# The Flat (Uniform) Distribution¶

gsl_ran_flat(a, b)

This function returns a random variate from the flat (uniform) distribution from a to b. The distribution is,

$p(x) dx = {1 \over (b-a)} dx$

if $$a \leq x < b$$ and $$0$$ otherwise.

gsl_ran_flat_pdf(x, a, b)

This function computes the probability density $$p(x)$$ at $$x$$ for a uniform distribution from a to b, using the formula given above.

gsl_cdf_flat_P(x, a, b)
gsl_cdf_flat_Q(x, a, b)
gsl_cdf_flat_Pinv(P, a, b)
gsl_cdf_flat_Qinv(Q, a, b)

These functions compute the cumulative distribution functions $$P(x), Q(x)$$ and their inverses for a uniform distribution from a to b.