1 | //# tSpectralFit.cc -- test SpectralElement; SpectralEstimate and SpectralFit |
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2 | //# Copyright (C) 2001,2002,2004 |
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3 | //# Associated Universities, Inc. Washington DC, USA. |
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4 | //# |
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5 | //# This program is free software; you can redistribute it and/or modify it |
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6 | //# under the terms of the GNU General Public License as published by the Free |
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7 | //# Software Foundation; either version 2 of the License, or (at your option) |
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8 | //# any later version. |
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9 | //# |
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10 | //# This program is distributed in the hope that it will be useful, but WITHOUT |
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11 | //# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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12 | //# FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for |
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13 | //# more details. |
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14 | //# |
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15 | //# You should have received a copy of the GNU General Public License along |
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16 | //# with this program; if not, write to the Free Software Foundation, Inc., |
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17 | //# 675 Massachusetts Ave, Cambridge, MA 02139, USA. |
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18 | //# |
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19 | //# Correspondence concerning AIPS++ should be addressed as follows: |
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20 | //# Internet email: aips2-request@nrao.edu. |
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21 | //# Postal address: AIPS++ Project Office |
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22 | //# National Radio Astronomy Observatory |
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23 | //# 520 Edgemont Road |
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24 | //# Charlottesville, VA 22903-2475 USA |
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25 | //# |
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26 | //# $Id: tSpectralFit.cc 21451 2014-06-10 07:48:08Z gervandiepen $ |
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27 | |
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28 | //# Includes |
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29 | #include <casa/aips.h> |
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30 | #include <casa/Arrays/MaskArrLogi.h> |
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31 | #include <casa/Arrays/ArrayMath.h> |
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32 | #include <casa/Arrays/ArrayIO.h> |
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33 | #include <casa/Arrays/Vector.h> |
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34 | #include <casa/BasicMath/Random.h> |
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35 | #include <casa/Containers/Record.h> |
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36 | #include <casa/Exceptions/Error.h> |
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37 | #include <casa/Utilities/Assert.h> |
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38 | #include <components/SpectralComponents/SpectralEstimate.h> |
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39 | #include <components/SpectralComponents/SpectralFit.h> |
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40 | #include <components/SpectralComponents/SpectralList.h> |
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41 | #include <casa/iostream.h> |
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42 | |
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43 | #include <casa/namespace.h> |
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44 | |
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45 | int main() { |
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46 | // RecordInterface |
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47 | { |
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48 | cout << "Test RecordInterface" << endl; |
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49 | cout << "---------------------------------------------------" << endl; |
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50 | SpectralList list; |
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51 | GaussianSpectralElement gEl(1.0, 10.0, 2.0); |
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52 | PolynomialSpectralElement pEl(1); |
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53 | list.add (gEl); |
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54 | list.add(pEl); |
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55 | |
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56 | cout << "toRecord" << endl; |
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57 | Record rec; |
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58 | list.toRecord(rec); |
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59 | cout << "fromRecord" << endl; |
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60 | SpectralList list2; |
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61 | String errMsg; |
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62 | if (!list2.fromRecord(errMsg, rec)) { |
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63 | throw(AipsError(errMsg)); |
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64 | } |
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65 | Double tol(1.0e-6); |
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66 | AlwaysAssert(list.nelements()==list.nelements(),AipsError); |
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67 | for (uInt i=0; i<list.nelements(); i++) { |
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68 | AlwaysAssert (list[i]->getType()==list2[i]->getType(), AipsError); |
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69 | Vector<Double> p1,p2; |
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70 | list[i]->get(p1); |
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71 | list2[i]->get(p2); |
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72 | AlwaysAssert(allNear(p1,p2,tol),AipsError); |
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73 | } |
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74 | cout << endl; |
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75 | } |
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76 | |
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77 | // get estimates |
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78 | { |
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79 | cout << "Test SpectralEstimate" << endl; |
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80 | cout << "---------------------------------------------------" << endl; |
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81 | const Int NPAR = 9; |
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82 | const Int NPTS = 100; |
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83 | uInt q = 2; |
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84 | Int r; |
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85 | Int n = NPTS; |
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86 | Int np = NPAR; |
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87 | Double rms = 0.5; |
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88 | Double cutoff= 1.0; |
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89 | Double minsig = 0.5; |
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90 | Double par[NPAR]; |
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91 | Vector<Float> y(NPTS); |
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92 | Vector<Float> xy(NPTS); |
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93 | |
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94 | par[0] = 5.0; par[1] = 45.0; par[2] = 1.1; |
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95 | par[3] = 4.0; par[4] = 50.0; par[5] = 1.1; |
