[301] | 1 | // ----------------------------------------------------------------------- |
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| 2 | // sigma_factors.cc: Functions to calculate the scaling factors for |
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| 3 | // the rms in the case of wavelet reconstruction. |
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| 4 | // ----------------------------------------------------------------------- |
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| 5 | // Copyright (C) 2006, Matthew Whiting, ATNF |
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| 6 | // |
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| 7 | // This program is free software; you can redistribute it and/or modify it |
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| 8 | // under the terms of the GNU General Public License as published by the |
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| 9 | // Free Software Foundation; either version 2 of the License, or (at your |
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| 10 | // option) any later version. |
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| 11 | // |
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| 12 | // Duchamp is distributed in the hope that it will be useful, but WITHOUT |
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| 13 | // ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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| 14 | // FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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| 15 | // for more details. |
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| 16 | // |
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| 17 | // You should have received a copy of the GNU General Public License |
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| 18 | // along with Duchamp; if not, write to the Free Software Foundation, |
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| 19 | // Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307, USA |
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| 20 | // |
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| 21 | // Correspondence concerning Duchamp may be directed to: |
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| 22 | // Internet email: Matthew.Whiting [at] atnf.csiro.au |
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| 23 | // Postal address: Dr. Matthew Whiting |
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| 24 | // Australia Telescope National Facility, CSIRO |
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| 25 | // PO Box 76 |
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| 26 | // Epping NSW 1710 |
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| 27 | // AUSTRALIA |
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| 28 | // ----------------------------------------------------------------------- |
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[3] | 29 | #include <iostream> |
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| 30 | #include <iomanip> |
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[356] | 31 | #include <math.h> |
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[876] | 32 | #include <stdlib.h> |
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[393] | 33 | #include <duchamp/ATrous/atrous.hh> |
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| 34 | #include <duchamp/ATrous/filter.hh> |
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[3] | 35 | #define DEBUG true |
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[860] | 36 | //#define DEBUG false |
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[3] | 37 | |
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[860] | 38 | void getSigmaFactors1DNew(duchamp::Filter &reconFilter, int &numScales) |
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[3] | 39 | { |
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[860] | 40 | std::cerr<<"-->"<<reconFilter.getName()<<"<--"<<std::endl; |
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[288] | 41 | // std::cerr << "-->"<<Filter::getName()<<"<--"<<std::endl; |
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| 42 | // std::cerr << "-->"<<getNumScales(125)<<"<--"<<std::endl; |
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[3] | 43 | |
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[860] | 44 | int filterwidth = reconFilter.width(); |
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| 45 | // int filterHW = reconFilter.width()/2; |
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[288] | 46 | // int filterwidth = Filter::width(); |
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| 47 | // int filterHW = Filter::width()/2; |
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[860] | 48 | // int filterwidth=1; |
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[288] | 49 | int filterHW=filterwidth/2; |
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[3] | 50 | |
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| 51 | // starting values: |
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| 52 | long xdim = 1; |
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| 53 | long size = xdim; |
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| 54 | double *c = new double[size]; |
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| 55 | double *w = new double[size]; |
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| 56 | w[0] = 1.; |
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| 57 | |
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| 58 | double *filter = new double[filterwidth]; |
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[860] | 59 | for(int i=0;i<filterwidth;i++) filter[i] = reconFilter.coeff(i); |
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[288] | 60 | // for(int i=0;i<filterwidth;i++) filter[i] = Filter::coeff(i); |
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[3] | 61 | |
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| 62 | int spacing = 1; |
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| 63 | // const float FACTOR = 16.; |
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[860] | 64 | const float FACTOR = reconFilter.coeff(0)==0?1.:1./reconFilter.coeff(0); |
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| 65 | // const float FACTOR = 1.; |
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[3] | 66 | const float FACFAC = FACTOR*FACTOR; |
