Standard library header <random> (C++11)
This header is part of the pseudo-random number generation library.
Includes | |
(C++11) |
std::initializer_list class template |
Concepts | |
Uniform random bit generator requirements | |
(C++20) |
specifies that a type qualifies as a uniform random bit generator (concept) |
Classes | |
Random number engines | |
(C++11) |
implements linear congruential algorithm (class template) |
(C++11) |
implements Mersenne twister algorithm (class template) |
(C++11) |
implements a subtract-with-carry (lagged Fibonacci) algorithm (class template) |
(C++26) |
a counter-based parallelizable generator (class template) |
Random number engine adaptors | |
(C++11) |
discards some output of a random number engine (class template) |
(C++11) |
packs the output of a random number engine into blocks of a specified number of bits (class template) |
(C++11) |
delivers the output of a random number engine in a different order (class template) |
Predefined generators | |
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)
|
|
mt19937 (C++11)
|
|
mt19937_64 (C++11)
|
|
ranlux24_base (C++11)
|
std::subtract_with_carry_engine<std::uint_fast32_t, 24, 10, 24>
|
ranlux48_base (C++11)
|
std::subtract_with_carry_engine<std::uint_fast64_t, 48, 5, 12>
|
ranlux24 (C++11)
|
std::discard_block_engine<std::ranlux24_base, 223, 23>24-bit RANLUX generator by Martin Lüscher and Fred James, 1994 |
ranlux48 (C++11)
|
std::discard_block_engine<std::ranlux48_base, 389, 11>48-bit RANLUX generator by Martin Lüscher and Fred James, 1994 |
knuth_b (C++11)
|
std::shuffle_order_engine<std::minstd_rand0, 256>
|
philox4x32 (C++26)
|
std::philox_engine<std::uint_fast32_t, 32, 4, 10, 0xCD9E8D57, 0x9E3779B9, 0xD2511F53, 0xBB67AE85>
|
philox4x64 (C++26)
|
std::philox_engine<std::uint_fast64_t, 64, 4, 10, 0xCA5A826395121157, 0x9E3779B97F4A7C15, 0xD2E7470EE14C6C93, 0xBB67AE8584CAA73B>
|
default_random_engine(C++11)
|
an implementation-defined RandomNumberEngine type |
Non-deterministic random numbers | |
(C++11) |
non-deterministic random number generator using hardware entropy source (class) |
Uniform distributions | |
(C++11) |
produces integer values evenly distributed across a range (class template) |
(C++11) |
produces real values evenly distributed across a range (class template) |
Bernoulli distributions | |
(C++11) |
produces bool values on a Bernoulli distribution (class) |
(C++11) |
produces integer values on a binomial distribution (class template) |
| produces integer values on a negative binomial distribution (class template) | |
(C++11) |
produces integer values on a geometric distribution (class template) |
Poisson distributions | |
(C++11) |
produces integer values on a Poisson distribution (class template) |
(C++11) |
produces real values on an exponential distribution (class template) |
(C++11) |
produces real values on a gamma distribution (class template) |
(C++11) |
produces real values on a Weibull distribution (class template) |
(C++11) |
produces real values on an extreme value distribution (class template) |
Normal distributions | |
(C++11) |
produces real values on a standard normal (Gaussian) distribution (class template) |
(C++11) |
produces real values on a lognormal distribution (class template) |
(C++11) |
produces real values on a chi-squared distribution (class template) |
(C++11) |
produces real values on a Cauchy distribution (class template) |
(C++11) |
produces real values on a Fisher's F-distribution (class template) |
(C++11) |
produces real values on a Student's t-distribution (class template) |
Sampling distributions | |
(C++11) |
produces integer values on a discrete distribution (class template) |
| produces real values distributed on constant subintervals (class template) | |
| produces real values distributed on defined subintervals (class template) | |
Utilities | |
(C++11) |
general-purpose bias-eliminating scrambled seed sequence generator (class) |
Functions | |
(C++11) |
evenly distributes real values of given precision across [0, 1) (function template) |
(C++26) |
fills a range with random numbers from a uniform random bit generator (algorithm function object) |
Synopsis
#include <initializer_list>
namespace std {
// uniform random bit generator requirements
template<class G>
concept uniform_random_bit_generator = /* see description */; // freestanding
// class template linear_congruential_engine
template<class UIntType, UIntType a, UIntType c, UIntType m>
class linear_congruential_engine; // partially freestanding
// class template mersenne_twister_engine
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; // partially freestanding
