static void phyanimal_fit_lambda(PhyAnimal model) { nlopt_opt opt; double lb, ub, lambda, loglh; opt = nlopt_create(NLOPT_LN_NELDERMEAD, 1); /* one dimension */ lb = 0.0; ub = 1.0; nlopt_set_lower_bounds(opt,&lb); nlopt_set_upper_bounds(opt,&ub); /* No inequality constraints */ nlopt_set_max_objective(opt, loglh_worker, model); nlopt_set_xtol_rel(opt, 1e-4); lambda = 0.1; if (nlopt_optimize(opt, &lambda, &loglh)<0) { printf("NLOPT failed\n"); } else { printf("Maximum lh %f at lambda %f\n",loglh,lambda); printf("Sigma = %f\n",model->sigma); printf("Sigma_b = %f\nSigma_e = %f\n",model->sigma*lambda,model->sigma*(1-lambda)); } model->loglh = loglh; model->lambda = lambda; nlopt_destroy(opt); return; }
Shredder::Shredder(double lower_limit, double upper_limit, double tolerance) : lower_limit(lower_limit) , upper_limit(upper_limit) , tolerance(tolerance) , opt(NULL) { opt = nlopt_create(NLOPT_LD_SLSQP, 1); nlopt_set_lower_bounds(opt, &lower_limit); nlopt_set_upper_bounds(opt, &upper_limit); nlopt_set_max_objective(opt, shredder_opt_objective, reinterpret_cast<void*>(this)); nlopt_set_maxeval(opt, 20); nlopt_set_ftol_abs(opt, 1e-7); nlopt_set_xtol_abs(opt, &tolerance); }
int main(int argc, char **argv) { /* -------Initialize and Get the parameters from command line ------*/ PetscInitialize(&argc, &argv, PETSC_NULL, PETSC_NULL); PetscPrintf(PETSC_COMM_WORLD,"--------Initializing------ \n"); PetscErrorCode ierr; PetscBool flg; int myrank; MPI_Comm_rank(MPI_COMM_WORLD,&myrank); if(myrank==0) mma_verbose=1; /*-------------------------------------------------*/ int Mx,My,Mz,Mzslab, Npmlx,Npmly,Npmlz,DegFree, anisotropic; PetscOptionsGetInt(PETSC_NULL,"-Nx",&Nx,&flg); MyCheckAndOutputInt(flg,Nx,"Nx","Nx"); PetscOptionsGetInt(PETSC_NULL,"-Ny",&Ny,&flg); MyCheckAndOutputInt(flg,Ny,"Ny","Nx"); PetscOptionsGetInt(PETSC_NULL,"-Nz",&Nz,&flg); MyCheckAndOutputInt(flg,Nz,"Nz","Nz"); PetscOptionsGetInt(PETSC_NULL,"-Mx",&Mx,&flg); MyCheckAndOutputInt(flg,Mx,"Mx","Mx"); PetscOptionsGetInt(PETSC_NULL,"-My",&My,&flg); MyCheckAndOutputInt(flg,My,"My","My"); PetscOptionsGetInt(PETSC_NULL,"-Mz",&Mz,&flg); MyCheckAndOutputInt(flg,Mz,"Mz","Mz"); PetscOptionsGetInt(PETSC_NULL,"-Mzslab",&Mzslab,&flg); MyCheckAndOutputInt(flg,Mzslab,"Mzslab","Mzslab"); PetscOptionsGetInt(PETSC_NULL,"-Npmlx",&Npmlx,&flg); MyCheckAndOutputInt(flg,Npmlx,"Npmlx","Npmlx"); PetscOptionsGetInt(PETSC_NULL,"-Npmly",&Npmly,&flg); MyCheckAndOutputInt(flg,Npmly,"Npmly","Npmly"); PetscOptionsGetInt(PETSC_NULL,"-Npmlz",&Npmlz,&flg); MyCheckAndOutputInt(flg,Npmlz,"Npmlz","Npmlz"); Nxyz = Nx*Ny*Nz; // if anisotropic !=0, Degree of Freedom = 3*Mx*My*Mz; else DegFree = Mx*My*Mz; PetscOptionsGetInt(PETSC_NULL,"-anisotropic",&anisotropic,&flg); if(!flg) anisotropic = 0; // by default, it is isotropc. DegFree = (anisotropic ? 