[815] | 1 | // |
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| 2 | // ******************************************************************** |
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| 3 | // * License and Disclaimer * |
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| 4 | // * * |
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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| 7 | // * conditions of the Geant4 Software License, included in the file * |
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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| 9 | // * include a list of copyright holders. * |
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| 10 | // * * |
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| 11 | // * Neither the authors of this software system, nor their employing * |
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| 12 | // * institutes,nor the agencies providing financial support for this * |
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| 13 | // * work make any representation or warranty, express or implied, * |
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| 14 | // * regarding this software system or assume any liability for its * |
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| 15 | // * use. Please see the license in the file LICENSE and URL above * |
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| 16 | // * for the full disclaimer and the limitation of liability. * |
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| 17 | // * * |
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| 18 | // * This code implementation is the result of the scientific and * |
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| 19 | // * technical work of the GEANT4 collaboration. * |
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| 20 | // * By using, copying, modifying or distributing the software (or * |
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| 21 | // * any work based on the software) you agree to acknowledge its * |
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| 22 | // * use in resulting scientific publications, and indicate your * |
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| 23 | // * acceptance of all terms of the Geant4 Software license. * |
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| 24 | // ******************************************************************** |
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| 25 | // |
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| 26 | // $Id: G4ErrorMatrix.cc,v 1.3 2007/06/21 15:04:06 gunter Exp $ |
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[1228] | 27 | // GEANT4 tag $Name: geant4-09-03 $ |
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[815] | 28 | // |
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| 29 | // ------------------------------------------------------------ |
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| 30 | // GEANT 4 class implementation file |
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| 31 | // ------------------------------------------------------------ |
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| 32 | |
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| 33 | #include "globals.hh" |
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| 34 | |
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| 35 | #include <cmath> |
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| 36 | #include <iostream> |
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| 37 | |
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| 38 | #include "G4ErrorMatrix.hh" |
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| 39 | #include "G4ErrorSymMatrix.hh" |
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| 40 | |
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| 41 | // Simple operation for all elements |
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| 42 | |
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| 43 | #define SIMPLE_UOP(OPER) \ |
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| 44 | G4ErrorMatrixIter a=m.begin(); \ |
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| 45 | G4ErrorMatrixIter e=m.end(); \ |
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| 46 | for(;a!=e; a++) (*a) OPER t; |
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| 47 | |
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| 48 | #define SIMPLE_BOP(OPER) \ |
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| 49 | G4ErrorMatrixIter a=m.begin(); \ |
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| 50 | G4ErrorMatrixConstIter b=m2.m.begin(); \ |
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| 51 | G4ErrorMatrixIter e=m.end(); \ |
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| 52 | for(;a!=e; a++, b++) (*a) OPER (*b); |
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| 53 | |
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| 54 | #define SIMPLE_TOP(OPER) \ |
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| 55 | G4ErrorMatrixConstIter a=m1.m.begin(); \ |
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| 56 | G4ErrorMatrixConstIter b=m2.m.begin(); \ |
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| 57 | G4ErrorMatrixIter t=mret.m.begin(); \ |
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| 58 | G4ErrorMatrixConstIter e=m1.m.end(); \ |
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| 59 | for(;a!=e; a++, b++, t++) (*t) = (*a) OPER (*b); |
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| 60 | |
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| 61 | // Static functions. |
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| 62 | |
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| 63 | #define CHK_DIM_2(r1,r2,c1,c2,fun) \ |
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| 64 | if (r1!=r2 || c1!=c2) { \ |
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| 65 | G4ErrorMatrix::error("Range error in Matrix function " #fun "(1)."); \ |
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| 66 | } |
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| 67 | |
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| 68 | #define CHK_DIM_1(c1,r2,fun) \ |
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| 69 | if (c1!=r2) { \ |
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| 70 | G4ErrorMatrix::error("Range error in Matrix function " #fun "(2)."); \ |
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| 71 | } |
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| 72 | |
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| 73 | // Constructors. (Default constructors are inlined and in .icc file) |
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| 74 | |
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| 75 | G4ErrorMatrix::G4ErrorMatrix(G4int p,G4int q) |
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| 76 | : m(p*q), nrow(p), ncol(q) |
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| 77 | { |
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| 78 | size = nrow * ncol; |
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| 79 | } |
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| 80 | |
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| 81 | G4ErrorMatrix::G4ErrorMatrix(G4int p,G4int q,G4int init) |
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| 82 | : m(p*q), nrow(p), ncol(q) |
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| 83 | { |
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| 84 | size = nrow * ncol; |
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| 85 | |
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| 86 | if (size > 0) |
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| 87 | { |
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| 88 | switch(init) |
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| 89 | { |
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| 90 | case 0: |
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| 91 | break; |
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| 92 | |
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| 93 | case 1: |
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| 94 | { |
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| 95 | if ( ncol == nrow ) |
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| 96 | { |
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| 97 | G4ErrorMatrixIter a = m.begin(); |
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| 98 | G4ErrorMatrixIter b = m.end(); |
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| 99 | for( ; a<b; a+=(ncol+1)) *a = 1.0; |
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| 100 | } else { |
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| 101 | error("Invalid dimension in G4ErrorMatrix(G4int,G4int,1)."); |
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| 102 | } |
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| 103 | break; |
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| 104 | } |
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| 105 | default: |
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| 106 | error("G4ErrorMatrix: initialization must be either 0 or 1."); |
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| 107 | } |
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| 108 | } |
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| 109 | } |
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| 110 | |
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| 111 | // |
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| 112 | // Destructor |
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| 113 | // |
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| 114 | G4ErrorMatrix::~G4ErrorMatrix() |
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| 115 | { |
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| 116 | } |
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| 117 | |
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| 118 | G4ErrorMatrix::G4ErrorMatrix(const G4ErrorMatrix &m1) |
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| 119 | : m(m1.size), nrow(m1.nrow), ncol(m1.ncol), size(m1.size) |
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| 120 | { |
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| 121 | m = m1.m; |
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| 122 | } |
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| 123 | |
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| 124 | G4ErrorMatrix::G4ErrorMatrix(const G4ErrorSymMatrix &m1) |
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| 125 | : m(m1.nrow*m1.nrow), nrow(m1.nrow), ncol(m1.nrow) |
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| 126 | { |
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| 127 | size = nrow * ncol; |
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| 128 | |
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| 129 | G4int n = ncol; |
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| 130 | G4ErrorMatrixConstIter sjk = m1.m.begin(); |
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| 131 | G4ErrorMatrixIter m1j = m.begin(); |
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| 132 | G4ErrorMatrixIter mj = m.begin(); |
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| 133 | // j >= k |
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| 134 | for(G4int j=1;j<=nrow;j++) |
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| 135 | { |
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| 136 | G4ErrorMatrixIter mjk = mj; |
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| 137 | G4ErrorMatrixIter mkj = m1j; |
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| 138 | for(G4int k=1;k<=j;k++) |
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| 139 | { |
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| 140 | *(mjk++) = *sjk; |
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| 141 | if(j!=k) *mkj = *sjk; |
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| 142 | sjk++; |
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| 143 | mkj += n; |
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| 144 | } |
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| 145 | mj += n; |
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| 146 | m1j++; |
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| 147 | } |
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| 148 | } |
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| 149 | |
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| 150 | // |
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| 151 | // |
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| 152 | // Sub matrix |
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| 153 | // |
