/* -*- C++ -*- ------------------------------------------------------------
 
Copyright (c) 2007 Jesse Anders and Demian Nave http://cmldev.net/

The Configurable Math Library (CML) is distributed under the terms of the
Boost Software License, v1.0 (see cml/LICENSE for details).

 *-----------------------------------------------------------------------*/
/** @file
 *  @brief
 */

#ifndef external_matrix_h
#define external_matrix_h

#include <cml/core/external_2D.h>
#include <cml/matrix/matrix_expr.h>
#include <cml/matrix/class_ops.h>
#include <cml/matrix/matrix_unroller.h>
#include <cml/matrix/dynamic.h>

namespace cml {

/** Fixed-size, external-memory matrix. */
template<typename Element, int Rows, int Cols,
    typename BasisOrient, typename Layout>
class matrix<Element,external<Rows,Cols>,BasisOrient,Layout>
: public external_2D<Element,Rows,Cols,Layout>
{
  public:

    /* Shorthand for the generator: */
    typedef external<Rows,Cols> generator_type;

    /* Shorthand for the array type: */
    typedef external_2D<Element,Rows,Cols,Layout> array_type;

    /* Shorthand for the type of this matrix: */
    typedef matrix<Element,generator_type,BasisOrient,Layout> matrix_type;

    /* For integration into the expression template code: */
    typedef matrix_type expr_type;

    /* For integration into the expression template code: */
    typedef matrix<Element,fixed<Rows,Cols>,BasisOrient,Layout> temporary_type;
    /* Note: this ensures that an external matrix is copied into the proper
     * temporary; external<> temporaries are not allowed.
     */

    /* Standard: */
    typedef typename array_type::value_type value_type;
    typedef typename array_type::reference reference;
    typedef typename array_type::const_reference const_reference;

    typedef matrix_type& expr_reference;
    typedef const matrix_type& expr_const_reference;

    /* For matching by basis: */
    typedef BasisOrient basis_orient;

    /* For matching by memory layout: */
    typedef typename array_type::layout layout;

    /* For matching by storage type if necessary: */
    typedef typename array_type::memory_tag memory_tag;

    /* For matching by size type if necessary: */
    typedef typename array_type::size_tag size_tag;

    /* For matching by resizability: */
    typedef typename array_type::resizing_tag resizing_tag;

    /* For matching by result-type: */
    typedef cml::et::matrix_result_tag result_tag;

    /* For matching by assignability: */
    typedef cml::et::assignable_tag assignable_tag;

    /* To simplify the matrix transpose operator: */
    typedef matrix<
        typename cml::remove_const<Element>::type,
        typename array_type::transposed_type::generator_type,
        BasisOrient,
        Layout
    > transposed_type;

    /* To simplify the matrix row and column operators: */
    typedef vector<
        Element,
        typename array_type::row_array_type::generator_type
    > row_vector_type;

    typedef vector<
        Element,
        typename array_type::col_array_type::generator_type
    > col_vector_type;


  public:

    /** Set this matrix to zero. */
    matrix_type& zero() {
        typedef cml::et::OpAssign<Element,Element> OpT;
        cml::et::UnrollAssignment<OpT>(*this,Element(0));
        return *this;
    }

    /** Set this matrix to the identity.
     *
     * This only makes sense for a square matrix, but no error will be
     * signaled if the matrix is not square.
     */
    matrix_type& identity() {
        for(size_t i = 0; i < this->rows(); ++ i) {
            for(size_t j = 0; j < this->cols(); ++ j) {
                (*this)(i,j) = value_type((i == j)?1:0);
            }
        }
        return *this;
    }

    /** Set this matrix to its transpose.
     *
     * This only makes sense for a square matrix, but no error will be
     * signaled if the matrix is not square.
     */
    matrix_type& transpose() {
        /* transpose() returns a temporary: */
        *this = transpose(*this);
        return *this;
    }

    /** Set this matrix to its inverse.
     *
     * This only makes sense for a square matrix, but no error will be
     * signaled if the matrix is not square.
     */
    matrix_type& inverse() {
        /* inverse() returns a temporary: */
        *this = cml::inverse(*this);
        return *this;
    }

