--- /dev/null
+namespace OpenTK.Tests
+
+open Xunit
+open FsCheck
+open FsCheck.Xunit
+open System
+open OpenTK
+
+module Vector3 =
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Constructors =
+ //
+ [<Property>]
+ let ``Triple value constructor sets all components to the correct values`` (a, b, c) =
+ let v = Vector3(a, b, c)
+
+ Assert.Equal(a, v.X)
+ Assert.Equal(b, v.Y)
+ Assert.Equal(c, v.Z)
+
+ [<Property>]
+ let ``Single value constructor sets all components to the correct values`` (a : float32) =
+ let v = Vector3(a)
+
+ Assert.Equal(a, v.X)
+ Assert.Equal(a, v.Y)
+ Assert.Equal(a, v.Z)
+
+ [<Property>]
+ let ``Vector2 value constructor sets all components to the correct values`` (a, b) =
+ let v1 = Vector2(a, b)
+ let v2 = Vector3(v1)
+
+ Assert.Equal(v1.X, v2.X)
+ Assert.Equal(v1.Y, v2.Y)
+
+ Assert.Equal(a, v2.X)
+ Assert.Equal(b, v2.Y)
+ Assert.Equal((float32)0, v2.Z)
+
+ [<Property>]
+ let ``Vector3 value constructor sets all components to the correct values`` (a, b, c) =
+ let v1 = Vector3(a, b, c)
+ let v2 = Vector3(v1)
+
+ Assert.Equal(v1.X, v2.X)
+ Assert.Equal(v1.Y, v2.Y)
+ Assert.Equal(v1.Z, v2.Z)
+
+ Assert.Equal(a, v2.X)
+ Assert.Equal(b, v2.Y)
+ Assert.Equal(c, v2.Z)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Indexing =
+ //
+ [<Property>]
+ let ``Index operator accesses the correct components`` (a, b, c) =
+ let v = Vector3(a, b, c)
+
+ Assert.Equal(a, v.[0])
+ Assert.Equal(b, v.[1])
+ Assert.Equal(c, v.[2])
+
+ [<Property>]
+ let ``Index operator throws exception for negative indices`` (a, b, c) =
+ let mutable v = Vector3(a, b, c)
+
+ let invalidIndexingAccess = fun() -> v.[-1] |> ignore
+ let invalidIndexingAssignment = fun() -> v.[-1] <- a
+
+ Assert.Throws<IndexOutOfRangeException>(invalidIndexingAccess) |> ignore
+ Assert.Throws<IndexOutOfRangeException>(invalidIndexingAssignment) |> ignore
+
+ [<Property>]
+ let ``Index operator throws exception for large indices`` (a, b, c) =
+ let mutable v = Vector3(a, b, c)
+
+ let invalidIndexingAccess = fun() -> v.[3] |> ignore
+ let invalidIndexingAssignment = fun() -> v.[3] <- a
+
+ Assert.Throws<IndexOutOfRangeException>(invalidIndexingAccess) |> ignore
+ Assert.Throws<IndexOutOfRangeException>(invalidIndexingAssignment) |> ignore
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Length =
+ //
+ [<Property>]
+ let ``Length method works`` (a, b, c) =
+ let v = Vector3(a, b, c)
+ let l = System.Math.Sqrt((float)(a * a + b * b + c * c))
+
+ Assert.Equal((float32)l, v.Length)
+
+ [<Property>]
+ let ``Fast length method works`` (a, b, c) =
+ let v = Vector3(a, b, c)
+ let l = 1.0f / MathHelper.InverseSqrtFast(a * a + b * b + c * c)
+
+ Assert.Equal(l, v.LengthFast)
+
+ [<Property>]
+ let ``Length squared method works`` (a, b, c) =
+ let v = Vector3(a, b, c)
+ let lsq = a * a + b * b + c * c
+
+ Assert.Equal(lsq, v.LengthSquared)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Normalization =
+ //
+ [<Property>]
+ let ``Normalization of instance, creating a new vector, works`` (a, b, c) =
+ let v = Vector3(a, b, c)
+ let l = v.Length
+
+ let norm = v.Normalized()
+
+ Assert.ApproximatelyEqual(v.X / l, norm.X)
+ Assert.ApproximatelyEqual(v.Y / l, norm.Y)
+ Assert.ApproximatelyEqual(v.Z / l, norm.Z)
+
+ [<Property>]
+ let ``Normalization of instance works`` (a, b, c) =
+ let v = Vector3(a, b, c)
+ let norm = Vector3(a, b, c)
+ norm.Normalize()
+
+ let l = v.Length
+
+ Assert.ApproximatelyEqual(v.X / l, norm.X)
+ Assert.ApproximatelyEqual(v.Y / l, norm.Y)
+ Assert.ApproximatelyEqual(v.Z / l, norm.Z)
+
+ [<Property>]
+ let ``Fast approximate normalization of instance works`` (a, b, c) =
