function [VOI, STATES, ALGEBRAIC, CONSTANTS] = mainFunction()
    % This is the "main function".  In Matlab, things work best if you rename this function to match the filename.
   [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel();
end

function [algebraicVariableCount] = getAlgebraicVariableCount() 
    % Used later when setting a global variable with the number of algebraic variables.
    % Note: This is not the "main method".  
    algebraicVariableCount =0;
end
% There are a total of 0 entries in each of the rate and state variable arrays.
% There are a total of 18 entries in the constant variable array.
%

function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
    % Create ALGEBRAIC of correct size
    global algebraicVariableCount;  algebraicVariableCount = getAlgebraicVariableCount();
    % Initialise constants and state variables
    [INIT_STATES, CONSTANTS] = initConsts;

    % Set timespan to solve over 
    tspan = [0, 10];

    % Set numerical accuracy options for ODE solver
    options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);

    % Solve model with ODE solver
    [VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);

    % Compute algebraic variables
    [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
    ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);

    % Plot state variables against variable of integration
    [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
    figure();
    plot(VOI, STATES);
    xlabel(LEGEND_VOI);
    l = legend(LEGEND_STATES);
    set(l,'Interpreter','none');
end

function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
    LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
    LEGEND_CONSTANTS(:,1) = strpad('E11 in component interface (strain)');
    LEGEND_CONSTANTS(:,2) = strpad('E22 in component interface (strain)');
    LEGEND_CONSTANTS(:,3) = strpad('E33 in component interface (strain)');
    LEGEND_CONSTANTS(:,4) = strpad('E12 in component interface (strain)');
    LEGEND_CONSTANTS(:,5) = strpad('E13 in component interface (strain)');
    LEGEND_CONSTANTS(:,6) = strpad('E23 in component interface (strain)');
    LEGEND_CONSTANTS(:,7) = strpad('c1 in component interface (strain)');
    LEGEND_CONSTANTS(:,8) = strpad('c2 in component interface (strain)');
    LEGEND_CONSTANTS(:,9) = strpad('c3 in component interface (strain)');
    LEGEND_CONSTANTS(:,10) = strpad('c4 in component interface (strain)');
    LEGEND_CONSTANTS(:,11) = strpad('c5 in component interface (strain)');
    LEGEND_CONSTANTS(:,13) = strpad('Tdev11 in component equations (stress)');
    LEGEND_CONSTANTS(:,14) = strpad('Tdev22 in component equations (stress)');
    LEGEND_CONSTANTS(:,15) = strpad('Tdev33 in component equations (stress)');
    LEGEND_CONSTANTS(:,16) = strpad('Tdev12 in component equations (stress)');
    LEGEND_CONSTANTS(:,17) = strpad('Tdev13 in component equations (stress)');
    LEGEND_CONSTANTS(:,18) = strpad('Tdev23 in component equations (stress)');
    LEGEND_CONSTANTS(:,12) = strpad('Q in component equations (strain)');
    LEGEND_STATES  = LEGEND_STATES';
    LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
    LEGEND_RATES = LEGEND_RATES';
    LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end

function [STATES, CONSTANTS] = initConsts()
    VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
    CONSTANTS(:,1) = 0;
    CONSTANTS(:,2) = 0;
    CONSTANTS(:,3) = 0;
    CONSTANTS(:,4) = 0;
    CONSTANTS(:,5) = 0;
    CONSTANTS(:,6) = 0;
    CONSTANTS(:,7) = 0.88;
    CONSTANTS(:,8) = 0;
    CONSTANTS(:,9) = 18.5;
    CONSTANTS(:,10) = 3.58;
    CONSTANTS(:,11) = 3.26;
    CONSTANTS(:,12) =  2.00000.*CONSTANTS(:,8).*(CONSTANTS(:,1)+CONSTANTS(:,2)+CONSTANTS(:,3))+ CONSTANTS(:,9).*power(CONSTANTS(:,1), 2.00000)+ CONSTANTS(:,10).*(power(CONSTANTS(:,3), 2.00000)+power(CONSTANTS(:,2), 2.00000)+ power(CONSTANTS(:,6), 2.00000).*2.00000)+ 2.00000.*CONSTANTS(:,11).*(power(CONSTANTS(:,5), 2.00000)+power(CONSTANTS(:,4), 2.00000));
    CONSTANTS(:,13) =  CONSTANTS(:,7).*exp(CONSTANTS(:,12)).*(CONSTANTS(:,8)+ CONSTANTS(:,9).*CONSTANTS(:,1));
    CONSTANTS(:,14) =  CONSTANTS(:,7).*exp(CONSTANTS(:,12)).*(CONSTANTS(:,8)+ CONSTANTS(:,10).*CONSTANTS(:,2));
    CONSTANTS(:,15) =  CONSTANTS(:,7).*exp(CONSTANTS(:,12)).*(CONSTANTS(:,8)+ CONSTANTS(:,10).*CONSTANTS(:,3));
    CONSTANTS(:,16) =  CONSTANTS(:,7).*exp(CONSTANTS(:,12)).*CONSTANTS(:,11).*CONSTANTS(:,4);
    CONSTANTS(:,17) =  CONSTANTS(:,7).*exp(CONSTANTS(:,12)).*CONSTANTS(:,11).*CONSTANTS(:,5);
    CONSTANTS(:,18) =  CONSTANTS(:,7).*exp(CONSTANTS(:,12)).*CONSTANTS(:,10).*CONSTANTS(:,6);
    if (isempty(STATES)), warning('Initial values for states not set');, end
end

function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
    global algebraicVariableCount;
    statesSize = size(STATES);
    statesColumnCount = statesSize(2);
    if ( statesColumnCount == 1)
        STATES = STATES';
        ALGEBRAIC = zeros(1, algebraicVariableCount);
        utilOnes = 1;
    else
        statesRowCount = statesSize(1);
        ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
        RATES = zeros(statesRowCount, statesColumnCount);
        utilOnes = ones(statesRowCount, 1);
    end
   RATES = RATES';
end

% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
    statesSize = size(STATES);
    statesColumnCount = statesSize(2);
    if ( statesColumnCount == 1)
        STATES = STATES';
        utilOnes = 1;
    else
        statesRowCount = statesSize(1);
        utilOnes = ones(statesRowCount, 1);
    end
end

% Pad out or shorten strings to a set length
function strout = strpad(strin)
    req_length = 160;
    insize = size(strin,2);
    if insize > req_length
        strout = strin(1:req_length);
    else
        strout = [strin, blanks(req_length - insize)];
    end
end