q - p;
-	if( nz != 0.5 )
-		{
-		if( nz > 0.5 )
-			{
-			p += 1.0;
-			nz = q - p;
-			}
-		nz = PI/tan(PI*nz);
-		}
-	else
-		{
-		nz = 0.0;
-		}
-	x = 1.0 - x;
-	}
-
-/* check for positive integer up to 10 */
-if( (x <= 10.0) && (x == floor(x)) )
-	{
-	y = 0.0;
-	n = x;
-	for( i=1; i<n; i++ )
-		{
-		w = i;
-		y += 1.0/w;
-		}
-	y -= EUL;
-	goto done;
-	}
-
-s = x;
-w = 0.0;
-while( s < 10.0 )
-	{
-	w += 1.0/s;
-	s += 1.0;
-	}
-
-if( s < 1.0e17 )
-	{
-	z = 1.0/(s * s);
-	y = z * polevl( z, A, 6 );
-	}
-else
-	y = 0.0;
-
-y = log(s)  -  (0.5/s)  -  y  -  w;
-
-done:
-
-if( negative )
-	{
-	y -= nz;
-	}
-
-return(y);
-}