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annotate libcruft/arpack/docs/debug.doc @ 12274:9f5d2ef078e8 release-3-4-x
import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
author | John W. Eaton <jwe@octave.org> |
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date | Fri, 28 Jan 2011 14:04:33 -0500 |
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import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
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1 ARPACK provides a means to trace the progress of the computation |
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2 as it proceeds. Various levels of output may be specified |
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3 from no output, level = 0, to voluminous, level = 3. |
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4 The following statements may be used within the calling program to |
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5 initiate and request this output. |
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6 |
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7 include 'debug.h' |
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8 ndigit = -3 |
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9 logfil = 6 |
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10 msgets = 0 |
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11 msaitr = 0 |
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12 msapps = 0 |
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13 msaupd = 1 |
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14 msaup2 = 0 |
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15 mseigt = 0 |
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16 mseupd = 0 |
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17 |
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18 The parameter "logfil" specifies the logical unit number of the output |
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19 file. The parameter "ndigit" specifies the number of decimal digits |
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20 and the width of the output lines. A positive value of "ndigit" |
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21 specifies that 132 columns are used during output and a negative |
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22 value specifies eighty columns are to be used. The values of the remaining |
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23 parameters indicate the output levels from the indicated routines. |
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24 |
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25 For the above example, "msaitr" indicates the level of output requested |
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26 for the subroutine ssaitr or dsaitr. The above configuration will |
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27 give a breakdown of the number of matrix vector products required, |
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28 the total number of iterations, the number of re-orthogonalization |
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29 steps and an estimate of the time spent in each routine and phase of the |
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30 computation. The following output is produced: |
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31 |
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32 --------------------------------------------------------------------- |
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33 ========================================== |
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34 = Symmetric implicit Arnoldi update code = |
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35 = Version Number: 2.1 = |
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36 = Version Date: 11/15/95 = |
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37 ========================================== |
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38 = Summary of timing statistics = |
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39 ========================================== |
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40 |
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41 |
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42 Total number update iterations = 8 |
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43 Total number of OP*x operations = 125 |
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44 Total number of B*x operations = 0 |
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45 Total number of reorthogonalization steps = 125 |
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46 Total number of iterative refinement steps = 0 |
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47 Total number of restart steps = 0 |
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48 Total time in user OP*x operation = 0.020002 |
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49 Total time in user B*x operation = 0.000000 |
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50 Total time in Arnoldi update routine = 0.210021 |
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51 Total time in ssaup2 routine = 0.190019 |
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52 Total time in basic Arnoldi iteration loop = 0.110011 |
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53 Total time in reorthogonalization phase = 0.070007 |
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54 Total time in (re)start vector generation = 0.000000 |
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55 Total time in trid eigenvalue subproblem = 0.040004 |
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56 Total time in getting the shifts = 0.000000 |
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57 Total time in applying the shifts = 0.040004 |
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58 Total time in convergence testing = 0.000000 |
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59 |
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60 --------------------------------------------------------------------- |
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61 |
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62 The user is encouraged to experiment with the other settings |
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63 once some familiarity has been gained with the routines. |
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64 |
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65 The include statement sets up the storage declarations that are |
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66 solely associated with this trace debugging feature. "debug.h" |
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67 has the following structure: |
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68 |
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69 --------------------------------------------------------------------- |
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70 c |
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71 c\SCCS Information: @(#) |
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72 c FILE: debug.h SID: 2.3 DATE OF SID: 11/16/95 RELEASE: 2 |
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73 c |
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74 c %---------------------------------% |
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75 c | See debug.doc for documentation | |
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76 c %---------------------------------% |
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77 integer logfil, ndigit, mgetv0, |
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78 & msaupd, msaup2, msaitr, mseigt, msapps, msgets, mseupd, |
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79 & mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets, mneupd, |
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80 & mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd |
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81 common /debug/ |
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82 & logfil, ndigit, mgetv0, |
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83 & msaupd, msaup2, msaitr, mseigt, msapps, msgets, mseupd, |
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84 & mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets, mneupd, |
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85 & mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd |
