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@ -35,8 +35,6 @@ namespace MathNet.Numerics.LinearAlgebra.Generic |
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using Numerics; |
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using Numerics; |
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using Properties; |
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using Properties; |
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using Storage; |
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using Storage; |
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using Threading; |
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/// <summary>
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/// <summary>
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/// Defines the base class for <c>Matrix</c> classes.
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/// Defines the base class for <c>Matrix</c> classes.
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@ -290,6 +288,19 @@ namespace MathNet.Numerics.LinearAlgebra.Generic |
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return result; |
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return result; |
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} |
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} |
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#if !PORTABLE
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/// <summary>
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/// Creates a new object that is a copy of the current instance.
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/// </summary>
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/// <returns>
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/// A new object that is a copy of this instance.
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/// </returns>
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object ICloneable.Clone() |
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{ |
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return Clone(); |
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} |
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#endif
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/// <summary>
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/// <summary>
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/// Copies the elements of this matrix to the given matrix.
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/// Copies the elements of this matrix to the given matrix.
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/// </summary>
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/// </summary>
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@ -339,17 +350,6 @@ namespace MathNet.Numerics.LinearAlgebra.Generic |
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/// </remarks>
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/// </remarks>
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public abstract Vector<T> CreateVector(int size, bool fullyMutable = false); |
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public abstract Vector<T> CreateVector(int size, bool fullyMutable = false); |
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/// <summary>
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/// Returns a <see cref="System.String"/> that represents this instance.
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/// </summary>
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/// <returns>
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/// A <see cref="System.String"/> that represents this instance.
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/// </returns>
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public override string ToString() |
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{ |
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return ToString(null); |
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} |
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/// <summary>
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/// <summary>
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/// Copies a row into an Vector.
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/// Copies a row into an Vector.
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/// </summary>
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/// </summary>
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@ -521,6 +521,25 @@ namespace MathNet.Numerics.LinearAlgebra.Generic |
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Storage.CopySubColumnTo(result.Storage, columnIndex, rowIndex, 0, length); |
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Storage.CopySubColumnTo(result.Storage, columnIndex, rowIndex, 0, length); |
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} |
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} |
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/// <summary>
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/// Returns a new matrix containing the upper triangle of this matrix.
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/// </summary>
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/// <returns>The upper triangle of this matrix.</returns>
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public virtual Matrix<T> UpperTriangle() |
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{ |
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var ret = CreateMatrix(RowCount, ColumnCount); |
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for (var row = 0; row < RowCount; row++) |
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{ |
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for (var column = row; column < ColumnCount; column++) |
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{ |
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ret.At(row, column, At(row, column)); |
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} |
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} |
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return ret; |
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} |
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/// <summary>
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/// <summary>
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/// Returns a new matrix containing the lower triangle of this matrix.
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/// Returns a new matrix containing the lower triangle of this matrix.
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/// </summary>
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/// </summary>
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@ -567,25 +586,6 @@ namespace MathNet.Numerics.LinearAlgebra.Generic |
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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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/// Returns a new matrix containing the upper triangle of this matrix.
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/// </summary>
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/// <returns>The upper triangle of this matrix.</returns>
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public virtual Matrix<T> UpperTriangle() |
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{ |
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var ret = CreateMatrix(RowCount, ColumnCount); |
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for (var row = 0; row < RowCount; row++) |
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{ |
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for (var column = row; column < ColumnCount; column++) |
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{ |
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ret.At(row, column, At(row, column)); |
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} |
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} |
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return ret; |
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} |
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/// <summary>
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/// <summary>
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/// Puts the upper triangle of this matrix into the result matrix.
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/// Puts the upper triangle of this matrix into the result matrix.
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/// </summary>
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/// </summary>
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@ -636,105 +636,6 @@ namespace MathNet.Numerics.LinearAlgebra.Generic |
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return target; |
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return target; |
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} |
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} |
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/// <summary>
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/// Returns an <see cref="IEnumerator{T}"/> that enumerates over the matrix columns.
