/* gdtr.c * * Gamma distribution function * * * * SYNOPSIS: * * double a, b, x, y, gdtr(); * * y = gdtr( 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: * * See igam(). * * ERROR MESSAGES: * * message condition value returned * gdtr domain x < 0 0.0 * */ /* gdtrc.c * * Complemented gamma distribution function * * * * SYNOPSIS: * * double a, b, x, y, gdtrc(); * * y = gdtrc( 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: * * See igamc(). * * ERROR MESSAGES: * * message condition value returned * gdtrc domain x < 0 0.0 * */ /* gdtr() */ /* Cephes Math Library Release 2.3: March,1995 Copyright 1984, 1987, 1995 by Stephen L. Moshier */ #include "mconf.h" double gdtr (double a, double b, double x) { if (x < 0.0) { mtherr ("gdtr", MATHERR_DOMAIN); return (0.0); } return (igam (b, a * x)); } double gdtrc (double a, double b, double x) { if (x < 0.0) { mtherr ("gdtrc", MATHERR_DOMAIN); return (0.0); } return (igamc (b, a * x)); }