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86 --------------------------------------------------------------------- |
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87 |
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88 |
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89 The parameters "msaupd, msaup2, msaitr, mseigt, msapps, msgets, mseupd" |
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90 are for the symmetric codes, while |
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91 "mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets, mneupd" are for the |
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92 nonsymmetric codes and, finally, |
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93 "mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd" are for the complex |
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94 arithmetic codes. A comprehensive break down of each parameter is given |
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95 below. |
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96 |
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97 ========================================================== |
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98 === Common to symmetric, nonsymmetric and complex code === |
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99 ========================================================== |
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100 |
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101 |
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102 logfil: unit number where the logfile (debug) is written |
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103 |
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104 ndigit: number of digits used in the debug output |
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105 ndigit < 0: printing is done with 72 columns. |
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106 ndigit > 0: printing is done with 132 columns. |
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107 |
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108 mgetv0 > 0: print residual vector generated. |
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109 |
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110 ====================================== |
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111 === Specific to the symmetric code === |
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112 ====================================== |
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113 |
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114 msaupd > 0: *Print the number of iterations taken, |
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115 number of "converged" eigenvalues, |
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116 final Ritz values and corresponding Ritz estimates. |
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117 *Print various timing statistics. |
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118 |
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119 msaup2 > 0: *Print major iteration number, |
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120 number of "converged" Ritz values on exit, |
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121 B-norm of the residual vector of length NCV factorization, |
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122 B-norm of the residual vector of length NEV factorization, |
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123 residual norm before exit, |
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124 Ritz values and corresponding Ritz estimates before exit. |
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125 msaup2 > 1: print number of unreduced submatrices, |
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126 Ritz values and corresponding Ritz estimates of the current |
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127 T matrix, actual values for NEV and NP, |
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128 wanted Ritz values and corresponding Ritz estimates, |
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129 shifts selected. |
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130 msaup2 > 2: print "unwanted" Ritz values and corresponding Ritz |
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131 estimates, order NCV matrix T (diagonal and off-diagonal), |
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132 unwanted Ritz values and error bounds. |
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133 |
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134 msaitr > 0: print iteration number, residual norm, restart info |
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135 print if an off diagonal element of T became negative. |
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136 msaitr > 1: print the final matrix T. |
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137 msaitr > 2: print Arnoldi vector no. generate at iteration j, |
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138 b-norm of residual vector at each iteration, |
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139 print rnorm and rnorm1 for iterative refinement, |
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140 print wnorm and rnorm used for Re-orthogonalization, |
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141 V^T * B * (resid/B-norm(resid)), |
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142 print the results of whether the current residual vector is |
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143 orthogonal to the current Lanczos basis. |
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144 msaitr > 3: print the matrix T at each iteration. |
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145 print the residual vector and arnoldi vectors. |
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146 |
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147 mseigt > 0: print the current matrix T. |
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148 |
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149 msgets > 0: print NEV and NP, |
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150 eigenvalues of and corresponding Ritz estimates of the |
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151 current T matrix. |
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152 |
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153 msapps > 0: print information about deflation at row/column no. |
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154 msapps > 1: print initial matrix T |
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155 print sigmak, betak and matrix T after all shifts |
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156 msapps > 2: print the matrix T after the application of each shift. |
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157 msapps > 3: updated residual for next iteration. |
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158 |
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159 mseupd > 1: print eigenvalues of the final T matrix, |
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160 the last row of the eigenvector matrix for T, |
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161 if reordered, reordered last row of the eigenvector matrix, |
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162 reordered NCV Ritz values of the final T matrix, |
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163 if type = 'REGULAR', untransformed "converged" Ritz values |
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164 and corresponding Ritz estimates, |
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165 NCV Ritz values of the final T matrix, |
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166 last row of the eigenvector matrix for T, |
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167 if reordered, reordered last row of the eigenvector matrix, |
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168 reordered NCV Ritz values of the final T. |
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169 |
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170 mseupd > 2: print the matrix T. |
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171 |
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172 ========================================= |
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173 === Specific to the nonsymmetric code === |
