LinAlg.h

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#pragma once
 
#include <cassert>
#include "BaseLib/Error.h"
#include "LinAlgEnums.h"
 
namespace MathLib
{
 
namespace LinAlg
{
 
// Matrix or Vector
 
template<typename MatrixOrVector>
void copy(MatrixOrVector const& x, MatrixOrVector& y)
{
    y = x;
}
 
template<typename MatrixOrVector>
void scale(MatrixOrVector& x, double const a)
{
    x *= a;
}
 
template<typename MatrixOrVector>
void aypx(MatrixOrVector& y, double const a, MatrixOrVector const& x)
{
    y = a*y + x;
}
 
template<typename MatrixOrVector>
void axpy(MatrixOrVector& y, double const a, MatrixOrVector const& x)
{
    y += a*x;
}
 
template<typename MatrixOrVector>
void axpby(MatrixOrVector& y, double const a, double const b, MatrixOrVector const& x)
{
    y = a*x + b*y;
}
 
template<typename MatrixOrVector>
void componentwiseDivide(MatrixOrVector& w,
                         MatrixOrVector const& x, MatrixOrVector const& y);
 
template<typename MatrixOrVector>
double norm1(MatrixOrVector const& x);
 
template<typename MatrixOrVector>
double norm2(MatrixOrVector const& x);
 
template<typename MatrixOrVector>
double normMax(MatrixOrVector const& x);
 
template<typename MatrixOrVector>
double norm(MatrixOrVector const& x, MathLib::VecNormType type)
{
    switch (type) {
        case MathLib::VecNormType::NORM1:
            return norm1(x);
        case MathLib::VecNormType::NORM2:
            return norm2(x);
        case MathLib::VecNormType::INFINITY_N:
            return normMax(x);
        default:
            OGS_FATAL("Invalid norm type given.");
    }
}
 
template <typename Matrix>
void finalizeAssembly(Matrix& /*A*/);
 
// Matrix and Vector
 
template<typename Matrix, typename Vector>
void matMult(Matrix const& A, Vector const& x, Vector& y)
{
    assert(&x != &y);
    y = A*x;
}
 
template<typename Matrix, typename Vector>
void matMultAdd(Matrix const& A, Vector const& v1, Vector const& v2, Vector& v3)
{
    assert(&v1 != &v3);
    v3 = v2 + A*v1;
}
 
}  // namespace LinAlg
}  // namespace MathLib
 
// Global PETScMatrix/PETScVector //////////////////////////////////////////
#ifdef USE_PETSC
 
namespace MathLib {
 
class PETScMatrix;
class PETScVector;
 
namespace LinAlg
{
 
// Vector
 
void setLocalAccessibleVector(PETScVector const& x);
 
void set(PETScVector& x, double const a);
 
void copy(PETScVector const& x, PETScVector& y);
 
void scale(PETScVector& x, double const a);
 
// y = a*y + X
void aypx(PETScVector& y, double const a, PETScVector const& x);
 
// y = a*x + y
void axpy(PETScVector& y, double const a, PETScVector const& x);
 
// y = a*x + y
void axpby(PETScVector& y, double const a, double const b, PETScVector const& x);
 
 
// Matrix
 
void copy(PETScMatrix const& A, PETScMatrix& B);
 
// A = a*A
void scale(PETScMatrix& A, double const a);
 
// Y = a*Y + X
void aypx(PETScMatrix& Y, double const a, PETScMatrix const& X);
 
// Y = a*X + Y
void axpy(PETScMatrix& Y, double const a, PETScMatrix const& X);
 
 
// Matrix and Vector
 
// v3 = A*v1 + v2
void matMult(PETScMatrix const& A, PETScVector const& x, PETScVector& y);
 
// y = A*x
void matMultAdd(PETScMatrix const& A, PETScVector const& v1,
                       PETScVector const& v2, PETScVector& v3);
 
void finalizeAssembly(PETScMatrix& A);
void finalizeAssembly(PETScVector& x);
 
}} // namespaces
 
 
// Sparse global EigenMatrix/EigenVector //////////////////////////////////////////
#else
 
namespace MathLib {
 
class EigenMatrix;
class EigenVector;
 
namespace LinAlg
{
 
// Vector
 
void setLocalAccessibleVector(EigenVector const& x);
 
void set(EigenVector& x, double const a);
 
void copy(EigenVector const& x, EigenVector& y);
 
void scale(EigenVector& x, double const a);
 
// y = a*y + X
void aypx(EigenVector& y, double const a, EigenVector const& x);
 
// y = a*x + y
void axpy(EigenVector& y, double const a, EigenVector const& x);
 
// y = a*x + y
void axpby(EigenVector& y, double const a, double const b, EigenVector const& x);
 
 
// Matrix
 
void copy(EigenMatrix const& A, EigenMatrix& B);
 
// A = a*A
void scale(EigenMatrix& A, double const a);
 
// Y = a*Y + X
void aypx(EigenMatrix& Y, double const a, EigenMatrix const& X);
 
// Y = a*X + Y
void axpy(EigenMatrix& Y, double const a, EigenMatrix const& X);
 
 
// Matrix and Vector
 
// y = A*x
void matMult(EigenMatrix const& A, EigenVector const& x, EigenVector& y);
 
// v3 = A*v1 + v2
void matMultAdd(EigenMatrix const& A, EigenVector const& v1,
                EigenVector const& v2, EigenVector& v3);
 
void finalizeAssembly(EigenMatrix& x);
void finalizeAssembly(EigenVector& A);
 
} // namespace LinAlg
 
} // namespace MathLib
 
#endif