// class template subtract_with_carry_engine
template<class UIntType, size_t w, size_t s, size_t r>
class subtract_with_carry_engine; // partially freestanding
// class template discard_block_engine
template<class Engine, size_t p, size_t r>
class discard_block_engine; // partially freestanding
// class template independent_bits_engine
template<class Engine, size_t w, class UIntType>
class independent_bits_engine; // partially freestanding
// class template shuffle_order_engine
template<class Engine, size_t k>
class shuffle_order_engine;
// class template philox_engine
template<class UIntType, size_t w, size_t n, size_t r, UIntType... consts>
class philox_engine; // partially freestanding
// engines and engine adaptors with predefined parameters
using minstd_rand0 = /* see description */; // freestanding
using minstd_rand = /* see description */; // freestanding
using mt19937 = /* see description */; // freestanding
using mt19937_64 = /* see description */; // freestanding
using ranlux24_base = /* see description */; // freestanding
using ranlux48_base = /* see description */; // freestanding
using ranlux24 = /* see description */; // freestanding
using ranlux48 = /* see description */; // freestanding
using knuth_b = /* see description */;
using philox4x32 = /* see description */; // freestanding
using philox4x64 = /* see description */; // freestanding
using default_random_engine = /* see description */;
// class random_device
class random_device;
// class seed_seq
class seed_seq;
// function template generate_canonical
template<class RealType, size_t digits, class URBG>
RealType generate_canonical(URBG& g);
namespace ranges {
// generate_random
template<class R, class G>
requires output_range<R, invoke_result_t<G&>> &&
uniform_random_bit_generator<remove_cvref_t<G>>
constexpr borrowed_iterator_t<R> generate_random(R&& r, G&& g);
template<class G, output_iterator<invoke_result_t<G&>> O, sentinel_for<O> S>
requires uniform_random_bit_generator<remove_cvref_t<G>>
constexpr O generate_random(O first, S last, G&& g);
template<class R, class G, class D>
requires output_range<R, invoke_result_t<D&, G&>> && invocable<D&, G&> &&
uniform_random_bit_generator<remove_cvref_t<G>> &&
is_arithmetic_v<invoke_result_t<D&, G&>>
constexpr borrowed_iterator_t<R> generate_random(R&& r, G&& g, D&& d);
template<class G, class D,
output_iterator<invoke_result_t<D&, G&>> O, sentinel_for<O> S>
requires invocable<D&, G&> && uniform_random_bit_generator<remove_cvref_t<G>> &&
is_arithmetic_v<invoke_result_t<D&, G&>>
constexpr O generate_random(O first, S last, G&& g, D&& d);
}
// class template uniform_int_distribution
template<class IntType = int>
class uniform_int_distribution; // partially freestanding
// class template uniform_real_distribution
template<class RealType = double>
class uniform_real_distribution;
// class bernoulli_distribution
class bernoulli_distribution;
// class template binomial_distribution
template<class IntType = int>
class binomial_distribution;
// class template geometric_distribution
template<class IntType = int>
class geometric_distribution;
// class template negative_binomial_distribution
template<class IntType = int>
class negative_binomial_distribution;
// class template poisson_distribution
template<class IntType = int>
class poisson_distribution;
// class template exponential_distribution
template<class RealType = double>
class exponential_distribution;
// class template gamma_distribution
template<class RealType = double>
class gamma_distribution;
// class template weibull_distribution
template<class RealType = double>
class weibull_distribution;
// class template extreme_value_distribution
template<class RealType = double>
class extreme_value_distribution;
// class template normal_distribution
template<class RealType = double>
class normal_distribution;
// class template lognormal_distribution
template<class RealType = double>
class lognormal_distribution;
// class template chi_squared_distribution
template<class RealType = double>
class chi_squared_distribution;
// class template cauchy_distribution
template<class RealType = double>
class cauchy_distribution;
// class template fisher_f_distribution
template<class RealType = double>
class fisher_f_distribution;
// class template student_t_distribution
template<class RealType = double>
class student_t_distribution;
// class template discrete_distribution
template<class IntType = int>
class discrete_distribution;
// class template piecewise_constant_distribution
template<class RealType = double>
class piecewise_constant_distribution;
// class template piecewise_linear_distribution
template<class RealType = double>