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| 154 | // |
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| 155 | |
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| 156 | G4ErrorMatrix G4ErrorMatrix::sub(G4int min_row, G4int max_row, |
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| 157 | G4int min_col,G4int max_col) const |
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| 158 | { |
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| 159 | G4ErrorMatrix mret(max_row-min_row+1,max_col-min_col+1); |
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| 160 | if(max_row > num_row() || max_col >num_col()) |
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| 161 | { error("G4ErrorMatrix::sub: Index out of range"); } |
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| 162 | G4ErrorMatrixIter a = mret.m.begin(); |
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| 163 | G4int nc = num_col(); |
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| 164 | G4ErrorMatrixConstIter b1 = m.begin() + (min_row - 1) * nc + min_col - 1; |
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| 165 | |
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| 166 | for(G4int irow=1; irow<=mret.num_row(); irow++) |
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| 167 | { |
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| 168 | G4ErrorMatrixConstIter brc = b1; |
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| 169 | for(G4int icol=1; icol<=mret.num_col(); icol++) |
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| 170 | { |
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| 171 | *(a++) = *(brc++); |
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| 172 | } |
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| 173 | b1 += nc; |
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| 174 | } |
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| 175 | return mret; |
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| 176 | } |
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| 177 | |
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| 178 | void G4ErrorMatrix::sub(G4int row,G4int col,const G4ErrorMatrix &m1) |
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| 179 | { |
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| 180 | if(row <1 || row+m1.num_row()-1 > num_row() || |
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| 181 | col <1 || col+m1.num_col()-1 > num_col() ) |
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| 182 | { error("G4ErrorMatrix::sub: Index out of range"); } |
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| 183 | G4ErrorMatrixConstIter a = m1.m.begin(); |
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| 184 | G4int nc = num_col(); |
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| 185 | G4ErrorMatrixIter b1 = m.begin() + (row - 1) * nc + col - 1; |
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| 186 | |
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| 187 | for(G4int irow=1; irow<=m1.num_row(); irow++) |
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| 188 | { |
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| 189 | G4ErrorMatrixIter brc = b1; |
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| 190 | for(G4int icol=1; icol<=m1.num_col(); icol++) |
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| 191 | { |
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| 192 | *(brc++) = *(a++); |
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| 193 | } |
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| 194 | b1 += nc; |
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| 195 | } |
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| 196 | } |
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| 197 | |
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| 198 | // |
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| 199 | // Direct sum of two matricies |
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| 200 | // |
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| 201 | |
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| 202 | G4ErrorMatrix dsum(const G4ErrorMatrix &m1, const G4ErrorMatrix &m2) |
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| 203 | { |
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| 204 | G4ErrorMatrix mret(m1.num_row() + m2.num_row(), m1.num_col() + m2.num_col(), |
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| 205 | 0); |
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| 206 | mret.sub(1,1,m1); |
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| 207 | mret.sub(m1.num_row()+1,m1.num_col()+1,m2); |
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| 208 | return mret; |
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| 209 | } |
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| 210 | |
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| 211 | /* ----------------------------------------------------------------------- |
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| 212 | This section contains support routines for matrix.h. This section contains |
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| 213 | The two argument functions +,-. They call the copy constructor and +=,-=. |
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| 214 | ----------------------------------------------------------------------- */ |
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| 215 | |
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| 216 | G4ErrorMatrix G4ErrorMatrix::operator- () const |
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| 217 | { |
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| 218 | G4ErrorMatrix m2(nrow, ncol); |
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| 219 | G4ErrorMatrixConstIter a=m.begin(); |
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| 220 | G4ErrorMatrixIter b=m2.m.begin(); |
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| 221 | G4ErrorMatrixConstIter e=m.end(); |
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| 222 | for(;a<e; a++, b++) (*b) = -(*a); |
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| 223 | return m2; |
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| 224 | } |
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| 225 | |
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| 226 | G4ErrorMatrix operator+(const G4ErrorMatrix &m1,const G4ErrorMatrix &m2) |
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| 227 | { |
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| 228 | G4ErrorMatrix mret(m1.nrow, m1.ncol); |
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| 229 | CHK_DIM_2(m1.num_row(),m2.num_row(), m1.num_col(),m2.num_col(),+); |
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| 230 | SIMPLE_TOP(+) |
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| 231 | return mret; |
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| 232 | } |
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| 233 | |
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| 234 | // |
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| 235 | // operator - |
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| 236 | // |
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| 237 | |
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| 238 | G4ErrorMatrix operator-(const G4ErrorMatrix &m1,const G4ErrorMatrix &m2) |
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| 239 | { |
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| 240 | G4ErrorMatrix mret(m1.num_row(), m1.num_col()); |
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| 241 | CHK_DIM_2(m1.num_row(),m2.num_row(), |
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| 242 | m1.num_col(),m2.num_col(),-); |
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| 243 | SIMPLE_TOP(-) |
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| 244 | return mret; |
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| 245 | } |
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| 246 | |
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| 247 | /* ----------------------------------------------------------------------- |
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| 248 | This section contains support routines for matrix.h. This file contains |
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| 249 | The two argument functions *,/. They call copy constructor and then /=,*=. |
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| 250 | ----------------------------------------------------------------------- */ |
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| 251 | |
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| 252 | G4ErrorMatrix operator/(const G4ErrorMatrix &m1,G4double t) |
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| 253 | { |
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| 254 | G4ErrorMatrix mret(m1); |
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| 255 | mret /= t; |
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| 256 | return mret; |
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| 257 | } |
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| 258 | |
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| 259 | G4ErrorMatrix operator*(const G4ErrorMatrix &m1,G4double t) |
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| 260 | { |
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| 261 | G4ErrorMatrix mret(m1); |
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| 262 | mret *= t; |
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| 263 | return mret; |
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| 264 | } |
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| 265 | |
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| 266 | G4ErrorMatrix operator*(G4double t,const G4ErrorMatrix &m1) |
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| 267 | { |
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| 268 | G4ErrorMatrix mret(m1); |
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| 269 | mret *= t; |
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| 270 | return mret; |
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| 271 | } |
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| 272 | |
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| 273 | G4ErrorMatrix operator*(const G4ErrorMatrix &m1,const G4ErrorMatrix &m2) |
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| 274 | { |
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| 275 | // initialize matrix to 0.0 |
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| 276 | G4ErrorMatrix mret(m1.nrow,m2.ncol,0); |
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| 277 | CHK_DIM_1(m1.ncol,m2.nrow,*); |
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| 278 | |
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| 279 | G4int m1cols = m1.ncol; |
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| 280 | G4int m2cols = m2.ncol; |
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| 281 | |
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| 282 | for (G4int i=0; i<m1.nrow; i++) |
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| 283 | { |
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| 284 | for (G4int j=0; j<m1cols; j++) |
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| 285 | { |
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| 286 | G4double temp = m1.m[i*m1cols+j]; |
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| 287 | G4ErrorMatrixIter pt = mret.m.begin() + i*m2cols; |
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| 288 | |
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| 289 | // Loop over k (the column index in matrix m2) |
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| 290 | G4ErrorMatrixConstIter pb = m2.m.begin() + m2cols*j; |
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| 291 | const G4ErrorMatrixConstIter pblast = pb + m2cols; |
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| 292 | while (pb < pblast) |
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| 293 | { |
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| 294 | (*pt) += temp * (*pb); |
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| 295 | pb++; |
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| 296 | pt++; |
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| 297 | } |
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| 298 | } |
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| 299 | } |
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| 300 | return mret; |
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| 301 | } |
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| 302 | |
