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, 228 deletions

diff --git a/libm/float/j0f.c b/libm/float/j0f.c
deleted file mode 100644
index 2b0d4a5a4..000000000
--- a/libm/float/j0f.c
+++ /dev/null
@@ -1,228 +0,0 @@
-/*							j0f.c
- *
- *	Bessel function of order zero
- *
- *
- *
- * SYNOPSIS:
- *
- * float x, y, j0f();
- *
- * y = j0f( x );
- *
- *
- *
- * DESCRIPTION:
- *
- * Returns Bessel function of order zero of the argument.
- *
- * The domain is divided into the intervals [0, 2] and
- * (2, infinity). In the first interval the following polynomial
- * approximation is used:
- *
- *
- *        2         2         2
- * (w - r  ) (w - r  ) (w - r  ) P(w)
- *       1         2         3   
- *
- *            2
- * where w = x  and the three r's are zeros of the function.
- *
- * In the second interval, the modulus and phase are approximated
- * by polynomials of the form Modulus(x) = sqrt(1/x) Q(1/x)
- * and Phase(x) = x + 1/x R(1/x^2) - pi/4.  The function is
- *
- *   j0(x) = Modulus(x) cos( Phase(x) ).
- *
- *
- *
- * ACCURACY:
- *
- *                      Absolute error:
- * arithmetic   domain     # trials      peak         rms
- *    IEEE      0, 2        100000      1.3e-7      3.6e-8
- *    IEEE      2, 32       100000      1.9e-7      5.4e-8
- *
- */
-/*							y0f.c
- *
- *	Bessel function of the second kind, order zero
- *
- *
- *
- * SYNOPSIS:
- *
- * float x, y, y0f();
- *
- * y = y0f( x );
- *
- *
- *
- * DESCRIPTION:
- *
- * Returns Bessel function of the second kind, of order
- * zero, of the argument.
- *
- * The domain is divided into the intervals [0, 2] and
- * (2, infinity). In the first interval a rational approximation
- * R(x) is employed to compute
- *
- *                  2         2         2
- * y0(x)  =  (w - r  ) (w - r  ) (w - r  ) R(x)  +  2/pi ln(x) j0(x).
- *                 1         2         3   
- *
- * Thus a call to j0() is required.  The three zeros are removed
- * from R(x) to improve its numerical stability.
- *
- * In the second interval, the modulus and phase are approximated
- * by polynomials of the form Modulus(x) = sqrt(1/x) Q(1/x)
- * and Phase(x) = x + 1/x S(1/x^2) - pi/4.  Then the function is
- *
- *   y0(x) = Modulus(x) sin( Phase(x) ).
- *
- *
- *
- *
- * ACCURACY:
- *
- *  Absolute error, when y0(x) < 1; else relative error:
- *
- * arithmetic   domain     # trials      peak         rms
- *    IEEE      0,  2       100000      2.4e-7      3.4e-8
- *    IEEE      2, 32       100000      1.8e-7      5.3e-8
- *
- */
-
-/*
-Cephes Math Library Release 2.2:  June, 1992
-Copyright 1984, 1987, 1989, 1992 by Stephen L. Moshier
-Direct inquiries to 30 Frost Street, Cambridge, MA 02140
-*/
-
-
-#include <math.h>
-
-static float MO[8] = {
--6.838999669318810E-002f,
- 1.864949361379502E-001f,
--2.145007480346739E-001f,
- 1.197549369473540E-001f,
--3.560281861530129E-003f,
--4.969382655296620E-002f,
--3.355424622293709E-006f,
- 7.978845717621440E-001f
-};
-
-static float PH[8] = {
- 3.242077816988247E+001f,
--3.630592630518434E+001f,
- 1.756221482109099E+001f,
--4.974978466280903E+000f,
- 1.001973420681837E+000f,
--1.939906941791308E-001f,
- 6.490598792654666E-002f,
--1.249992184872738E-001f
-};
-
-static float YP[5] = {
- 9.454583683980369E-008f,
--9.413212653797057E-006f,
- 5.344486707214273E-004f,
--1.584289289821316E-002f,
- 1.707584643733568E-001f
-};
-
-float YZ1 =  0.43221455686510834878f;
-float YZ2 = 22.401876406482861405f;
-float YZ3 = 64.130620282338755553f;
-
-static float DR1 =  5.78318596294678452118f;
-/*
-static float DR2 = 30.4712623436620863991;
-static float DR3 = 74.887006790695183444889;
-*/
-
-static float JP[5] = {
--6.068350350393235E-008f,
- 6.388945720783375E-006f,
--3.969646342510940E-004f,
- 1.332913422519003E-002f,
--1.729150680240724E-001f
-};
-extern float PIO4F;
-
-
-float polevlf(float, float *, int);
-float logf(float), sinf(float), cosf(float), sqrtf(float);
-
-float j0f( float xx )
-{
-float x, w, z, p, q, xn;
-
-
-if( xx < 0 )
-	x = -xx;
-else
-	x = xx;
-
-if( x <= 2.0f )
-	{
-	z = x * x;
-	if( x < 1.0e-3f )
-		return( 1.0f - 0.25f*z );
-
-	p = (z-DR1) * polevlf( z, JP, 4);
-	return( p );
-	}
-
-q = 1.0f/x;
-w = sqrtf(q);
-
-p = w * polevlf( q, MO, 7);
-w = q*q;
-xn = q * polevlf( w, PH, 7) - PIO4F;
-p = p * cosf(xn + x);
-return(p);
-}
-
-/*							y0() 2	*/
-/* Bessel function of second kind, order zero	*/
-
-/* Rational approximation coefficients YP[] are used for x < 6.5.
- * The function computed is  y0(x)  -  2 ln(x) j0(x) / pi,
- * whose value at x = 0 is  2 * ( log(0.5) + EUL ) / pi
- * = 0.073804295108687225 , EUL is Euler's constant.
- */
-
-static float TWOOPI =  0.636619772367581343075535f; /* 2/pi */
-extern float MAXNUMF;
-
-float y0f( float xx )
-{
-float x, w, z, p, q, xn;
-
-
-x = xx;
-if( x <= 2.0f )
-	{
-	if( x <= 0.0f )
-		{
-		mtherr( "y0f", DOMAIN );
-		return( -MAXNUMF );
-		}
-	z = x * x;
-/*	w = (z-YZ1)*(z-YZ2)*(z-YZ3) * polevlf( z, YP, 4);*/
-	w = (z-YZ1) * polevlf( z, YP, 4);
-	w += TWOOPI * logf(x) * j0f(x);
-	return( w );
-	}
-
-q = 1.0f/x;
-w = sqrtf(q);
-
-p = w * polevlf( q, MO, 7);
-w = q*q;
-xn = q * polevlf( w, PH, 7) - PIO4F;
-p = p * sinf(xn + x);
-return( p );
-}