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// <copyright file="Matrix.cs" company="Math.NET">
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// Math.NET Numerics, part of the Math.NET Project
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// http://mathnet.opensourcedotnet.info
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//
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// Copyright (c) 2009 Math.NET
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//
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// Permission is hereby granted, free of charge, to any person
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// obtaining a copy of this software and associated documentation
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// files (the "Software"), to deal in the Software without
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// restriction, including without limitation the rights to use,
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// copy, modify, merge, publish, distribute, sublicense, and/or sell
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// copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following
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// conditions:
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//
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// The above copyright notice and this permission notice shall be
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// included in all copies or substantial portions of the Software.
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//
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
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// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
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// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
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// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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// OTHER DEALINGS IN THE SOFTWARE.
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// </copyright>
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namespace MathNet.Numerics.LinearAlgebra.Double |
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{ |
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using System; |
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using System.Text; |
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using Properties; |
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using Threading; |
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/// <summary>
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/// Defines the base class for <c>Matrix</c> classes.
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/// </summary>
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public abstract partial class Matrix |
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{ |
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/// <summary>
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/// Adds another matrix to this matrix. The result will be written into this matrix.
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/// </summary>
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/// <param name="other">The matrix to add to this matrix.</param>
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/// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
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/// <exception cref="ArgumentOutOfRangeException">If the two matrices don't have the same dimensions.</exception>
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public virtual void Add(Matrix other) |
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{ |
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if (other == null) |
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{ |
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throw new ArgumentNullException("other"); |
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} |
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if (other.RowCount != RowCount || other.ColumnCount != ColumnCount) |
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{ |
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throw new ArgumentOutOfRangeException(Resources.ArgumentMatrixDimensions); |
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} |
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Parallel.For( |
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0, |
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RowCount, |
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i => |
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{ |
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for (int j = 0; j < ColumnCount; j++) |
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{ |
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At(i, j, At(i, j) + other.At(i, j)); |
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} |
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}); |
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} |
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/// <summary>
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/// Adds two matrices together and returns the results.
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/// </summary>
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/// <remarks>This operator will allocate new memory for the result. It will
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/// choose the representation of either <paramref name="leftSide"/> or <paramref name="rightSide"/> depending on which
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/// is denser.</remarks>
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/// <param name="leftSide">The left matrix to add.</param>
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/// <param name="rightSide">The right matrix to add.</param>
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/// <returns>The result of the addition.</returns>
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/// <exception cref="ArgumentOutOfRangeException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> don't have the same dimensions.</exception>
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/// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
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public static Matrix operator +(Matrix leftSide, Matrix rightSide) |
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{ |
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if (rightSide == null) |
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{ |
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throw new ArgumentNullException("rightSide"); |
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} |
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if (leftSide == null) |
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{ |
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throw new ArgumentNullException("leftSide"); |
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} |
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if (leftSide.RowCount != rightSide.RowCount || leftSide.ColumnCount != rightSide.ColumnCount) |
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{ |
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throw new ArgumentOutOfRangeException(Resources.ArgumentMatrixDimensions); |
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} |
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Matrix ret = leftSide.Clone(); |
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ret.Add(rightSide); |
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return ret; |
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} |
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/// <summary>
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/// Subtracts another matrix from this matrix. The result will be written into this matrix.
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/// </summary>
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/// <param name="other">The matrix to subtract.</param>
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/// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
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/// <exception cref="ArgumentOutOfRangeException">If the two matrices don't have the same dimensions.</exception>
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public virtual void Subtract(Matrix other) |
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{ |
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if (other == null) |
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{ |
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throw new ArgumentNullException("other"); |
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} |
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if (other.RowCount != RowCount || other.ColumnCount != ColumnCount) |
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{ |
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throw new ArgumentOutOfRangeException(Resources.ArgumentMatrixDimensions); |
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} |
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Parallel.For( |
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0, |
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RowCount, |
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i => |
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{ |
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for (int j = 0; j < ColumnCount; j++) |
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{ |
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At(i, j, At(i, j) - other.At(i, j)); |
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} |
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}); |
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} |
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/// <summary>
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/// Subtracts two matrices together and returns the results.
