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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27 | // GEANT4 tag $Name: $ |
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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; |
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469 | G4ErrorMatrixIter miik = mii + 1; |
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470 | G4ErrorMatrixIter min_end = mi + n; |
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471 | for (;miik<min_end;) |
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472 | { |
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473 | s33 += (*mikj) * (*(miik++)); |
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474 | mikj += n; |
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475 | } |
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476 | *(mij++) = s33; |
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477 | } |
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478 | for (j=1;j<=ni;j++) |
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479 | { |
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480 | s34 = 0.0; |
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481 | G4ErrorMatrixIter miik = mii + j; |
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482 | G4ErrorMatrixIter mikij = mii + j * n + j; |
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483 | for (G4int k=j;k<=ni;k++) |
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484 | { |
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485 | s34 += *mikij * (*(miik++)); |
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486 | mikij += n; |
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487 | } |
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488 | *(mii+j) = s34; |
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489 | } |
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490 | mi += n; |
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491 | mii += (n+1); |
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492 | } |
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493 | G4int nxch = ir[n]; |
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494 | if (nxch==0) return 0; |
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495 | for (G4int mm=1;mm<=nxch;mm++) |
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496 | { |
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497 | G4int k = nxch - mm + 1; |
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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 | } |
---|