rand

rand berechnet gleichverteilte Zufallszahlen.

rmRand = rand()
rmRand = rand(ssGenerator)
rmRand = rand(nRows, nColumns)
rmRand = rand(nRows, nColumns, ssGenerator)
rmRand = rand(rvSize)
rmRand = rand(rvSize, ssGenerator)

Returnwert

rmRand ist eine reelle Matrix.

Parameter

nRows

nr ist die Anzahl an Zeilen.

nColumns

nc ist die Anzahl an Spalten.

rvSize

rvSize ist ein Vektor mit zwei Elementen. rvSize[1] ist die Anzahl an Zeilen, rvSize[2] ist die Anzahl an Spalten.

ssGenerator

Ist einer der folgenden Strings ([a,b] := a <= x <= b, (a,b) := a < x < b):

„mt“ Verwendet den Mersenne-Twister Generator (default). „mt“ ist das gleiche wie „mt:real1“.
„mt:real1“ generates a random number on [0,1]-real-interval.
„mt:real2“ generates a random number on [0,1)-real-interval.
„mt:real3“ generates a random number on (0,1)-real-interval.
„mt:int31“ generates a random number on [0,0x7fffffff]-interval.
„mt:int32“ generates a random number on [0,0xffffffff]-interval.
„mt:res53“ generates a random number on [0,1) with 53-bit resolution.
„ranlib“ generates a random number on (0,1)-real-interval.

Beispiel

* srand("test")
    1.0000
* rand(3, 3)
*   0.5536     0.7214     0.6267
    0.0735     0.9892     0.8892
    0.4024     0.0891     0.5894

Mit der folgenden Funktion nach der Box-Muller-Methode können normalverteilte (Gauß-Verteilung) Zufallszahlen erzeugt werden:

def randn(nRows, nColumn)
{
    return sqrt( -2.0 * log(1.0 - rand(nRows, nColumn))) .* cos(2 * PI * rand(nRows, nColumn));
}

Die Zahlen von 1 bis 10 in zufälliger Reihenfolge:

sorti(rand(1,10))
 6.0000     1.0000    10.0000     7.0000     2.0000     8.0000     9.0000     5.0000     3.0000     4.0000
A C-program for MT19937, with initialization improved 2002/1/26.
Coded by Takuji Nishimura and Makoto Matsumoto.

Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
All rights reserved.

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:

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History

Version Beschreibung
5.14.0 Neuer Parameter ssGenerator

id-1224554