--- /dev/null
+namespace OpenTK.Tests
+
+open Xunit
+open FsCheck
+open FsCheck.Xunit
+open System
+open System.Runtime.InteropServices
+open OpenTK
+
+module Vector4 =
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Constructors =
+ //
+ [<Property>]
+ let ``Triple value constructor sets all components to the correct values`` (x, y, z, w) =
+ let v = Vector4(x, y, z, w)
+
+ Assert.Equal(x, v.X)
+ Assert.Equal(y, v.Y)
+ Assert.Equal(z, v.Z)
+ Assert.Equal(w, v.W)
+
+ [<Property>]
+ let ``Single value constructor sets all components to the correct values`` (a : float32) =
+ let v = Vector4(a)
+
+ Assert.Equal(a, v.X)
+ Assert.Equal(a, v.Y)
+ Assert.Equal(a, v.Z)
+ Assert.Equal(a, v.W)
+
+ [<Property>]
+ let ``Vector2 value constructor sets all components to the correct values`` (x, y) =
+ let v1 = Vector2(x, y)
+ let v2 = Vector4(v1)
+
+ Assert.Equal(v1.X, v2.X)
+ Assert.Equal(v1.Y, v2.Y)
+
+ Assert.Equal(x, v2.X)
+ Assert.Equal(y, v2.Y)
+ Assert.Equal((float32)0, v2.Z)
+ Assert.Equal((float32)0, v2.W)
+
+ [<Property>]
+ let ``Vector3 value constructor sets all components to the correct values`` (x, y, z) =
+ let v1 = Vector3(x, y, z)
+ let v2 = Vector4(v1)
+
+ Assert.Equal(v1.X, v2.X)
+ Assert.Equal(v1.Y, v2.Y)
+ Assert.Equal(v1.Z, v2.Z)
+
+ Assert.Equal(x, v2.X)
+ Assert.Equal(y, v2.Y)
+ Assert.Equal(z, v2.Z)
+ Assert.Equal((float32)0, v2.W)
+
+ [<Property>]
+ let ``Vector4 value constructor sets all components to the correct values`` (x, y, z, w) =
+ let v1 = Vector4(x, y, z, w)
+ let v2 = Vector4(v1)
+
+ Assert.Equal(v1.X, v2.X)
+ Assert.Equal(v1.Y, v2.Y)
+ Assert.Equal(v1.Z, v2.Z)
+ Assert.Equal(v1.W, v2.W)
+
+ Assert.Equal(x, v2.X)
+ Assert.Equal(y, v2.Y)
+ Assert.Equal(z, v2.Z)
+ Assert.Equal(w, v2.W)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Indexing =
+ //
+ [<Property>]
+ let ``Index operator accesses the correct components`` (x, y, z, w) =
+ let v = Vector4(x, y, z, w)
+
+ Assert.Equal(x, v.[0])
+ Assert.Equal(y, v.[1])
+ Assert.Equal(z, v.[2])
+ Assert.Equal(w, v.[3])
+
+ [<Property>]
+ let ``Index operator throws exception for negative indices`` (x, y, z, w) =
+ let mutable v = Vector4(x, y, z, w)
+
+ let invalidIndexingAccess = fun() -> v.[-1] |> ignore
+ let invalidIndexingAssignment = fun() -> v.[-1] <- x
+
+ Assert.Throws<IndexOutOfRangeException>(invalidIndexingAccess) |> ignore
+ Assert.Throws<IndexOutOfRangeException>(invalidIndexingAssignment) |> ignore
+
+ [<Property>]
+ let ``Index operator throws exception for large indices`` (x, y, z, w) =
+ let mutable v = Vector4(x, y, z, w)
+
+ let invalidIndexingAccess = fun() -> v.[4] |> ignore
+ let invalidIndexingAssignment = fun() -> v.[4] <- x
+
+ Assert.Throws<IndexOutOfRangeException>(invalidIndexingAccess) |> ignore
+ Assert.Throws<IndexOutOfRangeException>(invalidIndexingAssignment) |> ignore
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Length =
+ //
+ [<Property>]
+ let ``Length method works`` (x, y, z, w) =
+ let v = Vector4(x, y, z, w)
