/// <summary> /// Run example /// </summary> /// <seealso cref="http://en.wikipedia.org/wiki/Matrix_multiplication#Scalar_multiplication">Multiply matrix by scalar</seealso> /// <seealso cref="http://reference.wolfram.com/mathematica/tutorial/MultiplyingVectorsAndMatrices.html">Multiply matrix by vector</seealso> /// <seealso cref="http://en.wikipedia.org/wiki/Matrix_multiplication#Matrix_product">Multiply matrix by matrix</seealso> /// <seealso cref="http://en.wikipedia.org/wiki/Matrix_multiplication#Hadamard_product">Pointwise multiplies matrix with another matrix</seealso> /// <seealso cref="http://en.wikipedia.org/wiki/Matrix_%28mathematics%29#Basic_operations">Addition and subtraction</seealso> public void Run() { // Initialize IFormatProvider to print matrix/vector data var formatProvider = (CultureInfo)CultureInfo.InvariantCulture.Clone(); formatProvider.TextInfo.ListSeparator = " "; // Create matrix "A" var matrixA = new DenseMatrix(new[,] { { 1.0, 2.0, 3.0 }, { 4.0, 5.0, 6.0 }, { 7.0, 8.0, 9.0 } }); Console.WriteLine(@"Matrix A"); Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // Create matrix "B" var matrixB = new DenseMatrix(new[,] { { 1.0, 3.0, 5.0 }, { 2.0, 4.0, 6.0 }, { 3.0, 5.0, 7.0 } }); Console.WriteLine(@"Matrix B"); Console.WriteLine(matrixB.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // Multiply matrix by scalar // 1. Using operator "*" var resultM = 3.0 * matrixA; Console.WriteLine(@"Multiply matrix by scalar using operator *. (result = 3.0 * A)"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 2. Using Multiply method and getting result into different matrix instance resultM = (DenseMatrix)matrixA.Multiply(3.0); Console.WriteLine(@"Multiply matrix by scalar using method Multiply. (result = A.Multiply(3.0))"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 3. Using Multiply method and updating matrix itself matrixA.Multiply(3.0, matrixA); Console.WriteLine(@"Multiply matrix by scalar using method Multiply. (A.Multiply(3.0, A))"); Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // Multiply matrix by vector (right-multiply) var vector = new DenseVector(new[] { 1.0, 2.0, 3.0 }); Console.WriteLine(@"Vector"); Console.WriteLine(vector.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 1. Using operator "*" var resultV = matrixA * vector; Console.WriteLine(@"Multiply matrix by vector using operator *. (result = A * vec)"); Console.WriteLine(resultV.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 2. Using Multiply method and getting result into different vector instance resultV = (DenseVector)matrixA.Multiply(vector); Console.WriteLine(@"Multiply matrix by vector using method Multiply. (result = A.Multiply(vec))"); Console.WriteLine(resultV.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 3. Using Multiply method and updating vector itself matrixA.Multiply(vector, vector); Console.WriteLine(@"Multiply matrix by vector using method Multiply. (A.Multiply(vec, vec))"); Console.WriteLine(vector.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // Multiply vector by matrix (left-multiply) // 1. Using operator "*" resultV = vector * matrixA; Console.WriteLine(@"Multiply vector by matrix using operator *. (result = vec * A)"); Console.WriteLine(resultV.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 2. Using LeftMultiply method and getting result into different vector instance resultV = (DenseVector)matrixA.LeftMultiply(vector); Console.WriteLine(@"Multiply vector by matrix using method LeftMultiply. (result = A.LeftMultiply(vec))"); Console.WriteLine(resultV.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 3. Using LeftMultiply method and updating vector itself matrixA.LeftMultiply(vector, vector); Console.WriteLine(@"Multiply vector by matrix using method LeftMultiply. (A.LeftMultiply(vec, vec))"); Console.WriteLine(vector.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // Multiply matrix by matrix // 1. Using operator "*" resultM = matrixA * matrixB; Console.WriteLine(@"Multiply matrix by matrix using operator *. (result = A * B)"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 2. Using Multiply method and getting result into different matrix instance resultM = (DenseMatrix)matrixA.Multiply(matrixB); Console.WriteLine(@"Multiply matrix by matrix using method Multiply. (result = A.Multiply(B))"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 3. Using Multiply method and updating matrix itself matrixA.Multiply(matrixB, matrixA); Console.WriteLine(@"Multiply matrix by matrix using method Multiply. (A.Multiply(B, A))"); Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // Pointwise multiplies matrix with another matrix // 1. Using PointwiseMultiply method and getting result into different matrix instance resultM = (DenseMatrix)matrixA.PointwiseMultiply(matrixB); Console.WriteLine(@"Pointwise multiplies matrix with another matrix using method PointwiseMultiply. (result = A.PointwiseMultiply(B))"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 2. Using PointwiseMultiply method and updating matrix itself matrixA.PointwiseMultiply(matrixB, matrixA); Console.WriteLine(@"Pointwise multiplies matrix with another matrix using method PointwiseMultiply. (A.PointwiseMultiply(B, A))"); Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // Pointwise