Mercurial > repos > public > sbplib

annotate convergenceTable.m @ 27:97a638f91fb8

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Added function spdiag(). Fixed a bunch of bugs in the Wave2dCurve scheme.
author Jonatan Werpers <jonatan@werpers.com>
date Sun, 27 Sep 2015 22:15:37 +0200
parents ad1a41d135a1
children ddfb98209aa2
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23
ad1a41d135a1 Added function to calculate convergence given errors. Added function to print convergence table (not finished.)
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1 function convergenceTable(methodName, T, orders, m, e, q, tableType)
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2 default_arg('tableType','plaintext')
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3
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4 switch tableType
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5 case {'plaintext','text','plain'}
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6 plainTextTable(methodName, T, orders, m, e, q);
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7 case {'tex', 'latex'}
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8 latexTable(methodName, T, orders, m, e, q);
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9 end
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10 end
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11
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12 function plainTextTable(methodName, T, orders, m, e, q)
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13 description = sprintf('method: %s\nT: %d\n');
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14
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15
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16 eW = 0;
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17 qW = 0;
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18 for i = 1:length(orders)
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19 log_e{i} = log10(e{i});
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20 eW = max(eW, findFieldWidth('%.2f',log_e{i}));
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21 qW = max(qW, findFieldWidth('%.2f',q{i}));
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22 end
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23
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24 mW = findFieldWidth('%d',m);
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25 orderHeaderWidth = eW + qW + 1;
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28 % Print order headers
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29 fprintf(' %*s |',mW,'')
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30 for i = 1:length(orders)
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31 fprintf(' %-*s |', orderHeaderWidth, sprintf('Order %d', orders{i}));
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32 end
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33 fprintf('\n');
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34
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35
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36 % Print eq headers
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37 fprintf(' %*s |',mW,'m');
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38 for i = 1:length(orders)
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39 fprintf(' %*s %*s |', eW, 'e', qW, 'q');
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40 end
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41 fprintf('\n');
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42
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43
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44 % Print devider
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45 m_dev = repmat('-',1,mW);
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46 column_dev = repmat('-',1,orderHeaderWidth);
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47 fprintf('-%s-+',m_dev);
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48 for i = 1:length(orders)
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49 fprintf('-%s-+', column_dev);
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50 end
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51 fprintf('\n');
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52
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54
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55 % Print each row
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56 for i = 1:length(m)
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57 fprintf(' %*d |',mW,m(i));
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58 for j = 1:length(orders)
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59 fprintf(' %*.2f %*.2f |', eW, log_e{j}(i), qW, q{j}(i));
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60 end
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61 fprintf('\n');
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62 end
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63
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64 end
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65
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66 function latexTable(methodName, T, orders, m, e, q)
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67
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68 nOrders = length(orders);
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69
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70 header = {
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71 '\begin{table}[H]'
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72 '\centering'
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73 ['\begin{tabular}{c' repmat('|cc',1,nOrders) '} &']
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74 orderheaders(orders)
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75 '\hline'
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76 ['$N$' repmat('& $log_{10}(l_2)$ & $q$',1,nOrders) ' \\']
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77 '\hline'
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78 };
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79
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80 footer = {
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81 '\end{tabular}'
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82 '\caption{Error $l_2$, and convergence rate, $q$, for SBP operators of orders 4 and 6 at different grid densities $N$. PROBLEM DESCRIPTION.}'
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83 '\label{table:LABEL}'
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84 '\end{table}'
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85 };
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86
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87 data = cell(1,length(m));
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88 data{1} = num2str(m(1));
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89 for j = 1:nOrders
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90 data{1} = [data{1} ' & ' sprintf('%8.2f',log10(orders(j).e(1))) ' & ' ];
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91 end
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92 data{1} = [data{1} '\\'];
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93
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94 for i = 2:length(m)
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95 data{i} = [data{i} num2str(m(i)) ];
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96 for j = 1:nOrders
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97 data{i} = [data{i} ' & ' sprintf('%8.2f',log10(orders(j).e(i))) ' & ' sprintf('%8.2f',(orders(j).q(i-1))) ];
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98 end
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99 data{i} = [data{i} '\\'];
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100 end
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101
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102 nlc = sprintf('\n');
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103
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104 header = strjoin(header', nlc);
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105 data = strjoin(data, nlc);
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106 footer = strjoin(footer', nlc);
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107
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108 table = strjoin({header, data, footer}, nlc);
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109 fprintf('%s\n', table);
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110 end
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111
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112
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113
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114 function s = orderheaders(orders)
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115 s= sprintf('\\multicolumn{2}{|c}{%dth order}',orders(1).order);
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116 nOrders = length(orders);
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117 for i = 2:nOrders
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118 s = [s sprintf('& \\multicolumn{2}{|c}{%dth order}',orders(i).order)];
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119 end
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120 s = [s ' \\'];
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121 end