mirror of
https://github.com/Ryujinx/Opentk.git
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585 lines
20 KiB
Forth
585 lines
20 KiB
Forth
namespace OpenTK.Tests
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open Xunit
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open FsCheck
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open FsCheck.Xunit
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open System
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open System.Runtime.InteropServices
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open OpenTK
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module Vector2 =
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Constructors =
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//
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[<Property>]
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let ``Single value constructor sets all components to the same value`` (f : float32) =
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let v = Vector2(f)
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Assert.Equal(f,v.X)
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Assert.Equal(f,v.Y)
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[<Property>]
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let ``Two value constructor sets all components correctly`` (x,y) =
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let v = Vector2(x,y)
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Assert.Equal(x,v.X)
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Assert.Equal(y,v.Y)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Clamping =
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//
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[<Property>]
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let ``Clamping one vector between two other vectors clamps all components between corresponding components`` (a : Vector2, b : Vector2, w : Vector2) =
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let res = Vector2.Clamp(w, a, b)
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let expX = if w.X < a.X then a.X else if w.X > b.X then b.X else w.X
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let expY = if w.Y < a.Y then a.Y else if w.Y > b.Y then b.Y else w.Y
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Assert.Equal(expX, res.X)
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Assert.Equal(expY, res.Y)
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[<Property>]
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let ``Clamping one vector between two other vectors by reference clamps all components`` (a : Vector2, b : Vector2, w : Vector2) =
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let res = Vector2.Clamp(ref w, ref a, ref b)
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let expX = if w.X < a.X then a.X else if w.X > b.X then b.X else w.X
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let expY = if w.Y < a.Y then a.Y else if w.Y > b.Y then b.Y else w.Y
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Assert.Equal(expX, res.X)
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Assert.Equal(expY, res.Y)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Length =
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//
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[<Property>]
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let ``Length is always >= 0`` (a : Vector2) =
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//
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Assert.True(a.Length >= 0.0f)
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[<Property>]
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let ``Length follows the pythagorean theorem`` (a, b) =
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let v = Vector2(a, b)
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let l = System.Math.Sqrt((float)(a * a + b * b))
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Assert.Equal((float32)l, v.Length)
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[<Property>]
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let ``Fast length method works`` (a, b) =
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let v = Vector2(a, b)
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let l = 1.0f / MathHelper.InverseSqrtFast(a * a + b * b)
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Assert.Equal(l, v.LengthFast)
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[<Property>]
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let ``Length squared method works`` (a, b) =
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let v = Vector2(a, b)
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let lsq = a * a + b * b
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Assert.Equal(lsq, v.LengthSquared)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module ``Unit vectors and perpendicularity`` =
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//
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[<Property>]
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let ``Perpendicular vector to the right is correct`` (a, b) =
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let v = Vector2(a, b)
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let perp = Vector2(b, -a)
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Assert.Equal(perp, v.PerpendicularRight)
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[<Property>]
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let ``Perpendicular vector to the left is correct`` (a, b) =
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let v = Vector2(a, b)
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let perp = Vector2(-b, a)
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Assert.Equal(perp, v.PerpendicularLeft)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Indexing =
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//
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[<Property>]
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let ``Index operator accesses the correct components`` (x, y) =
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let v = Vector2(x, y)
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Assert.Equal(x, v.[0])
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Assert.Equal(y, v.[1])
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[<Property>]
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let ``Indexed set operator throws exception for negative indices`` (x, y) =
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let mutable v = Vector2(x, y)
