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Mixture of Distributions

Name​

UxHwDoubleMixture, UxHwFloatMixture — Calculate the Mixture of two distributions.

Synopsis​

#include <uxhw.h>

double  UxHwDoubleMixture(double a, double b, double aScale);
float   UxHwFloatMixture(float a, float b, float aScale);

Description​

The UxHwDoubleMixture() function, on architectures that associate distributional information with floating-point variables, creates a distributional value that follows the mixture distribution generated from the distributional values associated with a and b, and associates it with its return value. The resulting mixture distribution contains the distribution of a with probability aScale and the distribution of b with probability 1 - aScale. The function returns the mean value of the outcome mixture distribution.

Parameters​

  • a — The distributional value of this parameter is used for the calculation of the mixture distribution.
  • b — The distributional value of this parameter is used for the calculation of the mixture distribution.
  • aScale — The scaling of a distribution in the resulting mixture distribution. Its value must be in [0.0, 1.0].

Return Values​

The UxHwDoubleMixture() function returns the mean value of the samples drawn from the mixture distribution of a and b, with scaling aScale. If the value of aScale is not in [0.0, 1.0], the function returns NaN.

✏️   Examples​

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

int
main(void)
{
    double  a = UxHwDoubleUniformDist(0.0, 10.0);
    double  b = UxHwDoubleUniformDist(5.0, 15.0);
    double  aScale = 0.2;

    double  c = UxHwDoubleMixture(a, b, aScale);

    printf("c = %lf\n", c);

    return 0;
}