macfja/math

A set of tools around Mathematics.

Math library

A set of class and function around Mathematics., _(*1)

What inside ?

CombinationBuilder

An utility class to create combination. The class also provide a factorial calculation., _(*2)

Example and Usage

Combination

Get for 3 in 5:, _(*3)

print_r(CombinationBuilder::getCombination(5, 3));

Will output:, _(*4)

Array
(
    [1-2-3] => Array
        (
            [0] => 1
            [1] => 2
            [2] => 3
        )

    [1-2-4] => Array
        (
            [0] => 1
            [1] => 2
            [2] => 4
        )

    [1-2-5] => Array
        (
            [0] => 1
            [1] => 2
            [2] => 5
        )

    [1-3-4] => Array
        (
            [0] => 1
            [1] => 3
            [2] => 4
        )

    [1-3-5] => Array
        (
            [0] => 1
            [1] => 3
            [2] => 5
        )

    [1-4-5] => Array
        (
            [0] => 1
            [1] => 4
            [2] => 5
        )

    [2-3-4] => Array
        (
            [0] => 2
            [1] => 3
            [2] => 4
        )

    [2-3-5] => Array
        (
            [0] => 2
            [1] => 3
            [2] => 5
        )

    [2-4-5] => Array
        (
            [0] => 2
            [1] => 4
            [2] => 5
        )

    [3-4-5] => Array
        (
            [0] => 3
            [1] => 4
            [2] => 5
        )

)

Or in a more compact way:, _(*5)

(1, 2, 3)
(1, 2, 4)
(1, 2, 5)
(1, 3, 4)
(1, 3, 5)
(1, 4, 5)
(2, 3, 4)
(2, 3, 5)
(2, 4, 5)
(3, 4, 5)

Combination Count

Get the number of possible combination, _(*6)

print_r(CombinationBuilder::getCombinationCount(5, 3));

Will output:, _(*7)

10

Factorial

Get the factorial of 5 (5!), _(*8)

print_r(CombinationBuilder::factorial(5));

Will output:, _(*9)

120