/usr/include/casacore/casa/Arrays/MatrixMath.tcc is in casacore-dev 2.2.0-2.
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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 | //# MatrixMath.tcc: The Casacore linear algebra functions
//# Copyright (C) 1994,1995,1996,1998,2001,2002
//# Associated Universities, Inc. Washington DC, USA.
//#
//# This library is free software; you can redistribute it and/or modify it
//# under the terms of the GNU Library General Public License as published by
//# the Free Software Foundation; either version 2 of the License, or (at your
//# option) any later version.
//#
//# This library 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 Library General Public
//# License for more details.
//#
//# You should have received a copy of the GNU Library General Public License
//# along with this library; if not, write to the Free Software Foundation,
//# Inc., 675 Massachusetts Ave, Cambridge, MA 02139, USA.
//#
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//# Internet email: aips2-request@nrao.edu.
//# Postal address: AIPS++ Project Office
//# National Radio Astronomy Observatory
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//# $Id$
#ifndef CASA_MATRIXMATH_TCC
#define CASA_MATRIXMATH_TCC
#include <casacore/casa/Arrays/MatrixMath.h>
#include <casacore/casa/Arrays/Vector.h>
#include <casacore/casa/Arrays/Matrix.h>
#include <casacore/casa/Arrays/ArrayError.h>
#include <casacore/casa/iostream.h>
#include <casacore/casa/math.h>
namespace casacore { //# NAMESPACE CASACORE - BEGIN
// the vector dot/scalar/inner product
template<class T> T innerProduct (const Vector<T> &A, const Vector<T> &B) {
// check for correct dimensions
if (A.conform(B) == False){
throw(ArrayConformanceError("innerProduct - conform() error."));
}
T scalar = 0;
for (uInt i=0; i < A.nelements(); i++)
scalar += A(i)*B(i);
return scalar;
}
// Uncomment this if we ever want a templated Rot3D again.
// template <class T> Matrix<T> Rot3D(Int axis, T angle) {
// if (axis<0 || axis>2)
// throw (ArrayError("Rot3D(axis, angle): axis has to be 0 (x),"
// " 1 (y) or 2 (z)."));
//
// Matrix<T> Rot(3,3);
// Rot=0;
// T cosa=cos(angle);
// T sina=sin(angle);
//
// Rot(axis,axis)=1;
// Rot((axis+1)%3,(axis+1)%3)=cosa;
// Rot((axis+2)%3,(axis+1)%3)=sina;
// Rot((axis+1)%3,(axis+2)%3)=-sina;
// Rot((axis+2)%3,(axis+2)%3)=cosa;
// return Rot;
// }
// the 3-space cross/vector product
template <class T>
Vector<T> crossProduct (const Vector<T> &A, const Vector<T> &B) {
// check for correct dimensions
if (!A.conform(B)){
throw (ArrayConformanceError("crossProduct - conform() error."));
} else {
if (A.nelements() != 3)
throw (ArrayConformanceError("crossProduct - Vector not in 3-space"));
}
Vector<T> result(3);
result(0) = A(1)*B(2) - A(2)*B(1);
result(1) = A(2)*B(0) - A(0)*B(2);
result(2) = A(0)*B(1) - A(1)*B(0);
return result;
}
template <class T>
T crossProduct2D (const Vector<T> &A, const Vector<T> &B) {
// check for correct dimensions
if (!A.conform(B)){
throw (ArrayConformanceError("crossProduct2D - conform() error."));
} else {
if (A.nelements() != 2)
throw (ArrayConformanceError("crossProduct2D - Vector not in 2-space"));
}
return A[0]* B[1] - A[1]*B[0];
}
// matrix multiplication or cayley product
template <class T>
Vector<T> product (const Matrix<T> &A, const Vector<T> &x) {
if (A.ncolumn() != x.nelements())
throw (ArrayError("product - multiplication of"
" these matrices shapes is undefined"));
Vector<T> result(A.nrow());
for (uInt i = 0; i < A.nrow(); i++) {
result(i) = T(0);
for (uInt k = 0; k < A.ncolumn(); k++) result(i) += A(i,k) * x(k);
}
return result;
}
template <class T>
Vector<T> directProduct(const Vector<T>& x, const Vector<T>& y)
{
uInt nx=x.nelements(), ny=y.nelements();
Vector<T> res(nx*ny);
for (uInt i=0; i<nx*ny; i++) {
res(i) = x(i/ny) * y(i%ny);
}
return res;
}
template <class T>
Matrix<T> product (const Vector<T> &x, const Matrix<T> &yT) {
if (yT.nrow()!= 1)
throw (ArrayError("product - multiplication of"
" these matrices shapes is undefined"));
Matrix<T> A(x.nelements(),1u);
A.column(0) = x;
return product(A,yT);
}
// matrix multiplication or cayley product
template <class T>
Matrix<T> product (const Matrix<T> &A, const Matrix<T> &B) {
if (A.ncolumn() != B.nrow())
throw (ArrayError("product - multiplication of"
" these matrices shapes is undefined"));
Matrix<T> result(A.nrow(), B.ncolumn());
for (uInt i = 0; i < A.nrow(); i++)
for (uInt j = 0; j < B.ncolumn(); j++) {
result(i,j) = T(0);
for (uInt k = 0; k < A.ncolumn(); k++) result(i,j) += A(i,k) * B(k,j);
}
return result;
}
template <class T> Matrix<T> transpose (const Matrix<T> &A) {
Matrix<T> aT(A.ncolumn(), A.nrow());
for (uInt i=0; i<A.nrow(); i++)
for (uInt j=0; j<A.ncolumn(); j++) aT(j,i) = A(i,j);
return aT;
}
template <class T>
Matrix<T> directProduct(const Matrix<T> &A, const Matrix<T> &B) {
Int ncB = B.ncolumn(), nrB = B.nrow();
Matrix<T> dpAB(A.ncolumn()*B.ncolumn(),A.nrow()*B.nrow());
for (uInt i=0; i<dpAB.ncolumn(); i++) {
for (uInt j=0; j<dpAB.nrow(); j++) {
dpAB(i,j) = A(i/ncB,j/nrB)*B(i%ncB,j%nrB);
}
}
return dpAB;
}
} //# NAMESPACE CASACORE - END
#endif
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