std::mersenne_twister_engine

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Pseudo-random number generation
Engines and engine adaptors
mersenne_twister_engine
(C++11)
Generators
Distributions
Uniform distributions
Bernoulli distributions
Poisson distributions
Normal distributions
Sampling distributions
Seed Sequences
(C++11)
C library
 
 
Defined in header <random>
template<

    class UIntType,
    size_t w, size_t n, size_t m, size_t r,
    UIntType a, size_t u, UIntType d, size_t s,
    UIntType b, size_t t,
    UIntType c, size_t l, UIntType f

> class mersenne_twister_engine;
(since C++11)

mersenne_twister_engine is a random number engine based on Mersenne Twister algorithm. It produces high quality unsigned integer random numbers of type UIntType on the interval [0, 2w
-1]
.

The following type aliases define the random number engine with two commonly used parameter sets:

Defined in header <random>
Type Definition
mt19937

std::mersenne_twister_engine<std::uint_fast32_t, 32, 624, 397, 31,
                             0x9908b0df, 11,
                             0xffffffff, 7,
                             0x9d2c5680, 15,
                             0xefc60000, 18, 1812433253>

32-bit Mersenne Twister by Matsumoto and Nishimura, 1998

mt19937_64

std::mersenne_twister_engine<std::uint_fast64_t, 64, 312, 156, 31,
                             0xb5026f5aa96619e9, 29,
                             0x5555555555555555, 17,
                             0x71d67fffeda60000, 37,
                             0xfff7eee000000000, 43, 6364136223846793005>

64-bit Mersenne Twister by Matsumoto and Nishimura, 2000

Member types

Member type Definition
result_type The integral type generated by the engine. Results are undefined if this is not an unsigned integral type.

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

compares the internal states of two pseudo-random number engines
(function template)
performs stream input and output on pseudo-random number engine
(function template)

Member objects

constexpr size_t word_size
[static]
the template parameter w, determines the range of values generated by the engine.
(public static member constant)
constexpr size_t state_size
[static]
the template parameter n. The engine state is n values of UIntType
(public static member constant)
constexpr size_t shift_size
[static]
the template parameter m
(public static member constant)
constexpr size_t mask_bits
[static]
the template parameter r, also known as the twist value.
(public static member constant)
constexpr UIntType xor_mask
[static]
the template parameter a, the conditional xor-mask.
(public static member constant)
constexpr size_t tempering_u
[static]
the template parameter u, first component of the bit-scrambling (tempering) matrix
(public static member constant)
constexpr UIntType tempering_d
[static]
the template parameter d, second component of the bit-scrambling (tempering) matrix
(public static member constant)
constexpr size_t tempering_s
[static]
the template parameter s, third component of the bit-scrambling (tempering) matrix
(public static member constant)
constexpr UIntType tempering_b
[static]
the template parameter b, fourth component of the bit-scrambling (tempering) matrix
(public static member constant)
constexpr size_t tempering_t
[static]
the template parameter t, fifth component of the bit-scrambling (tempering) matrix
(public static member constant)
constexpr UIntType tempering_c
[static]
the template parameter c, sixth component of the bit-scrambling (tempering) matrix
(public static member constant)
constexpr size_t tempering_l
[static]
the template parameter l, seventh component of the bit-scrambling (tempering) matrix
(public static member constant)
constexpr UIntType initialization_multiplier
[static]
the template parameter f
(public static member constant)
constexpr UIntType default_seed
[static]
the constant value 5489u
(public static member constant)

Notes

The 10000th consecutive invocation of a default-contructed std::mt19937 is required to produce the value 4123659995.

The 10000th consecutive invocation of a default-contructed std::mt19937_64 is required to produce the value 9981545732273789042