6ad8b92c84
* Move generators and assertions to helper library. * Add example usage to bezier curve tests. * Add FsCheck to OpenTK.Tests.Math via paket. * Tweak fsharp msbuild settings for OpenTK.Tests.Generators.
765 lines
No EOL
28 KiB
Forth
765 lines
No EOL
28 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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open OpenTK.Tests.Generators
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module Vector3 =
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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 ``Triple value constructor sets all components to the correct values`` (a, b, c) =
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let v = Vector3(a, b, c)
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Assert.Equal(a, v.X)
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Assert.Equal(b, v.Y)
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Assert.Equal(c, v.Z)
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[<Property>]
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let ``Single value constructor sets all components to the correct values`` (a : float32) =
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let v = Vector3(a)
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Assert.Equal(a, v.X)
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Assert.Equal(a, v.Y)
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Assert.Equal(a, v.Z)
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[<Property>]
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let ``Vector2 value constructor sets all components to the correct values`` (a, b) =
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let v1 = Vector2(a, b)
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let v2 = Vector3(v1)
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Assert.Equal(v1.X, v2.X)
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Assert.Equal(v1.Y, v2.Y)
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Assert.Equal(a, v2.X)
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Assert.Equal(b, v2.Y)
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Assert.Equal(0.0f, v2.Z)
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[<Property>]
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let ``Vector3 value constructor sets all components to the correct values`` (a, b, c) =
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let v1 = Vector3(a, b, c)
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let v2 = Vector3(v1)
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Assert.Equal(v1.X, v2.X)
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Assert.Equal(v1.Y, v2.Y)
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Assert.Equal(v1.Z, v2.Z)
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Assert.Equal(a, v2.X)
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Assert.Equal(b, v2.Y)
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Assert.Equal(c, v2.Z)
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[<Property>]
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let ``Vector4 value constructor sets all components to the correct values`` (a, b, c, d) =
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let v1 = Vector4(a, b, c, d)
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let v2 = Vector3(v1)
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Assert.Equal(v1.X, v2.X)
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Assert.Equal(v1.Y, v2.Y)
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Assert.Equal(v1.Z, v2.Z)
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Assert.Equal(a, v2.X)
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Assert.Equal(b, v2.Y)
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Assert.Equal(c, v2.Z)
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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, z) =
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let v = Vector3(x, y, z)
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Assert.Equal(x, v.[0])
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Assert.Equal(y, v.[1])
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Assert.Equal(z, v.[2])
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[<Property>]
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let ``Indexed set operator throws exception for negative indices`` (x, y, z) =
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let mutable v = Vector3(x, y, z)
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(fun() -> v.[-1] <- x) |> Assert.ThrowsIndexExn
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[<Property>]
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let ``Indexed get operator throws exception for negative indices`` (x, y, z) =
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let mutable v = Vector3(x, y, z)
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(fun() -> v.[-1] |> ignore) |> Assert.ThrowsIndexExn
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[<Property>]
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let ``Indexed set operator throws exception for large indices`` (x, y, z) =
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let mutable v = Vector3(x, y, z)
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(fun() -> v.[4] <- x) |> Assert.ThrowsIndexExn
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[<Property>]
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let ``Indexed get operator throws exception for large indices`` (x, y, z) =
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let mutable v = Vector3(x, y, z)
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(fun() -> v.[4] |> ignore) |> Assert.ThrowsIndexExn
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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 method follows the pythagorean theorem`` (a, b, c) =
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let v = Vector3(a, b, c)
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let l = System.Math.Sqrt((float)(a * a + b * b + c * c))
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Assert.Equal((float32)l, v.Length)
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[<Property>]
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let ``Fast length method is the same as one divided by the fast inverse square`` (a, b, c) =
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let v = Vector3(a, b, c)
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let l = 1.0f / MathHelper.InverseSqrtFast(a * a + b * b + c * c)
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Assert.Equal(l, v.LengthFast)
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[<Property>]
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let ``Length squared method returns each component squared and summed`` (a, b, c) =
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let v = Vector3(a, b, c)
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let lsq = a * a + b * b + c * c
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Assert.Equal(lsq, v.LengthSquared)
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[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
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module Distance =
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[<Property>]
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let ``Distance(a, b) = (b - a).Length`` (a : Vector3, b : Vector3) =
