// // Tests for System.Drawing.Drawing2D.Matrix.cs // // Authors: // Jordi Mas i Hernandez // Sebastien Pouliot // // Copyright (C) 2005-2006 Novell, Inc (http://www.novell.com) // // Permission is hereby granted, free of charge, to any person obtaining // a copy of this software and associated documentation files (the // "Software"), to deal in the Software without restriction, including // without limitation the rights to use, copy, modify, merge, publish, // distribute, sublicense, and/or sell copies of the Software, and to // permit persons to whom the Software is furnished to do so, subject to // the following conditions: // // The above copyright notice and this permission notice shall be // included in all copies or substantial portions of the Software. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, // EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF // MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND // NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE // LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION // OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION // WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. // using NUnit.Framework; using System; using System.Drawing; using System.Drawing.Drawing2D; using System.Security.Permissions; namespace MonoTests.System.Drawing.Drawing2D { [TestFixture] [SecurityPermission (SecurityAction.Deny, UnmanagedCode = true)] public class MatrixTest : Assertion { private Matrix default_matrix; private Rectangle rect; private RectangleF rectf; [TestFixtureSetUp] public void FixtureSetUp () { default_matrix = new Matrix (); } [Test] public void Constructor_Default () { Matrix matrix = new Matrix (); AssertEquals ("C#1", 6, matrix.Elements.Length); } [Test] public void Constructor_SixFloats () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); AssertEquals ("C#2", 6, matrix.Elements.Length); AssertEquals ("C#3", 10, matrix.Elements[0]); AssertEquals ("C#4", 20, matrix.Elements[1]); AssertEquals ("C#5", 30, matrix.Elements[2]); AssertEquals ("C#6", 40, matrix.Elements[3]); AssertEquals ("C#7", 50, matrix.Elements[4]); AssertEquals ("C#8", 60, matrix.Elements[5]); } [Test] public void Constructor_Float () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); AssertEquals ("C#2", 6, matrix.Elements.Length); AssertEquals ("C#3", 10, matrix.Elements[0]); AssertEquals ("C#4", 20, matrix.Elements[1]); AssertEquals ("C#5", 30, matrix.Elements[2]); AssertEquals ("C#6", 40, matrix.Elements[3]); AssertEquals ("C#7", 50, matrix.Elements[4]); AssertEquals ("C#8", 60, matrix.Elements[5]); } [Test] [ExpectedException (typeof (ArgumentNullException))] public void Constructor_Int_Null () { new Matrix (rect, null); } [Test] [ExpectedException (typeof (ArgumentException))] public void Constructor_Int_Empty () { new Matrix (rect, new Point[0]); } [Test] [ExpectedException (typeof (ArgumentException))] public void Constructor_Int_4Point () { new Matrix (rect, new Point[4]); } [Test] public void Constructor_Rect_Point () { Rectangle r = new Rectangle (100, 200, 300, 400); Matrix m = new Matrix (r, new Point[3] { new Point (10, 20), new Point (30, 40), new Point (50, 60) }); float[] elements = m.Elements; AssertEquals ("0", 0.06666666, elements[0], 0.00001); AssertEquals ("1", 0.06666666, elements[1], 0.00001); AssertEquals ("2", 0.09999999, elements[2], 0.00001); AssertEquals ("3", 0.09999999, elements[3], 0.00001); AssertEquals ("4", -16.6666679, elements[4], 0.00001); AssertEquals ("5", -6.666667, elements[5], 0.00001); } [Test] [ExpectedException (typeof (ArgumentNullException))] public void Constructor_Float_Null () { new Matrix (rectf, null); } [Test] [ExpectedException (typeof (ArgumentException))] public void Constructor_Float_Empty () { new Matrix (rectf, new