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| 67 | |
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| 68 | if(DEBUG){ |
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| 69 | std::cout << "divide by " << pow(FACTOR,0) << std::endl; |
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| 70 | for(int i=0;i<size;i++){ |
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| 71 | std::cout<<i<<" "<<w[i]<<std::endl; |
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| 72 | } |
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| 73 | std::cout<<"===============\n"; |
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| 74 | } |
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| 75 | |
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| 76 | for(int scale = 1; scale<=numScales; scale++){ |
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| 77 | |
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| 78 | // re-size and incorporate previous w into new c |
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| 79 | long oldsize = size; |
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| 80 | long oldxdim = xdim; |
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| 81 | // xdim = 2 * xdim + 3; |
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| 82 | // xdim = reconFilter.getMaxSize(scale); |
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| 83 | xdim += filterHW*long(pow(2,scale)); |
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| 84 | size = xdim; |
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| 85 | double *newc = new double[size]; |
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| 86 | for(int i=0;i<size;i++){ |
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| 87 | int oldpos = i - xdim/2; |
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| 88 | if(// (oldpos<oldsize)&&(oldpos>=0) |
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| 89 | abs(oldpos)<=oldsize/2) newc[i] = w[oldpos+oldsize/2] * FACTOR; |
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| 90 | else newc[i] = 0.; |
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| 91 | |
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| 92 | if(DEBUG) std::cout<<i<<" "<<oldpos<<" "<<size<<" "<<oldsize<<" "<<oldsize/2<<" " |
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| 93 | <<newc[i]// *pow(16,scale-1) |
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| 94 | <<std::endl; |
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| 95 | } |
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| 96 | if(DEBUG) std::cout<<"---------------\nspacing = " << spacing << std::endl; |
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| 97 | delete [] c; |
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| 98 | c = newc; |
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| 99 | double *neww = new double[size]; |
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| 100 | delete [] w; |
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| 101 | w = neww; |
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| 102 | for(int i=0;i<size;i++) w[i] = 0.; |
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| 103 | |
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| 104 | long double sum = 0.; |
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| 105 | |
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| 106 | for(int xpos = 0; xpos<xdim; xpos++){ |
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| 107 | // loops over each pixel in the image |
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| 108 | w[xpos] = 0; |
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| 109 | |
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| 110 | for(int xoffset=-filterHW; xoffset<=filterHW; xoffset++){ |
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| 111 | int x = xpos + spacing*xoffset; |
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| 112 | int filterpos = (xoffset+filterHW); |
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| 113 | if((x>=0)&&(x<xdim)) // if outside boundary --> set to 0. |
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| 114 | w[xpos] += filter[filterpos] * c[x]; |
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| 115 | } //-> end of xoffset loop |
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| 116 | |
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| 117 | sum += (c[xpos]-w[xpos])*(c[xpos]-w[xpos]) / pow(FACFAC,scale); |
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| 118 | |
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| 119 | } //-> end of xpos loop |
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| 120 | |
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| 121 | if(DEBUG){ |
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| 122 | std::cout << "divide by " << pow(FACTOR,scale) << std::endl; |
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| 123 | for(int i=0;i<size;i++){ |
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| 124 | std::cout<<i<<" "<<w[i]// *pow(16,scale) |
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| 125 | <<std::endl; |
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| 126 | } |
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| 127 | std::cout<<"===============\n"; |
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| 128 | } |
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| 129 | |
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| 130 | std::cerr << "Scale "<<std::setw(2)<<scale<<":"; |
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| 131 | std::cerr.setf(std::ios::scientific); |
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| 132 | std::cerr.setf(std::ios::left); |
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| 133 | std::cerr <<"\t1D = "<<std::setw(15)<<std::setprecision(9)<<sqrt(sum)<<std::endl; |
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| 134 | std::cerr.unsetf(std::ios::left); |
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| 135 | |
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| 136 | |
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| 137 | spacing *= 2; |
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| 138 | |
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| 139 | } //-> end of scale loop |
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| 140 | |
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| 141 | } |
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| 142 | |