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Assert.ApproximatelyEqual(Vector3.Distance(a, b), (b - a).Length)
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[<Property>]
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let ``DistanceSquared(a, b) = (b - a).LengthSquared`` (a : Vector3, b : Vector3) =
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Assert.ApproximatelyEqual(Vector3.DistanceSquared(a, b), (b - a).LengthSquared)
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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, c) =
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let v = Vector3(a, b, c)
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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.ApproximatelyEquivalent(v.X / l, norm.X)
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Assert.ApproximatelyEquivalent(v.Y / l, norm.Y)
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Assert.ApproximatelyEquivalent(v.Z / l, norm.Z)
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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, c) =
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let v = Vector3(a, b, c)
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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 = Vector3(a, b, c)
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norm.Normalize()
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Assert.ApproximatelyEquivalent(v.X / l, norm.X)
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Assert.ApproximatelyEquivalent(v.Y / l, norm.Y)
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Assert.ApproximatelyEquivalent(v.Z / l, norm.Z)
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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, c) =
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let v = Vector3(a, b, c)
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let norm = Vector3(a, b, c)
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norm.NormalizeFast()
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let scale = MathHelper.InverseSqrtFast(a * a + b * b + c * c)
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Assert.ApproximatelyEquivalent(v.X * scale, norm.X)
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Assert.ApproximatelyEquivalent(v.Y * scale, norm.Y)
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Assert.ApproximatelyEquivalent(v.Z * scale, norm.Z)
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[<Property>]
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let ``Normalization by reference is the same as division by magnitude`` (a : Vector3) =
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// Zero-length vectors can't be normalized
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if not (approxEq a.Length 0.0f) then
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let norm = a / a.Length
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let vRes = Vector3.Normalize(ref a)
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Assert.ApproximatelyEquivalent(norm, vRes)
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[<Property>]
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let ``Normalization is the same as division by magnitude`` (a : Vector3) =
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// Zero-length vectors can't be normalized
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if not (approxEq a.Length 0.0f) then
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let norm = a / a.Length
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Assert.ApproximatelyEquivalent(norm, Vector3.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 : Vector3) =
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let scale = MathHelper.InverseSqrtFast(a.X * a.X + a.Y * a.Y + a.Z * a.Z)
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let norm = a * scale
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let vRes = Vector3.NormalizeFast(ref a)
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Assert.ApproximatelyEquivalent(norm, vRes)
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[<Property>]
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let ``Fast approximate normalization is the same as multiplication by fast inverse square`` (a : Vector3) =
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let scale = MathHelper.InverseSqrtFast(a.X * a.X + a.Y * a.Y + a.Z * a.Z)
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let norm = a * scale
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Assert.ApproximatelyEquivalent(norm, Vector3.NormalizeFast(a));
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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 ``Vector3 addition is the same as component addition`` (a : Vector3, b : Vector3) =
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let c = a + b
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Assert.ApproximatelyEquivalent(a.X + b.X,c.X)
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Assert.ApproximatelyEquivalent(a.Y + b.Y,c.Y)
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Assert.ApproximatelyEquivalent(a.Z + b.Z,c.Z)
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[<Property>]
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let ``Vector3 addition is commutative`` (a : Vector3, b : Vector3) =
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let c = a + b
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let c2 = b + a
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Assert.ApproximatelyEquivalent(c, c2)
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[<Property>]
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let ``Vector3 addition is associative`` (a : Vector3, b : Vector3, c : Vector3) =
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let r1 = (a + b) + c
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let r2 = a + (b + c)
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Assert.ApproximatelyEquivalent(r1, r2)
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[<Property>]
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let ``Static Vector3 addition method is the same as component addition`` (a : Vector3, b : Vector3) =
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let v1 = Vector3(a.X + b.X, a.Y + b.Y, a.Z + b.Z)
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let sum = Vector3.Add(a, b)
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Assert.ApproximatelyEquivalent(v1, sum)
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[<Property>]
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let ``Static Vector3 addition method by reference is the same as component addition`` (a : Vector3, b : Vector3) =
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let v1 = Vector3(a.X + b.X, a.Y + b.Y, a.Z + b.Z)
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let sum = Vector3.Add(ref a, ref b)
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Assert.ApproximatelyEquivalent(v1, sum)
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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 ``Vector3 subtraction is the same as component subtraction`` (a : Vector3, b : Vector3) =
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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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Assert.Equal(a.Z - b.Z,c.Z)