class piecewise_linear_distribution;
}
Concept uniform_random_bit_generator
namespace std {
template<class G>
concept uniform_random_bit_generator =
invocable<G&> && unsigned_integral<invoke_result_t<G&>> && requires {
{
G::min()
} -> same_as<invoke_result_t<G&>>;
{
G::max()
} -> same_as<invoke_result_t<G&>>;
requires bool_constant<(G::min() < G::max())>::value;
};
}
Class template std::linear_congruential_engine
namespace std {
template<class UIntType, UIntType a, UIntType c, UIntType m>
class linear_congruential_engine
{
public:
// types
using result_type = UIntType;
// engine characteristics
static constexpr result_type multiplier = a;
static constexpr result_type increment = c;
static constexpr result_type modulus = m;
static constexpr result_type min() { return c == 0u ? 1u : 0u; }
static constexpr result_type max() { return m - 1u; }
static constexpr result_type default_seed = 1u;
// constructors and seeding functions
linear_congruential_engine()
: linear_congruential_engine(default_seed)
{
}
explicit linear_congruential_engine(result_type s);
template<class Sseq>
explicit linear_congruential_engine(Sseq& q);
void seed(result_type s = default_seed);
template<class Sseq>
void seed(Sseq& q);
// equality operators
friend bool operator==(const linear_congruential_engine& x,
const linear_congruential_engine& y);
// generating functions
result_type operator()();
void discard(unsigned long long z);
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>&
operator<<(basic_ostream<CharT, Traits>& os, // hosted
const linear_congruential_engine& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>&
operator>>(basic_istream<CharT, Traits>& is, // hosted
linear_congruential_engine& x);
};
}
Class template std::mersenne_twister_engine
namespace std {
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
{
public:
// types
using result_type = UIntType;
// engine characteristics
static constexpr size_t word_size = w;
static constexpr size_t state_size = n;
static constexpr size_t shift_size = m;
static constexpr size_t mask_bits = r;
static constexpr UIntType xor_mask = a;
static constexpr size_t tempering_u = u;
static constexpr UIntType tempering_d = d;
static constexpr size_t tempering_s = s;
static constexpr UIntType tempering_b = b;
static constexpr size_t tempering_t = t;
static constexpr UIntType tempering_c = c;
static constexpr size_t tempering_l = l;
static constexpr UIntType initialization_multiplier = f;
static constexpr result_type min() { return 0; }
static constexpr result_type max() { return /*2^w - 1*/; }
static constexpr result_type default_seed = 5489u;
// constructors and seeding functions
mersenne_twister_engine()
: mersenne_twister_engine(default_seed)
{
}
explicit mersenne_twister_engine(result_type value);
template<class Sseq>
explicit mersenne_twister_engine(Sseq& q);
void seed(result_type value = default_seed);
template<class Sseq>
void seed(Sseq& q);
// equality operators
friend bool operator==(const mersenne_twister_engine& x,
const mersenne_twister_engine& y);
// generating functions
result_type operator()();
void discard(unsigned long long z);
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>&
operator<<(basic_ostream<CharT, Traits>& os, // hosted
const mersenne_twister_engine& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>&
operator>>(basic_istream<CharT, Traits>& is, // hosted
mersenne_twister_engine& x);
};
}
Class template std::subtract_with_carry_engine
namespace std {
template<class UIntType, size_t w, size_t s, size_t r>
class subtract_with_carry_engine
{
public:
// types
using result_type = UIntType;
// engine characteristics
static constexpr size_t word_size = w;
static constexpr size_t short_lag = s;
static constexpr size_t long_lag = r;
static constexpr result_type min() { return 0; }
static constexpr result_type max() { return /*m - 1*/; }
static constexpr uint_least32_t default_seed = 19780503u;
// constructors and seeding functions
subtract_with_carry_engine()
: subtract_with_carry_engine(0u)
{
}
explicit subtract_with_carry_engine(result_type value);
template<class Sseq>
explicit subtract_with_carry_engine(Sseq& q);
void seed(result_type value = 0u);
template<class Sseq>
void seed(Sseq& q);
// equality operators
friend bool operator==(const subtract_with_carry_engine& x,
const subtract_with_carry_engine& y);
// generating functions
result_type operator()();
void discard(unsigned long long z);
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>&
operator<<(basic_ostream<CharT, Traits>& os, // hosted
const subtract_with_carry_engine& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>&
operator>>(basic_istream<CharT, Traits>& is, // hosted
