Generates pseudorandom numbers from a triangular distribution on the interval (0, 1).

Synopsis

#include <imsls.h>

float *imsls_f_random_triangular (int n_random, ..., 0)

The type double function is imsls_d_random_triangular.

Required Arguments

int n_random   (Input)
Number of random numbers to generate.

Return Value

An array of length n_random containing the random deviates of a triangular distribution.

Synopsis with Optional Arguments

#include <imsls.h>

float *imsls_f_random_triangular (int n_random,
IMSLS_RETURN_USER, float r[],
0)

Optional Arguments

IMSLS_RETURN_USER, float r[]   (Output)
User-supplied array of length n_random containing the random triangular deviates.

Description

Function imsls_f_random_triangular generates pseudorandom numbers from a triangular distribu­tion over the unit interval. The probability density function is f (x) = 4x, for 0 ≤ x ≤ 0.5, and f (x) = 4 (1 − x), for 0.5 < x ≤ 1. An inverse CDF technique is used.

Example

In this example, imsls_f_random_triangular is used to generate five pseudorandom deviates from a triangular distribution.

#include <stdio.h>

#include <imsls.h>

 

int main()

{

    int   n_random = 5;

    float *r;

 

    imsls_random_seed_set(123457);

    r = imsls_f_random_triangular(n_random, 0);

    imsls_f_write_matrix("Triangular random deviates:",

        1, n_random, r, IMSLS_NO_COL_LABELS, 0);

}

Output

                Triangular random deviates:

    0.8700      0.3610      0.6581      0.5360      0.7215

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