`VECTOR`

.
**Data Type:**`VECTOR`

`Variable`[(`Dimension`)]- Declares
`Variable`as real vector. The optional parameter`Dimension`denotes the initial dimension of the vector. If`Dimension`is missing, no memory is allocated for the vector elements (this will be done after the vector is resized or after the first assignment to the vector).

The basic operations `+`, `-`, `*`, and `/`, the unary operators
`+` and `-` as well as `+=`, `-=`, `*=`, and `/=` are
defined for real vectors.
Comparisons of real vectors are possible with `==`, `!=`, `<`, `<=`,
`>`, and `>=`. All comparisons are performed componentwise and the result of a
vector comparison is true, if it is true for all components. Otherwise the result is
`FALSE`

.

If `i` is an `INT`

expression and `v` a vector, ` v`(

Additionally, the following functions are provided:

**Function:**`INT Dimension (VECTOR`

`v`)- Returns the current dimension of
`v`.

**Function:**`void Resize (VECTOR`

`v`, INT`i`)- Discards the old elements of
`v`and resizes`v`to contain`i`elements.

**Function:**`void MakeTemporary (VECTOR`

`v`)- Defines
`v`to be a temporary variable. This is only important when the improved memory management is used. The`MakeTemporary`

should be used for any vector variable which is returned as a result of a function. For example:VECTOR Zeros (INT n) // Returns a vector of dimension n with zeros as elements { VECTOR t(n);

MakeTemporary (t); Clear (t); return t; }

**Caution:**If a temporary variable is used on the right-hand part of an assignment, it may loose its contents after the assignment.See section Configuration, for more information.

**Function:**`void MakePermanent (VECTOR`

`v`)- Changes the temporary variable
`v`into a permanent one.See section Configuration, for details.

**Function:**`void Clear (VECTOR`

`v`)- Initializes all elements of
`v`with 0.

**Function:**`void Initialize (VECTOR`

`v`, REAL`r`)- Initializes all elements of
`v`with`r`.

**Function:**`REAL Sqr (VECTOR`

`v`)- Returns the scalar product of
`v`with itself, i.e. a faster form of*`v``v`.

**Function:**`REAL Norm (VECTOR`

`v`)- Returns the 2-Norm of
`v`.

**Function:**`REAL Max (VECTOR`

`v`)- Returns the maximum of all elements of
`v`.

**Function:**`REAL Min (VECTOR`

`v`)- Returns the minimum of all elements of
`v`.