subtract_with_carry_engine& x);
};
}
Class template std::philox_engine
namespace std {
template<class UIntType, size_t w, size_t n, size_t r, UIntType... consts>
class philox_engine
{
static constexpr size_t /*array-size*/ = n / 2; // exposition only
public:
// types
using result_type = UIntType;
// engine characteristics
static constexpr size_t word_size = w;
static constexpr size_t word_count = n;
static constexpr size_t round_count = r;
static constexpr array<result_type, /*array-size*/> multipliers;
static constexpr array < result_type, @exposition onlyid { array - size > }
@round_consts;
static constexpr result_type min() { return 0; }
static constexpr result_type max() { return m - 1; }
static constexpr result_type default_seed = 20111115u;
// constructors and seeding functions
philox_engine()
: philox_engine(default_seed)
{
}
explicit philox_engine(result_type value);
template<class Sseq>
explicit philox_engine(Sseq& q);
void seed(result_type value = default_seed);
template<class Sseq>
void seed(Sseq& q);
void set_counter(const array<result_type, n>& counter);
// equality operators
friend bool operator==(const philox_engine& x, const philox_engine& y);
// generating functions
result_type operator()();
void discard(unsigned long long z);
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>&
operator<<(basic_ostream<CharT, Traits>& os, // hosted
const philox_engine& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>&
operator>>(basic_istream<CharT, Traits>& is, // hosted
philox_engine& x);
};
}
Class template std::discard_block_engine
namespace std {
template<class Engine, size_t p, size_t r>
class discard_block_engine
{
public:
// types
using result_type = typename Engine::result_type;
// engine characteristics
static constexpr size_t block_size = p;
static constexpr size_t used_block = r;
static constexpr result_type min() { return Engine::min(); }
static constexpr result_type max() { return Engine::max(); }
// constructors and seeding functions
discard_block_engine();
explicit discard_block_engine(const Engine& e);
explicit discard_block_engine(Engine&& e);
explicit discard_block_engine(result_type s);
template<class Sseq>
explicit discard_block_engine(Sseq& q);
void seed();
void seed(result_type s);
template<class Sseq>
void seed(Sseq& q);
// equality operators
friend bool operator==(const discard_block_engine& x, const discard_block_engine& y);
// generating functions
result_type operator()();
void discard(unsigned long long z);
// property functions
const Engine& base() const noexcept { return e; }
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>&
operator<<(basic_ostream<CharT, Traits>& os, // hosted
const discard_block_engine& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>&
operator>>(basic_istream<CharT, Traits>& is, // hosted
discard_block_engine& x);
private:
Engine e; // exposition only
size_t n; // exposition only
};
}
Class template std::independent_bits_engine
namespace std {
template<class Engine, size_t w, class UIntType>
class independent_bits_engine
{
public:
// types
using result_type = UIntType;
// engine characteristics
static constexpr result_type min() { return 0; }
static constexpr result_type max() { return /*2^w - 1*/; }
// constructors and seeding functions
independent_bits_engine();
explicit independent_bits_engine(const Engine& e);
explicit independent_bits_engine(Engine&& e);
explicit independent_bits_engine(result_type s);
template<class Sseq>
explicit independent_bits_engine(Sseq& q);
void seed();
void seed(result_type s);
template<class Sseq>
void seed(Sseq& q);
// equality operators
friend bool operator==(const independent_bits_engine& x,
const independent_bits_engine& y);
// generating functions
result_type operator()();
void discard(unsigned long long z);
// property functions
const Engine& base() const noexcept { return e; }
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>&
operator<<(basic_ostream<CharT, Traits>& os, // hosted
const independent_bits_engine& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>&
operator>>(basic_istream<CharT, Traits>& is, // hosted
independent_bits_engine& x);
private:
Engine e; // exposition only
};
}
Class template std::shuffle_order_engine
namespace std {
template<class Engine, size_t k>
class shuffle_order_engine
{
public:
// types
using result_type = typename Engine::result_type;
// engine characteristics
static constexpr size_t table_size = k;
static constexpr result_type min() { return Engine::min(); }
static constexpr result_type max() { return Engine::max(); }
// constructors and seeding functions
shuffle_order_engine();
explicit shuffle_order_engine(const Engine& e);
