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 = 34
sizeStates = 14
sizeConstants = 88
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 environment (second)"
legend_algebraic[18] = "Pi in component TempCDa (UnitP)"
legend_states[0] = "Pi in component TempRLC (UnitP)"
legend_algebraic[30] = "Qo in component TempRC (UnitQ)"
legend_algebraic[10] = "Qo in component TempCDv (UnitQ)"
legend_algebraic[19] = "Pi in component TempCDa (UnitP)"
legend_states[1] = "Pi in component TempRLC (UnitP)"
legend_algebraic[31] = "Qo in component TempRC (UnitQ)"
legend_algebraic[11] = "Qo in component TempCDv (UnitQ)"
legend_algebraic[6] = "Pi in component TempCDv (UnitP)"
legend_algebraic[22] = "Qo in component TempCDa (UnitQ)"
legend_constants[0] = "CVao in component ParaHeart (UnitCV)"
legend_algebraic[4] = "E in component EVentricle (UnitE)"
legend_states[2] = "V in component TempCDv (UnitV)"
legend_constants[1] = "PlvIni in component ParaHeart (UnitP)"
legend_constants[2] = "VlvIni in component ParaHeart (UnitV)"
legend_algebraic[8] = "Tao in component TempCDv (dimensionless)"
legend_constants[3] = "Vlv0 in component ParaHeart (UnitV)"
legend_constants[4] = "CVmi in component ParaHeart (UnitCV)"
legend_algebraic[16] = "E in component EAtrium (UnitE)"
legend_states[3] = "V in component TempCDa (UnitV)"
legend_constants[5] = "PlaIni in component ParaHeart (UnitP)"
legend_constants[6] = "VlaIni in component ParaHeart (UnitV)"
legend_algebraic[20] = "Tao in component TempCDa (dimensionless)"
legend_constants[7] = "Vla0 in component ParaHeart (UnitV)"
legend_constants[8] = "ElvMax in component ParaHeart (UnitE)"
legend_constants[9] = "ElvMin in component ParaHeart (UnitE)"
legend_constants[10] = "T in component ParaHeart (second)"
legend_constants[11] = "Ts1 in component ParaHeart (dimensionless)"
legend_constants[12] = "Ts2 in component ParaHeart (dimensionless)"
legend_algebraic[0] = "mt in component EVentricle (second)"
legend_algebraic[2] = "et in component EVentricle (dimensionless)"
legend_constants[13] = "ElaMax in component ParaHeart (UnitE)"
legend_constants[14] = "ElaMin in component ParaHeart (UnitE)"
legend_constants[15] = "Tpwb in component ParaHeart (dimensionless)"
legend_constants[16] = "Tpww in component ParaHeart (dimensionless)"
legend_algebraic[12] = "mt in component EAtrium (second)"
legend_algebraic[14] = "et in component EAtrium (dimensionless)"
legend_constants[17] = "EraMax in component ParaHeart (UnitE)"
legend_constants[18] = "EraMin in component ParaHeart (UnitE)"
legend_constants[19] = "PraIni in component ParaHeart (UnitP)"
legend_constants[20] = "VraIni in component ParaHeart (UnitV)"
legend_constants[21] = "ErvMax in component ParaHeart (UnitE)"
legend_constants[22] = "ErvMin in component ParaHeart (UnitE)"
legend_constants[23] = "PrvIni in component ParaHeart (UnitP)"
legend_constants[24] = "VrvIni in component ParaHeart (UnitV)"
legend_constants[25] = "CVpa in component ParaHeart (UnitCV)"
legend_constants[26] = "CVti in component ParaHeart (UnitCV)"
legend_constants[27] = "Vra0 in component ParaHeart (UnitV)"
legend_constants[28] = "Vrv0 in component ParaHeart (UnitV)"
legend_algebraic[7] = "Pi in component TempCDv (UnitP)"
legend_algebraic[23] = "Qo in component TempCDa (UnitQ)"
legend_constants[29] = "CVpa in component ParaHeart (UnitCV)"
