1 #ifndef VIENNACL_VANDERMONDE_MATRIX_HPP 
    2 #define VIENNACL_VANDERMONDE_MATRIX_HPP 
   43 template<
class NumericT, 
unsigned int AlignmentV>
 
   44 class vandermonde_matrix
 
   64     assert(rows == cols && 
bool(
"Vandermonde matrix must be square in this release!"));
 
   76     elements_.
resize(sz, preserve);
 
  117     return elements_[row_index];
 
  129     assert(row_index < 
size1() && col_index < 
size2() && 
bool(
"Invalid access"));
 
  131     return pow(elements_[row_index], static_cast<int>(col_index));
 
  147 template<
typename NumericT, 
unsigned int AlignmentV>
 
  150   assert(cpu_vec.size() == gpu_mat.size1()  && bool(
"Size mismatch"));
 
  151   copy(cpu_vec, gpu_mat.elements());
 
  160 template<
typename NumericT, 
unsigned int AlignmentV>
 
  163   assert(cpu_vec.size() == gpu_mat.size1() && bool(
"Size mismatch"));
 
  164   copy(gpu_mat.elements(), cpu_vec);
 
  173 template<
typename NumericT, 
unsigned int AlignmentV, 
typename MatrixT>
 
  180   std::vector<NumericT> tmp(size);
 
  181   copy(vander_src, tmp);
 
  185       com_dst(i, j) = std::pow(tmp[i], static_cast<int>(j));
 
  195 template<
typename NumericT, 
unsigned int AlignmentV, 
typename MatrixT>
 
  198   assert( (vander_dst.size1() == 0 || vander_dst.size1() == 
viennacl::traits::size1(com_src)) && 
bool(
"Size mismatch"));
 
  199   assert( (vander_dst.size2() == 0 || vander_dst.size2() == 
viennacl::traits::size2(com_src)) && 
bool(
"Size mismatch"));
 
  202   std::vector<NumericT> tmp(size);
 
  205     tmp[i] = com_src(i, 1);
 
  207   copy(tmp, vander_dst);
 
  224 template<
class NumericT, 
unsigned int AlignmentV>
 
  225 std::ostream & operator<<(std::ostream& s, vandermonde_matrix<NumericT, AlignmentV>& gpu_matrix)
 
  228   std::vector<NumericT> tmp(size);
 
  229   copy(gpu_matrix, tmp);
 
  230   s << 
"[" << size << 
"," << size << 
"](\n";
 
  237       s << pow(tmp[i], static_cast<NumericT>(j));
 
  259   template<
typename T, 
unsigned int A>
 
  260   struct op_executor<vector_base<T>, 
op_assign, vector_expression<const vandermonde_matrix<T, A>, const vector_base<T>, op_prod> >
 
  262     static void apply(vector_base<T> & lhs, vector_expression<
const vandermonde_matrix<T, A>, 
const vector_base<T>, op_prod> 
const & rhs)
 
  276   template<
typename T, 
unsigned int A>
 
  277   struct op_executor<vector_base<T>, op_inplace_add, vector_expression<const vandermonde_matrix<T, A>, const vector_base<T>, op_prod> >
 
  279     static void apply(vector_base<T> & lhs, vector_expression<
const vandermonde_matrix<T, A>, 
const vector_base<T>, op_prod> 
const & rhs)
 
  287   template<
typename T, 
unsigned int A>
 
  288   struct op_executor<vector_base<T>, op_inplace_sub, vector_expression<const vandermonde_matrix<T, A>, const vector_base<T>, op_prod> >
 
  290     static void apply(vector_base<T> & lhs, vector_expression<
const vandermonde_matrix<T, A>, 
const vector_base<T>, op_prod> 
const & rhs)
 
  300   template<
typename T, 
unsigned int A, 
typename LHS, 
typename RHS, 
typename OP>
 
  301   struct op_executor<vector_base<T>, 
op_assign, vector_expression<const vandermonde_matrix<T, A>, const vector_expression<const LHS, const RHS, OP>, op_prod> >
 
  303     static void apply(vector_base<T> & lhs, vector_expression<
const vandermonde_matrix<T, A>, 
const vector_expression<const LHS, const RHS, OP>, op_prod> 
const & rhs)
 
  311   template<
typename T, 
unsigned int A, 
typename LHS, 
typename RHS, 
typename OP>
 