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/// </summary>
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/// <returns>An <see cref="IEnumerator{T}"/> that enumerates over the matrix columns</returns>
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/// <seealso cref="IEnumerator{T}"/>
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public virtual IEnumerable<Tuple<int, Vector<T>>> ColumnEnumerator() |
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{ |
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for (var i = 0; i < ColumnCount; i++) |
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{ |
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yield return new Tuple<int, Vector<T>>(i, Column(i)); |
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} |
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} |
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/// <summary>
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/// Returns an <see cref="IEnumerator{T}"/> that enumerates the requested matrix columns.
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/// </summary>
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/// <param name="index">The column to start enumerating over.</param>
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/// <param name="length">The number of columns to enumerating over.</param>
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/// <returns>An <see cref="IEnumerator{T}"/> that enumerates over requested matrix columns.</returns>
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/// <seealso cref="IEnumerator{T}"/>
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/// <exception cref="ArgumentOutOfRangeException">If:
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/// <list><item><paramref name="index"/> is negative,
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/// or greater than or equal to the number of columns.</item>
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/// <item><c>(index + length) >= Columns.</c></item></list>
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/// </exception>
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/// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
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public virtual IEnumerable<Tuple<int, Vector<T>>> ColumnEnumerator(int index, int length) |
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{ |
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if (index >= ColumnCount || index < 0) |
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{ |
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throw new ArgumentOutOfRangeException("index"); |
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} |
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if (index + length > ColumnCount) |
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{ |
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throw new ArgumentOutOfRangeException("length"); |
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} |
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if (length < 1) |
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{ |
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throw new ArgumentException(Resources.ArgumentMustBePositive, "length"); |
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} |
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var maxIndex = index + length; |
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for (var i = index; i < maxIndex; i++) |
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{ |
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yield return new Tuple<int, Vector<T>>(i, Column(i)); |
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} |
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} |
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/// <summary>
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/// Returns an <see cref="IEnumerator{T}"/> that enumerates the requested matrix rows.
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/// </summary>
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/// <param name="index">The row to start enumerating over.</param>
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/// <param name="length">The number of rows to enumerating over.</param>
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/// <returns>An <see cref="IEnumerator{T}"/> that enumerates over requested matrix rows.</returns>
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/// <seealso cref="IEnumerator{T}"/>
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/// <exception cref="ArgumentOutOfRangeException">If:
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/// <list><item><paramref name="index"/> is negative,
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/// or greater than or equal to the number of rows.</item>
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/// <item><c>(index + length) >= Rows.</c></item></list></exception>
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/// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
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public virtual IEnumerable<Tuple<int, Vector<T>>> RowEnumerator(int index, int length) |
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{ |
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if (index >= RowCount || index < 0) |
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{ |
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throw new ArgumentOutOfRangeException("index"); |
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} |
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if (index + length > RowCount) |
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{ |
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throw new ArgumentOutOfRangeException("length"); |
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} |
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if (length < 1) |
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{ |
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throw new ArgumentException(Resources.ArgumentMustBePositive, "length"); |
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} |
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var maxi = index + length; |
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for (var i = index; i < maxi; i++) |
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{ |
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yield return new Tuple<int, Vector<T>>(i, Row(i)); |
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} |
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} |
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/// <summary>
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/// Returns an <see cref="IEnumerator{T}"/> that enumerates over the matrix rows.
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/// </summary>
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/// <returns>An <see cref="IEnumerator{T}"/> that enumerates over the matrix rows</returns>
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/// <seealso cref="IEnumerator{T}"/>
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public virtual IEnumerable<Tuple<int, Vector<T>>> RowEnumerator() |
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{ |
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for (var i = 0; i < RowCount; i++) |
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{ |
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yield return new Tuple<int, Vector<T>>(i, Row(i)); |
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} |
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} |
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/// <summary>
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/// <summary>
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/// Returns the elements of the diagonal in a Vector.
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/// Returns the elements of the diagonal in a Vector.
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/// </summary>
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/// </summary>
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@ -1157,217 +1058,67 @@ namespace MathNet.Numerics.LinearAlgebra.Generic |
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} |
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} |
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/// <summary>
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/// <summary>
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/// Returns this matrix as a multidimensional array.
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/// Returns the transpose of this matrix.