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96 | par[6] = 6.0; par[7] = 55.0; par[8] = 1.1; |
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97 | for (Int i = 0; i<n; i++) { |
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98 | y(i) = 0.0; |
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99 | xy(i) = i; |
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100 | for (Int j = 0; j < np; j += 3) { |
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101 | if (par[j] != 0.0) { |
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102 | Double a = par[j]; |
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103 | Double c = (par[j+1] - Double(i)); |
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104 | Double s = par[j+2]; |
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105 | y(i) += a * exp( -0.5 * c / s * c / s ); |
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106 | }; |
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107 | }; |
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108 | }; |
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109 | cout << "Made spectrum with components: " << endl; |
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110 | for (uInt i=0; i<3; i++) { |
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111 | cout << GaussianSpectralElement( |
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112 | par[3*i+0], par[3*i+1], par[3*i+2]) << endl; |
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113 | }; |
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114 | { |
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115 | SpectralEstimate est(rms, cutoff, minsig); |
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116 | cout << "*** n " << n << endl; |
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117 | Vector<Float> deriv(n); |
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118 | const SpectralList &slist = est.estimate(y, &deriv); |
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119 | cout << "*** y " << y << endl; |
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120 | r = slist.nelements(); |
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121 | cout << "Found (using rms, cutoff, minsig, q): (" << |
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122 | rms << ", " << cutoff << ", " << minsig << ", " << q << ") " << |
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123 | r << " estimates" << endl; |
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124 | for (Int i=0; i<r; i++) { |
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125 | cout << "Estimate " << i << ": " << *slist[i] << endl; |
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126 | }; |
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127 | Vector<Float> res(NPTS); |
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128 | res = y; |
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129 | cout << "*** res " << res << endl; |
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130 | slist.residual(res); |
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131 | cout << "Minimum, Maximum residuals: " << min(res) << ", " << |
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132 | max(res) << endl; |
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133 | for (Int j=0; j<r; j++) { |
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134 | for (Int i = 0; i<n; i++) { |
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135 | res(i) = slist[j]->operator()(i); |
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136 | } |
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137 | } |
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138 | } |
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139 | { |
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140 | SpectralEstimate est(rms, cutoff, minsig); |
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141 | est.setWindowing(True); |
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142 | const SpectralList &slist = est.estimate(xy, y); |
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143 | r = slist.nelements(); |
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144 | cout << "Window (using rms, cutoff, minsig, q): (" << |
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145 | rms << ", " << cutoff << ", " << minsig << ", " << q << ") " << |
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146 | r << " estimates" << endl; |
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147 | for (Int i=0; i<r; i++) { |
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148 | cout << "Estimate " << i << ": " << *slist[i] << endl; |
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149 | }; |
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150 | } |
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151 | { |
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152 | q = 1; |
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153 | SpectralEstimate est(rms, cutoff, minsig); |
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154 | est.setQ(q); |
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155 | const SpectralList &slist = est.estimate(xy, y); |
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156 | r = slist.nelements(); |
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157 | cout << "Found (using rms, cutoff, minsig, q): (" << |
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158 | rms << ", " << cutoff << ", " << minsig << ", " << q << ") " << |
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159 | r << " estimates" << endl; |
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160 | for (Int i=0; i<r; i++) { |
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161 | cout << "Estimate " << i << ": " << *slist[i] << endl; |
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162 | }; |
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163 | } |
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164 | { |
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165 | q = 1; |
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166 | rms = cutoff = minsig = 0.0; |
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167 | SpectralEstimate est(rms, cutoff, minsig); |
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168 | est.setQ(q); |
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169 | const SpectralList &slist = est.estimate(xy, y); |
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170 | r = slist.nelements(); |
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171 | cout << "Found (using rms, cutoff, minsig, q): (" << |
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172 | rms << ", " << cutoff << ", " << minsig << ", " << q << ") " << |
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173 | r << " estimates" << endl; |
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174 | for (Int i=0; i<r; i++) { |
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175 | cout << "Estimate " << i << ": " << *slist[i] << endl; |
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176 | }; |
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177 | } |
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178 | { |
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179 | q = 2; |
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180 | rms = cutoff = minsig = 0.0; |
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181 | SpectralEstimate est(rms, cutoff, minsig); |
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182 | est.setQ(q); |
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183 | const SpectralList &slist = est.estimate(xy, y); |
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184 | r = slist.nelements(); |
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185 | cout << "Found (using rms, cutoff, minsig, q): (" << |
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186 | rms << ", " << cutoff << ", " << minsig << ", " << q << ") " << |
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187 | r << " estimates" << endl; |
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188 | for (Int i=0; i<r; i++) { |
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189 | cout << "Estimate " << i << ": " << *slist[i] << endl; |
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190 | }; |
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191 | } |
