// <copyright file="DenseVector.cs" company="Math.NET">
|
// Math.NET Numerics, part of the Math.NET Project
|
// http://numerics.mathdotnet.com
|
// http://github.com/mathnet/mathnet-numerics
|
//
|
// Copyright (c) 2009-2013 Math.NET
|
//
|
// 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.
|
// </copyright>
|
|
using System;
|
using System.Collections.Generic;
|
using System.Diagnostics;
|
using System.Globalization;
|
using System.Linq;
|
using IStation.Numerics.Distributions;
|
using IStation.Numerics.LinearAlgebra.Storage;
|
using IStation.Numerics.Providers.LinearAlgebra;
|
using IStation.Numerics.Threading;
|
|
namespace IStation.Numerics.LinearAlgebra.Double
|
{
|
/// <summary>
|
/// A vector using dense storage.
|
/// </summary>
|
[Serializable]
|
[DebuggerDisplay("DenseVector {" + nameof(Count) + "}-Double")]
|
public class DenseVector : Vector
|
{
|
/// <summary>
|
/// Number of elements
|
/// </summary>
|
readonly int _length;
|
|
/// <summary>
|
/// Gets the vector's data.
|
/// </summary>
|
readonly double[] _values;
|
|
/// <summary>
|
/// Create a new dense vector straight from an initialized vector storage instance.
|
/// The storage is used directly without copying.
|
/// Intended for advanced scenarios where you're working directly with
|
/// storage for performance or interop reasons.
|
/// </summary>
|
public DenseVector(DenseVectorStorage<double> storage)
|
: base(storage)
|
{
|
_length = storage.Length;
|
_values = storage.Data;
|
}
|
|
/// <summary>
|
/// Create a new dense vector with the given length.
|
/// All cells of the vector will be initialized to zero.
|
/// </summary>
|
/// <exception cref="ArgumentException">If length is less than one.</exception>
|
public DenseVector(int length)
|
: this(new DenseVectorStorage<double>(length))
|
{
|
}
|
|
/// <summary>
|
/// Create a new dense vector directly binding to a raw array.
|
/// The array is used directly without copying.
|
/// Very efficient, but changes to the array and the vector will affect each other.
|
/// </summary>
|
public DenseVector(double[] storage)
|
: this(new DenseVectorStorage<double>(storage.Length, storage))
|
{
|
}
|
|
/// <summary>
|
/// Create a new dense vector as a copy of the given other vector.
|
/// This new vector will be independent from the other vector.
|
/// A new memory block will be allocated for storing the vector.
|
/// </summary>
|
public static DenseVector OfVector(Vector<double> vector)
|
{
|
return new DenseVector(DenseVectorStorage<double>.OfVector(vector.Storage));
|
}
|
|
/// <summary>
|
/// Create a new dense vector as a copy of the given array.
|
/// This new vector will be independent from the array.
|
/// A new memory block will be allocated for storing the vector.
|
/// </summary>
|
public static DenseVector OfArray(double[] array)
|
{
|
return new DenseVector(DenseVectorStorage<double>.OfVector(new DenseVectorStorage<double>(array.Length, array)));
|
}
|
|
/// <summary>
|
/// Create a new dense vector as a copy of the given enumerable.
|
/// This new vector will be independent from the enumerable.
|
/// A new memory block will be allocated for storing the vector.
|
/// </summary>
|
public static DenseVector OfEnumerable(IEnumerable<double> enumerable)
|
{
|
return new DenseVector(DenseVectorStorage<double>.OfEnumerable(enumerable));
|
}
|
|
/// <summary>
|
/// Create a new dense vector as a copy of the given indexed enumerable.
|
/// Keys must be provided at most once, zero is assumed if a key is omitted.
|
/// This new vector will be independent from the enumerable.
|
/// A new memory block will be allocated for storing the vector.