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/// </summary>
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/// </summary>
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/// <returns>A multidimensional containing the values of this matrix.</returns>
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/// <returns>The transpose of this matrix.</returns>
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public T[,] ToArray() |
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public virtual Matrix<T> Transpose() |
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{ |
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{ |
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return Storage.ToArray(); |
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var ret = CreateMatrix(ColumnCount, RowCount); |
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} |
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for (var j = 0; j < ColumnCount; j++) |
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{ |
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for (var i = 0; i < RowCount; i++) |
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{ |
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ret.At(j, i, At(i, j)); |
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} |
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} |
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/// <summary>
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return ret; |
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/// Returns the matrix's elements as an array with the data laid out column-wise.
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/// </summary>
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/// <example><pre>
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/// 1, 2, 3
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/// 4, 5, 6 will be returned as 1, 4, 7, 2, 5, 8, 3, 6, 9
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/// 7, 8, 9
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/// </pre></example>
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/// <returns>An array containing the matrix's elements.</returns>
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public T[] ToColumnWiseArray() |
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{ |
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return Storage.ToColumnMajorArray(); |
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} |
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} |
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/// <summary>
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/// <summary>
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/// Returns the matrix's elements as an array with the data laid row-wise.
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/// Returns the conjugate transpose of this matrix.
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/// </summary>
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/// </summary>
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/// <example><pre>
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/// <returns>The conjugate transpose of this matrix.</returns>
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/// 1, 2, 3
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public abstract Matrix<T> ConjugateTranspose(); |
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/// 4, 5, 6 will be returned as 1, 2, 3, 4, 5, 6, 7, 8, 9
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/// 7, 8, 9
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/// </pre></example>
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/// <returns>An array containing the matrix's elements.</returns>
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public T[] ToRowWiseArray() |
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{ |
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return Storage.ToRowMajorArray(); |
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} |
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#region Implemented Interfaces
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#if !PORTABLE
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#region ICloneable
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/// <summary>
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/// <summary>
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/// Creates a new object that is a copy of the current instance.
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/// Permute the rows of a matrix according to a permutation.
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/// </summary>
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/// </summary>
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/// <returns>
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/// <param name="p">The row permutation to apply to this matrix.</param>
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/// A new object that is a copy of this instance.
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public virtual void PermuteRows(Permutation p) |
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/// </returns>
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object ICloneable.Clone() |
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{ |
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{ |
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return Clone(); |
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if (p.Dimension != RowCount) |
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} |
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{ |
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throw new ArgumentException(Resources.ArgumentArraysSameLength, "p"); |
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#endregion
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} |
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#endif
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// Get a sequence of inversions from the permutation.
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var inv = p.ToInversions(); |
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#region IEquatable<Matrix<T>>
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for (var i = 0; i < inv.Length; i++) |
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{ |
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if (inv[i] != i) |
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{ |
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var q = inv[i]; |
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for (var j = 0; j < ColumnCount; j++) |
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{ |
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var temp = At(q, j); |
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At(q, j, At(i, j)); |
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At(i, j, temp); |
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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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/// <summary>
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/// Indicates whether the current object is equal to another object of the same type.
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/// Permute the columns of a matrix according to a permutation.
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/// </summary>
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/// </summary>
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/// <param name="other">
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/// <param name="p">The column permutation to apply to this matrix.</param>
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/// An object to compare with this object.
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public virtual void PermuteColumns(Permutation p) |
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/// </param>
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/// <returns>
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/// <c>true</c> if the current object is equal to the <paramref name="other"/> parameter; otherwise, <c>false</c>.
