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annotate convergenceTable.m @ 87:0a29a60e0b21

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In Curve: Rearranged for speed. arc_length_fun is now a property of Curve. If it is not supplied, it is computed via the derivative and spline fitting. Switching to the arc length parameterization is much faster now. The new stuff can be tested with testArcLength.m (which should be deleted after that).
author Martin Almquist <martin.almquist@it.uu.se>
date Sun, 29 Nov 2015 22:23:09 +0100
parents ddfb98209aa2
children 6a5e94bb5e13
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23
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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
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14
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15 eW = 0;
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16 qW = 0;
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17 for i = 1:length(orders)
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18 log_e{i} = log10(e{i});
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19 eW = max(eW, findFieldWidth('%.2f',log_e{i}));
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20 qW = max(qW, findFieldWidth('%.2f',q{i}));
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21 end
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22
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23 mW = findFieldWidth('%d',m);
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24 orderHeaderWidth = eW + qW + 1;
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25
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26 fprintf('method: %s\nT: %d\n',methodName, T);
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27
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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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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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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 if i == 1
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60 fprintf(' %*.2f %*s |', eW, log_e{j}(i), qW, '');
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61 else
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62 fprintf(' %*.2f %*.2f |', eW, log_e{j}(i), qW, q{j}(i-1));
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63 end
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64 end
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65 fprintf('\n');
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66 end
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67
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68 fprintf('\n');
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69
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70 end
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71
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72 function latexTable(methodName, T, orders, m, e, q)
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73
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74 nOrders = length(orders);
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75
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76 header = {
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77 '\begin{table}[H]'
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78 '\centering'
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79 ['\begin{tabular}{c' repmat('|cc',1,nOrders) '} &']
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80 orderheaders(orders)
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81 '\hline'
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82 ['$N$' repmat('& $log_{10}(l_2)$ & $q$',1,nOrders) ' \\']
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83 '\hline'
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84 };
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85
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86 footer = {
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87 '\end{tabular}'
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88 '\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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89 '\label{table:LABEL}'
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90 '\end{table}'
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91 };
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92
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93 data = cell(1,length(m));
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94 data{1} = num2str(m(1));
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95 for j = 1:nOrders
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96 data{1} = [data{1} ' & ' sprintf('%8.2f',log10(orders(j).e(1))) ' & ' ];
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97 end
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98 data{1} = [data{1} '\\'];
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99
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100 for i = 2:length(m)
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101 data{i} = [data{i} num2str(m(i)) ];
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102 for j = 1:nOrders
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103 data{i} = [data{i} ' & ' sprintf('%8.2f',log10(orders(j).e(i))) ' & ' sprintf('%8.2f',(orders(j).q(i-1))) ];
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104 end
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105 data{i} = [data{i} '\\'];
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106 end
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107
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108 nlc = sprintf('\n');
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109
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110 header = strjoin(header', nlc);
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111 data = strjoin(data, nlc);
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112 footer = strjoin(footer', nlc);
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113
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114 table = strjoin({header, data, footer}, nlc);
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115 fprintf('%s\n', table);
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116 end
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117
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118
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119
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120 function s = orderheaders(orders)
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121 s= sprintf('\\multicolumn{2}{|c}{%dth order}',orders(1).order);
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122 nOrders = length(orders);
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123 for i = 2:nOrders
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124 s = [s sprintf('& \\multicolumn{2}{|c}{%dth order}',orders(i).order)];
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125 end
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126 s = [s ' \\'];
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127 end