PointF[0]); } [Test] [ExpectedException (typeof (ArgumentException))] public void Constructor_Float_2PointF () { new Matrix (rectf, new PointF[2]); } [Test] public void Constructor_RectF_PointF () { RectangleF r = new RectangleF (100, 200, 300, 400); Matrix m = new Matrix (r, new PointF[3] { new PointF (10, 20), new PointF (30, 40), new PointF (50, 60) }); float[] elements = m.Elements; AssertEquals ("0", 0.06666666, elements[0], 0.00001); AssertEquals ("1", 0.06666666, elements[1], 0.00001); AssertEquals ("2", 0.09999999, elements[2], 0.00001); AssertEquals ("3", 0.09999999, elements[3], 0.00001); AssertEquals ("4", -16.6666679, elements[4], 0.00001); AssertEquals ("5", -6.666667, elements[5], 0.00001); } // Properties [Test] public void Invertible () { Matrix matrix = new Matrix (123, 24, 82, 16, 47, 30); AssertEquals ("I#1", false, matrix.IsInvertible); matrix = new Matrix (156, 46, 0, 0, 106, 19); AssertEquals ("I#2", false, matrix.IsInvertible); matrix = new Matrix (146, 66, 158, 104, 42, 150); AssertEquals ("I#3", true, matrix.IsInvertible); matrix = new Matrix (119, 140, 145, 74, 102, 58); AssertEquals ("I#4", true, matrix.IsInvertible); } [Test] public void IsIdentity () { Matrix identity = new Matrix (); Matrix matrix = new Matrix (123, 24, 82, 16, 47, 30); AssertEquals ("N#1-identity", false, matrix.IsIdentity); Assert ("N#1-equals", !identity.Equals (matrix)); matrix = new Matrix (1, 0, 0, 1, 0, 0); AssertEquals ("N#2-identity", true, matrix.IsIdentity); Assert ("N#2-equals", identity.Equals (matrix)); // so what's the required precision ? matrix = new Matrix (1.1f, 0.1f, -0.1f, 0.9f, 0, 0); Assert ("N#3-identity", !matrix.IsIdentity); Assert ("N#3-equals", !identity.Equals (matrix)); matrix = new Matrix (1.01f, 0.01f, -0.01f, 0.99f, 0, 0); Assert ("N#4-identity", !matrix.IsIdentity); Assert ("N#4-equals", !identity.Equals (matrix)); matrix = new Matrix (1.001f, 0.001f, -0.001f, 0.999f, 0, 0); Assert ("N#5-identity", !matrix.IsIdentity); Assert ("N#5-equals", !identity.Equals (matrix)); matrix = new Matrix (1.0001f, 0.0001f, -0.0001f, 0.9999f, 0, 0); Assert ("N#6-identity", matrix.IsIdentity); // note: NOT equal Assert ("N#6-equals", !identity.Equals (matrix)); matrix = new Matrix (1.0009f, 0.0009f, -0.0009f, 0.99995f, 0, 0); Assert ("N#7-identity", !matrix.IsIdentity); Assert ("N#7-equals", !identity.Equals (matrix)); } [Test] public void IsOffsetX () { Matrix matrix = new Matrix (123, 24, 82, 16, 47, 30); AssertEquals ("X#1", 47, matrix.OffsetX); } [Test] public void IsOffsetY () { Matrix matrix = new Matrix (123, 24, 82, 16, 47, 30); AssertEquals ("Y#1", 30, matrix.OffsetY); } // Elements Property is checked implicity in other test // // Methods // [Test] public void Clone () { Matrix matsrc = new Matrix (10, 20, 30, 40, 50, 60); Matrix matrix = matsrc.Clone (); AssertEquals ("D#1", 6, matrix.Elements.Length); AssertEquals ("D#2", 10, matrix.Elements[0]); AssertEquals ("D#3", 20, matrix.Elements[1]); AssertEquals ("D#4", 30, matrix.Elements[2]); AssertEquals ("D#5", 40, matrix.Elements[3]); AssertEquals ("D#6", 50, matrix.Elements[4]); AssertEquals ("D#7", 60, matrix.Elements[5]); } [Test] public void HashCode () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); Matrix clone = matrix.Clone (); Assert ("HashCode/Clone", matrix.GetHashCode () != clone.GetHashCode ()); Matrix matrix2 = new Matrix (10, 20, 30, 40, 50, 60); Assert ("HashCode/Identical", matrix.GetHashCode () != matrix2.GetHashCode ()); } [Test] public void Reset () { Matrix matrix = new Matrix (51, 52, 53, 54, 55, 56); matrix.Reset (); AssertEquals ("F#1", 6, matrix.Elements.Length); AssertEquals ("F#2", 1, matrix.Elements[0]); AssertEquals ("F#3", 0, matrix.Elements[1]); AssertEquals ("F#4", 0, matrix.Elements[2]); AssertEquals ("F#5", 1, matrix.Elements[3]); AssertEquals ("F#6", 