Gaussian Distribution

Name

UxHwDoubleGaussDist, UxHwFloatGaussDist — Create a Gaussian distribution.

Synopsis

#include <uxhw.h>

double  UxHwDoubleGaussDist(double mu, double sigma);
float   UxHwFloatGaussDist(float mu, float sigma);

Description

The UxHwDoubleGaussDist() function, on architectures that associate distributional information with floating-point values, creates a Gaussian distribution with parameters mu and sigma and associates it with its return value. The particle return value is the mean value of a Gaussian distribution with parameters mu and sigma. The probability density function of the Gaussian distribution is

$$f(x;\mu,\sigma)=\frac{1}{\sigma\sqrt{2\pi}}e^{-\frac{1}{2}\left({\frac{x-\mu}{\sigma}}\right)^2}.$$

Parameters

• mu — The mean value ($\mu$) of the Gaussian Distribution.
• sigma — The standard deviation (σ) of the Gaussian Distribution.

Return Values

The UxHwDoubleGaussDist() function returns the mean of samples of a Gaussian distribution with parameters mu and sigma. If sigma < 0, the function returns NaN.

✏️   Examples

#include <stdio.h>
#include <uxhw.h>

int
main(void)
{
    double  value = UxHwDoubleGaussDist(0.0, 1.0);
    printf("value = %lf\n", value);

    return 0;
}