[2696] | 1 | SUBROUTINE INTEGRATE( NSENSIT, Y, TIN, TOUT ) |
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| 2 | |
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| 3 | INCLUDE 'KPP_ROOT_params.h' |
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| 4 | INCLUDE 'KPP_ROOT_global.h' |
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| 5 | |
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| 6 | C TIN - Start Time |
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| 7 | KPP_REAL TIN |
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| 8 | C TOUT - End Time |
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| 9 | KPP_REAL TOUT |
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| 10 | C Y - Concentrations and Sensitivities |
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| 11 | KPP_REAL Y(NVAR*(NSENSIT+1)) |
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| 12 | C --- Note: Y contains: (1:NVAR) concentrations, followed by |
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| 13 | C --- (1:NVAR) sensitivities w.r.t. first parameter, followed by |
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| 14 | C --- etc., followed by |
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| 15 | C --- (1:NVAR) sensitivities w.r.t. NSENSIT's parameter |
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| 16 | |
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| 17 | INTEGER INFO(5) |
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| 18 | |
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| 19 | EXTERNAL FUNC_CHEM, JAC_CHEM |
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| 20 | |
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| 21 | INFO(1) = Autonomous |
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| 22 | |
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| 23 | CALL RODAS3_DDM(NVAR,NSENSIT,TIN,TOUT,STEPMIN,STEPMAX, |
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| 24 | + STEPMIN,Y,ATOL,RTOL, |
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| 25 | + Info,FUNC_CHEM,JAC_CHEM) |
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| 26 | |
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| 27 | |
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| 28 | RETURN |
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| 29 | END |
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| 30 | |
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| 31 | |
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| 32 | |
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| 33 | |
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| 34 | SUBROUTINE RODAS3_DDM(N,NSENSIT,T,Tnext,Hmin,Hmax,Hstart, |
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| 35 | + y,AbsTol,RelTol, |
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| 36 | + Info,FUNC_CHEM,JAC_CHEM) |
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| 37 | |
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| 38 | IMPLICIT NONE |
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| 39 | INCLUDE 'KPP_ROOT_params.h' |
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| 40 | INCLUDE 'KPP_ROOT_global.h' |
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| 41 | INCLUDE 'KPP_ROOT_sparse.h' |
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| 42 | C |
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| 43 | C Stiffly accurate Rosenbrock 3(2), with |
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| 44 | C stiffly accurate embedded formula for error control. |
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| 45 | C |
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| 46 | C Direct decoupled computation of sensitivities. |
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| 47 | C The global variable DDMTYPE distinguishes between: |
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| 48 | C DDMTYPE = 0 : sensitivities w.r.t. initial values |
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| 49 | C DDMTYPE = 1 : sensitivities w.r.t. parameters |
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| 50 | C |
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| 51 | C INPUT ARGUMENTS: |
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| 52 | C y = Vector of: (1:NVAR) concentrations, followed by |
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| 53 | C (1:NVAR) sensitivities w.r.t. first parameter, followed by |
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| 54 | C etc., followed by |
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| 55 | C (1:NVAR) sensitivities w.r.t. NSENSIT's parameter |
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| 56 | C (y contains initial values at input, final values at output) |
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| 57 | C [T, Tnext] = the integration interval |
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| 58 | C Hmin, Hmax = lower and upper bounds for the selected step-size. |
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| 59 | C Note that for Step = Hmin the current computed |
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| 60 | C solution is unconditionally accepted by the error |
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| 61 | C control mechanism. |
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| 62 | C AbsTol, RelTol = (NVAR) dimensional vectors of |
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| 63 | C componentwise absolute and relative tolerances. |
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| 64 | C FUNC_CHEM = name of routine of derivatives. KPP syntax. |
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| 65 | C See the header below. |
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| 66 | C JAC_CHEM = name of routine that computes the Jacobian, in |
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| 67 | C sparse format. KPP syntax. See the header below. |
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| 68 | C Info(1) = 1 for Autonomous system |
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| 69 | C = 0 for nonAutonomous system |
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| 70 | C |
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| 71 | C OUTPUT ARGUMENTS: |
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| 72 | C y = the values of concentrations and sensitivities at Tend. |