explicit shuffle_order_engine(Engine&& e);
explicit shuffle_order_engine(result_type s);
template<class Sseq>
explicit shuffle_order_engine(Sseq& q);
void seed();
void seed(result_type s);
template<class Sseq>
void seed(Sseq& q);
// equality operators
friend bool operator==(const shuffle_order_engine& x, const shuffle_order_engine& y);
// generating functions
result_type operator()();
void discard(unsigned long long z);
// property functions
const Engine& base() const noexcept { return e; }
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const shuffle_order_engine& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
shuffle_order_engine& x);
private:
Engine e; // exposition only
result_type V[k]; // exposition only
result_type Y; // exposition only
};
}
Engines and engine adaptors with predefined parameters
namespace std {
using minstd_rand0 = linear_congruential_engine<uint_fast32_t, 16'807, 0, 2'147'483'647>;
using minstd_rand = linear_congruential_engine<uint_fast32_t, 48'271, 0, 2'147'483'647>;
using mt19937 = mersenne_twister_engine<uint_fast32_t,
32,
624,
397,
31,
0x9908'b0df,
11,
0xffff'ffff,
7,
0x9d2c'5680,
15,
0xefc6'0000,
18,
1'812'433'253>; //'
using mt19937_64 = mersenne_twister_engine<uint_fast64_t,
64,
312,
156,
31,
0xb502'6f5a'a966'19e9,
29,
0x5555'5555'5555'5555,
17,
0x71d6'7fff'eda6'0000,
37,
0xfff7'eee0'0000'0000,
43,
6'364'136'223'846'793'005>;
using ranlux24_base = subtract_with_carry_engine<uint_fast32_t, 24, 10, 24>;
using ranlux48_base = subtract_with_carry_engine<uint_fast64_t, 48, 5, 12>;
using ranlux24 = discard_block_engine<ranlux24_base, 223, 23>;
using ranlux48 = discard_block_engine<ranlux48_base, 389, 11>;
using knuth_b = shuffle_order_engine<minstd_rand0, 256>;
using default_random_engine = /* implementation-defined */;
using philox4x32 = philox_engine<uint_fast32_t,
32,
4,
10,
0xD2511F53,
0x9E3779B9,
0xCD9E8D57,
0xBB67AE85>;
using philox4x64 = philox_engine<uint_fast64_t,
64,
4,
10,
0xD2E7470EE14C6C93,
0x9E3779B97F4A7C15,
0xCA5A826395121157,
0xBB67AE8584CAA73B>;
}
Class std::random_device
namespace std {
class random_device
{
public:
// types
using result_type = unsigned int;
// generator characteristics
static constexpr result_type min() { return numeric_limits<result_type>::min(); }
static constexpr result_type max() { return numeric_limits<result_type>::max(); }
// constructors
random_device()
: random_device(/* implementation-defined */)
{
}
explicit random_device(const string& token);
// generating functions
result_type operator()();
// property functions
double entropy() const noexcept;
// no copy functions
random_device(const random_device&) = delete;
void operator=(const random_device&) = delete;
};
}
Class std::seed_seq
namespace std {
class seed_seq
{
public:
// types
using result_type = uint_least32_t;
// constructors
seed_seq() noexcept;
template<class T>
seed_seq(initializer_list<T> il);
template<class InputIter>
seed_seq(InputIter begin, InputIter end);
// generating functions
template<class RandomAccessIter>
void generate(RandomAccessIter begin, RandomAccessIter end);
// property functions
size_t size() const noexcept;
template<class OutputIter>
void param(OutputIter dest) const;
// no copy functions
seed_seq(const seed_seq&) = delete;
void operator=(const seed_seq&) = delete;
private:
vector<result_type> v; // exposition only
};
}
Class template std::uniform_int_distribution
namespace std {
template<class IntType = int>
class uniform_int_distribution
{
public:
// types
using result_type = IntType;
using param_type = /* unspecified */;
// constructors and reset functions
uniform_int_distribution()
: uniform_int_distribution(0)
{
}
explicit uniform_int_distribution(IntType a,
IntType b = numeric_limits<IntType>::max());
explicit uniform_int_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const uniform_int_distribution& x,
const uniform_int_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
result_type a() const;
result_type b() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>&
operator<<(basic_ostream<CharT, Traits>& os, // hosted
const uniform_int_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>&
operator>>(basic_istream<CharT, Traits>& is, // hosted
uniform_int_distribution& x);
};
}
Class template std::uniform_real_distribution
namespace std {
template<class RealType = double>
class uniform_real_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructors and reset functions
uniform_real_distribution()
: uniform_real_distribution(0.0)
{
}
explicit uniform_real_distribution(RealType a, RealType b = 1.0);
explicit uniform_real_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const uniform_real_distribution& x,