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/// </returns>
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|
|
|
public bool Equals(Matrix<T> other) |
|
|
|
|
|
{ |
|
|
{ |
|
|
if (other == null) |
|
|
if (p.Dimension != ColumnCount) |
|
|
{ |
|
|
{ |
|
|
return false; |
|
|
throw new ArgumentException(Resources.ArgumentArraysSameLength, "p"); |
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
return Storage.Equals(other.Storage); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
#endregion
|
|
|
|
|
|
|
|
|
|
|
|
#region IFormattable
|
|
|
|
|
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|
|
/// <summary>
|
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|
|
|
/// Returns a <see cref="System.String"/> that represents this instance.
|
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|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <param name="format">
|
|
|
|
|
|
/// The format to use.
|
|
|
|
|
|
/// </param>
|
|
|
|
|
|
/// <param name="formatProvider">
|
|
|
|
|
|
/// The format provider to use.
|
|
|
|
|
|
/// </param>
|
|
|
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|
|
/// <returns>
|
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|
|
|
|
/// A <see cref="System.String"/> that represents this instance.
|
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|
|
|
|
/// </returns>
|
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|
|
|
|
public virtual string ToString(string format, IFormatProvider formatProvider = null) |
|
|
|
|
|
{ |
|
|
|
|
|
var stringBuilder = new StringBuilder(); |
|
|
|
|
|
for (var row = 0; row < RowCount; row++) |
|
|
|
|
|
{ |
|
|
|
|
|
for (var column = 0; column < ColumnCount; column++) |
|
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|
|
|
{ |
|
|
|
|
|
stringBuilder.Append(At(row, column).ToString(format, formatProvider)); |
|
|
|
|
|
if (column != ColumnCount - 1) |
|
|
|
|
|
{ |
|
|
|
|
|
stringBuilder.Append(formatProvider.GetTextInfo().ListSeparator); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
if (row != RowCount - 1) |
|
|
|
|
|
{ |
|
|
|
|
|
stringBuilder.Append(Environment.NewLine); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
return stringBuilder.ToString(); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
#endregion
|
|
|
|
|
|
|
|
|
|
|
|
#endregion
|
|
|
|
|
|
|
|
|
|
|
|
#region System.Object overrides
|
|
|
|
|
|
|
|
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|
|
/// <summary>
|
|
|
|
|
|
/// Determines whether the specified <see cref="System.Object"/> is equal to this instance.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <param name="obj">The <see cref="System.Object"/> to compare with this instance.</param>
|
|
|
|
|
|
/// <returns>
|
|
|
|
|
|
/// <c>true</c> if the specified <see cref="System.Object"/> is equal to this instance; otherwise, <c>false</c>.
|
|
|
|
|
|
/// </returns>
|
|
|
|
|
|
public override bool Equals(object obj) |
|
|
|
|
|
{ |
|
|
|
|
|
var other = obj as Matrix<T>; |
|
|
|
|
|
return other != null && Storage.Equals(other.Storage); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Returns a hash code for this instance.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <returns>
|
|
|
|
|
|
/// A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.
|
|
|
|
|
|
/// </returns>
|
|
|
|
|
|
public override int GetHashCode() |
|
|
|
|
|
{ |
|
|
|
|
|
return Storage.GetHashCode(); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
#endregion
|
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Returns the transpose of this matrix.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <returns>The transpose of this matrix.</returns>
|
|
|
|
|
|
public virtual Matrix<T> Transpose() |
|
|
|
|
|
{ |
|
|
|
|
|
var ret = CreateMatrix(ColumnCount, RowCount); |
|
|
|
|
|
for (var j = 0; j < ColumnCount; j++) |
|
|
|
|
|
{ |
|
|
|
|
|
for (var i = 0; i < RowCount; i++) |
|
|
|
|
|
{ |
|
|
|
|
|
ret.At(j, i, At(i, j)); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
return ret; |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Returns the conjugate transpose of this matrix.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <returns>The conjugate transpose of this matrix.</returns>
|
|
|
|
|
|
public abstract Matrix<T> ConjugateTranspose(); |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Permute the rows of a matrix according to a permutation.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <param name="p">The row permutation to apply to this matrix.</param>
|
|
|
|
|
|
public virtual void PermuteRows(Permutation p) |
|
|
|
|
|
{ |
|
|
|
|
|
if (p.Dimension != RowCount) |
|
|
|
|
|
{ |
|
|
|
|
|
throw new ArgumentException(Resources.ArgumentArraysSameLength, "p"); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
// Get a sequence of inversions from the permutation.
