9.57 OneDimensionalArray

The OneDimensionalArray domain is used for storing data in a one-dimensional indexed data structure. Such an array is a homogeneous data structure in that all the entries of the array must belong to the same FriCAS domain. Each array has a fixed length specified by the user and arrays are not extensible. The indexing of one-dimensional arrays is one-based. This means that the first element of an array is given the index 1. See also VectorXmpPage and FlexibleArrayXmpPage .

To create a one-dimensional array, apply the operation oneDimensionalArray to a list.

oneDimensionalArray [i^2 for i in 1..10]

\[\]

[1,4,9,16,25,36,49,64,81,100]

_{Type: OneDimensionalArray PositiveInteger}

Another approach is to first create a, a one-dimensional array of 10 0’s. OneDimensionalArray has the convenient abbreviation ARRAY1.

a : ARRAY1 INT := new(10,0)

\[\]

[0,0,0,0,0,0,0,0,0,0]

_{Type: OneDimensionalArray Integer}

Set each ith element to i, then display the result.

for i in 1..10 repeat a.i := i; a

\[\]

[1,2,3,4,5,6,7,8,9,10]

_{Type: OneDimensionalArray Integer}

Square each element by mapping the function i↦i2 onto each element.

map!(i +-> i ^ 2,a); a

\[\]

[1,4,9,16,25,36,49,64,81,100]

_{Type: OneDimensionalArray Integer}

Reverse the elements in place.

reverse! a

\[\]

[100,81,64,49,36,25,16,9,4,1]

_{Type: OneDimensionalArray Integer}

Swap the 4th and 5th element.

swap!(a,4,5); a

\[\]

[100,81,64,36,49,25,16,9,4,1]

_{Type: OneDimensionalArray Integer}

Sort the elements in place.

sort! a

\[\]

[1,4,9,16,25,36,49,64,81,100]

_{Type: OneDimensionalArray Integer}

Create a new one-dimensional array b containing the last 5 elements of a.

b := a(6..10)

\[\]

[36,49,64,81,100]

_{Type: OneDimensionalArray Integer}

Replace the first 5 elements of a with those of b.

copyInto!(a,b,1)

\[\]

[36,49,64,81,100,36,49,64,81,100]

_{Type: OneDimensionalArray Integer}