Rename the library to mspmath and make linal a sublibrary

[libs/math.git] / source / linal / matrix.h

diff --git a/source/linal/matrix.h b/source/linal/matrix.h
new file mode 100644 (file)
index 0000000..00e960d
--- /dev/null
+++ b/source/linal/matrix.h
@@ -0,0 +1,149 @@
+#ifndef MSP_LIEAL_MATMIX_H_
+#define MSP_LIEAL_MATMIX_H_
+
+#include "vector.h"
+
+namespace Msp {
+namespace LinAl {
+
+/**
+A general mathematical matrix.
+*/
+template<typename T, unsigned M, unsigned N>
+class Matrix
+{
+private:
+       T data[M*N];
+
+public:
+       Matrix();
+       Matrix(const T *);
+       template<typename U>
+       Matrix(const Matrix<U, M, N> &);
+       static Matrix from_columns(const Vector<T, M> *);
+       static Matrix from_rows(const Vector<T, N> *);
+
+       T &operator()(unsigned, unsigned);
+       const T &operator()(unsigned, unsigned) const;
+
+       Matrix &operator*=(T);
+       Matrix &operator/=(T);
+       Matrix &operator+=(const Matrix &);
+       Matrix &operator-=(const Matrix &);
+
+       Matrix<T, N, M> transpose() const;
+};
+
+template<typename T, unsigned M, unsigned N>
+inline T &Matrix<T, M, N>::operator()(unsigned i, unsigned j)
+{
+       return data[i+M*j];
+}
+
+template<typename T, unsigned M, unsigned N>
+inline const T &Matrix<T, M, N>::operator()(unsigned i, unsigned j) const
+{
+       return data[i+M*j];
+}
+
+template<typename T, unsigned M, unsigned N>
+inline Matrix<T, M, N> &Matrix<T, M, N>::operator*=(T s)
+{
+       for(unsigned i=0; i<M*N; ++i)
+               data[i] *= s;
+       return *this;
+}
+
+template<typename T, unsigned M, unsigned N>
+inline Matrix<T, M, N> operator*(const Matrix<T, M, N> &m, T s)
+{
+       Matrix<T, M, N> r(m);
+       return r *= s;
+}
+
+template<typename T, unsigned M, unsigned N>
+inline Matrix<T, M, N> operator*(T s, const Matrix<T, M, N> &m)
+{
+       return m*s;
+}
+
+template<typename T, unsigned M, unsigned N>
+inline Matrix<T, M, N> &Matrix<T, M, N>::operator/=(T s)
+{
+       for(unsigned i=0; i<M*N; ++i)
+               data[i] /= s;
+       return *this;
+}
+
+template<typename T, unsigned M, unsigned N>
+inline Matrix<T, M, N> operator/(const Matrix<T, M, N> &m, T s)
+{
+       Matrix<T, M, N> r(m);
+       return r /= s;
+}
+
+template<typename T, unsigned M, unsigned N>
+inline Matrix<T, M, N> &Matrix<T, M, N>::operator+=(const Matrix<T, M, N> &m)
+{
+       for(unsigned i=0; i<M*N; ++i)
+               data[i] += m.data[i];
+       return *this;
+}
+
+template<typename T, unsigned M, unsigned N>
+inline Matrix<T, M, N> operator+(const Matrix<T, M, N> &m1, const Matrix<T, M, N> &m2)
+{
+       Matrix<T, M, N> r(m1);
+       return r += m2;
+}
+
+template<typename T, unsigned M, unsigned N>
+inline Matrix<T, M, N> &Matrix<T, M, N>::operator-=(const Matrix<T, M, N> &m)
+{
+       for(unsigned i=0; i<M*N; ++i)
+               data[i] -= m.data[i];
+       return *this;
+}
+
+template<typename T, unsigned M, unsigned N>
+inline Matrix<T, M, N> operator-(const Matrix<T, M, N> &m1, const Matrix<T, M, N> &m2)
+{
+       Matrix<T, M, N> r(m1);
+       return r -= m2;
+}
+
+template<typename T, unsigned M, unsigned P, unsigned N>
+Matrix<T, M, N> operator*(const Matrix<T, M, P> &m1, const Matrix<T, P, N> &m2)
+{
+       Matrix<T, M, N> r;
+       for(unsigned i=0; i<M; ++i)
+               for(unsigned j=0; j<N; ++j)
+                       for(unsigned k=0; k<P; ++k)
+                               r.at(i, j) += m1(i, k)*m2(k, j);
+       return r;
+}
+
+template<typename T, unsigned M, unsigned N>
+Vector<T, M> operator*(const Matrix<T, M, N> &m, const Vector<T, N> &v)
+{
+       Vector<T, M> r;
+       for(unsigned i=0; i<M; ++i)
+               for(unsigned j=0; j<N; ++j)
+                       r[i] += m(i, j)*v[j];
+       return r;
+}
+
+template<typename T, unsigned M, unsigned N>
+Vector<T, N> operator*(const Vector<T, M> &v, const Matrix<T, M, N> &m)
+{
+       Vector<T, N> r;
+       for(unsigned j=0; j<N; ++j)
+               for(unsigned i=0; i<M; ++i)
+                       r[j] += v[i]*m.at(i, j);
+       return r;
+}
+
+} // namespace LinAl
+} // namespace Msp
+
+#endif