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random.3tcllib
Langue: en
Version: 0.1 (ubuntu - 24/10/10)
Section: 3 (Bibliothèques de fonctions)
NAME
simulation::random - Pseudo-random number generatorsSYNOPSIS
package require Tcl ?8.4?package require simulation::random 0.1
::simulation::random::prng_Bernoulli p
::simulation::random::prng_Discrete n
::simulation::random::prng_Poisson lambda
::simulation::random::prng_Uniform min max
::simulation::random::prng_Exponential min mean
::simulation::random::prng_Normal mean stdev
::simulation::random::prng_Pareto min steep
::simulation::random::prng_Gumbel min f
::simulation::random::prng_chiSquared df
::simulation::random::prng_Disk rad
::simulation::random::prng_Sphere rad
::simulation::random::prng_Ball rad
::simulation::random::prng_Rectangle length width
::simulation::random::prng_Block length width depth
DESCRIPTION
This package consists of commands to generate pseudo-random number generators. These new commands deliver
- •
- numbers that are distributed normally, uniformly, according to a Pareto or Gumbel distribution and so on
- •
- coordinates of points uniformly spread inside a sphere or a rectangle
For example:
set p [::simulation::random::prng_Normal -1.0 10.0]produces a new command (whose name is stored in the variable "p") that generates normally distributed numbers with a mean of -1.0 and a standard deviation of 10.0.
PROCEDURES
The package defines the following public procedures for discrete distributions:- ::simulation::random::prng_Bernoulli p
- Create a command (PRNG) that generates numbers with a Bernoulli distribution: the value is either 1 or 0, with a chance p to be 1
-
- float p
- Chance the outcome is 1
-
- ::simulation::random::prng_Discrete n
- Create a command (PRNG) that generates numbers 0 to n-1 with equal probability.
-
- int n
- Number of different values (ranging from 0 to n-1)
-
- ::simulation::random::prng_Poisson lambda
- Create a command (PRNG) that generates numbers according to the Poisson distribution.
-
- float lambda
- Mean number per time interval
-
The package defines the following public procedures for continuous distributions:
- ::simulation::random::prng_Uniform min max
- Create a command (PRNG) that generates uniformly distributed numbers between "min" and "max".
-
- float min
- Minimum number that will be generated
- float max
- Maximum number that will be generated
-
- ::simulation::random::prng_Exponential min mean
- Create a command (PRNG) that generates exponentially distributed numbers with a given minimum value and a given mean value.
-
- float min
- Minimum number that will be generated
- float mean
- Mean value for the numbers
-
- ::simulation::random::prng_Normal mean stdev
- Create a command (PRNG) that generates normally distributed numbers with a given mean value and a given standard deviation.
-
- float mean
- Mean value for the numbers
- float stdev
- Standard deviation
-
- ::simulation::random::prng_Pareto min steep
- Create a command (PRNG) that generates numbers distributed according to Pareto with a given minimum value and a given distribution steepness.
-
- float min
- Minimum number that will be generated
- float steep
- Steepness of the distribution
-
- ::simulation::random::prng_Gumbel min f
- Create a command (PRNG) that generates numbers distributed according to Gumbel with a given minimum value and a given scale factor. The probability density function is:
P(v) = exp( -exp(f*(v-min)))
-
- float min
- Minimum number that will be generated
- float f
- Scale factor for the values
-
- ::simulation::random::prng_chiSquared df
- Create a command (PRNG) that generates numbers distributed according to the chi-squared distribution with df degrees of freedom. The mean is 0 and the standard deviation is 1.
-
- float df
- Degrees of freedom
-
The package defines the following public procedures for random point sets:
- ::simulation::random::prng_Disk rad
- Create a command (PRNG) that generates (x,y)-coordinates for points uniformly spread over a disk of given radius.
-
- float rad
- Radius of the disk
-
- ::simulation::random::prng_Sphere rad
- Create a command (PRNG) that generates (x,y,z)-coordinates for points uniformly spread over the surface of a sphere of given radius.
-
- float rad
- Radius of the disk
-
- ::simulation::random::prng_Ball rad
- Create a command (PRNG) that generates (x,y,z)-coordinates for points uniformly spread within a ball of given radius.
-
- float rad
- Radius of the ball
-
- ::simulation::random::prng_Rectangle length width
- Create a command (PRNG) that generates (x,y)-coordinates for points uniformly spread over a rectangle.
-
- float length
- Length of the rectangle (x-direction)
- float width
- Width of the rectangle (y-direction)
-
- ::simulation::random::prng_Block length width depth
- Create a command (PRNG) that generates (x,y)-coordinates for points uniformly spread over a block
-
- float length
- Length of the block (x-direction)
- float width
- Width of the block (y-direction)
- float depth
- Depth of the block (z-direction)
-
KEYWORDS
math, random numbers, simulation, statistical distributionCATEGORY
MathematicsCOPYRIGHT
Copyright (c) 2004 Arjen Markus <arjenmarkus@users.sourceforge.net>
Contenus ©2006-2024 Benjamin Poulain
Design ©2006-2024 Maxime Vantorre