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[<Property>]
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let ``Static Vector3 subtraction method is the same as component addition`` (a : Vector3, b : Vector3) =
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let v1 = Vector3(a.X - b.X, a.Y - b.Y, a.Z - b.Z)
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let sum = Vector3.Subtract(a, b)
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Assert.ApproximatelyEquivalent(v1, sum)
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[<Property>]
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let ``Static Vector3 subtraction method by reference is the same as component addition`` (a : Vector3, b : Vector3) =
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let v1 = Vector3(a.X - b.X, a.Y - b.Y, a.Z - b.Z)
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let sum = Vector3.Subtract(ref a, ref b)
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Assert.ApproximatelyEquivalent(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 ``Vector3 multiplication is the same as component multiplication`` (a : Vector3, b : Vector3) =
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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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Assert.Equal(a.Z * b.Z,c.Z)
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[<Property>]
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let ``Vector3 multiplication is commutative`` (a : Vector3, b : Vector3) =
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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 Vector3-scalar multiplication is the same as component-scalar multiplication`` (a : Vector3, 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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Assert.Equal(a.Z * f,r.Z)
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[<Property>]
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let ``Right-handed Vector3-scalar multiplication is the same as component-scalar multiplication`` (a : Vector3, 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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Assert.Equal(a.Z * f,r.Z)
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[<Property>]
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let ``Static method Vector3-scalar multiplication is the same as component-scalar multiplication`` (a : Vector3, f : float32) =
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let r = Vector3.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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Assert.Equal(a.Z * f,r.Z)
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[<Property>]
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let ``Vector3-Matrix3 multiplication using right-handed notation is the same as vector/row multiplication and summation`` (a : Matrix3, b : Vector3) =
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let res = a*b
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let c1 = b.X * a.M11 + b.Y * a.M12 + b.Z * a.M13
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let c2 = b.X * a.M21 + b.Y * a.M22 + b.Z * a.M23
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let c3 = b.X * a.M31 + b.Y * a.M32 + b.Z * a.M33
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let exp = Vector3(c1, c2, c3)
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Assert.Equal(exp, res)
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[<Property>]
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let ``Vector3-Matrix3 multiplication using left-handed notation is the same as vector/column multiplication and summation`` (a : Matrix3, b : Vector3) =
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let res = b*a
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let c1 = b.X * a.M11 + b.Y * a.M21 + b.Z * a.M31
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let c2 = b.X * a.M12 + b.Y * a.M22 + b.Z * a.M32
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let c3 = b.X * a.M13 + b.Y * a.M23 + b.Z * a.M33
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let exp = Vector3(c1, c2, c3)
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Assert.Equal(exp, res)
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[<Property>]
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let ``Static Vector3 multiplication method is the same as component multiplication`` (a : Vector3, b : Vector3) =
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let v1 = Vector3(a.X * b.X, a.Y * b.Y, a.Z * b.Z)
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let sum = Vector3.Multiply(a, b)
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Assert.ApproximatelyEquivalent(v1, sum)
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[<Property>]
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let ``Static Vector3 multiplication method by reference is the same as component multiplication`` (a : Vector3, b : Vector3) =
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let v1 = Vector3(a.X * b.X, a.Y * b.Y, a.Z * b.Z)
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let sum = Vector3.Multiply(ref a, ref b)
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Assert.ApproximatelyEquivalent(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 ``Vector3-float division is the same as component-float division`` (a : Vector3, f : float32) =
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if not (approxEq f 0.0f) then // we don't support diving by zero.
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let r = a / f
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Assert.ApproximatelyEquivalent(a.X / f,r.X)
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Assert.ApproximatelyEquivalent(a.Y / f,r.Y)
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Assert.ApproximatelyEquivalent(a.Z / f,r.Z)
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[<Property>]
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let ``Static Vector3-Vector3 division method is the same as component division`` (a : Vector3, b : Vector3) =
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if not (anyZero3 a || anyZero3 b) then
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let v1 = Vector3(a.X / b.X, a.Y / b.Y, a.Z / b.Z)
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let sum = Vector3.Divide(a, b)
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Assert.ApproximatelyEquivalent(v1, sum)
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[<Property>]
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let ``Static Vector3-Vector3 divison method by reference is the same as component division`` (a : Vector3, b : Vector3) =
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if not (anyZero3 a || anyZero3 b) then
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let v1 = Vector3(a.X / b.X, a.Y / b.Y, a.Z / b.Z)
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let sum = Vector3.Divide(ref a, ref b)
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Assert.ApproximatelyEquivalent(v1, sum)
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[<Property>]
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let ``Static Vector3-scalar division method is the same as component division`` (a : Vector3, b : float32) =
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if not (approxEq b 0.0f) then // we don't support diving by zero.