const uniform_real_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
result_type a() const;
result_type b() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const uniform_real_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
uniform_real_distribution& x);
};
}
Class std::bernoulli_distribution
namespace std {
class bernoulli_distribution
{
public:
// types
using result_type = bool;
using param_type = /* unspecified */;
// constructors and reset functions
bernoulli_distribution()
: bernoulli_distribution(0.5)
{
}
explicit bernoulli_distribution(double p);
explicit bernoulli_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const bernoulli_distribution& x,
const bernoulli_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
double p() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const bernoulli_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
bernoulli_distribution& x);
};
}
Class template std::binomial_distribution
namespace std {
template<class IntType = int>
class binomial_distribution
{
public:
// types
using result_type = IntType;
using param_type = /* unspecified */;
// constructors and reset functions
binomial_distribution()
: binomial_distribution(1)
{
}
explicit binomial_distribution(IntType t, double p = 0.5);
explicit binomial_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const binomial_distribution& x,
const binomial_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
IntType t() const;
double p() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const binomial_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
binomial_distribution& x);
};
}
Class template std::geometric_distribution
namespace std {
template<class IntType = int>
class geometric_distribution
{
public:
// types
using result_type = IntType;
using param_type = /* unspecified */;
// constructors and reset functions
geometric_distribution()
: geometric_distribution(0.5)
{
}
explicit geometric_distribution(double p);
explicit geometric_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const geometric_distribution& x,
const geometric_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
double p() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const geometric_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
geometric_distribution& x);
};
}
Class template std::negative_binomial_distribution
namespace std {
template<class IntType = int>
class negative_binomial_distribution
{
public:
// types
using result_type = IntType;
using param_type = /* unspecified */;
// constructor and reset functions
negative_binomial_distribution()
: negative_binomial_distribution(1)
{
}
explicit negative_binomial_distribution(IntType k, double p = 0.5);
explicit negative_binomial_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const negative_binomial_distribution& x,
const negative_binomial_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
IntType k() const;
double p() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(
basic_ostream<CharT, Traits>& os,
const negative_binomial_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
negative_binomial_distribution& x);
};
}
Class template std::poisson_distribution
namespace std {
template<class IntType = int>
class poisson_distribution
{
public:
// types
using result_type = IntType;
using param_type = /* unspecified */;
// constructors and reset functions
poisson_distribution()
: poisson_distribution(1.0)
{
}
explicit poisson_distribution(double mean);
explicit poisson_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const poisson_distribution& x, const poisson_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
double mean() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const poisson_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
poisson_distribution& x);
};
}
Class template std::exponential_distribution
namespace std {
template<class RealType = double>
class exponential_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructors and reset functions
exponential_distribution()
: exponential_distribution(1.0)
{
}
explicit exponential_distribution(RealType lambda);
explicit exponential_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const exponential_distribution& x,
const exponential_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
RealType lambda() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const exponential_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
exponential_distribution& x);
};
}
Class template std::gamma_distribution
namespace std {
template<class RealType = double>
class gamma_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructors and reset functions
