static void KIM_Malloc(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[])
{
int status;
mxArray *mx_in[3], *mx_out[2];
int mxiter, msbset, msbsetsub, etachoice, mxnbcf;
double eta, egamma, ealpha, mxnewtstep, relfunc, fnormtol, scsteptol;
booleantype verbose, noInitSetup, noMinEps;
double *constraints;
N_Vector NVconstraints;
int ptype;
int mudq, mldq, mupper, mlower;
int maxl, maxrs;
double dqrely;
/*
* -----------------------------
* Find out the vector type and
* then pass it to the vector
* library.
* -----------------------------
*/
/* Send vec_type and mx_comm */
InitVectors();
/*
* -----------------------------
* Extract stuff from arguments:
* - SYS function
* - problem dimension
* - solver options
* - user data
* -----------------------------
*/
/* Matlab user-provided function */
mxDestroyArray(mx_SYSfct);
mx_SYSfct = mxDuplicateArray(prhs[0]);
/* problem dimension */
N = (int) mxGetScalar(prhs[1]);
/* Solver Options -- optional argument */
status = get_SolverOptions(prhs[2],
&verbose,
&mxiter, &msbset, &msbsetsub, &etachoice, &mxnbcf,
&eta, &egamma, &ealpha, &mxnewtstep,
&relfunc, &fnormtol, &scsteptol,
&constraints,
&noInitSetup, &noMinEps);
/* User data -- optional argument */
mxDestroyArray(mx_data);
mx_data = mxDuplicateArray(prhs[3]);
/*
* -----------------------------------------------------
* Set solution vector (used as a template to KINMAlloc)
* -----------------------------------------------------
*/
y = NewVector(N);
/*
* ----------------------------------------
* Create kinsol object and allocate memory
* ----------------------------------------
*/
kin_mem = KINCreate();
/* attach error handler function */
status = KINSetErrHandlerFn(kin_mem, mtlb_KINErrHandler, NULL);
if (verbose) {
status = KINSetPrintLevel(kin_mem,3);
/* attach info handler function */
status = KINSetInfoHandlerFn(kin_mem, mtlb_KINInfoHandler, NULL);
/* initialize the output window */
mx_in[0] = mxCreateScalarDouble(0);
mx_in[1] = mxCreateScalarDouble(0); /* ignored */
mx_in[2] = mxCreateScalarDouble(0); /* ignored */
mexCallMATLAB(1,mx_out,3,mx_in,"kim_info");
fig_handle = (int)*mxGetPr(mx_out[0]);
}
/* Call KINMalloc */
status = KINMalloc(kin_mem, mtlb_KINSys, y);
/* Redirect output */
status = KINSetErrFile(kin_mem, stdout);
/* Optional inputs */
status = KINSetNumMaxIters(kin_mem,mxiter);
status = KINSetNoInitSetup(kin_mem,noInitSetup);
status = KINSetNoMinEps(kin_mem,noMinEps);
status = KINSetMaxSetupCalls(kin_mem,msbset);
status = KINSetMaxSubSetupCalls(kin_mem,msbsetsub);
status = KINSetMaxBetaFails(kin_mem,mxnbcf);
status = KINSetEtaForm(kin_mem,etachoice);
status = KINSetEtaConstValue(kin_mem,eta);
status = KINSetEtaParams(kin_mem,egamma,ealpha);
status = KINSetMaxNewtonStep(kin_mem,mxnewtstep);
status = KINSetRelErrFunc(kin_mem,relfunc);
status = KINSetFuncNormTol(kin_mem,fnormtol);
status = KINSetScaledStepTol(kin_mem,scsteptol);
if (constraints != NULL) {
NVconstraints = N_VCloneEmpty(y);
