Celeritas
0.5.0-86+4a8eea4
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Sample from a uniform distribution. More...
#include <UniformRealDistribution.hh>
Public Types | |
Type aliases | |
using | real_type = RealType |
using | result_type = real_type |
Public Member Functions | |
CELER_FUNCTION | UniformRealDistribution () |
Construct on the interval [0, 1). More... | |
CELER_FUNCTION | UniformRealDistribution (real_type a, real_type b) |
Construct on the interval [a, b). | |
template<class Generator > | |
CELER_FUNCTION result_type | operator() (Generator &rng) const |
CELER_FUNCTION real_type | a () const |
Get the lower bound of the distribution. | |
CELER_FUNCTION real_type | b () const |
Get the upper bound of the distribution. | |
template<class Generator > | |
CELER_FUNCTION auto | operator() (Generator &rng) const -> result_type |
Sample a random number according to the distribution. | |
Sample from a uniform distribution.
This distribution is defined between two arbitrary real numbers a and b , and has a flat PDF between the two values. It is allowable for the two numbers to have reversed order. The normalized PDF is:
\[ f(x; a, b) = \frac{1}{b - a} \quad \mathrm{for} \ a \le x < b \]
which integrated into a CDF and inverted gives a sample:
\[ x = (b - a) \xi + a \]
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inline |
Construct on the interval [0, 1).
This constructor is generally unused because it's simpler and more efficient to directly call generate_canonical
. We leave it for compatibility with the standard.