|
/// </summary>
|
public static DenseVector OfIndexedEnumerable(int length, IEnumerable<Tuple<int,double>> enumerable)
|
{
|
return new DenseVector(DenseVectorStorage<double>.OfIndexedEnumerable(length, enumerable));
|
}
|
|
/// <summary>
|
/// Create a new dense vector and initialize each value using the provided value.
|
/// </summary>
|
public static DenseVector Create(int length, double value)
|
{
|
if (value == 0d) return new DenseVector(length);
|
return new DenseVector(DenseVectorStorage<double>.OfValue(length, value));
|
}
|
|
/// <summary>
|
/// Create a new dense vector and initialize each value using the provided init function.
|
/// </summary>
|
public static DenseVector Create(int length, Func<int, double> init)
|
{
|
return new DenseVector(DenseVectorStorage<double>.OfInit(length, init));
|
}
|
|
/// <summary>
|
/// Create a new dense vector with values sampled from the provided random distribution.
|
/// </summary>
|
public static DenseVector CreateRandom(int length, IContinuousDistribution distribution)
|
{
|
var samples = Generate.Random(length, distribution);
|
return new DenseVector(new DenseVectorStorage<double>(length, samples));
|
}
|
|
/// <summary>
|
/// Gets the vector's data.
|
/// </summary>
|
/// <value>The vector's data.</value>
|
public double[] Values => _values;
|
|
/// <summary>
|
/// Returns a reference to the internal data structure.
|
/// </summary>
|
/// <param name="vector">The <c>DenseVector</c> whose internal data we are
|
/// returning.</param>
|
/// <returns>
|
/// A reference to the internal date of the given vector.
|
/// </returns>
|
public static explicit operator double[](DenseVector vector)
|
{
|
if (vector == null)
|
{
|
throw new ArgumentNullException(nameof(vector));
|
}
|
|
return vector.Values;
|
}
|
|
/// <summary>
|
/// Returns a vector bound directly to a reference of the provided array.
|
/// </summary>
|
/// <param name="array">The array to bind to the <c>DenseVector</c> object.</param>
|
/// <returns>
|
/// A <c>DenseVector</c> whose values are bound to the given array.
|
/// </returns>
|
public static implicit operator DenseVector(double[] array)
|
{
|
if (array == null)
|
{
|
throw new ArgumentNullException(nameof(array));
|
}
|
|
return new DenseVector(array);
|
}
|
|
/// <summary>
|
/// Adds a scalar to each element of the vector and stores the result in the result vector.
|
/// </summary>
|
/// <param name="scalar">The scalar to add.</param>
|
/// <param name="result">The vector to store the result of the addition.</param>
|
protected override void DoAdd(double scalar, Vector<double> result)
|
{
|
if (result is DenseVector dense)
|
{
|
CommonParallel.For(0, _values.Length, 4096, (a, b) =>
|
{
|
for (int i = a; i < b; i++)
|
{
|
dense._values[i] = _values[i] + scalar;
|
}
|
});
|
}
|
else
|
{
|
base.DoAdd(scalar, result);
|
}
|
}
|
|
/// <summary>
|
/// Adds another vector to this vector and stores the result into the result vector.
|
/// </summary>
|
/// <param name="other">The vector to add to this one.</param>
|
/// <param name="result">The vector to store the result of the addition.</param>
|
protected override void DoAdd(Vector<double> other, Vector<double> result)
|
{
|
if (other is DenseVector otherDense && result is DenseVector resultDense)
|
{
|
LinearAlgebraControl.Provider.AddArrays(_values, otherDense._values, resultDense._values);
|
}
|
else
|
{
|
base.DoAdd(other, result);
|
}
|
}
|
|
/// <summary>
|
/// Adds two <strong>Vectors</strong> together and returns the results.
