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-rw-r--r--libm/float/pdtrf.c188
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diff --git a/libm/float/pdtrf.c b/libm/float/pdtrf.c
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-/* pdtrf.c
- *
- * Poisson distribution
- *
- *
- *
- * SYNOPSIS:
- *
- * int k;
- * float m, y, pdtrf();
- *
- * y = pdtrf( 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:
- *
- * Relative error:
- * arithmetic domain # trials peak rms
- * IEEE 0,100 5000 6.9e-5 8.0e-6
- *
- */
- /* pdtrcf()
- *
- * Complemented poisson distribution
- *
- *
- *
- * SYNOPSIS:
- *
- * int k;
- * float m, y, pdtrcf();
- *
- * y = pdtrcf( 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:
- *
- * Relative error:
- * arithmetic domain # trials peak rms
- * IEEE 0,100 5000 8.4e-5 1.2e-5
- *
- */
- /* pdtrif()
- *
- * Inverse Poisson distribution
- *
- *
- *
- * SYNOPSIS:
- *
- * int k;
- * float m, y, pdtrf();
- *
- * m = pdtrif( 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:
- *
- * Relative error:
- * arithmetic domain # trials peak rms
- * IEEE 0,100 5000 8.7e-6 1.4e-6
- *
- * ERROR MESSAGES:
- *
- * message condition value returned
- * pdtri domain y < 0 or y >= 1 0.0
- * k < 0
- *
- */
-
-/*
-Cephes Math Library Release 2.2: July, 1992
-Copyright 1984, 1987, 1992 by Stephen L. Moshier
-Direct inquiries to 30 Frost Street, Cambridge, MA 02140
-*/
-
-#include <math.h>
-
-#ifdef ANSIC
-float igamf(float, float), igamcf(float, float), igamif(float, float);
-#else
-float igamf(), igamcf(), igamif();
-#endif
-
-
-float pdtrcf( int k, float mm )
-{
-float v, m;
-
-m = mm;
-if( (k < 0) || (m <= 0.0) )
- {
- mtherr( "pdtrcf", DOMAIN );
- return( 0.0 );
- }
-v = k+1;
-return( igamf( v, m ) );
-}
-
-
-
-float pdtrf( int k, float mm )
-{
-float v, m;
-
-m = mm;
-if( (k < 0) || (m <= 0.0) )
- {
- mtherr( "pdtr", DOMAIN );
- return( 0.0 );
- }
-v = k+1;
-return( igamcf( v, m ) );
-}
-
-
-float pdtrif( int k, float yy )
-{
-float v, y;
-
-y = yy;
-if( (k < 0) || (y < 0.0) || (y >= 1.0) )
- {
- mtherr( "pdtrif", DOMAIN );
- return( 0.0 );
- }
-v = k+1;
-v = igamif( v, y );
-return( v );
-}