std::linear_congruential_engine
Defined in header <random> | ||
|---|---|---|
template<
class UIntType,
UIntType a,
UIntType c,
UIntType m
> class linear_congruential_engine;
| (since C++11) |
linear_congruential_engine is a random number engine based on Linear congruential generator (LCG).
Template parameters
| UIntType | - | The result type generated by the generator. The effect is undefined if this is not one of unsignedshort, unsignedint, unsignedlong, or unsignedlonglong. |
| a | - | the multiplier term |
| c | - | the increment term |
| m | - | the modulus term |
When m is not zero, if a >= m or c >= m is true, the program is ill-formed.
Generator properties
The size of the states of linear_congruential_engine is 1, each of them consists of a single integer.
The actual modulus \(\scriptsize m_0\)m0 is defined as follows:
- If
mis not zero, \(\scriptsize m_0\)m0 ism. - If
mis zero, \(\scriptsize m_0\)m0 is the value ofstd::numeric_limits<result_type>::max()plus1(which means \(\scriptsize m_0\)m0 need not be representable asresult_type).
The transition algorithm of linear_congruential_engine is \(\scriptsize TA(x_i) = (a \cdot x_i + c)\mod m_0\)TA(xi) = (a·xi+c) mod m0.
The generation algorithm of linear_congruential_engine is \(\scriptsize GA(x_i) = (a \cdot x_i + c)\mod m_0\)GA(xi) = (a·xi+c) mod m0.
The pseudo-random number generated with the current state is also the successor state.
Predefined specializations
The following specializations define the random number engine with two commonly used parameter sets:
Defined in header <random> |
|
|---|---|
| Type | Definition |
minstd_rand0 (C++11) |
std::linear_congruential_engine<std::uint_fast32_t, 16807,0,2147483647> Discovered in 1969 by Lewis, Goodman and Miller, adopted as "Minimal standard" in 1988 by Park and Miller |
minstd_rand (C++11) | std::linear_congruential_engine<std::uint_fast32_t, |
Nested types
| Type | Definition |
|---|---|
result_type |
UIntType |
Data members
|
constexpr UIntType multiplier
[static] |
a (public static member constant) |
|
constexpr UIntType increment
[static] |
c (public static member constant) |
|
constexpr UIntType modulus
[static] |
m (public static member constant) |
|
constexpr UIntType default_seed
[static] |
1u (public static member constant) |
Member functions
Construction and Seeding |
|
| constructs the engine (public member function) |
|
| sets the current state of the engine (public member function) |
|
Generation |
|
| advances the engine's state and returns the generated value (public member function) |
|
| advances the engine's state by a specified amount (public member function) |
|
Characteristics |
|
|
[static] | gets the smallest possible value in the output range (public static member function) |
|
[static] | gets the largest possible value in the output range (public static member function) |
Non-member functions
|
(C++11)(C++11)(removed in C++20) | compares the internal states of two pseudo-random number engines (function) |
|
(C++11) | performs stream input and output on pseudo-random number engine (function template) |
Example
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