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| 303 | /* ----------------------------------------------------------------------- |
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| 304 | This section contains the assignment and inplace operators =,+=,-=,*=,/=. |
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| 305 | ----------------------------------------------------------------------- */ |
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| 306 | |
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| 307 | G4ErrorMatrix & G4ErrorMatrix::operator+=(const G4ErrorMatrix &m2) |
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| 308 | { |
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| 309 | CHK_DIM_2(num_row(),m2.num_row(),num_col(),m2.num_col(),+=); |
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| 310 | SIMPLE_BOP(+=) |
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| 311 | return (*this); |
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| 312 | } |
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| 313 | |
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| 314 | G4ErrorMatrix & G4ErrorMatrix::operator-=(const G4ErrorMatrix &m2) |
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| 315 | { |
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| 316 | CHK_DIM_2(num_row(),m2.num_row(),num_col(),m2.num_col(),-=); |
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| 317 | SIMPLE_BOP(-=) |
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| 318 | return (*this); |
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| 319 | } |
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| 320 | |
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| 321 | G4ErrorMatrix & G4ErrorMatrix::operator/=(G4double t) |
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| 322 | { |
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| 323 | SIMPLE_UOP(/=) |
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| 324 | return (*this); |
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| 325 | } |
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| 326 | |
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| 327 | G4ErrorMatrix & G4ErrorMatrix::operator*=(G4double t) |
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| 328 | { |
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| 329 | SIMPLE_UOP(*=) |
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| 330 | return (*this); |
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| 331 | } |
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| 332 | |
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| 333 | G4ErrorMatrix & G4ErrorMatrix::operator=(const G4ErrorMatrix &m1) |
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| 334 | { |
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| 335 | if(m1.nrow*m1.ncol != size) //??fixme?? m1.size != size |
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| 336 | { |
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| 337 | size = m1.nrow * m1.ncol; |
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| 338 | m.resize(size); //??fixme?? if (size < m1.size) m.resize(m1.size); |
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| 339 | } |
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| 340 | nrow = m1.nrow; |
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| 341 | ncol = m1.ncol; |
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| 342 | m = m1.m; |
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| 343 | return (*this); |
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| 344 | } |
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| 345 | |
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| 346 | |
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| 347 | // Print the G4ErrorMatrix. |
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| 348 | |
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| 349 | std::ostream& operator<<(std::ostream &s, const G4ErrorMatrix &q) |
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| 350 | { |
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| 351 | s << "\n"; |
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| 352 | |
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| 353 | // Fixed format needs 3 extra characters for field, |
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| 354 | // while scientific needs 7 |
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| 355 | |
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| 356 | G4int width; |
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| 357 | if(s.flags() & std::ios::fixed) |
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| 358 | { width = s.precision()+3; } |
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| 359 | else |
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| 360 | { width = s.precision()+7; } |
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| 361 | for(G4int irow = 1; irow<= q.num_row(); irow++) |
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| 362 | { |
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| 363 | for(G4int icol = 1; icol <= q.num_col(); icol++) |
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| 364 | { |
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| 365 | s.width(width); |
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| 366 | s << q(irow,icol) << " "; |
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| 367 | } |
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| 368 | s << G4endl; |
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| 369 | } |
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| 370 | return s; |
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| 371 | } |
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| 372 | |
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| 373 | G4ErrorMatrix G4ErrorMatrix::T() const |
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| 374 | { |
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| 375 | G4ErrorMatrix mret(ncol,nrow); |
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| 376 | G4ErrorMatrixConstIter pl = m.end(); |
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| 377 | G4ErrorMatrixConstIter pme = m.begin(); |
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| 378 | G4ErrorMatrixIter pt = mret.m.begin(); |
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| 379 | G4ErrorMatrixIter ptl = mret.m.end(); |
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| 380 | for (; pme < pl; pme++, pt+=nrow) |
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| 381 | { |
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| 382 | if (pt >= ptl) { pt -= (size-1); } |
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| 383 | (*pt) = (*pme); |
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| 384 | } |
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| 385 | return mret; |
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| 386 | } |
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| 387 | |
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| 388 | G4ErrorMatrix |
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| 389 | G4ErrorMatrix::apply(G4double (*f)(G4double, G4int, G4int)) const |
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| 390 | { |
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| 391 | G4ErrorMatrix mret(num_row(),num_col()); |
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| 392 | G4ErrorMatrixConstIter a = m.begin(); |
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| 393 | G4ErrorMatrixIter b = mret.m.begin(); |
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| 394 | for(G4int ir=1;ir<=num_row();ir++) |
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| 395 | { |
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| 396 | for(G4int ic=1;ic<=num_col();ic++) |
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| 397 | { |
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| 398 | *(b++) = (*f)(*(a++), ir, ic); |
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| 399 | } |
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| 400 | } |
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| 401 | return mret; |
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| 402 | } |
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| 403 | |
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| 404 | G4int G4ErrorMatrix::dfinv_matrix(G4int *ir) { |
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| 405 | if (num_col()!=num_row()) |
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| 406 | { error("dfinv_matrix: G4ErrorMatrix is not NxN"); } |
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| 407 | G4int n = num_col(); |
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| 408 | if (n==1) { return 0; } |
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| 409 | |
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| 410 | G4double s31, s32; |
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| 411 | G4double s33, s34; |
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| 412 | |
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| 413 | G4ErrorMatrixIter m11 = m.begin(); |
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| 414 | G4ErrorMatrixIter m12 = m11 + 1; |
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| 415 | G4ErrorMatrixIter m21 = m11 + n; |
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| 416 | G4ErrorMatrixIter m22 = m12 + n; |
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| 417 | *m21 = -(*m22) * (*m11) * (*m21); |
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| 418 | *m12 = -(*m12); |
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| 419 | if (n>2) |
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| 420 | { |
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| 421 | G4ErrorMatrixIter mi = m.begin() + 2 * n; |
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| 422 | G4ErrorMatrixIter mii= m.begin() + 2 * n + 2; |
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| 423 | G4ErrorMatrixIter mimim = m.begin() + n + 1; |
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| 424 | for (G4int i=3;i<=n;i++) |
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| 425 | { |
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| 426 | G4int im2 = i - 2; |
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| 427 | G4ErrorMatrixIter mj = m.begin(); |
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| 428 | G4ErrorMatrixIter mji = mj + i - 1; |
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| 429 | G4ErrorMatrixIter mij = mi; |
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| 430 | for (G4int j=1;j<=im2;j++) |
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| 431 | { |
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| 432 | s31 = 0.0; |
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| 433 | s32 = *mji; |
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| 434 | G4ErrorMatrixIter mkj = mj + j - 1; |
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| 435 | G4ErrorMatrixIter mik = mi + j - 1; |
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| 436 | G4ErrorMatrixIter mjkp = mj + j; |
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| 437 | G4ErrorMatrixIter mkpi = mj + n + i - 1; |
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| 438 | for (G4int k=j;k<=im2;k++) |
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| 439 | { |
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| 440 | s31 += (*mkj) * (*(mik++)); |
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| 441 | s32 += (*(mjkp++)) * (*mkpi); |
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| 442 | mkj += n; |
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| 443 | mkpi += n; |
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| 444 | } |
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| 445 | *mij = -(*mii) * (((*(mij-n)))*( (*(mii-1)))+(s31)); |
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| 446 | *mji = -s32; |
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| 447 | mj += n; |
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| 448 | mji += n; |
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| 449 | mij++; |
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| 450 | } |
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| 451 | *(mii-1) = -(*mii) * (*mimim) * (*(mii-1)); |
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| 452 | *(mimim+1) = -(*(mimim+1)); |
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| 453 | mi += n; |
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| 454 | mimim += (n+1); |
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| 455 | mii += (n+1); |
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| 456 | } |
