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73 lines
2.9 KiB
C++
73 lines
2.9 KiB
C++
/*
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* Copyright (c) Contributors to the Open 3D Engine Project.
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* For complete copyright and license terms please see the LICENSE at the root of this distribution.
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*
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* SPDX-License-Identifier: Apache-2.0 OR MIT
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*
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*/
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#pragma once
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#include <AzCore/base.h>
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#include <AzCore/std/containers/vector.h>
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// This provides just the functionality for arbitrary dimension matrices and vectors that is required by this gem.
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// It is not intended to be a complete or optimized implementation.
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// If we add support for arbitrary dimension matrices or use a third party library, that should replace what is here.
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namespace NumericalMethods
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{
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using ScalarVariable = double;
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//! Class for arbitrary sized vectors, providing only the functionality required by the numerical methods supported
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//! in this gem.
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class VectorVariable
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{
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public:
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VectorVariable() = default;
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explicit VectorVariable(AZ::u32 dimension);
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static VectorVariable CreateFromVector(const AZStd::vector<double>& values);
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AZ::u32 GetDimension() const;
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double& operator[](AZ::u32 index);
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double operator[](AZ::u32 index) const;
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VectorVariable operator+(const VectorVariable& rhs) const;
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VectorVariable operator+=(const VectorVariable& rhs);
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VectorVariable operator-() const;
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VectorVariable operator-(const VectorVariable& rhs) const;
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VectorVariable operator-=(const VectorVariable& rhs);
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VectorVariable operator*(const double rhs) const;
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double Norm() const;
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double Dot(const VectorVariable& rhs) const;
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const AZStd::vector<double>& GetValues() const;
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private:
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AZStd::vector<double> m_values;
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};
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VectorVariable operator*(const double lhs, const VectorVariable& rhs);
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//! Class for arbitrary sized matrices, providing only the functionality required by the numerical methods supported
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//! in this gem.
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class MatrixVariable
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{
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public:
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MatrixVariable() = default;
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MatrixVariable(AZ::u32 numRows, AZ::u32 numColumns);
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double& Element(AZ::u32 row, AZ::u32 column);
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double Element(AZ::u32 row, AZ::u32 column) const;
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AZ::u32 GetNumRows() const;
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AZ::u32 GetNumColumns() const;
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MatrixVariable operator+(const MatrixVariable& rhs) const;
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MatrixVariable operator+=(const MatrixVariable& rhs);
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MatrixVariable operator-(const MatrixVariable& rhs) const;
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MatrixVariable operator/(const double divisor) const;
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private:
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AZStd::vector<double> m_values;
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AZ::u32 m_numRows = 0;
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AZ::u32 m_numColumns = 0;
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};
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VectorVariable operator*(const MatrixVariable& lhs, const VectorVariable& rhs);
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MatrixVariable operator*(const MatrixVariable& lhs, const MatrixVariable& rhs);
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MatrixVariable operator*(double lhs, const MatrixVariable& rhs);
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MatrixVariable OuterProduct(const VectorVariable& x, const VectorVariable& y);
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} // namespace NumericalMethods
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