# Generated Code

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

The raw code is available.

# Size of variable arrays: sizeAlgebraic = 9 sizeStates = 1 sizeConstants = 13 from math import * from numpy import * def createLegends(): legend_states = [""] * sizeStates legend_rates = [""] * sizeStates legend_algebraic = [""] * sizeAlgebraic legend_voi = "" legend_constants = [""] * sizeConstants legend_voi = "t in component main (second)" legend_states[0] = "omega in component main (per_s)" legend_constants[0] = "omega_ref in component main (per_s)" legend_algebraic[0] = "logOmega in component main (dimensionless)" legend_constants[1] = "E_1 in component main (J_per_C2)" legend_constants[2] = "E_2 in component main (J_per_m2)" legend_constants[3] = "R_1 in component main (Js_per_C2)" legend_constants[4] = "R_2 in component main (Js_per_m2)" legend_constants[5] = "L_1 in component main (Js2_per_C2)" legend_constants[6] = "L_2 in component main (Js2_per_m2)" legend_constants[7] = "Bl in component main (Js_per_C_m)" legend_algebraic[1] = "x_1 in component main (J_per_m2)" legend_algebraic[2] = "x_2 in component main (J2_per_m4)" legend_constants[10] = "omega_3 in component main (per_s)" legend_constants[11] = "logOmega_3 in component main (dimensionless)" legend_algebraic[3] = "G_real in component main (Js_per_C2)" legend_algebraic[4] = "G_imag in component main (Js_per_C2)" legend_algebraic[5] = "amplitude in component main (Js_per_C2)" legend_constants[8] = "amplitude_ref in component main (Js_per_C2)" legend_algebraic[6] = "phase in component main (dimensionless)" legend_constants[9] = "phase_ref in component main (dimensionless)" legend_algebraic[7] = "phase_degrees in component main (dimensionless)" legend_algebraic[8] = "logAmplitude in component main (dimensionless)" legend_rates[0] = "d/dt omega in component main (per_s)" return (legend_states, legend_algebraic, legend_voi, legend_constants) def initConsts(): constants = [0.0] * sizeConstants; states = [0.0] * sizeStates; states[0] = 0.1 constants[0] = 1 constants[1] = 0 constants[2] = 2000 constants[3] = 3.5 constants[4] = 0.4 constants[5] = 0.15 constants[6] = 0.018 constants[7] = 10 constants[8] = 1 constants[9] = 1 constants[10] = power(constants[2]/constants[6], 1.0/2) constants[12] = 1.00000 constants[11] = log(constants[10]/constants[0], 10) return (states, constants) def computeRates(voi, states, constants): rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic rates[0] = constants[12] return(rates) def computeAlgebraic(constants, states, voi): algebraic = array([[0.0] * len(voi)] * sizeAlgebraic) states = array(states) voi = array(voi) algebraic[0] = log(states[0]/constants[0], 10) algebraic[1] = constants[2]-(power(states[0], 2.00000))*constants[6] algebraic[2] = power(algebraic[1], 2.00000)+power(states[0]*constants[4], 2.00000) algebraic[3] = constants[3]+(constants[4]*(power(states[0]*constants[7], 2.00000)))/algebraic[2] algebraic[4] = states[0]*(constants[5]+((power(constants[7], 2.00000))*algebraic[1])/algebraic[2]) algebraic[5] = power(power(algebraic[3], 2.00000)+power(algebraic[4], 2.00000), 1.0/2) algebraic[6] = arctan(algebraic[4]/algebraic[3]) algebraic[7] = (algebraic[6]*180.000)/ pi algebraic[8] = log(algebraic[5]/constants[8], 10) return algebraic def solve_model(): """Solve model with ODE solver""" from scipy.integrate import ode # Initialise constants and state variables (init_states, constants) = initConsts() # Set timespan to solve over voi = linspace(0, 10, 500) # Construct ODE object to solve r = ode(computeRates) r.set_integrator('vode', method='bdf', atol=1e-06, rtol=1e-06, max_step=1) r.set_initial_value(init_states, voi[0]) r.set_f_params(constants) # Solve model states = array([[0.0] * len(voi)] * sizeStates) states[:,0] = init_states for (i,t) in enumerate(voi[1:]): if r.successful(): r.integrate(t) states[:,i+1] = r.y else: break # Compute algebraic variables algebraic = computeAlgebraic(constants, states, voi) return (voi, states, algebraic) def plot_model(voi, states, algebraic): """Plot variables against variable of integration""" import pylab (legend_states, legend_algebraic, legend_voi, legend_constants) = createLegends() pylab.figure(1) pylab.plot(voi,vstack((states,algebraic)).T) pylab.xlabel(legend_voi) pylab.legend(legend_states + legend_algebraic, loc='best') pylab.show() if __name__ == "__main__": (voi, states, algebraic) = solve_model() plot_model(voi, states, algebraic)