gamma_distribution()
: gamma_distribution(1.0)
{
}
explicit gamma_distribution(RealType alpha, RealType beta = 1.0);
explicit gamma_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const gamma_distribution& x, const gamma_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
RealType alpha() const;
RealType beta() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const gamma_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
gamma_distribution& x);
};
}
Class template std::weibull_distribution
namespace std {
template<class RealType = double>
class weibull_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructor and reset functions
weibull_distribution()
: weibull_distribution(1.0)
{
}
explicit weibull_distribution(RealType a, RealType b = 1.0);
explicit weibull_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const weibull_distribution& x, const weibull_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
RealType a() const;
RealType b() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const weibull_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
weibull_distribution& x);
};
}
Class template std::extreme_value_distribution
namespace std {
template<class RealType = double>
class extreme_value_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructor and reset functions
extreme_value_distribution()
: extreme_value_distribution(0.0)
{
}
explicit extreme_value_distribution(RealType a, RealType b = 1.0);
explicit extreme_value_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const extreme_value_distribution& x,
const extreme_value_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
RealType a() const;
RealType b() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const extreme_value_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
extreme_value_distribution& x);
};
}
Class template std::normal_distribution
namespace std {
template<class RealType = double>
class normal_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructors and reset functions
normal_distribution()
: normal_distribution(0.0)
{
}
explicit normal_distribution(RealType mean, RealType stddev = 1.0);
explicit normal_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const normal_distribution& x, const normal_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
RealType mean() const;
RealType stddev() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const normal_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
normal_distribution& x);
};
}
Class template std::lognormal_distribution
namespace std {
template<class RealType = double>
class lognormal_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructor and reset functions
lognormal_distribution()
: lognormal_distribution(0.0)
{
}
explicit lognormal_distribution(RealType m, RealType s = 1.0);
explicit lognormal_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const lognormal_distribution& x,
const lognormal_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
RealType m() const;
RealType s() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const lognormal_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
lognormal_distribution& x);
};
}
Class template std::chi_squared_distribution
namespace std {
template<class RealType = double>
class chi_squared_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructor and reset functions
chi_squared_distribution()
: chi_squared_distribution(1.0)
{
}
explicit chi_squared_distribution(RealType n);
explicit chi_squared_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const chi_squared_distribution& x,
const chi_squared_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
RealType n() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const chi_squared_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
chi_squared_distribution& x);
};
}
Class template std::cauchy_distribution
namespace std {
template<class RealType = double>
class cauchy_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructor and reset functions
cauchy_distribution()
: cauchy_distribution(0.0)
{
}
explicit cauchy_distribution(RealType a, RealType b = 1.0);
explicit cauchy_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const cauchy_distribution& x, const cauchy_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
RealType a() const;
RealType b() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const cauchy_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
cauchy_distribution& x);
};
}
Class template std::fisher_f_distribution
namespace std {
template<class RealType = double>
class fisher_f_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructor and reset functions
fisher_f_distribution()