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| 457 | } |
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| 458 | G4ErrorMatrixIter mi = m.begin(); |
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| 459 | G4ErrorMatrixIter mii = m.begin(); |
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| 460 | for (G4int i=1;i<n;i++) |
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| 461 | { |
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| 462 | G4int ni = n - i; |
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| 463 | G4ErrorMatrixIter mij = mi; |
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| 464 | G4int j; |
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| 465 | for (j=1; j<=i;j++) |
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| 466 | { |
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| 467 | s33 = *mij; |
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| 468 | G4ErrorMatrixIter mikj = mi + n + j - 1; |
---|
| 469 | G4ErrorMatrixIter miik = mii + 1; |
---|
| 470 | G4ErrorMatrixIter min_end = mi + n; |
---|
| 471 | for (;miik<min_end;) |
---|
| 472 | { |
---|
| 473 | s33 += (*mikj) * (*(miik++)); |
---|
| 474 | mikj += n; |
---|
| 475 | } |
---|
| 476 | *(mij++) = s33; |
---|
| 477 | } |
---|
| 478 | for (j=1;j<=ni;j++) |
---|
| 479 | { |
---|
| 480 | s34 = 0.0; |
---|
| 481 | G4ErrorMatrixIter miik = mii + j; |
---|
| 482 | G4ErrorMatrixIter mikij = mii + j * n + j; |
---|
| 483 | for (G4int k=j;k<=ni;k++) |
---|
| 484 | { |
---|
| 485 | s34 += *mikij * (*(miik++)); |
---|
| 486 | mikij += n; |
---|
| 487 | } |
---|
| 488 | *(mii+j) = s34; |
---|
| 489 | } |
---|
| 490 | mi += n; |
---|
| 491 | mii += (n+1); |
---|
| 492 | } |
---|
| 493 | G4int nxch = ir[n]; |
---|
| 494 | if (nxch==0) return 0; |
---|
| 495 | for (G4int mm=1;mm<=nxch;mm++) |
---|
| 496 | { |
---|
| 497 | G4int k = nxch - mm + 1; |
---|
| 498 | G4int ij = ir[k]; |
---|
| 499 | G4int i = ij >> 12; |
---|
| 500 | G4int j = ij%4096; |
---|
| 501 | G4ErrorMatrixIter mki = m.begin() + i - 1; |
---|
| 502 | G4ErrorMatrixIter mkj = m.begin() + j - 1; |
---|
| 503 | for (k=1; k<=n;k++) |
---|
| 504 | { |
---|
| 505 | // 2/24/05 David Sachs fix of improper swap bug that was present |
---|
| 506 | // for many years: |
---|
| 507 | G4double ti = *mki; // 2/24/05 |
---|
| 508 | *mki = *mkj; |
---|
| 509 | *mkj = ti; // 2/24/05 |
---|
| 510 | mki += n; |
---|
| 511 | mkj += n; |
---|
| 512 | } |
---|
| 513 | } |
---|
| 514 | return 0; |
---|
| 515 | } |
---|
| 516 | |
---|
| 517 | G4int G4ErrorMatrix::dfact_matrix(G4double &det, G4int *ir) |
---|
| 518 | { |
---|
| 519 | if (ncol!=nrow) |
---|
| 520 | error("dfact_matrix: G4ErrorMatrix is not NxN"); |
---|
| 521 | |
---|
| 522 | G4int ifail, jfail; |
---|
| 523 | G4int n = ncol; |
---|
| 524 | |
---|
| 525 | G4double tf; |
---|
| 526 | G4double g1 = 1.0e-19, g2 = 1.0e19; |
---|
| 527 | |
---|
| 528 | G4double p, q, t; |
---|
| 529 | G4double s11, s12; |
---|
| 530 | |
---|
| 531 | G4double epsilon = 8*DBL_EPSILON; |
---|
| 532 | // could be set to zero (like it was before) |
---|
| 533 | // but then the algorithm often doesn't detect |
---|
| 534 | // that a matrix is singular |
---|
| 535 | |
---|
| 536 | G4int normal = 0, imposs = -1; |
---|
| 537 | G4int jrange = 0, jover = 1, junder = -1; |
---|
| 538 | ifail = normal; |
---|
| 539 | jfail = jrange; |
---|
| 540 | G4int nxch = 0; |
---|
| 541 | det = 1.0; |
---|
| 542 | G4ErrorMatrixIter mj = m.begin(); |
---|
| 543 | G4ErrorMatrixIter mjj = mj; |
---|
| 544 | for (G4int j=1;j<=n;j++) |
---|
| 545 | { |
---|
| 546 | G4int k = j; |
---|
| 547 | p = (std::fabs(*mjj)); |
---|
| 548 | if (j!=n) { |
---|
| 549 | G4ErrorMatrixIter mij = mj + n + j - 1; |
---|
| 550 | for (G4int i=j+1;i<=n;i++) |
---|
| 551 | { |
---|
| 552 | q = (std::fabs(*(mij))); |
---|
| 553 | if (q > p) |
---|
| 554 | { |
---|
| 555 | k = i; |
---|
| 556 | p = q; |
---|
| 557 | } |
---|
| 558 | mij += n; |
---|
| 559 | } |
---|
| 560 | if (k==j) |
---|
| 561 | { |
---|
| 562 | if (p <= epsilon) |
---|
| 563 | { |
---|
| 564 | det = 0; |
---|
| 565 | ifail = imposs; |
---|
| 566 | jfail = jrange; |
---|
| 567 | return ifail; |
---|
| 568 | } |
---|
| 569 | det = -det; // in this case the sign of the determinant |
---|
| 570 | // must not change. So I change it twice. |
---|
| 571 | } |
---|
| 572 | G4ErrorMatrixIter mjl = mj; |
---|
| 573 | G4ErrorMatrixIter mkl = m.begin() + (k-1)*n; |
---|
| 574 | for (G4int l=1;l<=n;l++) |
---|
| 575 | { |
---|
| 576 | tf = *mjl; |
---|
| 577 | *(mjl++) = *mkl; |
---|
| 578 | *(mkl++) = tf; |
---|
| 579 | } |
---|
| 580 | nxch = nxch + 1; // this makes the determinant change its sign |
---|
| 581 | ir[nxch] = (((j)<<12)+(k)); |
---|
| 582 | } |
---|
| 583 | else |
---|
| 584 | { |
---|
| 585 | if (p <= epsilon) |
---|
| 586 | { |
---|
| 587 | det = 0.0; |
---|
| 588 | ifail = imposs; |
---|
| 589 | jfail = jrange; |
---|
| 590 | return ifail; |
---|
| 591 | } |
---|
| 592 | } |
---|
| 593 | det *= *mjj; |
---|
| 594 | *mjj = 1.0 / *mjj; |
---|
| 595 | t = (std::fabs(det)); |
---|
| 596 | if (t < g1) |
---|
| 597 | { |
---|
| 598 | det = 0.0; |
---|
| 599 | if (jfail == jrange) jfail = junder; |
---|
| 600 | } |
---|
| 601 | else if (t > g2) |
---|
| 602 | { |
---|
| 603 | det = 1.0; |
---|
| 604 | if (jfail==jrange) jfail = jover; |
---|
| 605 | } |
---|
| 606 | if (j!=n) |
---|
| 607 | { |
---|
| 608 | G4ErrorMatrixIter mk = mj + n; |
---|
| 609 | G4ErrorMatrixIter mkjp = mk + j; |
---|
| 610 | G4ErrorMatrixIter mjk = mj + j; |
---|
| 611 | for (k=j+1;k<=n;k++) |
---|
| 612 | { |
---|
| 613 | s11 = - (*mjk); |
---|
| 614 | s12 = - (*mkjp); |
---|
| 615 | if (j!=1) |
---|
| 616 | { |
---|
| 617 | G4ErrorMatrixIter mik = m.begin() + k - 1; |
---|
| 618 | G4ErrorMatrixIter mijp = m.begin() + j; |
---|
| 619 | G4ErrorMatrixIter mki = mk; |
---|
| 620 | G4ErrorMatrixIter mji = mj; |
---|
| 621 | for (G4int i=1;i<j;i++) |
---|
| 622 | { |
---|
| 623 | s11 += (*mik) * (*(mji++)); |
---|
| 624 | s12 += (*mijp) * (*(mki++)); |
---|
| 625 | mik += n; |
---|
| 626 | mijp += n; |
---|
| 627 | } |
---|
| 628 | } |
---|
| 629 | *(mjk++) = -s11 * (*mjj); |
---|
| 630 | *(mkjp) = -(((*(mjj+1)))*((*(mkjp-1)))+(s12)); |
---|
| 631 | mk += n; |
---|
| 632 | mkjp += n; |
---|
| 633 | } |
---|
| 634 | } |
---|
| 635 | mj += n; |
---|
| 636 | mjj += (n+1); |
---|
| 637 | } |
---|
| 638 | if (nxch%2==1) det = -det; |
---|
| 639 | if (jfail !=jrange) det = 0.0; |
---|
| 640 | ir[n] = nxch; |
---|
| 641 | return 0; |
---|
| 642 | } |
---|
| 643 | |
---|
| 644 | void G4ErrorMatrix::invert(G4int &ierr) |
---|
| 645 | { |
---|
| 646 | if(ncol != nrow) |
---|
| 647 | { error("G4ErrorMatrix::invert: G4ErrorMatrix is not NxN"); } |
---|
| 648 | |
---|
| 649 | static G4int max_array = 20; |
---|
| 650 | static G4int *ir = new G4int [max_array+1]; |
---|
| 651 | |
---|
| 652 | if (ncol > max_array) |
---|
| 653 | { |
---|
| 654 | delete [] ir; |
---|
| 655 | max_array = nrow; |
---|
| 656 | ir = new G4int [max_array+1]; |
---|
| 657 | } |
---|
| 658 | G4double t1, t2, t3; |
---|
| 659 | G4double det, temp, s; |
---|
| 660 | G4int ifail; |
---|
| 661 | switch(nrow) |
---|
| 662 | { |
---|
| 663 | case 3: |
---|
| 664 | G4double c11,c12,c13,c21,c22,c23,c31,c32,c33; |
---|
| 665 | ifail = 0; |
---|
| 666 | c11 = (*(m.begin()+4)) * (*(m.begin()+8)) |
---|
| 667 | - (*(m.begin()+5)) * (*(m.begin()+7)); |
---|
| 668 | c12 = (*(m.begin()+5)) * (*(m.begin()+6)) |
---|
| 669 | - (*(m.begin()+3)) * (*(m.begin()+8)); |
---|
| 670 | c13 = (*(m.begin()+3)) * (*(m.begin()+7)) |
---|
| 671 | - (*(m.begin()+4)) * (*(m.begin()+6)); |
---|
| 672 | c21 = (*(m.begin()+7)) * (*(m.begin()+2)) |
---|
| 673 | - (*(m.begin()+8)) * (*(m.begin()+1)); |
---|
| 674 | c22 = (*(m.begin()+8)) * (*m.begin()) |
---|
| 675 | - (*(m.begin()+6)) * (*(m.begin()+2)); |
---|
| 676 | c23 = (*(m.begin()+6)) * (*(m.begin()+1)) |
---|
| 677 | - (*(m.begin()+7)) * (*m.begin()); |
---|
| 678 | c31 = (*(m.begin()+1)) * (*(m.begin()+5)) |
---|
| 679 | - (*(m.begin()+2)) * (*(m.begin()+4)); |
---|
| 680 | c32 = (*(m.begin()+2)) * (*(m.begin()+3)) |
---|
| 681 | - (*m.begin()) * (*(m.begin()+5)); |
---|
| 682 | c33 = (*m.begin()) * (*(m.begin()+4)) |
---|
| 683 | - (*(m.begin()+1)) * (*(m.begin()+3)); |
---|
| 684 | t1 = std::fabs(*m.begin()); |
---|
| 685 | t2 = std::fabs(*(m.begin()+3)); |
---|
| 686 | t3 = std::fabs(*(m.begin()+6)); |
---|
| 687 | if (t1 >= t2) |
---|
| 688 | { |
---|
| 689 | if (t3 >= t1) |
---|
| 690 | { |
---|
| 691 | temp = *(m.begin()+6); |
---|
| 692 | det = c23*c12-c22*c13; |
---|
| 693 | } |
---|
| 694 | else |
---|
| 695 | { |
---|
| 696 | temp = *(m.begin()); |
---|
| 697 | det = c22*c33-c23*c32; |
---|
| 698 | } |
---|
| 699 | } |
---|
| 700 | else if (t3 >= t2) |
---|
| 701 | { |
---|
| 702 | temp = *(m.begin()+6); |
---|
| 703 | det = c23*c12-c22*c13; |
---|
| 704 | } |
---|
| 705 | else |
---|
| 706 | { |
---|
| 707 | temp = *(m.begin()+3); |
---|
| 708 | det = c13*c32-c12*c33; |
---|
| 709 | } |
---|
| 710 | if (det==0) |
---|
| 711 | { |
---|
| 712 | ierr = 1; |
---|
| 713 | return; |
---|
| 714 | } |
---|
| 715 | { |
---|
| 716 | G4double s = temp/det; |
---|
| 717 | G4ErrorMatrixIter mm = m.begin(); |
---|
| 718 | *(mm++) = s*c11; |
---|
| 719 | *(mm++) = s*c21; |
---|
| 720 | *(mm++) = s*c31; |
---|
| 721 | *(mm++) = s*c12; |
---|
| 722 | *(mm++) = s*c22; |
---|
| 723 | *(mm++) = s*c32; |
---|
| 724 | *(mm++) = s*c13; |
---|
| 725 | *(mm++) = s*c23; |
---|
| 726 | *(mm) = s*c33; |
---|
| 727 | } |
---|
| 728 | break; |
---|
| 729 | case 2: |
---|
| 730 | ifail = 0; |
---|
| 731 | det = (*m.begin())*(*(m.begin()+3)) - (*(m.begin()+1))*(*(m.begin()+2)); |
---|
| 732 | if (det==0) |
---|
| 733 | { |
---|
| 734 | ierr = 1; |
---|
| 735 | return; |
---|
| 736 | } |
---|
| 737 | s = 1.0/det; |
---|
| 738 | temp = s*(*(m.begin()+3)); |
---|
| 739 | *(m.begin()+1) *= -s; |
---|
| 740 | *(m.begin()+2) *= -s; |
---|
| 741 | *(m.begin()+3) = s*(*m.begin()); |
---|
| 742 | *(m.begin()) = temp; |
---|
| 743 | break; |
---|
| 744 | case 1: |
---|
| 745 | ifail = 0; |
---|
| 746 | if ((*(m.begin()))==0) |
---|
| 747 | { |
---|
| 748 | ierr = 1; |
---|
| 749 | return; |
---|
| 750 | } |
---|
| 751 | *(m.begin()) = 1.0/(*(m.begin())); |
---|
| 752 | break; |
---|
| 753 | case 4: |
---|
| 754 | invertHaywood4(ierr); |
---|
| 755 | return; |
---|
| 756 | case 5: |
---|
| 757 | invertHaywood5(ierr); |
---|
| 758 | return; |
---|
| 759 | case 6: |
---|
| 760 | invertHaywood6(ierr); |
---|
| 761 | return; |
---|
| 762 | default: |
---|
| 763 | ifail = dfact_matrix(det, ir); |
---|
| 764 | if(ifail) { |
---|
| 765 | ierr = 1; |
---|
| 766 | return; |
---|
| 767 | } |
---|
| 768 | dfinv_matrix(ir); |
---|
| 769 | break; |
---|
| 770 | } |
---|
| 771 | ierr = 0; |
---|
| 772 | return; |
---|
| 773 | } |
---|
| 774 | |
---|
| 775 | G4double G4ErrorMatrix::determinant() const |
---|
| 776 | { |
---|
| 777 | static G4int max_array = 20; |
---|
| 778 | static G4int *ir = new G4int [max_array+1]; |
---|
| 779 | if(ncol != nrow) |
---|
| 780 | { error("G4ErrorMatrix::determinant: G4ErrorMatrix is not NxN"); } |
---|
| 781 | if (ncol > max_array) |
---|
| 782 | { |
---|
| 783 | delete [] ir; |
---|
| 784 | max_array = nrow; |
---|
| 785 | ir = new G4int [max_array+1]; |
---|
| 786 | } |
---|
| 787 | G4double det; |
---|
| 788 | G4ErrorMatrix mt(*this); |
---|
| 789 | G4int i = mt.dfact_matrix(det, ir); |
---|
| 790 | if(i==0) return det; |
---|
| 791 | return 0; |
---|
| 792 | } |
---|
| 793 | |
---|
| 794 | G4double G4ErrorMatrix::trace() const |
---|
| 795 | { |
---|
| 796 | G4double t = 0.0; |
---|
| 797 | for (G4ErrorMatrixConstIter d = m.begin(); d < m.end(); d += (ncol+1) ) |
---|
| 798 | { |
---|
| 799 | t += *d; |
---|
| 800 | } |
---|
| 801 | return t; |
---|
| 802 | } |
---|
| 803 | |
---|
| 804 | void G4ErrorMatrix::error(const char *s) |
---|
| 805 | { |
---|
| 806 | G4cerr << s << G4endl; |
---|
| 807 | G4cerr << "---Exiting to System." << G4endl; |
---|
| 808 | abort(); |
---|
| 809 | } |
---|
| 810 | |
---|
| 811 | |
---|
| 812 | // Aij are indices for a 6x6 matrix. |
---|
| 813 | // Mij are indices for a 5x5 matrix. |
---|
| 814 | // Fij are indices for a 4x4 matrix. |
---|
| 815 | |
---|
| 816 | #define A00 0 |
---|
| 817 | #define A01 1 |
---|
| 818 | #define A02 2 |
---|
| 819 | #define A03 3 |
---|
| 820 | #define A04 4 |
---|
| 821 | #define A05 5 |
---|
| 822 | |
---|
| 823 | #define A10 6 |
---|
| 824 | #define A11 7 |
---|
| 825 | #define A12 8 |
---|
| 826 | #define A13 9 |
---|
| 827 | #define A14 10 |
---|
| 828 | #define A15 11 |
---|
| 829 | |
---|
| 830 | #define A20 12 |
---|
| 831 | #define A21 13 |
---|
| 832 | #define A22 14 |
---|
| 833 | #define A23 15 |
---|
| 834 | #define A24 16 |
---|
| 835 | #define A25 17 |
---|
| 836 | |
---|
| 837 | #define A30 18 |
---|
| 838 | #define A31 19 |
---|
| 839 | #define A32 20 |
---|
| 840 | #define A33 21 |
---|
| 841 | #define A34 22 |
---|
| 842 | #define A35 23 |