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(fun() -> v.[-1] <- x) |> Assert.Throws<IndexOutOfRangeException> |> ignore
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[<Property>]
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let ``Indexed get operator throws exception for negative indices`` (x, y) =
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let mutable v = Vector2(x, y)
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(fun() -> v.[-1] |> ignore) |> Assert.Throws<IndexOutOfRangeException> |> ignore
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[<Property>]
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let ``Indexed set operator throws exception for large indices`` (x, y) =
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let mutable v = Vector2(x, y)
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(fun() -> v.[2] <- x) |> Assert.Throws<IndexOutOfRangeException> |> ignore
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[<Property>]
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let ``Indexed get operator throws exception for large indices`` (x, y) =
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let mutable v = Vector2(x, y)
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(fun() -> v.[2] |> ignore) |> Assert.Throws<IndexOutOfRangeException> |> ignore
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module ``Simple Properties`` =
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//
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[<Property>]
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let ``Vector equality is by component`` (a : Vector2,b : Vector2) =
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//
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Assert.Equal((a.X = b.X && a.Y = b.Y),(a = b))
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[<Property>]
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let ``Vector length is always >= 0`` (a : Vector2) =
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//
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Assert.True(a.Length >= 0.0f)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Addition =
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//
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[<Property>]
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let ``Vector addition is the same as component addition`` (a : Vector2,b : Vector2) =
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let c = a + b
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Assert.ApproximatelyEqual(a.X + b.X,c.X)
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Assert.ApproximatelyEqual(a.Y + b.Y,c.Y)
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[<Property>]
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let ``Vector addition is commutative`` (a : Vector2,b : Vector2) =
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let c = a + b
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let c2 = b + a
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Assert.ApproximatelyEqual(c,c2)
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[<Property>]
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let ``Vector addition is associative`` (a : Vector2,b : Vector2,c : Vector2) =
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let r1 = (a + b) + c
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let r2 = a + (b + c)
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Assert.ApproximatelyEqual(r1,r2)
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[<Property>]
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let ``Static Vector2 addition method is the same as component addition`` (a : Vector2, b : Vector2) =
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let v1 = Vector2(a.X + b.X, a.Y + b.Y)
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let sum = Vector2.Add(a, b)
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Assert.ApproximatelyEqual(v1, sum)
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[<Property>]
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let ``Static Vector2 addition method by reference is the same as component addition`` (a : Vector2, b : Vector2) =
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let v1 = Vector2(a.X + b.X, a.Y + b.Y)
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let sum = Vector2.Add(ref a, ref b)
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Assert.ApproximatelyEqual(v1, sum)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Multiplication =
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//
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[<Property>]
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let ``Vector2 multiplication is the same as component multiplication`` (a : Vector2, b : Vector2) =
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let c = a * b
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Assert.Equal(a.X * b.X,c.X)
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Assert.Equal(a.Y * b.Y,c.Y)
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[<Property>]
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let ``Vector2 multiplication is commutative`` (a : Vector2, b : Vector2) =
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let r1 = a * b
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let r2 = b * a
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Assert.Equal(r1,r2)
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[<Property>]
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let ``Left-handed Vector2-scalar multiplication is the same as component-scalar multiplication`` (a : Vector2, f : float32) =
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let r = a * f
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Assert.Equal(a.X * f,r.X)
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Assert.Equal(a.Y * f,r.Y)
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[<Property>]
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let ``Right-handed Vector2-scalar multiplication is the same as component-scalar multiplication`` (a : Vector2, f : float32) =
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let r = f * a
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Assert.Equal(a.X * f,r.X)
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Assert.Equal(a.Y * f,r.Y)
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[<Property>]
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let ``Static Vector2 multiplication method is the same as component multiplication`` (a : Vector2, b : Vector2) =
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let v1 = Vector2(a.X * b.X, a.Y * b.Y)
