From 1077fa4d772832f77a677ce7fb7c2d513b959e3f Mon Sep 17 00:00:00 2001
From: Eric Andersen <andersen@codepoet.org>
Date: Thu, 10 May 2001 00:40:28 +0000
Subject: uClibc now has a math library.  muahahahaha!  -Erik

---
 libm/ldouble/nbdtrl.c | 197 ++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 197 insertions(+)
 create mode 100644 libm/ldouble/nbdtrl.c

(limited to 'libm/ldouble/nbdtrl.c')

diff --git a/libm/ldouble/nbdtrl.c b/libm/ldouble/nbdtrl.c
new file mode 100644
index 000000000..91593f544
--- /dev/null
+++ b/libm/ldouble/nbdtrl.c
@@ -0,0 +1,197 @@
+/*							nbdtrl.c
+ *
+ *	Negative binomial distribution
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * int k, n;
+ * long double p, y, nbdtrl();
+ *
+ * y = nbdtrl( k, n, p );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Returns the sum of the terms 0 through k of the negative
+ * binomial distribution:
+ *
+ *   k
+ *   --  ( n+j-1 )   n      j
+ *   >   (       )  p  (1-p)
+ *   --  (   j   )
+ *  j=0
+ *
+ * In a sequence of Bernoulli trials, this is the probability
+ * that k or fewer failures precede the nth success.
+ *
+ * The terms are not computed individually; instead the incomplete
+ * beta integral is employed, according to the formula
+ *
+ * y = nbdtr( k, n, p ) = incbet( n, k+1, p ).
+ *
+ * The arguments must be positive, with p ranging from 0 to 1.
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ * Tested at random points (k,n,p) with k and n between 1 and 10,000
+ * and p between 0 and 1.
+ *
+ * arithmetic   domain     # trials      peak         rms
+ *    Absolute error:
+ *    IEEE      0,10000     10000       9.8e-15     2.1e-16
+ *
+ */
+/*							nbdtrcl.c
+ *
+ *	Complemented negative binomial distribution
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * int k, n;
+ * long double p, y, nbdtrcl();
+ *
+ * y = nbdtrcl( k, n, p );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Returns the sum of the terms k+1 to infinity of the negative
+ * binomial distribution:
+ *
+ *   inf
+ *   --  ( n+j-1 )   n      j
+ *   >   (       )  p  (1-p)
+ *   --  (   j   )
+ *  j=k+1
+ *
+ * The terms are not computed individually; instead the incomplete
+ * beta integral is employed, according to the formula
+ *
+ * y = nbdtrc( k, n, p ) = incbet( k+1, n, 1-p ).
+ *
+ * The arguments must be positive, with p ranging from 0 to 1.
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ * See incbetl.c.
+ *
+ */
+/*							nbdtril
+ *
+ *	Functional inverse of negative binomial distribution
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * int k, n;
+ * long double p, y, nbdtril();
+ *
+ * p = nbdtril( k, n, y );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Finds the argument p such that nbdtr(k,n,p) is equal to y.
+ *
+ * ACCURACY:
+ *
+ * Tested at random points (a,b,y), with y between 0 and 1.
+ *
+ *               a,b                     Relative error:
+ * arithmetic  domain     # trials      peak         rms
+ *    IEEE     0,100
+ * See also incbil.c.
+ */
+
+/*
+Cephes Math Library Release 2.3:  January,1995
+Copyright 1984, 1995 by Stephen L. Moshier
+*/
+
+#include <math.h>
+#ifdef ANSIPROT
+extern long double incbetl ( long double, long double, long double );
+extern long double powl ( long double, long double );
+extern long double incbil ( long double, long double, long double );
+#else
+long double incbetl(), powl(), incbil();
+#endif
+
+long double nbdtrcl( k, n, p )
+int k, n;
+long double p;
+{
+long double dk, dn;
+
+if( (p < 0.0L) || (p > 1.0L) )
+	goto domerr;
+if( k < 0 )
+	{
+domerr:
+	mtherr( "nbdtrl", DOMAIN );
+	return( 0.0L );
+	}
+dn = n;
+if( k == 0 )
+	return( 1.0L - powl( p, dn ) );
+
+dk = k+1;
+return( incbetl( dk, dn, 1.0L - p ) );
+}
+
+
+
+long double nbdtrl( k, n, p )
+int k, n;
+long double p;
+{
+long double dk, dn;
+
+if( (p < 0.0L) || (p > 1.0L) )
+	goto domerr;
+if( k < 0 )
+	{
+domerr:
+	mtherr( "nbdtrl", DOMAIN );
+	return( 0.0L );
+	}
+dn = n;
+if( k == 0 )
+	return( powl( p, dn ) );
+
+dk = k+1;
+return( incbetl( dn, dk, p ) );
+}
+
+
+long double nbdtril( k, n, p )
+int k, n;
+long double p;
+{
+long double dk, dn, w;
+
+if( (p < 0.0L) || (p > 1.0L) )
+	goto domerr;
+if( k < 0 )
+	{
+domerr:
+	mtherr( "nbdtrl", DOMAIN );
+	return( 0.0L );
+	}
+dk = k+1;
+dn = n;
+w = incbil( dn, dk, p );
+return( w );
+}
-- 
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