A RandomNumberDistribution is a function object returning random numbers according to a probability density function p(x) or a discrete probability distribution P(xi).
[edit] RequirementsThe type D satisfies RandomNumberDistribution if
D satisfies CopyConstructibleD satisfies CopyAssignableGiven
T, the type named by D::result_typeP, the type named by D::param_type, whichD that take arguments corresponding to the distribution parametersD that returns a parameter of the distributiond, a value of type Dx and y, (possibly const) values of type Dp, a (possibly const) value of type Pg, g1, g2, lvalues of a type satisfying UniformRandomBitGeneratoros, lvalue of a specialization of std::basic_ostreamis, lvalue of a specialization of std::basic_istreamThe following expressions must be valid and have their specified effects
Expression Type Notes ComplexityD::result_type T An arithmetic type Compile-time D::param_type P Compile-time D() Creates a distribution indistinguishable from any other default-constructed D Constant D(p) Creates a distribution indistinguishable from D constructed directly from the values used to construct p Same as p's construction d.reset() void Resets the internal state of the distribution. The next call to operator() on d will not depend on values produced by any engine prior to reset() Constant x.param() P Returns p such that D(p).param() == p No worse than D(p) d.param(p) void Postcondition: d.param() == p No worse than D(p) d(g) T The sequence of numbers returned by successive invocations of this call with the same g are randomly distributed according to the distribution parametrized by d.param() Amortized constant number of invocations of g d(g,p) T The sequence of numbers returned by successive invocations of this call with the same g are randomly distributed according to the distribution parametrized by p Amortized constant number of invocations of g x.min() T The greatest lower bound on the values potentially returned by xâs operator(), as determined by the current values of xâs parameters Constant x.max() T The least upper bound on the values potentially returned by xâs operator(), as determined by the current values of xâs parameters Constant x == y bool Establishes an equivalence relation. Returns true if x.param() == y.param() and future infinite sequences of values that would be generated by repeated invocations of x(g1) and y(g2) would be equal as long as g1 == g2 Constant x != y bool !(x == y) Constant os << x Reference to the type of os Writes a textual representation of the distribution parameters and internal state to os. The formatting flags and fill character of os are unchanged is >> d Reference to the type of is Restores the distribution parameters and internal state with data read from is. The formatting flags of is are unchanged. The data must have been written using a stream with the same locale, CharT and Traits stream template parameters, otherwise the behavior is undefined. If bad input is encountered, is.setstate(std::ios::failbit) is called, which may throw std::ios_base::failure. d is unchanged in that case [edit] Notes
The parameters of a distribution object may be changed either permanently, by using d.param(p) or just for the duration of a single operator() call, by using d(g,p).
Calls to const member functions of the distribution and os << d do not affect the sequence of numbers produced by repeated d(g).
[edit] Standard libraryThe following standard library components satisfy RandomNumberDistribution
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