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| 73 | C T = equals TENDon output. |
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| 74 | C Info(2) = # of FUNC_CHEM CALLs. |
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| 75 | C Info(3) = # of JAC_CHEM CALLs. |
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| 76 | C Info(4) = # of accepted steps. |
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| 77 | C Info(5) = # of rejected steps. |
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| 78 | C |
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| 79 | C Adrian Sandu, December 2001 |
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| 80 | C |
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| 81 | |
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| 82 | INTEGER NSENSIT |
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| 83 | KPP_REAL y(NVAR*(NSENSIT+1)), ynew(NVAR*(NSENSIT+1)) |
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| 84 | KPP_REAL K1(NVAR*(NSENSIT+1)) |
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| 85 | KPP_REAL K2(NVAR*(NSENSIT+1)) |
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| 86 | KPP_REAL K3(NVAR*(NSENSIT+1)) |
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| 87 | KPP_REAL K4(NVAR*(NSENSIT+1)) |
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| 88 | KPP_REAL Fv(NVAR), Hv(NVAR) |
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| 89 | KPP_REAL DFDT(NVAR*(NSENSIT+1)) |
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| 90 | KPP_REAL DJDP(NVAR*NSENSIT) |
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| 91 | KPP_REAL DFDP(NVAR*NSENSIT), DFDPDT(NVAR*NSENSIT) |
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| 92 | KPP_REAL JAC(LU_NONZERO), AJAC(LU_NONZERO) |
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| 93 | KPP_REAL DJDT(LU_NONZERO) |
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| 94 | KPP_REAL HESS(NHESS) |
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| 95 | KPP_REAL Hmin,Hmax,Hstart,ghinv,uround |
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| 96 | KPP_REAL AbsTol(NVAR), RelTol(NVAR) |
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| 97 | KPP_REAL T, Tnext, Tplus, H, Hnew, elo |
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| 98 | KPP_REAL ERR, factor, facmax |
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| 99 | KPP_REAL w, e, beta1, beta2, beta3, beta4 |
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| 100 | KPP_REAL tau, x1, x2, ytol, dround |
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| 101 | |
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| 102 | INTEGER n,nfcn,njac,Naccept,Nreject,i,j,ier |
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| 103 | INTEGER Info(5) |
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| 104 | LOGICAL IsReject, Autonomous |
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| 105 | EXTERNAL FUNC_CHEM, JAC_CHEM, HESS_CHEM |
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| 106 | |
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| 107 | C The method coefficients |
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| 108 | DOUBLE PRECISION gamma, gamma2, gamma3, gamma4 |
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| 109 | PARAMETER ( gamma = 0.5D+00 ) |
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| 110 | PARAMETER ( gamma2 = 1.5D+00 ) |
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| 111 | PARAMETER ( gamma3 = 0.0D+00 ) |
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| 112 | PARAMETER ( gamma4 = 0.0D+00 ) |
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| 113 | DOUBLE PRECISION a21, a31, a32, a41, a42, a43 |
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| 114 | PARAMETER ( a21 = 0.0D+00 ) |
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| 115 | PARAMETER ( a31 = 2.0D+00 ) |
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| 116 | PARAMETER ( a32 = 0.0D+00 ) |
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| 117 | PARAMETER ( a41 = 2.0D+00 ) |
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| 118 | PARAMETER ( a42 = 0.0D+00 ) |
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| 119 | PARAMETER ( a43 = 1.0D+00 ) |
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| 120 | DOUBLE PRECISION alpha2, alpha3, alpha4 |
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| 121 | PARAMETER ( alpha2 = 0.0D0 ) |
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| 122 | PARAMETER ( alpha3 = 1.0D0 ) |
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| 123 | PARAMETER ( alpha4 = 1.0D0 ) |
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| 124 | DOUBLE PRECISION c21, c31, c32, c41, c42, c43 |
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| 125 | PARAMETER ( c21 = 4.0D0 ) |
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| 126 | PARAMETER ( c31 = 1.0D0 ) |
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| 127 | PARAMETER ( c32 = -1.0D0 ) |
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| 128 | PARAMETER ( c41 = 1.0D0 ) |
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| 129 | PARAMETER ( c42 = -1.0D0 ) |
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| 130 | PARAMETER ( c43 = -2.666666666666667D0 ) |
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| 131 | DOUBLE PRECISION b1, b2, b3, b4 |
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| 132 | PARAMETER ( b1 = 2.0D+00 ) |
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| 133 | PARAMETER ( b2 = 0.0D0 ) |
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| 134 | PARAMETER ( b3 = 1.0D0 ) |
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| 135 | PARAMETER ( b4 = 1.0D0 ) |
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| 136 | DOUBLE PRECISION d1, d2, d3, d4 |
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| 137 | PARAMETER ( d1 = 0.0D0 ) |
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| 138 | PARAMETER ( d2 = 0.0D0 ) |
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| 139 | PARAMETER ( d3 = 0.0D0 ) |
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| 140 | PARAMETER ( d4 = 1.0D0 ) |
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| 141 | |
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| 142 | |