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192 | } |
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193 | |
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194 | // test fitter |
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195 | { |
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196 | // Number of components |
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197 | const uInt ncomp = 4; |
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198 | // Component data |
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199 | Double ampl[ncomp] = { 1, 2.5, 0.5, 5 }; |
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200 | Double center[ncomp] = { 0.25, 0.5, 0.75, 0.3 }; |
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201 | Double sigma[ncomp] = { 2, 4, 8, 3 }; |
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202 | MLCG genit; |
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203 | Normal noise(&genit, 0.0, 0.1); |
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204 | Vector<Double> freq(1024); |
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205 | Vector<Float> ffreq(1024); |
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206 | for (uInt i=0; i<1024; i++) { |
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207 | freq(i) = 1400 + i*10.0/1024.0; |
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208 | ffreq(i) = freq(i); |
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209 | }; |
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210 | |
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211 | try { |
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212 | cout << "Test SpectralFit" << endl; |
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213 | cout << "---------------------------------------------------" << endl; |
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214 | |
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215 | GaussianSpectralElement el[ncomp] = { |
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216 | GaussianSpectralElement(ampl[0], |
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217 | center[0]*10.+1400., sigma[0]*10./1024.), |
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218 | GaussianSpectralElement(ampl[1], |
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219 | center[1]*10.+1400., sigma[1]*10./1024.), |
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220 | GaussianSpectralElement(ampl[2], |
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221 | center[2]*10.+1400., sigma[2]*10./1024.), |
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222 | GaussianSpectralElement(ampl[3], |
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223 | center[3]*10.+1400., sigma[3]*10./1024.) }; |
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224 | |
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225 | cout << "Spectral elements: " << endl; |
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226 | for (uInt j=0; j<ncomp; j++) cout << el[j] << endl; |
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227 | cout << "---------------------------------------------------" << endl; |
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228 | |
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229 | Vector<Double> dat(1024); |
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230 | Vector<Float> fdat(1024); |
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231 | for (uInt i=0; i<1024; i++) { |
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232 | dat(i) = 0; |
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233 | for (uInt j=0; j<ncomp; j++) { |
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234 | dat(i) += el[j].getAmpl()*exp(-(freq(i)-el[j].getCenter())* |
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235 | (freq(i)-el[j].getCenter())*log(16.0)/ |
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236 | el[j].getSigma()/ |
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237 | el[j].getSigma()); |
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238 | }; |
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239 | dat(i) += noise(); |
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240 | fdat(i) = dat(i); |
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241 | }; |
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242 | cout << "Data for frequencies " << freq(300) << " - " << freq(315) << |
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243 | endl; |
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244 | for (uInt i=300; i<316; i++) cout << freq(i) << ": " << dat(i) << endl; |
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245 | cout << "---------------------------------------------------" << endl; |
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246 | |
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247 | cout << "Specify fitter on the 4 gaussians:" << endl; |
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248 | SpectralFit fitter; |
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249 | for (uInt i=0; i<ncomp; i++) fitter.addFitElement(el[i]); |
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250 | for (uInt i=0; i<fitter.list().nelements(); i++) { |
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251 | cout << *fitter.list()[i] << endl; |
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252 | }; |
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253 | |
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254 | cout << "---------------------------------------------------" << endl; |
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255 | cout << "Execute the fitter, can do (1:Y): " << |
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256 | fitter.fit(dat,freq) << endl; |
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257 | cout << "The results: " << endl; |
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258 | Vector<Double> tmp; |
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259 | for (uInt i=0; i<fitter.list().nelements(); i++) { |
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260 | cout << *fitter.list()[i]; |
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261 | fitter.list()[i]->get(tmp); |
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262 | cout << "Parameters: " << tmp << endl; |
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263 | fitter.list()[i]->getError(tmp); |
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264 | cout << "Errors: " << tmp << endl << endl; |
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265 | }; |
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266 | cout << ">>>" << endl; |
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267 | cout << "Number of iterations: " << fitter.nIterations() << endl; |
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268 | cout << "<<<" << endl; |
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269 | cout << "---------------------------------------------------" << endl; |
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270 | |
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271 | { |
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272 | el[3].fixAmpl(); |
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273 | SpectralFit fitter; |
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274 | for (uInt i=0; i<ncomp; i++) fitter.addFitElement(el[i]); |
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275 | for (uInt i=0; i<fitter.list().nelements(); i++) { |
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276 | cout << *fitter.list()[i] << endl; |
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277 | }; |
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278 | |
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279 | cout << "---------------------------------------------------" << endl; |
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280 | cout << "Execute the fitter again with a fixed ampl, can do (1:Y): " << |
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281 | fitter.fit(dat,freq) << endl; |
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282 | cout << "The results: " << endl; |
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283 | Vector<Double> tmp; |
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284 | for (uInt i=0; i<fitter.list().nelements(); i++) { |
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285 | cout << *fitter.list()[i]; |