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let v1 = Vector3(a.X / b, a.Y / b, a.Z / b)
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let sum = Vector3.Divide(a, b)
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Assert.ApproximatelyEquivalent(v1, sum)
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[<Property>]
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let ``Static Vector3-scalar divison method by reference is the same as component division`` (a : Vector3, b : float32) =
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if not (approxEq b 0.0f) then // we don't support diving by zero.
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let v1 = Vector3(a.X / b, a.Y / b, a.Z / b)
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let sum = Vector3.Divide(ref a, b)
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Assert.ApproximatelyEquivalent(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, z) =
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let v = Vector3(x, y, z)
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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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Assert.Equal(-z, vNeg.Z)
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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, z) =
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let v1 = Vector3(x, y, z)
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let v2 = Vector3(x, y, z)
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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, z) =
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let v1 = Vector3(x, y, z)
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let v2 = Vector3(x + 1.0f , y + 1.0f, z + 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, z) =
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let v1 = Vector3(x, y, z)
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let v2 = Vector3(x, y, z)
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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 composite for X-primary components`` (x, y, z) =
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let v = Vector3(x, y, z)
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let xyz = Vector3(x, y, z)
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let xzy = Vector3(x, z, y)
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let xy = Vector2(x, y)
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let xz = Vector2(x, z)
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Assert.Equal(xyz, v);
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Assert.Equal(xzy, v.Xzy);
|
|
Assert.Equal(xy, v.Xy);
|
|
Assert.Equal(xz, v.Xz);
|
|
|
|
[<Property>]
|
|
let ``Vector swizzling returns the correct composite for Y-primary components`` (x, y, z) =
|
|
let v = Vector3(x, y, z)
|
|
|
|
let yxz = Vector3(y, x, z)
|
|
let yzx = Vector3(y, z, x)
|
|
let yx = Vector2(y, x)
|
|
let yz = Vector2(y, z)
|
|
|
|
Assert.Equal(yxz, v.Yxz);
|
|
Assert.Equal(yzx, v.Yzx);
|
|
Assert.Equal(yx, v.Yx);
|
|
Assert.Equal(yz, v.Yz);
|
|
|
|
[<Property>]
|
|
let ``Vector swizzling returns the correct composite for Z-primary components`` (x, y, z) =
|
|
let v = Vector3(x, y, z)
|
|
|
|
let zxy = Vector3(z, x, y)
|
|
let zyx = Vector3(z, y, x)
|
|
let zx = Vector2(z, x)
|
|