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| 143 | c Initialization of counters, etc. |
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| 144 | Autonomous = Info(1) .EQ. 1 |
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| 145 | uround = 1.d-15 |
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| 146 | dround = DSQRT(uround) |
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| 147 | IF (Hmax.le.0.D0) THEN |
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| 148 | Hmax = DABS(Tnext-T) |
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| 149 | END IF |
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| 150 | H = DMAX1(1.d-8, Hstart) |
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| 151 | Tplus = T |
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| 152 | IsReject = .false. |
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| 153 | Naccept = 0 |
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| 154 | Nreject = 0 |
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| 155 | Nfcn = 0 |
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| 156 | Njac = 0 |
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| 157 | |
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| 158 | C === Starting the time loop === |
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| 159 | 10 CONTINUE |
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| 160 | |
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| 161 | Tplus = T + H |
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| 162 | IF ( Tplus .gt. Tnext ) THEN |
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| 163 | H = Tnext - T |
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| 164 | Tplus = Tnext |
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| 165 | END IF |
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| 166 | |
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| 167 | C Initial Function, Jacobian, and Hessian Values |
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| 168 | CALL FUNC_CHEM(NVAR, T, y, Fv) |
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| 169 | CALL JAC_CHEM(NVAR, T, y, JAC) |
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| 170 | CALL HESS_CHEM( NVAR, T, y, HESS ) |
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| 171 | IF (DDMTYPE .EQ. 1) THEN |
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| 172 | CALL DFUNDPAR(NVAR, NSENSIT, T, y, DFDP) |
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| 173 | END IF |
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| 174 | |
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| 175 | C The time derivatives for non-Autonomous case |
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| 176 | IF (.not. Autonomous) THEN |
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| 177 | tau = DSIGN(dround*DMAX1( 1.0d0, DABS(T) ), T) |
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| 178 | CALL FUNC_CHEM(NVAR, T+tau, y, K2) |
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| 179 | CALL JAC_CHEM(NVAR, T+tau, y, AJAC) |
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| 180 | nfcn=nfcn+1 |
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| 181 | DO 20 j = 1,NVAR |
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| 182 | DFDT(j) = ( K2(j)-Fv(j) )/tau |
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| 183 | 20 CONTINUE |
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| 184 | DO 30 j = 1,LU_NONZERO |
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| 185 | DJDT(j) = ( AJAC(j)-JAC(j) )/tau |
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| 186 | 30 CONTINUE |
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| 187 | DO 35 i=1,NSENSIT |
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| 188 | CALL Jac_SP_Vec (DJDT,y(i*NVAR+1),DFDT(i*NVAR+1)) |
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| 189 | 35 CONTINUE |
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| 190 | END IF |
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| 191 | |
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| 192 | 11 CONTINUE ! From here we restart after a rejected step |
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| 193 | |
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| 194 | C Form the Prediction matrix and compute its LU factorization |
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| 195 | Njac = Njac+1 |
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| 196 | ghinv = 1.0d0/(gamma*H) |
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| 197 | DO 40 j=1,LU_NONZERO |
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| 198 | AJAC(j) = -JAC(j) |
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| 199 | 40 CONTINUE |
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| 200 | DO 50 j=1,NVAR |
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| 201 | AJAC(LU_DIAG(j)) = AJAC(LU_DIAG(j)) + ghinv |
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| 202 | 50 CONTINUE |
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| 203 | CALL KppDecomp (AJAC, ier) |
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| 204 | C |
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| 205 | IF (ier.ne.0) THEN |
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| 206 | IF ( H.gt.Hmin) THEN |
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| 207 | H = 5.0d-1*H |
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| 208 | GO TO 10 |
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| 209 | ELSE |
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| 210 | PRINT *,'ROS4: Singular factorization at T=',T,'; H=',H |
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| 211 | STOP |
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| 212 | END IF |
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| 213 | END IF |
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| 214 | |
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| 215 | C ------------ STAGE 1------------------------- |
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| 216 | DO 60 j = 1,NVAR |
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| 217 | K1(j) = Fv(j) |
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| 218 | 60 CONTINUE |
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| 219 | IF (.NOT. Autonomous) THEN |
