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Additional unit tests for array operations (in preparation for a switch away from using Jama for handling matrix operations)

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MarkBaker
2022-03-07 16:10:17 +01:00
parent ec6113eee3
commit 6b0d724a53
1 changed files with 168 additions and 12 deletions
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tests/PhpSpreadsheetTests/Calculation/ArrayFormulaTest.php
+168 -12
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@@ -88,30 +88,186 @@ class ArrayFormulaTest extends TestCase
public function providerArrayArithmetic(): array
{
return [
[
'={2,3}+{4;5}',
// Addition
'Addition: row vector 2 + column vector 2' => [
'={2,3} + {4;5}',
[[6, 7], [7, 8]],
],
[
'={2,3}-{4;5}',
'Addition: square matrix 2x2 + 2x2' => [
'={1,2;3,4} + {-2,4;-6,8}',
[[-1, 6], [-3, 12]],
],
'Addition: row vector + row vector' => [
'={1,2,3} + {4,5,6}',
[[5, 7, 9]],
],
'Addition: column vector + column vector' => [
'={1;2;3} + {4;5;6}',
[[5], [7], [9]],
],
'Addition: row vector + column vector' => [
'={1,2,3} + {4;5;6}',
[[5, 6, 7], [6, 7, 8], [7, 8, 9]],
],
'Addition: column vector + row vector' => [
'={1;2;3} + {4,5,6}',
[[5, 6, 7], [6, 7, 8], [7, 8, 9]],
],
'Addition: matrix 3x2 + 3x2' => [
'={1,2,3;4,5,6} + {7,8,9;10,11,12}',
[[8, 10, 12], [14, 16, 18]],
],
'Addition: matrix 2x3 + 2x3' => [
'={1,4;2,5;3,6} + {7,10;8,11;9,12}',
[[8, 14], [10, 16], [12, 18]],
],
// Subtraction
'Subtraction: row vector 2 - column vector 2' => [
'={2,3} - {4;5}',
[[-2, -1], [-3, -2]],
],
[
'={2,3}*{4;5}',
'Subtraction: square matrix 2x2 - 2x2' => [
'={1,2;3,4} - {-2,4;-6,8}',
[[3, -2], [9, -4]],
],
'Subtraction: row vector - row vector' => [
'={1,2,3} - {4,5,6}',
[[-3, -3, -3]],
],
'Subtraction: column vector - column vector' => [
'={1;2;3} - {4;5;6}',
[[-3], [-3], [-3]],
],
'Subtraction: row vector - column vector' => [
'={1,2,3} - {4;5;6}',
[[-3, -2, -1], [-4, -3, -2], [-5, -4, -3]],
],
'Subtraction: column vector - row vector' => [
'={1;2;3} - {4,5,6}',
[[-3, -4, -5], [-2, -3, -4], [-1, -2, -3]],
],
'Subtraction: matrix 3x2 - 3x2' => [
'={1,2,3;4,5,6} - {7,8,9;10,11,12}',
[[-6, -6, -6], [-6, -6, -6]],
],
'Subtraction: matrix 2x3 - 2x3' => [
'={1,4;2,5;3,6} - {7,10;8,11;9,12}',
[[-6, -6], [-6, -6], [-6, -6]],
],
// Multiplication
'Multiplication: square matrix 2x2 * 2x2' => [
'={1,2;3,4} * {-2,4;-6,8}',
[[-2, 8], [-18, 32]],
],
'Multiplication: row vector * row vector' => [
'={1,2,3} * {4,5,6}',
[[4, 10, 18]],
],
'Multiplication: column vector * column vector' => [
'={1;2;3} * {4;5;6}',
[[4], [10], [18]],
],
'Multiplication: row vector * column vector' => [
'={1,2,3} * {4;5;6}',
