/* There are a total of 9 entries in the algebraic variable array. There are a total of 1 entries in each of the rate and state variable arrays. There are a total of 29 entries in the constant variable array. */ /* * VOI is time in component environment (second). * ALGEBRAIC[8] is F_CE in component F_CE (newton). * ALGEBRAIC[0] is f_L_CE in component f_L_CE (newton). * ALGEBRAIC[5] is g_V_CE in component g_V_CE (dimensionless). * CONSTANTS[0] is a in component user_defined_constants (dimensionless). * CONSTANTS[1] is F_min in component f_L_CE (newton). * CONSTANTS[2] is F_max in component user_defined_constants (newton). * STATES[0] is L_CE in component L_CE (metre). * CONSTANTS[3] is L_CE_opt in component user_defined_constants (metre). * CONSTANTS[4] is W in component f_L_CE (dimensionless). * CONSTANTS[28] is lambda_a in component lambda_a (second_per_metre). * CONSTANTS[5] is V_max in component g_V_CE (metre_per_second). * ALGEBRAIC[6] is V_CE in component V_CE (dimensionless). * CONSTANTS[6] is A in component g_V_CE (dimensionless). * CONSTANTS[7] is g_max in component g_V_CE (dimensionless). * CONSTANTS[24] is d1 in component d1 (dimensionless). * CONSTANTS[26] is d2 in component d2 (dimensionless). * CONSTANTS[27] is d3 in component d3 (dimensionless). * CONSTANTS[8] is gamma in component g_V_CE (dimensionless). * CONSTANTS[9] is V_max in component d1 (metre_per_second). * CONSTANTS[10] is A in component d1 (dimensionless). * CONSTANTS[11] is g_max in component d1 (dimensionless). * CONSTANTS[12] is S in component d1 (metre_per_second). * CONSTANTS[13] is S in component d2 (metre_per_second). * CONSTANTS[14] is A in component d2 (dimensionless). * CONSTANTS[15] is V_max in component d2 (metre_per_second). * CONSTANTS[16] is gamma in component d2 (dimensionless). * CONSTANTS[17] is g_max in component d3 (dimensionless). * CONSTANTS[18] is gamma in component d3 (dimensionless). * ALGEBRAIC[4] is F_SEE in component F_SEE (newton). * CONSTANTS[19] is k_SEE in component F_SEE (newton_per_metre2). * ALGEBRAIC[3] is L_SEE in component L_SEE (metre). * CONSTANTS[20] is L_slack in component F_SEE (metre). * ALGEBRAIC[1] is F_PEE in component F_PEE (newton). * CONSTANTS[25] is k_PEE in component k_PEE (newton_per_metre2). * CONSTANTS[21] is L_slack in component F_PEE (metre). * CONSTANTS[22] is W in component k_PEE (dimensionless). * CONSTANTS[23] is L_CE_opt in component k_PEE (metre). * ALGEBRAIC[2] is L_m in component L_m (metre). * ALGEBRAIC[7] is F_m in component F_m (newton). * RATES[0] is d/dt L_CE in component L_CE (metre). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 0.8; CONSTANTS[1] = 10; CONSTANTS[2] = 7000; STATES[0] = 0.038; CONSTANTS[3] = 0.093; CONSTANTS[4] = 0.63; CONSTANTS[5] = 0.93; CONSTANTS[6] = 0.25; CONSTANTS[7] = 1.5; CONSTANTS[8] = 5.67; CONSTANTS[9] = 0.93; CONSTANTS[10] = 0.25; CONSTANTS[11] = 1.5; CONSTANTS[12] = 2; CONSTANTS[13] = 2; CONSTANTS[14] = 0.25; CONSTANTS[15] = 0.93; CONSTANTS[16] = 5.67; CONSTANTS[17] = 1.5; CONSTANTS[18] = 5.67; CONSTANTS[19] = 1000000; CONSTANTS[20] = 0.0025; CONSTANTS[21] = 0.0025; CONSTANTS[22] = 