moab::Matrix Namespace Reference

Functions
template<typename Matrix >
Matrix	mmult3 (const Matrix &a, const Matrix &b)
template<typename Matrix >
const Matrix	inverse (const Matrix &d)
template<typename Vector , typename Matrix >
Vector	vector_matrix (const Vector &v, const Matrix &m)
template<typename Vector , typename Matrix >
Vector	matrix_vector (const Matrix &m, const Vector &v)

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Function Documentation

template<typename Matrix >

const Matrix moab::Matrix::inverse

(

const Matrix &

d

)

[inline]

Definition at line 190 of file Matrix3.hpp.

Referenced by moab::element_utility::Spectral_hex_map< moab::Matrix3 >::solve_inverse(), and moab::element_utility::Quadratic_hex_map< moab::Matrix3 >::solve_inverse().

    {
        const double det = 1.0 / determinant3( d );
        return inverse( d, det );
    }

template<typename Vector , typename Matrix >

Vector moab::Matrix::matrix_vector	(	const Matrix &	m,
		const Vector &	v
	)		[inline]

Definition at line 205 of file Matrix3.hpp.

Referenced by moab::operator*(), and test_EigenDecomp().

    {
        Vector res = v;
        res[0]     = v[0] * m( 0, 0 ) + v[1] * m( 0, 1 ) + v[2] * m( 0, 2 );
        res[1]     = v[0] * m( 1, 0 ) + v[1] * m( 1, 1 ) + v[2] * m( 1, 2 );
        res[2]     = v[0] * m( 2, 0 ) + v[1] * m( 2, 1 ) + v[2] * m( 2, 2 );
        return res;
    }

template<typename Matrix >

Matrix moab::Matrix::mmult3	(	const Matrix &	a,
		const Matrix &	b
	)		[inline]

Definition at line 176 of file Matrix3.hpp.

Referenced by moab::operator*().

    {
        return Matrix( a( 0, 0 ) * b( 0, 0 ) + a( 0, 1 ) * b( 1, 0 ) + a( 0, 2 ) * b( 2, 0 ),
                       a( 0, 0 ) * b( 0, 1 ) + a( 0, 1 ) * b( 1, 1 ) + a( 0, 2 ) * b( 2, 1 ),
                       a( 0, 0 ) * b( 0, 2 ) + a( 0, 1 ) * b( 1, 2 ) + a( 0, 2 ) * b( 2, 2 ),
                       a( 1, 0 ) * b( 0, 0 ) + a( 1, 1 ) * b( 1, 0 ) + a( 1, 2 ) * b( 2, 0 ),
                       a( 1, 0 ) * b( 0, 1 ) + a( 1, 1 ) * b( 1, 1 ) + a( 1, 2 ) * b( 2, 1 ),
                       a( 1, 0 ) * b( 0, 2 ) + a( 1, 1 ) * b( 1, 2 ) + a( 1, 2 ) * b( 2, 2 ),
                       a( 2, 0 ) * b( 0, 0 ) + a( 2, 1 ) * b( 1, 0 ) + a( 2, 2 ) * b( 2, 0 ),
                       a( 2, 0 ) * b( 0, 1 ) + a( 2, 1 ) * b( 1, 1 ) + a( 2, 2 ) * b( 2, 1 ),
                       a( 2, 0 ) * b( 0, 2 ) + a( 2, 1 ) * b( 1, 2 ) + a( 2, 2 ) * b( 2, 2 ) );
    }

template<typename Vector , typename Matrix >

Vector moab::Matrix::vector_matrix	(	const Vector &	v,
		const Matrix &	m
	)		[inline]

Definition at line 197 of file Matrix3.hpp.

Referenced by moab::operator*().

    {
        return Vector( v[0] * m( 0, 0 ) + v[1] * m( 1, 0 ) + v[2] * m( 2, 0 ),
                       v[0] * m( 0, 1 ) + v[1] * m( 1, 1 ) + v[2] * m( 2, 1 ),
                       v[0] * m( 0, 2 ) + v[1] * m( 1, 2 ) + v[2] * m( 2, 2 ) );
    }