: fisher_f_distribution(1.0)
{
}
explicit fisher_f_distribution(RealType m, RealType n = 1.0);
explicit fisher_f_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const fisher_f_distribution& x,
const fisher_f_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
RealType m() const;
RealType n() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const fisher_f_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
fisher_f_distribution& x);
};
}
Class template std::student_t_distribution
namespace std {
template<class RealType = double>
class student_t_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructor and reset functions
student_t_distribution()
: student_t_distribution(1.0)
{
}
explicit student_t_distribution(RealType n);
explicit student_t_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const student_t_distribution& x,
const student_t_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
RealType n() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const student_t_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
student_t_distribution& x);
};
}
Class template std::discrete_distribution
namespace std {
template<class IntType = int>
class discrete_distribution
{
public:
// types
using result_type = IntType;
using param_type = /* unspecified */;
// constructor and reset functions
discrete_distribution();
template<class InputIter>
discrete_distribution(InputIter firstW, InputIter lastW);
discrete_distribution(initializer_list<double> wl);
template<class UnaryOperation>
discrete_distribution(size_t nw, double xmin, double xmax, UnaryOperation fw);
explicit discrete_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const discrete_distribution& x,
const discrete_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
vector<double> probabilities() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(basic_ostream<CharT, Traits>& os,
const discrete_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
discrete_distribution& x);
};
}
Class template std::piecewise_constant_distribution
namespace std {
template<class RealType = double>
class piecewise_constant_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructor and reset functions
piecewise_constant_distribution();
template<class InputIterB, class InputIterW>
piecewise_constant_distribution(InputIterB firstB,
InputIterB lastB,
InputIterW firstW);
template<class UnaryOperation>
piecewise_constant_distribution(initializer_list<RealType> bl, UnaryOperation fw);
template<class UnaryOperation>
piecewise_constant_distribution(size_t nw,
RealType xmin,
RealType xmax,
UnaryOperation fw);
explicit piecewise_constant_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const piecewise_constant_distribution& x,
const piecewise_constant_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
vector<result_type> intervals() const;
vector<result_type> densities() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(
basic_ostream<CharT, Traits>& os,
const piecewise_constant_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
piecewise_constant_distribution& x);
};
}
Class template std::piecewise_linear_distribution
namespace std {
template<class RealType = double>
class piecewise_linear_distribution
{
public:
// types
using result_type = RealType;
using param_type = /* unspecified */;
// constructor and reset functions
piecewise_linear_distribution();
template<class InputIterB, class InputIterW>
piecewise_linear_distribution(InputIterB firstB, InputIterB lastB, InputIterW firstW);
template<class UnaryOperation>
piecewise_linear_distribution(initializer_list<RealType> bl, UnaryOperation fw);
template<class UnaryOperation>
piecewise_linear_distribution(size_t nw,
RealType xmin,
RealType xmax,
UnaryOperation fw);
explicit piecewise_linear_distribution(const param_type& parm);
void reset();
// equality operators
friend bool operator==(const piecewise_linear_distribution& x,
const piecewise_linear_distribution& y);
// generating functions
template<class URBG>
result_type operator()(URBG& g);
template<class URBG>
result_type operator()(URBG& g, const param_type& parm);
// property functions
vector<result_type> intervals() const;
vector<result_type> densities() const;
param_type param() const;
void param(const param_type& parm);
result_type min() const;
result_type max() const;
// inserters and extractors
template<class CharT, class Traits>
friend basic_ostream<CharT, Traits>& operator<<(
basic_ostream<CharT, Traits>& os,
const piecewise_linear_distribution& x);
template<class CharT, class Traits>
friend basic_istream<CharT, Traits>& operator>>(basic_istream<CharT, Traits>& is,
piecewise_linear_distribution& x);
};
}