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let sum = Vector2.Multiply(a, b)
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Assert.ApproximatelyEqual(v1, sum)
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[<Property>]
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let ``Static Vector2 multiplication method by reference is the same as component multiplication`` (a : Vector2, b : Vector2) =
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let v1 = Vector2(a.X * b.X, a.Y * b.Y)
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let sum = Vector2.Multiply(ref a, ref b)
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Assert.ApproximatelyEqual(v1, sum)
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[<Property>]
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let ``Static method Vector2-scalar multiplication is the same as component-scalar multiplication`` (a : Vector2, f : float32) =
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let r = Vector2.Multiply(a, f)
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Assert.Equal(a.X * f,r.X)
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Assert.Equal(a.Y * f,r.Y)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Subtraction =
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//
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[<Property>]
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let ``Vector2 subtraction is the same as component subtraction`` (a : Vector2, b : Vector2) =
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let c = a - b
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Assert.Equal(a.X - b.X,c.X)
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Assert.Equal(a.Y - b.Y,c.Y)
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[<Property>]
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let ``Static Vector2 subtraction method is the same as component addition`` (a : Vector2, b : Vector2) =
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let v1 = Vector2(a.X - b.X, a.Y - b.Y)
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let sum = Vector2.Subtract(a, b)
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Assert.ApproximatelyEqual(v1, sum)
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[<Property>]
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let ``Static Vector2 subtraction method by reference is the same as component addition`` (a : Vector2, b : Vector2) =
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let v1 = Vector2(a.X - b.X, a.Y - b.Y)
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let sum = Vector2.Subtract(ref a, ref b)
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Assert.ApproximatelyEqual(v1, sum)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Division =
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//
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[<Property>]
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let ``Vector2-float division is the same as component-float division`` (a : Vector2, f : float32) =
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let r = a / f
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Assert.ApproximatelyEqual(a.X / f,r.X)
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Assert.ApproximatelyEqual(a.Y / f,r.Y)
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[<Property>]
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let ``Static Vector2-Vector2 division method is the same as component division`` (a : Vector2, b : Vector2) =
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let v1 = Vector2(a.X / b.X, a.Y / b.Y)
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let sum = Vector2.Divide(a, b)
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Assert.ApproximatelyEqual(v1, sum)
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[<Property>]
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let ``Static Vector2-Vector2 divison method by reference `` (a : Vector2, b : Vector2) =
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let v1 = Vector2(a.X / b.X, a.Y / b.Y)
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let sum = Vector2.Divide(ref a, ref b)
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Assert.ApproximatelyEqual(v1, sum)
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[<Property>]
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let ``Static Vector2-scalar division method is the same as component division`` (a : Vector2, b : float32) =
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let v1 = Vector2(a.X / b, a.Y / b)
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let sum = Vector2.Divide(a, b)
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Assert.ApproximatelyEqual(v1, sum)
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[<Property>]
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let ``Static Vector2-scalar divison method by reference is the same as component division`` (a : Vector2, b : float32) =
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let v1 = Vector2(a.X / b, a.Y / b)
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let sum = Vector2.Divide(ref a, b)
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Assert.ApproximatelyEqual(v1, sum)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Negation =
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//
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[<Property>]
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let ``Vector negation operator negates all components`` (x, y) =
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let v = Vector2(x, y)
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let vNeg = -v
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Assert.Equal(-x, vNeg.X)
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Assert.Equal(-y, vNeg.Y)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Equality =
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//
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[<Property>]
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let ``Vector equality operator is by component`` (x, y) =
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let v1 = Vector2(x, y)
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let v2 = Vector2(x, y)
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let equality = v1 = v2
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Assert.True(equality)
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[<Property>]
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let ``Vector inequality operator is by component`` (x, y) =