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| 220 | beta1 = H*gamma |
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| 221 | DO 70 j=1,NVAR |
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| 222 | K1(j) = K1(j) + beta1*DFDT(j) |
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| 223 | 70 CONTINUE |
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| 224 | END IF |
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| 225 | CALL KppSolve (AJAC, K1) |
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| 226 | C --- If derivative w.r.t. parameters |
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| 227 | IF (DDMTYPE .EQ. 1) THEN |
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| 228 | CALL DJACDPAR(NVAR, NSENSIT, T, y, K1(1), DJDP) |
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| 229 | END IF |
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| 230 | C --- End of derivative w.r.t. parameters |
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| 231 | |
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| 232 | DO 100 i=1,NSENSIT |
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| 233 | CALL Jac_SP_Vec (JAC,y(i*NVAR+1),K1(i*NVAR+1)) |
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| 234 | CALL Hess_Vec ( HESS, y(i*NVAR+1), K1(1), Hv ) |
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| 235 | DO 80 j=1,NVAR |
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| 236 | K1(i*NVAR+j) = K1(i*NVAR+j) + Hv(j) |
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| 237 | 80 CONTINUE |
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| 238 | IF (.NOT. Autonomous) THEN |
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| 239 | DO 90 j=1,NVAR |
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| 240 | K1(i*NVAR+j) = K1(i*NVAR+j) + beta1*DFDT(i*NVAR+j) |
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| 241 | 90 CONTINUE |
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| 242 | END IF |
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| 243 | C --- If derivative w.r.t. parameters |
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| 244 | IF (DDMTYPE .EQ. 1) THEN |
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| 245 | DO 95 j = 1,NVAR |
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| 246 | K1(i*NVAR+j) = K1(i*NVAR+j) + DFDP((i-1)*NVAR+j) |
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| 247 | & + DJDP((i-1)*NVAR+j) |
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| 248 | 95 CONTINUE |
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| 249 | END IF |
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| 250 | C --- End of derivative w.r.t. parameters |
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| 251 | CALL KppSolve (AJAC, K1(i*NVAR+1)) |
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| 252 | 100 CONTINUE |
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| 253 | |
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| 254 | C ----------- STAGE 2 ------------------------- |
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| 255 | C Note: uses the same function values as Stage 1 |
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| 256 | C DO 110 j = 1,NVAR*(NSENSIT+1) |
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| 257 | C ynew(j) = y(j) + a21*K1(j) |
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| 258 | C 110 CONTINUE |
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| 259 | C CALL FUNC_CHEM(NVAR, T+alpha2*H, ynew, Fv) |
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| 260 | C IF (DDMTYPE .EQ. 1) THEN |
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| 261 | C CALL DFUNDPAR(NVAR, NSENSIT, T+alpha2*H, ynew, DFDP) |
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| 262 | C END IF |
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| 263 | C nfcn=nfcn+1 |
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| 264 | beta1 = c21/H |
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| 265 | DO 120 j = 1,NVAR |
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| 266 | K2(j) = Fv(j) + beta1*K1(j) |
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| 267 | 120 CONTINUE |
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| 268 | IF (.NOT. Autonomous) THEN |
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| 269 | beta2 = H*gamma2 |
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| 270 | DO 130 j=1,NVAR |
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| 271 | K2(j) = K2(j) + beta2*DFDT(j) |
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| 272 | 130 CONTINUE |
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| 273 | END IF |
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| 274 | CALL KppSolve (AJAC, K2) |
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| 275 | C --- If derivative w.r.t. parameters |
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| 276 | IF (DDMTYPE .EQ. 1) THEN |
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| 277 | CALL DJACDPAR(NVAR, NSENSIT, T, y, K2(1), DJDP) |
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| 278 | END IF |
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| 279 | C --- End of derivative w.r.t. parameters |
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| 280 | |
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| 281 | CALL JAC_CHEM(NVAR, T+alpha2*H, ynew, JAC) |
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| 282 | njac=njac+1 |
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| 283 | DO 160 i=1,NSENSIT |
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| 284 | CALL Jac_SP_Vec (JAC,ynew(i*NVAR+1),K2(i*NVAR+1)) |
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| 285 | CALL Hess_Vec ( HESS, y(i*NVAR+1), K2(1), Hv ) |
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| 286 | DO 140 j = 1,NVAR |
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| 287 | K2(i*NVAR+j) = K2(i*NVAR+j) + beta1*K1(i*NVAR+j) |
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| 288 | & + Hv(j) |
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| 289 | 140 CONTINUE |
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| 290 | IF (.NOT. Autonomous) THEN |
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| 291 | DO 150 j=1,NVAR |
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| 292 | K2(i*NVAR+j) = K2(i*NVAR+j) + beta2*DFDT(i*NVAR+j) |