|
|
|
|
|
|
var inv = p.ToInversions(); |
|
|
|
|
|
|
|
|
|
|
|
for (var i = 0; i < inv.Length; i++) |
|
|
|
|
|
{ |
|
|
|
|
|
if (inv[i] != i) |
|
|
|
|
|
{ |
|
|
|
|
|
var q = inv[i]; |
|
|
|
|
|
for (var j = 0; j < ColumnCount; j++) |
|
|
|
|
|
{ |
|
|
|
|
|
var temp = At(q, j); |
|
|
|
|
|
At(q, j, At(i, j)); |
|
|
|
|
|
At(i, j, temp); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Permute the columns of a matrix according to a permutation.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <param name="p">The column permutation to apply to this matrix.</param>
|
|
|
|
|
|
public virtual void PermuteColumns(Permutation p) |
|
|
|
|
|
{ |
|
|
|
|
|
if (p.Dimension != ColumnCount) |
|
|
|
|
|
{ |
|
|
|
|
|
throw new ArgumentException(Resources.ArgumentArraysSameLength, "p"); |
|
|
|
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
// Get a sequence of inversions from the permutation.
|
|
|
// Get a sequence of inversions from the permutation.
|
|
|
@ -1571,21 +1322,6 @@ namespace MathNet.Numerics.LinearAlgebra.Generic |
|
|
/// <returns>The infinity norm of this matrix.</returns>
|
|
|
/// <returns>The infinity norm of this matrix.</returns>
|
|
|
public abstract T InfinityNorm(); |
|
|
public abstract T InfinityNorm(); |
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Iterates throw each element in the matrix (row-wise).
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <returns>The value at the current iteration along with its position (row, column, value).</returns>
|
|
|
|
|
|
public virtual IEnumerable<Tuple<int, int, T>> IndexedEnumerator() |
|
|
|
|
|
{ |
|
|
|
|
|
for (var row = 0; row < RowCount; row++) |
|
|
|
|
|
{ |
|
|
|
|
|
for (var column = 0; column < ColumnCount; column++) |
|
|
|
|
|
{ |
|
|
|
|
|
yield return new Tuple<int, int, T>(row, column, At(row, column)); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
/// <summary>
|
|
|
/// Gets a value indicating whether this matrix is symmetric.
|
|
|
/// Gets a value indicating whether this matrix is symmetric.
|
|
|
/// </summary>
|
|
|
/// </summary>
|
|
|
@ -1612,5 +1348,240 @@ namespace MathNet.Numerics.LinearAlgebra.Generic |
|
|
return true; |
|
|
return true; |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Returns an <see cref="IEnumerator{T}"/> that enumerates over the matrix columns.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <returns>An <see cref="IEnumerator{T}"/> that enumerates over the matrix columns</returns>
|
|
|
|
|
|
/// <seealso cref="IEnumerator{T}"/>
|
|
|
|
|
|
public virtual IEnumerable<Tuple<int, Vector<T>>> ColumnEnumerator() |
|
|
|
|
|
{ |
|
|
|
|
|
for (var i = 0; i < ColumnCount; i++) |
|
|
|
|
|
{ |
|
|
|
|
|
yield return new Tuple<int, Vector<T>>(i, Column(i)); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Returns an <see cref="IEnumerator{T}"/> that enumerates the requested matrix columns.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <param name="index">The column to start enumerating over.</param>
|
|
|
|
|
|
/// <param name="length">The number of columns to enumerating over.</param>
|
|
|
|
|
|
/// <returns>An <see cref="IEnumerator{T}"/> that enumerates over requested matrix columns.</returns>
|
|
|
|
|
|
/// <seealso cref="IEnumerator{T}"/>
|
|
|
|
|
|
/// <exception cref="ArgumentOutOfRangeException">If:
|
|
|
|
|
|
/// <list><item><paramref name="index"/> is negative,
|
|
|
|
|
|
/// or greater than or equal to the number of columns.</item>
|
|
|
|
|
|
/// <item><c>(index + length) >= Columns.</c></item></list>
|
|
|
|
|
|
/// </exception>
|
|
|
|
|
|
/// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
|
|
|
|
|
|
public virtual IEnumerable<Tuple<int, Vector<T>>> ColumnEnumerator(int index, int length) |
|
|
|
|
|
{ |
|
|
|
|
|
if (index >= ColumnCount || index < 0) |
|
|
|
|
|
{ |
|
|
|
|
|