legend_algebraic[5] = "E in component EVentricle (UnitE)"
legend_states[4] = "V in component TempCDv (UnitV)"
legend_constants[30] = "PrvIni in component ParaHeart (UnitP)"
legend_constants[31] = "VrvIni in component ParaHeart (UnitV)"
legend_algebraic[9] = "Tao in component TempCDv (dimensionless)"
legend_constants[32] = "Vrv0 in component ParaHeart (UnitV)"
legend_constants[33] = "CVti in component ParaHeart (UnitCV)"
legend_algebraic[17] = "E in component EAtrium (UnitE)"
legend_states[5] = "V in component TempCDa (UnitV)"
legend_constants[34] = "PraIni in component ParaHeart (UnitP)"
legend_constants[35] = "VraIni in component ParaHeart (UnitV)"
legend_algebraic[21] = "Tao in component TempCDa (dimensionless)"
legend_constants[36] = "Vra0 in component ParaHeart (UnitV)"
legend_constants[37] = "ErvMax in component ParaHeart (UnitE)"
legend_constants[38] = "ErvMin in component ParaHeart (UnitE)"
legend_constants[39] = "T in component ParaHeart (second)"
legend_constants[40] = "Ts1 in component ParaHeart (dimensionless)"
legend_constants[41] = "Ts2 in component ParaHeart (dimensionless)"
legend_algebraic[1] = "mt in component EVentricle (second)"
legend_algebraic[3] = "et in component EVentricle (dimensionless)"
legend_constants[42] = "EraMax in component ParaHeart (UnitE)"
legend_constants[43] = "EraMin in component ParaHeart (UnitE)"
legend_constants[44] = "Tpwb in component ParaHeart (dimensionless)"
legend_constants[45] = "Tpww in component ParaHeart (dimensionless)"
legend_algebraic[13] = "mt in component EAtrium (second)"
legend_algebraic[15] = "et in component EAtrium (dimensionless)"
legend_constants[46] = "ElaMax in component ParaHeart (UnitE)"
legend_constants[47] = "ElaMin in component ParaHeart (UnitE)"
legend_constants[48] = "PlaIni in component ParaHeart (UnitP)"
legend_constants[49] = "VlaIni in component ParaHeart (UnitV)"
legend_constants[50] = "ElvMax in component ParaHeart (UnitE)"
legend_constants[51] = "ElvMin in component ParaHeart (UnitE)"
legend_constants[52] = "PlvIni in component ParaHeart (UnitP)"
legend_constants[53] = "VlvIni in component ParaHeart (UnitV)"
legend_constants[54] = "CVao in component ParaHeart (UnitCV)"
legend_constants[55] = "CVmi in component ParaHeart (UnitCV)"
legend_constants[56] = "Vlv0 in component ParaHeart (UnitV)"
legend_constants[57] = "Vla0 in component ParaHeart (UnitV)"
legend_states[6] = "Pi in component TempRLC (UnitP)"
legend_states[7] = "Qo in component TempRLC (UnitQ)"
legend_constants[58] = "Rsas in component ParaSys (UnitR)"
legend_constants[59] = "Csas in component ParaSys (UnitC)"
legend_constants[60] = "Lsas in component ParaSys (UnitL)"
legend_constants[61] = "P0sas in component ParaSys (UnitP)"
legend_constants[62] = "Q0sas in component ParaSys (UnitQ)"
legend_algebraic[32] = "Pi in component TempR (UnitP)"
legend_states[8] = "Qo in component TempRLC (UnitQ)"
legend_constants[63] = "Rsat in component ParaSys (UnitR)"
legend_constants[64] = "Csat in component ParaSys (UnitC)"
legend_constants[65] = "Lsat in component ParaSys (UnitL)"
legend_constants[66] = "P0sat in component ParaSys (UnitP)"
legend_constants[67] = "Q0sat in component ParaSys (UnitQ)"
legend_algebraic[28] = "Pi in component TempR (UnitP)"
legend_algebraic[25] = "Qo in component TempR (UnitQ)"
legend_constants[68] = "Rsar in component ParaSys (UnitR)"
