# Generated Code

The following is matlab code generated by the CellML API from this CellML file. (Back to language selection)

The raw code is available.

```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 =3;
end
% There are a total of 1 entries in each of the rate and state variable arrays.
% There are a total of 7 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_VOI = strpad('x in component main (dimensionless)');
LEGEND_ALGEBRAIC(:,1) = strpad('sin in component sin (dimensionless)');
LEGEND_STATES(:,1) = strpad('sin in component sin (dimensionless)');
LEGEND_CONSTANTS(:,1) = strpad('deriv_approx_initial_value in component main (dimensionless)');
LEGEND_ALGEBRAIC(:,3) = strpad('sin in component sin (dimensionless)');
LEGEND_CONSTANTS(:,3) = strpad('k2_oPi in component sin (dimensionless)');
LEGEND_CONSTANTS(:,4) = strpad('k2Pi in component sin (dimensionless)');
LEGEND_CONSTANTS(:,5) = strpad('kPi_2 in component sin (dimensionless)');
LEGEND_CONSTANTS(:,6) = strpad('kPi in component sin (dimensionless)');
LEGEND_CONSTANTS(:,7) = strpad('kPi_32 in component sin (dimensionless)');
LEGEND_ALGEBRAIC(:,2) = strpad('z in component sin (dimensionless)');
LEGEND_CONSTANTS(:,2) = strpad('C in component sin (dimensionless)');
LEGEND_RATES(:,1) = strpad('d/dt sin in component sin (dimensionless)');
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) = 0.75;
CONSTANTS(:,3) = 2.00000./ pi;
CONSTANTS(:,4) =  2.00000.* pi;
CONSTANTS(:,5) =  pi./2.00000;
CONSTANTS(:,6) =  pi;
CONSTANTS(:,7) = ( 3.00000.* pi)./2.00000;
STATES(:,1) = CONSTANTS(:,1);
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);
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
end
RATES(:,1) = cos(VOI);
RATES = RATES';
end

% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
ALGEBRAIC(:,1) =  sin(VOI);
ALGEBRAIC(:,2) = piecewise({VOI<CONSTANTS(:,5),  VOI.*CONSTANTS(:,3) - 0.500000 , VOI<CONSTANTS(:,6),  ( pi - VOI).*CONSTANTS(:,3) - 0.500000 , VOI<CONSTANTS(:,7),  (VOI -  pi).*CONSTANTS(:,3) - 0.500000 },  (CONSTANTS(:,4) - VOI).*CONSTANTS(:,3) - 0.500000);
ALGEBRAIC(:,3) = piecewise({VOI<CONSTANTS(:,5),  - ( ALGEBRAIC(:,2).*ALGEBRAIC(:,2))+CONSTANTS(:,2)+ALGEBRAIC(:,2) , VOI<CONSTANTS(:,6),  - ( ALGEBRAIC(:,2).*ALGEBRAIC(:,2))+CONSTANTS(:,2)+ALGEBRAIC(:,2) , VOI<CONSTANTS(:,7), ( ALGEBRAIC(:,2).*ALGEBRAIC(:,2) - CONSTANTS(:,2)) - ALGEBRAIC(:,2) }, ( ALGEBRAIC(:,2).*ALGEBRAIC(:,2) - CONSTANTS(:,2)) - ALGEBRAIC(:,2));
end

% Compute result of a piecewise function
function x = piecewise(cases, default)
set = [0];
for i = 1:2:length(cases)
if (length(cases{i+1}) == 1)
x(cases{i} & ~set,:) = cases{i+1};
else
x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
end
set = set | cases{i};
if(set), break, end
end
if (length(default) == 1)
x(~set,:) = default;
else
x(~set,:) = default(~set);
end
end

% Pad out or shorten strings to a set length
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

```
Source
Derived from workspace Approximating Sine Waves at changeset e3567cbdc3ae.
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