    /* NOTE: minimize() and maximize() no longer supported (Jesse) */

    #if 0
    /** Pairwise minimum of this matrix with another. */
    template<typename E, class AT, typename L>
    void minimize(const matrix<E,AT,basis_orient,L>& v) {
      /* XXX This should probably use ScalarPromote: */
      for (size_t i = 0; i < this->rows(); ++i) {
        for (size_t j = 0; j < this->cols(); ++j) {
          (*this)(i,j) = std::min((*this)(i,j),v(i,j));
        }
      }
    }

    /** Pairwise maximum of this matrix with another. */
    template<typename E, class AT, typename L>
    void maximize(const matrix<E,AT,basis_orient,L>& v) {
      /* XXX This should probably use ScalarPromote: */
      for (size_t i = 0; i < this->rows(); ++i) {
        for (size_t j = 0; j < this->cols(); ++j) {
          (*this)(i,j) = std::max((*this)(i,j),v(i,j));
        }
      }
    }
    #endif

    /* Set each element to a random number in the range [min,max] */
    void random(ELEMENT_ARG_TYPE min, ELEMENT_ARG_TYPE max) {
      for(size_t i = 0; i < this->rows(); ++i) {
        for(size_t j = 0; j < this->cols(); ++j) {
          (*this)(i,j) = random_real(min,max);
        }
      }
    }


  public:

    /** Constructor for fixed-size external matrices.
     *
     * The array must be given as a pointer to Element*, not a
     * multi-dimensional array.  The caller owns the pointer, and is
     * responsible for doing any necessary memory management.
     *
     * @param ptr specify the external pointer.
     *
     * @throws same as the ArrayType constructor.
     */
    explicit matrix(value_type ptr[Rows][Cols]) : array_type(ptr) {}

    /** Constructor for fixed-size external matrices.
     *
     * The array must be given as a pointer to Element*, not a
     * multi-dimensional array.  The caller owns the pointer, and is
     * responsible for doing any necessary memory management.
     *
     * @param ptr specify the external pointer.
     *
     * @throws same as the ArrayType constructor.
     */
    explicit matrix(value_type* ptr) : array_type(ptr) {}


  public:

    /** Return the matrix size as a pair. */
    matrix_size size() const {
        return matrix_size(this->rows(),this->cols());
    }

    /** Return element j of basis vector i. */
    value_type basis_element(size_t i, size_t j) const {
        return basis_element(i,j,basis_orient());
    }

    /** Set the given basis element. */
    void set_basis_element(size_t i, size_t j, ELEMENT_ARG_TYPE s) {
        set_basis_element(i,j,s,basis_orient());
    }

    /** Set the matrix row from the given vector. */
    void set_row(size_t i, const row_vector_type& row) {
      for(size_t j = 0; j < this->cols(); ++ j) (*this)(i,j) = row[j];
    }

    /** Set the matrix column from the given vector. */
    void set_col(size_t j, const col_vector_type& col) {
      for(size_t i = 0; i < this->rows(); ++ i) (*this)(i,j) = col[i];
    }


  public:

    CML_ASSIGN_MAT_22
    CML_ASSIGN_MAT_33
    CML_ASSIGN_MAT_44

    /* Define class operators for external matrices. Note: external matrices
     * cannot be copy-constructed, but they can be assigned to:
     */
    CML_MAT_ASSIGN_FROM_MATTYPE

    CML_MAT_ASSIGN_FROM_MAT(=, et::OpAssign)
    CML_MAT_ASSIGN_FROM_MAT(+=, et::OpAddAssign)
    CML_MAT_ASSIGN_FROM_MAT(-=, et::OpSubAssign)

    CML_MAT_ASSIGN_FROM_MATXPR(=, et::OpAssign)
    CML_MAT_ASSIGN_FROM_MATXPR(+=, et::OpAddAssign)
    CML_MAT_ASSIGN_FROM_MATXPR(-=, et::OpSubAssign)

    CML_MAT_ASSIGN_FROM_SCALAR(*=, et::OpMulAssign)
    CML_MAT_ASSIGN_FROM_SCALAR(/=, et::OpDivAssign)