legend_states[9] = "Pi in component TempRC (UnitP)"
legend_algebraic[27] = "Qo in component TempR (UnitQ)"
legend_constants[69] = "Rscp in component ParaSys (UnitR)"
legend_constants[70] = "Rsvn in component ParaSys (UnitR)"
legend_constants[71] = "Csvn in component ParaSys (UnitC)"
legend_constants[72] = "P0svn in component ParaSys (UnitP)"
legend_states[10] = "Pi in component TempRLC (UnitP)"
legend_states[11] = "Qo in component TempRLC (UnitQ)"
legend_constants[73] = "Rpas in component ParaPul (UnitR)"
legend_constants[74] = "Cpas in component ParaPul (UnitC)"
legend_constants[75] = "Lpas in component ParaPul (UnitL)"
legend_constants[76] = "P0pas in component ParaPul (UnitP)"
legend_constants[77] = "Q0pas in component ParaPul (UnitQ)"
legend_algebraic[33] = "Pi in component TempR (UnitP)"
legend_states[12] = "Qo in component TempRLC (UnitQ)"
legend_constants[78] = "Rpat in component ParaPul (UnitR)"
legend_constants[79] = "Cpat in component ParaPul (UnitC)"
legend_constants[80] = "Lpat in component ParaPul (UnitL)"
legend_constants[81] = "P0pat in component ParaPul (UnitP)"
legend_constants[82] = "Q0pat in component ParaPul (UnitQ)"
legend_algebraic[29] = "Pi in component TempR (UnitP)"
legend_algebraic[24] = "Qo in component TempR (UnitQ)"
legend_constants[83] = "Rpar in component ParaPul (UnitR)"
legend_states[13] = "Pi in component TempRC (UnitP)"
legend_algebraic[26] = "Qo in component TempR (UnitQ)"
legend_constants[84] = "Rpcp in component ParaPul (UnitR)"
legend_constants[85] = "Rpvn in component ParaPul (UnitR)"
legend_constants[86] = "Cpvn in component ParaPul (UnitC)"
legend_constants[87] = "P0pvn in component ParaPul (UnitP)"
legend_rates[2] = "d/dt V in component TempCDv (UnitV)"
legend_rates[3] = "d/dt V in component TempCDa (UnitV)"
legend_rates[4] = "d/dt V in component TempCDv (UnitV)"
legend_rates[5] = "d/dt V in component TempCDa (UnitV)"
legend_rates[0] = "d/dt Pi in component TempRLC (UnitP)"
legend_rates[7] = "d/dt Qo in component TempRLC (UnitQ)"
legend_rates[6] = "d/dt Pi in component TempRLC (UnitP)"
legend_rates[8] = "d/dt Qo in component TempRLC (UnitQ)"
legend_rates[9] = "d/dt Pi in component TempRC (UnitP)"
legend_rates[1] = "d/dt Pi in component TempRLC (UnitP)"
legend_rates[11] = "d/dt Qo in component TempRLC (UnitQ)"
legend_rates[10] = "d/dt Pi in component TempRLC (UnitP)"
legend_rates[12] = "d/dt Qo in component TempRLC (UnitQ)"
legend_rates[13] = "d/dt Pi in component TempRC (UnitP)"
return (legend_states, legend_algebraic, legend_voi, legend_constants)
def initConsts():
constants = [0.0] * sizeConstants; states = [0.0] * sizeStates;
constants[0] = 350.
constants[1] = 1.0
constants[2] = 5.0
constants[3] = 500
constants[4] = 400.
constants[5] = 1.0
constants[6] = 4.0
constants[7] = 20
constants[8] = 2.5
constants[9] = 0.1
constants[10] = 1.0
constants[11] = 0.3
constants[12] = 0.45
constants[13] = 0.25
constants[14] = 0.15
constants[15] = 0.92
constants[16] = 0.09
constants[17] = 0.25
constants[18] = 0.15
constants[19] = 1.0
constants[20] = 4.0
constants[21] = 1.15
constants[22] = 0.1
constants[23] = 1.0
constants[24] = 10.0
constants[25] = 350.
constants[26] = 400.
constants[27] = 20
constants[28] = 500
constants[29] = 350.
constants[30] = 1.0
constants[31] = 10.0
constants[32] = 500
constants[33] = 400.
