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Pseudo-random number generation – cppreference.com

Die Zufallszahlenbibliothek stellt verschiedene Generatoren (Engines) zur Verfügung, die ganzzahlige Sequenzen mit einer gleichmäßigen Verteilung erzeugen (Pseudozufallszahlen und echte Zufallszahlen, falls verfügbar). Zusätzlich gibt es verschiedene Verteilungsklassen, die die generierten gleichmäßigen Verteilungen auf verschiedene statistische Verteilungen abbilden.

Original:

The random number library provides a set of generator engines (both pseudo-random number generators, which generate integer sequences with a uniform distribution, and true random number generators if available) and a set of random number distribution classes which convert the uniform distribution of the generator engines into various statistical distributions.

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Jeder der Generatoren kann für wiederholbare Simulationen gezielt initialisiert, serialisiert und deserialisiert werden.

Original:

All of the generator engines may be specifically seeded, serialized, and deserialized for use with repeatable simulators.

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Zufallszahl Generatoren

Zufallszahl Generatoren erzeugen Pseudozufallszahlen mit Seed-Daten als Entropiequelle. Mehrere verschiedene Klassen von Pseudo-Zufallszahlen-Algorithmen sind als Matrizen, die angepasst werden können, umgesetzt .

Original:

Random number engines generate pseudo-random numbers using seed data as entropy source. Several different classes of pseudo-random number generation algorithms are implemented as templates that can be customized.

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Die Wahl eines Generators ist immer mit einem Kompromiss verbunden: Die lineare Kongruenz Generator ist mäßig schnell und hat einen sehr geringen Speicherbedarf für Zustand. Die verzögerten Fibonacci-Generatoren sind sehr schnell auch auf Prozessoren ohne erweiterte Arithmetik Befehlssätze, auf Kosten der größeren Zustandsspeichereinrichtung und manchmal weniger wünschenswert Spektraleigenschaften. Die Mersenne Twister ist langsamer und hat eine größere staatliche Storage-Anforderungen, aber mit den richtigen Parametern hat die längste nicht wiederholenden Sequenz mit den begehrtesten spektralen Eigenschaften (für eine gegebene Definition wünschenswert) .

Original:

The choice of which engine to use involves a number of tradeoffs: the linear congruential engine is moderately fast and has a very small storage requirement for state. The lagged Fibonacci generators are very fast even on processors without advanced arithmetic instruction sets, at the expense of greater state storage and sometimes less desirable spectral characteristics. The Mersenne twister is slower and has greater state storage requirements but with the right parameters has the longest non-repeating sequence with the most desirable spectral characteristics (for a given definition of desirable).

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definiert in Header <random>

implementiert linearen Kongruenz Algorithmus

Original:

implements linearen Kongruenz algorithm

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(Klassen-Template)

implementiert Mersenne Twister Algorithmus

Original:

implements Mersenne Twister algorithm

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(Klassen-Template)

Geräte mit zu tragen (a zurückgeblieben Fibonacci)-Algorithmus zu subtrahieren

Original:

implements subtract with carry (a zurückgeblieben Fibonacci) algorithm

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(Klassen-Template)

Zufallszahl-Motor-Adapter

Zufallszahl Motors Adaptern erzeugen Pseudozufallszahlen mit einem anderen Motor als Zufallszahl Entropiequelle. Sie werden im allgemeinen verwendet, um die spektralen Eigenschaften des darunterliegenden Motors verändern .

Original:

Random number engine adaptors generate pseudo-random numbers using another random number engine as entropy source. They are generally used to alter the spectral characteristics of the underlying engine.

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definiert in Header <random>

verwirft eine Ausgabe einer Zufallszahl Motor

Original:

discards some output of a random number engine

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(Klassen-Template)

packt die Ausgabe einer Zufallszahl Motors in Blöcke von vorgegebenen Bitzahl

Original:

packs the output of a random number engine into blocks of specified number of bits

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(Klassen-Template)

liefert die Ausgabe einer Zufallszahl Motors in unterschiedlicher Reihenfolge

Original:

delivers the output of a random number engine in different order

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(Klassen-Template)

Vordefinierte Zufallszahlengeneratoren

Mehrere spezifische populäre Algorithmen sind vordefinierte .

Original:

Several specific popular algorithms are predefined.

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definiert in Header <random>

Type

Original:

Type

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Definition
minstd_rand0 std::linear_congruential_engine<uint_fast32_t, 16807, 0, 2147483647>
minstd_rand std::linear_congruential_engine<uint_fast32_t, 48271, 0, 2147483647>
mt19937 std::mersenne_twister_engine<uint_fast32_t, 32, 624, 397, 31, 0x9908b0df, 11, 0xffffffff, 7, 0x9d2c5680, 15, 0xefc60000, 18, 1812433253>
mt19937_64 std::mersenne_twister_engine<uint_fast64_t, 64, 312, 156, 31, 0xb5026f5aa96619e9, 29, 0x5555555555555555, 17, 0x71d67fffeda60000, 37, 0xfff7eee000000000, 43, 6364136223846793005>
ranlux24_base std::subtract_with_carry_engine<uint_fast32_t, 24, 10, 24>
ranlux48_base std::subtract_with_carry_engine<uint_fast64_t, 48, 5, 12>
ranlux24 std::discard_block_engine<ranlux24_base, 223, 23>
ranlux48 std::discard_block_engine<ranlux48_base, 389, 11>
knuth_b std::shuffle_order_engine<minstd_rand0, 256>
default_random_engine

