FDMLinearSystem2.hpp

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// This code is based on Jet framework.
// Copyright (c) 2018 Doyub Kim
// CubbyFlow is voxel-based fluid simulation engine for computer games.
// Copyright (c) 2020 CubbyFlow Team
// Core Part: Chris Ohk, Junwoo Hwang, Jihong Sin, Seungwoo Yoo
// AI Part: Dongheon Cho, Minseo Kim
// We are making my contributions/submissions to this project solely in our
// personal capacity and are not conveying any rights to any intellectual
// property of any third parties.
 
#ifndef CUBBYFLOW_FDM_LINEAR_SYSTEM2_HPP
#define CUBBYFLOW_FDM_LINEAR_SYSTEM2_HPP
 
#include <Core/Array/Array.hpp>
#include <Core/Matrix/Matrix.hpp>
#include <Core/Matrix/MatrixCSR.hpp>
 
namespace CubbyFlow
{
struct FDMMatrixRow2
{
    double center = 0.0;
 
    double right = 0.0;
 
    double up = 0.0;
};
 
using FDMVector2 = Array2<double>;
 
using FDMMatrix2 = Array2<FDMMatrixRow2>;
 
struct FDMLinearSystem2
{
    void Clear();
 
    void Resize(const Vector2UZ& size);
 
    FDMMatrix2 A;
 
    FDMVector2 x;
 
    FDMVector2 b;
};
 
struct FDMCompressedLinearSystem2
{
    void Clear();
 
    MatrixCSRD A;
 
    VectorND x;
 
    VectorND b;
};
 
struct FDMBLAS2
{
    using ScalarType = double;
    using VectorType = FDMVector2;
    using MatrixType = FDMMatrix2;
 
    static void Set(ScalarType s, VectorType* result);
 
    static void Set(const VectorType& v, VectorType* result);
 
    static void Set(ScalarType s, MatrixType* result);
 
    static void Set(const MatrixType& m, MatrixType* result);
 
    static double Dot(const VectorType& a, const VectorType& b);
 
    static void AXPlusY(double a, const VectorType& x, const VectorType& y,
                        VectorType* result);
 
    static void MVM(const MatrixType& m, const VectorType& v,
                    VectorType* result);
 
    static void Residual(const MatrixType& a, const VectorType& x,
                         const VectorType& b, VectorType* result);
 
    [[nodiscard]] static ScalarType L2Norm(const VectorType& v);
 
    [[nodiscard]] static ScalarType LInfNorm(const VectorType& v);
};
 
struct FDMCompressedBLAS2
{
    using ScalarType = double;
    using VectorType = VectorND;
    using MatrixType = MatrixCSRD;
 
    static void Set(ScalarType s, VectorType* result);
 
    static void Set(const VectorType& v, VectorType* result);
 
    static void Set(ScalarType s, MatrixType* result);
 
    static void Set(const MatrixType& m, MatrixType* result);
 
    static double Dot(const VectorType& a, const VectorType& b);
 
    static void AXPlusY(double a, const VectorType& x, const VectorType& y,
                        VectorType* result);
 
    static void MVM(const MatrixType& m, const VectorType& v,
                    VectorType* result);
 
    static void Residual(const MatrixType& a, const VectorType& x,
                         const VectorType& b, VectorType* result);
 
    [[nodiscard]] static ScalarType L2Norm(const VectorType& v);
 
    [[nodiscard]] static ScalarType LInfNorm(const VectorType& v);
};
}  // namespace CubbyFlow
 
#endif