+ let l = System.Math.Sqrt((float)(x * x + y * y + z * z + w * w))
+
+ Assert.Equal((float32)l, v.Length)
+
+ [<Property>]
+ let ``Fast length method works`` (x, y, z, w) =
+ let v = Vector4(x, y, z, w)
+ let l = 1.0f / MathHelper.InverseSqrtFast(x * x + y * y + z * z + w * w)
+
+ Assert.Equal(l, v.LengthFast)
+
+ [<Property>]
+ let ``Length squared method works`` (x, y, z, w) =
+ let v = Vector4(x, y, z, w)
+ let lsq = x * x + y * y + z * z + w * w
+
+ Assert.Equal(lsq, v.LengthSquared)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Normalization =
+ //
+ [<Property>]
+ let ``Normalization of instance, creating a new vector, works`` (x, y, z, w) =
+ let v = Vector4(x, y, z, w)
+ let l = v.Length
+
+ // Dividing by zero is not supported
+ if not (approxEq l 0.0f) then
+ 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)
+ Assert.ApproximatelyEqual(v.W / l, norm.W)
+
+ [<Property>]
+ let ``Normalization of instance works`` (x, y, z, w) =
+ let v = Vector4(x, y, z, w)
+ let l = v.Length
+
+ if not (approxEq l 0.0f) then
+ let norm = Vector4(x, y, z, w)
+ norm.Normalize()
+
+ Assert.ApproximatelyEqual(v.X / l, norm.X)
+ Assert.ApproximatelyEqual(v.Y / l, norm.Y)
+ Assert.ApproximatelyEqual(v.Z / l, norm.Z)
+ Assert.ApproximatelyEqual(v.W / l, norm.W)
+
+ [<Property>]
+ let ``Fast approximate normalization of instance works`` (x, y, z, w) =
+ let v = Vector4(x, y, z, w)
+ let norm = Vector4(x, y, z, w)
+ norm.NormalizeFast()
+
+ let scale = MathHelper.InverseSqrtFast(x * x + y * y + z * z + w * w)
+
+ Assert.ApproximatelyEqual(v.X * scale, norm.X)
+ Assert.ApproximatelyEqual(v.Y * scale, norm.Y)
+ Assert.ApproximatelyEqual(v.Z * scale, norm.Z)
+ Assert.ApproximatelyEqual(v.W * scale, norm.W)
+
+ [<Property>] // TODO: Eliminate coefficient calculation, rounding error
+ let ``Normalization by reference works`` (a : Vector4) =
+ if not (approxEq a.Length 0.0f) then
+ let scale = 1.0f / a.Length
+ let norm = Vector4(a.X * scale, a.Y * scale, a.Z * scale, a.W * scale)
+ let vRes = Vector4.Normalize(ref a)
+
+ Assert.ApproximatelyEqual(norm, vRes)
+
+ [<Property>] // TODO: Eliminate coefficient calculation, rounding error
+ let ``Normalization works`` (a : Vector4) =
+ if not (approxEq a.Length 0.0f) then
+ let scale = 1.0f / a.Length
+ let norm = Vector4(a.X * scale, a.Y * scale, a.Z * scale, a.W * scale)
+
+ Assert.ApproximatelyEqual(norm, Vector4.Normalize(a));
+
+ [<Property>]
+ let ``Fast approximate normalization by reference works`` (a : Vector4) =
+ let scale = MathHelper.InverseSqrtFast(a.X * a.X + a.Y * a.Y + a.Z * a.Z + a.W * a.W)
+
+ let norm = Vector4(a.X * scale, a.Y * scale, a.Z * scale, a.W * scale)
+ let vRes = Vector4.NormalizeFast(ref a)
+
+ Assert.ApproximatelyEqual(norm, vRes)
+
+ [<Property>]
+ let ``Fast approximate normalization works`` (a : Vector4) =
+ let scale = MathHelper.InverseSqrtFast(a.X * a.X + a.Y * a.Y + a.Z * a.Z + a.W * a.W)
+
+ let norm = Vector4(a.X * scale, a.Y * scale, a.Z * scale, a.W * scale)
+
+ Assert.ApproximatelyEqual(norm, Vector4.NormalizeFast(a));