3 : 1 )*Mx*My*((Mzslab==0)?Mz:1); PetscPrintf(PETSC_COMM_WORLD," the Degree of Freedoms is %d \n ", DegFree); int DegFreeAll=DegFree+1; PetscPrintf(PETSC_COMM_WORLD," the Degree of Freedoms ALL is %d \n ", DegFreeAll); int BCPeriod, Jdirection, Jdirectiontwo, LowerPML; int bx[2], by[2], bz[2]; PetscOptionsGetInt(PETSC_NULL,"-BCPeriod",&BCPeriod,&flg); MyCheckAndOutputInt(flg,BCPeriod,"BCPeriod","BCPeriod given"); PetscOptionsGetInt(PETSC_NULL,"-Jdirection",&Jdirection,&flg); MyCheckAndOutputInt(flg,Jdirection,"Jdirection","Diapole current direction"); PetscOptionsGetInt(PETSC_NULL,"-Jdirectiontwo",&Jdirectiontwo,&flg); MyCheckAndOutputInt(flg,Jdirectiontwo,"Jdirectiontwo","Diapole current direction for source two"); PetscOptionsGetInt(PETSC_NULL,"-LowerPML",&LowerPML,&flg); MyCheckAndOutputInt(flg,LowerPML,"LowerPML","PML in the lower xyz boundary"); PetscOptionsGetInt(PETSC_NULL,"-bxl",bx,&flg); MyCheckAndOutputInt(flg,bx[0],"bxl","BC at x lower"); PetscOptionsGetInt(PETSC_NULL,"-bxu",bx+1,&flg); MyCheckAndOutputInt(flg,bx[1],"bxu","BC at x upper"); PetscOptionsGetInt(PETSC_NULL,"-byl",by,&flg); MyCheckAndOutputInt(flg,by[0],"byl","BC at y lower"); PetscOptionsGetInt(PETSC_NULL,"-byu",by+1,&flg); MyCheckAndOutputInt(flg,by[1],"byu","BC at y upper"); PetscOptionsGetInt(PETSC_NULL,"-bzl",bz,&flg); MyCheckAndOutputInt(flg,bz[0],"bzl","BC at z lower"); PetscOptionsGetInt(PETSC_NULL,"-bzu",bz+1,&flg); MyCheckAndOutputInt(flg,bz[1],"bzu","BC at z upper"); double epssub, RRT, sigmax, sigmay, sigmaz ; PetscOptionsGetReal(PETSC_NULL,"-hx",&hx,&flg); MyCheckAndOutputDouble(flg,hx,"hx","hx"); hy = hx; hz = hx; hxyz = (Nz==1)*hx*hy + (Nz>1)*hx*hy*hz; double omega, omegaone, omegatwo, wratio; PetscOptionsGetReal(PETSC_NULL,"-omega",&omega,&flg); MyCheckAndOutputDouble(flg,omega,"omega","omega"); PetscOptionsGetReal(PETSC_NULL,"-wratio",&wratio,&flg); MyCheckAndOutputDouble(flg,wratio,"wratio","wratio"); omegaone=omega; omegatwo=wratio*omega; PetscPrintf(PETSC_COMM_WORLD,"---omegaone is %.16e and omegatwo is %.16e ---\n",omegaone, omegatwo); PetscOptionsGetReal(PETSC_NULL,"-Qabs",&Qabs,&flg); if (flg && Qabs>1e+15) Qabs=1.0/0.0; MyCheckAndOutputDouble(flg,Qabs,"Qabs","Qabs"); PetscOptionsGetReal(PETSC_NULL,"-epsair",&epsair,&flg); MyCheckAndOutputDouble(flg,epsair,"epsair","epsair"); PetscOptionsGetReal(PETSC_NULL,"-epssub",&epssub,&flg); MyCheckAndOutputDouble(flg,epssub,"epssub","epssub"); PetscOptionsGetReal(PETSC_NULL,"-RRT",&RRT,&flg); MyCheckAndOutputDouble(flg,RRT,"RRT","RRT given"); sigmax = pmlsigma(RRT,Npmlx*hx); sigmay = pmlsigma(RRT,Npmly*hy); sigmaz = pmlsigma(RRT,Npmlz*hz); PetscPrintf(PETSC_COMM_WORLD,"----sigmax is %.12e \n",sigmax); PetscPrintf(PETSC_COMM_WORLD,"----sigmay is %.12e \n",sigmay); PetscPrintf(PETSC_COMM_WORLD,"----sigmaz is %.12e \n",sigmaz); char initialdata[PETSC_MAX_PATH_LEN]; //filenameComm[PETSC_MAX_PATH_LEN]; PetscOptionsGetString(PETSC_NULL,"-initialdata",initialdata,PETSC_MAX_PATH_LEN,&flg); MyCheckAndOutputChar(flg,initialdata,"initialdata","Inputdata file"); PetscOptionsGetString(PETSC_NULL,"-filenameComm",filenameComm,PETSC_MAX_PATH_LEN,&flg); MyCheckAndOutputChar(flg,filenameComm,"filenameComm","Output filenameComm"); // add cx, cy, cz to indicate where the diapole current