Distributions Template Parameter Method

Method Type	Distributions	Math Description
uniform_method::standard uniform_method::accurate	uniform	Standard method. uniform_method::accurate checks for additional float and double data types. For integer data types, it uses double as a BRNG data type (float BRNG data type is used in uniform_method::standard method on GPU).
gaussian_method::box_muller2	gaussian	Generates normally distributed random numbers x1 and x2 through the pair of uniformly distributed numbers u1 and u2 according to the formulas: \(x_1 = \sqrt{-2 \ln u_1} \sin {2 \pi u_2}\)\(x_2 = \sqrt{-2 \ln u_1} \cos {2 \pi u_2}\)
exponential_method::icdf exponential_method::icdf_accurate	exponential	Inverse cumulative distribution function (ICDF) method.
lognormal_method::box_muller2	lognormal	Normally distributed random numbers x1 and x2 are produced through the pair of uniformly distributed numbers u1 and u2 according to the formulas: \(x_1 = -2 \ln u_1 \sin {2 \pi u_2}\) \(x_2 = -2 \ln u_1 \cos {2 \pi u_2}\) Then x1 and x2 are converted to lognormal distribution.
bernoulli_method::icdf	bernoulli	Inverse cumulative distribution function (ICDF) method.
poisson_method::devroye	poisson	Acceptance/rejection method for \(\lambda \geq 27\) with decomposition into four regions: Two parallelograms Triangle Left exponential tail Right exponential tail

NOTE: Methods provided for exposition purposes.