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authorEric Andersen <andersen@codepoet.org>2001-05-10 00:40:28 +0000
committerEric Andersen <andersen@codepoet.org>2001-05-10 00:40:28 +0000
commit1077fa4d772832f77a677ce7fb7c2d513b959e3f (patch)
tree579bee13fb0b58d2800206366ec2caecbb15f3fc /libm/ldouble/pdtrl.c
parent22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff)
uClibc now has a math library. muahahahaha!
-Erik
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+/* pdtrl.c
+ *
+ * Poisson distribution
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * int k;
+ * long double m, y, pdtrl();
+ *
+ * y = pdtrl( k, m );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Returns the sum of the first k terms of the Poisson
+ * distribution:
+ *
+ * k j
+ * -- -m m
+ * > e --
+ * -- j!
+ * j=0
+ *
+ * The terms are not summed directly; instead the incomplete
+ * gamma integral is employed, according to the relation
+ *
+ * y = pdtr( k, m ) = igamc( k+1, m ).
+ *
+ * The arguments must both be positive.
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ * See igamc().
+ *
+ */
+ /* pdtrcl()
+ *
+ * Complemented poisson distribution
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * int k;
+ * long double m, y, pdtrcl();
+ *
+ * y = pdtrcl( k, m );
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Returns the sum of the terms k+1 to infinity of the Poisson
+ * distribution:
+ *
+ * inf. j
+ * -- -m m
+ * > e --
+ * -- j!
+ * j=k+1
+ *
+ * The terms are not summed directly; instead the incomplete
+ * gamma integral is employed, according to the formula
+ *
+ * y = pdtrc( k, m ) = igam( k+1, m ).
+ *
+ * The arguments must both be positive.
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ * See igam.c.
+ *
+ */
+ /* pdtril()
+ *
+ * Inverse Poisson distribution
+ *
+ *
+ *
+ * SYNOPSIS:
+ *
+ * int k;
+ * long double m, y, pdtrl();
+ *
+ * m = pdtril( k, y );
+ *
+ *
+ *
+ *
+ * DESCRIPTION:
+ *
+ * Finds the Poisson variable x such that the integral
+ * from 0 to x of the Poisson density is equal to the
+ * given probability y.
+ *
+ * This is accomplished using the inverse gamma integral
+ * function and the relation
+ *
+ * m = igami( k+1, y ).
+ *
+ *
+ *
+ *
+ * ACCURACY:
+ *
+ * See igami.c.
+ *
+ * ERROR MESSAGES:
+ *
+ * message condition value returned
+ * pdtri domain y < 0 or y >= 1 0.0
+ * k < 0
+ *
+ */
+
+/*
+Cephes Math Library Release 2.3: March, 1995
+Copyright 1984, 1995 by Stephen L. Moshier
+*/
+
+#include <math.h>
+#ifdef ANSIPROT
+extern long double igaml ( long double, long double );
+extern long double igamcl ( long double, long double );
+extern long double igamil ( long double, long double );
+#else
+long double igaml(), igamcl(), igamil();
+#endif
+
+long double pdtrcl( k, m )
+int k;
+long double m;
+{
+long double v;
+
+if( (k < 0) || (m <= 0.0L) )
+ {
+ mtherr( "pdtrcl", DOMAIN );
+ return( 0.0L );
+ }
+v = k+1;
+return( igaml( v, m ) );
+}
+
+
+
+long double pdtrl( k, m )
+int k;
+long double m;
+{
+long double v;
+
+if( (k < 0) || (m <= 0.0L) )
+ {
+ mtherr( "pdtrl", DOMAIN );
+ return( 0.0L );
+ }
+v = k+1;
+return( igamcl( v, m ) );
+}
+
+
+long double pdtril( k, y )
+int k;
+long double y;
+{
+long double v;
+
+if( (k < 0) || (y < 0.0L) || (y >= 1.0L) )
+ {
+ mtherr( "pdtril", DOMAIN );
+ return( 0.0L );
+ }
+v = k+1;
+v = igamil( v, y );
+return( v );
+}