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| 293 | 150 CONTINUE |
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| 294 | END IF |
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| 295 | C --- If derivative w.r.t. parameters |
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| 296 | IF (DDMTYPE .EQ. 1) THEN |
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| 297 | DO 155 j = 1,NVAR |
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| 298 | K2(i*NVAR+j) = K2(i*NVAR+j) + DFDP((i-1)*NVAR+j) |
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| 299 | & + DJDP((i-1)*NVAR+j) |
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| 300 | 155 CONTINUE |
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| 301 | END IF |
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| 302 | C --- End of derivative w.r.t. parameters |
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| 303 | CALL KppSolve (AJAC, K2(i*NVAR+1)) |
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| 304 | 160 CONTINUE |
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| 305 | |
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| 306 | |
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| 307 | C ------------ STAGE 3 ------------------------- |
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| 308 | DO 170 j = 1,NVAR*(NSENSIT+1) |
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| 309 | ynew(j) = y(j) + a31*K1(j) + a32*K2(j) |
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| 310 | 170 CONTINUE |
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| 311 | CALL FUNC_CHEM(NVAR, T+alpha3*H, ynew, Fv) |
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| 312 | IF (DDMTYPE .EQ. 1) THEN |
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| 313 | CALL DFUNDPAR(NVAR, NSENSIT, T+alpha3*H, ynew, DFDP) |
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| 314 | END IF |
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| 315 | nfcn=nfcn+1 |
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| 316 | beta1 = c31/H |
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| 317 | beta2 = c32/H |
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| 318 | DO 180 j = 1,NVAR |
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| 319 | K3(j) = Fv(j) + beta1*K1(j) + beta2*K2(j) |
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| 320 | 180 CONTINUE |
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| 321 | IF (.NOT. Autonomous) THEN |
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| 322 | beta3 = H*gamma3 |
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| 323 | DO 190 j=1,NVAR |
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| 324 | K3(j) = K3(j) + beta3*DFDT(j) |
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| 325 | 190 CONTINUE |
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| 326 | END IF |
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| 327 | CALL KppSolve (AJAC, K3) |
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| 328 | C --- If derivative w.r.t. parameters |
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| 329 | IF (DDMTYPE .EQ. 1) THEN |
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| 330 | CALL DJACDPAR(NVAR, NSENSIT, T, y, K3(1), DJDP) |
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| 331 | END IF |
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| 332 | C --- End of derivative w.r.t. parameters |
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| 333 | |
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| 334 | CALL JAC_CHEM(NVAR, T+alpha3*H, ynew, JAC) |
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| 335 | njac=njac+1 |
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| 336 | DO 220 i=1,NSENSIT |
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| 337 | CALL Jac_SP_Vec (JAC,ynew(i*NVAR+1),K3(i*NVAR+1)) |
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| 338 | CALL Hess_Vec ( HESS, y(i*NVAR+1), K3(1), Hv ) |
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| 339 | DO 200 j = 1,NVAR |
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| 340 | K3(i*NVAR+j) = K3(i*NVAR+j) + beta1*K1(i*NVAR+j) |
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| 341 | & + beta2*K2(i*NVAR+j) + Hv(j) |
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| 342 | 200 CONTINUE |
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| 343 | IF (.NOT. Autonomous) THEN |
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| 344 | DO 210 j=1,NVAR |
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| 345 | K3(i*NVAR+j) = K3(i*NVAR+j) + beta3*DFDT(i*NVAR+j) |
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| 346 | 210 CONTINUE |
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| 347 | END IF |
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| 348 | C --- If derivative w.r.t. parameters |
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| 349 | IF (DDMTYPE .EQ. 1) THEN |
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| 350 | DO 215 j = 1,NVAR |
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| 351 | K3(i*NVAR+j) = K3(i*NVAR+j) + DFDP((i-1)*NVAR+j) |
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| 352 | & + DJDP((i-1)*NVAR+j) |
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| 353 | 215 CONTINUE |
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| 354 | END IF |
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| 355 | C --- End of derivative w.r.t. parameters |
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| 356 | CALL KppSolve (AJAC, K3(i*NVAR+1)) |
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| 357 | 220 CONTINUE |
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| 358 | |
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| 359 | C ------------ STAGE 4 ------------------------- |
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| 360 | DO 225 j = 1,NVAR*(NSENSIT+1) |
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| 361 | ynew(j) = y(j) + a41*K1(j) + a42*K2(j) + a43*K3(j) |
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| 362 | 225 CONTINUE |
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| 363 | CALL FUNC_CHEM(NVAR, T+alpha4*H, ynew, Fv) |
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| 364 | IF (DDMTYPE .EQ. 1) THEN |
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| 365 | CALL DFUNDPAR(NVAR, NSENSIT, T+alpha4*H, ynew, DFDP) |
