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/*
* Mathlib : A C Library of Special Functions
* Copyright (C) 1998 Ross Ihaka
* Copyright (C) 2000 The R Core Team
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, a copy is available at
* https://www.R-project.org/Licenses/
*
* DESCRIPTION
*
* The distribution function of the Poisson distribution.
*/
#include "nmath.h"
#include "dpq.h"
double ppois(double x, double lambda, int lower_tail, int log_p)
{
#ifdef IEEE_754
if (ISNAN(x) || ISNAN(lambda))
return x + lambda;
#endif
if(lambda < 0.) ML_WARN_return_NAN;
if (x < 0) return R_DT_0;
if (lambda == 0.) return R_DT_1;
if (!R_FINITE(x)) return R_DT_1;
x = floor(x + 1e-7);
return pgamma(lambda, x + 1, 1., !lower_tail, log_p);
}