25bd5d8adb
subrepo: subdir: "deps/juce" merged: "b13f9084e" upstream: origin: "https://github.com/essej/JUCE.git" branch: "sono6good" commit: "b13f9084e" git-subrepo: version: "0.4.3" origin: "https://github.com/ingydotnet/git-subrepo.git" commit: "2f68596"
255 lines
11 KiB
C++
255 lines
11 KiB
C++
/*
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==============================================================================
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This file is part of the JUCE library.
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Copyright (c) 2020 - Raw Material Software Limited
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JUCE is an open source library subject to commercial or open-source
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licensing.
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By using JUCE, you agree to the terms of both the JUCE 6 End-User License
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Agreement and JUCE Privacy Policy (both effective as of the 16th June 2020).
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End User License Agreement: www.juce.com/juce-6-licence
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Privacy Policy: www.juce.com/juce-privacy-policy
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Or: You may also use this code under the terms of the GPL v3 (see
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www.gnu.org/licenses).
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JUCE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL WARRANTIES, WHETHER
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EXPRESSED OR IMPLIED, INCLUDING MERCHANTABILITY AND FITNESS FOR PURPOSE, ARE
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DISCLAIMED.
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==============================================================================
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*/
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namespace juce
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{
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namespace dsp
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{
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/**
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General matrix and vectors class, meant for classic math manipulation such as
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additions, multiplications, and linear systems of equations solving.
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@see LinearAlgebra
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@tags{DSP}
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*/
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template <typename ElementType>
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class Matrix
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{
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public:
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//==============================================================================
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/** Creates a new matrix with a given number of rows and columns. */
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Matrix (size_t numRows, size_t numColumns)
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: rows (numRows), columns (numColumns)
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{
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resize();
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clear();
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}
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/** Creates a new matrix with a given number of rows and columns, with initial
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data coming from an array, stored in row-major order.
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*/
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Matrix (size_t numRows, size_t numColumns, const ElementType* dataPointer)
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: rows (numRows), columns (numColumns)
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{
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resize();
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memcpy (data.getRawDataPointer(), dataPointer, rows * columns * sizeof (ElementType));
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}
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/** Creates a copy of another matrix. */
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Matrix (const Matrix&) = default;
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/** Moves a copy of another matrix. */
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Matrix (Matrix&&) noexcept = default;
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/** Creates a copy of another matrix. */
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Matrix& operator= (const Matrix&) = default;
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/** Moves another matrix into this one */
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Matrix& operator= (Matrix&&) noexcept = default;
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//==============================================================================
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/** Creates the identity matrix */
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static Matrix identity (size_t size);
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/** Creates a Toeplitz Matrix from a vector with a given squared size */
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static Matrix toeplitz (const Matrix& vector, size_t size);
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/** Creates a squared size x size Hankel Matrix from a vector with an optional offset.
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@param vector The vector from which the Hankel matrix should be generated.
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Its number of rows should be at least 2 * (size - 1) + 1
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@param size The size of resulting square matrix.
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@param offset An optional offset into the given vector.
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*/
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static Matrix hankel (const Matrix& vector, size_t size, size_t offset = 0);
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//==============================================================================
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/** Returns the number of rows in the matrix. */
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size_t getNumRows() const noexcept { return rows; }
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/** Returns the number of columns in the matrix. */
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size_t getNumColumns() const noexcept { return columns; }
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/** Returns an Array of 2 integers with the number of rows and columns in the
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matrix.
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*/
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Array<size_t> getSize() const noexcept { return { rows, columns }; }
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/** Fills the contents of the matrix with zeroes. */
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void clear() noexcept { zeromem (data.begin(), (size_t) data.size() * sizeof (ElementType)); }
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//==============================================================================
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/** Swaps the contents of two rows in the matrix and returns a reference to itself. */
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Matrix& swapRows (size_t rowOne, size_t rowTwo) noexcept;
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/** Swaps the contents of two columns in the matrix and returns a reference to itself. */
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Matrix& swapColumns (size_t columnOne, size_t columnTwo) noexcept;
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//==============================================================================
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/** Returns the value of the matrix at a given row and column (for reading). */
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inline ElementType operator() (size_t row, size_t column) const noexcept
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{
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jassert (row < rows && column < columns);
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return data.getReference (static_cast<int> (dataAcceleration.getReference (static_cast<int> (row))) + static_cast<int> (column));
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}
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/** Returns the value of the matrix at a given row and column (for modifying). */
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inline ElementType& operator() (size_t row, size_t column) noexcept
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{
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jassert (row < rows && column < columns);
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return data.getReference (static_cast<int> (dataAcceleration.getReference (static_cast<int> (row))) + static_cast<int> (column));
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}
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/** Returns a pointer to the raw data of the matrix object, ordered in row-major
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order (for modifying).
