aboutsummaryrefslogtreecommitdiffhomepage
path: root/src/internal/MatrixOps.h
blob: 5697588ac4b6b2c619ff43bd5e778c1833565439 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
// This file is part of Eigen, a lightweight C++ template library
// for linear algebra. Eigen itself is part of the KDE project.
//
// Copyright (C) 2006-2007 Benoit Jacob <jacob@math.jussieu.fr>
//
// Eigen is free software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the Free Software
// Foundation; either version 2 or (at your option) any later version.
//
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
// details.
//
// You should have received a copy of the GNU General Public License along
// with Eigen; if not, write to the Free Software Foundation, Inc., 51
// Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
//
// As a special exception, if other files instantiate templates or use macros
// or functions from this file, or you compile this file and link it
// with other works to produce a work based on this file, this file does not
// by itself cause the resulting work to be covered by the GNU General Public
// License. This exception does not invalidate any other reasons why a work
// based on this file might be covered by the GNU General Public License.

#ifndef EIGEN_MATRIXOPS_H
#define EIGEN_MATRIXOPS_H

namespace Eigen {

template<typename Lhs, typename Rhs> class MatrixSum
  : public EigenBase<typename Lhs::Scalar, MatrixSum<Lhs, Rhs> >
{
  public:
    typedef typename Lhs::Scalar Scalar;
    typedef typename Lhs::Ref LhsRef;
    typedef typename Rhs::Ref RhsRef;
    friend class EigenBase<Scalar, MatrixSum>;
    typedef MatrixSum Ref;
    
    static const int RowsAtCompileTime = Lhs::RowsAtCompileTime,
                     ColsAtCompileTime = Rhs::ColsAtCompileTime;

    MatrixSum(const LhsRef& lhs, const RhsRef& rhs)
      : m_lhs(lhs), m_rhs(rhs)
    {
      assert(lhs.rows() == rhs.rows() && lhs.cols() == rhs.cols());
    }

    MatrixSum(const MatrixSum& other)
      : m_lhs(other.m_lhs), m_rhs(other.m_rhs) {}

    INHERIT_ASSIGNMENT_OPERATORS(MatrixSum)

  private:
  
    const Ref& _ref() const { return *this; }
    int _rows() const { return m_lhs.rows(); }
    int _cols() const { return m_lhs.cols(); }

    Scalar _read(int row, int col) const
    {
      return m_lhs.read(row, col) + m_rhs.read(row, col);
    }
    
  protected:
    const LhsRef m_lhs;
    const RhsRef m_rhs;
};

template<typename Lhs, typename Rhs> class MatrixDifference
  : public EigenBase<typename Lhs::Scalar, MatrixDifference<Lhs, Rhs> >
{
  public:
    typedef typename Lhs::Scalar Scalar;
    typedef typename Lhs::Ref LhsRef;
    typedef typename Rhs::Ref RhsRef;
    friend class EigenBase<Scalar, MatrixDifference>;
    typedef MatrixDifference Ref;
    
    static const int RowsAtCompileTime = Lhs::RowsAtCompileTime,
                     ColsAtCompileTime = Rhs::ColsAtCompileTime;
    
    MatrixDifference(const LhsRef& lhs, const RhsRef& rhs)
      : m_lhs(lhs), m_rhs(rhs)
    {
      assert(lhs.rows() == rhs.rows() && lhs.cols() == rhs.cols());
    }

    MatrixDifference(const MatrixDifference& other)
      : m_lhs(other.m_lhs), m_rhs(other.m_rhs) {}

    INHERIT_ASSIGNMENT_OPERATORS(MatrixDifference)

  private:
    const Ref& _ref() const { return *this; }
    int _rows() const { return m_lhs.rows(); }
    int _cols() const { return m_lhs.cols(); }

    Scalar _read(int row, int col) const
    {
      return m_lhs.read(row, col) - m_rhs.read(row, col);
    }
    
  protected:
    const LhsRef m_lhs;
    const RhsRef m_rhs;
};

template<typename Lhs, typename Rhs> class MatrixProduct
  : public EigenBase<typename Lhs::Scalar, MatrixProduct<Lhs, Rhs> >
{
  public:
    typedef typename Lhs::Scalar Scalar;
    typedef typename Lhs::Ref LhsRef;
    typedef typename Rhs::Ref RhsRef;
    friend class EigenBase<Scalar, MatrixProduct>;
    typedef MatrixProduct Ref;
    
    static const int RowsAtCompileTime = Lhs::RowsAtCompileTime,
                     ColsAtCompileTime = Rhs::ColsAtCompileTime;

    MatrixProduct(const LhsRef& lhs, const RhsRef& rhs)
      : m_lhs(lhs), m_rhs(rhs) 
    {
      assert(lhs.cols() == rhs.rows());
    }
    
    MatrixProduct(const MatrixProduct& other)
      : m_lhs(other.m_lhs), m_rhs(other.m_rhs) {}
    
    INHERIT_ASSIGNMENT_OPERATORS(MatrixProduct)
    
  private:
    const Ref& _ref() const { return *this; }
    int _rows() const { return m_lhs.rows(); }
    int _cols() const { return m_rhs.cols(); }
    
    Scalar _read(int row, int col) const
    {
      Scalar x = static_cast<Scalar>(0);
      for(int i = 0; i < m_lhs.cols(); i++)
        x += m_lhs.read(row, i) * m_rhs.read(i, col);
      return x;
    }
    
  protected:
    const LhsRef m_lhs;
    const RhsRef m_rhs;
};

template<typename Scalar, typename Derived1, typename Derived2>
MatrixProduct<Derived1, Derived2>
operator*(const EigenBase<Scalar, Derived1> &mat1, const EigenBase<Scalar, Derived2> &mat2)
{
  return MatrixProduct<Derived1, Derived2>(mat1.ref(), mat2.ref());
}

template<typename Scalar, typename Derived1, typename Derived2>
MatrixSum<Derived1, Derived2>
operator+(const EigenBase<Scalar, Derived1> &mat1, const EigenBase<Scalar, Derived2> &mat2)
{
  return MatrixSum<Derived1, Derived2>(mat1.ref(), mat2.ref());
}

template<typename Scalar, typename Derived1, typename Derived2>
MatrixDifference<Derived1, Derived2>
operator-(const EigenBase<Scalar, Derived1> &mat1, const EigenBase<Scalar, Derived2> &mat2)
{
  return MatrixDifference<Derived1, Derived2>(mat1.ref(), mat2.ref());
}

template<typename Scalar, typename Derived>
template<typename OtherDerived>
Derived &
EigenBase<Scalar, Derived>::operator+=(const EigenBase<Scalar, OtherDerived>& other)
{
  *this = *this + other;
  return *static_cast<Derived*>(this);
}

template<typename Scalar, typename Derived>
template<typename OtherDerived>
Derived &
EigenBase<Scalar, Derived>::operator-=(const EigenBase<Scalar, OtherDerived> &other)
{
  *this = *this - other;
  return *static_cast<Derived*>(this);
}

} // namespace Eigen

#endif // EIGEN_MATRIXOPS_H