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/// </summary>
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/// <remarks>This operator will allocate new memory for the result. It will
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/// choose the representation of either <paramref name="leftSide"/> or <paramref name="rightSide"/> depending on which
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/// is denser.</remarks>
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/// <param name="leftSide">The left matrix to subtract.</param>
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/// <param name="rightSide">The right matrix to subtract.</param>
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/// <returns>The result of the addition.</returns>
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/// <exception cref="ArgumentOutOfRangeException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> don't have the same dimensions.</exception>
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/// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
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public static Matrix operator -(Matrix leftSide, Matrix rightSide) |
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{ |
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if (rightSide == null) |
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{ |
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throw new ArgumentNullException("rightSide"); |
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} |
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if (leftSide == null) |
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{ |
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throw new ArgumentNullException("leftSide"); |
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} |
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if (leftSide.RowCount != rightSide.RowCount || leftSide.ColumnCount != rightSide.ColumnCount) |
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{ |
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throw new ArgumentOutOfRangeException(Resources.ArgumentMatrixDimensions); |
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} |
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Matrix ret = leftSide.Clone(); |
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ret.Subtract(rightSide); |
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return ret; |
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} |
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/// <summary>
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/// Multiplies this matrix with another matrix and places the results into the result matrix.
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/// </summary>
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/// <param name="other">The matrix to multiply with.</param>
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/// <param name="result">The result of the multiplication.</param>
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/// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
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/// <exception cref="ArgumentNullException">If the result matrix is <see langword="null" />.</exception>
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/// <exception cref="NotConformableException">If <strong>this.Columns != other.Rows</strong>.</exception>
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/// <exception cref="NotConformableException">If the result matrix's dimensions are not the this.Rows x other.Columns.</exception>
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public virtual void Multiply(Matrix other, Matrix result) |
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{ |
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if (other == null) |
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{ |
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throw new ArgumentNullException("other"); |
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} |
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if (result == null) |
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{ |
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throw new ArgumentNullException("result"); |
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} |
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if (ColumnCount != other.RowCount) |
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{ |
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throw new ArgumentException(Resources.ArgumentMatrixDimensions); |
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} |
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if (result.RowCount != RowCount || result.ColumnCount != other.ColumnCount) |
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{ |
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throw new ArgumentException(Resources.ArgumentMatrixDimensions); |
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} |
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if (ReferenceEquals(this, result) || ReferenceEquals(other, result)) |
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{ |
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Matrix tmp = result.CreateMatrix(result.RowCount, result.ColumnCount); |
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Multiply(other, tmp); |
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tmp.CopyTo(result); |
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} |
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else |
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{ |
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Parallel.For(0, this.RowCount, j => |
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{ |
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for (int i = 0; i != other.ColumnCount; i++) |
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{ |
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double s = 0; |
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for (int l = 0; l < this.ColumnCount; l++) |
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{ |
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s += this.At(j, l) * other.At(l, i); |
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} |
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result.At(j, i, s); |
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} |
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}); |
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} |
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} |
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/// <summary>
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/// Multiplies this matrix with another matrix and returns the result.
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/// </summary>
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/// <remarks>This operator will allocate new memory for the result. It will
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/// choose the representation of either <paramref name="leftSide"/> or <paramref name="rightSide"/> depending on which
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/// is denser.</remarks>
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/// <param name="other">The matrix to multiply with.</param>
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/// <exception cref="NotConformableException">If <strong>this.Columns != other.Rows</strong>.</exception>
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/// <exception cref="ArgumentNullException">If the other matrix is <see langword="null" />.</exception>
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public virtual Matrix Multiply(Matrix other) |
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{ |
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if (other == null) |
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{ |
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throw new ArgumentNullException("other"); |
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} |
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if (ColumnCount != other.RowCount) |
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{ |
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throw new ArgumentException(Resources.ArgumentMatrixDimensions); |
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} |
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Matrix result = CreateMatrix(RowCount, other.ColumnCount); |
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Multiply(other, result); |
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return result; |
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} |
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/// <summary>
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/// Multiplies two matrices.
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/// </summary>
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/// <remarks>This operator will allocate new memory for the result. It will
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/// choose the representation of either <paramref name="leftSide"/> or <paramref name="rightSide"/> depending on which
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/// is denser.</remarks>
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/// <param name="leftSide">The left matrix to multiply.</param>
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/// <param name="rightSide">The right matrix to multiply.</param>
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/// <returns>The result of multiplication.</returns>
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/// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
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/// <exception cref="NotConformableException">If the dimensions of <paramref name="leftSide"/> or <paramref name="rightSide"/> don't conform.</exception>
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public static Matrix operator *(Matrix leftSide, Matrix rightSide) |
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{ |
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if (leftSide == null) |
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{ |
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throw new ArgumentNullException("leftSide"); |
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} |
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if (rightSide == null) |
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{ |
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throw new ArgumentNullException("rightSide"); |
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} |
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if (leftSide.ColumnCount != rightSide.RowCount) |
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{ |
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throw new ArgumentException(Resources.ArgumentMatrixDimensions); |
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} |
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return leftSide.Multiply(rightSide); |
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} |
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} |
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} |
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