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| 366 | END IF |
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| 367 | nfcn=nfcn+1 |
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| 368 | beta1 = c41/H |
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| 369 | beta2 = c42/H |
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| 370 | beta3 = c43/H |
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| 371 | DO 230 j = 1,NVAR |
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| 372 | K4(j) = Fv(j) + beta1*K1(j) + beta2*K2(j) + beta3*K3(j) |
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| 373 | 230 CONTINUE |
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| 374 | IF (.NOT. Autonomous) THEN |
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| 375 | beta4 = H*gamma4 |
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| 376 | DO 240 j=1,NVAR |
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| 377 | K4(j) = K4(j) + beta4*DFDT(j) |
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| 378 | 240 CONTINUE |
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| 379 | END IF |
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| 380 | CALL KppSolve (AJAC, K4) |
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| 381 | C --- If derivative w.r.t. parameters |
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| 382 | IF (DDMTYPE .EQ. 1) THEN |
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| 383 | CALL DJACDPAR(NVAR, NSENSIT, T, y, K4(1), DJDP) |
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| 384 | END IF |
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| 385 | C --- End of derivative w.r.t. parameters |
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| 386 | |
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| 387 | njac=njac+1 |
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| 388 | DO 270 i=1,NSENSIT |
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| 389 | CALL Jac_SP_Vec (JAC,ynew(i*NVAR+1),K4(i*NVAR+1)) |
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| 390 | CALL Hess_Vec ( HESS, y(i*NVAR+1), K4(1), Hv ) |
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| 391 | DO 250 j = 1,NVAR |
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| 392 | K4(i*NVAR+j) = K4(i*NVAR+j) + beta1*K1(i*NVAR+j) |
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| 393 | & + beta2*K2(i*NVAR+j) + beta3*K3(i*NVAR+j) |
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| 394 | & + Hv(j) |
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| 395 | 250 CONTINUE |
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| 396 | IF (.NOT. Autonomous) THEN |
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| 397 | DO 260 j=1,NVAR |
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| 398 | K4(i*NVAR+j) = K4(i*NVAR+j) + beta4*DFDT(i*NVAR+j) |
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| 399 | 260 CONTINUE |
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| 400 | END IF |
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| 401 | C --- If derivative w.r.t. parameters |
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| 402 | IF (DDMTYPE .EQ. 1) THEN |
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| 403 | DO 265 j = 1,NVAR |
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| 404 | K4(i*NVAR+j) = K4(i*NVAR+j) + DFDP((i-1)*NVAR+j) |
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| 405 | & + DJDP((i-1)*NVAR+j) |
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| 406 | 265 CONTINUE |
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| 407 | END IF |
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| 408 | CALL KppSolve (AJAC, K4(i*NVAR+1)) |
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| 409 | 270 CONTINUE |
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| 410 | |
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| 411 | |
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| 412 | C ---- The Solution --- |
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| 413 | DO 280 j = 1,NVAR*(NSENSIT+1) |
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| 414 | C ynew(j) = y(j) + b1*K1(j) + b2*K2(j) + b3*K3(j) + b4*K4(j) |
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| 415 | ynew(j) = y(j) + 2*K1(j) + K3(j) + K4(j) |
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| 416 | 280 CONTINUE |
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| 417 | |
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| 418 | |
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| 419 | C ====== Error estimation -- can be extended to control sensitivities too ======== |
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| 420 | |
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| 421 | ERR = 0.d0 |
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| 422 | DO 290 i=1,NVAR |
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| 423 | w = AbsTol(i) + RelTol(i)*DMAX1(DABS(ynew(i)),DABS(y(i))) |
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| 424 | C e = d1*K1(i) + d2*K2(i) + d3*K3(i) + d4*K4(i) |
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| 425 | e = K4(i) |
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| 426 | ERR = ERR + ( e/w )**2 |
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| 427 | 290 CONTINUE |
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| 428 | ERR = DMAX1( uround, DSQRT( ERR/NVAR ) ) |
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| 429 | |
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| 430 | C ======= Choose the stepsize =============================== |
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| 431 | |
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| 432 | elo = 3.0D0 ! estimator local order |
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| 433 | factor = DMAX1(2.0D-1,DMIN1(6.0D0,ERR**(1.0D0/elo)/.9D0)) |
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| 434 | Hnew = DMIN1(Hmax,DMAX1(Hmin, H/factor)) |
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| 435 | |
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| 436 | C ======= Rejected/Accepted Step ============================ |
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| 437 | |
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| 438 | IF ( (ERR.gt.1).and.(H.gt.Hmin) ) THEN |
