view convergenceTable.m @ 1198:2924b3a9b921 feature/d2_compatible

Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents 2663be328d9a
children
line wrap: on
line source

function convergenceTable(caption, orders, m, e, q, tableType)
    default_arg('tableType','plaintext')

    switch tableType
        case {'plaintext','text','plain'}
            plainTextTable(caption, orders, m, e, q);
        case {'tex', 'latex'}
            latexTable(caption, orders, m, e, q);
    end
end

function plainTextTable(caption, orders, m, e, q)


    eW = 0;
    qW = 0;
    for i = 1:length(orders)
        log_e{i} = log10(e{i});
        eW = max(eW, findFieldWidth('%.2f',log_e{i}));
        qW = max(qW, findFieldWidth('%.2f',q{i}));
    end

    mW = findFieldWidth('%d',m);
    orderHeaderWidth = eW + qW + 1;

    fprintf('%s\n',caption);

    % Print order headers
    fprintf(' %*s |',mW,'')
    for i = 1:length(orders)
        fprintf(' %-*s |', orderHeaderWidth, sprintf('Order %d', orders{i}));
    end
    fprintf('\n');


    % Print eq headers
    fprintf(' %*s |',mW,'m');
    for i = 1:length(orders)
        fprintf(' %*s %*s |', eW, 'e', qW, 'q');
    end
    fprintf('\n');


    % Print devider
    m_dev = repmat('-',1,mW);
    column_dev = repmat('-',1,orderHeaderWidth);
    fprintf('-%s-+',m_dev);
    for i = 1:length(orders)
        fprintf('-%s-+', column_dev);
    end
    fprintf('\n');



    % Print each row
    for i = 1:length(m)
        fprintf(' %*d |',mW,m(i));
        for j = 1:length(orders)
            if i == 1
                fprintf(' %*.2f %*s |', eW, log_e{j}(i), qW, '');
            else
                fprintf(' %*.2f %*.2f |', eW, log_e{j}(i), qW, q{j}(i-1));
            end
        end
        fprintf('\n');
    end

    fprintf('\n');

end

function latexTable(caption, orders, m, e, q)

    nOrders = length(orders);

    header = {
        '\begin{table}[H]'
        '\centering'
        ['\begin{tabular}{c' repmat('|cc',1,nOrders) '} &']
        orderheaders(orders)
        '\hline'
        ['$N$'   repmat('& $log_{10}(l_2)$ & $q$',1,nOrders) ' \\']
        '\hline'
    };

    footer = {
        '\end{tabular}'
        ['\caption{' caption '}']
        '\label{table:LABEL}'
        '\end{table}'
    };

    data = cell(1,length(m));
    data{1} = num2str(m(1));
    for j = 1:nOrders
        data{1} = [data{1} ' & ' sprintf('%8.2f',log10(e{j}(1))) ' &         ' ];
    end
    data{1} = [data{1} '\\'];

    for i = 2:length(m)
        data{i} = [data{i} num2str(m(i))  ];
        for j = 1:nOrders
            data{i} = [data{i} ' & ' sprintf('%8.2f',log10(e{j}(i)))  ' & '  sprintf('%8.2f',(q{j}(i-1))) ];
        end
        data{i} = [data{i} '\\'];
    end

    nlc = sprintf('\n');

    header = strjoin(header', nlc);
    data = strjoin(data, nlc);
    footer = strjoin(footer', nlc);

    table = strjoin({header, data, footer}, nlc);
    fprintf('%s\n', table);
end



function s = orderheaders(orders)
    s= sprintf('\\multicolumn{2}{|c}{%dth order}',orders{1});
    nOrders = length(orders);
    for i = 2:nOrders
        s = [s sprintf('& \\multicolumn{2}{|c}{%dth order}',orders{i})];
    end
    s = [s ' \\'];
end