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std::exponential_distribution

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C++
 
Numerik-Bibliothek
Gemeinsame mathematischen Funktionen
Floating-Point-Umgebung
Komplexe Zahlen
Numerische Arrays
Pseudo-Zufallszahlen
Compile-time rationale Arithmetik (C++11)
Generische numerische Operationen
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Generic numeric operations
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iota(C++11)
accumulate
inner_product
adjacent_difference
partial_sum
 
Pseudo-Zufallszahlen
Motoren und Adaptern
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Engines and engine adaptors
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linear_congruential_engine(C++11)
mersenne_twister_engine(C++11)
subtract_with_carry_engine(C++11)
discard_block_engine(C++11)
independent_bits_engine(C++11)
shuffle_order_engine(C++11)
Generatoren
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Generators
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random_device(C++11)
Ausschüttungen
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Distributions
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Uniform-Distributionen
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Uniform distributions
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uniform_int_distribution(C++11)
uniform_real_distribution(C++11)
generate_canonical(C++11)
Bernoulli-Distributionen
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Bernoulli distributions
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bernoulli_distribution(C++11)
binomial_distribution(C++11)
negative_binomial_distribution(C++11)
geometric_distribution(C++11)
Poisson-Verteilungen
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Poisson distributions
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poisson_distribution(C++11)
exponential_distribution(C++11)
gamma_distribution(C++11)
weibull_distribution(C++11)
extreme_value_distribution(C++11)
Normalverteilungen
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Normal distributions
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normal_distribution(C++11)
lognormal_distribution(C++11)
chi_squared_distribution(C++11)
cauchy_distribution(C++11)
fisher_f_distribution(C++11)
student_t_distribution(C++11)
Sampling-Distributionen
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Sampling distributions
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discrete_distribution(C++11)
piecewise_constant_distribution(C++11)
piecewise_linear_distribution(C++11)
Seed-Sequenzen
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Seed Sequences
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seed_seq(C++11)
C-Bibliothek
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C library
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rand
srand
RAND_MAX
 
std::exponential_distribution
Member-Funktionen
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Member functions
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exponential_distribution::exponential_distribution
exponential_distribution::reset
Generation
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Generation
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exponential_distribution::operator()
Merkmale
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Characteristics
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exponential_distribution::lambda
exponential_distribution::param
exponential_distribution::min
exponential_distribution::max
Non-Member-Funktionen
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Non-member functions
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operator==
operator!=
operator<<
operator>>
 
definiert in Header <random>
template< class RealType = double >
class exponential_distribution;
 (seit C++11)
Erzeugt zufällige nichtnegative Gleitkommawerten x, verteilt nach Wahrscheinlichkeitsdichtefunktion:
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Produces random non-negative floating-point values x, distributed according to probability density function:
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P(x|λ) = λe-λx
Der erhaltene Wert ist die Zeit / Abstand bis zur nächsten zufälligen Ereignisses, wenn zufällige Ereignisse bei konstanter Rate λ pro Zeiteinheit / Distanz auftreten. Zum Beispiel beschreibt diese Verteilung die Zeit zwischen den Klicks einen Geigerzähler oder der Abstand zwischen Punktmutationen in einem DNA-Strang .
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The value obtained is the time/distance until the next random event if random events occur at constant rate λ per unit of time/distance. For example, this distribution describes the time between the clicks of a Geiger counter or the distance between point mutations in a DNA strand.
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Dies ist die kontinuierliche Gegenstück std::geometric_distribution
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This is the continuous counterpart of std::geometric_distribution
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Inhaltsverzeichnis

[Bearbeiten] Mitglied Typen

Mitglied Typ
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Member type
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 Definition
result_type RealType
param_type
die Art des Parametersatzes, nicht näher bezeichnet
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the type of the parameter set, unspecified
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[Bearbeiten] Member-Funktionen

 erzeugt eine neue Verteilung
(öffentliche Elementfunktion) [edit]
setzt den internen Zustand der Verteilung
Original:
resets the internal state of the distribution
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(öffentliche Elementfunktion) [edit]
Generation
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Generation
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erzeugt das nächste Zufallszahl in der Verteilung
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generates the next random number in the distribution
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(öffentliche Elementfunktion) [edit]
Merkmale
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Characteristics
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gibt das Lambda Verteilung Parameter (Rate der Ereignisse)
Original:
returns the lambda distribution parameter (rate of events)
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(öffentliche Elementfunktion) [edit]
ab oder legt die Verteilung Parameter-Objekt
Original:
gets or sets the distribution parameter object
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(öffentliche Elementfunktion) [edit]
gibt das Minimum potentiell generierten Wert
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returns the minimum potentially generated value
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(öffentliche Elementfunktion) [edit]
gibt die maximale potentiell generierten Wert
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returns the maximum potentially generated value
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(öffentliche Elementfunktion) [edit]

[Bearbeiten] Non-Member-Funktionen
vergleicht zwei Verteilung Objekte
Original:
compares two distribution objects
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(Funktion) [edit]
Stream führt Eingabe und Ausgabe auf Pseudozufallszahl Verteilung
Original:
performs stream input and output on pseudo-random number distribution
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(Funktion) [edit]

[Bearbeiten] Beispiel

#include <iostream>
#include <iomanip>
#include <string>
#include <map>
#include <random>
int main()
{
    std::random_device rd;
    std::mt19937 gen(rd());
 
    // if particles decay once per second on average,
    // how much time, in seconds, until the next one?
    std::exponential_distribution<> d(1);
 
    std::map<int, int> hist;
    for(int n=0; n<10000; ++n) {
        ++hist[2*d(gen)];
    }
    for(auto p : hist) {
        std::cout << std::fixed << std::setprecision(1) 
                  << p.first/2.0 << '-' << (p.first+1)/2.0 <<
                ' ' << std::string(p.second/200, '*') << '\n';
    }

Output: 

0.0-0.5 *******************
0.5-1.0 ***********
1.0-1.5 *******
1.5-2.0 ****
2.0-2.5 **
2.5-3.0 *
3.0-3.5 
3.5-4.0

[Bearbeiten] Externer Links

Weisstein, Eric W. "Exponential Distribution." Von MathWorld - A Wolfram Web Resource .
Original:
Weisstein, Eric W. "Exponential Distribution." From MathWorld--A Wolfram Web Resource.
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Von „https://de.cppreference.com/mwiki/index.php?title=cpp/numeric/random/exponential_distribution&oldid=27505“