---|
| 843 | |
---|
| 844 | #define A40 24 |
---|
| 845 | #define A41 25 |
---|
| 846 | #define A42 26 |
---|
| 847 | #define A43 27 |
---|
| 848 | #define A44 28 |
---|
| 849 | #define A45 29 |
---|
| 850 | |
---|
| 851 | #define A50 30 |
---|
| 852 | #define A51 31 |
---|
| 853 | #define A52 32 |
---|
| 854 | #define A53 33 |
---|
| 855 | #define A54 34 |
---|
| 856 | #define A55 35 |
---|
| 857 | |
---|
| 858 | #define M00 0 |
---|
| 859 | #define M01 1 |
---|
| 860 | #define M02 2 |
---|
| 861 | #define M03 3 |
---|
| 862 | #define M04 4 |
---|
| 863 | |
---|
| 864 | #define M10 5 |
---|
| 865 | #define M11 6 |
---|
| 866 | #define M12 7 |
---|
| 867 | #define M13 8 |
---|
| 868 | #define M14 9 |
---|
| 869 | |
---|
| 870 | #define M20 10 |
---|
| 871 | #define M21 11 |
---|
| 872 | #define M22 12 |
---|
| 873 | #define M23 13 |
---|
| 874 | #define M24 14 |
---|
| 875 | |
---|
| 876 | #define M30 15 |
---|
| 877 | #define M31 16 |
---|
| 878 | #define M32 17 |
---|
| 879 | #define M33 18 |
---|
| 880 | #define M34 19 |
---|
| 881 | |
---|
| 882 | #define M40 20 |
---|
| 883 | #define M41 21 |
---|
| 884 | #define M42 22 |
---|
| 885 | #define M43 23 |
---|
| 886 | #define M44 24 |
---|
| 887 | |
---|
| 888 | #define F00 0 |
---|
| 889 | #define F01 1 |
---|
| 890 | #define F02 2 |
---|
| 891 | #define F03 3 |
---|
| 892 | |
---|
| 893 | #define F10 4 |
---|
| 894 | #define F11 5 |
---|
| 895 | #define F12 6 |
---|
| 896 | #define F13 7 |
---|
| 897 | |
---|
| 898 | #define F20 8 |
---|
| 899 | #define F21 9 |
---|
| 900 | #define F22 10 |
---|
| 901 | #define F23 11 |
---|
| 902 | |
---|
| 903 | #define F30 12 |
---|
| 904 | #define F31 13 |
---|
| 905 | #define F32 14 |
---|
| 906 | #define F33 15 |
---|
| 907 | |
---|
| 908 | |
---|
| 909 | void G4ErrorMatrix::invertHaywood4 (G4int & ifail) |
---|
| 910 | { |
---|
| 911 | ifail = 0; |
---|
| 912 | |
---|
| 913 | // Find all NECESSARY 2x2 dets: (18 of them) |
---|
| 914 | |
---|
| 915 | G4double Det2_12_01 = m[F10]*m[F21] - m[F11]*m[F20]; |
---|
| 916 | G4double Det2_12_02 = m[F10]*m[F22] - m[F12]*m[F20]; |
---|
| 917 | G4double Det2_12_03 = m[F10]*m[F23] - m[F13]*m[F20]; |
---|
| 918 | G4double Det2_12_13 = m[F11]*m[F23] - m[F13]*m[F21]; |
---|
| 919 | G4double Det2_12_23 = m[F12]*m[F23] - m[F13]*m[F22]; |
---|
| 920 | G4double Det2_12_12 = m[F11]*m[F22] - m[F12]*m[F21]; |
---|
| 921 | G4double Det2_13_01 = m[F10]*m[F31] - m[F11]*m[F30]; |
---|
| 922 | G4double Det2_13_02 = m[F10]*m[F32] - m[F12]*m[F30]; |
---|
| 923 | G4double Det2_13_03 = m[F10]*m[F33] - m[F13]*m[F30]; |
---|
| 924 | G4double Det2_13_12 = m[F11]*m[F32] - m[F12]*m[F31]; |
---|
| 925 | G4double Det2_13_13 = m[F11]*m[F33] - m[F13]*m[F31]; |
---|
| 926 | G4double Det2_13_23 = m[F12]*m[F33] - m[F13]*m[F32]; |
---|
| 927 | G4double Det2_23_01 = m[F20]*m[F31] - m[F21]*m[F30]; |
---|
| 928 | G4double Det2_23_02 = m[F20]*m[F32] - m[F22]*m[F30]; |
---|
| 929 | G4double Det2_23_03 = m[F20]*m[F33] - m[F23]*m[F30]; |
---|
| 930 | G4double Det2_23_12 = m[F21]*m[F32] - m[F22]*m[F31]; |
---|
| 931 | G4double Det2_23_13 = m[F21]*m[F33] - m[F23]*m[F31]; |
---|
| 932 | G4double Det2_23_23 = m[F22]*m[F33] - m[F23]*m[F32]; |
---|
| 933 | |
---|
| 934 | // Find all NECESSARY 3x3 dets: (16 of them) |
---|
| 935 | |
---|
| 936 | G4double Det3_012_012 = m[F00]*Det2_12_12 - m[F01]*Det2_12_02 |
---|
| 937 | + m[F02]*Det2_12_01; |
---|
| 938 | G4double Det3_012_013 = m[F00]*Det2_12_13 - m[F01]*Det2_12_03 |
---|
| 939 | + m[F03]*Det2_12_01; |
---|
| 940 | G4double Det3_012_023 = m[F00]*Det2_12_23 - m[F02]*Det2_12_03 |
---|
| 941 | + m[F03]*Det2_12_02; |
---|
| 942 | G4double Det3_012_123 = m[F01]*Det2_12_23 - m[F02]*Det2_12_13 |
---|
| 943 | + m[F03]*Det2_12_12; |
---|
| 944 | G4double Det3_013_012 = m[F00]*Det2_13_12 - m[F01]*Det2_13_02 |
---|
| 945 | + m[F02]*Det2_13_01; |
---|
| 946 | G4double Det3_013_013 = m[F00]*Det2_13_13 - m[F01]*Det2_13_03 |
---|
| 947 | + m[F03]*Det2_13_01; |
---|
| 948 | G4double Det3_013_023 = m[F00]*Det2_13_23 - m[F02]*Det2_13_03 |
---|
| 949 | + m[F03]*Det2_13_02; |
---|
| 950 | G4double Det3_013_123 = m[F01]*Det2_13_23 - m[F02]*Det2_13_13 |
---|
| 951 | + m[F03]*Det2_13_12; |
---|
| 952 | G4double Det3_023_012 = m[F00]*Det2_23_12 - m[F01]*Det2_23_02 |
---|
| 953 | + m[F02]*Det2_23_01; |
---|
| 954 | G4double Det3_023_013 = m[F00]*Det2_23_13 - m[F01]*Det2_23_03 |
---|
| 955 | + m[F03]*Det2_23_01; |
---|
| 956 | G4double Det3_023_023 = m[F00]*Det2_23_23 - m[F02]*Det2_23_03 |
---|
| 957 | + m[F03]*Det2_23_02; |
---|
| 958 | G4double Det3_023_123 = m[F01]*Det2_23_23 - m[F02]*Det2_23_13 |
---|
| 959 | + m[F03]*Det2_23_12; |
---|
| 960 | G4double Det3_123_012 = m[F10]*Det2_23_12 - m[F11]*Det2_23_02 |
---|
| 961 | + m[F12]*Det2_23_01; |
---|
| 962 | G4double Det3_123_013 = m[F10]*Det2_23_13 - m[F11]*Det2_23_03 |
---|
| 963 | + m[F13]*Det2_23_01; |
---|
| 964 | G4double Det3_123_023 = m[F10]*Det2_23_23 - m[F12]*Det2_23_03 |
---|
| 965 | + m[F13]*Det2_23_02; |
---|
| 966 | G4double Det3_123_123 = m[F11]*Det2_23_23 - m[F12]*Det2_23_13 |
---|
| 967 | + m[F13]*Det2_23_12; |
---|
| 968 | |
---|
| 969 | // Find the 4x4 det: |
---|
| 970 | |
---|
| 971 | G4double det = m[F00]*Det3_123_123 |
---|
| 972 | - m[F01]*Det3_123_023 |
---|
| 973 | + m[F02]*Det3_123_013 |
---|
| 974 | - m[F03]*Det3_123_012; |
---|
| 975 | |
---|
| 976 | if ( det == 0 ) |
---|
| 977 | { |
---|
| 978 | ifail = 1; |
---|
| 979 | return; |
---|
| 980 | } |
---|
| 981 | |
---|
| 982 | G4double oneOverDet = 1.0/det; |
---|
| 983 | G4double mn1OverDet = - oneOverDet; |
---|
| 984 | |
---|
| 985 | m[F00] = Det3_123_123 * oneOverDet; |
---|
| 986 | m[F01] = Det3_023_123 * mn1OverDet; |
---|
| 987 | m[F02] = Det3_013_123 * oneOverDet; |
---|
| 988 | m[F03] = Det3_012_123 * mn1OverDet; |
---|
| 989 | |
---|
| 990 | m[F10] = Det3_123_023 * mn1OverDet; |
---|
| 991 | m[F11] = Det3_023_023 * oneOverDet; |
---|
| 992 | m[F12] = Det3_013_023 * mn1OverDet; |
---|
| 993 | m[F13] = Det3_012_023 * oneOverDet; |
---|
| 994 | |
---|
| 995 | m[F20] = Det3_123_013 * oneOverDet; |
---|
| 996 | m[F21] = Det3_023_013 * mn1OverDet; |
---|
| 997 | m[F22] = Det3_013_013 * oneOverDet; |
---|
| 998 | m[F23] = Det3_012_013 * mn1OverDet; |
---|
| 999 | |
---|
| 1000 | m[F30] = Det3_123_012 * mn1OverDet; |
---|
| 1001 | m[F31] = Det3_023_012 * oneOverDet; |
---|
| 1002 | m[F32] = Det3_013_012 * mn1OverDet; |
---|
| 1003 | m[F33] = Det3_012_012 * oneOverDet; |
---|
| 1004 | |
---|
| 1005 | return; |
---|
| 1006 | } |
---|
| 1007 | |
---|
| 1008 | void G4ErrorMatrix::invertHaywood5 (G4int & ifail) |
---|
| 1009 | { |
---|
| 1010 | ifail = 0; |
---|
| 1011 | |
---|
| 1012 | // Find all NECESSARY 2x2 dets: (30 of them) |
---|
| 1013 | |
---|
| 1014 | G4double Det2_23_01 = m[M20]*m[M31] - m[M21]*m[M30]; |
---|
| 1015 | G4double Det2_23_02 = m[M20]*m[M32] - m[M22]*m[M30]; |
---|
| 1016 | G4double Det2_23_03 = m[M20]*m[M33] - m[M23]*m[M30]; |
---|
| 1017 | G4double Det2_23_04 = m[M20]*m[M34] - m[M24]*m[M30]; |
---|
| 1018 | G4double Det2_23_12 = m[M21]*m[M32] - m[M22]*m[M31]; |
---|
| 1019 | G4double Det2_23_13 = m[M21]*m[M33] - m[M23]*m[M31]; |
---|
| 1020 | G4double Det2_23_14 = m[M21]*m[M34] - m[M24]*m[M31]; |
---|
| 1021 | G4double Det2_23_23 = m[M22]*m[M33] - m[M23]*m[M32]; |
---|
| 1022 | G4double Det2_23_24 = m[M22]*m[M34] - m[M24]*m[M32]; |
---|
| 1023 | G4double Det2_23_34 = m[M23]*m[M34] - m[M24]*m[M33]; |
---|
| 1024 | G4double Det2_24_01 = m[M20]*m[M41] - m[M21]*m[M40]; |
---|
| 1025 | G4double Det2_24_02 = m[M20]*m[M42] - m[M22]*m[M40]; |
---|
| 1026 | G4double Det2_24_03 = m[M20]*m[M43] - m[M23]*m[M40]; |
---|
| 1027 | G4double Det2_24_04 = m[M20]*m[M44] - m[M24]*m[M40]; |
---|
| 1028 | G4double Det2_24_12 = m[M21]*m[M42] - m[M22]*m[M41]; |
---|
| 1029 | G4double Det2_24_13 = m[M21]*m[M43] - m[M23]*m[M41]; |
---|
| 1030 | G4double Det2_24_14 = m[M21]*m[M44] - m[M24]*m[M41]; |
---|
| 1031 | G4double Det2_24_23 = m[M22]*m[M43] - m[M23]*m[M42]; |
---|
| 1032 | G4double Det2_24_24 = m[M22]*m[M44] - m[M24]*m[M42]; |
---|
| 1033 | G4double Det2_24_34 = m[M23]*m[M44] - m[M24]*m[M43]; |
---|
| 1034 | G4double Det2_34_01 = m[M30]*m[M41] - m[M31]*m[M40]; |
---|
| 1035 | G4double Det2_34_02 = m[M30]*m[M42] - m[M32]*m[M40]; |
---|
| 1036 | G4double Det2_34_03 = m[M30]*m[M43] - m[M33]*m[M40]; |
---|
| 1037 | G4double Det2_34_04 = m[M30]*m[M44] - m[M34]*m[M40]; |
---|
| 1038 | G4double Det2_34_12 = m[M31]*m[M42] - m[M32]*m[M41]; |
---|
| 1039 | G4double Det2_34_13 = m[M31]*m[M43] - m[M33]*m[M41]; |
---|
| 1040 | G4double Det2_34_14 = m[M31]*m[M44] - m[M34]*m[M41]; |
---|
| 1041 | G4double Det2_34_23 = m[M32]*m[M43] - m[M33]*m[M42]; |
---|
| 1042 | G4double Det2_34_24 = m[M32]*m[M44] - m[M34]*m[M42]; |
---|
| 1043 | G4double Det2_34_34 = m[M33]*m[M44] - m[M34]*m[M43]; |
---|
| 1044 | |
---|
| 1045 | // Find all NECESSARY 3x3 dets: (40 of them) |
---|
| 1046 | |
---|
| 1047 | G4double Det3_123_012 = m[M10]*Det2_23_12 - m[M11]*Det2_23_02 |
---|
| 1048 | + m[M12]*Det2_23_01; |
---|
| 1049 | G4double Det3_123_013 = m[M10]*Det2_23_13 - m[M11]*Det2_23_03 |
---|
| 1050 | + m[M13]*Det2_23_01; |
---|
| 1051 | G4double Det3_123_014 = m[M10]*Det2_23_14 - m[M11]*Det2_23_04 |
---|
| 1052 | + m[M14]*Det2_23_01; |
---|
| 1053 | G4double Det3_123_023 = m[M10]*Det2_23_23 - m[M12]*Det2_23_03 |
---|
| 1054 | + m[M13]*Det2_23_02; |
---|
| 1055 | G4double Det3_123_024 = m[M10]*Det2_23_24 - m[M12]*Det2_23_04 |
---|
| 1056 | + m[M14]*Det2_23_02; |
---|
| 1057 | G4double Det3_123_034 = m[M10]*Det2_23_34 - m[M13]*Det2_23_04 |
---|
| 1058 | + m[M14]*Det2_23_03; |
---|
| 1059 | G4double Det3_123_123 = m[M11]*Det2_23_23 - m[M12]*Det2_23_13 |
---|
| 1060 | + m[M13]*Det2_23_12; |
---|
| 1061 | G4double Det3_123_124 = m[M11]*Det2_23_24 - m[M12]*Det2_23_14 |
---|
| 1062 | + m[M14]*Det2_23_12; |
---|
| 1063 | G4double Det3_123_134 = m[M11]*Det2_23_34 - m[M13]*Det2_23_14 |
---|
| 1064 | + m[M14]*Det2_23_13; |
---|
| 1065 | G4double Det3_123_234 = m[M12]*Det2_23_34 - m[M13]*Det2_23_24 |
---|
| 1066 | + m[M14]*Det2_23_23; |
---|
| 1067 | G4double Det3_124_012 = m[M10]*Det2_24_12 - m[M11]*Det2_24_02 |
---|
| 1068 | + m[M12]*Det2_24_01; |
---|
| 1069 | G4double Det3_124_013 = m[M10]*Det2_24_13 - m[M11]*Det2_24_03 |
---|
| 1070 | + m[M13]*Det2_24_01; |
---|
| 1071 | G4double Det3_124_014 = m[M10]*Det2_24_14 - m[M11]*Det2_24_04 |
---|
| 1072 | + m[M14]*Det2_24_01; |
---|
| 1073 | G4double Det3_124_023 = m[M10]*Det2_24_23 - m[M12]*Det2_24_03 |
---|
| 1074 | + m[M13]*Det2_24_02; |
---|
| 1075 | G4double Det3_124_024 = m[M10]*Det2_24_24 - m[M12]*Det2_24_04 |
---|
| 1076 | + m[M14]*Det2_24_02; |
---|
| 1077 | G4double Det3_124_034 = m[M10]*Det2_24_34 - m[M13]*Det2_24_04 |
---|
| 1078 | + m[M14]*Det2_24_03; |
---|
| 1079 | G4double Det3_124_123 = m[M11]*Det2_24_23 - m[M12]*Det2_24_13 |
---|
| 1080 | + m[M13]*Det2_24_12; |
---|
| 1081 | G4double Det3_124_124 = m[M11]*Det2_24_24 - m[M12]*Det2_24_14 |
---|
| 1082 | + m[M14]*Det2_24_12; |
---|
| 1083 | G4double Det3_124_134 = m[M11]*Det2_24_34 - m[M13]*Det2_24_14 |
---|
| 1084 | + m[M14]*Det2_24_13; |
---|
| 1085 | G4double Det3_124_234 = m[M12]*Det2_24_34 - m[M13]*Det2_24_24 |
---|
| 1086 | + m[M14]*Det2_24_23; |
---|
| 1087 | G4double Det3_134_012 = m[M10]*Det2_34_12 - m[M11]*Det2_34_02 |
---|
| 1088 | + m[M12]*Det2_34_01; |
---|
| 1089 | G4double Det3_134_013 = m[M10]*Det2_34_13 - m[M11]*Det2_34_03 |
---|
| 1090 | + m[M13]*Det2_34_01; |
---|
| 1091 | G4double Det3_134_014 = m[M10]*Det2_34_14 - m[M11]*Det2_34_04 |
---|
| 1092 | + m[M14]*Det2_34_01; |
---|
| 1093 | G4double Det3_134_023 = m[M10]*Det2_34_23 - m[M12]*Det2_34_03 |
---|
| 1094 | + m[M13]*Det2_34_02; |
---|
| 1095 | G4double Det3_134_024 = m[M10]*Det2_34_24 - m[M12]*Det2_34_04 |
---|
| 1096 | + m[M14]*Det2_34_02; |
---|
| 1097 | G4double Det3_134_034 = m[M10]*Det2_34_34 - m[M13]*Det2_34_04 |
---|
| 1098 | + m[M14]*Det2_34_03; |
---|
| 1099 | G4double Det3_134_123 = m[M11]*Det2_34_23 - m[M12]*Det2_34_13 |
---|
| 1100 | + m[M13]*Det2_34_12; |
---|
| 1101 | G4double Det3_134_124 = m[M11]*Det2_34_24 - m[M12]*Det2_34_14 |
---|
| 1102 | + m[M14]*Det2_34_12; |
---|
| 1103 | G4double Det3_134_134 = m[M11]*Det2_34_34 - m[M13]*Det2_34_14 |
---|
| 1104 | + m[M14]*Det2_34_13; |
---|
| 1105 | G4double Det3_134_234 = m[M12]*Det2_34_34 - m[M13]*Det2_34_24 |
---|
| 1106 | + m[M14]*Det2_34_23; |
---|
| 1107 | G4double Det3_234_012 = m[M20]*Det2_34_12 - m[M21]*Det2_34_02 |
---|
| 1108 | + m[M22]*Det2_34_01; |
---|
| 1109 | G4double Det3_234_013 = m[M20]*Det2_34_13 - m[M21]*Det2_34_03 |
---|
| 1110 | + m[M23]*Det2_34_01; |
---|
| 1111 | G4double Det3_234_014 = m[M20]*Det2_34_14 - m[M21]*Det2_34_04 |
---|
| 1112 | + m[M24]*Det2_34_01; |
---|
| 1113 | G4double Det3_234_023 = m[M20]*Det2_34_23 - m[M22]*Det2_34_03 |
---|
| 1114 | + m[M23]*Det2_34_02; |
---|
| 1115 | G4double Det3_234_024 = m[M20]*Det2_34_24 - m[M22]*Det2_34_04 |
---|
| 1116 | + m[M24]*Det2_34_02; |
---|
| 1117 | G4double Det3_234_034 = m[M20]*Det2_34_34 - m[M23]*Det2_34_04 |
---|
| 1118 | + m[M24]*Det2_34_03; |