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[860] | 143 | void getSigmaFactors2DNew(duchamp::Filter &reconFilter, int &numScales) |
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[3] | 144 | { |
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| 145 | |
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| 146 | int filterHW = reconFilter.width()/2; |
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| 147 | int fsize = reconFilter.width()*reconFilter.width(); |
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| 148 | double *filter = new double[fsize]; |
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| 149 | for(int i=0;i<reconFilter.width();i++){ |
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| 150 | for(int j=0;j<reconFilter.width();j++){ |
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| 151 | filter[i +j*reconFilter.width()] = reconFilter.coeff(i) * reconFilter.coeff(j); |
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| 152 | } |
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| 153 | } |
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| 154 | |
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| 155 | |
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| 156 | // starting values: |
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[860] | 157 | size_t xdim = 1; |
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| 158 | size_t size = xdim*xdim; |
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[3] | 159 | double *c = new double[size]; |
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| 160 | double *w = new double[size]; |
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| 161 | w[0] = 1.; |
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| 162 | |
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| 163 | int spacing = 1; |
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[860] | 164 | const float FACTOR = reconFilter.coeff(0)==0?1.:1./(reconFilter.coeff(0)*reconFilter.coeff(0)); |
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| 165 | // const float FACTOR = 16.*16.; |
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| 166 | // const float FACTOR = 1.; |
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[3] | 167 | const float FACFAC = FACTOR * FACTOR; |
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| 168 | |
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| 169 | for(int scale = 1; scale<=numScales; scale++){ |
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| 170 | |
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| 171 | // re-size and incorporate previous w into new c |
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[860] | 172 | size_t oldsize = size; |
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| 173 | size_t oldxdim = xdim; |
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[3] | 174 | // xdim = 2 * oldxdim + 3; |
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| 175 | xdim += filterHW*long(pow(2,scale)); |
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| 176 | size = xdim * xdim; |
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[860] | 177 | // std::cerr << xdim << " " << size << " " << size*sizeof(float) << "\n"; |
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[3] | 178 | double *newc = new double[size]; |
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| 179 | for(int i=0;i<size;i++){ |
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| 180 | int x = i%xdim; |
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| 181 | int y = i/xdim; |
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| 182 | int centrepos=0; |
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| 183 | if((abs(x-xdim/2)<=oldxdim/2)&&(abs(y-xdim/2)<=oldxdim/2)){ |
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| 184 | centrepos = x-xdim/2+oldxdim/2 + oldxdim*(y-xdim/2+oldxdim/2); |
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| 185 | newc[i] = w[centrepos] * FACTOR; |
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| 186 | } |
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| 187 | else newc[i] = 0.; |
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[860] | 188 | // std::cout<<i<<" "<<x<<" "<<y<<" "<<centrepos<<" "<<xdim<<" "<<size |
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| 189 | // <<" "<<oldxdim<<" "<<oldsize<<" "<<newc[i]*pow(256,scale-1)<<std::endl; |
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[3] | 190 | } |
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| 191 | // std::cout<<"---------------\n"; |
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| 192 | delete [] c; |
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| 193 | c = newc; |
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| 194 | // std::cerr<<"."; |
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| 195 | double *neww = new double[size]; |
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| 196 | delete [] w; |
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| 197 | w = neww; |
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| 198 | for(int i=0;i<size;i++) w[i] = 0.; |
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| 199 | // std::cerr<<"."; |
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| 200 | |
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| 201 | long double sum = 0.; |
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| 202 | |
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| 203 | for(int ypos = 0; ypos<xdim; ypos++){ |
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| 204 | for(int xpos = 0; xpos<xdim; xpos++){ |
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| 205 | // loops over each pixel in the image |
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| 206 | int pos = ypos*xdim + xpos; |
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| 207 | w[pos] = 0; |
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| 208 | |
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| 209 | for(int yoffset=-filterHW; yoffset<=filterHW; yoffset++){ |
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| 210 | int y = ypos + spacing*yoffset; |
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| 211 | |
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| 212 | for(int xoffset=-filterHW; xoffset<=filterHW; xoffset++){ |
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| 213 | int x = xpos + spacing*xoffset; |
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| 214 | |