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Addition =
+ //
+ [<Property>]
+ let ``Vector4 addition is the same as component addition`` (a : Vector4, b : Vector4) =
+ let c = a + b
+
+ Assert.ApproximatelyEqual(a.X + b.X,c.X)
+ Assert.ApproximatelyEqual(a.Y + b.Y,c.Y)
+ Assert.ApproximatelyEqual(a.Z + b.Z,c.Z)
+ Assert.ApproximatelyEqual(a.W + b.W,c.W)
+
+ [<Property>]
+ let ``Vector4 addition is commutative`` (a : Vector4, b : Vector4) =
+ let c = a + b
+ let c2 = b + a
+
+ Assert.ApproximatelyEqual(c, c2)
+
+ [<Property>]
+ let ``Vector4 addition is associative`` (a : Vector4, b : Vector4, c : Vector4) =
+ let r1 = (a + b) + c
+ let r2 = a + (b + c)
+
+ Assert.ApproximatelyEqual(r1, r2)
+
+ [<Property>]
+ let ``Static Vector4 addition method is the same as component addition`` (a : Vector4, b : Vector4) =
+
+ let v1 = Vector4(a.X + b.X, a.Y + b.Y, a.Z + b.Z, a.W + b.W)
+ let sum = Vector4.Add(a, b)
+
+ Assert.ApproximatelyEqual(v1, sum)
+
+ [<Property>]
+ let ``Static Vector4 addition method by reference is the same as component addition`` (a : Vector4, b : Vector4) =
+
+ let v1 = Vector4(a.X + b.X, a.Y + b.Y, a.Z + b.Z, a.W + b.W)
+ let sum = Vector4.Add(ref a, ref b)
+
+ Assert.ApproximatelyEqual(v1, sum)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Subtraction =
+ //
+ [<Property>]
+ let ``Vector4 subtraction is the same as component subtraction`` (a : Vector4, b : Vector4) =
+ 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)
+ Assert.Equal(a.W - b.W,c.W)
+
+ [<Property>]
+ let ``Static Vector4 subtraction method is the same as component addition`` (a : Vector4, b : Vector4) =
+
+ let v1 = Vector4(a.X - b.X, a.Y - b.Y, a.Z - b.Z, a.W - b.W)
+ let sum = Vector4.Subtract(a, b)
+
+ Assert.ApproximatelyEqual(v1, sum)
+
+ [<Property>]
+ let ``Static Vector4 subtraction method by reference is the same as component addition`` (a : Vector4, b : Vector4) =
+
+ let v1 = Vector4(a.X - b.X, a.Y - b.Y, a.Z - b.Z, a.W - b.W)
+ let sum = Vector4.Subtract(ref a, ref b)
+
+ Assert.ApproximatelyEqual(v1, sum)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Multiplication =
+ //
+ [<Property>]
+ let ``Vector4 multiplication is the same as component multiplication`` (a : Vector4, b : Vector4) =
+ 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)
+ Assert.Equal(a.W * b.W,c.W)
+
+
+ [<Property>]
+ let ``Vector4 multiplication is commutative`` (a : Vector4, b : Vector4) =
+ let r1 = a * b
+ let r2 = b * a
+
+ Assert.Equal(r1, r2)
+
+ [<Property>]
+ let ``Left-handed Vector4-scalar multiplication is the same as component-scalar multiplication`` (a : Vector4, 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)
+ Assert.Equal(a.W * f,r.W)
+
+ [<Property>]
+ let ``Right-handed Vector4-scalar multiplication is the same as component-scalar multiplication`` (a : Vector4, f : float32) =
+ 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)
+ Assert.Equal(a.W * f,r.W)
+
+ [<Property>]