+ let v = Vector3(a, b, c)
+ let norm = Vector3(a, b, c)
+ norm.NormalizeFast()
+
+ let scale = MathHelper.InverseSqrtFast(a * a + b * b + c * c)
+
+ Assert.ApproximatelyEqual(v.X * scale, norm.X)
+ Assert.ApproximatelyEqual(v.Y * scale, norm.Y)
+ Assert.ApproximatelyEqual(v.Z * scale, norm.Z)
+
+ [<Property>]
+ let ``Normalization by reference works`` (a : Vector3) =
+ let scale = 1.0f / a.Length
+ let norm = Vector3(a.X * scale, a.Y * scale, a.Z * scale)
+ let vRes = Vector3.Normalize(ref a)
+
+ Assert.ApproximatelyEqual(norm, vRes)
+
+ [<Property>]
+ let ``Normalization works`` (a : Vector3) =
+ let scale = 1.0f / a.Length
+ let norm = Vector3(a.X * scale, a.Y * scale, a.Z * scale)
+
+ Assert.ApproximatelyEqual(norm, Vector3.Normalize(a));
+
+ [<Property>]
+ let ``Fast approximate normalization by reference works`` (a : Vector3) =
+ let scale = MathHelper.InverseSqrtFast(a.X * a.X + a.Y * a.Y)
+
+ let norm = Vector3(a.X * scale, a.Y * scale, a.Z * scale)
+ let vRes = Vector3.NormalizeFast(ref a)
+
+ Assert.ApproximatelyEqual(norm, vRes)
+
+ [<Property>]
+ let ``Fast approximate normalization works`` (a : Vector3) =
+ let scale = MathHelper.InverseSqrtFast(a.X * a.X + a.Y * a.Y)
+
+ let norm = Vector3(a.X * scale, a.Y * scale, a.Z * scale)
+
+ Assert.ApproximatelyEqual(norm, Vector3.NormalizeFast(a));
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Addition =
+ //
+ [<Property>]
+ let ``Vector3 addition is the same as component addition`` (a : Vector3, b : Vector3) =
+ let c = a + b
+
+ Assert.ApproximatelyEqual(a.X + b.X,c.X)
+ Assert.ApproximatelyEqual(a.Y + b.Y,c.Y)
+
+ [<Property>]
+ let ``Vector3 addition is commutative`` (a : Vector3, b : Vector3) =
+ let c = a + b
+ let c2 = b + a
+
+ Assert.ApproximatelyEqual(c, c2)
+
+ [<Property>]
+ let ``Vector3 addition is associative`` (a : Vector3, b : Vector3, c : Vector3) =
+ let r1 = (a + b) + c
+ let r2 = a + (b + c)
+
+ Assert.ApproximatelyEqual(r1, r2)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Subtraction =
+ //
+ [<Property>]
+ let ``Vector3 subtraction is the same as component subtraction`` (a : Vector3, b : Vector3) =
+ let c = a - b
+
+ Assert.Equal(a.X - b.X,c.X)
+ Assert.Equal(a.Y - b.Y,c.Y)
+ Assert.Equal(a.Z - b.Z,c.Z)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Multiplication =
+ //
+ [<Property>]
+ let ``Vector3 multiplication is the same as component multiplication`` (a : Vector3, b : Vector3) =
+ let c = a * b
+
+ Assert.Equal(a.X * b.X,c.X)
+ Assert.Equal(a.Y * b.Y,c.Y)
+ Assert.Equal(a.Z * b.Z,c.Z)
+
+ [<Property>]
+ let ``Vector3 multiplication is commutative`` (a : Vector3, b : Vector3) =
+ let r1 = a * b
+ let r2 = b * a
+
+ Assert.Equal(r1, r2)
+
+ [<Property>]
+ let ``Vector3-float multiplication is the same as component-float multiplication`` (a : Vector3, f : float32) =
+ let r = a * f
+
+ Assert.Equal(a.X * f,r.X)
+ Assert.Equal(a.Y * f,r.Y)
+ Assert.Equal(a.Z * f,r.Z)
+
+ // Inverse direction
+ let r = f * a
+ Assert.Equal(a.X * f,r.X)
+ Assert.Equal(a.Y * f,r.Y)
+ Assert.Equal(a.Z * f,r.Z)
+
+ [<Property>]
+ let ``Vector3-Matrix3 multiplication works`` (a : Matrix3, b : Vector3) =
+ let res = a*b
+
+ let c1 = b.X * a.M11 + b.Y * a.M12 + b.Z * a.M13
+ let c2 = b.X * a.M21 + b.Y * a.M22 + b.Z * a.M23
+ let c3 = b.X * a.M31 + b.Y * a.M32 + b.Z * a.M33
+
+ let exp = Vector3(c1, c2, c3)
+
+ Assert.Equal(exp, res)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Division =
+ //
+ [<Property>]
+ let ``Vector3-float division is the same as component-float division`` (a : Vector3, f : float32) =
+ if not (approxEq f 0.0f) then // we don't support diving by zero.