Implementierung definiert

Original:

implementation-defined

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nicht-deterministische Zufallszahlengenerator mit Hardware Entropie-Quelle

Original:

non-deterministic random number generator using hardware entropy source

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(Klasse)

Zufallszahlenverteilungen

Zufallszahlenverteilungen sind Nachbearbeitung der Ausgabe einer Zufallszahl Motors oder Adapter derart, daß daraus resultierende Ausgabe auf einer definierten statistischen Wahrscheinlichkeitsdichtefunktion verteilt wird .

Original:

Random number distributions are post-process the output of an random number engine or adaptors in such a way that resulting output is distributed on a defined statistical probability density function.

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definiert in Header <random>

Uniform-Distributionen

Original:

Uniform distributions

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produziert Integer-Werte gleichmäßig über einen Bereich verteilt

Original:

produces integer values evenly distributed across a range

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(Klassen-Template)

produziert echte Werte gleichmäßig über einen Bereich verteilt

Original:

produces real values evenly distributed across a range

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(Klassen-Template) [edit]

gleichmäßig verteilt wahren Werte der angegebenen Genauigkeit über [0, 1)

Original:

evenly distributes real values of given precision across [0, 1)

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(Funktions-Template) [edit]

Bernoulli-Distributionen

Original:

Bernoulli distributions

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produziert bool Werte auf einer Bernoulli-Verteilung .

Original:

produces bool values on a Bernoulli-Verteilung.

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(Klasse)

produziert Integer-Werte auf einem Binomialverteilung .

Original:

produces integer values on a Binomialverteilung.

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(Klassen-Template)

produziert Integer-Werte auf einem negative Binomialverteilung .

Original:

produces integer values on a negative Binomialverteilung.

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(Klassen-Template)

produziert Integer-Werte auf einem geometrischen Verteilung .

Original:

produces integer values on a geometrischen Verteilung.

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(Klassen-Template)

Poisson-Verteilungen

Original:

Poisson distributions

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produziert Integer-Werte auf einem Poisson-Verteilung .

Original:

produces integer values on a Poisson-Verteilung.

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(Klassen-Template)

produziert realen Werten auf einer Exponentialverteilung .

Original:

produces real values on an Exponentialverteilung.

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(Klassen-Template)

produziert realen Werten auf einer Gamma-Verteilung .

Original:

produces real values on an Gamma-Verteilung.

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(Klassen-Template)

produziert realen Werten auf einem Weibull-Verteilung .

Original:

produces real values on a Weibull-Verteilung.

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(Klassen-Template)

produziert realen Werten auf einer Extremwertverteilung .

Original:

produces real values on an Extremwertverteilung.

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(Klassen-Template)

Normalverteilungen

Original:

Normal distributions

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produziert realen Werten auf einem Standardnormalverteilung (Gauß-) Verteilung .

Original:

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(Klassen-Template)

produziert realen Werten auf einem Lognormalverteilung .

Original:

produces real values on a Lognormalverteilung.

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(Klassen-Template)

produziert realen Werten auf einem Chi-Quadrat-Verteilung .

Original:

produces real values on a Chi-Quadrat-Verteilung.

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(Klassen-Template)

produziert realen Werten auf einem Cauchy-Verteilung .

Original:

produces real values on a Cauchy-Verteilung.

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(Klassen-Template)

produziert realen Werten auf einem Fisher F-Verteilung .

Original:

produces real values on a Fisher F-Verteilung.

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(Klassen-Template)

produziert realen Werten auf einem Student-t-Verteilung .

Original:

produces real values on a Student-t-Verteilung.

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(Klassen-Template)

Sampling-Distributionen

Original:

Sampling distributions

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produziert Zufallszahlen auf einem diskreten Verteilung .

Original:

produces random integers on a discrete distribution.

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(Klassen-Template)

produziert realen Werten auf Basis konstanter Teilintervalle verteilt .

Original:

produces real values distributed on constant subintervals.

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(Klassen-Template)

produziert echte Werte definiert Teilintervalle verteilt .

Original:

produces real values distributed on defined subintervals.

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(Klassen-Template)

Vordefinierte Seed-Sequenz-Generatoren

Allzweck-Bias-Beseitigung verschlüsselte Seed-Sequenz-Generator

Original:

general-purpose bias-eliminating scrambled seed sequence generator

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(Klasse)

C-Bibliothek

definiert in Header <cstdlib>

erzeugt einen Pseudo-Zufallszahlengenerator

Original:

generates a pseudo-random number

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(Funktion) [edit]

initialisiert Pseudo-Zufallszahlengenerator

Original:

initializes pseudo-random number generator

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(Funktion) [edit]

maximal möglichen Wert von std::rand generiert

Original:

maximum possible value generated by std::rand

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(Makro konstant) [edit]