divide matrix with another matrix // 1. Using PointwiseDivide method and getting result into different matrix instance resultM = (DenseMatrix)matrixA.PointwiseDivide(matrixB); Console.WriteLine(@"Pointwise divide matrix with another matrix using method PointwiseDivide. (result = A.PointwiseDivide(B))"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 2. Using PointwiseDivide method and updating matrix itself matrixA.PointwiseDivide(matrixB, matrixA); Console.WriteLine(@"Pointwise divide matrix with another matrix using method PointwiseDivide. (A.PointwiseDivide(B, A))"); Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // Addition // 1. Using operator "+" resultM = matrixA + matrixB; Console.WriteLine(@"Add matrices using operator +. (result = A + B)"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 2. Using Add method and getting result into different matrix instance resultM = (DenseMatrix)matrixA.Add(matrixB); Console.WriteLine(@"Add matrices using method Add. (result = A.Add(B))"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 3. Using Add method and updating matrix itself matrixA.Add(matrixB, matrixA); Console.WriteLine(@"Add matrices using method Add. (A.Add(B, A))"); Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // Subtraction // 1. Using operator "-" resultM = matrixA - matrixB; Console.WriteLine(@"Subtract matrices using operator -. (result = A - B)"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 2. Using Subtract method and getting result into different matrix instance resultM = (DenseMatrix)matrixA.Subtract(matrixB); Console.WriteLine(@"Subtract matrices using method Subtract. (result = A.Subtract(B))"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 3. Using Subtract method and updating matrix itself matrixA.Subtract(matrixB, matrixA); Console.WriteLine(@"Subtract matrices using method Subtract. (A.Subtract(B, A))"); Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // Divide by scalar // 1. Using Divide method and getting result into different matrix instance resultM = (DenseMatrix)matrixA.Divide(3.0); Console.WriteLine(@"Divide matrix by scalar using method Divide. (result = A.Divide(3.0))"); Console.WriteLine(resultM.ToString("#0.00\t", formatProvider)); Console.WriteLine(); // 2. Using Divide method and updating matrix itself matrixA.Divide(3.0, matrixA); Console.WriteLine(@"Divide matrix by scalar using method Divide. (A.Divide(3.0, A))"); Console.WriteLine(matrixA.ToString("#0.00\t", formatProvider)); Console.WriteLine(); }
public Color[,] ColorizeVectors(Color[,] input) { if (LongestChord.firstPixel == null || LongestChord.secondPixel == null || LongestPerpendicularChord.firstPixel == null || LongestPerpendicularChord.secondPixel == null) return input; Color[,] output = (Color[,])input.Clone(); double angle = LongestChord.orientation; double uv1CosAngle = Math.Cos(angle); double uv1SinAngle = Math.Sin(angle); double pAngle = Math.PI / 2; double[] rotationArray = new double[] { Math.Cos(pAngle), -1.0 * Math.Sin(pAngle), Math.Sin(pAngle), Math.Cos(pAngle) }; Matrix<double> rotationMatrix = new DenseMatrix(2, 2, rotationArray); Vector<double> unitVector1 = new DenseVector(new double[] { uv1CosAngle, uv1SinAngle }); Vector<double> unitVector2 = new DenseVector(new double[2]); rotationMatrix.LeftMultiply(unitVector1, unitVector2); double uv2CosAngle = unitVector2[0]; double uv2SinAngle = unitVector2[1]; int lcX = 0; if (uv1CosAngle > 0) if (LongestChord.firstPixel.X < LongestChord.secondPixel.X) lcX = LongestChord.firstPixel.X; else lcX = LongestChord.secondPixel.X; else if (LongestChord.firstPixel.X < LongestChord.secondPixel.X) lcX = LongestChord.secondPixel.X; else lcX = LongestChord.firstPixel.X; int lcY = 0; if (uv1SinAngle > 0) if (LongestChord.firstPixel.Y < LongestChord.secondPixel.Y) lcY = LongestChord.firstPixel.Y; else lcY = LongestChord.secondPixel.Y; else if (LongestChord.firstPixel.Y < LongestChord.secondPixel.Y) lcY = LongestChord.secondPixel.Y; else lcY = LongestChord.firstPixel.Y; for (int i = 0; i < LongestChord.distance; i++) { int uv1X = OffsetX + lcX + ((int)Math.Round(uv1CosAngle * i)); int uv1Y = OffsetY + lcY + ((int)Math.Round(uv1SinAngle * i)); output[uv1X, uv1Y] = Color.Red; } int lpcX = 0; if (uv2CosAngle > 0) if (LongestPerpendicularChord.firstPixel.X < LongestPerpendicularChord.secondPixel.X) lpcX = LongestPerpendicularChord.firstPixel.X; else lpcX = LongestPerpendicularChord.secondPixel.X; else if (LongestPerpendicularChord.firstPixel.X < LongestPerpendicularChord.secondPixel.X) lpcX = LongestPerpendicularChord.secondPixel.X; else lpcX = LongestPerpendicularChord.firstPixel.X; int lpcY = 0; if (uv2SinAngle > 0) if (LongestPerpendicularChord.firstPixel.Y < LongestPerpendicularChord.secondPixel.Y) lpcY = LongestPerpendicularChord.firstPixel.Y; else lpcY = LongestPerpendicularChord.secondPixel.Y; else if (LongestPerpendicularChord.firstPixel.Y < LongestPerpendicularChord.secondPixel.Y) lpcY = LongestPerpendicularChord.secondPixel.Y; else lpcY = LongestPerpendicularChord.firstPixel.Y; for (int i = 0; i < LongestPerpendicularChord.distance; i++) { int uv2X = OffsetX + lpcX + ((int)Math.Round(uv2CosAngle * i)); int uv2Y = OffsetY + lpcY + ((int)Math.Round(uv2SinAngle * i)); output[uv2X, uv2Y] = Color.Blue; } return output; }