+ let ``Static method Vector4-scalar multiplication is the same as component-scalar multiplication`` (a : Vector4, f : float32) =
+ let r = Vector4.Multiply(a, f)
+
+ Assert.Equal(a.X * f,r.X)
+ Assert.Equal(a.Y * f,r.Y)
+ Assert.Equal(a.Z * f,r.Z)
+ Assert.Equal(a.W * f,r.W)
+
+ [<Property>]
+ let ``Vector4-Matrix4 multiplication works for right-handed notation`` (a : Matrix4, b : Vector4) =
+ let res = a*b
+
+ let c1 = b.X * a.M11 + b.Y * a.M12 + b.Z * a.M13 + b.W * a.M14
+ let c2 = b.X * a.M21 + b.Y * a.M22 + b.Z * a.M23 + b.W * a.M24
+ let c3 = b.X * a.M31 + b.Y * a.M32 + b.Z * a.M33 + b.W * a.M34
+ let c4 = b.X * a.M41 + b.Y * a.M42 + b.Z * a.M43 + b.W * a.M44
+
+ let exp = Vector4(c1, c2, c3, c4)
+
+ Assert.Equal(exp, res)
+
+ [<Property>]
+ let ``Vector4-Matrix4 multiplication works for left-handed notation`` (a : Matrix4, b : Vector4) =
+ let res = b*a
+
+ let c1 = b.X * a.M11 + b.Y * a.M21 + b.Z * a.M31 + b.W * a.M41
+ let c2 = b.X * a.M12 + b.Y * a.M22 + b.Z * a.M32 + b.W * a.M42
+ let c3 = b.X * a.M13 + b.Y * a.M23 + b.Z * a.M33 + b.W * a.M43
+ let c4 = b.X * a.M14 + b.Y * a.M24 + b.Z * a.M34 + b.W * a.M44
+
+ let exp = Vector4(c1, c2, c3, c4)
+
+ Assert.Equal(exp, res)
+
+ [<Property>]
+ let ``Static Vector4 multiplication method is the same as component multiplication`` (a : Vector4, b : Vector4) =
+
+ let v1 = Vector4(a.X * b.X, a.Y * b.Y, a.Z * b.Z, a.W * b.W)
+ let sum = Vector4.Multiply(a, b)
+
+ Assert.ApproximatelyEqual(v1, sum)
+
+ [<Property>]
+ let ``Static Vector4 multiplication method by reference is the same as component multiplication`` (a : Vector4, b : Vector4) =
+
+ let v1 = Vector4(a.X * b.X, a.Y * b.Y, a.Z * b.Z, a.W * b.W)
+ let sum = Vector4.Multiply(ref a, ref b)
+
+ Assert.ApproximatelyEqual(v1, sum)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Division =
+ //
+ [<Property>]
+ let ``Vector4-float division is the same as component-float division`` (a : Vector4, 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)
+ Assert.ApproximatelyEqual(a.W / f, r.W)
+
+ [<Property>]
+ let ``Static Vector4-Vector4 division method works`` (a : Vector4, b : Vector4) =
+
+ let v1 = Vector4(a.X / b.X, a.Y / b.Y, a.Z / b.Z, a.W / b.W)
+ let sum = Vector4.Divide(a, b)
+
+ Assert.ApproximatelyEqual(v1, sum)
+
+ [<Property>]
+ let ``Static Vector4-Vector4 divison method works by reference`` (a : Vector4, b : Vector4) =
+
+ let v1 = Vector4(a.X / b.X, a.Y / b.Y, a.Z / b.Z, a.W / b.W)
+ let sum = Vector4.Divide(ref a, ref b)
+
+ Assert.ApproximatelyEqual(v1, sum)
+
+ [<Property>]
+ let ``Static Vector4-scalar division method works`` (a : Vector4, b : float32) =
+
+ let v1 = Vector4(a.X / b, a.Y / b, a.Z / b, a.W / b)
+ let sum = Vector4.Divide(a, b)
+
+ Assert.ApproximatelyEqual(v1, sum)
+
+ [<Property>]
+ let ``Static Vector4-scalar divison method works by reference`` (a : Vector4, b : float32) =
+
+ let v1 = Vector4(a.X / b, a.Y / b, a.Z / b, a.W / b)
+ let sum = Vector4.Divide(ref a, b)
+
+ Assert.ApproximatelyEqual(v1, sum)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Negation =