N_VSetArrayPointer(constraints, NVconstraints);
status = KINSetConstraints(kin_mem,NVconstraints);
N_VDestroy(NVconstraints);
}
status = get_LinSolvOptions(prhs[2],
&mupper, &mlower,
&mudq, &mldq, &dqrely,
&ptype, &maxrs, &maxl);
switch (ls) {
case LS_NONE:
mexErrMsgTxt("KINMalloc:: no linear solver specified.");
break;
case LS_DENSE:
status = KINDense(kin_mem, N);
if (!mxIsEmpty(mx_JACfct))
status = KINDenseSetJacFn(kin_mem, mtlb_KINDenseJac, NULL);
break;
case LS_BAND:
status = KINBand(kin_mem, N, mupper, mlower);
if (!mxIsEmpty(mx_JACfct))
status = KINBandSetJacFn(kin_mem, mtlb_KINBandJac, NULL);
break;
case LS_SPGMR:
switch(pm) {
case PM_NONE:
status = KINSpgmr(kin_mem, maxl);
if (!mxIsEmpty(mx_PSOLfct)) {
if (!mxIsEmpty(mx_PSETfct))
status = KINSpilsSetPreconditioner(kin_mem, mtlb_KINSpilsPset, mtlb_KINSpilsPsol, NULL);
else
status = KINSpilsSetPreconditioner(kin_mem, NULL, mtlb_KINSpilsPsol, NULL);
}
break;
case PM_BBDPRE:
if (!mxIsEmpty(mx_GCOMfct))
bbd_data = KINBBDPrecAlloc(kin_mem, N, mudq, mldq, mupper, mlower, dqrely, mtlb_KINGloc, mtlb_KINGcom);
else
bbd_data = KINBBDPrecAlloc(kin_mem, N, mudq, mldq, mupper, mlower, dqrely, mtlb_KINGloc, NULL);
status = KINBBDSpgmr(kin_mem, maxl, bbd_data);
break;
}
status = KINSpilsSetMaxRestarts(kin_mem, maxrs);
if (!mxIsEmpty(mx_JACfct))
status = KINSpilsSetJacTimesVecFn(kin_mem, mtlb_KINSpilsJac, NULL);
break;
case LS_SPBCG:
switch(pm) {
case PM_NONE:
status = KINSpbcg(kin_mem, maxl);
if (!mxIsEmpty(mx_PSOLfct)) {
if (!mxIsEmpty(mx_PSETfct))
status = KINSpilsSetPreconditioner(kin_mem, mtlb_KINSpilsPset, mtlb_KINSpilsPsol, NULL);
else
status = KINSpilsSetPreconditioner(kin_mem, NULL, mtlb_KINSpilsPsol, NULL);
}
break;
case PM_BBDPRE:
if (!mxIsEmpty(mx_GCOMfct))
bbd_data = KINBBDPrecAlloc(kin_mem, N, mudq, mldq, mupper, mlower, dqrely, mtlb_KINGloc, mtlb_KINGcom);
else
bbd_data = KINBBDPrecAlloc(kin_mem, N, mudq, mldq, mupper, mlower, dqrely, mtlb_KINGloc, NULL);
status = KINBBDSpbcg(kin_mem, maxl, bbd_data);
break;
}
if (!mxIsEmpty(mx_JACfct))
status = KINSpilsSetJacTimesVecFn(kin_mem, mtlb_KINSpilsJac, NULL);
break;
case LS_SPTFQMR:
switch(pm) {
case PM_NONE:
status = KINSptfqmr(kin_mem, maxl);
if (!mxIsEmpty(mx_PSOLfct)) {
if (!mxIsEmpty(mx_PSETfct))
status = KINSpilsSetPreconditioner(kin_mem, mtlb_KINSpilsPset, mtlb_KINSpilsPsol, NULL);
else
status = KINSpilsSetPreconditioner(kin_mem, NULL, mtlb_KINSpilsPsol, NULL);
}
break;
case PM_BBDPRE:
if (!mxIsEmpty(mx_GCOMfct))
bbd_data = KINBBDPrecAlloc(kin_mem, N, mudq, mldq, mupper, mlower, dqrely, mtlb_KINGloc, mtlb_KINGcom);
else
bbd_data = KINBBDPrecAlloc(kin_mem, N, mudq, mldq, mupper, mlower, dqrely, mtlb_KINGloc, NULL);
status = KINBBDSptfqmr(kin_mem, maxl, bbd_data);
break;
}
if (!mxIsEmpty(mx_JACfct))
status = KINSpilsSetJacTimesVecFn(kin_mem, mtlb_KINSpilsJac, NULL);
break;
}
return;
}
void FKIN_BAND(int *neq, int *mupper, int *mlower, int *ier)
{
*ier = KINBand(KIN_kinmem, *neq, *mupper, *mlower);
KIN_ls = KIN_LS_BAND;
}