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| 439 | IsReject = .true. |
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| 440 | H = DMIN1(H/10,Hnew) |
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| 441 | Nreject = Nreject+1 |
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| 442 | ELSE |
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| 443 | DO 300 i=1,NVAR*(NSENSIT+1) |
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| 444 | y(i) = ynew(i) |
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| 445 | 300 CONTINUE |
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| 446 | T = Tplus |
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| 447 | IF (.NOT.IsReject) THEN |
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| 448 | H = Hnew ! Do not increase stepsize if previos step was rejected |
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| 449 | END IF |
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| 450 | IsReject = .false. |
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| 451 | Naccept = Naccept+1 |
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| 452 | END IF |
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| 453 | |
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| 454 | C ======= End of the time loop =============================== |
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| 455 | IF ( T .lt. Tnext ) GO TO 10 |
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| 456 | |
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| 457 | |
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| 458 | |
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| 459 | C ======= Output Information ================================= |
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| 460 | Info(2) = Nfcn |
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| 461 | Info(3) = Njac |
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| 462 | Info(4) = Naccept |
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| 463 | Info(5) = Nreject |
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| 464 | Hstart = H |
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| 465 | |
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| 466 | RETURN |
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| 467 | END |
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| 468 | |
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| 469 | |
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| 470 | |
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| 471 | SUBROUTINE FUNC_CHEM(N, T, Y, P) |
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| 472 | INCLUDE 'KPP_ROOT_params.h' |
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| 473 | INCLUDE 'KPP_ROOT_global.h' |
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| 474 | INTEGER N |
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| 475 | KPP_REAL T, Told |
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| 476 | KPP_REAL Y(NVAR), P(NVAR) |
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| 477 | Told = TIME |
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| 478 | TIME = T |
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| 479 | CALL Update_SUN() |
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| 480 | CALL Update_RCONST() |
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| 481 | CALL Fun( Y, FIX, RCONST, P ) |
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| 482 | TIME = Told |
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| 483 | RETURN |
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| 484 | END |
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| 485 | |
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| 486 | |
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| 487 | SUBROUTINE DFUNDPAR(N, NSENSIT, T, Y, P) |
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| 488 | C --- Computes the partial derivatives of FUNC_CHEM w.r.t. parameters |
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| 489 | INCLUDE 'KPP_ROOT_params.h' |
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| 490 | INCLUDE 'KPP_ROOT_global.h' |
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| 491 | C --- NCOEFF, JCOEFF useful for derivatives w.r.t. rate coefficients |
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| 492 | INTEGER N |
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| 493 | INTEGER NCOEFF, JCOEFF(NREACT) |
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| 494 | COMMON /DDMRCOEFF/ NCOEFF, JCOEFF |
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| 495 | |
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| 496 | KPP_REAL T, Told |
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| 497 | KPP_REAL Y(NVAR), P(NVAR*NSENSIT) |
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| 498 | Told = TIME |
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| 499 | TIME = T |
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| 500 | CALL Update_SUN() |
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| 501 | CALL Update_RCONST() |
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| 502 | C |
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| 503 | IF (DDMTYPE .EQ. 0) THEN |
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| 504 | C --- Note: the values below are for sensitivities w.r.t. initial values; |
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| 505 | C --- they may have to be changed for other applications |
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| 506 | DO j=1,NSENSIT |
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| 507 | DO i=1,NVAR |
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| 508 | P(i+NVAR*(j-1)) = 0.0D0 |
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| 509 | END DO |
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| 510 | END DO |
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| 511 | ELSE |
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| 512 | C --- Example: the call below is for sensitivities w.r.t. rate coefficients; |
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| 513 | C --- JCOEFF(1:NSENSIT) are the indices of the NSENSIT rate coefficients |
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| 514 | C --- w.r.t. which one differentiates |
