X-Git-Url: http://git.tdb.fi/?a=blobdiff_plain;f=source%2Flinal%2Fsquarematrix.h;h=b8531aafcb8359bcda6ea35628a9f561f77b677b;hb=fb1e198;hp=94157b0f3b92f2e2de9ebbf49e927d17bf8a9ae8;hpb=b60ee0fb060790277bfc68722f85a137a58ad771;p=libs%2Fmath.git diff --git a/source/linal/squarematrix.h b/source/linal/squarematrix.h index 94157b0..b8531aa 100644 --- a/source/linal/squarematrix.h +++ b/source/linal/squarematrix.h @@ -1,19 +1,17 @@ #ifndef MSP_LINAL_SQUAREMATRIX_H_ #define MSP_LINAL_SQUAREMATRIX_H_ -#include +#include #include "matrix.h" +#include "matrixops.h" namespace Msp { namespace LinAl { -class not_invertible: public std::domain_error -{ -public: - not_invertible(): domain_error(std::string()) { } - virtual ~not_invertible() throw() { } -}; - +/** +A mathematical matrix with S rows and columns. Some operations are provided +here that are only possible for square matrices. +*/ template class SquareMatrix: public Matrix { @@ -42,54 +40,23 @@ inline SquareMatrix SquareMatrix::identity() template SquareMatrix &SquareMatrix::operator*=(const SquareMatrix &m) { - Matrix::operator*=(m); - return *this; + return *this = *this*m; } template SquareMatrix &SquareMatrix::invert() { SquareMatrix r = identity(); - for(unsigned i=0; ielement(i, i)==T(0)) - { - unsigned pivot = i; - for(unsigned j=i+1; jelement(j, i))>abs(this->element(pivot, i))) - pivot = j; - - if(pivot==i) - throw not_invertible(); - - this->exchange_rows(i, pivot); - r.exchange_rows(i, pivot); - } - - for(unsigned j=i+1; jelement(j, i)/this->element(i, i); - this->add_row(i, j, a); - r.add_row(i, j, a); - } - - T a = T(1)/this->element(i, i); - this->multiply_row(i, a); - r.multiply_row(i, a); - } - - for(unsigned i=S; i-->0; ) - for(unsigned j=i; j-->0; ) - r.add_row(i, j, -this->element(j, i)); - + gauss_jordan(*this, r); return *this = r; } template inline SquareMatrix invert(const SquareMatrix &m) { - SquareMatrix r = m; - return r.invert(); + SquareMatrix temp = m; + SquareMatrix r = SquareMatrix::identity(); + return gauss_jordan(temp, r); } } // namespace LinAl