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let v1 = Vector2(x, y)
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let v2 = Vector2(x + 1.0f , y + 1.0f)
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let inequality = v1 <> v2
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Assert.True(inequality)
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[<Property>]
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let ``Vector equality method is by component`` (x, y) =
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let v1 = Vector2(x, y)
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let v2 = Vector2(x, y)
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let notVector = Matrix2()
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let equality = v1.Equals(v2)
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let inequalityByOtherType = v1.Equals(notVector)
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Assert.True(equality)
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Assert.False(inequalityByOtherType)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Swizzling =
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//
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[<Property>]
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let ``Vector swizzling returns the correct composites`` (x, y) =
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let v1 = Vector2(x, y)
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let v2 = Vector2(y, x)
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let v1yx = v1.Yx;
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Assert.Equal(v2, v1yx);
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Interpolation =
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//
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[<Property>]
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let ``Linear interpolation is by component`` (a : Vector2, b : Vector2, q) =
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let blend = q
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let rX = blend * (b.X - a.X) + a.X
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let rY = blend * (b.Y - a.Y) + a.Y
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let vExp = Vector2(rX, rY)
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Assert.Equal(vExp, Vector2.Lerp(a, b, q))
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let vRes = Vector2.Lerp(ref a, ref b, q)
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Assert.Equal(vExp, vRes)
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[<Property>]
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let ``Barycentric interpolation follows the barycentric formula`` (a : Vector2, b : Vector2, c : Vector2, u, v) =
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let r = a + u * (b - a) + v * (c - a)
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Assert.Equal(r, Vector2.BaryCentric(a, b, c, u, v))
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let vRes = Vector2.BaryCentric(ref a, ref b, ref c, u, v)
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Assert.Equal(r, vRes)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module ``Vector products`` =
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//
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[<Property>]
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let ``Dot product follows the dot product formula`` (a : Vector2, b : Vector2) =
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let dot = a.X * b.X + a.Y * b.Y
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Assert.Equal(dot, Vector2.Dot(a, b));
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let vRes = Vector2.Dot(ref a, ref b)
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Assert.Equal(dot, vRes)
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[<Property>]
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let ``Perpendicular dot product follows the perpendicular dot product formula`` (a : Vector2, b : Vector2) =
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let perpDot = a.X * b.Y - a.Y * b.X
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Assert.Equal(perpDot, Vector2.PerpDot(a, b));
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let vRes = Vector2.PerpDot(ref a, ref b)
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Assert.Equal(perpDot, vRes)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Normalization =
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//
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[<Property>]
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let ``Normalization creates a new unit length vector with the correct components`` (a, b) =
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let v = Vector2(a, b)
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let l = v.Length
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// Dividing by zero is not supported
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if not (approxEq l 0.0f) then
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let norm = v.Normalized()
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Assert.ApproximatelyEqual(v.X / l, norm.X)
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Assert.ApproximatelyEqual(v.Y / l, norm.Y)
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[<Property>]
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let ``Normalization of instance transforms the instance into a unit length vector with the correct components`` (a, b) =
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let v = Vector2(a, b)
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let l = v.Length
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if not (approxEq l 0.0f) then
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let norm = Vector2(a, b)
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norm.Normalize()
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Assert.ApproximatelyEqual(v.X / l, norm.X)
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Assert.ApproximatelyEqual(v.Y / l, norm.Y)
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[<Property>]
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let ``Fast approximate normalization of instance transforms the instance into a unit length vector with the correct components`` (a, b) =
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let v = Vector2(a, b)
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let norm = Vector2(a, b)
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norm.NormalizeFast()
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let scale = MathHelper.InverseSqrtFast(a * a + b * b)