0, matrix.Elements[4]); AssertEquals ("F#7", 0, matrix.Elements[5]); } [Test] public void Rotate () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); matrix.Rotate (180); AssertEquals ("H#1", -10, matrix.Elements[0]); AssertEquals ("H#2", -20, matrix.Elements[1]); AssertEquals ("H#3", -30, matrix.Elements[2]); AssertEquals ("H#4", -40, matrix.Elements[3]); AssertEquals ("H#5", 50, matrix.Elements[4]); AssertEquals ("H#6", 60, matrix.Elements[5]); } [Test] public void Rotate_45_135 () { Matrix matrix = new Matrix (); Assert ("original.IsIdentity", matrix.IsIdentity); matrix.Rotate (45); Assert ("+45.!IsIdentity", !matrix.IsIdentity); float[] elements = matrix.Elements; AssertEquals ("45#1", 0.7071068, elements[0]); AssertEquals ("45#2", 0.7071068, elements[1]); AssertEquals ("45#3", -0.7071068, elements[2]); AssertEquals ("45#4", 0.7071068, elements[3]); AssertEquals ("45#5", 0, elements[4]); AssertEquals ("45#6", 0, elements[5]); matrix.Rotate (135); Assert ("+135.!IsIdentity", !matrix.IsIdentity); elements = matrix.Elements; AssertEquals ("180#1", -1, elements[0], 0.0001); AssertEquals ("180#2", 0, elements[1], 0.0001); AssertEquals ("180#3", 0, elements[2], 0.0001); AssertEquals ("180#4", -1, elements[3], 0.0001); AssertEquals ("180#5", 0, elements[4]); AssertEquals ("180#6", 0, elements[5]); } [Test] public void Rotate_90_270_Matrix () { Matrix matrix = new Matrix (); Assert ("original.IsIdentity", matrix.IsIdentity); matrix.Rotate (90); Assert ("+90.!IsIdentity", !matrix.IsIdentity); float[] elements = matrix.Elements; AssertEquals ("90#1", 0, elements[0], 0.0001); AssertEquals ("90#2", 1, elements[1], 0.0001); AssertEquals ("90#3", -1, elements[2], 0.0001); AssertEquals ("90#4", 0, elements[3], 0.0001); AssertEquals ("90#5", 0, elements[4]); AssertEquals ("90#6", 0, elements[5]); matrix.Rotate (270); // this isn't a perfect 1, 0, 0, 1, 0, 0 matrix - but close enough Assert ("360.IsIdentity", matrix.IsIdentity); Assert ("360.Equals", !new Matrix ().Equals (matrix)); } [Test] [ExpectedException (typeof (ArgumentException))] public void Rotate_InvalidOrder () { new Matrix ().Rotate (180, (MatrixOrder) Int32.MinValue); } [Test] public void RotateAt () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); matrix.RotateAt (180, new PointF (10, 10)); AssertEquals ("I#1", -10, matrix.Elements[0]); AssertEquals ("I#2", -20, matrix.Elements[1]); AssertEquals ("I#3", -30, matrix.Elements[2]); AssertEquals ("I#4", -40, matrix.Elements[3]); AssertEquals ("I#5", 850, matrix.Elements[4]); AssertEquals ("I#6", 1260, matrix.Elements[5]); } [Test] [ExpectedException (typeof (ArgumentException))] public void RotateAt_InvalidOrder () { new Matrix ().RotateAt (180, new PointF (10, 10), (MatrixOrder) Int32.MinValue); } [Test] [ExpectedException (typeof (ArgumentNullException))] public void Multiply_Null () { new Matrix (10, 20, 30, 40, 50, 60).Multiply (null); } [Test] public void Multiply () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); matrix.Multiply (new Matrix (10, 20, 30, 40, 50, 60)); AssertEquals ("J#1", 700, matrix.Elements[0]); AssertEquals ("J#2", 1000, matrix.Elements[1]); AssertEquals ("J#3", 1500, matrix.Elements[2]); AssertEquals ("J#4", 2200, matrix.Elements[3]); AssertEquals ("J#5", 2350, matrix.Elements[4]); AssertEquals ("J#6", 3460, matrix.Elements[5]); } [Test] [ExpectedException (typeof (ArgumentNullException))] public void Multiply_Null_Order () { new Matrix (10, 20, 30, 40, 50, 60).Multiply (null, MatrixOrder.Append); } [Test] public void Multiply_Append () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); matrix.Multiply (new Matrix (10, 20, 30, 40, 50, 60), MatrixOrder.Append); AssertEquals ("J#1", 700, matrix.Elements[0]); AssertEquals ("J#2", 1000, matrix.Elements[1]); AssertEquals ("J#3", 1500, matrix.Elements[2]); AssertEquals ("J#4", 2200, matrix.Elements[3]); AssertEquals ("J#5", 2350, matrix.Elements[4]); AssertEquals ("J#6", 3460, matrix.Elements[5]); } [Test] public void Multiply_Prepend () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); matrix.Multiply (new Matrix (10, 20, 30, 40, 50, 60), MatrixOrder.Prepend); AssertEquals ("J#1", 700, matrix.Elements[0]); AssertEquals ("J#2", 1000, matrix.Elements[1]); AssertEquals ("J#3", 1500, matrix.Elements[2]); AssertEquals ("J#4", 2200, matrix.Elements[3]); AssertEquals ("J#5", 2350, matrix.Elements[4]); AssertEquals ("J#6", 3460, matrix.Elements[5]); } [Test] [ExpectedException (typeof (ArgumentException))] public void Multiply_InvalidOrder () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); matrix.Multiply (new Matrix (10, 20, 30, 40, 50, 60), (MatrixOrder)Int32.MinValue); } [Test] public void Equals () { Matrix mat1 = new Matrix (10, 20, 30, 40, 50, 60); Matrix mat2 = new Matrix (10, 20, 30, 40, 50, 60); Matrix mat3 = new Matrix (10, 20, 30, 40, 50, 10); AssertEquals ("E#1", true, mat1.Equals (mat2)); AssertEquals ("E#2", false, mat2.Equals (mat3)); AssertEquals ("E#3", false, mat1.Equals (mat3)); } [Test] public void Invert () { Matrix matrix = new Matrix (1, 2, 3, 4, 5, 6); matrix.Invert (); AssertEquals ("V#1", -2, matrix.Elements[0]); AssertEquals ("V#2", 1, matrix.Elements[1]); AssertEquals ("V#3", 1.5, matrix.Elements[2]); AssertEquals ("V#4", -0.5, matrix.Elements[3]); AssertEquals ("V#5", 1, matrix.Elements[4]); AssertEquals ("V#6", -2, matrix.Elements[5]); } [Test] public void Invert_Translation () { Matrix matrix = new Matrix (1, 0, 0, 1, 8, 8); matrix.Invert (); float[] elements = matrix.Elements; AssertEquals ("#1", 1, elements[0]); AssertEquals ("#2", 0, elements[1]); AssertEquals ("#3", 0, elements[2]); AssertEquals ("#4", 1, elements[3]); AssertEquals ("#5", -8, elements[4]); AssertEquals ("#6", -8, elements[5]); } [Test] public void Invert_Identity () { Matrix matrix = new Matrix (); Assert ("IsIdentity", matrix.IsIdentity); Assert ("IsInvertible", matrix.IsInvertible); matrix.Invert (); Assert ("IsIdentity-2", matrix.IsIdentity); Assert ("IsInvertible-2", matrix.IsInvertible); } [Test] public void Scale () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); matrix.Scale (2, 4); AssertEquals ("S#1", 20, matrix.Elements[0]); AssertEquals ("S#2", 40, matrix.Elements[1]); AssertEquals ("S#3", 120, matrix.Elements[2]); AssertEquals ("S#4", 160, matrix.Elements[3]); AssertEquals ("S#5", 50, matrix.Elements[4]); AssertEquals ("S#6", 60, matrix.Elements[5]); matrix.Scale (0.5f, 0.25f); AssertEquals ("SB#1", 10, matrix.Elements[0]); AssertEquals ("SB#2", 20, matrix.Elements[1]); AssertEquals ("SB#3", 30, matrix.Elements[2]); AssertEquals ("SB#4", 40, matrix.Elements[3]); AssertEquals ("SB#5", 50, matrix.Elements[4]); AssertEquals ("SB#6", 60, matrix.Elements[5]); } [Test] public void Scale_Negative () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); matrix.Scale (-2, -4); AssertEquals ("S#1", -20, matrix.Elements[0]); AssertEquals ("S#2", -40, matrix.Elements[1]); AssertEquals ("S#3", -120, matrix.Elements[2]); AssertEquals ("S#4", -160, matrix.Elements[3]); AssertEquals ("S#5", 50, matrix.Elements[4]); AssertEquals ("S#6", 60, matrix.Elements[5]); } [Test] [ExpectedException (typeof (ArgumentException))] public void Scale_InvalidOrder () { new Matrix ().Scale (2, 1, (MatrixOrder) Int32.MinValue); } [Test] public void Shear () { Matrix matrix = new Matrix (10, 20, 30, 40, 50, 60); matrix.Shear (2, 4); AssertEquals ("H#1", 130, matrix.Elements[0]); AssertEquals ("H#2", 180, matrix.Elements[1]); AssertEquals ("H#3", 50, matrix.Elements[2]); AssertEquals ("H#4", 80, matrix.Elements[3]); AssertEquals ("H#5", 50, matrix.Elements[4]); AssertEquals ("H#6", 60, matrix.Elements[5]); matrix = new