let zy = Vector2(z, y);
|
|
|
|
Assert.Equal(zxy, v.Zxy);
|
|
Assert.Equal(zyx, v.Zyx);
|
|
Assert.Equal(zx, v.Zx);
|
|
Assert.Equal(zy, v.Zy);
|
|
|
|
[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
|
|
module Interpolation =
|
|
//
|
|
[<Property>]
|
|
let ``Linear interpolation is by component`` (a : Vector3, b : Vector3, q) =
|
|
|
|
let blend = q
|
|
|
|
let rX = blend * (b.X - a.X) + a.X
|
|
let rY = blend * (b.Y - a.Y) + a.Y
|
|
let rZ = blend * (b.Z - a.Z) + a.Z
|
|
let vExp = Vector3(rX, rY, rZ)
|
|
|
|
Assert.Equal(vExp, Vector3.Lerp(a, b, q))
|
|
|
|
let vRes = Vector3.Lerp(ref a, ref b, q)
|
|
Assert.Equal(vExp, vRes)
|
|
|
|
[<Property>]
|
|
let ``Barycentric interpolation follows the barycentric formula`` (a : Vector3, b : Vector3, c : Vector3, u, v) =
|
|
|
|
let r = a + u * (b - a) + v * (c - a)
|
|
|
|
Assert.Equal(r, Vector3.BaryCentric(a, b, c, u, v))
|
|
|
|
let vRes = Vector3.BaryCentric(ref a, ref b, ref c, u, v)
|
|
Assert.Equal(r, vRes)
|
|
|
|
[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
|
|
module ``Vector products`` =
|
|
//
|
|
[<Property>]
|
|
let ``Dot product follows the dot product formula`` (a : Vector3, b : Vector3) =
|
|
let dot = a.X * b.X + a.Y * b.Y + a.Z * b.Z
|
|
|
|
Assert.Equal(dot, Vector3.Dot(a, b));
|
|
|
|
let vRes = Vector3.Dot(ref a, ref b)
|
|
Assert.Equal(dot, vRes)
|
|
|
|
[<Property>]
|
|
let ``Cross product follows the cross product formula`` (a : Vector3, b : Vector3) =
|
|
let crossX = a.Y * b.Z - a.Z * b.Y
|
|
let crossY = a.Z * b.X - a.X * b.Z
|
|
let crossZ = a.X * b.Y - a.Y * b.X
|
|
let cross = Vector3(crossX, crossY, crossZ)
|
|
|
|
Assert.Equal(cross, Vector3.Cross(a, b));
|
|
|
|
let vRes = Vector3.Cross(ref a, ref b)
|
|
Assert.Equal(cross, vRes)
|
|
|
|
[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
|
|
module ``Magnitude min and max`` =
|
|
//
|
|
[<Property>]
|
|
let ``MagnitudeMin selects the vector with equal or lesser magnitude given two vectors`` (v1 : Vector3, v2: Vector3) =
|
|
// Results do not matter for equal vectors
|
|
if not (v1 = v2) then
|
|
let l1 = v1.LengthSquared
|
|
let l2 = v2.LengthSquared
|
|
|
|
let vMin = Vector3.MagnitudeMin(v1, v2)
|
|
|
|
if vMin = v1 then
|
|
let v1ShorterThanv2 = l1 < l2
|
|
Assert.True(v1ShorterThanv2)
|
|
else
|
|
let v2ShorterThanOrEqualTov1 = l2 <= l1
|
|
Assert.True(v2ShorterThanOrEqualTov1)
|
|
|
|
[<Property>]
|
|
let ``MagnitudeMax selects the vector with equal or greater magnitude given two vectors`` (v1 : Vector3, v2: Vector3) =
|
|
// Results do not matter for equal vectors
|
|
if not (v1 = v2) then
|
|
let l1 = v1.LengthSquared
|
|
let l2 = v2.LengthSquared
|
|
|
|
let vMin = Vector3.MagnitudeMax(v1, v2)
|
|
|
|
if vMin = v1 then
|
|
let v1LongerThanOrEqualTov2 = l1 >= l2
|
|
Assert.True(v1LongerThanOrEqualTov2)
|
|
else
|
|
let v2LongerThanv1 = l2 > l1
|
|
Assert.True(v2LongerThanv1)
|
|
|
|
[<Property>]
|
|
let ``MagnitudeMin by reference selects the vector with equal or lesser magnitude given two vectors`` (v1 : Vector3, v2: Vector3) =
|
|
// Results do not matter for equal vectors
|
|
if not (v1 = v2) then
|
|
let l1 = v1.LengthSquared
|
|
let l2 = v2.LengthSquared
|
|
|
|
let vMin = Vector3.MagnitudeMin(ref v1, ref v2)
|
|
|
|
if vMin = v1 then
|
|
let v1ShorterThanv2 = l1 < l2
|
|
Assert.True(v1ShorterThanv2)
|
|
else
|
|
let v2ShorterThanOrEqualTov1 = l2 <= l1
|
|
Assert.True(v2ShorterThanOrEqualTov1)