int main()
{
realtype fnormtol, fnorm;
N_Vector y, scale;
int flag;
void *kmem;
y = scale = NULL;
kmem = NULL;
/* -------------------------
* Print problem description
* ------------------------- */
printf("\n2D elliptic PDE on unit square\n");
printf(" d^2 u / dx^2 + d^2 u / dy^2 = u^3 - u + 2.0\n");
printf(" + homogeneous Dirichlet boundary conditions\n\n");
printf("Solution method: Anderson accelerated Picard iteration with band linear solver.\n");
printf("Problem size: %2ld x %2ld = %4ld\n",
(long int) NX, (long int) NY, (long int) NEQ);
/* --------------------------------------
* Create vectors for solution and scales
* -------------------------------------- */
y = N_VNew_Serial(NEQ);
if (check_flag((void *)y, "N_VNew_Serial", 0)) return(1);
scale = N_VNew_Serial(NEQ);
if (check_flag((void *)scale, "N_VNew_Serial", 0)) return(1);
/* ----------------------------------------------------------------------------------
* Initialize and allocate memory for KINSOL, set parametrs for Anderson acceleration
* ---------------------------------------------------------------------------------- */
kmem = KINCreate();
if (check_flag((void *)kmem, "KINCreate", 0)) return(1);
/* y is used as a template */
/* Use acceleration with up to 3 prior residuals */
flag = KINSetMAA(kmem, 3);
if (check_flag(&flag, "KINSetMAA", 1)) return(1);
flag = KINInit(kmem, func, y);
if (check_flag(&flag, "KINInit", 1)) return(1);
/* -------------------
* Set optional inputs
* ------------------- */
/* Specify stopping tolerance based on residual */
fnormtol = FTOL;
flag = KINSetFuncNormTol(kmem, fnormtol);
if (check_flag(&flag, "KINSetFuncNormTol", 1)) return(1);
/* -------------------------
* Attach band linear solver
* ------------------------- */
flag = KINBand(kmem, NEQ, NX, NX);
if (check_flag(&flag, "KINBand", 1)) return(1);
flag = KINDlsSetBandJacFn(kmem, jac);
if (check_flag(&flag, "KINDlsBandJacFn", 1)) return(1);
/* -------------
* Initial guess
* ------------- */
N_VConst_Serial(ZERO, y);
IJth(NV_DATA_S(y), 2, 2) = ONE;
/* ----------------------------
* Call KINSol to solve problem
* ---------------------------- */
/* No scaling used */
N_VConst_Serial(ONE,scale);
/* Call main solver */
flag = KINSol(kmem, /* KINSol memory block */
y, /* initial guess on input; solution vector */
KIN_PICARD, /* global strategy choice */
scale, /* scaling vector, for the variable cc */
scale); /* scaling vector for function values fval */
if (check_flag(&flag, "KINSol", 1)) return(1);
/* ------------------------------------
* Print solution and solver statistics
* ------------------------------------ */
/* Get scaled norm of the system function */
flag = KINGetFuncNorm(kmem, &fnorm);
if (check_flag(&flag, "KINGetfuncNorm", 1)) return(1);
printf("\nComputed solution (||F|| = %g):\n\n",fnorm);
PrintOutput(y);
PrintFinalStats(kmem);
/* -----------
* Free memory
* ----------- */
N_VDestroy_Serial(y);
N_VDestroy_Serial(scale);
KINFree(&kmem);
return(0);
}