  312   struct op_executor<vector_base<T>, op_inplace_add, vector_expression<const vandermonde_matrix<T, A>, vector_expression<const LHS, const RHS, OP>, op_prod> >
 
  314     static void apply(vector_base<T> & lhs, vector_expression<
const vandermonde_matrix<T, A>, vector_expression<const LHS, const RHS, OP>, op_prod> 
const & rhs)
 
  324   template<
typename T, 
unsigned int A, 
typename LHS, 
typename RHS, 
typename OP>
 
  325   struct op_executor<vector_base<T>, op_inplace_sub, vector_expression<const vandermonde_matrix<T, A>, const vector_expression<const LHS, const RHS, OP>, op_prod> >
 
  327     static void apply(vector_base<T> & lhs, vector_expression<
const vandermonde_matrix<T, A>, 
const vector_expression<const LHS, const RHS, OP>, op_prod> 
const & rhs)
 
  342 #endif // VIENNACL_VANDERMONDE_MATRIX_HPP 
This class represents a single scalar value on the GPU and behaves mostly like a built-in scalar type...
vcl_size_t size1(MatrixType const &mat)
Generic routine for obtaining the number of rows of a matrix (ViennaCL, uBLAS, etc.) 
viennacl::backend::mem_handle handle_type
scalar< typename viennacl::tools::CHECK_SCALAR_TEMPLATE_ARGUMENT< NumericT >::ResultType > value_type
This file provides the forward declarations for the main types used within ViennaCL. 
vandermonde_matrix(vcl_size_t rows, vcl_size_t cols)
Creates the matrix with the given size. 
result_of::size_type< MatrixType >::type size2(MatrixType const &mat)
Generic routine for obtaining the number of columns of a matrix (ViennaCL, uBLAS, etc...
handle_type const & handle() const 
Returns the OpenCL handle. 
A Vandermonde matrix class. 
Implementations of operations using vandermonde_matrix. Experimental. 
vcl_size_t size(VectorType const &vec)
Generic routine for obtaining the size of a vector (ViennaCL, uBLAS, etc.) 
void resize(size_type new_size, bool preserve=true)
Resizes the allocated memory for the vector. Pads the memory to be a multiple of 'AlignmentV'. 
NumericT operator()(vcl_size_t row_index, vcl_size_t col_index) const 
Read access to a element of the matrix. 
entry_proxy< NumericT > operator()(vcl_size_t row_index)
Read-write access to a base element of the matrix. 
Implementations of the OpenCL backend, where all contexts are stored in. 
vcl_size_t internal_size() const 
Returns the internal size of matrix representtion. Usually required for launching OpenCL kernels only...
The vector type with operator-overloads and proxy classes is defined here. Linear algebra operations ...
void copy(std::vector< NumericT > &cpu_vec, circulant_matrix< NumericT, AlignmentV > &gpu_mat)
Copies a circulant matrix from the std::vector to the OpenCL device (either GPU or multi-core CPU) ...
size_type size() const 
Returns the length of the vector (cf. std::vector) 
All routines related to the Fast Fourier Transform. Experimental. 
vcl_size_t size2() const 
Returns the number of columns of the matrix. 
Main abstraction class for multiple memory domains. Represents a buffer in either main RAM...
viennacl::vector< NumericT, AlignmentV > & elements()
Returns an internal viennacl::vector, which represents a Vandermonde matrix elements. 
viennacl::vector< NumericT, AlignmentV > const & elements() const 
vandermonde_matrix()
The default constructor. Does not allocate any memory. 
void resize(vcl_size_t sz, bool preserve=true)
Resizes the matrix. Existing entries can be preserved. 
void prod_impl(const matrix_base< NumericT > &mat, const vector_base< NumericT > &vec, vector_base< NumericT > &result)
Carries out matrix-vector multiplication. 
size_type internal_size() const 
Returns the internal length of the vector, which is given by size() plus the extra memory due to padd...
viennacl::backend::mem_handle & handle(T &obj)
Returns the generic memory handle of an object. Non-const version. 
vcl_size_t size1() const 
Returns the number of rows of the matrix. 
A proxy class for a single element of a vector or matrix. This proxy should not be noticed by end-use...
const handle_type & handle() const 
Returns the memory handle.