|
|
|
|
[<Property>]
|
|
let ``MagnitudeMax by reference selects the vector with equal or greater magnitude given two vectors`` (v1 : Vector3, v2: Vector3) =
|
|
// Results do not matter for equal vectors
|
|
if not (v1 = v2) then
|
|
let l1 = v1.LengthSquared
|
|
let l2 = v2.LengthSquared
|
|
|
|
let vMin = Vector3.MagnitudeMax(ref v1, ref v2)
|
|
|
|
if vMin = v1 then
|
|
let v1LongerThanOrEqualTov2 = l1 >= l2
|
|
Assert.True(v1LongerThanOrEqualTov2)
|
|
else
|
|
let v2LongerThanv1 = l2 > l1
|
|
Assert.True(v2LongerThanv1)
|
|
|
|
[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
|
|
module ``Component min and max`` =
|
|
//
|
|
[<Property>]
|
|
let ``ComponentMin creates a new vector from the smallest components of given vectors`` (v1 : Vector3, v2: Vector3) =
|
|
let vMin = Vector3.ComponentMin(v1, v2)
|
|
let isComponentSmallest smallComp comp1 comp2 = smallComp <= comp1 && smallComp <= comp2
|
|
|
|
Assert.True(isComponentSmallest vMin.X v1.X v2.X)
|
|
Assert.True(isComponentSmallest vMin.Y v1.Y v2.Y)
|
|
Assert.True(isComponentSmallest vMin.Z v1.Z v2.Z)
|
|
|
|
[<Property>]
|
|
let ``ComponentMax creates a new vector from the greatest components of given vectors`` (v1 : Vector3, v2: Vector3) =
|
|
let vMax = Vector3.ComponentMax(v1, v2)
|
|
let isComponentLargest largeComp comp1 comp2 = largeComp >= comp1 && largeComp >= comp2
|
|
|
|
Assert.True(isComponentLargest vMax.X v1.X v2.X)
|
|
Assert.True(isComponentLargest vMax.Y v1.Y v2.Y)
|
|
Assert.True(isComponentLargest vMax.Z v1.Z v2.Z)
|
|
|
|
[<Property>]
|
|
let ``ComponentMin by reference creates a new vector from the smallest components of given vectors`` (v1 : Vector3, v2: Vector3) =
|
|
let vMin = Vector3.ComponentMin(ref v1, ref v2)
|
|
let isComponentSmallest smallComp comp1 comp2 = smallComp <= comp1 && smallComp <= comp2
|
|
|
|
Assert.True(isComponentSmallest vMin.X v1.X v2.X)
|
|
Assert.True(isComponentSmallest vMin.Y v1.Y v2.Y)
|
|
Assert.True(isComponentSmallest vMin.Z v1.Z v2.Z)
|
|
|
|
[<Property>]
|
|
let ``ComponentMax by reference creates a new vector from the greatest components of given vectors`` (v1 : Vector3, v2: Vector3) =
|
|
let vMax = Vector3.ComponentMax(ref v1, ref v2)
|
|
let isComponentLargest largeComp comp1 comp2 = largeComp >= comp1 && largeComp >= comp2
|
|
|
|
Assert.True(isComponentLargest vMax.X v1.X v2.X)
|
|
Assert.True(isComponentLargest vMax.Y v1.Y v2.Y)
|
|
Assert.True(isComponentLargest vMax.Z v1.Z v2.Z)
|
|
|
|
[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
|
|
module Clamping =
|
|
//
|
|
[<Property>]
|
|
let ``Clamping one vector between two other vectors clamps all components between corresponding components`` (a : Vector3, b : Vector3, w : Vector3) =
|
|
let res = Vector3.Clamp(w, a, b)
|
|
|
|
let expX = if w.X < a.X then a.X else if w.X > b.X then b.X else w.X
|
|
let expY = if w.Y < a.Y then a.Y else if w.Y > b.Y then b.Y else w.Y
|
|
let expZ = if w.Z < a.Z then a.Z else if w.Z > b.Z then b.Z else w.Z
|
|
|
|
Assert.Equal(expX, res.X)
|
|
Assert.Equal(expY, res.Y)
|
|
Assert.Equal(expZ, res.Z)
|
|
|
|
[<Property>]
|
|
let ``Clamping one vector between two other vectors by reference clamps all components between corresponding components`` (a : Vector3, b : Vector3, w : Vector3) =
|
|
let res = Vector3.Clamp(ref w, ref a, ref b)
|
|
|
|
let expX = if w.X < a.X then a.X else if w.X > b.X then b.X else w.X