---|
| 1119 | G4double Det3_234_123 = m[M21]*Det2_34_23 - m[M22]*Det2_34_13 |
---|
| 1120 | + m[M23]*Det2_34_12; |
---|
| 1121 | G4double Det3_234_124 = m[M21]*Det2_34_24 - m[M22]*Det2_34_14 |
---|
| 1122 | + m[M24]*Det2_34_12; |
---|
| 1123 | G4double Det3_234_134 = m[M21]*Det2_34_34 - m[M23]*Det2_34_14 |
---|
| 1124 | + m[M24]*Det2_34_13; |
---|
| 1125 | G4double Det3_234_234 = m[M22]*Det2_34_34 - m[M23]*Det2_34_24 |
---|
| 1126 | + m[M24]*Det2_34_23; |
---|
| 1127 | |
---|
| 1128 | // Find all NECESSARY 4x4 dets: (25 of them) |
---|
| 1129 | |
---|
| 1130 | G4double Det4_0123_0123 = m[M00]*Det3_123_123 - m[M01]*Det3_123_023 |
---|
| 1131 | + m[M02]*Det3_123_013 - m[M03]*Det3_123_012; |
---|
| 1132 | G4double Det4_0123_0124 = m[M00]*Det3_123_124 - m[M01]*Det3_123_024 |
---|
| 1133 | + m[M02]*Det3_123_014 - m[M04]*Det3_123_012; |
---|
| 1134 | G4double Det4_0123_0134 = m[M00]*Det3_123_134 - m[M01]*Det3_123_034 |
---|
| 1135 | + m[M03]*Det3_123_014 - m[M04]*Det3_123_013; |
---|
| 1136 | G4double Det4_0123_0234 = m[M00]*Det3_123_234 - m[M02]*Det3_123_034 |
---|
| 1137 | + m[M03]*Det3_123_024 - m[M04]*Det3_123_023; |
---|
| 1138 | G4double Det4_0123_1234 = m[M01]*Det3_123_234 - m[M02]*Det3_123_134 |
---|
| 1139 | + m[M03]*Det3_123_124 - m[M04]*Det3_123_123; |
---|
| 1140 | G4double Det4_0124_0123 = m[M00]*Det3_124_123 - m[M01]*Det3_124_023 |
---|
| 1141 | + m[M02]*Det3_124_013 - m[M03]*Det3_124_012; |
---|
| 1142 | G4double Det4_0124_0124 = m[M00]*Det3_124_124 - m[M01]*Det3_124_024 |
---|
| 1143 | + m[M02]*Det3_124_014 - m[M04]*Det3_124_012; |
---|
| 1144 | G4double Det4_0124_0134 = m[M00]*Det3_124_134 - m[M01]*Det3_124_034 |
---|
| 1145 | + m[M03]*Det3_124_014 - m[M04]*Det3_124_013; |
---|
| 1146 | G4double Det4_0124_0234 = m[M00]*Det3_124_234 - m[M02]*Det3_124_034 |
---|
| 1147 | + m[M03]*Det3_124_024 - m[M04]*Det3_124_023; |
---|
| 1148 | G4double Det4_0124_1234 = m[M01]*Det3_124_234 - m[M02]*Det3_124_134 |
---|
| 1149 | + m[M03]*Det3_124_124 - m[M04]*Det3_124_123; |
---|
| 1150 | G4double Det4_0134_0123 = m[M00]*Det3_134_123 - m[M01]*Det3_134_023 |
---|
| 1151 | + m[M02]*Det3_134_013 - m[M03]*Det3_134_012; |
---|
| 1152 | G4double Det4_0134_0124 = m[M00]*Det3_134_124 - m[M01]*Det3_134_024 |
---|
| 1153 | + m[M02]*Det3_134_014 - m[M04]*Det3_134_012; |
---|
| 1154 | G4double Det4_0134_0134 = m[M00]*Det3_134_134 - m[M01]*Det3_134_034 |
---|
| 1155 | + m[M03]*Det3_134_014 - m[M04]*Det3_134_013; |
---|
| 1156 | G4double Det4_0134_0234 = m[M00]*Det3_134_234 - m[M02]*Det3_134_034 |
---|
| 1157 | + m[M03]*Det3_134_024 - m[M04]*Det3_134_023; |
---|
| 1158 | G4double Det4_0134_1234 = m[M01]*Det3_134_234 - m[M02]*Det3_134_134 |
---|
| 1159 | + m[M03]*Det3_134_124 - m[M04]*Det3_134_123; |
---|
| 1160 | G4double Det4_0234_0123 = m[M00]*Det3_234_123 - m[M01]*Det3_234_023 |
---|
| 1161 | + m[M02]*Det3_234_013 - m[M03]*Det3_234_012; |
---|
| 1162 | G4double Det4_0234_0124 = m[M00]*Det3_234_124 - m[M01]*Det3_234_024 |
---|
| 1163 | + m[M02]*Det3_234_014 - m[M04]*Det3_234_012; |
---|
| 1164 | G4double Det4_0234_0134 = m[M00]*Det3_234_134 - m[M01]*Det3_234_034 |
---|
| 1165 | + m[M03]*Det3_234_014 - m[M04]*Det3_234_013; |
---|
| 1166 | G4double Det4_0234_0234 = m[M00]*Det3_234_234 - m[M02]*Det3_234_034 |
---|
| 1167 | + m[M03]*Det3_234_024 - m[M04]*Det3_234_023; |
---|
| 1168 | G4double Det4_0234_1234 = m[M01]*Det3_234_234 - m[M02]*Det3_234_134 |
---|
| 1169 | + m[M03]*Det3_234_124 - m[M04]*Det3_234_123; |
---|
| 1170 | G4double Det4_1234_0123 = m[M10]*Det3_234_123 - m[M11]*Det3_234_023 |
---|
| 1171 | + m[M12]*Det3_234_013 - m[M13]*Det3_234_012; |
---|
| 1172 | G4double Det4_1234_0124 = m[M10]*Det3_234_124 - m[M11]*Det3_234_024 |
---|
| 1173 | + m[M12]*Det3_234_014 - m[M14]*Det3_234_012; |
---|
| 1174 | G4double Det4_1234_0134 = m[M10]*Det3_234_134 - m[M11]*Det3_234_034 |
---|
| 1175 | + m[M13]*Det3_234_014 - m[M14]*Det3_234_013; |
---|
| 1176 | G4double Det4_1234_0234 = m[M10]*Det3_234_234 - m[M12]*Det3_234_034 |
---|
| 1177 | + m[M13]*Det3_234_024 - m[M14]*Det3_234_023; |
---|
| 1178 | G4double Det4_1234_1234 = m[M11]*Det3_234_234 - m[M12]*Det3_234_134 |
---|
| 1179 | + m[M13]*Det3_234_124 - m[M14]*Det3_234_123; |
---|
| 1180 | |
---|
| 1181 | // Find the 5x5 det: |
---|
| 1182 | |
---|
| 1183 | G4double det = m[M00]*Det4_1234_1234 |
---|
| 1184 | - m[M01]*Det4_1234_0234 |
---|
| 1185 | + m[M02]*Det4_1234_0134 |
---|
| 1186 | - m[M03]*Det4_1234_0124 |
---|
| 1187 | + m[M04]*Det4_1234_0123; |
---|
| 1188 | |
---|
| 1189 | if ( det == 0 ) |
---|
| 1190 | { |
---|
| 1191 | ifail = 1; |
---|
| 1192 | return; |
---|
| 1193 | } |
---|
| 1194 | |
---|
| 1195 | G4double oneOverDet = 1.0/det; |
---|
| 1196 | G4double mn1OverDet = - oneOverDet; |
---|
| 1197 | |
---|
| 1198 | m[M00] = Det4_1234_1234 * oneOverDet; |
---|
| 1199 | m[M01] = Det4_0234_1234 * mn1OverDet; |
---|
| 1200 | m[M02] = Det4_0134_1234 * oneOverDet; |
---|
| 1201 | m[M03] = Det4_0124_1234 * mn1OverDet; |
---|
| 1202 | m[M04] = Det4_0123_1234 * oneOverDet; |
---|
| 1203 | |
---|
| 1204 | m[M10] = Det4_1234_0234 * mn1OverDet; |
---|
| 1205 | m[M11] = Det4_0234_0234 * oneOverDet; |
---|
| 1206 | m[M12] = Det4_0134_0234 * mn1OverDet; |
---|
| 1207 | m[M13] = Det4_0124_0234 * oneOverDet; |
---|
| 1208 | m[M14] = Det4_0123_0234 * mn1OverDet; |
---|
| 1209 | |
---|
| 1210 | m[M20] = Det4_1234_0134 * oneOverDet; |
---|
| 1211 | m[M21] = Det4_0234_0134 * mn1OverDet; |
---|
| 1212 | m[M22] = Det4_0134_0134 * oneOverDet; |
---|
| 1213 | m[M23] = Det4_0124_0134 * mn1OverDet; |
---|
| 1214 | m[M24] = Det4_0123_0134 * oneOverDet; |
---|
| 1215 | |
---|
| 1216 | m[M30] = Det4_1234_0124 * mn1OverDet; |
---|
| 1217 | m[M31] = Det4_0234_0124 * oneOverDet; |
---|
| 1218 | m[M32] = Det4_0134_0124 * mn1OverDet; |
---|
| 1219 | m[M33] = Det4_0124_0124 * oneOverDet; |
---|
| 1220 | m[M34] = Det4_0123_0124 * mn1OverDet; |
---|
| 1221 | |
---|
| 1222 | m[M40] = Det4_1234_0123 * oneOverDet; |
---|
| 1223 | m[M41] = Det4_0234_0123 * mn1OverDet; |
---|
| 1224 | m[M42] = Det4_0134_0123 * oneOverDet; |
---|
| 1225 | m[M43] = Det4_0124_0123 * mn1OverDet; |
---|
| 1226 | m[M44] = Det4_0123_0123 * oneOverDet; |
---|
| 1227 | |
---|
| 1228 | return; |
---|
| 1229 | } |
---|
| 1230 | |
---|
| 1231 | void G4ErrorMatrix::invertHaywood6 (G4int & ifail) |
---|
| 1232 | { |
---|
| 1233 | ifail = 0; |
---|
| 1234 | |
---|
| 1235 | // Find all NECESSARY 2x2 dets: (45 of them) |
---|
| 1236 | |
---|
| 1237 | G4double Det2_34_01 = m[A30]*m[A41] - m[A31]*m[A40]; |
---|
| 1238 | G4double Det2_34_02 = m[A30]*m[A42] - m[A32]*m[A40]; |
---|
| 1239 | G4double Det2_34_03 = m[A30]*m[A43] - m[A33]*m[A40]; |
---|
| 1240 | G4double Det2_34_04 = m[A30]*m[A44] - m[A34]*m[A40]; |
---|
| 1241 | G4double Det2_34_05 = m[A30]*m[A45] - m[A35]*m[A40]; |
---|
| 1242 | G4double Det2_34_12 = m[A31]*m[A42] - m[A32]*m[A41]; |
---|
| 1243 | G4double Det2_34_13 = m[A31]*m[A43] - m[A33]*m[A41]; |
---|
| 1244 | G4double Det2_34_14 = m[A31]*m[A44] - m[A34]*m[A41]; |
---|
| 1245 | G4double Det2_34_15 = m[A31]*m[A45] - m[A35]*m[A41]; |
---|
| 1246 | G4double Det2_34_23 = m[A32]*m[A43] - m[A33]*m[A42]; |
---|
| 1247 | G4double Det2_34_24 = m[A32]*m[A44] - m[A34]*m[A42]; |
---|
| 1248 | G4double Det2_34_25 = m[A32]*m[A45] - m[A35]*m[A42]; |
---|
| 1249 | G4double Det2_34_34 = m[A33]*m[A44] - m[A34]*m[A43]; |
---|
| 1250 | G4double Det2_34_35 = m[A33]*m[A45] - m[A35]*m[A43]; |
---|
| 1251 | G4double Det2_34_45 = m[A34]*m[A45] - m[A35]*m[A44]; |
---|
| 1252 | G4double Det2_35_01 = m[A30]*m[A51] - m[A31]*m[A50]; |
---|
| 1253 | G4double Det2_35_02 = m[A30]*m[A52] - m[A32]*m[A50]; |
---|
| 1254 | G4double Det2_35_03 = m[A30]*m[A53] - m[A33]*m[A50]; |
---|
| 1255 | G4double Det2_35_04 = m[A30]*m[A54] - m[A34]*m[A50]; |
---|
| 1256 | G4double Det2_35_05 = m[A30]*m[A55] - m[A35]*m[A50]; |
---|
| 1257 | G4double Det2_35_12 = m[A31]*m[A52] - m[A32]*m[A51]; |
---|
| 1258 | G4double Det2_35_13 = m[A31]*m[A53] - m[A33]*m[A51]; |
---|
| 1259 | G4double Det2_35_14 = m[A31]*m[A54] - m[A34]*m[A51]; |
---|
| 1260 | G4double Det2_35_15 = m[A31]*m[A55] - m[A35]*m[A51]; |
---|
| 1261 | G4double Det2_35_23 = m[A32]*m[A53] - m[A33]*m[A52]; |
---|
| 1262 | G4double Det2_35_24 = m[A32]*m[A54] - m[A34]*m[A52]; |
---|
| 1263 | G4double Det2_35_25 = m[A32]*m[A55] - m[A35]*m[A52]; |
---|
| 1264 | G4double Det2_35_34 = m[A33]*m[A54] - m[A34]*m[A53]; |
---|
| 1265 | G4double Det2_35_35 = m[A33]*m[A55] - m[A35]*m[A53]; |
---|
| 1266 | G4double Det2_35_45 = m[A34]*m[A55] - m[A35]*m[A54]; |
---|
| 1267 | G4double Det2_45_01 = m[A40]*m[A51] - m[A41]*m[A50]; |
---|
| 1268 | G4double Det2_45_02 = m[A40]*m[A52] - m[A42]*m[A50]; |
---|
| 1269 | G4double Det2_45_03 = m[A40]*m[A53] - m[A43]*m[A50]; |
---|
| 1270 | G4double Det2_45_04 = m[A40]*m[A54] - m[A44]*m[A50]; |
---|
| 1271 | G4double Det2_45_05 = m[A40]*m[A55] - m[A45]*m[A50]; |
---|
| 1272 | G4double Det2_45_12 = m[A41]*m[A52] - m[A42]*m[A51]; |
---|
| 1273 | G4double Det2_45_13 = m[A41]*m[A53] - m[A43]*m[A51]; |
---|
| 1274 | G4double Det2_45_14 = m[A41]*m[A54] - m[A44]*m[A51]; |
---|
| 1275 | G4double Det2_45_15 = m[A41]*m[A55] - m[A45]*m[A51]; |
---|
| 1276 | G4double Det2_45_23 = m[A42]*m[A53] - m[A43]*m[A52]; |
---|
| 1277 | G4double Det2_45_24 = m[A42]*m[A54] - m[A44]*m[A52]; |
---|
| 1278 | G4double Det2_45_25 = m[A42]*m[A55] - m[A45]*m[A52]; |
---|
| 1279 | G4double Det2_45_34 = m[A43]*m[A54] - m[A44]*m[A53]; |
---|
| 1280 | G4double Det2_45_35 = m[A43]*m[A55] - m[A45]*m[A53]; |
---|
| 1281 | G4double Det2_45_45 = m[A44]*m[A55] - m[A45]*m[A54]; |
---|
| 1282 | |
---|
| 1283 | // Find all NECESSARY 3x3 dets: (80 of them) |
---|
| 1284 | |
---|
| 1285 | G4double Det3_234_012 = m[A20]*Det2_34_12 - m[A21]*Det2_34_02 |
---|
| 1286 | + m[A22]*Det2_34_01; |
---|
| 1287 | G4double Det3_234_013 = m[A20]*Det2_34_13 - m[A21]*Det2_34_03 |
---|
| 1288 | + m[A23]*Det2_34_01; |
---|
| 1289 | G4double Det3_234_014 = m[A20]*Det2_34_14 - m[A21]*Det2_34_04 |
---|
| 1290 | + m[A24]*Det2_34_01; |
---|
| 1291 | G4double Det3_234_015 = m[A20]*Det2_34_15 - m[A21]*Det2_34_05 |
---|
| 1292 | + m[A25]*Det2_34_01; |
---|
| 1293 | G4double Det3_234_023 = m[A20]*Det2_34_23 - m[A22]*Det2_34_03 |
---|
| 1294 | + m[A23]*Det2_34_02; |
---|
| 1295 | G4double Det3_234_024 = m[A20]*Det2_34_24 - m[A22]*Det2_34_04 |
---|
| 1296 | + m[A24]*Det2_34_02; |
---|
| 1297 | G4double Det3_234_025 = m[A20]*Det2_34_25 - m[A22]*Det2_34_05 |
---|
| 1298 | + m[A25]*Det2_34_02; |
---|
| 1299 | G4double Det3_234_034 = m[A20]*Det2_34_34 - m[A23]*Det2_34_04 |
---|
| 1300 | + m[A24]*Det2_34_03; |
---|
| 1301 | G4double Det3_234_035 = m[A20]*Det2_34_35 - m[A23]*Det2_34_05 |
---|
| 1302 | + m[A25]*Det2_34_03; |
---|
| 1303 | G4double Det3_234_045 = m[A20]*Det2_34_45 - m[A24]*Det2_34_05 |
---|
| 1304 | + m[A25]*Det2_34_04; |
---|
| 1305 | G4double Det3_234_123 = m[A21]*Det2_34_23 - m[A22]*Det2_34_13 |
---|
| 1306 | + m[A23]*Det2_34_12; |
---|
| 1307 | G4double Det3_234_124 = m[A21]*Det2_34_24 - m[A22]*Det2_34_14 |
---|
| 1308 | + m[A24]*Det2_34_12; |
---|
| 1309 | G4double Det3_234_125 = m[A21]*Det2_34_25 - m[A22]*Det2_34_15 |
---|
| 1310 | + m[A25]*Det2_34_12; |
---|
| 1311 | G4double Det3_234_134 = m[A21]*Det2_34_34 - m[A23]*Det2_34_14 |
---|
| 1312 | + m[A24]*Det2_34_13; |
---|
| 1313 | G4double Det3_234_135 = m[A21]*Det2_34_35 - m[A23]*Det2_34_15 |
---|
| 1314 | + m[A25]*Det2_34_13; |
---|
| 1315 | G4double Det3_234_145 = m[A21]*Det2_34_45 - m[A24]*Det2_34_15 |
---|
| 1316 | + m[A25]*Det2_34_14; |
---|
| 1317 | G4double Det3_234_234 = m[A22]*Det2_34_34 - m[A23]*Det2_34_24 |
---|
| 1318 | + m[A24]*Det2_34_23; |
---|
| 1319 | G4double Det3_234_235 = m[A22]*Det2_34_35 - m[A23]*Det2_34_25 |
---|
| 1320 | + m[A25]*Det2_34_23; |
---|
| 1321 | G4double Det3_234_245 = m[A22]*Det2_34_45 - m[A24]*Det2_34_25 |
---|
| 1322 | + m[A25]*Det2_34_24; |
---|
| 1323 | G4double Det3_234_345 = m[A23]*Det2_34_45 - m[A24]*Det2_34_35 |
---|
| 1324 | + m[A25]*Det2_34_34; |
---|
| 1325 | G4double Det3_235_012 = m[A20]*Det2_35_12 - m[A21]*Det2_35_02 |
---|
| 1326 | + m[A22]*Det2_35_01; |
---|
| 1327 | G4double Det3_235_013 = m[A20]*Det2_35_13 - m[A21]*Det2_35_03 |
---|
| 1328 | + m[A23]*Det2_35_01; |
---|
| 1329 | G4double Det3_235_014 = m[A20]*Det2_35_14 - m[A21]*Det2_35_04 |
---|
| 1330 | + m[A24]*Det2_35_01; |
---|
| 1331 | G4double Det3_235_015 = m[A20]*Det2_35_15 - m[A21]*Det2_35_05 |
---|
| 1332 | + m[A25]*Det2_35_01; |
---|
| 1333 | G4double Det3_235_023 = m[A20]*Det2_35_23 - m[A22]*Det2_35_03 |
---|
| 1334 | + m[A23]*Det2_35_02; |
---|
| 1335 | G4double Det3_235_024 = m[A20]*Det2_35_24 - m[A22]*Det2_35_04 |
---|
| 1336 | + m[A24]*Det2_35_02; |
---|
| 1337 | G4double Det3_235_025 = m[A20]*Det2_35_25 - m[A22]*Det2_35_05 |
---|
| 1338 | + m[A25]*Det2_35_02; |
---|
| 1339 | G4double Det3_235_034 = m[A20]*Det2_35_34 - m[A23]*Det2_35_04 |
---|
| 1340 | + m[A24]*Det2_35_03; |
---|
| 1341 | G4double Det3_235_035 = m[A20]*Det2_35_35 - m[A23]*Det2_35_05 |
---|
| 1342 | + m[A25]*Det2_35_03; |
---|
| 1343 | G4double Det3_235_045 = m[A20]*Det2_35_45 - m[A24]*Det2_35_05 |
