NAME

Conformability - OADL array conformability rules

APPLIES TO

All array-valued expressions

DESCRIPTION

Only values with conformable shapes can be used together in arithmetic statements. The rules regarding conformability are simple:

• Two arrays are conformable if they have the same shape, and all of their elements are conformable. The resulting value is an array with the same shape as the two original arrays.
• An array is always conformable with a scalar. The resulting value is an array with the same shape as the original array.
• A scalar is always conformable with another scalar. The resulting value is a scalar.

Note that an Enclosure is considered to be a scalar.

EXAMPLE

    a = [1,2,3]
    b = [4,5,6]
    a + b
5 7 9

    a + 1
2 3 4

    b = {4,{5,6},7}
    a + b
5 +---+ 10
  |7 8|
  +---+

    b = [7,8].enclose()
    a + b
+---+ +----+ +-----+
|8 9| |9 10| |10 11|
+---+ +----+ +-----+

SEE ALSO

shape
rank
reshape
enclose
ravel