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Assert.ApproximatelyEqual(v.X * scale, norm.X)
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Assert.ApproximatelyEqual(v.Y * scale, norm.Y)
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[<Property>]
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let ``Normalization by reference is the same as division by magnitude`` (a : Vector2) =
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let norm = a / a.Length
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let vRes = Vector2.Normalize(ref a)
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Assert.ApproximatelyEqual(norm, vRes)
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[<Property>]
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let ``Normalization is the same as division by magnitude`` (a : Vector2) =
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let norm = a / a.Length
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Assert.ApproximatelyEqual(norm, Vector2.Normalize(a));
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[<Property>]
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let ``Fast approximate normalization by reference is the same as multiplication by the fast inverse square`` (a : Vector2) =
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let scale = MathHelper.InverseSqrtFast(a.X * a.X + a.Y * a.Y)
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let norm = a * scale
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let vRes = Vector2.NormalizeFast(ref a)
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Assert.ApproximatelyEqual(norm, vRes)
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[<Property>]
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let ``Fast approximate normalization is the same as multiplication by the fast inverse square`` (a : Vector2) =
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let scale = MathHelper.InverseSqrtFast(a.X * a.X + a.Y * a.Y)
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let norm = a * scale
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Assert.ApproximatelyEqual(norm, Vector2.NormalizeFast(a));
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module ``Component min and max`` =
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//
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[<Property>]
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let ``ComponentMin produces a new vector from the smallest components of the given vectors`` (x, y, u, w) =
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let v1 = Vector2(x, y)
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let v2 = Vector2(u, w)
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let vMin = Vector2.ComponentMin(v1, v2)
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Assert.True(vMin.X <= v1.X)
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Assert.True(vMin.X <= v2.X)
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Assert.True(vMin.Y <= v1.Y)
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Assert.True(vMin.Y <= v2.Y)
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[<Property>]
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let ``ComponentMax produces a new vector from the largest components of the given vectors`` (x, y, u, w) =
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let v1 = Vector2(x, y)
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let v2 = Vector2(u, w)
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let vMax = Vector2.ComponentMax(v1, v2)
|
|
|
|
Assert.True(vMax.X >= v1.X)
|
|
Assert.True(vMax.X >= v2.X)
|
|
|
|
Assert.True(vMax.Y >= v1.Y)
|
|
Assert.True(vMax.Y >= v2.Y)
|
|
|
|
[<Property>]
|
|
let ``ComponentMin by reference produces a new vector from the smallest components of the given vectors`` (x, y, u, w) =
|
|
let v1 = Vector2(x, y)
|
|
let v2 = Vector2(u, w)
|
|
|
|
let vMin = Vector2.ComponentMin(ref v1, ref v2)
|
|
|
|
Assert.True(vMin.X <= v1.X)
|
|
Assert.True(vMin.X <= v2.X)
|
|
|
|
Assert.True(vMin.Y <= v1.Y)
|
|
Assert.True(vMin.Y <= v2.Y)
|
|
|
|
[<Property>]
|
|
let ``ComponentMax by reference produces a new vector from the largest components of the given vectors`` (x, y, u, w) =
|
|
let v1 = Vector2(x, y)
|
|
let v2 = Vector2(u, w)
|
|
|
|
let vMax = Vector2.ComponentMax(ref v1, ref v2)
|
|
|
|
Assert.True(vMax.X >= v1.X)
|
|
Assert.True(vMax.X >= v2.X)
|
|
|
|
Assert.True(vMax.Y >= v1.Y)
|
|
Assert.True(vMax.Y >= v2.Y)
|
|
|
|
[<Property>]
|
|
let ``Min selects the vector with lesser magnitude given two vectors`` (x, y, u, w) =
|
|
let v1 = Vector2(x, y)
|
|
let v2 = Vector2(u, w)
|
|
|
|
let l1 = v1.LengthSquared
|
|
let l2 = v2.LengthSquared
|
|
|
|
let vMin = Vector2.Min(v1, v2)
|
|
|
|
if l1 < l2 then
|
|
let equalsFirst = vMin = v1
|
|
Assert.True(equalsFirst)
|
|
else
|
|
let equalsLast = vMin = v2
|
|
Assert.True(equalsLast)
|
|
|
|
[<Property>]
|
|
let ``Max selects the vector with greater magnitude given two vectors`` (x, y, u, w) =
|
|
let v1 = Vector2(x, y)
|
|
let v2 = Vector2(u, w)
|
|
|
|
let l1 = v1.LengthSquared
|
|
let l2 = v2.LengthSquared
|
|
|
|
let vMin = Vector2.Max(v1, v2)
|
|
|
|
if l1 >= l2 then
|
|
let equalsFirst = vMin = v1
|
|
Assert.True(equalsFirst)
|
|
else
|
|
let equalsLast = vMin = v2
|
|
Assert.True(equalsLast)
|
|
|
|
[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
|
|
module Transformation =
|
|
//
|
|
[<Property>]
|
|
let ``Transformation by quaternion is the same as multiplication by quaternion and its conjugate`` (v : Vector2, q : Quaternion) =
|
|
let vectorQuat = Quaternion(v.X, v.Y, 0.0f, 0.0f)
|
|
let inverse = Quaternion.Invert(q)
|
|
|
|
let transformedQuat = q * vectorQuat * inverse
|
|
let transformedVector = Vector2(transformedQuat.X, transformedQuat.Y)
|
|
|
|
Assert.Equal(transformedVector, Vector2.Transform(v, q))
|
|
|
|
[<Property>]
|
|
let ``Transformation by quaternion by reference is the same as multiplication by quaternion and its conjugate`` (v : Vector2, q : Quaternion) =
|
|
let vectorQuat = Quaternion(v.X, v.Y, 0.0f, 0.0f)
|
|
let inverse = Quaternion.Invert(q)
|
|
|
|
let transformedQuat = q * vectorQuat * inverse
|
|
let transformedVector = Vector2(transformedQuat.X, transformedQuat.Y)
|
|
|
|
Assert.Equal(transformedVector, Vector2.Transform(ref v, ref q))
|
|
|
|
[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
|
|
module Serialization =
|
|
//
|
|
[<Property>]
|
|
let ``The absolute size of a Vector2 is always the size of its components`` (v : Vector2) =
|
|
let expectedSize = sizeof<float32> * 2
|
|
|
|
Assert.Equal(expectedSize, Vector2.SizeInBytes)
|
|
Assert.Equal(expectedSize, Marshal.SizeOf(Vector2())) |