|
|
let expY = if w.Y < a.Y then a.Y else if w.Y > b.Y then b.Y else w.Y
|
|
let expZ = if w.Z < a.Z then a.Z else if w.Z > b.Z then b.Z else w.Z
|
|
|
|
Assert.Equal(expX, res.X)
|
|
Assert.Equal(expY, res.Y)
|
|
Assert.Equal(expZ, res.Z)
|
|
|
|
[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
|
|
module ``Unit vectors``=
|
|
//
|
|
[<Property>]
|
|
let ``Unit X is correct`` =
|
|
let unitX = Vector3(1.0f, 0.0f, 0.0f)
|
|
|
|
Assert.Equal(Vector3.UnitX, unitX)
|
|
|
|
[<Property>]
|
|
let ``Unit Y is correct`` =
|
|
let unitY = Vector3(0.0f, 1.0f, 0.0f)
|
|
|
|
Assert.Equal(Vector3.UnitY, unitY)
|
|
|
|
[<Property>]
|
|
let ``Unit Z is correct`` =
|
|
let unitZ = Vector3(0.0f, 0.0f, 1.0f)
|
|
|
|
Assert.Equal(Vector3.UnitZ, unitZ)
|
|
|
|
[<Property>]
|
|
let ``Unit zero is correct`` =
|
|
let unitZero = Vector3(0.0f, 0.0f, 0.0f)
|
|
|
|
Assert.Equal(Vector3.Zero, unitZero)
|
|
|
|
[<Property>]
|
|
let ``Unit one is correct`` =
|
|
let unitOne = Vector3(1.0f, 1.0f, 1.0f)
|
|
|
|
Assert.Equal(Vector3.One, unitOne)
|
|
|
|
[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
|
|
module Serialization =
|
|
//
|
|
[<Property>]
|
|
let ``The absolute size of a Vector3 is always the size of its components`` (v : Vector3) =
|
|
let expectedSize = sizeof<float32> * 3
|
|
|
|
Assert.Equal(expectedSize, Vector3.SizeInBytes)
|
|
Assert.Equal(expectedSize, Marshal.SizeOf(Vector3()))
|
|
|
|
[<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
|
|
module Transformation =
|
|
//
|
|
[<Property>]
|
|
let ``Transformation by quaternion is the same as multiplication by quaternion and its conjugate`` (v : Vector3, q : Quaternion) =
|
|
let vectorQuat = Quaternion(v.X, v.Y, v.Z, 0.0f)
|
|
let inverse = Quaternion.Invert(q)
|
|
|
|
let transformedQuat = q * vectorQuat * inverse
|
|
let transformedVector = transformedQuat.Xyz
|
|
|
|
Assert.ApproximatelyEquivalent(transformedVector, Vector3.Transform(v, q))
|
|
|
|
[<Property>]
|
|
let ``Transformation by quaternion by reference is the same as multiplication by quaternion and its conjugate`` (v : Vector3, q : Quaternion) =
|
|
let vectorQuat = Quaternion(v.X, v.Y, v.Z, 0.0f)
|
|
let inverse = Quaternion.Invert(q)
|
|
|
|
let transformedQuat = q * vectorQuat * inverse
|
|
let transformedVector = transformedQuat.Xyz
|
|
|
|
Assert.ApproximatelyEquivalent(transformedVector, Vector3.Transform(ref v, ref q))
|
|
|
|
[<Property>]
|
|
let ``Transformation by quaternion by multiplication using right-handed notation is the same as multiplication by quaternion and its conjugate`` (v : Vector3, q : Quaternion) =
|
|
let vectorQuat = Quaternion(v.X, v.Y, v.Z, 0.0f)
|
|
let inverse = Quaternion.Invert(q)
|
|
|
|
let transformedQuat = q * vectorQuat * inverse
|
|
let transformedVector = transformedQuat.Xyz
|
|
|
|
Assert.ApproximatelyEquivalent(transformedVector, q * v)
|
|
|
|
[<Property>]
|
|
let ``Transformation by identity quaternion does not alter vector`` (v : Vector3) =
|
|
let q = Quaternion.Identity
|
|
let vectorQuat = Quaternion(v.X, v.Y, v.Z, 0.0f)
|
|
let inverse = Quaternion.Invert(q)
|
|
|
|
let transformedQuat = q * vectorQuat * inverse
|
|
let transformedVector = transformedQuat.Xyz
|
|
|
|
Assert.ApproximatelyEquivalent(v, transformedVector)
|
|
Assert.ApproximatelyEquivalent(v, Vector3.Transform(v, q))
|
|
Assert.ApproximatelyEquivalent(transformedVector, Vector3.Transform(v, q)) |