This information is part of the Modelica Standard Library maintained by the Modelica Association.

Syntax

Uniform.quantile(u, y_min=0, y_max=1);

Description

This function computes the inverse cumulative distribution function (= quantile) according to a uniform distribution in a band. Input argument u must be in the range:

0 ≤ u ≤ 1

The returned number y is in the range:

y_min ≤ y ≤ y_max

Plot of the function:

For more details, see Wikipedia.

Example

  quantile(0.5)      // = 0.5
  quantile(0.5,-1,1) // = 0

See also

Uniform.density, Uniform.cumulative.

y = quantile(u, y_min, y_max)

u	Type: Real Description: Random number in the range 0 <= u <= 1
y_min	Default Value: 0 Type: Real Description: Lower limit of y
y_max	Default Value: 1 Type: Real Description: Upper limit of y

y	Type: Real Description: Random number u transformed according to the given distribution