constants[34] = 1.0
constants[35] = 4.0
constants[36] = 20
constants[37] = 1.15
constants[38] = 0.1
constants[39] = 1.0
constants[40] = 0.3
constants[41] = 0.45
constants[42] = 0.25
constants[43] = 0.15
constants[44] = 0.92
constants[45] = 0.09
constants[46] = 0.25
constants[47] = 0.15
constants[48] = 1.0
constants[49] = 4.0
constants[50] = 2.5
constants[51] = 0.1
constants[52] = 1.0
constants[53] = 5.0
constants[54] = 350.
constants[55] = 400.
constants[56] = 500
constants[57] = 20
constants[58] = 0.003
constants[59] = 0.08
constants[60] = 0.000062
constants[61] = 100.
constants[62] = 0.
constants[63] = 0.05
constants[64] = 1.6
constants[65] = 0.0017
constants[66] = 100.
constants[67] = 0.
constants[68] = 0.5
constants[69] = 0.52
constants[70] = 0.075
constants[71] = 20.5
constants[72] = 0.
constants[73] = 0.002
constants[74] = 0.18
constants[75] = 0.000052
constants[76] = 30.
constants[77] = 0.
constants[78] = 0.01
constants[79] = 3.8
constants[80] = 0.0017
constants[81] = 30.
constants[82] = 0.
constants[83] = 0.05
constants[84] = 0.25
constants[85] = 0.0006
constants[86] = 20.5
constants[87] = 0.
states[0] = constants[61]
states[1] = constants[76]
states[2] = constants[3]
states[3] = constants[7]
states[4] = constants[32]
states[5] = constants[36]
states[6] = constants[66]
states[7] = constants[62]
states[8] = constants[67]
states[9] = constants[72]
states[10] = constants[81]
states[11] = constants[77]
states[12] = constants[82]
states[13] = constants[87]
return (states, constants)
def computeRates(voi, states, constants):
rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
rates[7] = ((states[0]-states[6])-constants[58]*states[7])/constants[60]
rates[6] = (states[7]-states[8])/constants[64]
rates[11] = ((states[1]-states[10])-constants[73]*states[11])/constants[75]
rates[10] = (states[11]-states[12])/constants[79]
algebraic[0] = voi-constants[10]*floor(voi/constants[10])
algebraic[2] = custom_piecewise([greater_equal(algebraic[0] , 0.00000) & less_equal(algebraic[0] , constants[11]*constants[10]), 1.00000-cos((3.14159*algebraic[0])/(constants[11]*constants[10])) , greater(algebraic[0] , constants[11]*constants[10]) & less_equal(algebraic[0] , constants[12]*constants[10]), 1.00000+cos((3.14159*(algebraic[0]-constants[11]*constants[10]))/((constants[12]-constants[11])*constants[10])) , greater(algebraic[0] , constants[12]*constants[10]) & less(algebraic[0] , constants[10]), 0.00000 , True, float('nan')])
algebraic[4] = constants[9]+(algebraic[2]*(constants[8]-constants[9]))/2.00000
algebraic[6] = constants[1]+algebraic[4]*(states[2]-constants[2])
algebraic[8] = custom_piecewise([greater_equal(algebraic[6] , states[0]), 1.00000 , less(algebraic[6] , states[0]), 0.00000 , True, float('nan')])
algebraic[10] = custom_piecewise([greater_equal(algebraic[6] , states[0]), constants[0]*algebraic[8]*(power(fabs(algebraic[6]-states[0]), 0.500000)) , less(algebraic[6] , states[0]), -1.00000*constants[0]*algebraic[8]*(power(fabs(states[0]-algebraic[6]), 0.500000)) , True, float('nan')])
rates[0] = (algebraic[10]-states[7])/constants[59]
algebraic[1] = voi-constants[39]*floor(voi/constants[39])
algebraic[3] = custom_piecewise([greater_equal(algebraic[1] , 0.00000) & less_equal(algebraic[1] , constants[40]*constants[39]), 1.00000-cos((3.14159*algebraic[1])/(constants[40]*constants[39])) , greater(algebraic[1] , constants[40]*constants[39]) & less_equal(algebraic[1] , constants[41]*constants[39]), 1.00000+cos((3.14159*(algebraic[1]-constants[40]*constants[39]))/((constants[41]-constants[40])*constants[39])) , greater(algebraic[1] , constants[41]*constants[39]) & less(algebraic[1] , constants[39]), 0.00000 , True, float('nan')])
