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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;μ,σ)=1σ2πe−12(x−μσ)2.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 (μ\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;
}