---|
| 1344 | + m[A25]*Det2_35_04; |
---|
| 1345 | G4double Det3_235_123 = m[A21]*Det2_35_23 - m[A22]*Det2_35_13 |
---|
| 1346 | + m[A23]*Det2_35_12; |
---|
| 1347 | G4double Det3_235_124 = m[A21]*Det2_35_24 - m[A22]*Det2_35_14 |
---|
| 1348 | + m[A24]*Det2_35_12; |
---|
| 1349 | G4double Det3_235_125 = m[A21]*Det2_35_25 - m[A22]*Det2_35_15 |
---|
| 1350 | + m[A25]*Det2_35_12; |
---|
| 1351 | G4double Det3_235_134 = m[A21]*Det2_35_34 - m[A23]*Det2_35_14 |
---|
| 1352 | + m[A24]*Det2_35_13; |
---|
| 1353 | G4double Det3_235_135 = m[A21]*Det2_35_35 - m[A23]*Det2_35_15 |
---|
| 1354 | + m[A25]*Det2_35_13; |
---|
| 1355 | G4double Det3_235_145 = m[A21]*Det2_35_45 - m[A24]*Det2_35_15 |
---|
| 1356 | + m[A25]*Det2_35_14; |
---|
| 1357 | G4double Det3_235_234 = m[A22]*Det2_35_34 - m[A23]*Det2_35_24 |
---|
| 1358 | + m[A24]*Det2_35_23; |
---|
| 1359 | G4double Det3_235_235 = m[A22]*Det2_35_35 - m[A23]*Det2_35_25 |
---|
| 1360 | + m[A25]*Det2_35_23; |
---|
| 1361 | G4double Det3_235_245 = m[A22]*Det2_35_45 - m[A24]*Det2_35_25 |
---|
| 1362 | + m[A25]*Det2_35_24; |
---|
| 1363 | G4double Det3_235_345 = m[A23]*Det2_35_45 - m[A24]*Det2_35_35 |
---|
| 1364 | + m[A25]*Det2_35_34; |
---|
| 1365 | G4double Det3_245_012 = m[A20]*Det2_45_12 - m[A21]*Det2_45_02 |
---|
| 1366 | + m[A22]*Det2_45_01; |
---|
| 1367 | G4double Det3_245_013 = m[A20]*Det2_45_13 - m[A21]*Det2_45_03 |
---|
| 1368 | + m[A23]*Det2_45_01; |
---|
| 1369 | G4double Det3_245_014 = m[A20]*Det2_45_14 - m[A21]*Det2_45_04 |
---|
| 1370 | + m[A24]*Det2_45_01; |
---|
| 1371 | G4double Det3_245_015 = m[A20]*Det2_45_15 - m[A21]*Det2_45_05 |
---|
| 1372 | + m[A25]*Det2_45_01; |
---|
| 1373 | G4double Det3_245_023 = m[A20]*Det2_45_23 - m[A22]*Det2_45_03 |
---|
| 1374 | + m[A23]*Det2_45_02; |
---|
| 1375 | G4double Det3_245_024 = m[A20]*Det2_45_24 - m[A22]*Det2_45_04 |
---|
| 1376 | + m[A24]*Det2_45_02; |
---|
| 1377 | G4double Det3_245_025 = m[A20]*Det2_45_25 - m[A22]*Det2_45_05 |
---|
| 1378 | + m[A25]*Det2_45_02; |
---|
| 1379 | G4double Det3_245_034 = m[A20]*Det2_45_34 - m[A23]*Det2_45_04 |
---|
| 1380 | + m[A24]*Det2_45_03; |
---|
| 1381 | G4double Det3_245_035 = m[A20]*Det2_45_35 - m[A23]*Det2_45_05 |
---|
| 1382 | + m[A25]*Det2_45_03; |
---|
| 1383 | G4double Det3_245_045 = m[A20]*Det2_45_45 - m[A24]*Det2_45_05 |
---|
| 1384 | + m[A25]*Det2_45_04; |
---|
| 1385 | G4double Det3_245_123 = m[A21]*Det2_45_23 - m[A22]*Det2_45_13 |
---|
| 1386 | + m[A23]*Det2_45_12; |
---|
| 1387 | G4double Det3_245_124 = m[A21]*Det2_45_24 - m[A22]*Det2_45_14 |
---|
| 1388 | + m[A24]*Det2_45_12; |
---|
| 1389 | G4double Det3_245_125 = m[A21]*Det2_45_25 - m[A22]*Det2_45_15 |
---|
| 1390 | + m[A25]*Det2_45_12; |
---|
| 1391 | G4double Det3_245_134 = m[A21]*Det2_45_34 - m[A23]*Det2_45_14 |
---|
| 1392 | + m[A24]*Det2_45_13; |
---|
| 1393 | G4double Det3_245_135 = m[A21]*Det2_45_35 - m[A23]*Det2_45_15 |
---|
| 1394 | + m[A25]*Det2_45_13; |
---|
| 1395 | G4double Det3_245_145 = m[A21]*Det2_45_45 - m[A24]*Det2_45_15 |
---|
| 1396 | + m[A25]*Det2_45_14; |
---|
| 1397 | G4double Det3_245_234 = m[A22]*Det2_45_34 - m[A23]*Det2_45_24 |
---|
| 1398 | + m[A24]*Det2_45_23; |
---|
| 1399 | G4double Det3_245_235 = m[A22]*Det2_45_35 - m[A23]*Det2_45_25 |
---|
| 1400 | + m[A25]*Det2_45_23; |
---|
| 1401 | G4double Det3_245_245 = m[A22]*Det2_45_45 - m[A24]*Det2_45_25 |
---|
| 1402 | + m[A25]*Det2_45_24; |
---|
| 1403 | G4double Det3_245_345 = m[A23]*Det2_45_45 - m[A24]*Det2_45_35 |
---|
| 1404 | + m[A25]*Det2_45_34; |
---|
| 1405 | G4double Det3_345_012 = m[A30]*Det2_45_12 - m[A31]*Det2_45_02 |
---|
| 1406 | + m[A32]*Det2_45_01; |
---|
| 1407 | G4double Det3_345_013 = m[A30]*Det2_45_13 - m[A31]*Det2_45_03 |
---|
| 1408 | + m[A33]*Det2_45_01; |
---|
| 1409 | G4double Det3_345_014 = m[A30]*Det2_45_14 - m[A31]*Det2_45_04 |
---|
| 1410 | + m[A34]*Det2_45_01; |
---|
| 1411 | G4double Det3_345_015 = m[A30]*Det2_45_15 - m[A31]*Det2_45_05 |
---|
| 1412 | + m[A35]*Det2_45_01; |
---|
| 1413 | G4double Det3_345_023 = m[A30]*Det2_45_23 - m[A32]*Det2_45_03 |
---|
| 1414 | + m[A33]*Det2_45_02; |
---|
| 1415 | G4double Det3_345_024 = m[A30]*Det2_45_24 - m[A32]*Det2_45_04 |
---|
| 1416 | + m[A34]*Det2_45_02; |
---|
| 1417 | G4double Det3_345_025 = m[A30]*Det2_45_25 - m[A32]*Det2_45_05 |
---|
| 1418 | + m[A35]*Det2_45_02; |
---|
| 1419 | G4double Det3_345_034 = m[A30]*Det2_45_34 - m[A33]*Det2_45_04 |
---|
| 1420 | + m[A34]*Det2_45_03; |
---|
| 1421 | G4double Det3_345_035 = m[A30]*Det2_45_35 - m[A33]*Det2_45_05 |
---|
| 1422 | + m[A35]*Det2_45_03; |
---|
| 1423 | G4double Det3_345_045 = m[A30]*Det2_45_45 - m[A34]*Det2_45_05 |
---|
| 1424 | + m[A35]*Det2_45_04; |
---|
| 1425 | G4double Det3_345_123 = m[A31]*Det2_45_23 - m[A32]*Det2_45_13 |
---|
| 1426 | + m[A33]*Det2_45_12; |
---|
| 1427 | G4double Det3_345_124 = m[A31]*Det2_45_24 - m[A32]*Det2_45_14 |
---|
| 1428 | + m[A34]*Det2_45_12; |
---|
| 1429 | G4double Det3_345_125 = m[A31]*Det2_45_25 - m[A32]*Det2_45_15 |
---|
| 1430 | + m[A35]*Det2_45_12; |
---|
| 1431 | G4double Det3_345_134 = m[A31]*Det2_45_34 - m[A33]*Det2_45_14 |
---|
| 1432 | + m[A34]*Det2_45_13; |
---|
| 1433 | G4double Det3_345_135 = m[A31]*Det2_45_35 - m[A33]*Det2_45_15 |
---|
| 1434 | + m[A35]*Det2_45_13; |
---|
| 1435 | G4double Det3_345_145 = m[A31]*Det2_45_45 - m[A34]*Det2_45_15 |
---|
| 1436 | + m[A35]*Det2_45_14; |
---|
| 1437 | G4double Det3_345_234 = m[A32]*Det2_45_34 - m[A33]*Det2_45_24 |
---|
| 1438 | + m[A34]*Det2_45_23; |
---|
| 1439 | G4double Det3_345_235 = m[A32]*Det2_45_35 - m[A33]*Det2_45_25 |
---|
| 1440 | + m[A35]*Det2_45_23; |
---|
| 1441 | G4double Det3_345_245 = m[A32]*Det2_45_45 - m[A34]*Det2_45_25 |
---|
| 1442 | + m[A35]*Det2_45_24; |
---|
| 1443 | G4double Det3_345_345 = m[A33]*Det2_45_45 - m[A34]*Det2_45_35 |
---|
| 1444 | + m[A35]*Det2_45_34; |
---|
| 1445 | |
---|
| 1446 | // Find all NECESSARY 4x4 dets: (75 of them) |
---|
| 1447 | |
---|
| 1448 | G4double Det4_1234_0123 = m[A10]*Det3_234_123 - m[A11]*Det3_234_023 |
---|
| 1449 | + m[A12]*Det3_234_013 - m[A13]*Det3_234_012; |
---|
| 1450 | G4double Det4_1234_0124 = m[A10]*Det3_234_124 - m[A11]*Det3_234_024 |
---|
| 1451 | + m[A12]*Det3_234_014 - m[A14]*Det3_234_012; |
---|
| 1452 | G4double Det4_1234_0125 = m[A10]*Det3_234_125 - m[A11]*Det3_234_025 |
---|
| 1453 | + m[A12]*Det3_234_015 - m[A15]*Det3_234_012; |
---|
| 1454 | G4double Det4_1234_0134 = m[A10]*Det3_234_134 - m[A11]*Det3_234_034 |
---|
| 1455 | + m[A13]*Det3_234_014 - m[A14]*Det3_234_013; |
---|
| 1456 | G4double Det4_1234_0135 = m[A10]*Det3_234_135 - m[A11]*Det3_234_035 |
---|
| 1457 | + m[A13]*Det3_234_015 - m[A15]*Det3_234_013; |
---|
| 1458 | G4double Det4_1234_0145 = m[A10]*Det3_234_145 - m[A11]*Det3_234_045 |
---|
| 1459 | + m[A14]*Det3_234_015 - m[A15]*Det3_234_014; |
---|
| 1460 | G4double Det4_1234_0234 = m[A10]*Det3_234_234 - m[A12]*Det3_234_034 |
---|
| 1461 | + m[A13]*Det3_234_024 - m[A14]*Det3_234_023; |
---|
| 1462 | G4double Det4_1234_0235 = m[A10]*Det3_234_235 - m[A12]*Det3_234_035 |
---|
| 1463 | + m[A13]*Det3_234_025 - m[A15]*Det3_234_023; |
---|
| 1464 | G4double Det4_1234_0245 = m[A10]*Det3_234_245 - m[A12]*Det3_234_045 |
---|
| 1465 | + m[A14]*Det3_234_025 - m[A15]*Det3_234_024; |
---|
| 1466 | G4double Det4_1234_0345 = m[A10]*Det3_234_345 - m[A13]*Det3_234_045 |
---|
| 1467 | + m[A14]*Det3_234_035 - m[A15]*Det3_234_034; |
---|
| 1468 | G4double Det4_1234_1234 = m[A11]*Det3_234_234 - m[A12]*Det3_234_134 |
---|
| 1469 | + m[A13]*Det3_234_124 - m[A14]*Det3_234_123; |
---|
| 1470 | G4double Det4_1234_1235 = m[A11]*Det3_234_235 - m[A12]*Det3_234_135 |
---|
| 1471 | + m[A13]*Det3_234_125 - m[A15]*Det3_234_123; |
---|
| 1472 | G4double Det4_1234_1245 = m[A11]*Det3_234_245 - m[A12]*Det3_234_145 |
---|
| 1473 | + m[A14]*Det3_234_125 - m[A15]*Det3_234_124; |
---|
| 1474 | G4double Det4_1234_1345 = m[A11]*Det3_234_345 - m[A13]*Det3_234_145 |
---|
| 1475 | + m[A14]*Det3_234_135 - m[A15]*Det3_234_134; |
---|
| 1476 | G4double Det4_1234_2345 = m[A12]*Det3_234_345 - m[A13]*Det3_234_245 |
---|
| 1477 | + m[A14]*Det3_234_235 - m[A15]*Det3_234_234; |
---|
| 1478 | G4double Det4_1235_0123 = m[A10]*Det3_235_123 - m[A11]*Det3_235_023 |
---|
| 1479 | + m[A12]*Det3_235_013 - m[A13]*Det3_235_012; |
---|
| 1480 | G4double Det4_1235_0124 = m[A10]*Det3_235_124 - m[A11]*Det3_235_024 |
---|
| 1481 | + m[A12]*Det3_235_014 - m[A14]*Det3_235_012; |
---|
| 1482 | G4double Det4_1235_0125 = m[A10]*Det3_235_125 - m[A11]*Det3_235_025 |
---|
| 1483 | + m[A12]*Det3_235_015 - m[A15]*Det3_235_012; |
---|
| 1484 | G4double Det4_1235_0134 = m[A10]*Det3_235_134 - m[A11]*Det3_235_034 |
---|
| 1485 | + m[A13]*Det3_235_014 - m[A14]*Det3_235_013; |
---|
| 1486 | G4double Det4_1235_0135 = m[A10]*Det3_235_135 - m[A11]*Det3_235_035 |
---|
| 1487 | + m[A13]*Det3_235_015 - m[A15]*Det3_235_013; |
---|
| 1488 | G4double Det4_1235_0145 = m[A10]*Det3_235_145 - m[A11]*Det3_235_045 |
---|
| 1489 | + m[A14]*Det3_235_015 - m[A15]*Det3_235_014; |
---|
| 1490 | G4double Det4_1235_0234 = m[A10]*Det3_235_234 - m[A12]*Det3_235_034 |
---|
| 1491 | + m[A13]*Det3_235_024 - m[A14]*Det3_235_023; |
---|
| 1492 | G4double Det4_1235_0235 = m[A10]*Det3_235_235 - m[A12]*Det3_235_035 |
---|
| 1493 | + m[A13]*Det3_235_025 - m[A15]*Det3_235_023; |
---|
| 1494 | G4double Det4_1235_0245 = m[A10]*Det3_235_245 - m[A12]*Det3_235_045 |
---|
| 1495 | + m[A14]*Det3_235_025 - m[A15]*Det3_235_024; |
---|
| 1496 | G4double Det4_1235_0345 = m[A10]*Det3_235_345 - m[A13]*Det3_235_045 |
---|
| 1497 | + m[A14]*Det3_235_035 - m[A15]*Det3_235_034; |
---|
| 1498 | G4double Det4_1235_1234 = m[A11]*Det3_235_234 - m[A12]*Det3_235_134 |
---|
| 1499 | + m[A13]*Det3_235_124 - m[A14]*Det3_235_123; |
---|
| 1500 | G4double Det4_1235_1235 = m[A11]*Det3_235_235 - m[A12]*Det3_235_135 |
---|
| 1501 | + m[A13]*Det3_235_125 - m[A15]*Det3_235_123; |
---|
| 1502 | G4double Det4_1235_1245 = m[A11]*Det3_235_245 - m[A12]*Det3_235_145 |
---|
| 1503 | + m[A14]*Det3_235_125 - m[A15]*Det3_235_124; |
---|
| 1504 | G4double Det4_1235_1345 = m[A11]*Det3_235_345 - m[A13]*Det3_235_145 |
---|
| 1505 | + m[A14]*Det3_235_135 - m[A15]*Det3_235_134; |
---|
| 1506 | G4double Det4_1235_2345 = m[A12]*Det3_235_345 - m[A13]*Det3_235_245 |
---|
| 1507 | + m[A14]*Det3_235_235 - m[A15]*Det3_235_234; |
---|
| 1508 | G4double Det4_1245_0123 = m[A10]*Det3_245_123 - m[A11]*Det3_245_023 |
---|
| 1509 | + m[A12]*Det3_245_013 - m[A13]*Det3_245_012; |
---|
| 1510 | G4double Det4_1245_0124 = m[A10]*Det3_245_124 - m[A11]*Det3_245_024 |
---|
| 1511 | + m[A12]*Det3_245_014 - m[A14]*Det3_245_012; |
---|
| 1512 | G4double Det4_1245_0125 = m[A10]*Det3_245_125 - m[A11]*Det3_245_025 |
---|
| 1513 | + m[A12]*Det3_245_015 - m[A15]*Det3_245_012; |
---|
| 1514 | G4double Det4_1245_0134 = m[A10]*Det3_245_134 - m[A11]*Det3_245_034 |
---|
| 1515 | + m[A13]*Det3_245_014 - m[A14]*Det3_245_013; |
---|
| 1516 | G4double Det4_1245_0135 = m[A10]*Det3_245_135 - m[A11]*Det3_245_035 |
---|
| 1517 | + m[A13]*Det3_245_015 - m[A15]*Det3_245_013; |
---|
| 1518 | G4double Det4_1245_0145 = m[A10]*Det3_245_145 - m[A11]*Det3_245_045 |
---|
| 1519 | + m[A14]*Det3_245_015 - m[A15]*Det3_245_014; |
---|
| 1520 | G4double Det4_1245_0234 = m[A10]*Det3_245_234 - m[A12]*Det3_245_034 |
---|
| 1521 | + m[A13]*Det3_245_024 - m[A14]*Det3_245_023; |
---|
| 1522 | G4double Det4_1245_0235 = m[A10]*Det3_245_235 - m[A12]*Det3_245_035 |
---|
| 1523 | + m[A13]*Det3_245_025 - m[A15]*Det3_245_023; |
---|
| 1524 | G4double Det4_1245_0245 = m[A10]*Det3_245_245 - m[A12]*Det3_245_045 |
---|
| 1525 | + m[A14]*Det3_245_025 - m[A15]*Det3_245_024; |
---|
| 1526 | G4double Det4_1245_0345 = m[A10]*Det3_245_345 - m[A13]*Det3_245_045 |
---|
| 1527 | + m[A14]*Det3_245_035 - m[A15]*Det3_245_034; |
---|
| 1528 | G4double Det4_1245_1234 = m[A11]*Det3_245_234 - m[A12]*Det3_245_134 |
---|
| 1529 | + m[A13]*Det3_245_124 - m[A14]*Det3_245_123; |
---|
| 1530 | G4double Det4_1245_1235 = m[A11]*Det3_245_235 - m[A12]*Det3_245_135 |
---|
| 1531 | + m[A13]*Det3_245_125 - m[A15]*Det3_245_123; |
---|
| 1532 | G4double Det4_1245_1245 = m[A11]*Det3_245_245 - m[A12]*Det3_245_145 |
---|
| 1533 | + m[A14]*Det3_245_125 - m[A15]*Det3_245_124; |
---|
| 1534 | G4double Det4_1245_1345 = m[A11]*Det3_245_345 - m[A13]*Det3_245_145 |
---|
| 1535 | + m[A14]*Det3_245_135 - m[A15]*Det3_245_134; |
---|
| 1536 | G4double Det4_1245_2345 = m[A12]*Det3_245_345 - m[A13]*Det3_245_245 |
---|
| 1537 | + m[A14]*Det3_245_235 - m[A15]*Det3_245_234; |
---|
| 1538 | G4double Det4_1345_0123 = m[A10]*Det3_345_123 - m[A11]*Det3_345_023 |
---|
| 1539 | + m[A12]*Det3_345_013 - m[A13]*Det3_345_012; |
---|
| 1540 | G4double Det4_1345_0124 = m[A10]*Det3_345_124 - m[A11]*Det3_345_024 |
---|
| 1541 | + m[A12]*Det3_345_014 - m[A14]*Det3_345_012; |
---|
| 1542 | G4double Det4_1345_0125 = m[A10]*Det3_345_125 - m[A11]*Det3_345_025 |
---|
| 1543 | + m[A12]*Det3_345_015 - m[A15]*Det3_345_012; |
---|
| 1544 | G4double Det4_1345_0134 = m[A10]*Det3_345_134 - m[A11]*Det3_345_034 |
---|
| 1545 | + m[A13]*Det3_345_014 - m[A14]*Det3_345_013; |