|
/// </summary>
|
/// <param name="leftSide">One of the vectors to add.</param>
|
/// <param name="rightSide">The other vector to add.</param>
|
/// <returns>The result of the addition.</returns>
|
/// <exception cref="ArgumentException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> are not the same size.</exception>
|
/// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
|
public static DenseVector operator +(DenseVector leftSide, DenseVector rightSide)
|
{
|
if (rightSide == null)
|
{
|
throw new ArgumentNullException(nameof(rightSide));
|
}
|
|
if (leftSide == null)
|
{
|
throw new ArgumentNullException(nameof(leftSide));
|
}
|
|
if (leftSide.Count != rightSide.Count)
|
{
|
throw new ArgumentException("All vectors must have the same dimensionality.", nameof(rightSide));
|
}
|
|
return (DenseVector)leftSide.Add(rightSide);
|
}
|
|
/// <summary>
|
/// Subtracts a scalar from each element of the vector and stores the result in the result vector.
|
/// </summary>
|
/// <param name="scalar">The scalar to subtract.</param>
|
/// <param name="result">The vector to store the result of the subtraction.</param>
|
protected override void DoSubtract(double scalar, Vector<double> result)
|
{
|
if (result is DenseVector dense)
|
{
|
CommonParallel.For(0, _values.Length, 4096, (a, b) =>
|
{
|
for (int i = a; i < b; i++)
|
{
|
dense._values[i] = _values[i] - scalar;
|
}
|
});
|
}
|
else
|
{
|
base.DoSubtract(scalar, result);
|
}
|
}
|
|
/// <summary>
|
/// Subtracts another vector to this vector and stores the result into the result vector.
|
/// </summary>
|
/// <param name="other">The vector to subtract from this one.</param>
|
/// <param name="result">The vector to store the result of the subtraction.</param>
|
protected override void DoSubtract(Vector<double> other, Vector<double> result)
|
{
|
if (other is DenseVector otherDense && result is DenseVector resultDense)
|
{
|
LinearAlgebraControl.Provider.SubtractArrays(_values, otherDense._values, resultDense._values);
|
}
|
else
|
{
|
base.DoSubtract(other, result);
|
}
|
}
|
|
/// <summary>
|
/// Returns a <strong>Vector</strong> containing the negated values of <paramref name="rightSide"/>.
|
/// </summary>
|
/// <param name="rightSide">The vector to get the values from.</param>
|
/// <returns>A vector containing the negated values as <paramref name="rightSide"/>.</returns>
|
/// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
|
public static DenseVector operator -(DenseVector rightSide)
|
{
|
if (rightSide == null)
|
{
|
throw new ArgumentNullException(nameof(rightSide));
|
}
|
|
return (DenseVector)rightSide.Negate();
|
}
|
|
/// <summary>
|
/// Subtracts two <strong>Vectors</strong> and returns the results.
|
/// </summary>
|
/// <param name="leftSide">The vector to subtract from.</param>
|
/// <param name="rightSide">The vector to subtract.</param>
|
/// <returns>The result of the subtraction.</returns>
|
/// <exception cref="ArgumentException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> are not the same size.</exception>
|
/// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
|
public static DenseVector operator -(DenseVector leftSide, DenseVector rightSide)
|
{
|
if (leftSide == null)
|
{
|
throw new ArgumentNullException(nameof(leftSide));
|
}
|
|
return (DenseVector)leftSide.Subtract(rightSide);
|
}
|
|
/// <summary>
|
/// Negates vector and saves result to <paramref name="result"/>
|
/// </summary>
|
/// <param name="result">Target vector</param>
|
protected override void DoNegate(Vector<double> result)
|
{
|
if (result is DenseVector denseResult)
|
{
|
LinearAlgebraControl.Provider.ScaleArray(-1.0d, _values, denseResult.Values);
|
}
|
else
|
{
|
base.DoNegate(result);
|
}
|
}
|
|
/// <summary>
|
/// Multiplies a scalar to each element of the vector and stores the result in the result vector.