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| 215 | int filterpos = (yoffset+filterHW)*reconFilter.width() + (xoffset+filterHW); |
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| 216 | int oldpos = y*xdim + x; |
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| 217 | |
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| 218 | if((y>=0)&&(y<xdim)&&(x>=0)&&(x<xdim)) |
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| 219 | w[pos] += filter[filterpos] * c[oldpos]; |
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| 220 | |
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| 221 | } //-> end of xoffset loop |
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| 222 | } //-> end of yoffset loop |
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| 223 | |
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| 224 | sum += (c[pos]-w[pos])*(c[pos]-w[pos]) / pow(FACFAC,scale); |
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| 225 | |
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| 226 | } //-> end of xpos loop |
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| 227 | } //-> end of ypos loop |
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| 228 | |
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| 229 | // for(int i=0;i<size;i++){ |
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| 230 | // std::cout<<i<<" "<<i%xdim<<" "<<i/xdim<<" "<<w[i]*pow(256,scale)<<std::endl; |
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| 231 | // } |
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| 232 | // std::cout<<"===============\n"; |
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| 233 | |
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| 234 | std::cerr << "Scale "<<std::setw(2)<<scale<<":"; |
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| 235 | std::cerr.setf(std::ios::scientific); |
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| 236 | std::cerr.setf(std::ios::left); |
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| 237 | std::cerr <<"\t2D = "<<std::setw(11)<<std::setprecision(9)<<sqrt(sum)<<std::endl; |
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| 238 | std::cerr.unsetf(std::ios::left); |
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| 239 | |
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| 240 | spacing *= 2; |
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| 241 | |
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| 242 | } //-> end of scale loop |
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| 243 | |
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| 244 | |
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| 245 | } |
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| 246 | |
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| 247 | |
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[860] | 248 | void getSigmaFactors3DNew(duchamp::Filter &reconFilter, int &numScales) |
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[3] | 249 | { |
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[860] | 250 | |
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[3] | 251 | int filterHW = reconFilter.width()/2; |
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| 252 | int fsize = reconFilter.width()*reconFilter.width()*reconFilter.width(); |
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| 253 | double *filter = new double[fsize]; |
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| 254 | for(int i=0;i<reconFilter.width();i++){ |
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| 255 | for(int j=0;j<reconFilter.width();j++){ |
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| 256 | for(int k=0;k<reconFilter.width();k++){ |
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| 257 | filter[i +j*reconFilter.width() + k*reconFilter.width()*reconFilter.width()] = |
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| 258 | reconFilter.coeff(i) * reconFilter.coeff(j) * reconFilter.coeff(k); |
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| 259 | } |
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| 260 | } |
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| 261 | } |
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| 262 | |
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| 263 | // starting values: |
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| 264 | long xdim = 1; |
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| 265 | long size = xdim*xdim*xdim; |
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| 266 | double *c = new double[size]; |
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| 267 | double *w = new double[size]; |
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| 268 | int x,y,z,centrepos; |
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| 269 | w[0] = 1.; |
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| 270 | |
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| 271 | int spacing = 1; |
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| 272 | // const float FACTOR = 16.*16.*16.; |
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| 273 | const float FACTOR = 1.; |
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| 274 | const float FACFAC = FACTOR * FACTOR; |
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| 275 | |
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| 276 | for(int scale = 1; scale<=numScales; scale++){ |
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| 277 | |
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| 278 | // re-size and incorporate previous w into new c |
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| 279 | long oldsize = size; |
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| 280 | long oldxdim = xdim; |
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| 281 | // xdim = 2 * xdim + 3; |
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| 282 | xdim += filterHW*long(pow(2,scale)); |
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| 283 | size = xdim * xdim * xdim; |
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| 284 | double *newc = new double[size]; |
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| 285 | for(int i=0;i<size;i++){ |
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| 286 | x = i%xdim; |
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| 287 | y = (i/xdim) % xdim; |
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| 288 | z = i / (xdim*xdim); |
