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/double/ellie.c | 148 ----------------------------------------------------
 1 file changed, 148 deletions(-)
 delete mode 100644 libm/double/ellie.c

(limited to 'libm/double/ellie.c')

diff --git a/libm/double/ellie.c b/libm/double/ellie.c
deleted file mode 100644
index 4f3379aa6..000000000
--- a/libm/double/ellie.c
+++ /dev/null
@@ -1,148 +0,0 @@
-/*							ellie.c
- *
- *	Incomplete elliptic integral of the second kind
- *
- *
- *
- * SYNOPSIS:
- *
- * double phi, m, y, ellie();
- *
- * y = ellie( phi, m );
- *
- *
- *
- * DESCRIPTION:
- *
- * Approximates the integral
- *
- *
- *                phi
- *                 -
- *                | |
- *                |                   2
- * E(phi_\m)  =    |    sqrt( 1 - m sin t ) dt
- *                |
- *              | |    
- *               -
- *                0
- *
- * of amplitude phi and modulus m, using the arithmetic -
- * geometric mean algorithm.
- *
- *
- *
- * ACCURACY:
- *
- * Tested at random arguments with phi in [-10, 10] and m in
- * [0, 1].
- *                      Relative error:
- * arithmetic   domain     # trials      peak         rms
- *    DEC        0,2         2000       1.9e-16     3.4e-17
- *    IEEE     -10,10      150000       3.3e-15     1.4e-16
- *
- *
- */
-
-
-/*
-Cephes Math Library Release 2.8:  June, 2000
-Copyright 1984, 1987, 1993, 2000 by Stephen L. Moshier
-*/
-
-/*	Incomplete elliptic integral of second kind	*/
-#include <math.h>
-extern double PI, PIO2, MACHEP;
-#ifdef ANSIPROT
-extern double sqrt ( double );
-extern double fabs ( double );
-extern double log ( double );
-extern double sin ( double x );
-extern double tan ( double x );
-extern double atan ( double );
-extern double floor ( double );
-extern double ellpe ( double );
-extern double ellpk ( double );
-double ellie ( double, double );
-#else
-double sqrt(), fabs(), log(), sin(), tan(), atan(), floor();
-double ellpe(), ellpk(), ellie();
-#endif
-
-double ellie( phi, m )
-double phi, m;
-{
-double a, b, c, e, temp;
-double lphi, t, E;
-int d, mod, npio2, sign;
-
-if( m == 0.0 )
-	return( phi );
-lphi = phi;
-npio2 = floor( lphi/PIO2 );
-if( npio2 & 1 )
-	npio2 += 1;
-lphi = lphi - npio2 * PIO2;
-if( lphi < 0.0 )
-	{
-	lphi = -lphi;
-	sign = -1;
-	}
-else
-	{
-	sign = 1;
-	}
-a = 1.0 - m;
-E = ellpe( a );
-if( a == 0.0 )
-	{
-	temp = sin( lphi );
-	goto done;
-	}
-t = tan( lphi );
-b = sqrt(a);
-/* Thanks to Brian Fitzgerald <fitzgb@mml0.meche.rpi.edu>
-   for pointing out an instability near odd multiples of pi/2.  */
-if( fabs(t) > 10.0 )
-	{
-	/* Transform the amplitude */
-	e = 1.0/(b*t);
-	/* ... but avoid multiple recursions.  */
-	if( fabs(e) < 10.0 )
-		{
-		e = atan(e);
-		temp = E + m * sin( lphi ) * sin( e ) - ellie( e, m );
-		goto done;
-		}
-	}
-c = sqrt(m);
-a = 1.0;
-d = 1;
-e = 0.0;
-mod = 0;
-
-while( fabs(c/a) > MACHEP )
-	{
-	temp = b/a;
-	lphi = lphi + atan(t*temp) + mod * PI;
-	mod = (lphi + PIO2)/PI;
-	t = t * ( 1.0 + temp )/( 1.0 - temp * t * t );
-	c = ( a - b )/2.0;
-	temp = sqrt( a * b );
-	a = ( a + b )/2.0;
-	b = temp;
-	d += d;
-	e += c * sin(lphi);
-	}
-
-temp = E / ellpk( 1.0 - m );
-temp *= (atan(t) + mod * PI)/(d * a);
-temp += e;
-
-done:
-
-if( sign < 0 )
-	temp = -temp;
-temp += npio2 * E;
-return( temp );
-}
-- 
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