+ //
+ [<Property>]
+ let ``Vector negation operator works`` (x, y, z, w) =
+ let v = Vector4(x, y, z, w)
+ let vNeg = -v
+ Assert.Equal(-x, vNeg.X)
+ Assert.Equal(-y, vNeg.Y)
+ Assert.Equal(-z, vNeg.Z)
+ Assert.Equal(-w, vNeg.W)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Equality =
+ //
+ [<Property>]
+ let ``Vector equality operator works`` (x, y, z, w) =
+ let v1 = Vector4(x, y, z, w)
+ let v2 = Vector4(x, y, z, w)
+ let equality = v1 = v2
+
+ Assert.True(equality)
+
+ [<Property>]
+ let ``Vector inequality operator works`` (x, y, z, w) =
+ let v1 = Vector4(x, y, z, w)
+ let v2 = Vector4(x + (float32)1 , y + (float32)1, z + (float32)1, w + (float32)1)
+ let inequality = v1 <> v2
+
+ Assert.True(inequality)
+
+ [<Property>]
+ let ``Vector equality method works`` (x, y, z, w) =
+ let v1 = Vector4(x, y, z, w)
+ let v2 = Vector4(x, y, z, w)
+ 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 for X-primary components`` (x, y, z, w) =
+
+ let v = Vector4(x, y, z, w)
+
+ let xyzw = v
+ let xywz = Vector4(x, y, w, z)
+ let xzyw = Vector4(x, z, y, w)
+ let xzwy = Vector4(x, z, w, y)
+ let xwyz = Vector4(x, w, y, z)
+ let xwzy = Vector4(x, w, z, y)
+
+ let xyz = Vector3(x, y, z)
+ let xyw = Vector3(x, y, w)
+ let xzy = Vector3(x, z, y)
+ let xzw = Vector3(x, z, w)
+ let xwy = Vector3(x, w, y)
+ let xwz = Vector3(x, w, z)
+
+ let xy = Vector2(x, y)
+ let xz = Vector2(x, z)
+ let xw = Vector2(x, w)
+
+ // X primary
+ Assert.Equal(xyzw, v)
+ Assert.Equal(xywz, v.Xywz)
+ Assert.Equal(xzyw, v.Xzyw)
+ Assert.Equal(xzwy, v.Xzwy)
+ Assert.Equal(xwyz, v.Xwyz)
+ Assert.Equal(xwzy, v.Xwzy)
+
+ Assert.Equal(xyz, v.Xyz)
+ Assert.Equal(xyw, v.Xyw)
+ Assert.Equal(xzy, v.Xzy)
+ Assert.Equal(xzw, v.Xzw)
+ Assert.Equal(xwy, v.Xwy)
+ Assert.Equal(xwz, v.Xwz)
+
+ Assert.Equal(xy, v.Xy)
+ Assert.Equal(xz, v.Xz)
+ Assert.Equal(xw, v.Xw)
+
+ [<Property>]
+ let ``Vector swizzling works for Y-primary components`` (x, y, z, w) =
+
+ let v = Vector4(x, y, z, w)
+
+ let yxzw = Vector4(y, x, z, w)
+ let yxwz = Vector4(y, x, w, z)
+ let yyzw = Vector4(y, y, z, w)
+ let yywz = Vector4(y, y, w, z)
+ let yzxw = Vector4(y, z, x, w)
+ let yzwx = Vector4(y, z, w, x)
+ let ywxz = Vector4(y, w, x, z)
+ let ywzx = Vector4(y, w, z, x)
+
+ let yxz = Vector3(y, x, z)
+ let yxw = Vector3(y, x, w)
+ let yzx = Vector3(y, z, x)
+ let yzw = Vector3(y, z, w)
+ let ywx = Vector3(y, w, x)
+ let ywz = Vector3(y, w, z)
+
+ let yx = Vector2(y, x)
+ let yz = Vector2(y, z)
+ let yw = Vector2(y, w)
+
+ // Y primary
+ Assert.Equal(yxzw, v.Yxzw)
+ Assert.Equal(yxwz, v.Yxwz)
+ Assert.Equal(yyzw, v.Yyzw)
+ Assert.Equal(yywz, v.Yywz)
+ Assert.Equal(yzxw, v.Yzxw)
+ Assert.Equal(yzwx, v.Yzwx)
+ Assert.Equal(ywxz, v.Ywxz)
+ Assert.Equal(ywzx, v.Ywzx)
+
+ Assert.Equal(yxz, v.Yxz)
+ Assert.Equal(yxw, v.Yxw)
+ Assert.Equal(yzx, v.Yzx)
+ Assert.Equal(yzw, v.Yzw)
+ Assert.Equal(ywx, v.Ywx)
+ Assert.Equal(ywz, v.Ywz)
+
+ Assert.Equal(yx, v.Yx)
+ Assert.Equal(yz, v.Yz)
+ Assert.Equal(yw, v.Yw)
+
+ [<Property>]