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| 289 | centrepos = 0; |
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| 290 | if((abs(x-xdim/2)<=oldxdim/2)&& |
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| 291 | (abs(y-xdim/2)<=oldxdim/2)&& |
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| 292 | (abs(z-xdim/2)<=oldxdim/2)){ |
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| 293 | centrepos = x-xdim/2+oldxdim/2 + oldxdim*(y-xdim/2+oldxdim/2) |
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| 294 | + oldxdim*oldxdim*(z-xdim/2+oldxdim/2); |
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| 295 | newc[i] = w[centrepos] * FACTOR; |
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| 296 | } |
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| 297 | else newc[i] = 0.; |
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| 298 | // std::cout<<i<<" "<<x<<" "<<y<<" "<<z<<" "<<oldpos<<" "<<size<<" "<<oldsize |
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| 299 | // <<" "<<newc[i]*pow(16,3*(scale-1))<<std::endl; |
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| 300 | } |
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| 301 | // std::cout<<"---------------\n"; |
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| 302 | delete [] c; |
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| 303 | c = newc; |
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| 304 | double *neww = new double[size]; |
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| 305 | delete [] w; |
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| 306 | w = neww; |
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| 307 | for(int i=0;i<size;i++) w[i] = 0.; |
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| 308 | long double sum = 0.; |
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| 309 | |
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| 310 | for(int zpos = 0; zpos<xdim; zpos++){ |
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| 311 | for(int ypos = 0; ypos<xdim; ypos++){ |
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| 312 | for(int xpos = 0; xpos<xdim; xpos++){ |
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| 313 | // loops over each pixel in the image |
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| 314 | int pos = zpos*xdim*xdim + ypos*xdim + xpos; |
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| 315 | w[pos] = 0; |
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| 316 | |
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| 317 | for(int zoffset=-filterHW; zoffset<=filterHW; zoffset++){ |
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| 318 | z = zpos + spacing*zoffset; |
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| 319 | for(int yoffset=-filterHW; yoffset<=filterHW; yoffset++){ |
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| 320 | y = ypos + spacing*yoffset; |
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| 321 | for(int xoffset=-filterHW; xoffset<=filterHW; xoffset++){ |
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| 322 | x = xpos + spacing*xoffset; |
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| 323 | |
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| 324 | int filterpos = (zoffset+filterHW)*reconFilter.width()*reconFilter.width() + |
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| 325 | (yoffset+filterHW)*reconFilter.width() + (xoffset+filterHW); |
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| 326 | int oldpos = z*xdim*xdim + y*xdim + x; |
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| 327 | |
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| 328 | // only consider points inside boundary -- ie. =0 outside |
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| 329 | if((z>=0)&&(z<xdim)&&(y>=0)&&(y<xdim)&&(x>=0)&&(x<xdim)) |
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| 330 | w[pos] += filter[filterpos] * c[oldpos]; |
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| 331 | |
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| 332 | } //-> end of xoffset loop |
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| 333 | } //-> end of yoffset loop |
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| 334 | } //-> end of zoffset loop |
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| 335 | |
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| 336 | sum += (c[pos]-w[pos])*(c[pos]-w[pos]) / pow(FACFAC,scale); |
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| 337 | |
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| 338 | } //-> end of xpos loop |
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| 339 | } //-> end of ypos loop |
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| 340 | } //-> end of zpos loop |
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| 341 | |
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| 342 | // for(int i=0;i<size;i++){ |
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| 343 | // std::cout<<i<<" "<<w[i]*pow(16,3*scale)<<std::endl; |
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| 344 | // } |
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| 345 | // std::cout<<"===============\n"; |
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| 346 | |
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| 347 | std::cerr << "Scale "<<std::setw(2)<<scale<<":"; |
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| 348 | std::cerr.setf(std::ios::scientific); |
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| 349 | std::cerr.setf(std::ios::left); |
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| 350 | std::cerr <<"\t3D = "<<std::setw(11)<<std::setprecision(9)<<sqrt(sum)<<std::endl; |
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| 351 | std::cerr.unsetf(std::ios::left); |
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| 352 | |
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| 353 | spacing *= 2; |
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| 354 | |
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| 355 | } //-> end of scale loop |
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| 356 | |
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| 357 | |
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| 358 | |
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[860] | 359 | |
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[3] | 360 | } |
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