throw new ArgumentOutOfRangeException("index"); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
if (index + length > ColumnCount) |
|
|
|
|
|
{ |
|
|
|
|
|
throw new ArgumentOutOfRangeException("length"); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
if (length < 1) |
|
|
|
|
|
{ |
|
|
|
|
|
throw new ArgumentException(Resources.ArgumentMustBePositive, "length"); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
var maxIndex = index + length; |
|
|
|
|
|
for (var i = index; i < maxIndex; i++) |
|
|
|
|
|
{ |
|
|
|
|
|
yield return new Tuple<int, Vector<T>>(i, Column(i)); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Returns an <see cref="IEnumerator{T}"/> that enumerates the requested matrix rows.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <param name="index">The row to start enumerating over.</param>
|
|
|
|
|
|
/// <param name="length">The number of rows to enumerating over.</param>
|
|
|
|
|
|
/// <returns>An <see cref="IEnumerator{T}"/> that enumerates over requested matrix rows.</returns>
|
|
|
|
|
|
/// <seealso cref="IEnumerator{T}"/>
|
|
|
|
|
|
/// <exception cref="ArgumentOutOfRangeException">If:
|
|
|
|
|
|
/// <list><item><paramref name="index"/> is negative,
|
|
|
|
|
|
/// or greater than or equal to the number of rows.</item>
|
|
|
|
|
|
/// <item><c>(index + length) >= Rows.</c></item></list></exception>
|
|
|
|
|
|
/// <exception cref="ArgumentException">If <paramref name="length"/> is not positive.</exception>
|
|
|
|
|
|
public virtual IEnumerable<Tuple<int, Vector<T>>> RowEnumerator(int index, int length) |
|
|
|
|
|
{ |
|
|
|
|
|
if (index >= RowCount || index < 0) |
|
|
|
|
|
{ |
|
|
|
|
|
throw new ArgumentOutOfRangeException("index"); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
if (index + length > RowCount) |
|
|
|
|
|
{ |
|
|
|
|
|
throw new ArgumentOutOfRangeException("length"); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
if (length < 1) |
|
|
|
|
|
{ |
|
|
|
|
|
throw new ArgumentException(Resources.ArgumentMustBePositive, "length"); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
var maxi = index + length; |
|
|
|
|
|
for (var i = index; i < maxi; i++) |
|
|
|
|
|
{ |
|
|
|
|
|
yield return new Tuple<int, Vector<T>>(i, Row(i)); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Returns an <see cref="IEnumerator{T}"/> that enumerates over the matrix rows.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <returns>An <see cref="IEnumerator{T}"/> that enumerates over the matrix rows</returns>
|
|
|
|
|
|
/// <seealso cref="IEnumerator{T}"/>
|
|
|
|
|
|
public virtual IEnumerable<Tuple<int, Vector<T>>> RowEnumerator() |
|
|
|
|
|
{ |
|
|
|
|
|
for (var i = 0; i < RowCount; i++) |
|
|
|
|
|
{ |
|
|
|
|
|
yield return new Tuple<int, Vector<T>>(i, Row(i)); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Iterates throw each element in the matrix (row-wise).
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <returns>The value at the current iteration along with its position (row, column, value).</returns>
|
|
|
|
|
|
public virtual IEnumerable<Tuple<int, int, T>> IndexedEnumerator() |
|
|
|
|
|
{ |
|
|
|
|
|
for (var row = 0; row < RowCount; row++) |
|
|
|
|
|
{ |
|
|
|
|
|
for (var column = 0; column < ColumnCount; column++) |
|
|
|
|
|
{ |
|
|
|
|
|
yield return new Tuple<int, int, T>(row, column, At(row, column)); |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Returns this matrix as a multidimensional array.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <returns>A multidimensional containing the values of this matrix.</returns>
|
|
|
|
|
|
public T[,] ToArray() |
|
|
|
|
|
{ |
|
|
|
|
|
return Storage.ToArray(); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
|
|
|
|
|
/// Returns the matrix's elements as an array with the data laid out column-wise.