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*/
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inline ElementType* getRawDataPointer() noexcept { return data.getRawDataPointer(); }
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/** Returns a pointer to the raw data of the matrix object, ordered in row-major
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order (for reading).
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*/
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inline const ElementType* getRawDataPointer() const noexcept { return data.begin(); }
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//==============================================================================
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/** Addition of two matrices */
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inline Matrix& operator+= (const Matrix& other) noexcept { return apply (other, [] (ElementType a, ElementType b) { return a + b; } ); }
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/** Subtraction of two matrices */
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inline Matrix& operator-= (const Matrix& other) noexcept { return apply (other, [] (ElementType a, ElementType b) { return a - b; } ); }
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/** Scalar multiplication */
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inline Matrix& operator*= (ElementType scalar) noexcept
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{
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std::for_each (begin(), end(), [scalar] (ElementType& x) { x *= scalar; });
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return *this;
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}
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/** Addition of two matrices */
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inline Matrix operator+ (const Matrix& other) const { Matrix result (*this); result += other; return result; }
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/** Addition of two matrices */
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inline Matrix operator- (const Matrix& other) const { Matrix result (*this); result -= other; return result; }
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/** Scalar multiplication */
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inline Matrix operator* (ElementType scalar) const { Matrix result (*this); result *= scalar; return result; }
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/** Matrix multiplication */
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Matrix operator* (const Matrix& other) const;
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/** Does a hadarmard product with the receiver and other and stores the result in the receiver */
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inline Matrix& hadarmard (const Matrix& other) noexcept { return apply (other, [] (ElementType a, ElementType b) { return a * b; } ); }
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/** Does a hadarmard product with a and b returns the result. */
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static Matrix hadarmard (const Matrix& a, const Matrix& b) { Matrix result (a); result.hadarmard (b); return result; }
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//==============================================================================
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/** Compare to matrices with a given tolerance */
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static bool compare (const Matrix& a, const Matrix& b, ElementType tolerance = 0) noexcept;
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/* Comparison operator */
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inline bool operator== (const Matrix& other) const noexcept { return compare (*this, other); }
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//==============================================================================
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/** Tells if the matrix is a square matrix */
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bool isSquare() const noexcept { return rows == columns; }
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/** Tells if the matrix is a vector */
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bool isVector() const noexcept { return isOneColumnVector() || isOneRowVector(); }
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/** Tells if the matrix is a one column vector */
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bool isOneColumnVector() const noexcept { return columns == 1; }
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/** Tells if the matrix is a one row vector */
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bool isOneRowVector() const noexcept { return rows == 1; }
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/** Tells if the matrix is a null matrix */
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bool isNullMatrix() const noexcept { return rows == 0 || columns == 0; }
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//==============================================================================
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/** Solves a linear system of equations represented by this object and the argument b,
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using various algorithms depending on the size of the arguments.
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The matrix must be a square matrix N times N, and b must be a vector N times 1,
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with the coefficients of b. After the execution of the algorithm,
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the vector b will contain the solution.
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Returns true if the linear system of equations was successfully solved.
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*/
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bool solve (Matrix& b) const noexcept;
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//==============================================================================
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/** Returns a String displaying in a convenient way the matrix contents. */
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String toString() const;
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//==============================================================================
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ElementType* begin() noexcept { return data.begin(); }
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ElementType* end() noexcept { return data.end(); }
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const ElementType* begin() const noexcept { return &data.getReference (0); }
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const ElementType* end() const noexcept { return begin() + data.size(); }
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private:
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//==============================================================================
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/** Resizes the matrix. */
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void resize()
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{
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data.resize (static_cast<int> (columns * rows));
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dataAcceleration.resize (static_cast<int> (rows));
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for (size_t i = 0; i < rows; ++i)
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dataAcceleration.setUnchecked (static_cast<int> (i), i * columns);
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}
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template <typename BinaryOperation>
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Matrix& apply (const Matrix& other, BinaryOperation binaryOp)
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{
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jassert (rows == other.rows && columns == other.columns);
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auto* dst = getRawDataPointer();
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for (auto src : other)
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{
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*dst = binaryOp (*dst, src);
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++dst;
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}
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return *this;
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}
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//==============================================================================
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Array<ElementType> data;
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Array<size_t> dataAcceleration;
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size_t rows, columns;
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//==============================================================================
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JUCE_LEAK_DETECTOR (Matrix)
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};
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} // namespace dsp
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} // namespace juce
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