---|
| 1546 | G4double Det4_1345_0135 = m[A10]*Det3_345_135 - m[A11]*Det3_345_035 |
---|
| 1547 | + m[A13]*Det3_345_015 - m[A15]*Det3_345_013; |
---|
| 1548 | G4double Det4_1345_0145 = m[A10]*Det3_345_145 - m[A11]*Det3_345_045 |
---|
| 1549 | + m[A14]*Det3_345_015 - m[A15]*Det3_345_014; |
---|
| 1550 | G4double Det4_1345_0234 = m[A10]*Det3_345_234 - m[A12]*Det3_345_034 |
---|
| 1551 | + m[A13]*Det3_345_024 - m[A14]*Det3_345_023; |
---|
| 1552 | G4double Det4_1345_0235 = m[A10]*Det3_345_235 - m[A12]*Det3_345_035 |
---|
| 1553 | + m[A13]*Det3_345_025 - m[A15]*Det3_345_023; |
---|
| 1554 | G4double Det4_1345_0245 = m[A10]*Det3_345_245 - m[A12]*Det3_345_045 |
---|
| 1555 | + m[A14]*Det3_345_025 - m[A15]*Det3_345_024; |
---|
| 1556 | G4double Det4_1345_0345 = m[A10]*Det3_345_345 - m[A13]*Det3_345_045 |
---|
| 1557 | + m[A14]*Det3_345_035 - m[A15]*Det3_345_034; |
---|
| 1558 | G4double Det4_1345_1234 = m[A11]*Det3_345_234 - m[A12]*Det3_345_134 |
---|
| 1559 | + m[A13]*Det3_345_124 - m[A14]*Det3_345_123; |
---|
| 1560 | G4double Det4_1345_1235 = m[A11]*Det3_345_235 - m[A12]*Det3_345_135 |
---|
| 1561 | + m[A13]*Det3_345_125 - m[A15]*Det3_345_123; |
---|
| 1562 | G4double Det4_1345_1245 = m[A11]*Det3_345_245 - m[A12]*Det3_345_145 |
---|
| 1563 | + m[A14]*Det3_345_125 - m[A15]*Det3_345_124; |
---|
| 1564 | G4double Det4_1345_1345 = m[A11]*Det3_345_345 - m[A13]*Det3_345_145 |
---|
| 1565 | + m[A14]*Det3_345_135 - m[A15]*Det3_345_134; |
---|
| 1566 | G4double Det4_1345_2345 = m[A12]*Det3_345_345 - m[A13]*Det3_345_245 |
---|
| 1567 | + m[A14]*Det3_345_235 - m[A15]*Det3_345_234; |
---|
| 1568 | G4double Det4_2345_0123 = m[A20]*Det3_345_123 - m[A21]*Det3_345_023 |
---|
| 1569 | + m[A22]*Det3_345_013 - m[A23]*Det3_345_012; |
---|
| 1570 | G4double Det4_2345_0124 = m[A20]*Det3_345_124 - m[A21]*Det3_345_024 |
---|
| 1571 | + m[A22]*Det3_345_014 - m[A24]*Det3_345_012; |
---|
| 1572 | G4double Det4_2345_0125 = m[A20]*Det3_345_125 - m[A21]*Det3_345_025 |
---|
| 1573 | + m[A22]*Det3_345_015 - m[A25]*Det3_345_012; |
---|
| 1574 | G4double Det4_2345_0134 = m[A20]*Det3_345_134 - m[A21]*Det3_345_034 |
---|
| 1575 | + m[A23]*Det3_345_014 - m[A24]*Det3_345_013; |
---|
| 1576 | G4double Det4_2345_0135 = m[A20]*Det3_345_135 - m[A21]*Det3_345_035 |
---|
| 1577 | + m[A23]*Det3_345_015 - m[A25]*Det3_345_013; |
---|
| 1578 | G4double Det4_2345_0145 = m[A20]*Det3_345_145 - m[A21]*Det3_345_045 |
---|
| 1579 | + m[A24]*Det3_345_015 - m[A25]*Det3_345_014; |
---|
| 1580 | G4double Det4_2345_0234 = m[A20]*Det3_345_234 - m[A22]*Det3_345_034 |
---|
| 1581 | + m[A23]*Det3_345_024 - m[A24]*Det3_345_023; |
---|
| 1582 | G4double Det4_2345_0235 = m[A20]*Det3_345_235 - m[A22]*Det3_345_035 |
---|
| 1583 | + m[A23]*Det3_345_025 - m[A25]*Det3_345_023; |
---|
| 1584 | G4double Det4_2345_0245 = m[A20]*Det3_345_245 - m[A22]*Det3_345_045 |
---|
| 1585 | + m[A24]*Det3_345_025 - m[A25]*Det3_345_024; |
---|
| 1586 | G4double Det4_2345_0345 = m[A20]*Det3_345_345 - m[A23]*Det3_345_045 |
---|
| 1587 | + m[A24]*Det3_345_035 - m[A25]*Det3_345_034; |
---|
| 1588 | G4double Det4_2345_1234 = m[A21]*Det3_345_234 - m[A22]*Det3_345_134 |
---|
| 1589 | + m[A23]*Det3_345_124 - m[A24]*Det3_345_123; |
---|
| 1590 | G4double Det4_2345_1235 = m[A21]*Det3_345_235 - m[A22]*Det3_345_135 |
---|
| 1591 | + m[A23]*Det3_345_125 - m[A25]*Det3_345_123; |
---|
| 1592 | G4double Det4_2345_1245 = m[A21]*Det3_345_245 - m[A22]*Det3_345_145 |
---|
| 1593 | + m[A24]*Det3_345_125 - m[A25]*Det3_345_124; |
---|
| 1594 | G4double Det4_2345_1345 = m[A21]*Det3_345_345 - m[A23]*Det3_345_145 |
---|
| 1595 | + m[A24]*Det3_345_135 - m[A25]*Det3_345_134; |
---|
| 1596 | G4double Det4_2345_2345 = m[A22]*Det3_345_345 - m[A23]*Det3_345_245 |
---|
| 1597 | + m[A24]*Det3_345_235 - m[A25]*Det3_345_234; |
---|
| 1598 | |
---|
| 1599 | // Find all NECESSARY 5x5 dets: (36 of them) |
---|
| 1600 | |
---|
| 1601 | G4double Det5_01234_01234 = m[A00]*Det4_1234_1234 - m[A01]*Det4_1234_0234 |
---|
| 1602 | + m[A02]*Det4_1234_0134 - m[A03]*Det4_1234_0124 + m[A04]*Det4_1234_0123; |
---|
| 1603 | G4double Det5_01234_01235 = m[A00]*Det4_1234_1235 - m[A01]*Det4_1234_0235 |
---|
| 1604 | + m[A02]*Det4_1234_0135 - m[A03]*Det4_1234_0125 + m[A05]*Det4_1234_0123; |
---|
| 1605 | G4double Det5_01234_01245 = m[A00]*Det4_1234_1245 - m[A01]*Det4_1234_0245 |
---|
| 1606 | + m[A02]*Det4_1234_0145 - m[A04]*Det4_1234_0125 + m[A05]*Det4_1234_0124; |
---|
| 1607 | G4double Det5_01234_01345 = m[A00]*Det4_1234_1345 - m[A01]*Det4_1234_0345 |
---|
| 1608 | + m[A03]*Det4_1234_0145 - m[A04]*Det4_1234_0135 + m[A05]*Det4_1234_0134; |
---|
| 1609 | G4double Det5_01234_02345 = m[A00]*Det4_1234_2345 - m[A02]*Det4_1234_0345 |
---|
| 1610 | + m[A03]*Det4_1234_0245 - m[A04]*Det4_1234_0235 + m[A05]*Det4_1234_0234; |
---|
| 1611 | G4double Det5_01234_12345 = m[A01]*Det4_1234_2345 - m[A02]*Det4_1234_1345 |
---|
| 1612 | + m[A03]*Det4_1234_1245 - m[A04]*Det4_1234_1235 + m[A05]*Det4_1234_1234; |
---|
| 1613 | G4double Det5_01235_01234 = m[A00]*Det4_1235_1234 - m[A01]*Det4_1235_0234 |
---|
| 1614 | + m[A02]*Det4_1235_0134 - m[A03]*Det4_1235_0124 + m[A04]*Det4_1235_0123; |
---|
| 1615 | G4double Det5_01235_01235 = m[A00]*Det4_1235_1235 - m[A01]*Det4_1235_0235 |
---|
| 1616 | + m[A02]*Det4_1235_0135 - m[A03]*Det4_1235_0125 + m[A05]*Det4_1235_0123; |
---|
| 1617 | G4double Det5_01235_01245 = m[A00]*Det4_1235_1245 - m[A01]*Det4_1235_0245 |
---|
| 1618 | + m[A02]*Det4_1235_0145 - m[A04]*Det4_1235_0125 + m[A05]*Det4_1235_0124; |
---|
| 1619 | G4double Det5_01235_01345 = m[A00]*Det4_1235_1345 - m[A01]*Det4_1235_0345 |
---|
| 1620 | + m[A03]*Det4_1235_0145 - m[A04]*Det4_1235_0135 + m[A05]*Det4_1235_0134; |
---|
| 1621 | G4double Det5_01235_02345 = m[A00]*Det4_1235_2345 - m[A02]*Det4_1235_0345 |
---|
| 1622 | + m[A03]*Det4_1235_0245 - m[A04]*Det4_1235_0235 + m[A05]*Det4_1235_0234; |
---|
| 1623 | G4double Det5_01235_12345 = m[A01]*Det4_1235_2345 - m[A02]*Det4_1235_1345 |
---|
| 1624 | + m[A03]*Det4_1235_1245 - m[A04]*Det4_1235_1235 + m[A05]*Det4_1235_1234; |
---|
| 1625 | G4double Det5_01245_01234 = m[A00]*Det4_1245_1234 - m[A01]*Det4_1245_0234 |
---|
| 1626 | + m[A02]*Det4_1245_0134 - m[A03]*Det4_1245_0124 + m[A04]*Det4_1245_0123; |
---|
| 1627 | G4double Det5_01245_01235 = m[A00]*Det4_1245_1235 - m[A01]*Det4_1245_0235 |
---|
| 1628 | + m[A02]*Det4_1245_0135 - m[A03]*Det4_1245_0125 + m[A05]*Det4_1245_0123; |
---|
| 1629 | G4double Det5_01245_01245 = m[A00]*Det4_1245_1245 - m[A01]*Det4_1245_0245 |
---|
| 1630 | + m[A02]*Det4_1245_0145 - m[A04]*Det4_1245_0125 + m[A05]*Det4_1245_0124; |
---|
| 1631 | G4double Det5_01245_01345 = m[A00]*Det4_1245_1345 - m[A01]*Det4_1245_0345 |
---|
| 1632 | + m[A03]*Det4_1245_0145 - m[A04]*Det4_1245_0135 + m[A05]*Det4_1245_0134; |
---|
| 1633 | G4double Det5_01245_02345 = m[A00]*Det4_1245_2345 - m[A02]*Det4_1245_0345 |
---|
| 1634 | + m[A03]*Det4_1245_0245 - m[A04]*Det4_1245_0235 + m[A05]*Det4_1245_0234; |
---|
| 1635 | G4double Det5_01245_12345 = m[A01]*Det4_1245_2345 - m[A02]*Det4_1245_1345 |
---|
| 1636 | + m[A03]*Det4_1245_1245 - m[A04]*Det4_1245_1235 + m[A05]*Det4_1245_1234; |
---|
| 1637 | G4double Det5_01345_01234 = m[A00]*Det4_1345_1234 - m[A01]*Det4_1345_0234 |
---|
| 1638 | + m[A02]*Det4_1345_0134 - m[A03]*Det4_1345_0124 + m[A04]*Det4_1345_0123; |
---|
| 1639 | G4double Det5_01345_01235 = m[A00]*Det4_1345_1235 - m[A01]*Det4_1345_0235 |
---|
| 1640 | + m[A02]*Det4_1345_0135 - m[A03]*Det4_1345_0125 + m[A05]*Det4_1345_0123; |
---|
| 1641 | G4double Det5_01345_01245 = m[A00]*Det4_1345_1245 - m[A01]*Det4_1345_0245 |
---|
| 1642 | + m[A02]*Det4_1345_0145 - m[A04]*Det4_1345_0125 + m[A05]*Det4_1345_0124; |
---|
| 1643 | G4double Det5_01345_01345 = m[A00]*Det4_1345_1345 - m[A01]*Det4_1345_0345 |
---|
| 1644 | + m[A03]*Det4_1345_0145 - m[A04]*Det4_1345_0135 + m[A05]*Det4_1345_0134; |
---|
| 1645 | G4double Det5_01345_02345 = m[A00]*Det4_1345_2345 - m[A02]*Det4_1345_0345 |
---|
| 1646 | + m[A03]*Det4_1345_0245 - m[A04]*Det4_1345_0235 + m[A05]*Det4_1345_0234; |
---|
| 1647 | G4double Det5_01345_12345 = m[A01]*Det4_1345_2345 - m[A02]*Det4_1345_1345 |
---|
| 1648 | + m[A03]*Det4_1345_1245 - m[A04]*Det4_1345_1235 + m[A05]*Det4_1345_1234; // |
---|
| 1649 | G4double Det5_02345_01234 = m[A00]*Det4_2345_1234 - m[A01]*Det4_2345_0234 |
---|
| 1650 | + m[A02]*Det4_2345_0134 - m[A03]*Det4_2345_0124 + m[A04]*Det4_2345_0123; |
---|
| 1651 | G4double Det5_02345_01235 = m[A00]*Det4_2345_1235 - m[A01]*Det4_2345_0235 |
---|
| 1652 | + m[A02]*Det4_2345_0135 - m[A03]*Det4_2345_0125 + m[A05]*Det4_2345_0123; |
---|
| 1653 | G4double Det5_02345_01245 = m[A00]*Det4_2345_1245 - m[A01]*Det4_2345_0245 |
---|
| 1654 | + m[A02]*Det4_2345_0145 - m[A04]*Det4_2345_0125 + m[A05]*Det4_2345_0124; |
---|
| 1655 | G4double Det5_02345_01345 = m[A00]*Det4_2345_1345 - m[A01]*Det4_2345_0345 |
---|
| 1656 | + m[A03]*Det4_2345_0145 - m[A04]*Det4_2345_0135 + m[A05]*Det4_2345_0134; |
---|
| 1657 | G4double Det5_02345_02345 = m[A00]*Det4_2345_2345 - m[A02]*Det4_2345_0345 |
---|
| 1658 | + m[A03]*Det4_2345_0245 - m[A04]*Det4_2345_0235 + m[A05]*Det4_2345_0234; |
---|
| 1659 | G4double Det5_02345_12345 = m[A01]*Det4_2345_2345 - m[A02]*Det4_2345_1345 |
---|
| 1660 | + m[A03]*Det4_2345_1245 - m[A04]*Det4_2345_1235 + m[A05]*Det4_2345_1234; |
---|
| 1661 | G4double Det5_12345_01234 = m[A10]*Det4_2345_1234 - m[A11]*Det4_2345_0234 |
---|
| 1662 | + m[A12]*Det4_2345_0134 - m[A13]*Det4_2345_0124 + m[A14]*Det4_2345_0123; |
---|
| 1663 | G4double Det5_12345_01235 = m[A10]*Det4_2345_1235 - m[A11]*Det4_2345_0235 |
---|
| 1664 | + m[A12]*Det4_2345_0135 - m[A13]*Det4_2345_0125 + m[A15]*Det4_2345_0123; |
---|
| 1665 | G4double Det5_12345_01245 = m[A10]*Det4_2345_1245 - m[A11]*Det4_2345_0245 |
---|
| 1666 | + m[A12]*Det4_2345_0145 - m[A14]*Det4_2345_0125 + m[A15]*Det4_2345_0124; |
---|
| 1667 | G4double Det5_12345_01345 = m[A10]*Det4_2345_1345 - m[A11]*Det4_2345_0345 |
---|
| 1668 | + m[A13]*Det4_2345_0145 - m[A14]*Det4_2345_0135 + m[A15]*Det4_2345_0134; |
---|
| 1669 | G4double Det5_12345_02345 = m[A10]*Det4_2345_2345 - m[A12]*Det4_2345_0345 |
---|
| 1670 | + m[A13]*Det4_2345_0245 - m[A14]*Det4_2345_0235 + m[A15]*Det4_2345_0234; |
---|
| 1671 | G4double Det5_12345_12345 = m[A11]*Det4_2345_2345 - m[A12]*Det4_2345_1345 |
---|
| 1672 | + m[A13]*Det4_2345_1245 - m[A14]*Det4_2345_1235 + m[A15]*Det4_2345_1234; |
---|
| 1673 | |
---|
| 1674 | // Find the determinant |
---|
| 1675 | |
---|
| 1676 | G4double det = m[A00]*Det5_12345_12345 |
---|
| 1677 | - m[A01]*Det5_12345_02345 |
---|
| 1678 | + m[A02]*Det5_12345_01345 |
---|
| 1679 | - m[A03]*Det5_12345_01245 |
---|
| 1680 | + m[A04]*Det5_12345_01235 |
---|
| 1681 | - m[A05]*Det5_12345_01234; |
---|
| 1682 | |
---|
| 1683 | if ( det == 0 ) |
---|
| 1684 | { |
---|
| 1685 | ifail = 1; |
---|
| 1686 | return; |
---|
| 1687 | } |
---|
| 1688 | |
---|
| 1689 | G4double oneOverDet = 1.0/det; |
---|
| 1690 | G4double mn1OverDet = - oneOverDet; |
---|
| 1691 | |
---|
| 1692 | m[A00] = Det5_12345_12345*oneOverDet; |
---|
| 1693 | m[A01] = Det5_02345_12345*mn1OverDet; |
---|
| 1694 | m[A02] = Det5_01345_12345*oneOverDet; |
---|
| 1695 | m[A03] = Det5_01245_12345*mn1OverDet; |
---|
| 1696 | m[A04] = Det5_01235_12345*oneOverDet; |
---|
| 1697 | m[A05] = Det5_01234_12345*mn1OverDet; |
---|
| 1698 | |
---|
| 1699 | m[A10] = Det5_12345_02345*mn1OverDet; |
---|
| 1700 | m[A11] = Det5_02345_02345*oneOverDet; |
---|
| 1701 | m[A12] = Det5_01345_02345*mn1OverDet; |
---|
| 1702 | m[A13] = Det5_01245_02345*oneOverDet; |
---|
| 1703 | m[A14] = Det5_01235_02345*mn1OverDet; |
---|
| 1704 | m[A15] = Det5_01234_02345*oneOverDet; |
---|
| 1705 | |
---|
| 1706 | m[A20] = Det5_12345_01345*oneOverDet; |
---|
| 1707 | m[A21] = Det5_02345_01345*mn1OverDet; |
---|
| 1708 | m[A22] = Det5_01345_01345*oneOverDet; |
---|
| 1709 | m[A23] = Det5_01245_01345*mn1OverDet; |
---|
| 1710 | m[A24] = Det5_01235_01345*oneOverDet; |
---|
| 1711 | m[A25] = Det5_01234_01345*mn1OverDet; |
---|
| 1712 | |
---|
| 1713 | m[A30] = Det5_12345_01245*mn1OverDet; |
---|
| 1714 | m[A31] = Det5_02345_01245*oneOverDet; |
---|
| 1715 | m[A32] = Det5_01345_01245*mn1OverDet; |
---|
| 1716 | m[A33] = Det5_01245_01245*oneOverDet; |
---|
| 1717 | m[A34] = Det5_01235_01245*mn1OverDet; |
---|
| 1718 | m[A35] = Det5_01234_01245*oneOverDet; |
---|
| 1719 | |
---|
| 1720 | m[A40] = Det5_12345_01235*oneOverDet; |
---|
| 1721 | m[A41] = Det5_02345_01235*mn1OverDet; |
---|
| 1722 | m[A42] = Det5_01345_01235*oneOverDet; |
---|
| 1723 | m[A43] = Det5_01245_01235*mn1OverDet; |
---|
| 1724 | m[A44] = Det5_01235_01235*oneOverDet; |
---|
| 1725 | m[A45] = Det5_01234_01235*mn1OverDet; |
---|
| 1726 | |
---|
| 1727 | m[A50] = Det5_12345_01234*mn1OverDet; |
---|
| 1728 | m[A51] = Det5_02345_01234*oneOverDet; |
---|
| 1729 | m[A52] = Det5_01345_01234*mn1OverDet; |
---|
| 1730 | m[A53] = Det5_01245_01234*oneOverDet; |
---|
| 1731 | m[A54] = Det5_01235_01234*mn1OverDet; |
---|
| 1732 | m[A55] = Det5_01234_01234*oneOverDet; |
---|
| 1733 | |
---|
| 1734 | return; |
---|
| 1735 | } |
---|