1 #ifndef MSP_LINAL_MATRIX_H_
2 #define MSP_LINAL_MATRIX_H_
11 A general mathematical matrix with M rows and N columns.
13 template<typename T, unsigned M, unsigned N>
23 Matrix(const Matrix<U, M, N> &);
25 static Matrix from_columns(const Vector<T, M> *);
26 static Matrix from_rows(const Vector<T, N> *);
28 T &element(unsigned i, unsigned j) { return data[i+M*j]; }
29 const T &element(unsigned i, unsigned j) const { return data[i+M*j]; }
30 T &operator()(unsigned i, unsigned j) { return element(i, j); }
31 const T &operator()(unsigned i, unsigned j) const { return element(i, j); }
33 Matrix &operator*=(T);
34 Matrix &operator/=(T);
35 Matrix &operator+=(const Matrix &);
36 Matrix &operator-=(const Matrix &);
38 Matrix &exchange_rows(unsigned, unsigned);
39 Matrix &multiply_row(unsigned, T);
40 Matrix &add_row(unsigned, unsigned, T);
43 template<typename T, unsigned M, unsigned N>
44 inline Matrix<T, M, N>::Matrix()
46 std::fill(data, data+M*N, T());
49 template<typename T, unsigned M, unsigned N>
50 inline Matrix<T, M, N>::Matrix(const T *d)
52 std::copy(d, d+M*N, data);
55 template<typename T, unsigned M, unsigned N>
57 inline Matrix<T, M, N>::Matrix(const Matrix<U, M, N> &other)
59 for(unsigned i=0; i<M; ++i)
60 for(unsigned j=0; j<N; ++j)
61 element(i, j) = other(i, j);
64 template<typename T, unsigned M, unsigned N>
65 inline Matrix<T, M, N> Matrix<T, M, N>::from_columns(const Vector<T, M> *v)
68 for(unsigned i=0; i<M; ++i)
69 for(unsigned j=0; j<N; ++j)
74 template<typename T, unsigned M, unsigned N>
75 inline Matrix<T, M, N> Matrix<T, M, N>::from_rows(const Vector<T, N> *v)
78 for(unsigned i=0; i<M; ++i)
79 for(unsigned j=0; j<N; ++j)
84 template<typename T, unsigned M, unsigned N>
85 inline Matrix<T, M, N> &Matrix<T, M, N>::operator*=(T s)
87 for(unsigned i=0; i<M*N; ++i)
92 template<typename T, unsigned M, unsigned N>
93 inline Matrix<T, M, N> operator*(const Matrix<T, M, N> &m, T s)
99 template<typename T, unsigned M, unsigned N>
100 inline Matrix<T, M, N> operator*(T s, const Matrix<T, M, N> &m)
105 template<typename T, unsigned M, unsigned P, unsigned N>
106 inline Matrix<T, M, N> operator*(const Matrix<T, M, P> &m1, const Matrix<T, P, N> &m2)
109 for(unsigned i=0; i<M; ++i)
110 for(unsigned j=0; j<N; ++j)
111 for(unsigned k=0; k<P; ++k)
112 r(i, j) += m1(i, k)*m2(k, j);
116 template<typename T, unsigned M, unsigned N>
117 inline Vector<T, M> operator*(const Matrix<T, M, N> &m, const Vector<T, N> &v)
120 for(unsigned i=0; i<M; ++i)
121 for(unsigned j=0; j<N; ++j)
122 r[i] += m(i, j)*v[j];
126 template<typename T, unsigned M, unsigned N>
127 inline Vector<T, N> operator*(const Vector<T, M> &v, const Matrix<T, M, N> &m)
130 for(unsigned j=0; j<N; ++j)
131 for(unsigned i=0; i<M; ++i)
132 r[j] += v[i]*m(i, j);
136 template<typename T, unsigned M, unsigned N>
137 inline Matrix<T, M, N> &Matrix<T, M, N>::operator/=(T s)
139 for(unsigned i=0; i<M*N; ++i)
144 template<typename T, unsigned M, unsigned N>
145 inline Matrix<T, M, N> operator/(const Matrix<T, M, N> &m, T s)
147 Matrix<T, M, N> r(m);
151 template<typename T, unsigned M, unsigned N>
152 inline Matrix<T, M, N> &Matrix<T, M, N>::operator+=(const Matrix<T, M, N> &m)
154 for(unsigned i=0; i<M*N; ++i)
155 data[i] += m.data[i];
159 template<typename T, unsigned M, unsigned N>
160 inline Matrix<T, M, N> operator+(const Matrix<T, M, N> &m1, const Matrix<T, M, N> &m2)
162 Matrix<T, M, N> r(m1);
166 template<typename T, unsigned M, unsigned N>
167 inline Matrix<T, M, N> &Matrix<T, M, N>::operator-=(const Matrix<T, M, N> &m)
169 for(unsigned i=0; i<M*N; ++i)
170 data[i] -= m.data[i];
174 template<typename T, unsigned M, unsigned N>
175 inline Matrix<T, M, N> operator-(const Matrix<T, M, N> &m1, const Matrix<T, M, N> &m2)
177 Matrix<T, M, N> r(m1);
181 template<typename T, unsigned M, unsigned N>
182 inline bool operator==(const Matrix<T, M, N> &a, const Matrix<T, M, N> &b)
184 for(unsigned j=0; j<N; ++j)
185 for(unsigned i=0; i<M; ++i)
191 template<typename T, unsigned M, unsigned N>
192 inline Matrix<T, M, N> &Matrix<T, M, N>::exchange_rows(unsigned i, unsigned j)
195 for(unsigned k=0; k<N; ++k)
196 swap(element(i, k), element(j, k));
200 template<typename T, unsigned M, unsigned N>
201 inline Matrix<T, M, N> &Matrix<T, M, N>::multiply_row(unsigned i, T s)
203 for(unsigned k=0; k<N; ++k)
208 template<typename T, unsigned M, unsigned N>
209 inline Matrix<T, M, N> &Matrix<T, M, N>::add_row(unsigned i, unsigned j, T s)
211 for(unsigned k=0; k<N; ++k)
212 element(j, k) += element(i, k)*s;
216 template<typename T, unsigned M, unsigned N>
217 inline Matrix<T, N, M> transpose(const Matrix<T, M, N> &m)
220 for(unsigned j=0; j<N; ++j)
221 for(unsigned i=0; i<M; ++i)