Matrix (5, 3, 9, 2, 2, 1); matrix.Shear (10, 20); AssertEquals ("H#7", 185, matrix.Elements[0]); AssertEquals ("H#8", 43, matrix.Elements[1]); AssertEquals ("H#9", 59, matrix.Elements[2]); AssertEquals ("H#10", 32, matrix.Elements[3]); AssertEquals ("H#11", 2, matrix.Elements[4]); AssertEquals ("H#12", 1, matrix.Elements[5]); } [Test] [ExpectedException (typeof (ArgumentException))] public void Shear_InvalidOrder () { new Matrix ().Shear (-1, 1, (MatrixOrder) Int32.MinValue); } [Test] public void TransformPoints () { Matrix matrix = new Matrix (2, 4, 6, 8, 10, 12); PointF [] pointsF = new PointF [] {new PointF (2, 4), new PointF (4, 8)}; matrix.TransformPoints (pointsF); AssertEquals ("K#1", 38, pointsF[0].X); AssertEquals ("K#2", 52, pointsF[0].Y); AssertEquals ("K#3", 66, pointsF[1].X); AssertEquals ("K#4", 92, pointsF[1].Y); Point [] points = new Point [] {new Point (2, 4), new Point (4, 8)}; matrix.TransformPoints (points); AssertEquals ("K#5", 38, pointsF[0].X); AssertEquals ("K#6", 52, pointsF[0].Y); AssertEquals ("K#7", 66, pointsF[1].X); AssertEquals ("K#8", 92, pointsF[1].Y); } [Test] [ExpectedException (typeof (ArgumentNullException))] public void TransformPoints_Point_Null () { new Matrix ().TransformPoints ((Point[]) null); } [Test] [ExpectedException (typeof (ArgumentNullException))] public void TransformPoints_PointF_Null () { new Matrix ().TransformPoints ((PointF[]) null); } [Test] [ExpectedException (typeof (ArgumentException))] public void TransformPoints_Point_Empty () { new Matrix ().TransformPoints (new Point[0]); } [Test] [ExpectedException (typeof (ArgumentException))] public void TransformPoints_PointF_Empty () { new Matrix ().TransformPoints (new PointF[0]); } [Test] public void TransformVectors () { Matrix matrix = new Matrix (2, 4, 6, 8, 10, 12); PointF [] pointsF = new PointF [] {new PointF (2, 4), new PointF (4, 8)}; matrix.TransformVectors (pointsF); AssertEquals ("N#1", 28, pointsF[0].X); AssertEquals ("N#2", 40, pointsF[0].Y); AssertEquals ("N#3", 56, pointsF[1].X); AssertEquals ("N#4", 80, pointsF[1].Y); Point [] points = new Point [] {new Point (2, 4), new Point (4, 8)}; matrix.TransformVectors (points); AssertEquals ("N#5", 28, pointsF[0].X); AssertEquals ("N#6", 40, pointsF[0].Y); AssertEquals ("N#7", 56, pointsF[1].X); AssertEquals ("N#8", 80, pointsF[1].Y); } [Test] [ExpectedException (typeof (ArgumentNullException))] public void TransformVectors_Point_Null () { new Matrix ().TransformVectors ((Point[]) null); } [Test] [ExpectedException (typeof (ArgumentNullException))] public void TransformVectors_PointF_Null () { new Matrix ().TransformVectors ((PointF[]) null); } [Test] [ExpectedException (typeof (ArgumentException))] public void TransformVectors_Point_Empty () { new Matrix ().TransformVectors (new Point[0]); } [Test] [ExpectedException (typeof (ArgumentException))] public void TransformVectors_PointF_Empty () { new Matrix ().TransformVectors (new PointF[0]); } [Test] public void Translate () { Matrix matrix = new Matrix (2, 4, 6, 8, 10, 12); matrix.Translate (5, 10); AssertEquals ("Y#1", 2, matrix.Elements[0]); AssertEquals ("Y#2", 4, matrix.Elements[1]); AssertEquals ("Y#3", 6, matrix.Elements[2]); AssertEquals ("Y#4", 8, matrix.Elements[3]); AssertEquals ("Y#5", 80, matrix.Elements[4]); AssertEquals ("Y#6", 112, matrix.Elements[5]); } [Test] [ExpectedException (typeof (ArgumentException))] public void Translate_InvalidOrder () { new Matrix ().Translate (-1, 1, (MatrixOrder) Int32.MinValue); } [Test] [ExpectedException (typeof (ArgumentNullException))] public void VectorTransformPoints_Null () { new Matrix ().VectorTransformPoints ((Point[]) null); } [Test] [ExpectedException (typeof (ArgumentException))] public void VectorTransformPoints_Empty () { new Matrix ().VectorTransformPoints (new Point[0]); } } }