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Diffstat (limited to 'intern/iksolver/intern/TNT/transv.h')
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+/**
+ * $Id$
+ * ***** BEGIN GPL/BL DUAL LICENSE BLOCK *****
+ *
+ * This program 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
+ * of the License, or (at your option) any later version. The Blender
+ * Foundation also sells licenses for use in proprietary software under
+ * the Blender License. See http://www.blender.org/BL/ for information
+ * about this.
+ *
+ * This program 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 this program; if not, write to the Free Software Foundation,
+ * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+ *
+ * The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
+ * All rights reserved.
+ *
+ * The Original Code is: all of this file.
+ *
+ * Contributor(s): none yet.
+ *
+ * ***** END GPL/BL DUAL LICENSE BLOCK *****
+ */
+
+/*
+
+*
+* Template Numerical Toolkit (TNT): Linear Algebra Module
+*
+* Mathematical and Computational Sciences Division
+* National Institute of Technology,
+* Gaithersburg, MD USA
+*
+*
+* This software was developed at the National Institute of Standards and
+* Technology (NIST) by employees of the Federal Government in the course
+* of their official duties. Pursuant to title 17 Section 105 of the
+* United States Code, this software is not subject to copyright protection
+* and is in the public domain. The Template Numerical Toolkit (TNT) is
+* an experimental system. NIST assumes no responsibility whatsoever for
+* its use by other parties, and makes no guarantees, expressed or implied,
+* about its quality, reliability, or any other characteristic.
+*
+* BETA VERSION INCOMPLETE AND SUBJECT TO CHANGE
+* see http://math.nist.gov/tnt for latest updates.
+*
+*/
+
+
+
+// Matrix Transpose Views
+
+#ifndef TRANSV_H
+#define TRANSV_H
+
+#include <iostream>
+#include <cassert>
+#include "vec.h"
+
+namespace TNT
+{
+
+template <class Array2D>
+class Transpose_View
+{
+ protected:
+
+ const Array2D & A_;
+
+ public:
+
+ typedef typename Array2D::element_type T;
+ typedef T value_type;
+ typedef T element_type;
+ typedef T* pointer;
+ typedef T* iterator;
+ typedef T& reference;
+ typedef const T* const_iterator;
+ typedef const T& const_reference;
+
+
+ const Array2D & array() const { return A_; }
+ Subscript num_rows() const { return A_.num_cols();}
+ Subscript num_cols() const { return A_.num_rows();}
+ Subscript lbound() const { return A_.lbound(); }
+ Subscript dim(Subscript i) const
+ {
+#ifdef TNT_BOUNDS_CHECK
+ assert( A_.lbound() <= i);
+ assert( i<= A_.lbound()+1);
+#endif
+ if (i== A_.lbound())
+ return num_rows();
+ else
+ return num_cols();
+ }
+
+
+ Transpose_View(const Transpose_View<Array2D> &A) : A_(A.A_) {};
+ Transpose_View(const Array2D &A) : A_(A) {};
+
+
+ inline const typename Array2D::element_type & operator()(
+ Subscript i, Subscript j) const
+ {
+#ifdef TNT_BOUNDS_CHECK
+ assert(lbound()<=i);
+ assert(i<=A_.num_cols() + lbound() - 1);
+ assert(lbound()<=j);
+ assert(j<=A_.num_rows() + lbound() - 1);
+#endif
+
+ return A_(j,i);
+ }
+
+
+};
+
+template <class Matrix>
+Transpose_View<Matrix> Transpose_view(const Matrix &A)
+{
+ return Transpose_View<Matrix>(A);
+}
+
+template <class Matrix, class T>
+Vector<T> matmult(
+ const Transpose_View<Matrix> & A,
+ const Vector<T> &B)
+{
+ Subscript M = A.num_rows();
+ Subscript N = A.num_cols();
+
+ assert(B.dim() == N);
+
+ Vector<T> x(N);
+
+ Subscript i, j;
+ T tmp = 0;
+
+ for (i=1; i<=M; i++)
+ {
+ tmp = 0;
+ for (j=1; j<=N; j++)
+ tmp += A(i,j) * B(j);
+ x(i) = tmp;
+ }
+
+ return x;
+}
+
+template <class Matrix, class T>
+inline Vector<T> operator*(const Transpose_View<Matrix> & A, const Vector<T> &B)
+{
+ return matmult(A,B);
+}
+
+
+template <class Matrix>
+std::ostream& operator<<(std::ostream &s, const Transpose_View<Matrix> &A)
+{
+ Subscript M=A.num_rows();
+ Subscript N=A.num_cols();
+
+ Subscript start = A.lbound();
+ Subscript Mend = M + A.lbound() - 1;
+ Subscript Nend = N + A.lbound() - 1;
+
+ s << M << " " << N << endl;
+ for (Subscript i=start; i<=Mend; i++)
+ {
+ for (Subscript j=start; j<=Nend; j++)
+ {
+ s << A(i,j) << " ";
+ }
+ s << endl;
+ }
+
+
+ return s;
+}
+
+} // namespace TNT
+
+#endif
+// TRANSV_H