|
/// </summary>
|
/// <param name="scalar">The scalar to multiply.</param>
|
/// <param name="result">The vector to store the result of the multiplication.</param>
|
/// <remarks></remarks>
|
protected override void DoMultiply(double scalar, Vector<double> result)
|
{
|
if (result is DenseVector denseResult)
|
{
|
LinearAlgebraControl.Provider.ScaleArray(scalar, _values, denseResult.Values);
|
}
|
else
|
{
|
base.DoMultiply(scalar, result);
|
}
|
}
|
|
/// <summary>
|
/// Computes the dot product between this vector and another vector.
|
/// </summary>
|
/// <param name="other">The other vector.</param>
|
/// <returns>The sum of a[i]*b[i] for all i.</returns>
|
protected override double DoDotProduct(Vector<double> other)
|
{
|
return other is DenseVector denseVector
|
? LinearAlgebraControl.Provider.DotProduct(_values, denseVector.Values)
|
: base.DoDotProduct(other);
|
}
|
|
/// <summary>
|
/// Multiplies a vector with a scalar.
|
/// </summary>
|
/// <param name="leftSide">The vector to scale.</param>
|
/// <param name="rightSide">The scalar value.</param>
|
/// <returns>The result of the multiplication.</returns>
|
/// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> is <see langword="null" />.</exception>
|
public static DenseVector operator *(DenseVector leftSide, double rightSide)
|
{
|
if (leftSide == null)
|
{
|
throw new ArgumentNullException(nameof(leftSide));
|
}
|
|
return (DenseVector)leftSide.Multiply(rightSide);
|
}
|
|
/// <summary>
|
/// Multiplies a vector with a scalar.
|
/// </summary>
|
/// <param name="leftSide">The scalar value.</param>
|
/// <param name="rightSide">The vector to scale.</param>
|
/// <returns>The result of the multiplication.</returns>
|
/// <exception cref="ArgumentNullException">If <paramref name="rightSide"/> is <see langword="null" />.</exception>
|
public static DenseVector operator *(double leftSide, DenseVector rightSide)
|
{
|
if (rightSide == null)
|
{
|
throw new ArgumentNullException(nameof(rightSide));
|
}
|
|
return (DenseVector)rightSide.Multiply(leftSide);
|
}
|
|
/// <summary>
|
/// Computes the dot product between two <strong>Vectors</strong>.
|
/// </summary>
|
/// <param name="leftSide">The left row vector.</param>
|
/// <param name="rightSide">The right column vector.</param>
|
/// <returns>The dot product between the two vectors.</returns>
|
/// <exception cref="ArgumentException">If <paramref name="leftSide"/> and <paramref name="rightSide"/> are not the same size.</exception>
|
/// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> or <paramref name="rightSide"/> is <see langword="null" />.</exception>
|
public static double operator *(DenseVector leftSide, DenseVector rightSide)
|
{
|
if (leftSide == null)
|
{
|
throw new ArgumentNullException(nameof(leftSide));
|
}
|
|
return leftSide.DotProduct(rightSide);
|
}
|
|
/// <summary>
|
/// Divides a vector with a scalar.
|
/// </summary>
|
/// <param name="leftSide">The vector to divide.</param>
|
/// <param name="rightSide">The scalar value.</param>
|
/// <returns>The result of the division.</returns>
|
/// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> is <see langword="null" />.</exception>
|
public static DenseVector operator /(DenseVector leftSide, double rightSide)
|
{
|
if (leftSide == null)
|
{
|
throw new ArgumentNullException(nameof(leftSide));
|
}
|
|
return (DenseVector)leftSide.Divide(rightSide);
|
}
|
|
/// <summary>
|
/// Computes the canonical modulus, where the result has the sign of the divisor,
|
/// for each element of the vector for the given divisor.