algebraic[5] = constants[38]+(algebraic[3]*(constants[37]-constants[38]))/2.00000
algebraic[7] = constants[30]+algebraic[5]*(states[4]-constants[31])
algebraic[9] = custom_piecewise([greater_equal(algebraic[7] , states[1]), 1.00000 , less(algebraic[7] , states[1]), 0.00000 , True, float('nan')])
algebraic[11] = custom_piecewise([greater_equal(algebraic[7] , states[1]), constants[29]*algebraic[9]*(power(fabs(algebraic[7]-states[1]), 0.500000)) , less(algebraic[7] , states[1]), -1.00000*constants[29]*algebraic[9]*(power(fabs(states[1]-algebraic[7]), 0.500000)) , True, float('nan')])
rates[1] = (algebraic[11]-states[11])/constants[74]
algebraic[12] = voi-constants[10]*floor(voi/constants[10])
algebraic[14] = custom_piecewise([greater_equal(algebraic[12] , 0.00000) & less_equal(algebraic[12] , (constants[15]+constants[16])*constants[10]-constants[10]), 1.00000-cos((2.00000*3.14159*((algebraic[12]-constants[15]*constants[10])+constants[10]))/(constants[16]*constants[10])) , greater(algebraic[12] , (constants[15]+constants[16])*constants[10]-constants[10]) & less_equal(algebraic[12] , constants[15]*constants[10]), 0.00000 , greater(algebraic[12] , constants[15]*constants[10]) & less_equal(algebraic[12] , constants[10]), 1.00000-cos((2.00000*3.14159*(algebraic[12]-constants[15]*constants[10]))/(constants[16]*constants[10])) , True, float('nan')])
algebraic[16] = constants[14]+(algebraic[14]*(constants[13]-constants[14]))/2.00000
algebraic[18] = constants[5]+algebraic[16]*(states[3]-constants[6])
algebraic[20] = custom_piecewise([greater_equal(algebraic[18] , algebraic[6]), 1.00000 , less(algebraic[18] , algebraic[6]), 0.00000 , True, float('nan')])
algebraic[22] = custom_piecewise([greater_equal(algebraic[18] , algebraic[6]), constants[4]*algebraic[20]*(power(fabs(algebraic[18]-algebraic[6]), 0.500000)) , less(algebraic[18] , algebraic[6]), -1.00000*constants[4]*algebraic[20]*(power(fabs(algebraic[6]-algebraic[18]), 0.500000)) , True, float('nan')])
rates[2] = algebraic[22]-algebraic[10]
algebraic[13] = voi-constants[39]*floor(voi/constants[39])
algebraic[15] = custom_piecewise([greater_equal(algebraic[13] , 0.00000) & less_equal(algebraic[13] , (constants[44]+constants[45])*constants[39]-constants[39]), 1.00000-cos((2.00000*3.14159*((algebraic[13]-constants[44]*constants[39])+constants[39]))/(constants[45]*constants[39])) , greater(algebraic[13] , (constants[44]+constants[45])*constants[39]-constants[39]) & less_equal(algebraic[13] , constants[44]*constants[39]), 0.00000 , greater(algebraic[13] , constants[44]*constants[39]) & less_equal(algebraic[13] , constants[39]), 1.00000-cos((2.00000*3.14159*(algebraic[13]-constants[44]*constants[39]))/(constants[45]*constants[39])) , True, float('nan')])
algebraic[17] = constants[43]+(algebraic[15]*(constants[42]-constants[43]))/2.00000
algebraic[19] = constants[34]+algebraic[17]*(states[5]-constants[35])
algebraic[21] = custom_piecewise([greater_equal(algebraic[19] , algebraic[7]), 1.00000 , less(algebraic[19] , algebraic[7]), 0.00000 , True, float('nan')])