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| 515 | CALL dFun_dRcoeff( Y, FIX, NCOEFF, JCOEFF, P ) |
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| 516 | END IF |
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| 517 | TIME = Told |
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| 518 | RETURN |
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| 519 | END |
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| 520 | |
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| 521 | SUBROUTINE JAC_CHEM(N, T, Y, J) |
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| 522 | INCLUDE 'KPP_ROOT_params.h' |
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| 523 | INCLUDE 'KPP_ROOT_global.h' |
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| 524 | INTEGER N |
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| 525 | KPP_REAL Told, T |
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| 526 | KPP_REAL Y(NVAR), J(LU_NONZERO) |
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| 527 | Told = TIME |
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| 528 | TIME = T |
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| 529 | CALL Update_SUN() |
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| 530 | CALL Update_RCONST() |
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| 531 | CALL Jac_SP( Y, FIX, RCONST, J ) |
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| 532 | TIME = Told |
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| 533 | RETURN |
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| 534 | END |
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| 535 | |
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| 536 | |
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| 537 | SUBROUTINE DJACDPAR(N, NSENSIT, T, Y, U, P) |
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| 538 | C --- Computes the partial derivatives of JAC w.r.t. parameters times user vector U |
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| 539 | INCLUDE 'KPP_ROOT_params.h' |
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| 540 | INCLUDE 'KPP_ROOT_global.h' |
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| 541 | C --- NCOEFF, JCOEFF useful for derivatives w.r.t. rate coefficients |
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| 542 | INTEGER NCOEFF, JCOEFF(NREACT) |
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| 543 | COMMON /DDMRCOEFF/ NCOEFF, JCOEFF |
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| 544 | |
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| 545 | INTEGER N |
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| 546 | KPP_REAL T, Told |
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| 547 | KPP_REAL Y(NVAR), U(NVAR) |
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| 548 | KPP_REAL P(NVAR*NSENSIT) |
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| 549 | Told = TIME |
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| 550 | TIME = T |
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| 551 | CALL Update_SUN() |
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| 552 | CALL Update_RCONST() |
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| 553 | C |
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| 554 | IF (DDMTYPE .EQ. 0) THEN |
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| 555 | C --- Note: the values below are for sensitivities w.r.t. initial values; |
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| 556 | C --- they may have to be changed for other applications |
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| 557 | DO j=1,NSENSIT |
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| 558 | DO i=1,NVAR |
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| 559 | P(i+NVAR*(j-1)) = 0.0D0 |
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| 560 | END DO |
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| 561 | END DO |
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| 562 | ELSE |
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| 563 | C --- Example: the call below is for sensitivities w.r.t. rate coefficients; |
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| 564 | C --- JCOEFF(1:NSENSIT) are the indices of the NSENSIT rate coefficients |
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| 565 | C --- w.r.t. which one differentiates |
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| 566 | CALL dJac_dRcoeff( Y, FIX, U, NCOEFF, JCOEFF, P ) |
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| 567 | END IF |
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| 568 | TIME = Told |
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| 569 | RETURN |
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| 570 | END |
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| 571 | |
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| 572 | |
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| 573 | SUBROUTINE HESS_CHEM(N, T, Y, HESS) |
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| 574 | INCLUDE 'KPP_ROOT_params.h' |
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| 575 | INCLUDE 'KPP_ROOT_global.h' |
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| 576 | INTEGER N |
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| 577 | KPP_REAL Told, T |
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| 578 | KPP_REAL Y(NVAR), HESS(NHESS) |
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| 579 | Told = TIME |
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| 580 | TIME = T |
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| 581 | CALL Update_SUN() |
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| 582 | CALL Update_RCONST() |
---|
| 583 | CALL Hessian( Y, FIX, RCONST, HESS ) |
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| 584 | TIME = Told |
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| 585 | RETURN |
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| 586 | END |
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| 587 | |
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| 588 | |
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| 589 | |
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| 590 | |
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| 591 | |
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| 592 | |
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