|
/// </summary>
|
/// <param name="divisor">The divisor to use.</param>
|
/// <param name="result">A vector to store the results in.</param>
|
protected override void DoModulus(double divisor, Vector<double> result)
|
{
|
if (result is DenseVector dense)
|
{
|
CommonParallel.For(0, _length, 4096, (a, b) =>
|
{
|
for (int i = a; i < b; i++)
|
{
|
dense._values[i] = Euclid.Modulus(_values[i], divisor);
|
}
|
});
|
}
|
else
|
{
|
base.DoModulus(divisor, result);
|
}
|
}
|
|
/// <summary>
|
/// Computes the remainder (% operator), where the result has the sign of the dividend,
|
/// for each element of the vector for the given divisor.
|
/// </summary>
|
/// <param name="divisor">The divisor to use.</param>
|
/// <param name="result">A vector to store the results in.</param>
|
protected override void DoRemainder(double divisor, Vector<double> result)
|
{
|
if (result is DenseVector dense)
|
{
|
CommonParallel.For(0, _length, 4096, (a, b) =>
|
{
|
for (int i = a; i < b; i++)
|
{
|
dense._values[i] = _values[i] % divisor;
|
}
|
});
|
}
|
else
|
{
|
base.DoRemainder(divisor, result);
|
}
|
}
|
|
/// <summary>
|
/// Computes the remainder (% operator), where the result has the sign of the dividend,
|
/// of each element of the vector of the given divisor.
|
/// </summary>
|
/// <param name="leftSide">The vector whose elements we want to compute the remainder of.</param>
|
/// <param name="rightSide">The divisor to use,</param>
|
/// <exception cref="ArgumentNullException">If <paramref name="leftSide"/> is <see langword="null" />.</exception>
|
public static DenseVector operator %(DenseVector leftSide, double rightSide)
|
{
|
if (leftSide == null)
|
{
|
throw new ArgumentNullException(nameof(leftSide));
|
}
|
|
return (DenseVector)leftSide.Remainder(rightSide);
|
}
|
|
/// <summary>
|
/// Returns the index of the absolute minimum element.
|
/// </summary>
|
/// <returns>The index of absolute minimum element.</returns>
|
public override int AbsoluteMinimumIndex()
|
{
|
var index = 0;
|
var min = Math.Abs(_values[index]);
|
for (var i = 1; i < _length; i++)
|
{
|
var test = Math.Abs(_values[i]);
|
if (test < min)
|
{
|
index = i;
|
min = test;
|
}
|
}
|
|
return index;
|
}
|
|
/// <summary>
|
/// Returns the index of the absolute maximum element.
|
/// </summary>
|
/// <returns>The index of absolute maximum element.</returns>
|
public override int AbsoluteMaximumIndex()
|
{
|
var index = 0;
|
var max = Math.Abs(_values[index]);
|
for (var i = 1; i < _length; i++)
|
{
|
var test = Math.Abs(_values[i]);
|
if (test > max)
|
{
|
index = i;
|
max = test;
|
}
|
}
|
|
return index;
|
}
|
|
/// <summary>
|
/// Returns the index of the maximum element.
|
/// </summary>
|
/// <returns>The index of maximum element.</returns>
|
public override int MaximumIndex()
|
{
|
var index = 0;
|
var max = _values[0];
|
for (var i = 1; i < _length; i++)
|
{
|
if (max < _values[i])
|
{
|
index = i;
|
max = _values[i];
|
}
|
}
|
|
return index;
|
}
|
|
/// <summary>
|
/// Returns the index of the minimum element.
|
/// </summary>
|
/// <returns>The index of minimum element.</returns>
|
public override int MinimumIndex()
|
{
|
var index = 0;
|
var min = _values[0];
|
for (var i = 1; i < _length; i++)
|
{
|
if (min > _values[i])
|
{
|
index = i;
|
min = _values[i];
|
}
|
}
|
|
return index;
|
}
|
|
/// <summary>
|
/// Computes the sum of the vector's elements.