+ let r = a / f
+
+ Assert.ApproximatelyEqual(a.X / f,r.X)
+ Assert.ApproximatelyEqual(a.Y / f,r.Y)
+ Assert.ApproximatelyEqual(a.Z / f,r.Z)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Negation =
+ //
+ [<Property>]
+ let ``Vector negation operator works`` (x, y, z) =
+ let v = Vector3(x, y, z)
+ let vNeg = -v
+ Assert.Equal(-x, vNeg.X)
+ Assert.Equal(-y, vNeg.Y)
+ Assert.Equal(-z, vNeg.Z)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Equality =
+ //
+ [<Property>]
+ let ``Vector equality operator works`` (x, y, z) =
+ let v1 = Vector3(x, y, z)
+ let v2 = Vector3(x, y, z)
+ let equality = v1 = v2
+
+ Assert.True(equality)
+
+ [<Property>]
+ let ``Vector inequality operator works`` (x, y, z) =
+ let v1 = Vector3(x, y, z)
+ let v2 = Vector3(x + (float32)1 , y + (float32)1, z + (float32)1)
+ let inequality = v1 <> v2
+
+ Assert.True(inequality)
+
+ [<Property>]
+ let ``Vector equality method works`` (x, y, z) =
+ let v1 = Vector3(x, y, z)
+ let v2 = Vector3(x, y, z)
+ let notVector = Matrix2()
+
+ let equality = v1.Equals(v2)
+ let inequalityByOtherType = v1.Equals(notVector)
+
+ Assert.True(equality)
+ Assert.False(inequalityByOtherType)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Swizzling =
+ //
+ [<Property>]
+ let ``Vector swizzling works`` (x, y, z) =
+ let v = Vector3(x, y, z)
+
+ let xyz = Vector3(x, y, z)
+ let xzy = Vector3(x, z, y)
+ let xy = Vector2(x, y)
+ let xz = Vector2(x, z)
+
+ let yxz = Vector3(y, x, z)
+ let yzx = Vector3(y, z, x)
+ let yx = Vector2(y, x)
+ let yz = Vector2(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(xyz, v);
+ Assert.Equal(xzy, v.Xzy);
+ Assert.Equal(xy, v.Xy);
+ Assert.Equal(xz, v.Xz);
+
+ Assert.Equal(yxz, v.Yxz);
+ Assert.Equal(yzx, v.Yzx);
+ Assert.Equal(yx, v.Yx);
+ Assert.Equal(yz, v.Yz);
+
+ 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 works`` (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 works`` (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 works`` (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 works`` (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 ``Component min and max`` =
+ //
+ [<Property>]
+ let ``Producing a new vector from the smallest components of given vectors works`` (x, y, z, u, w, q) =
+ let v1 = Vector3(x, y, z)
+ let v2 = Vector3(u, w, q)
+
+ let vMin = Vector3.ComponentMin(v1, 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)
+
+ Assert.True(vMin.Z <= v1.Z)
+ Assert.True(vMin.Z <= v2.Z)
+
+ [<Property>]
+ let ``Producing a new vector from the largest components of given vectors works`` (x, y, z, u, w, q) =
+ let v1 = Vector3(x, y, z)
+ let v2 = Vector3(u, w, q)
+
+ let vMax = Vector3.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)
+
+ Assert.True(vMax.Z >= v1.Z)
+ Assert.True(vMax.Z >= v2.Z)
+
+ [<Property>]
+ let ``Producing a new vector from the smallest components of given vectors by reference works`` (x, y, z, u, w, q) =
+ let v1 = Vector3(x, y, z)
+ let v2 = Vector3(u, w, q)
+
+ let vMin = Vector3.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)
+
+ Assert.True(vMin.Z <= v1.Z)
+ Assert.True(vMin.Z <= v2.Z)
+
+ [<Property>]
+ let ``Producing a new vector from the largest components of given vectors by reference works`` (x, y, z, u, w, q) =
+ let v1 = Vector3(x, y, z)
+ let v2 = Vector3(u, w, q)
+
+ let vMax = Vector3.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)
+
+ Assert.True(vMax.Z >= v1.Z)
+ Assert.True(vMax.Z >= v2.Z)
+
+ [<Property>]
+ let ``Selecting the lesser of two vectors works`` (x, y, z, u, w, q) =
+ let v1 = Vector3(x, y, z)
+ let v2 = Vector3(u, w, q)
+
+ let l1 = v1.LengthSquared
+ let l2 = v2.LengthSquared
+
+ let vMin = Vector3.Min(v1, v2)
+
+ if l1 < l2 then
+ let equalsFirst = vMin = v1
+ Assert.True(equalsFirst)
+ else
+ let equalsLast = vMin = v2
+ Assert.True(equalsLast)
+
+ [<Property>]
+ let ``Selecting the greater of two vectors works`` (x, y, z, u, w, q) =
+ let v1 = Vector3(x, y, z)
+ let v2 = Vector3(u, w, q)
+
+ let l1 = v1.LengthSquared
+ let l2 = v2.LengthSquared
+
+ let vMin = Vector3.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 Clamping =
+ //
+ [<Property>]
+ let ``Clamping one vector between two other vectors works`` (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 works by reference`` (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)
\ No newline at end of file
projects / platform / core / csapi / opentk.git / commitdiff