Array Cumulative Functions

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• Listing of Z3 Array Manipulation Member Functions

Array.accumulate(FromTotal)

Each element is accumulated using SUM with each element.

MAGICSQUARE(3) is

2 7 6

9 5 1

4 3 8

MAGICSQUARE(3).accumulate()

2	9	15
24	29	30
49	52	60

Array.cumcolumns(Columns|empty)

Each element is accumulated by columns (for the specified columns,or all if none is specified) using SUM with each element. Initial Value of 0 is assumed.

MAGICSQUARE(3).cumcolumns()

2	7	6
11	12	7
15	15	15

MAGICSQUARE(3).cumcolumns(2)

(Cumulate only column with index 2)

6

7

15

Array.cumrows(Rows|empty)

Each element is accumulated by rows for the specified rows, or all if none is specified) using SUM with each element. Initial Value of 0 is assumed.

c=[[1,2,3],[4,5,6],[7,8,9]];

c.cumrows();

1	3	6
4	9	15
7	15	24

c=[[1,2,3],[4,5,6],[7,8,9]]; c.cumrows(2);

7 15 24

Array.cumcolumn(Columns|empty)

Same as Array.cumcolumns()

Array.cumrow(Row|empty)

Same as Array.cumrows()

Array.accumulatewith(SomeFunction, SomeStartingValue or Parameter List)

Each element is accumulated using given function with each element, and with the starting array as first input (if given).

Array.cumcolumnswith(SomeFunction, SomeColumns ...)

Array.accumulatewith() for each column.

Array.cumrowswith(SomeFunction, SomeRows ...)

Array.accumulatewith() for each row

Array.cumcolumnwith(SomeFunction, SomeStartingValue or Parameter List)

Same as Array.accumulatewith() for each column

Array.cumrowwith

Same as Array.cumrowswith() for each column

Array.cumulate

Array.accumulatewith() with function as NUMSUM