📄 gdtrf.c
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/* gdtrf.c * * Gamma distribution function * * * * SYNOPSIS: * * float a, b, x, y, gdtrf(); * * y = gdtrf( a, b, x ); * * * * DESCRIPTION: * * Returns the integral from zero to x of the gamma probability * density function: * * * x * b - * a | | b-1 -at * y = ----- | t e dt * - | | * | (b) - * 0 * * The incomplete gamma integral is used, according to the * relation * * y = igam( b, ax ). * * * ACCURACY: * * Relative error: * arithmetic domain # trials peak rms * IEEE 0,100 5000 5.8e-5 3.0e-6 * * ERROR MESSAGES: * * message condition value returned * gdtrf domain x < 0 0.0 * *//* gdtrcf.c * * Complemented gamma distribution function * * * * SYNOPSIS: * * float a, b, x, y, gdtrcf(); * * y = gdtrcf( a, b, x ); * * * * DESCRIPTION: * * Returns the integral from x to infinity of the gamma * probability density function: * * * inf. * b - * a | | b-1 -at * y = ----- | t e dt * - | | * | (b) - * x * * The incomplete gamma integral is used, according to the * relation * * y = igamc( b, ax ). * * * ACCURACY: * * Relative error: * arithmetic domain # trials peak rms * IEEE 0,100 5000 9.1e-5 1.5e-5 * * ERROR MESSAGES: * * message condition value returned * gdtrcf domain x < 0 0.0 * *//* gdtr() *//*Cephes Math Library Release 2.2: July, 1992Copyright 1984, 1987, 1992 by Stephen L. MoshierDirect inquiries to 30 Frost Street, Cambridge, MA 02140*/#include <math.h>#ifdef ANSICfloat igamf(float, float), igamcf(float, float);#elsefloat igamf(), igamcf();#endiffloat gdtrf( float aa, float bb, float xx ){float a, b, x;a = aa;b = bb;x = xx;if( x < 0.0 ) { mtherr( "gdtrf", DOMAIN ); return( 0.0 ); }return( igamf( b, a * x ) );}float gdtrcf( float aa, float bb, float xx ){float a, b, x;a = aa;b = bb;x = xx;if( x < 0.0 ) { mtherr( "gdtrcf", DOMAIN ); return( 0.0 ); }return( igamcf( b, a * x ) );}
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