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

Syntax

Uniform.cumulative(u, u_min=0, u_max=1);

Description

This function computes the cumulative distribution function according to a uniform distribution in a band. The returned value y is in the range:

0 ≤ y ≤ 1

Plot of the function:

For more details, see Wikipedia.

Example

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

See also

Uniform.density, Uniform.quantile.

y = cumulative(u, u_min, u_max)

u	Type: Real Description: Value over the real axis (-inf < u < inf)
u_min	Default Value: 0 Type: Real Description: Lower limit of u
u_max	Default Value: 1 Type: Real Description: Upper limit of u

y	Type: Real Description: Value in the range 0 <= y <= 1