+ let ``Vector swizzling works for Z-primary components`` (x, y, z, w) =
+
+ let v = Vector4(x, y, z, w)
+
+ let zxyw = Vector4(z, x, y, w)
+ let zxwy = Vector4(z, x, w, y)
+ let zyxw = Vector4(z, y, x, w)
+ let zywx = Vector4(z, y, w, x)
+ let zwxy = Vector4(z, w, x, y)
+ let zwyx = Vector4(z, w, y, x)
+ let zwzy = Vector4(z, w, z, y)
+
+ let zxy = Vector3(z, x, y)
+ let zxw = Vector3(z, x, w)
+ let zyx = Vector3(z, y, x)
+ let zyw = Vector3(z, y, w)
+ let zwx = Vector3(z, w, x)
+ let zwy = Vector3(z, w, y)
+
+ let zx = Vector2(z, x)
+ let zy = Vector2(z, y)
+ let zw = Vector2(z, w)
+
+ // Z primary
+ Assert.Equal(zxyw, v.Zxyw)
+ Assert.Equal(zxwy, v.Zxwy)
+ Assert.Equal(zyxw, v.Zyxw)
+ Assert.Equal(zywx, v.Zywx)
+ Assert.Equal(zwxy, v.Zwxy)
+ Assert.Equal(zwyx, v.Zwyx)
+ Assert.Equal(zwzy, v.Zwzy)
+
+ Assert.Equal(zxy, v.Zxy)
+ Assert.Equal(zxw, v.Zxw)
+ Assert.Equal(zyx, v.Zyx)
+ Assert.Equal(zyw, v.Zyw)
+ Assert.Equal(zwx, v.Zwx)
+ Assert.Equal(zwy, v.Zwy)
+
+ Assert.Equal(zx, v.Zx)
+ Assert.Equal(zy, v.Zy)
+ Assert.Equal(zw, v.Zw)
+
+ [<Property>]
+ let ``Vector swizzling works for W-primary components`` (x, y, z, w) =
+
+ let v = Vector4(x, y, z, w)
+
+ let wxyz = Vector4(w, x, y, z)
+ let wxzy = Vector4(w, x, z, y)
+ let wyxz = Vector4(w, y, x, z)
+ let wyzx = Vector4(w, y, z, x)
+ let wzxy = Vector4(w, z, x, y)
+ let wzyx = Vector4(w, z, y, x)
+ let wzyw = Vector4(w, z, y, w)
+
+ let wxy = Vector3(w, x, y)
+ let wxz = Vector3(w, x, z)
+ let wyx = Vector3(w, y, x)
+ let wyz = Vector3(w, y, z)
+ let wzx = Vector3(w, z, x)
+ let wzy = Vector3(w, z, y)
+
+ let wx = Vector2(w, x)
+ let wy = Vector2(w, y)
+ let wz = Vector2(w, z)
+
+ // W primary
+ Assert.Equal(wxyz, v.Wxyz)
+ Assert.Equal(wxzy, v.Wxzy)
+ Assert.Equal(wyxz, v.Wyxz)
+ Assert.Equal(wyzx, v.Wyzx)
+ Assert.Equal(wzxy, v.Wzxy)
+ Assert.Equal(wzyx, v.Wzyx)
+ Assert.Equal(wzyw, v.Wzyw)
+
+ Assert.Equal(wxy, v.Wxy)
+ Assert.Equal(wxz, v.Wxz)
+ Assert.Equal(wyx, v.Wyx)
+ Assert.Equal(wyz, v.Wyz)
+ Assert.Equal(wzx, v.Wzx)
+ Assert.Equal(wzy, v.Wzy)
+
+ Assert.Equal(wx, v.Wx)
+ Assert.Equal(wy, v.Wy)
+ Assert.Equal(wz, v.Wz)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Interpolation =
+ //
+ [<Property>]
+ let ``Linear interpolation works`` (a : Vector4, b : Vector4, 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 rW = blend * (b.W - a.W) + a.W
+ let vExp = Vector4(rX, rY, rZ, rW)
+
+ Assert.Equal(vExp, Vector4.Lerp(a, b, q))
+
+ let vRes = Vector4.Lerp(ref a, ref b, q)
+ Assert.Equal(vExp, vRes)
+
+ [<Property>]
+ let ``Barycentric interpolation works`` (a : Vector4, b : Vector4, c : Vector4, u, v) =
+
+ let r = a + u * (b - a) + v * (c - a)
+
+ Assert.Equal(r, Vector4.BaryCentric(a, b, c, u, v))
+
+ let vRes = Vector4.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 : Vector4, b : Vector4) =
+ let dot = a.X * b.X + a.Y * b.Y + a.Z * b.Z + a.W * b.W
+
+ Assert.Equal(dot, Vector4.Dot(a, b));
+
+ let vRes = Vector4.Dot(ref a, ref b)
+ Assert.Equal(dot, vRes)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module ``Component min and max`` =