|
/// </summary>
|
/// <returns>The sum of the vector's elements.</returns>
|
public override double Sum()
|
{
|
var sum = 0.0;
|
for (var index = 0; index < _length; index++)
|
{
|
sum += _values[index];
|
}
|
return sum;
|
}
|
|
/// <summary>
|
/// Calculates the L1 norm of the vector, also known as Manhattan norm.
|
/// </summary>
|
/// <returns>The sum of the absolute values.</returns>
|
public override double L1Norm()
|
{
|
var sum = 0d;
|
for (var index = 0; index < _length; index++)
|
{
|
sum += Math.Abs(_values[index]);
|
}
|
return sum;
|
}
|
|
/// <summary>
|
/// Calculates the L2 norm of the vector, also known as Euclidean norm.
|
/// </summary>
|
/// <returns>The square root of the sum of the squared values.</returns>
|
public override double L2Norm()
|
{
|
// TODO: native provider
|
return _values.Aggregate(0d, SpecialFunctions.Hypotenuse);
|
}
|
|
/// <summary>
|
/// Calculates the infinity norm of the vector.
|
/// </summary>
|
/// <returns>The maximum absolute value.</returns>
|
public override double InfinityNorm()
|
{
|
return CommonParallel.Aggregate(_values, (i, v) => Math.Abs(v), Math.Max, 0d);
|
}
|
|
/// <summary>
|
/// Computes the p-Norm.
|
/// </summary>
|
/// <param name="p">The p value.</param>
|
/// <returns>Scalar <c>ret = ( ∑|this[i]|^p )^(1/p)</c></returns>
|
public override double Norm(double p)
|
{
|
if (p < 0d) throw new ArgumentOutOfRangeException(nameof(p));
|
|
if (p == 1d) return L1Norm();
|
if (p == 2d) return L2Norm();
|
if (double.IsPositiveInfinity(p)) return InfinityNorm();
|
|
var sum = 0d;
|
for (var index = 0; index < _length; index++)
|
{
|
sum += Math.Pow(Math.Abs(_values[index]), p);
|
}
|
return Math.Pow(sum, 1.0 / p);
|
}
|
|
/// <summary>
|
/// Pointwise divide this vector with another vector and stores the result into the result vector.
|
/// </summary>
|
/// <param name="other">The vector to pointwise divide this one by.</param>
|
/// <param name="result">The vector to store the result of the pointwise division.</param>
|
protected override void DoPointwiseMultiply(Vector<double> other, Vector<double> result)
|
{
|
if (other is DenseVector denseOther && result is DenseVector denseResult)
|
{
|
LinearAlgebraControl.Provider.PointWiseMultiplyArrays(_values, denseOther._values, denseResult._values);
|
}
|
else
|
{
|
base.DoPointwiseMultiply(other, result);
|
}
|
}
|
|
/// <summary>
|
/// Pointwise divide this vector with another vector and stores the result into the result vector.
|
/// </summary>
|
/// <param name="divisor">The vector to pointwise divide this one by.</param>
|
/// <param name="result">The vector to store the result of the pointwise division.</param>
|
/// <remarks></remarks>
|
protected override void DoPointwiseDivide(Vector<double> divisor, Vector<double> result)
|
{
|
if (divisor is DenseVector denseOther && result is DenseVector denseResult)
|
{
|
LinearAlgebraControl.Provider.PointWiseDivideArrays(_values, denseOther._values, denseResult._values);
|
}
|
else
|
{
|
base.DoPointwiseDivide(divisor, result);
|
}
|
}
|
|
/// <summary>
|
/// Pointwise raise this vector to an exponent vector and store the result into the result vector.