algebraic[23] = custom_piecewise([greater_equal(algebraic[19] , algebraic[7]), constants[33]*algebraic[21]*(power(fabs(algebraic[19]-algebraic[7]), 0.500000)) , less(algebraic[19] , algebraic[7]), -1.00000*constants[33]*algebraic[21]*(power(fabs(algebraic[7]-algebraic[19]), 0.500000)) , True, float('nan')])
rates[4] = algebraic[23]-algebraic[11]
algebraic[30] = (states[13]-algebraic[18])/constants[85]
rates[3] = algebraic[30]-algebraic[22]
algebraic[31] = (states[9]-algebraic[19])/constants[70]
rates[5] = algebraic[31]-algebraic[23]
algebraic[25] = states[8]
algebraic[28] = states[9]+constants[69]*algebraic[25]
algebraic[32] = algebraic[28]+constants[68]*states[8]
rates[8] = ((states[6]-algebraic[32])-constants[63]*states[8])/constants[65]
algebraic[27] = algebraic[25]
rates[9] = (algebraic[27]-algebraic[31])/constants[71]
algebraic[24] = states[12]
algebraic[29] = states[13]+constants[84]*algebraic[24]
algebraic[33] = algebraic[29]+constants[83]*states[12]
rates[12] = ((states[10]-algebraic[33])-constants[78]*states[12])/constants[80]
algebraic[26] = algebraic[24]
rates[13] = (algebraic[26]-algebraic[30])/constants[86]
return(rates)
def computeAlgebraic(constants, states, voi):
algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
states = array(states)
voi = array(voi)
algebraic[0] = voi-constants[10]*floor(voi/constants[10])
algebraic[2] = custom_piecewise([greater_equal(algebraic[0] , 0.00000) & less_equal(algebraic[0] , constants[11]*constants[10]), 1.00000-cos((3.14159*algebraic[0])/(constants[11]*constants[10])) , greater(algebraic[0] , constants[11]*constants[10]) & less_equal(algebraic[0] , constants[12]*constants[10]), 1.00000+cos((3.14159*(algebraic[0]-constants[11]*constants[10]))/((constants[12]-constants[11])*constants[10])) , greater(algebraic[0] , constants[12]*constants[10]) & less(algebraic[0] , constants[10]), 0.00000 , True, float('nan')])
algebraic[4] = constants[9]+(algebraic[2]*(constants[8]-constants[9]))/2.00000
algebraic[6] = constants[1]+algebraic[4]*(states[2]-constants[2])
algebraic[8] = custom_piecewise([greater_equal(algebraic[6] , states[0]), 1.00000 , less(algebraic[6] , states[0]), 0.00000 , True, float('nan')])
algebraic[10] = custom_piecewise([greater_equal(algebraic[6] , states[0]), constants[0]*algebraic[8]*(power(fabs(algebraic[6]-states[0]), 0.500000)) , less(algebraic[6] , states[0]), -1.00000*constants[0]*algebraic[8]*(power(fabs(states[0]-algebraic[6]), 0.500000)) , True, float('nan')])
algebraic[1] = voi-constants[39]*floor(voi/constants[39])
algebraic[3] = custom_piecewise([greater_equal(algebraic[1] , 0.00000) & less_equal(algebraic[1] , constants[40]*constants[39]), 1.00000-cos((3.14159*algebraic[1])/(constants[40]*constants[39])) , greater(algebraic[1] , constants[40]*constants[39]) & less_equal(algebraic[1] , constants[41]*constants[39]), 1.00000+cos((3.14159*(algebraic[1]-constants[40]*constants[39]))/((constants[41]-constants[40])*constants[39])) , greater(algebraic[1] , constants[41]*constants[39]) & less(algebraic[1] , constants[39]), 0.00000 , True, float('nan')])
algebraic[5] = constants[38]+(algebraic[3]*(constants[37]-constants[38]))/2.00000
algebraic[7] = constants[30]+algebraic[5]*(states[4]-constants[31])
algebraic[9] = custom_piecewise([greater_equal(algebraic[7] , states[1]), 1.00000 , less(algebraic[7] , states[1]), 0.00000 , True, float('nan')])
algebraic[11] = custom_piecewise([greater_equal(algebraic[7] , states[1]), constants[29]*algebraic[9]*(power(fabs(algebraic[7]-states[1]), 0.500000)) , less(algebraic[7] , states[1]), -1.00000*constants[29]*algebraic[9]*(power(fabs(states[1]-algebraic[7]), 0.500000)) , True, float('nan')])