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286 | fitter.list()[i]->get(tmp); |
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287 | cout << "Parameters: " << tmp << endl; |
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288 | fitter.list()[i]->getError(tmp); |
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289 | cout << "Errors: " << tmp << endl << endl; |
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290 | }; |
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291 | cout << ">>>" << endl; |
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292 | cout << "Number of iterations: " << fitter.nIterations() << endl; |
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293 | cout << "<<<" << endl; |
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294 | el[3].fixAmpl(False); |
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295 | } |
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296 | cout << "---------------------------------------------------" << endl; |
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297 | |
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298 | cout << "Different start values: " << endl; |
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299 | for (uInt i=0; i<ncomp; i++) { |
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300 | el[i].setAmpl(0.9*el[i].getAmpl()); |
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301 | el[i].setSigma(0.95*el[i].getSigma()); |
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302 | fitter.setFitElement(i, el[i]); |
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303 | }; |
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304 | for (uInt i=0; i<fitter.list().nelements(); i++) { |
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305 | cout << *fitter.list()[i] << endl; |
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306 | }; |
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307 | cout << "Execute the fitter, can do (1:Y): " << |
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308 | fitter.fit(dat, freq) << endl; |
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309 | cout << "The results: " << endl; |
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310 | for (uInt i=0; i<fitter.list().nelements(); i++) { |
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311 | cout << *fitter.list()[i] << endl; |
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312 | }; |
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313 | cout << ">>>" << endl; |
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314 | cout << "Number of iterations: " << fitter.nIterations() << endl; |
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315 | cout << "<<<" << endl; |
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316 | |
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317 | cout << "---------------------------------------------------" << endl; |
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318 | cout << "Differences: " << endl; |
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319 | Vector<Double> xdat(1024); |
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320 | Vector<Float> fxdat(1024); |
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321 | Double mx(-1e6); |
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322 | Double mn(1e6); |
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323 | Double avg(0); |
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324 | Double sg(0); |
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325 | xdat = dat; |
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326 | fitter.list().residual(xdat, freq); |
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327 | convertArray(fxdat, xdat); |
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328 | mx = max(xdat); |
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329 | mn = min(xdat); |
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330 | avg = sum(xdat); |
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331 | sg = sum(xdat*xdat); |
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332 | avg /= 1024.; |
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333 | sg = sqrt(sg/1024./1023.); |
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334 | cout << "Min difference: " << mn << |
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335 | ", max: " << mx << ", average: " << avg << |
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336 | ", sigma: " << sg << endl; |
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337 | cout << "---------------------------------------------------" << endl; |
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338 | |
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339 | cout << "---------------------------------------------------" << endl; |
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340 | cout << "Estimates: " << endl; |
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341 | SpectralEstimate mest(0.1, 0.5); |
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342 | mest.setQ(5); |
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343 | const SpectralList &slist = mest.estimate(fdat); |
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344 | Int mr = slist.nelements(); |
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345 | cout << "Found " << mr << " estimates" << endl; |
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346 | for (Int i=0; i<mr; i++) { |
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347 | cout << "Estimate " << i << ": " << *slist[i] << endl; |
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348 | }; |
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349 | fxdat= fdat; |
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350 | slist.residual(fxdat); |
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351 | for (Int j=0; j<mr; j++) { |
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352 | slist.evaluate(fxdat); |
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353 | }; |
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354 | |
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355 | cout << "---------------------------------------------------" << endl; |
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356 | cout << "Limited number of estimates: " << endl; |
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357 | { |
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358 | SpectralEstimate mest(0.1, 0.5, 0.0, 4); |
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359 | mest.setQ(5); |
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360 | const SpectralList &slist = mest.estimate(fdat); |
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361 | Int mr = slist.nelements(); |
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362 | cout << "Found " << mr << " estimates" << endl; |
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363 | for (Int i=0; i<mr; i++) { |
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364 | cout << "Estimate " << i << ": " << *slist[i] << endl; |
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365 | }; |
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366 | fxdat= fdat; |
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367 | slist.residual(fxdat); |
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368 | for (Int j=0; j<mr; j++) { |
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369 | slist.evaluate(fxdat); |
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370 | }; |
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371 | } |
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372 | cout << "---------------------------------------------------" << endl; |
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373 | |
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374 | } catch (AipsError x) { |
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375 | cout << x.getMesg() << endl; |
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376 | return 1; |
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377 | }; |
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378 | } |
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379 | |
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380 | return 0; |
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381 | } |
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