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174 ========================================= |
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175 |
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176 mnaupd > 0: *Print the number of iterations taken, |
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177 number of "converged" eigenvalues, |
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178 real and imaginary parts of the converged Ritz values |
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179 and their corresponding Ritz estimates, |
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180 *Print various timing statistics. |
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181 |
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182 mnaup2 > 0: *Print major iteration number. |
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183 *Print the number of "converged" Ritz values on exit, |
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184 and the real and imaginary parts of the "converged" Ritz |
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185 values and corresponding Ritz estimates. |
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186 mnaup2 > 1: *Print the length of the Arnoldi Factorization, |
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187 and the B-norm of its residual vector. |
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188 *Print NEV and NP, real and imaginary parts of the "wanted" |
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189 Ritz values and associated Ritz estimates at each |
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190 iteration. |
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191 *Print the B-norm of the residual of the compressed |
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192 factorization and the compressed upper Hessenberg matrix H. |
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193 mnaup2 > 2: *Print the real and imaginary parts of all the Ritz values |
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194 and associated Ritz estimates, NEV, NP, NUMCNV, NCONV. |
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195 *Print the real and imaginary parts of the shifts. If the |
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196 exact shift strategy is used, print the associated Ritz |
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197 estimates of the shifts. |
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198 *Print the real and imaginary parts of the Ritz values |
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199 and the corresponding Ritz estimates obtained from _neigh. |
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200 |
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201 mnaitr > 0: *Print if a restart is needed. |
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202 mnaitr > 1: *Print the number of Arnoldi vector being generated and |
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203 the B-norm of the current residual. |
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204 mnaitr > 2: *Print j-th column of the Hessenberg matrix H. |
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205 *Print reorthogonalization and iterative refinement information, |
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206 *Print the final upper Hessenberg matrix of order K+NEV. |
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207 mnaitr > 3: *Print V^T*B*resid/(B-norm(resid)). |
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208 mnaitr > 4: *Print current upper Hessenberg matrix. |
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209 mnaitr > 5: *Print updated arnoldi vectors and the residual vector. |
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210 |
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211 mneigh > 1: *Print the last row of the Schur matrix for H, and |
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212 the last row of the eigenvector matrix for H. |
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213 mneigh > 2: *Print the entering upper Hessenberg matrix. |
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214 *Print the real and imaginary part of eigenvalues |
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215 of the current Hessenberg matrix, and associated |
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216 Ritz estimates. |
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217 |
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218 mngets > 0: *Print the real and imaginary parts of the Ritz values |
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219 of the Hessenberg matrix and their the corresponding |
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220 error bounds, KEV, NP. |
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221 |
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222 mnapps > 0: *Print information about where deflation occured. |
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223 mnapps > 1: *Print sigmak, betak, order of the final Hessenberg matrix, |
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224 and the final compressed upper Hessenberg matrix. |
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225 mnapps > 2: *Print implicit application of shift number, real and imaginary |
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226 part of the shift. |
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227 *Print the indices of the submatrix that the shift is applied. |
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228 mnapps > 3: *Print the matrix H before and after the application of |
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229 each shift, updated residual for next iteration. |
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230 mnapps > 4: *Print the accumulated orthogonal Hessenberg matrix Q, |
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231 updated matrix of Arnoldi vectors. |
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232 |
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233 mneupd > 0: *Print the number of converged Ritz values, B-norm of the |
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234 residual, all NCV Ritz values and error bounds. |
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235 mneupd > 1: *Print the final upper Hessenberg matrix computed by _naupd. |
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236 *If Ritz vectors are requested, print real and imaginary parts |
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237 of the eigenvalues and the last row of the Schur vectors as |
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238 computed by _neupd. |
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239 mneupd > 2: *If Ritz vectors are requested, print the threshold eigenvalue |
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240 used for re-ordering. |
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241 *If Ritz vectors are requested, print the number of eigenvalues |
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242 to reorder and the number of converged Ritz values. |
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243 *If Ritz vectors are requested, print the upper quasi-matrix |
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244 computed by _neupd. |
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245 *If Ritz vectors are requested, print the real and imaginary |
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246 part of the Ritz values. |
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247 *If Ritz vectors are requested, print the last row of the |
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248 eigenvector matrix. |
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249 *Print the NCV Ritz estimates in the original system. |
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250 mneupd > 3: *Print the integer array of pointers. |
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251 *If Ritz vectors are requested, print the eigenvector matrix. |
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252 *If Ritz vectors are requested, print the reordered upper |
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253 quasi-triangular matrix. |
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254 mneupd > 4: *If Ritz vectors are requested, print the Q matrix of the QR |
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255 factorization of the matrix representing the wanted invariant |
