functionnormalize
Return normalized complex vector such that length = 1 and prevent zero-division for zero vector
Extends from Modelica.Icons.Function (Icon for functions).
Information
Syntax
Vectors.normalize(v); Vectors.normalize(v,eps=100*Modelica.Constants.eps);
Description
The function call "Vectors.normalize(v)" returns the
unit vector "v/length(v)" of vector v.
If length(v) is close to zero (more precisely, if length(v) < eps),
v is returned in order to avoid
a division by zero. For many applications this is useful, because
often the unit vector e = v/length(v) is used to compute
a vector x*e, where the scalar x is in the order of length(v),
i.e., x*e is small, when length(v) is small and then
it is fine to replace e by v to avoid a division by zero.
Since the function is implemented in one statement, it is usually inlined and therefore symbolic processing is possible.
Example
normalize({1,2,3}); // = {0.267, 0.534, 0.802}
normalize({0,0,0}); // = {0,0,0}
See also
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Complex[:] | v | Vector | |
| Real | eps | 100*Modelica.Constants.eps | if |v| < eps then result = v |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Complex[size(v, 1)] | result | Input vector v normalized to length=1 |