Vector

The Vector domain is used for storing
data in a one-dimensonal indexed data structure. A vector is a
homogeneous data structure in that all the components of the vector
must belong to the same Axiom domain. Each vector has a fixed length
specified by the user; vectors are not extensible. This domain is
similar to the
OneDimensionalArray domain,
except that when the components of a
Vector belong to a
Ring, arithmetic operations are provided.
For more examples of operations that are defined for both
Vector and
OneDimensionalArray, see
OneDimensionalArray.
As with the OneDimensionalArray
domain, a
Vector can be created by calling the operation
new, its components can be accessed by calling
the operations elt and
qelt, and its components can be reset by
calling the operations
setelt and
setelt!. This creates a vector of
integers of length 5 all of whose components are 12.
This is how you create a vector from a list of its components.
Indexing for vectors begins at 1. The last element has index equal to
the length of the vector, which is computed by
#.
This is the standard way to use elt to extract
an element.
This is the standard way to use setelt to change an element. It is the
same as if you had typed setelt(v,3,99).
Now look at v to see the change. You can use
qelt and
qsetelt! (instead of
elt and
setelt, respectively) but only when you
know that the indexis within the valid range.
When the components belong to a
Ring,
Axiom provides arithmetic operations for
Vector. These include left and right
scalar multiplication.
Addition and subtraction are also available
Of course, when adding or subtracting, the two vectors must have the
same length or an error message is displayed.
For more information about other aggregate domains, see
List,
Matrix,
OneDimensionalArray.
Set,
Table, and
TwoDimensionalArray.
Issue the system command
to display the full list of operations defined by
Vector.