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256 subspace. |
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257 *If Ritz vectors are requested, print the Schur vectors. |
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258 *If Ritz vectors are requested, print the reordered Schur vectors. |
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259 |
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260 |
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261 ==================================== |
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262 === Specific to the complex code === |
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263 ==================================== |
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264 |
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265 mcaupd > 0: *Print the number of iterations taken, |
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266 number of "converged" eigenvalues, the converged Ritz values |
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267 and their corresponding Ritz estimates, |
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268 *Print various timing statistics. |
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269 |
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270 mcaup2 > 0: *Print major iteration number. |
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271 *Print the number of "converged" Ritz values on exit, and the |
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272 "converged" Ritz values and corresponding Ritz estimates. |
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273 mcaup2 > 1: *Print the length of the Arnoldi Factorization, |
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274 and the B-norm of its residual vector. |
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275 *Print NEV and NP, the "wanted" Ritz values and associated Ritz |
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276 estimates at each iteration. |
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277 *Print the B-norm of the residual of the compressed |
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278 factorization and the compressed upper Hessenberg matrix H. |
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279 mcaup2 > 2: *Print the all the Ritz values and associated Ritz estimates, |
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280 NEV, NP, NUMCNV, NCONV. |
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281 *Print the shifts. If the exact shift strategy is used, print the |
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282 associated Ritz estimates of the shifts. |
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283 *Print the Ritz values and the corresponding Ritz estimates obtained |
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284 from _neigh. |
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285 |
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286 mcaitr > 0: *Print if a restart is needed. |
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287 mcaitr > 1: *Print the number of Arnoldi vector being generated and |
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288 the B-norm of the current residual. |
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289 mcaitr > 2: *Print j-th column of the Hessenberg matrix H. |
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290 *Print reorthogonalization and iterative refinement information, |
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291 *Print the final upper Hessenberg matrix of order K+NEV. |
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292 mcaitr > 3: *Print V^T*B*resid/(B-norm(resid)). |
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293 mcaitr > 4: *Print current upper Hessenberg matrix. |
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294 mcaitr > 5: *Print updated Arnoldi vectors and the residual vector. |
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295 |
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296 mceigh > 1: *Print the last row of the Schur matrix for H, and |
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297 the last row of the eigenvector matrix for H. |
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298 mceigh > 2: *Print the entering upper Hessenberg matrix. |
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299 *Print the eigenvalues of the current Hessenberg matrix, and |
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300 associated Ritz estimates. |
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301 |
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302 mcgets > 0: *Print the real and imaginary parts of the Ritz values |
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303 of the Hessenberg matrix and their the corresponding |
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304 error bounds, KEV, NP. |
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305 |
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306 mcapps > 0: *Print information about where deflation occured. |
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307 mcapps > 1: *Print sigmak, betak, order of the final Hessenberg matrix, |
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308 and the final compressed upper Hessenberg matrix. |
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309 mcapps > 2: *Print implicit application of shift number, the shift. |
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310 *Print the indices of the submatrix that the shift is applied. |
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311 mcapps > 3: *Print the matrix H before and after the application of |
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312 each shift, updated residual for next iteration. |
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313 mcapps > 4: *Print the accumulated unitary Hessenberg matrix Q, and the |
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314 updated matrix of Arnoldi vectors. |
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315 |
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316 mceupd > 0: *Print the number of converged Ritz values, B-norm of the |
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317 residual, all NCV Ritz values and error bounds. |
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318 mceupd > 1: *Print the final upper Hessenberg matrix computed by _naupd. |
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319 *If Ritz vectors are requested, print the eigenvalues and the |
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320 last row of the Schur vectors as computed by _neupd. |
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321 mceupd > 2: *If Ritz vectors are requested, print the threshold eigenvalue |
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322 used for re-ordering. |
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323 *If Ritz vectors are requested, print the number of eigenvalues |
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324 to reorder and the number of converged Ritz values. |
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325 *If Ritz vectors are requested, print the upper quasi-matrix |
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326 computed by _neupd. |
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327 *If Ritz vectors are requested, print the Ritz values. |
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328 *If Ritz vectors are requested, print the last row of the |
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329 eigenvector matrix. |
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330 *Print the NCV Ritz estimates in the original system. |
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331 mceupd > 3: *Print the integer array of pointers. |
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332 *If Ritz vectors are requested, print the eigenvector matrix. |
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333 mceupd > 4: *If Ritz vectors are requested, print the Q matrix of the QR |
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334 factorization of the matrix representing the wanted invariant |
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335 subspace. |
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336 *If Ritz vectors are requested, print the Schur vectors. |
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337 |
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338 |
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339 |