|
|
|
|
|
|
/// </summary>
|
|
|
|
|
|
/// <example><pre>
|
|
|
|
|
|
/// 1, 2, 3
|
|
|
|
|
|
/// 4, 5, 6 will be returned as 1, 4, 7, 2, 5, 8, 3, 6, 9
|
|
|
|
|
|
/// 7, 8, 9
|
|
|
|
|
|
/// </pre></example>
|
|
|
|
|
|
/// <returns>An array containing the matrix's elements.</returns>
|
|
|
|
|
|
public T[] ToColumnWiseArray() |
|
|
|
|
|
{ |
|
|
|
|
|
return Storage.ToColumnMajorArray(); |
|
|
|
|
|
} |
|
|
|
|
|
|
|
|
|
|
|
/// <summary>
|
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/// Returns the matrix's elements as an array with the data laid row-wise.
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/// </summary>
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/// <example><pre>
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/// 1, 2, 3
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/// 4, 5, 6 will be returned as 1, 2, 3, 4, 5, 6, 7, 8, 9
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/// 7, 8, 9
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/// </pre></example>
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/// <returns>An array containing the matrix's elements.</returns>
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public T[] ToRowWiseArray() |
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{ |
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return Storage.ToRowMajorArray(); |
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} |
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/// <summary>
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/// Returns a <see cref="System.String"/> that represents this instance.
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/// </summary>
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/// <returns>
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/// A <see cref="System.String"/> that represents this instance.
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/// </returns>
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public override string ToString() |
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{ |
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return ToString(null); |
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} |
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/// <summary>
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/// Returns a <see cref="System.String"/> that represents this instance.
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/// </summary>
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/// <param name="format">
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/// The format to use.
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/// </param>
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/// <param name="formatProvider">
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/// The format provider to use.
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/// </param>
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/// <returns>
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/// A <see cref="System.String"/> that represents this instance.
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/// </returns>
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public virtual string ToString(string format, IFormatProvider formatProvider = null) |
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{ |
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var stringBuilder = new StringBuilder(); |
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for (var row = 0; row < RowCount; row++) |
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{ |
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for (var column = 0; column < ColumnCount; column++) |
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{ |
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stringBuilder.Append(At(row, column).ToString(format, formatProvider)); |
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if (column != ColumnCount - 1) |
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{ |
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stringBuilder.Append(formatProvider.GetTextInfo().ListSeparator); |
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} |
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} |
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if (row != RowCount - 1) |
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{ |
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stringBuilder.Append(Environment.NewLine); |
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} |
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} |
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return stringBuilder.ToString(); |
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} |
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/// <summary>
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/// Returns a hash code for this instance.
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/// </summary>
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/// <returns>
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/// A hash code for this instance, suitable for use in hashing algorithms and data structures like a hash table.
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/// </returns>
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public override int GetHashCode() |
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{ |
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return Storage.GetHashCode(); |
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} |
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/// <summary>
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/// Indicates whether the current object is equal to another object of the same type.
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/// </summary>
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/// <param name="other">
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/// An object to compare with this object.
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/// </param>
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/// <returns>
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/// <c>true</c> if the current object is equal to the <paramref name="other"/> parameter; otherwise, <c>false</c>.
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/// </returns>
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|
|
public bool Equals(Matrix<T> other) |
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|
|
{ |
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|
|
return other != null && Storage.Equals(other.Storage); |
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|
} |
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|
/// <summary>
|
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|
|
/// Determines whether the specified <see cref="System.Object"/> is equal to this instance.
|
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|
/// </summary>
|
|
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|
|
/// <param name="obj">The <see cref="System.Object"/> to compare with this instance.</param>
|
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|
|
/// <returns>
|
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|
|
/// <c>true</c> if the specified <see cref="System.Object"/> is equal to this instance; otherwise, <c>false</c>.
|
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|
|
/// </returns>
|
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|
|
public override bool Equals(object obj) |
|
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|
|
{ |
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|
|
var other = obj as Matrix<T>; |
|
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|
|
return other != null && Storage.Equals(other.Storage); |
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|
|
} |
|
|
} |
|
|
} |
|
|
} |
|
|
} |
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|