    CML_ACCUMULATED_MATRIX_MULT(const matrix_type&)

    template<typename E, class AT, typename BO, typename L>
        CML_ACCUMULATED_MATRIX_MULT(const TEMPLATED_MATRIX_MACRO&)

    template<class XprT>
        CML_ACCUMULATED_MATRIX_MULT(MATXPR_ARG_TYPE)


  protected:

    value_type basis_element(size_t i, size_t j, row_basis) const {
        return (*this)(i,j);
    }

    value_type basis_element(size_t i, size_t j, col_basis) const {
        return (*this)(j,i);
    }

    void set_basis_element(size_t i, size_t j, ELEMENT_ARG_TYPE s, row_basis) {
        (*this)(i,j) = s;
    }

    void set_basis_element(size_t i, size_t j, ELEMENT_ARG_TYPE s, col_basis) {
        (*this)(j,i) = s;
    }


  public:

    /* Braces should only be used for testing: */
#if defined(CML_ENABLE_MATRIX_BRACES)
    CML_MATRIX_BRACE_OPERATORS
#endif
};

/** Dynamic-size, external-memory matrix. */
template<typename Element, typename BasisOrient, typename Layout>
class matrix<Element,external<-1,-1>,BasisOrient,Layout>
: public external_2D<Element,-1,-1,Layout>
{
  public:

    /* Shorthand for the generator: */
    typedef external<> generator_type;

    /* Shorthand for the array type: */
    typedef external_2D<Element,-1,-1,Layout> array_type;

    /* Shorthand for the type of this matrix: */
    typedef matrix<Element,generator_type,BasisOrient,Layout> matrix_type;

    /* For integration into the expression template code: */
    typedef matrix_type expr_type;

    /* For integration into the expression template code: */
    typedef matrix<Element,dynamic<>,BasisOrient,Layout> temporary_type;
    /* Note: this ensures that an external matrix is copied into the proper
     * temporary; external<> temporaries are not allowed.
     */

    /* Standard: */
    typedef typename array_type::value_type value_type;
    typedef typename array_type::reference reference;
    typedef typename array_type::const_reference const_reference;

    typedef matrix_type& expr_reference;
    typedef const matrix_type& expr_const_reference;

    /* For matching by basis: */
    typedef BasisOrient basis_orient;

    /* For matching by memory layout: */
    typedef typename array_type::layout layout;

    /* For matching by storage type if necessary: */
    typedef typename array_type::memory_tag memory_tag;

    /* For matching by size type if necessary: */
    typedef typename array_type::size_tag size_tag;

    /* For matching by resizability: */
    typedef typename array_type::resizing_tag resizing_tag;

    /* For matching by result-type: */
    typedef cml::et::matrix_result_tag result_tag;

    /* For matching by assignability: */
    typedef cml::et::assignable_tag assignable_tag;

    /* To simplify the matrix transpose operator: */
    typedef matrix<
        Element,
        typename array_type::transposed_type::generator_type,
        BasisOrient,
        Layout
    > transposed_type;

    /* To simplify the matrix row and column operators: */
    typedef vector<
        Element,
        typename array_type::row_array_type::generator_type
    > row_vector_type;

    typedef vector<
        Element,
        typename array_type::col_array_type::generator_type
    > col_vector_type;


  public:

    /** Set this matrix to zero. */
    matrix_type& zero() {
        typedef cml::et::OpAssign<Element,Element> OpT;
        cml::et::UnrollAssignment<OpT>(*this,Element(0));
        return *this;
    }

    /** Set this matrix to the identity.
     *
     * This only makes sense for a square matrix, but no error will be
     * signaled if the matrix is not square.
     */
    matrix_type& identity() {
        for(size_t i = 0; i < this->rows(); ++ i) {
            for(size_t j = 0; j < this->cols(); ++ j) {
                (*this)(i,j) = value_type((i == j)?1:0);
            }
        }
        return *this;
    }

    /** Set this matrix to its transpose.
     *
     * This only makes sense for a square matrix, but no error will be
     * signaled if the matrix is not square.
     */
    matrix_type& transpose() {
        /* transpose() returns a temporary: */
        *this = cml::transpose(*this);
        return *this;
    }

    /** Set this matrix to its inverse.
     *
     * This only makes sense for a square matrix, but no error will be
     * signaled if the matrix is not square.
     */
    matrix_type& inverse() {
        /* inverse() returns a temporary: */
        *this = inverse(*this);
        return *this;
    }

