tests/Matrix.Tests.ps1
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& (Join-Path $PSScriptRoot '_setup.ps1') 'matrix' Describe 'Matrix helper functions' { It 'can provide wrapper for matrix creation' { $A = 1..9 | New-Matrix 3,3 $A.Size | Should -Be 3,3 $A.Rows[0] | Should -Be 1,2,3 $A.Rows[1] | Should -Be 4,5,6 $A.Rows[2] | Should -Be 7,8,9 $A = New-Matrix -Size 3,3 -Values (1..9) $A.Size | Should -Be 3,3 $A.Rows[0] | Should -Be 1,2,3 $A.Rows[1] | Should -Be 4,5,6 $A.Rows[2] | Should -Be 7,8,9 $A = New-Matrix $A.Size | Should -Be 2,2 -Because '2x2 is the default matrix size' $A.Rows[0] | Should -Be 0,0 -Because 'an empty matrix should be created by default' $A.Rows[1] | Should -Be 0,0 -Because 'an empty matrix should be created by default' $A = @(1,2,3,@(4,5,6)) | New-Matrix 2,3 $A = 1..6 | New-Matrix 2,3 $A.Rows[0] | Should -Be 1,2,3 -Because 'function accepts non-square sizes' $A.Rows[1] | Should -Be 4,5,6 -Because 'values array should be flattened' } It 'can create diagonal matrices' { $A = 1..3 | New-Matrix 3,3 -Diagonal $A.Size | Should -Be 3,3 $A.Rows[0] | Should -Be 1,0,0 $A.Rows[1] | Should -Be 0,2,0 $A.Rows[2] | Should -Be 0,0,3 $A = New-Matrix -Values (1..3) -Size 3,3 -Diagonal $A.Size | Should -Be 3,3 $A.Rows[0] | Should -Be 1,0,0 $A.Rows[1] | Should -Be 0,2,0 $A.Rows[2] | Should -Be 0,0,3 } It 'can test if a matrix is diagonal' { 1,0,0, 0,2,0, 0,0,3 | New-matrix 3,3 | Test-DiagonalMatrix | Should -BeTrue 1,0,0, 2,2,0, 3,0,3 | New-Matrix 3,3 | Test-DiagonalMatrix | Should -BeFalse -Because 'second and third rows have non-zero elements off the main diagonal' 1,0,0, 0,2,1, 0,0,3 | New-Matrix 3,3 | Test-DiagonalMatrix | Should -BeFalse -Because 'second row has a non-zero element off the main diagonal' 1,0, 0,1 | New-Matrix | Test-DiagonalMatrix | Should -BeTrue 1,0,0, 0,2,0 | New-matrix 2,3 | Test-DiagonalMatrix | Should -BeFalse -Because 'only square matrices can be diagonal' 1,0,2, 0,2,2 | New-matrix 2,3 | Test-DiagonalMatrix | Should -BeFalse -Because 'only square matrices can be diagonal' } It 'can test if a matrix is square' { (1..4) | New-Matrix | Test-SquareMatrix | Should -BeTrue (1..9) | New-Matrix 3,3 | Test-SquareMatrix | Should -BeTrue (1..6) | New-Matrix 3,2 | Test-SquareMatrix | Should -BeFalse -Because 'the # of rows and # of columns are different' } It 'can test if a matrix is symmetric' { 1,2,3, 2,1,4, 3,4,1 | New-Matrix 3,3 | Test-SymmetricMatrix | Should -BeTrue (1..9) | New-Matrix 3,3 | Test-SymmetricMatrix | Should -BeFalse -Because 'elements off main diagonal are not equal' 1,1,1,1 | New-Matrix | Test-SymmetricMatrix | Should -BeTrue 1,0,0,0, 0,1,0,0, 0,0,1,0, 0,0,0,1 | New-Matrix 4,4 | Test-SymmetricMatrix | Should -BeTrue -Because 'diagonal matrices are symmetric' 1,0,0, 2,2,0, 3,0,3 | New-Matrix 3,3 | Test-SymmetricMatrix | Should -BeFalse 1,0,0, 0,2,1, 0,0,3 | New-Matrix 2,3 | Test-SymmetricMatrix | Should -BeFalse 1,0,0, 0,0,3 | New-Matrix 2,3 | Test-SymmetricMatrix | Should -BeFalse -Because 'only square matrices can be symmetric' } } |