algebraic[12] = voi-constants[10]*floor(voi/constants[10])
algebraic[14] = custom_piecewise([greater_equal(algebraic[12] , 0.00000) & less_equal(algebraic[12] , (constants[15]+constants[16])*constants[10]-constants[10]), 1.00000-cos((2.00000*3.14159*((algebraic[12]-constants[15]*constants[10])+constants[10]))/(constants[16]*constants[10])) , greater(algebraic[12] , (constants[15]+constants[16])*constants[10]-constants[10]) & less_equal(algebraic[12] , constants[15]*constants[10]), 0.00000 , greater(algebraic[12] , constants[15]*constants[10]) & less_equal(algebraic[12] , constants[10]), 1.00000-cos((2.00000*3.14159*(algebraic[12]-constants[15]*constants[10]))/(constants[16]*constants[10])) , True, float('nan')])
algebraic[16] = constants[14]+(algebraic[14]*(constants[13]-constants[14]))/2.00000
algebraic[18] = constants[5]+algebraic[16]*(states[3]-constants[6])
algebraic[20] = custom_piecewise([greater_equal(algebraic[18] , algebraic[6]), 1.00000 , less(algebraic[18] , algebraic[6]), 0.00000 , True, float('nan')])
algebraic[22] = custom_piecewise([greater_equal(algebraic[18] , algebraic[6]), constants[4]*algebraic[20]*(power(fabs(algebraic[18]-algebraic[6]), 0.500000)) , less(algebraic[18] , algebraic[6]), -1.00000*constants[4]*algebraic[20]*(power(fabs(algebraic[6]-algebraic[18]), 0.500000)) , True, float('nan')])
algebraic[13] = voi-constants[39]*floor(voi/constants[39])
algebraic[15] = custom_piecewise([greater_equal(algebraic[13] , 0.00000) & less_equal(algebraic[13] , (constants[44]+constants[45])*constants[39]-constants[39]), 1.00000-cos((2.00000*3.14159*((algebraic[13]-constants[44]*constants[39])+constants[39]))/(constants[45]*constants[39])) , greater(algebraic[13] , (constants[44]+constants[45])*constants[39]-constants[39]) & less_equal(algebraic[13] , constants[44]*constants[39]), 0.00000 , greater(algebraic[13] , constants[44]*constants[39]) & less_equal(algebraic[13] , constants[39]), 1.00000-cos((2.00000*3.14159*(algebraic[13]-constants[44]*constants[39]))/(constants[45]*constants[39])) , True, float('nan')])
algebraic[17] = constants[43]+(algebraic[15]*(constants[42]-constants[43]))/2.00000
algebraic[19] = constants[34]+algebraic[17]*(states[5]-constants[35])
algebraic[21] = custom_piecewise([greater_equal(algebraic[19] , algebraic[7]), 1.00000 , less(algebraic[19] , algebraic[7]), 0.00000 , True, float('nan')])
algebraic[23] = custom_piecewise([greater_equal(algebraic[19] , algebraic[7]), constants[33]*algebraic[21]*(power(fabs(algebraic[19]-algebraic[7]), 0.500000)) , less(algebraic[19] , algebraic[7]), -1.00000*constants[33]*algebraic[21]*(power(fabs(algebraic[7]-algebraic[19]), 0.500000)) , True, float('nan')])
algebraic[30] = (states[13]-algebraic[18])/constants[85]
algebraic[31] = (states[9]-algebraic[19])/constants[70]
algebraic[25] = states[8]
algebraic[28] = states[9]+constants[69]*algebraic[25]
algebraic[32] = algebraic[28]+constants[68]*states[8]
algebraic[27] = algebraic[25]
algebraic[24] = states[12]
algebraic[29] = states[13]+constants[84]*algebraic[24]
algebraic[33] = algebraic[29]+constants[83]*states[12]
algebraic[26] = algebraic[24]
return algebraic
def custom_piecewise(cases):
"""Compute result of a piecewise function"""
return select(cases[0::2],cases[1::2])
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)