tests/applied.Tests.ps1
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& (Join-Path $PSScriptRoot '_setup.ps1') 'applied' Describe 'Constant Class' { It 'provides immutable values' { [Math]::Round([ConstantTest]::Euler, 3) | Should -Be 2.718 { [ConstantTest]::Euler = 5 } | Should -Throw -Because 'constants are immutable' [Math]::Round([ConstantTest]::Phi, 3) | Should -Be 1.618 { [ConstantTest]::Phi = 5 } | Should -Throw -Because 'constants are immutable' } } Describe 'Coordinate Class' { It 'can convert geodetic values to cartesian' { [CoordinateTest]::ToCartesian(41.25, 96.0) | ForEach-Object { [Math]::Round($_, 5) } | Should -Be -501980.22547,4776022.81393,4183337.2134 [CoordinateTest]::ToCartesian(41.25, 96.0, 1000) | ForEach-Object { [Math]::Round($_, 5) } | Should -Be -502058.81413,4776770.53508,4183996.55921 [CoordinateTest]::ToCartesian(41.25, 96.0, 10000) | ForEach-Object { [Math]::Round($_, 5) } | Should -Be -502766.11207,4783500.02543,4189930.67155 [CoordinateTest]::ToCartesian(41.25, 96.0, 100000) | ForEach-Object { [Math]::Round($_, 5) } | Should -Be -509839.09144,4850794.92896,4249271.79491 } It 'can convert cartesian to geodetic' { $X = -501980.22547 $Y = 4776022.81393 $Z = 4183337.2134 [CoordinateTest]::ToGeodetic($X, $Y, $Z) | ForEach-Object { [Math]::Round($_, 2) } | Should -Be 41.25,96,0 $X = -502058.81413 $Y = 4776770.53508 $Z = 4183996.55921 [CoordinateTest]::ToGeodetic($X, $Y, $Z) | ForEach-Object { [Math]::Round($_, 2) } | Should -Be 41.25,96,1000 $X = -502766.11207 $Y = 4783500.02543 $Z = 4189930.67155 [CoordinateTest]::ToGeodetic($X, $Y, $Z) | ForEach-Object { [Math]::Round($_, 2) } | Should -Be 41.25,96,10000 $X = -509839.09144 $Y = 4850794.92896 $Z = 4249271.79491 [CoordinateTest]::ToGeodetic($X, $Y, $Z) | ForEach-Object { [Math]::Round($_, 2) } | Should -Be 41.25,96,100000 $X = -501980.22547 $Y = 4776022.81393 $Z = 4183337.2134 $Geodetic = [CoordinateTest]::FromCartesian($X, $Y, $Z) [Math]::Round($Geodetic.Latitude, 2) | Should -Be 41.25 [Math]::Round($Geodetic.Longitude, 2) | Should -Be 96 [Math]::Round($Geodetic.Height, 2) | Should -Be 0 } It 'can convert decimal to sexagesimal' { [CoordinateTest]::ToSexagesimal(32.7157) | Should -Be 32,42,56.52 [CoordinateTest]::ToSexagesimal(96) | Should -Be 96,0,0 [CoordinateTest]::ToSexagesimal(116.7762) | Should -Be 116,46,34.32 [CoordinateTest]::ToSexagesimal(-116.7762) | Should -Be -116,46,34.32 } } Describe 'ConvertTo-Degree' { It 'can convert radian values to degrees' { $PI = [Math]::Pi 0 | ConvertTo-Degree | Should -Be 0 ($PI / 2) | ConvertTo-Degree | Should -Be 90 $PI | ConvertTo-Degree | Should -Be 180 0,(2 * $PI),(4 * $PI) | ConvertTo-Degree | Should -Be 0,0,0 } } Describe 'ConvertTo-Radian' { It 'can convert degree values to radians' { $PI = [Math]::Pi 0 | ConvertTo-Radian | Should -Be 0 90 | ConvertTo-Radian | Should -Be ($PI / 2) 180 | ConvertTo-Radian | Should -Be $PI 360 | ConvertTo-Radian | Should -Be 0 0,360,720 | ConvertTo-Radian | Should -Be 0,0,0 } } Describe 'Get-EarthRadius' { It 'can return earth radius for a given latitude' { $a = [CoordinateTest]::SemiMajorAxis $b = [CoordinateTest]::SemiMinorAxis -90 | Get-EarthRadius | Should -Be $b -Because 'the radius is equal to semi-minor axis at the poles' Get-EarthRadius | Should -Be $a 0 | Get-EarthRadius | Should -Be $a -Because 'the radius is equal to semi-major axis at the equator' [Math]::Round((23.437055555555556 | Get-EarthRadius), 4) | Should -Be 6374777.8209 -Because 'it is the Northern Tropic latitude' [Math]::Round((45 | Get-EarthRadius), 4) | Should -Be 6367489.5439 90 | Get-EarthRadius | Should -Be $b -Because 'the radius is equal to semi-minor axis at the poles' } } Describe 'Get-Extremum' { It 'can return maximum value from array of numbers' { $Max = 5 $Values = 1,2,2,1,$Max,2,3 $Values | Get-Extremum -Max | Should -Be $Max Get-Extremum -Max $Values | Should -Be $Max 0,-1,4,2,7,2,0 | Get-Extremum -Max | Should -Be 7 } It 'can return minimum value from array of numbers' { $Min = 0 $Values = 1,2,2,1,$Min,2,3 $Values | Get-Extremum -Min | Should -Be $Min Get-Extremum -Min $Values | Should -Be $Min 0,-1,4,2,7,2,0 | Get-Extremum -Min | Should -Be -1 } It 'Get-Maximum' { $Max = 5 $Values = 1,2,2,1,$Max,2,3 $Values | Get-Maximum | Should -Be $Max Get-Maximum $Values | Should -Be $Max 0,-1,4,2,7,2,0 | Get-Maximum | Should -Be 7 } It 'Get-Minimum' { $Min = 0 $Values = 1,2,2,1,$Min,2,3 $Values | Get-Minimum | Should -Be $Min Get-Minimum $Values | Should -Be $Min 0,-1,4,2,7,2,0 | Get-Minimum | Should -Be -1 } } Describe 'Get-Factorial' { It 'can calculate n!' { 0 | Get-Factorial | Should -Be 1 1 | Get-Factorial | Should -Be 1 2 | Get-Factorial | Should -Be 2 10 | Get-Factorial | Should -Be 3628800 20 | Get-Factorial | Should -Be 2432902008176640000 1..5 | Get-Factorial | Should -Be 1,2,6,24,120 Get-Factorial 2 | Should -Be 2 Get-Factorial 10 | Should -Be 3628800 } } Describe 'Get-Haversine/ArcHaversine' { It 'should return a value in the range [0..1]' { 42,50,77 | Get-Haversine | ForEach-Object { [Math]::Round($_, 5) } | Should -Be 0.12843,0.17861,0.38752 0.12843,0.17861,0.38752 | Get-ArcHaversine | ForEach-Object { [Math]::Round($_) } | Should -Be 42,50,77 42,50,77 | Get-Haversine | Get-ArcHaversine | Should -Be 42,50,77 } It -Skip 'should be provided via static method of Prelude class' { [PreludeTest]::Hav(42), [PreludeTest]::Hav(50), [PreludeTest]::Hav(77) | ForEach-Object { [Math]::Round($_, 5) } | Should -Be 0.12843,0.17861,0.38752 } } Describe 'Get-HaversineDistance' { It 'can calculate the distance between two points on the earth' { Get-HaversineDistance -From @{} -To @{} | Should -Be 0 $Omaha = @{ Latitude = 41.25; Longitude = -96 } $SanDiego = @{ Latitude = 32.7157; Longitude = -117.1611 } [Math]::Round((Get-HaversineDistance -From $Omaha -To $SanDiego), 4) | Should -Be 2097705.7401 [Math]::Round(($Omaha | Get-HaversineDistance -To $SanDiego), 4) | Should -Be 2097705.7401 } } Describe 'Get-LogisticSigmoid' { It 'can return values along the logistic sigmoid curve' { 0 | Get-LogisticSigmoid | Should -Be 0.5 [Double]::NegativeInfinity | Get-LogisticSigmoid | Should -Be 0 [Double]::PositiveInfinity | Get-LogisticSigmoid | Should -Be 1 [Double]::PositiveInfinity | Get-LogisticSigmoid -MaximumValue 3 | Should -Be 3 0 | Get-LogisticSigmoid -Derivative | Should -Be 0.25 $Left = [Math]::Round((Get-LogisticSigmoid -5), 10) $Right = [Math]::Round(1 - (Get-LogisticSigmoid 5), 10) $Left | Should -Be $Right -Because 'it is a symmetry property of the logistic function' } } Describe 'Get-Mean/Median' { It 'can calculate mean (average) for discrete uniform random variable' { 1..10 | Get-Mean | Should -Be 5.5 Get-Mean -Data (1..10) | Should -Be 5.5 1,3,4,5,6,9,14,30 | Get-Mean | Should -Be 9 30,4,3,1,6,9,14,5 | Get-Mean | Should -Be 9 } It 'can calculate "trimmed" mean' { 1..10 | Get-Mean -Trim 0.1 | Should -Be 5.5 -Because '1..10 and 2..9 have the same mean' Get-Mean -Data (1..10) -Trim 0.1 | Should -Be 5.5 (1..10 | Get-Mean -Trim 1),(1..10 | Get-Mean -Trim 1) | Test-Equal | Should -BeTrue -Because '10% of 10 is 1' 1,3,4,5,6,9,14,30 | Get-Mean -Trim 2 | Should -Be 6 30,4,3,1,6,9,14,5 | Get-Mean -Trim 2 | Should -Be 6 (30,4,3,1,6,9,14,5 | Get-Mean -Trim 2),(30,4,3,1,6,9,14,5 | Get-Mean -Trim 0.25) | Test-Equal | Should -BeTrue '25% of 8 is 2' } It 'can calculate median for discrete uniform random variable' { 1..5 | Get-Median | Should -Be 3 2,1,4,5,3 | Get-Median | Should -Be 3 1..10 | Get-Median | Should -Be 5.5 19,3,6,7,1,9,2,5,4,8 | Get-Median | Should -Be 5.5 Get-Median -Data (1..5) | Should -Be 3 Get-Median -Data (1..10) | Should -Be 5.5 } } |