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Showing content from https://cplusplus.com/reference/random/mt19937/ below:

class

<random>

std::mt19937
typedef mersenne_twister_engine<uint_fast32_t,  32,624,397,31,0x9908b0df,11,0xffffffff,7,0x9d2c5680,15,0xefc60000,18,1812433253>  mt19937;

Mersenne Twister 19937 generator

A Mersenne Twister pseudo-random generator of 32-bit numbers with a state size of 19937 bits.

It is an instantiation of the mersenne_twister_engine with the following template parameters:


parameter name value UIntType result type uint_fast32_t w word size 32 n state size 624 m shift size 397 r mask bits 31 a XOR mask 0x9908b0df u tempering u 11 d tempering d 0xffffffff s tempering s 7 b tempering b 0x9d2c5680 t tempering t 15 c tempering c 0xefc60000 l tempering l 18 f initialization multiplier 1812433253
Member types The following alias is a member type of mt19937:

member type definition notes result_type uint_fast32_t The type of the numbers generated.


Member functions As a mersenne_twister_engine type, it has the following member functions:
(constructor)
Construct mersenne twister engine (public member function)
min
Minimum value (public static member function)
max
Maximum value (public static member function)
seed
Seed engine (public member function)
operator()
Generate random number (public member function)
discard
Advance internal state (public member function)

Non-member functions As a mersenne_twister_engine type, the following operator overloads may be applied to it:
operator<<
Insert into output stream (function template)
operator>>
Extract from input stream (function template)
relational operators
Relational operators (function template)

Member constexpr constants member constant definition notes word_size 32 The number of bits of each word in the state sequence. state_size 624 The number of elements in the state sequence (degree of recurrence). shift_size 397 The shift size used on twists to transform the values. mask_bits 31 The number of bits that mark the separation point of words on each twist. xor_mask 0x9908b0df The XOR mask applied as the linear function on each twist. tempering_u 11 The shift size of parameter u used in the tempering process of the generation algorithm. tempering_d 0xffffffff The XOR mask used as parameter d in the tempering process of the generation algorithm. tempering_s 7 The shift size of parameter s used in the tempering process of the generation algorithm. tempering_b 0x9d2c5680 The XOR mask used as parameter b in the tempering process of the generation algorithm. tempering_t 15 The shift size of parameter t used in the tempering process of the generation algorithm. tempering_c 0xefc60000 The XOR mask used as parameter c in the tempering process of the generation algorithm. tempering_l 18 The shift size of parameter l used in the tempering process of the generation algorithm. initialization_multiplier 1812433253 The initialization multiplier used to seed the state sequence when a single value is used as seed. default_seed 5489u The default seed used on construction or seeding.
See also
mersenne_twister_engine
Mersenne twister random number engine (class template)

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