UnitStep

Command: UnitStep


Description

"x UnitStep" represents the unit step function
equal to 0 for x<0 and 1 for x>=0.

"[x1 x2 ...] UnitStep" represents the multidimensional unit step
function which is 1 only if none of the xi are negative.

Alternatives: Function UnitStep_i for integers UnitStep_d for
doubles UnitStep_ia for integer arrays UnitStep_da for double
arrays (all undocumented) -> behavior and synopsis are the same
except that no warnings or error messages are thrown.

Author
Ruediger Kupper

Synopsis

x UnitStep -> 0 ;if x < 0
-> 1 ;if x >= 0
[x1 x2 ...] UnitStep -> 0 ;if xi < 0 for any xi in [x]
-> 1 ;if xi >= 0 for all xi in [x]

References

The Mathematica Book
File
lib/sli/mathematica.sli
Diagnostics

When called on an empty array /ArgumentType is raised.

When first element of the array is not of type integer or double
/ArgumentType is raised.

Will break if called on an array containing non-numerical values.

Remarks

This is the SLI version of the Mathematica function "UnitStep".
Documentation taken from the Mathematica Book.

Implementation of the type variants can be found in file
synod2/sli/slimath.cc.
FirstVersion