2019-11-03 15:54:17 +01:00
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#include <gsl/gsl_math.h>
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#include <gsl/gsl_eigen.h>
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2020-04-04 23:59:13 +02:00
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#include <math/vec3.hh>
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2019-11-03 15:54:17 +01:00
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template<typename T>
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2020-03-29 14:45:43 +02:00
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class mat3_t{
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protected:
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std::array<T,9> data_;
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gsl_matrix_view m_;
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gsl_vector *eval_;
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gsl_matrix *evec_;
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gsl_eigen_symmv_workspace * wsp_;
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bool bdid_alloc_gsl_;
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void init_gsl(){
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// allocate memory for GSL operations if we haven't done so yet
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if( !bdid_alloc_gsl_ )
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{
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m_ = gsl_matrix_view_array (&data_[0], 3, 3);
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eval_ = gsl_vector_alloc (3);
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evec_ = gsl_matrix_alloc (3, 3);
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wsp_ = gsl_eigen_symmv_alloc (3);
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bdid_alloc_gsl_ = true;
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}
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2019-11-03 15:54:17 +01:00
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}
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void free_gsl(){
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// free memory for GSL operations if it was allocated
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if( bdid_alloc_gsl_ )
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{
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gsl_eigen_symmv_free (wsp_);
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gsl_vector_free (eval_);
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gsl_matrix_free (evec_);
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}
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2019-11-03 15:54:17 +01:00
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}
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public:
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mat3_t()
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: bdid_alloc_gsl_(false)
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{}
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//! copy constructor
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mat3_t( const mat3_t<T> &m)
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: data_(m.data_), bdid_alloc_gsl_(false)
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{}
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//! move constructor
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mat3_t( mat3_t<T> &&m)
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: data_(std::move(m.data_)), bdid_alloc_gsl_(false)
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{}
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2020-03-29 14:45:43 +02:00
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//! construct mat3_t from initializer list
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template<typename ...E>
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mat3_t(E&&...e)
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: data_{{std::forward<E>(e)...}}, bdid_alloc_gsl_(false)
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{}
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mat3_t<T>& operator=(const mat3_t<T>& m) noexcept{
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data_ = m.data_;
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return *this;
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}
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2020-03-29 14:45:43 +02:00
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mat3_t<T>& operator=(const mat3_t<T>&& m) noexcept{
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data_ = std::move(m.data_);
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return *this;
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}
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//! destructor
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~mat3_t(){
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this->free_gsl();
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}
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//! bracket index access to vector components
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T &operator[](size_t i) noexcept { return data_[i];}
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//! const bracket index access to vector components
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const T &operator[](size_t i) const noexcept { return data_[i]; }
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//! matrix 2d index access
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T &operator()(size_t i, size_t j) noexcept { return data_[3*i+j]; }
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//! const matrix 2d index access
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const T &operator()(size_t i, size_t j) const noexcept { return data_[3*i+j]; }
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//! in-place addition
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mat3_t<T>& operator+=( const mat3_t<T>& rhs ) noexcept{
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for (size_t i = 0; i < 9; ++i) {
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(*this)[i] += rhs[i];
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}
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return *this;
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}
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//! in-place subtraction
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mat3_t<T>& operator-=( const mat3_t<T>& rhs ) noexcept{
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for (size_t i = 0; i < 9; ++i) {
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(*this)[i] -= rhs[i];
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}
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return *this;
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}
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void zero() noexcept{
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for (size_t i = 0; i < 9; ++i) data_[i]=0;
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}
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2020-03-29 14:45:43 +02:00
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void eigen( vec3_t<T>& evals, vec3_t<T>& evec1, vec3_t<T>& evec2, vec3_t<T>& evec3_t )
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{
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this->init_gsl();
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2019-11-03 15:54:17 +01:00
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gsl_eigen_symmv (&m_.matrix, eval_, evec_, wsp_);
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gsl_eigen_symmv_sort (eval_, evec_, GSL_EIGEN_SORT_VAL_ASC);
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for( int i=0; i<3; ++i ){
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evals[i] = gsl_vector_get( eval_, i );
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evec1[i] = gsl_matrix_get( evec_, i, 0 );
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evec2[i] = gsl_matrix_get( evec_, i, 1 );
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evec3_t[i] = gsl_matrix_get( evec_, i, 2 );
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}
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}
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};
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template<typename T>
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constexpr const mat3_t<T> operator+(const mat3_t<T> &lhs, const mat3_t<T> &rhs) noexcept
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{
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mat3_t<T> result;
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for (size_t i = 0; i < 9; ++i) {
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result[i] = lhs[i] + rhs[i];
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}
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return result;
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}
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// matrix - vector multiplication
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template<typename T>
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inline vec3_t<T> operator*( const mat3_t<T> &A, const vec3_t<T> &v ) noexcept
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{
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vec3_t<T> result;
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for( int mu=0; mu<3; ++mu ){
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result[mu] = 0.0;
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for( int nu=0; nu<3; ++nu ){
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result[mu] += A(mu,nu)*v[nu];
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}
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}
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return result;
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}
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2019-12-02 01:04:03 +01:00
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