+ //
+ [<Property>]
+ let ``Selecting the lesser of two vectors works`` (x, y, z, w, a, b, c, d) =
+ let v1 = Vector4(x, y, z, w)
+ let v2 = Vector4(a, b, c, d)
+
+ let l1 = v1.LengthSquared
+ let l2 = v2.LengthSquared
+
+ let vMin = Vector4.Min(v1, v2)
+
+ if vMin = v1 then
+ let v1ShorterThanv2 = l1 < l2
+ Assert.True(v1ShorterThanv2)
+ else
+ let v2ShorterThanv1 = l2 < l1
+ Assert.True(v2ShorterThanv1)
+
+ [<Property>]
+ let ``Selecting the greater of two vectors works`` (x, y, z, w, a, b, c, d) =
+ let v1 = Vector4(x, y, z, w)
+ let v2 = Vector4(a, b, c, d)
+
+ let l1 = v1.LengthSquared
+ let l2 = v2.LengthSquared
+
+ let vMin = Vector4.Max(v1, 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 Clamping =
+ //
+ [<Property>]
+ let ``Clamping one vector between two other vectors works`` (a : Vector4, b : Vector4, w : Vector4) =
+ let res = Vector4.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
+ let expW = if w.W < a.W then a.W else if w.W > b.W then b.W else w.W
+
+ Assert.Equal(expX, res.X)
+ Assert.Equal(expY, res.Y)
+ Assert.Equal(expZ, res.Z)
+ Assert.Equal(expW, res.W)
+
+ [<Property>]
+ let ``Clamping one vector between two other vectors works by reference`` (a : Vector4, b : Vector4, w : Vector4) =
+ let res = Vector4.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
+ let expW = if w.W < a.W then a.W else if w.W > b.W then b.W else w.W
+
+ Assert.Equal(expX, res.X)
+ Assert.Equal(expY, res.Y)
+ Assert.Equal(expZ, res.Z)
+ Assert.Equal(expW, res.W)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module ``Unit vectors``=
+ //
+ [<Property>]
+ let ``Unit X is correct`` =
+ let unitX = Vector4((float32)1, (float32)0, (float32)0, (float32)0)
+
+ Assert.Equal(Vector4.UnitX, unitX)
+
+ [<Property>]
+ let ``Unit Y is correct`` =
+ let unitY = Vector4((float32)0, (float32)1, (float32)0, (float32)0)
+
+ Assert.Equal(Vector4.UnitY, unitY)
+
+ [<Property>]
+ let ``Unit Z is correct`` =
+ let unitZ = Vector4((float32)0, (float32)0, (float32)1, (float32)0)
+
+ Assert.Equal(Vector4.UnitZ, unitZ)
+
+ [<Property>]
+ let ``Unit W is correct`` =
+ let unitW = Vector4((float32)0, (float32)0, (float32)0, (float32)1)
+
+ Assert.Equal(Vector4.UnitW, unitW)
+
+ [<Property>]
+ let ``Unit zero is correct`` =
+ let unitZero = Vector4((float32)0, (float32)0, (float32)0, (float32)0)
+
+ Assert.Equal(Vector4.Zero, unitZero)
+
+ [<Property>]
+ let ``Unit one is correct`` =
+ let unitOne = Vector4((float32)1, (float32)1, (float32)1, (float32)1)
+
+ Assert.Equal(Vector4.One, unitOne)
+
+ [<Properties(Arbitrary = [| typeof<OpenTKGen> |])>]
+ module Serialization =
+ //
+ [<Property>]
+ let ``The absolute size of a Vector4 is always the size of its components`` (v : Vector4) =
+ let expectedSize = sizeof<float32> * 4
+
+ Assert.Equal(expectedSize, Vector4.SizeInBytes)
+ Assert.Equal(expectedSize, Marshal.SizeOf(Vector4()))
\ No newline at end of file
projects / platform / core / csapi / opentk.git / commitdiff