Encode R←X⊤Y

Y must be a simple numeric array. X must be a simple numeric array. R is the numeric array which results from the representation of Y in the number system defined by X.

The shape of R is (⍴X),⍴Y (the catenation of the shapes of X and Y).

If X is a vector or a scalar, the result for each element of Y is the value of the element expressed in the number system defined by radix X. If Y is greater than can be expressed in the number system, the result is equal to the representation of the residue (×/X)|Y. If the first element of X is 0, the value will be fully represented.

This function is also known as Representation.

Examples

      10⊤5 15 125
5 5 5

      0 10⊤5 15 125
0 1 12
5 5  5

If X is a higher-rank array, each of the vectors along the first axis of X is used as the radix vector for each element of Y.

Examples

      A
2 0  0
2 0  0
2 0  0
2 0  0
2 8  0
2 8  0
2 8 16
2 8 16

This example shows binary, octal and hexadecimal representations of the decimal number 75.

      A⊤75
0 0  0
1 0  0
0 0  0
0 0  0
1 0  0
0 1  0
1 1  4
1 3 11

Examples

      0 1⊤1.25 10.5
1    10
0.25  0.5

      4 13⊤13?52
 3 1 0  2 3 2 0 1  3 1 2 3 1
12 2 4 12 1 7 6 3 10 1 0 3 8

⎕IO is not an implicit argument of encode.