0.63; CONSTANTS[23] = 0.01; CONSTANTS[24] = ( CONSTANTS[9]*CONSTANTS[10]*(CONSTANTS[11] - 1.00000))/( CONSTANTS[12]*(CONSTANTS[10]+1.00000)); CONSTANTS[25] = CONSTANTS[2]/pow( CONSTANTS[22]*CONSTANTS[23], 2.00000); CONSTANTS[26] = ( CONSTANTS[13]*(CONSTANTS[14]+1.00000))/( CONSTANTS[15]*CONSTANTS[14]*pow(CONSTANTS[16]+1.00000, 2.00000)); CONSTANTS[27] = ( (CONSTANTS[17] - 1.00000)*pow(CONSTANTS[18], 2.00000))/pow(CONSTANTS[18]+1.00000, 2.00000)+1.00000; CONSTANTS[28] = 1.00000*((1.00000 - exp( - 3.82000*CONSTANTS[0]))+ CONSTANTS[0]*exp(- 3.82000)); } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[0] = ( CONSTANTS[2]*( 1.00000*(1.00000 - STATES[0]) - pow(CONSTANTS[3], 2.00000)))/( pow(CONSTANTS[4], 2.00000)*pow(CONSTANTS[3], 2.00000)); ALGEBRAIC[2] = (VOI<=1.00000 ? 0.0380000 : VOI>1.00000&&VOI<2.00000 ? 0.0380000+ 0.00200000*(VOI - 1.00000) : 0.0400000); ALGEBRAIC[3] = ALGEBRAIC[2] - STATES[0]; ALGEBRAIC[4] = (ALGEBRAIC[3]<=CONSTANTS[20] ? 0.00000 : CONSTANTS[19]*pow(ALGEBRAIC[3] - CONSTANTS[20], 2.00000)); ALGEBRAIC[1] = (STATES[0]<=CONSTANTS[21] ? 0.00000 : CONSTANTS[25]*pow(STATES[0] - CONSTANTS[21], 2.00000)); rootfind_0(VOI, CONSTANTS, RATES, STATES, ALGEBRAIC, pret); RATES[0] = 1.00000*ALGEBRAIC[6]; } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[0] = ( CONSTANTS[2]*( 1.00000*(1.00000 - STATES[0]) - pow(CONSTANTS[3], 2.00000)))/( pow(CONSTANTS[4], 2.00000)*pow(CONSTANTS[3], 2.00000)); ALGEBRAIC[2] = (VOI<=1.00000 ? 0.0380000 : VOI>1.00000&&VOI<2.00000 ? 0.0380000+ 0.00200000*(VOI - 1.00000) : 0.0400000); ALGEBRAIC[3] = ALGEBRAIC[2] - STATES[0]; ALGEBRAIC[4] = (ALGEBRAIC[3]<=CONSTANTS[20] ? 0.00000 : CONSTANTS[19]*pow(ALGEBRAIC[3] - CONSTANTS[20], 2.00000)); ALGEBRAIC[1] = (STATES[0]<=CONSTANTS[21] ? 0.00000 : CONSTANTS[25]*pow(STATES[0] - CONSTANTS[21], 2.00000)); ALGEBRAIC[7] = ALGEBRAIC[4]; ALGEBRAIC[8] = ALGEBRAIC[0]*ALGEBRAIC[5]*CONSTANTS[0]; } void objfunc_0(double *p, double *hx, int m, int n, void *adata) { struct rootfind_info* rfi = (struct rootfind_info*)adata; #define VOI rfi->aVOI #define CONSTANTS rfi->aCONSTANTS #define RATES rfi->aRATES #define STATES rfi->aSTATES #define ALGEBRAIC rfi->aALGEBRAIC #define pret rfi->aPRET ALGEBRAIC[5] = p[0]; ALGEBRAIC[6] = p[1]; hx[0] = ALGEBRAIC[5] - (ALGEBRAIC[6]<=0.00000 ? ( CONSTANTS[28]*CONSTANTS[5]+ALGEBRAIC[6])/( CONSTANTS[28]*CONSTANTS[5] - ALGEBRAIC[6]/CONSTANTS[6]) : 0.00000 CONSTANTS[8]*CONSTANTS[24] ? CONSTANTS[27]+ CONSTANTS[26]*ALGEBRAIC[6] : 0.0/0.0); hx[1] = ALGEBRAIC[6] - 1.00000*(( (1.00000/ALGEBRAIC[5])*( ALGEBRAIC[4]*(ALGEBRAIC[2] - STATES[0]) - ALGEBRAIC[1]*STATES[0]))/( CONSTANTS[0]*ALGEBRAIC[0])); #undef VOI #undef CONSTANTS #undef RATES #undef STATES #undef ALGEBRAIC #undef pret } void rootfind_0(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC, int* pret) { static double p[2] = {0.1,0.1}; double bp[2], work[LM_DIF_WORKSZ(2, 2)]; struct rootfind_info rfi; rfi.aVOI = VOI; rfi.aCONSTANTS = CONSTANTS; rfi.aRATES = RATES; rfi.aSTATES = STATES; rfi.aALGEBRAIC = ALGEBRAIC; rfi.aPRET = pret; do_levmar(objfunc_0, p, bp, work, pret, 2, &rfi); ALGEBRAIC[5] = p[0]; ALGEBRAIC[6] = p[1]; }