Jip J. Dekker
fad1b07018
git-subtree-dir: software/minizinc git-subtree-split: 4f10c82056ffcb1041d7ffef29d77a7eef92cf76
91 lines
4.4 KiB
MiniZinc
91 lines
4.4 KiB
MiniZinc
/***
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@groupdef stdlib.random Random Number Generator builtins
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These functions implement random number generators from different
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probability distributions.
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*/
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/** @group stdlib.random Return a sample from the normal distribution defined by \(\a mean, \a std\) */
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function float: normal(float: mean, float: std);
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/** @group stdlib.random Return a sample from the normal distribution defined by \(\a mean, \a std\) */
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function float: normal(int: mean, float: std);
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/** @group stdlib.random Return a sample from the uniform distribution defined by \(\a lowerbound, \a upperbound\) */
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function float: uniform(float: lowerbound, float: upperbound);
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/** @group stdlib.random Return a sample from the uniform distribution defined by \(\a lowerbound, \a upperbound\) */
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function int: uniform(int: lowerbound, int: upperbound);
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/** @group stdlib.random Return a sample from the uniform distribution defined by \a S */
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function int: uniform(set of int: S) =
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if card(S) == max(S) - min(S) + 1 then
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uniform(min(S),max(S))
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else
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[ i | i in S ][uniform(1,card(S))]
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endif;
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/** @group stdlib.random Return a sample from the poisson distribution defined by \a mean */
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function int: poisson(float: mean);
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/** @group stdlib.random Return a sample from the poisson distribution defined by an integer \a mean */
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function int: poisson(int: mean);
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/** @group stdlib.random Return a sample from the gamma distribution defined by \(\a alpha, \a beta\) */
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function float: gamma(float: alpha, float: beta);
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/** @group stdlib.random Return a sample from the gamma distribution defined by \(\a alpha, \a beta\) */
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function float: gamma(int: alpha, float: beta);
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/** @group stdlib.random Return a sample from the Weibull distribution defined by \(\a shape, \a scale\) */
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function float: weibull(float: shape, float: scale);
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/** @group stdlib.random Return a sample from the Weibull distribution defined by \(\a shape, \a scale\) */
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function float: weibull(int: shape, float: scale);
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/** @group stdlib.random Return a sample from the exponential distribution defined by \(\a lambda\) */
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function float: exponential(int: lambda);
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/** @group stdlib.random Return a sample from the exponential distribution defined by \(\a lambda\) */
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function float: exponential(float: lambda);
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/** @group stdlib.random Return a sample from the lognormal distribution defined by \(\a mean, \a std\) */
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function float: lognormal(float: mean, float: std);
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/** @group stdlib.random Return a sample from the lognormal distribution defined by \(\a mean, \a std\) */
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function float: lognormal(int: mean, float: std);
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/** @group stdlib.random Return a sample from the chi-squared distribution defined by the degree of freedom \(\a n\) */
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function float: chisquared(int: n);
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/** @group stdlib.random Return a sample from the chi-squared distribution defined by the degree of freedom \(\a n\) */
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function float: chisquared(float: n);
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/** @group stdlib.random Return a sample from the cauchy distribution defined by \(\a mean, \a scale\) */
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function float: cauchy(float: mean, float: scale);
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/** @group stdlib.random Return a sample from the cauchy distribution defined by \(\a mean, \a scale\) */
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function float: cauchy(int: mean, float: scale);
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/** @group stdlib.random Return a sample from the Fisher-Snedecor F-distribution defined by the degrees of freedom \(\a d1, \a d2\) */
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function float: fdistribution(float: d1, float: d2);
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/** @group stdlib.random Return a sample from the Fisher-Snedecor F-distribution defined by the degrees of freedom \(\a d1, \a d2\) */
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function float: fdistribution(int: d1, int: d2);
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/** @group stdlib.random Return a sample from the student's t-distribution defined by the sample size \(\a n\) */
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function float: tdistribution(float: n);
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/** @group stdlib.random Return a sample from the student's t-distribution defined by the sample size \(\a n\) */
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function float: tdistribution(int: n);
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/** @group stdlib.random Return a sample from the discrete distribution defined by the array of weights \(\a weights\) that assigns a weight to each integer starting from zero */
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function int: discrete_distribution(array[int] of int: weights);
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/** @group stdlib.random Return a boolean sample from the Bernoulli distribution defined by probability \(\a p\) */
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function bool: bernoulli(float: p);
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/** @group stdlib.random Return a sample from the binomial distribution defined by sample number \a t and probability \a p */
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function int: binomial(int: t, float: p);
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