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, 164 deletions

diff --git a/libm/ldouble/ellpjl.c b/libm/ldouble/ellpjl.c
deleted file mode 100644
index bb57fe6a1..000000000
--- a/libm/ldouble/ellpjl.c
+++ /dev/null
@@ -1,164 +0,0 @@
-/*							ellpjl.c
- *
- *	Jacobian Elliptic Functions
- *
- *
- *
- * SYNOPSIS:
- *
- * long double u, m, sn, cn, dn, phi;
- * int ellpjl();
- *
- * ellpjl( u, m, _&sn, _&cn, _&dn, _&phi );
- *
- *
- *
- * DESCRIPTION:
- *
- *
- * Evaluates the Jacobian elliptic functions sn(u|m), cn(u|m),
- * and dn(u|m) of parameter m between 0 and 1, and real
- * argument u.
- *
- * These functions are periodic, with quarter-period on the
- * real axis equal to the complete elliptic integral
- * ellpk(1.0-m).
- *
- * Relation to incomplete elliptic integral:
- * If u = ellik(phi,m), then sn(u|m) = sin(phi),
- * and cn(u|m) = cos(phi).  Phi is called the amplitude of u.
- *
- * Computation is by means of the arithmetic-geometric mean
- * algorithm, except when m is within 1e-12 of 0 or 1.  In the
- * latter case with m close to 1, the approximation applies
- * only for phi < pi/2.
- *
- * ACCURACY:
- *
- * Tested at random points with u between 0 and 10, m between
- * 0 and 1.
- *
- *            Absolute error (* = relative error):
- * arithmetic   function   # trials      peak         rms
- *    IEEE      sn          10000       1.7e-18     2.3e-19
- *    IEEE      cn          20000       1.6e-18     2.2e-19
- *    IEEE      dn          10000       4.7e-15     2.7e-17
- *    IEEE      phi         10000       4.0e-19*    6.6e-20*
- *
- * Accuracy deteriorates when u is large.
- *
- */
-
-/*
-Cephes Math Library Release 2.3:  November, 1995
-Copyright 1984, 1987, 1995 by Stephen L. Moshier
-*/
-
-#include <math.h>
-#ifdef ANSIPROT
-extern long double sqrtl ( long double );
-extern long double fabsl ( long double );
-extern long double sinl ( long double );
-extern long double cosl ( long double );
-extern long double asinl ( long double );
-extern long double tanhl ( long double );
-extern long double sinhl ( long double );
-extern long double coshl ( long double );
-extern long double atanl ( long double );
-extern long double expl ( long double );
-#else
-long double sqrtl(), fabsl(), sinl(), cosl(), asinl(), tanhl();
-long double sinhl(), coshl(), atanl(), expl();
-#endif
-extern long double PIO2L, MACHEPL;
-
-int ellpjl( u, m, sn, cn, dn, ph )
-long double u, m;
-long double *sn, *cn, *dn, *ph;
-{
-long double ai, b, phi, t, twon;
-long double a[9], c[9];
-int i;
-
-
-/* Check for special cases */
-
-if( m < 0.0L || m > 1.0L )
-	{
-	mtherr( "ellpjl", DOMAIN );
-	*sn = 0.0L;
-	*cn = 0.0L;
-	*ph = 0.0L;
-	*dn = 0.0L;
-	return(-1);
-	}
-if( m < 1.0e-12L )
-	{
-	t = sinl(u);
-	b = cosl(u);
-	ai = 0.25L * m * (u - t*b);
-	*sn = t - ai*b;
-	*cn = b + ai*t;
-	*ph = u - ai;
-	*dn = 1.0L - 0.5L*m*t*t;
-	return(0);
-	}
-
-if( m >= 0.999999999999L )
-	{
-	ai = 0.25L * (1.0L-m);
-	b = coshl(u);
-	t = tanhl(u);
-	phi = 1.0L/b;
-	twon = b * sinhl(u);
-	*sn = t + ai * (twon - u)/(b*b);
-	*ph = 2.0L*atanl(expl(u)) - PIO2L + ai*(twon - u)/b;
-	ai *= t * phi;
-	*cn = phi - ai * (twon - u);
-	*dn = phi + ai * (twon + u);
-	return(0);
-	}
-
-
-/*	A. G. M. scale		*/
-a[0] = 1.0L;
-b = sqrtl(1.0L - m);
-c[0] = sqrtl(m);
-twon = 1.0L;
-i = 0;
-
-while( fabsl(c[i]/a[i]) > MACHEPL )
-	{
-	if( i > 7 )
-		{
-		mtherr( "ellpjl", OVERFLOW );
-		goto done;
-		}
-	ai = a[i];
-	++i;
-	c[i] = 0.5L * ( ai - b );
-	t = sqrtl( ai * b );
-	a[i] = 0.5L * ( ai + b );
-	b = t;
-	twon *= 2.0L;
-	}
-
-done:
-
-/* backward recurrence */
-phi = twon * a[i] * u;
-do
-	{
-	t = c[i] * sinl(phi) / a[i];
-	b = phi;
-	phi = 0.5L * (asinl(t) + phi);
-	}
-while( --i );
-
-*sn = sinl(phi);
-t = cosl(phi);
-*cn = t;
-*dn = t/cosl(phi-b);
-*ph = phi;
-return(0);
-}