[[4, 8, 12], [5, 10, 15], [6, 12, 18]],
],
'Multiplication: column vector * row vector' => [
'={1;2;3} * {4,5,6}',
[[4, 5, 6], [8, 10, 12], [12, 15, 18]],
],
'Multiplication: matrix 3x2 * 3x2' => [
'={1,2,3;4,5,6} * {7,8,9;10,11,12}',
[[7, 16, 27], [40, 55, 72]],
],
'Multiplication: matrix 2x3 * 2x3' => [
'={1,4;2,5;3,6} * {7,10;8,11;9,12}',
[[7, 40], [16, 55], [27, 72]],
],
'Multiplication: row vector 2 * column vector 2' => [
'={2,3} * {4;5}',
[[8, 12], [10, 15]],
],
[
'={2,3}/{4;5}',
// Division
'Division: square matrix 2x2 / 2x2' => [
'={1,2;3,4} / {-2,4;-6,8}',
[[-0.5, 0.5], [-0.5, 0.5]],
],
'Division: row vector / row vector' => [
'={1,2,3} / {4,5,6}',
[[0.25, 0.4, 0.5]],
],
'Division: column vector / column vector' => [
'={1;2;3} / {4;5;6}',
[[0.25], [0.4], [0.5]],
],
'Division: row vector / column vector' => [
'={1,2,3} / {4;5;6}',
[[0.25, 0.5, 0.75], [0.2, 0.4, 0.6], [0.16666666666667, 0.33333333333333, 0.5]],
],
'Division: column vector / row vector' => [
'={1;2;3} / {4,5,6}',
[[0.25, 0.2, 0.16666666666667], [0.5, 0.4, 0.33333333333333], [0.75, 0.6, 0.5]],
],
'Division: matrix 3x2 / 3x2' => [
'={1,2,3;4,5,6} / {7,8,9;10,11,12}',
[[0.142857142857143, 0.25, 0.33333333333333], [0.4, 0.45454545454545, 0.5]],
],
'Division: matrix 2x3 / 2x3' => [
'={1,4;2,5;3,6} / {7,10;8,11;9,12}',
[[0.142857142857143, 0.4], [0.25, 0.45454545454545], [0.33333333333333, 0.5]],
],
'Division: row vector 2 / column vector 2' => [
'={2,3} / {4;5}',
[[0.5, 0.75], [0.4, 0.6]],
],
[
'={2,3}^{4;5}',
// Power
'Power: square matrix 2x2 ^ 2x2' => [
'={1,2;3,4} ^ {-2,4;-6,8}',
[[1, 16], [0.00137174211248, 65536]],
],
'Power: row vector ^ row vector' => [
'={1,2,3} ^ {4,5,6}',
[[1, 32, 729]],
],
'Power: column vector / column vector' => [
'={1;2;3} ^ {4;5;6}',
[[1], [32], [729]],
],
'Power: row vector ^ column vector' => [
'={1,2,3} ^ {4;5;6}',
[[1, 16, 81], [1, 32, 243], [1, 64, 729]],
],
'Power: column vector ^ row vector' => [
'={1;2;3} ^ {4,5,6}',
[[1, 1, 1], [16, 32, 64], [81, 243, 729]],
],
'Power: matrix 3x2 ^ 3x2' => [
'={1,2,3;4,5,6} ^ {7,8,9;10,11,12}',
[[1, 256, 19683], [1048576, 48828125, 2176782336]],
],
'Power: matrix 2x3 ^ 2x3' => [
'={1,4;2,5;3,6} ^ {7,10;8,11;9,12}',
[[1, 1048576], [256, 48828125], [19683, 2176782336]],
],
'Power: row vector 2 ^ column vector 2' => [
'={2,3} ^ {4;5}',
[[16, 81], [32, 243]],
],
[
'={"A",",B"}&{"C";";D"}',
// Concatenation
'Concatenation: row vector 2 & column vector 2' => [
'={"A",",B"} & {"C";";D"}',
[['AC', ',BC'], ['A;D', ',B;D']],
],
// Unary Negation
'Unary Negation: square matrix - 2x2' => [
'= - {-2,4;-6,8}',
[[2, -4], [6, -8]],
],
// Percentage
'Percentage: square matrix % 2x2' => [
'={-2,4;-6,8} %',
[[-0.02, 0.04], [-0.06, 0.08]],
],
];
}
}