From 7ce331c01ce6eb7b3f5c715a38a24359da9c6ee2 Mon Sep 17 00:00:00 2001
From: Eric Andersen <andersen@codepoet.org>
Date: Thu, 22 Nov 2001 14:04:29 +0000
Subject: 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

---
 libm/float/ivf.c | 114 -------------------------------------------------------
 1 file changed, 114 deletions(-)
 delete mode 100644 libm/float/ivf.c

(limited to 'libm/float/ivf.c')

diff --git a/libm/float/ivf.c b/libm/float/ivf.c
deleted file mode 100644
index b7ab2b619..000000000
--- a/libm/float/ivf.c
+++ /dev/null
@@ -1,114 +0,0 @@
-/*							ivf.c
- *
- *	Modified Bessel function of noninteger order
- *
- *
- *
- * SYNOPSIS:
- *
- * float v, x, y, ivf();
- *
- * y = ivf( v, x );
- *
- *
- *
- * DESCRIPTION:
- *
- * Returns modified Bessel function of order v of the
- * argument.  If x is negative, v must be integer valued.
- *
- * The function is defined as Iv(x) = Jv( ix ).  It is
- * here computed in terms of the confluent hypergeometric
- * function, according to the formula
- *
- *              v  -x
- * Iv(x) = (x/2)  e   hyperg( v+0.5, 2v+1, 2x ) / gamma(v+1)
- *
- * If v is a negative integer, then v is replaced by -v.
- *
- *
- * ACCURACY:
- *
- * Tested at random points (v, x), with v between 0 and
- * 30, x between 0 and 28.
- * arithmetic   domain     # trials      peak         rms
- *                      Relative error:
- *    IEEE      0,15          3000      4.7e-6      5.4e-7
- *          Absolute error (relative when function > 1)
- *    IEEE      0,30          5000      8.5e-6      1.3e-6
- *
- * Accuracy is diminished if v is near a negative integer.
- * The useful domain for relative error is limited by overflow
- * of the single precision exponential function.
- *
- * See also hyperg.c.
- *
- */
-/*							iv.c	*/
-/*	Modified Bessel function of noninteger order		*/
-/* If x < 0, then v must be an integer. */
-
-
-/*
-Cephes Math Library Release 2.2: June, 1992
-Copyright 1984, 1987, 1988, 1992 by Stephen L. Moshier
-Direct inquiries to 30 Frost Street, Cambridge, MA 02140
-*/
-
-
-#include <math.h>
-
-extern float MAXNUMF;
-#define fabsf(x) ( (x) < 0 ? -(x) : (x) )
-
-float hypergf(float, float, float);
-float expf(float), gammaf(float), logf(float), floorf(float);
-
-float ivf( float v, float x )
-{
-int sign;
-float t, ax;
-
-/* If v is a negative integer, invoke symmetry */
-t = floorf(v);
-if( v < 0.0 )
-	{
-	if( t == v )
-		{
-		v = -v;	/* symmetry */
-		t = -t;
-		}
-	}
-/* If x is negative, require v to be an integer */
-sign = 1;
-if( x < 0.0 )
-	{
-	if( t != v )
-		{
-		mtherr( "ivf", DOMAIN );
-		return( 0.0 );
-		}
-	if( v != 2.0 * floorf(v/2.0) )
-		sign = -1;
-	}
-
-/* Avoid logarithm singularity */
-if( x == 0.0 )
-	{
-	if( v == 0.0 )
-		return( 1.0 );
-	if( v < 0.0 )
-		{
-		mtherr( "ivf", OVERFLOW );
-		return( MAXNUMF );
-		}
-	else
-		return( 0.0 );
-	}
-
-ax = fabsf(x);
-t = v * logf( 0.5 * ax )  -  x;
-t = sign * expf(t) / gammaf( v + 1.0 );
-ax = v + 0.5;
-return( t * hypergf( ax,  2.0 * ax,  2.0 * x ) );
-}
-- 
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