|
/// </summary>
|
/// <param name="exponent">The exponent vector to raise this vector values to.</param>
|
/// <param name="result">The vector to store the result of the pointwise power.</param>
|
protected override void DoPointwisePower(Vector<double> exponent, Vector<double> result)
|
{
|
if (exponent is DenseVector denseExponent && result is DenseVector denseResult)
|
{
|
LinearAlgebraControl.Provider.PointWisePowerArrays(_values, denseExponent._values, denseResult._values);
|
}
|
else
|
{
|
base.DoPointwisePower(exponent, result);
|
}
|
}
|
|
#region Parse Functions
|
|
/// <summary>
|
/// Creates a double dense vector based on a string. The string can be in the following formats (without the
|
/// quotes): 'n', 'n,n,..', '(n,n,..)', '[n,n,...]', where n is a double.
|
/// </summary>
|
/// <returns>
|
/// A double dense vector containing the values specified by the given string.
|
/// </returns>
|
/// <param name="value">
|
/// the string to parse.
|
/// </param>
|
/// <param name="formatProvider">
|
/// An <see cref="IFormatProvider"/> that supplies culture-specific formatting information.
|
/// </param>
|
public static DenseVector Parse(string value, IFormatProvider formatProvider = null)
|
{
|
if (value == null)
|
{
|
throw new ArgumentNullException(nameof(value));
|
}
|
|
value = value.Trim();
|
if (value.Length == 0)
|
{
|
throw new FormatException();
|
}
|
|
// strip out parens
|
if (value.StartsWith("(", StringComparison.Ordinal))
|
{
|
if (!value.EndsWith(")", StringComparison.Ordinal))
|
{
|
throw new FormatException();
|
}
|
|
value = value.Substring(1, value.Length - 2).Trim();
|
}
|
|
if (value.StartsWith("[", StringComparison.Ordinal))
|
{
|
if (!value.EndsWith("]", StringComparison.Ordinal))
|
{
|
throw new FormatException();
|
}
|
|
value = value.Substring(1, value.Length - 2).Trim();
|
}
|
|
// parsing
|
var tokens = value.Split(new[] {formatProvider.GetTextInfo().ListSeparator, " ", "\t"}, StringSplitOptions.RemoveEmptyEntries);
|
var data = tokens.Select(t => double.Parse(t, NumberStyles.Any, formatProvider)).ToArray();
|
if (data.Length == 0) throw new FormatException();
|
return new DenseVector(data);
|
}
|
|
/// <summary>
|
/// Converts the string representation of a real dense vector to double-precision dense vector equivalent.
|
/// A return value indicates whether the conversion succeeded or failed.
|
/// </summary>
|
/// <param name="value">
|
/// A string containing a real vector to convert.
|
/// </param>
|
/// <param name="result">
|
/// The parsed value.
|
/// </param>
|
/// <returns>
|
/// If the conversion succeeds, the result will contain a complex number equivalent to value.
|
/// Otherwise the result will be <c>null</c>.
|
/// </returns>
|
public static bool TryParse(string value, out DenseVector result)
|
{
|
return TryParse(value, null, out result);
|
}
|
|
/// <summary>
|
/// Converts the string representation of a real dense vector to double-precision dense vector equivalent.
|
/// A return value indicates whether the conversion succeeded or failed.
|
/// </summary>
|
/// <param name="value">
|
/// A string containing a real vector to convert.
|
/// </param>
|
/// <param name="formatProvider">
|
/// An <see cref="IFormatProvider"/> that supplies culture-specific formatting information about value.
|
/// </param>
|
/// <param name="result">
|
/// The parsed value.
|
/// </param>
|
/// <returns>
|
/// If the conversion succeeds, the result will contain a complex number equivalent to value.
|
/// Otherwise the result will be <c>null</c>.
|
/// </returns>
|
public static bool TryParse(string value, IFormatProvider formatProvider, out DenseVector result)
|
{
|
bool ret;
|
try
|
{
|
result = Parse(value, formatProvider);
|
ret = true;
|
}
|
catch (ArgumentNullException)
|
{
|
result = null;
|
ret = false;
|
}
|
catch (FormatException)
|
{
|
result = null;
|
ret = false;
|
}
|
|
return ret;
|
}
|
|
#endregion
|
}
|
}
|