1 /*
2  *  Mathlib : A C Library of Special Functions
3  *  Copyright (C) 2000-2019 The R Core Team
4  *  Copyright (C) 1998 Ross Ihaka
5  *
6  *  This program is free software; you can redistribute it and/or modify
7  *  it under the terms of the GNU General Public License as published by
8  *  the Free Software Foundation; either version 2 of the License, or
9  *  (at your option) any later version.
10  *
11  *  This program is distributed in the hope that it will be useful,
12  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
13  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14  *  GNU General Public License for more details.
15  *
16  *  You should have received a copy of the GNU General Public License
17  *  along with this program; if not, a copy is available at
18  *  https://www.R-project.org/Licenses/
19  *
20  *  DESCRIPTION
21  *
22  *    The density of the lognormal distribution.
23  */
24 
25 #include "nmath.h"
26 #include "dpq.h"
27 
dlnorm(double x,double meanlog,double sdlog,int give_log)28 double dlnorm(double x, double meanlog, double sdlog, int give_log)
29 {
30     double y;
31 
32 #ifdef IEEE_754
33     if (ISNAN(x) || ISNAN(meanlog) || ISNAN(sdlog))
34 	return x + meanlog + sdlog;
35 #endif
36     if(sdlog < 0) ML_WARN_return_NAN;
37     if(!R_FINITE(x) && log(x) == meanlog) return ML_NAN;/* log(x) - meanlog is NaN */
38     if(sdlog == 0)
39 	return (log(x) == meanlog) ? ML_POSINF : R_D__0;
40     if(x <= 0) return R_D__0;
41 
42     y = (log(x) - meanlog) / sdlog;
43     return (give_log ?
44 	    -(M_LN_SQRT_2PI   + 0.5 * y * y + log(x * sdlog)) :
45 	    M_1_SQRT_2PI * exp(-0.5 * y * y)  /	 (x * sdlog));
46     /* M_1_SQRT_2PI = 1 / sqrt(2 * pi) */
47 }
48