    /** Pairwise minimum of this matrix with another. */
    template<typename E, class AT, typename L>
    void minimize(const matrix<E,AT,basis_orient,L>& v) {
      /* XXX This should probably use ScalarPromote: */
      for (size_t i = 0; i < this->rows(); ++i) {
        for (size_t j = 0; j < this->cols(); ++j) {
          (*this)[i] = std::min((*this)(i,j),v(i,j));
        }
      }
    }

    /** Pairwise maximum of this matrix with another. */
    template<typename E, class AT, class BO, typename L>
    void maximize(const matrix<E,AT,basis_orient,L>& v) {
      /* XXX This should probably use ScalarPromote: */
      for (size_t i = 0; i < this->rows(); ++i) {
        for (size_t j = 0; j < this->cols(); ++j) {
          (*this)[i] = std::max((*this)(i,j),v(i,j));
        }
      }
    }

    /* Set each element to a random number in the range [min,max] */
    void random(ELEMENT_ARG_TYPE min, ELEMENT_ARG_TYPE max) {
      for(size_t i = 0; i < this->rows(); ++i) {
        for(size_t j = 0; j < this->cols(); ++j) {
          (*this)(i,j) = cml::random_real(min,max);
        }
      }
    }


  public:

    /** Constructor for fixed-size external matrices.
     *
     * The array must be given as a pointer to Element*, not a
     * multi-dimensional array.  The caller owns the pointer, and is
     * responsible for doing any necessary memory management.
     *
     * @param ptr specify the external pointer.
     * @param rows the number of rows in the C array.
     * @param cols the number of columns in the C array.
     *
     * @throws same as the ArrayType constructor.
     */
    explicit matrix(value_type* const ptr, size_t rows, size_t cols)
        : array_type(ptr,rows,cols) {}


  public:

    /** Return the matrix size as a pair. */
    matrix_size size() const {
        return matrix_size(this->rows(),this->cols());
    }

    /** Return element j of basis vector i. */
    value_type basis_element(size_t i, size_t j) const {
        return basis_element(i,j,basis_orient());
    }

    /** Set the given basis element. */
    void set_basis_element(size_t i, size_t j, ELEMENT_ARG_TYPE s) {
        set_basis_element(i,j,s,basis_orient());
    }


  public:

    CML_ASSIGN_MAT_22
    CML_ASSIGN_MAT_33
    CML_ASSIGN_MAT_44

    /* Define class operators for external matrices. Note: external matrices
     * cannot be copy-constructed, but they can be assigned to:
     */
    CML_MAT_ASSIGN_FROM_MATTYPE

    CML_MAT_ASSIGN_FROM_MAT(=, et::OpAssign)
    CML_MAT_ASSIGN_FROM_MAT(+=, et::OpAddAssign)
    CML_MAT_ASSIGN_FROM_MAT(-=, et::OpSubAssign)

    CML_MAT_ASSIGN_FROM_MATXPR(=, et::OpAssign)
    CML_MAT_ASSIGN_FROM_MATXPR(+=, et::OpAddAssign)
    CML_MAT_ASSIGN_FROM_MATXPR(-=, et::OpSubAssign)

    CML_MAT_ASSIGN_FROM_SCALAR(*=, et::OpMulAssign)
    CML_MAT_ASSIGN_FROM_SCALAR(/=, et::OpDivAssign)

    CML_ACCUMULATED_MATRIX_MULT(const matrix_type&)

    template<typename E, class AT, typename BO, typename L>
        CML_ACCUMULATED_MATRIX_MULT(const TEMPLATED_MATRIX_MACRO&)

    template<class XprT>
        CML_ACCUMULATED_MATRIX_MULT(MATXPR_ARG_TYPE)


  protected:

    value_type basis_element(size_t i, size_t j, row_basis) const {
        return (*this)(i,j);
    }

    value_type basis_element(size_t i, size_t j, col_basis) const {
        return (*this)(j,i);
    }

    void set_basis_element(size_t i, size_t j, ELEMENT_ARG_TYPE s, row_basis) {
        (*this)(i,j) = s;
    }

    void set_basis_element(size_t i, size_t j, ELEMENT_ARG_TYPE s, col_basis) {
        (*this)(j,i) = s;
    }


  public:

    /* Braces should only be used for testing: */
#if defined(CML_ENABLE_MATRIX_BRACES)
    CML_MATRIX_BRACE_OPERATORS
#endif
};

} // namespace cml

#endif

// -------------------------------------------------------------------------
// vim:ft=cpp