is; int cx, cy, cz; PetscOptionsGetInt(PETSC_NULL,"-cx",&cx,&flg); if (!flg) {cx=(LowerPML)*floor(Nx/2); PetscPrintf(PETSC_COMM_WORLD,"cx is %d by default \n",cx);} else {PetscPrintf(PETSC_COMM_WORLD,"the current poisiont cx is %d \n",cx);} PetscOptionsGetInt(PETSC_NULL,"-cy",&cy,&flg); if (!flg) {cy=(LowerPML)*floor(Ny/2); PetscPrintf(PETSC_COMM_WORLD,"cy is %d by default \n",cy);} else {PetscPrintf(PETSC_COMM_WORLD,"the current poisiont cy is %d \n",cy);} PetscOptionsGetInt(PETSC_NULL,"-cz",&cz,&flg); if (!flg) {cz=(LowerPML)*floor(Nz/2); PetscPrintf(PETSC_COMM_WORLD,"cz is %d by default \n",cz);} else {PetscPrintf(PETSC_COMM_WORLD,"the current poisiont cz is %d \n",cz);} posj = (cx*Ny+ cy)*Nz + cz; PetscPrintf(PETSC_COMM_WORLD,"the posj is %d \n. ", posj); int fixpteps; PetscOptionsGetInt(PETSC_NULL,"-fixpteps",&fixpteps,&flg); MyCheckAndOutputInt(flg,fixpteps,"fixpteps","fixpteps"); // Get minapproach; PetscOptionsGetInt(PETSC_NULL,"-minapproach",&minapproach,&flg); MyCheckAndOutputInt(flg,minapproach,"minapproach","minapproach"); // Get withepsinldos; PetscOptionsGetInt(PETSC_NULL,"-withepsinldos",&withepsinldos,&flg); MyCheckAndOutputInt(flg,withepsinldos,"withepsinldos","withepsinldos"); // Get outputbase; PetscOptionsGetInt(PETSC_NULL,"-outputbase",&outputbase,&flg); MyCheckAndOutputInt(flg,outputbase,"outputbase","outputbase"); // Get cavityverbose; PetscOptionsGetInt(PETSC_NULL,"-cavityverbose",&cavityverbose,&flg); if(!flg) cavityverbose=0; PetscPrintf(PETSC_COMM_WORLD,"the cavity verbose is set as %d \n", cavityverbose); // Get refinedldos; PetscOptionsGetInt(PETSC_NULL,"-refinedldos",&refinedldos,&flg); if(!flg) refinedldos=0; PetscPrintf(PETSC_COMM_WORLD,"the refinedldos is set as %d \n", refinedldos); // Get cmpwrhs; int cmpwrhs; PetscOptionsGetInt(PETSC_NULL,"-cmpwrhs",&cmpwrhs,&flg); if(!flg) cmpwrhs=0; PetscPrintf(PETSC_COMM_WORLD,"the cmpwrhs is set as %d \n", cmpwrhs); // Get lrzsqr; PetscOptionsGetInt(PETSC_NULL,"-lrzsqr",&lrzsqr,&flg); if(!flg) lrzsqr=0; PetscPrintf(PETSC_COMM_WORLD,"the lrzsqr is set as %d \n", lrzsqr); // Get newQdef; PetscOptionsGetInt(PETSC_NULL,"-newQdef",&newQdef,&flg); if(!flg) newQdef=0; PetscPrintf(PETSC_COMM_WORLD,"the newQdef is set as %d \n", newQdef); /*--------------------------------------------------------*/ /*--------------------------------------------------------*/ /*---------- Set the current source---------*/ //Mat D; //ImaginaryIMatrix; ImagIMat(PETSC_COMM_WORLD, &D,6*Nxyz); Vec J; ierr = VecCreateMPI(PETSC_COMM_WORLD, PETSC_DECIDE, 6*Nxyz, &J);CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) J, "Source");CHKERRQ(ierr); VecSet(J,0.0); //initialization; if (Jdirection == 1) SourceSingleSetX(PETSC_COMM_WORLD, J, Nx, Ny, Nz, cx, cy, cz,1.0/hxyz); else if (Jdirection ==2) SourceSingleSetY(PETSC_COMM_WORLD, J, Nx, Ny, Nz, cx, cy, cz,1.0/hxyz); else if (Jdirection == 3) SourceSingleSetZ(PETSC_COMM_WORLD, J, Nx, Ny, Nz, cx, cy, cz,1.0/hxyz); else PetscPrintf(PETSC_COMM_WORLD," Please specify correct direction of current: x (1) , y (2) or z (3)\n "); Vec Jtwo; ierr = VecDuplicate(J, &Jtwo);CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) Jtwo, "Sourcetwo");CHKERRQ(ierr); VecSet(Jtwo,0.0); //initialization; if (Jdirectiontwo == 1) SourceSingleSetX(PETSC_COMM_WORLD, Jtwo, Nx, Ny, Nz, cx, cy, cz,1.0/hxyz); else if (Jdirectiontwo ==2) SourceSingleSetY(PETSC_COMM_WORLD, Jtwo, Nx, Ny, Nz, cx, cy, cz,1.0/hxyz); else if (Jdirectiontwo == 3) SourceSingleSetZ(PETSC_COMM_WORLD, Jtwo, Nx, Ny, Nz, cx, cy, cz,1.0/hxyz); else PetscPrintf(PETSC_COMM_WORLD," Please specify correct direction of current two: x (1) , y (2) or z (3)\n "); //Vec b; // b= i*omega*J; Vec bone, btwo; ierr = VecDuplicate(J,&b);CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) b, "rhsone");CHKERRQ(ierr); ierr = VecDuplicate(J,&bone);CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) bone, "rhsone");CHKERRQ(ierr); ierr = VecDuplicate(Jtwo,&btwo);CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) btwo, "rhstwo");CHKERRQ(ierr); if (cmpwrhs==0) { ierr = MatMult(D,J,b);CHKERRQ(ierr); ierr = MatMult(D,Jtwo,btwo);CHKERRQ(ierr); VecCopy(b,bone); VecScale(bone,omegaone); VecScale(btwo,omegatwo); VecScale(b,omega); } else { double complex cmpiomega; cmpiomega = cpow(1+I/Qabs,newQdef+1); double sqrtiomegaR = -omega*cimag(csqrt(cmpiomega)); double sqrtiomegaI = omega*creal(csqrt(cmpiomega)); PetscPrintf(PETSC_COMM_WORLD,"the real part of sqrt cmpomega is %g and imag sqrt is % g ", sqrtiomegaR, sqrtiomegaI); Vec tmpi; ierr = VecDuplicate(J,&tmpi); VecSet(b,0.0); VecSet(tmpi,0.0); CmpVecScale(J,b,sqrtiomegaR,sqrtiomegaI,D,tmpi); VecDestroy(&tmpi); } /*-------Get the weight vector ------------------*/ //Vec weight; ierr = VecDuplicate(J,&weight); CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) weight, "weight");CHKERRQ(ierr); if(LowerPML==0) GetWeightVec(weight, Nx, Ny,Nz); // new code handles both 3D and 2D; else VecSet(weight,1.0); Vec weightedJ; ierr = VecDuplicate(J,&weightedJ); CHKERRQ(ierr); ierr = VecPointwiseMult(weightedJ,J,weight); ierr = PetscObjectSetName((PetscObject) weightedJ, "weightedJ");CHKERRQ(ierr); Vec weightedJtwo; ierr = VecDuplicate(Jtwo,&weightedJtwo); CHKERRQ(ierr); ierr = VecPointwiseMult(weightedJtwo,Jtwo,weight); ierr = PetscObjectSetName((PetscObject) weightedJtwo, "weightedJtwo");CHKERRQ(ierr); //Vec vR; ierr = VecDuplicate(J,&vR); CHKERRQ(ierr); GetRealPartVec(vR, 6*Nxyz); // VecFReal; if (lrzsqr) { ierr = VecDuplicate(J,&epsFReal); CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) epsFReal, "epsFReal");CHKERRQ(ierr); if (newQdef==0) { sqrtomegaI = omega*cimag(csqrt(1+I/Qabs)); PetscPrintf(PETSC_COMM_WORLD,"the real part of sqrt cmpomega is %g and imag sqrt is % g ", omega*creal(csqrt(1+I/Qabs)), sqrtomegaI); betar = 2*sqrtomegaI; betai = betar/Qabs; } else { double gamma; gamma = omega/Qabs; betar = 2*gamma*(1-1.0/pow(Qabs,2)); betai = 2*gamma*(2.0/Qabs); } ierr = VecDuplicate(J,&nb); CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) nb, "nb"); CHKERRQ(ierr); ierr = VecDuplicate(J,&y); CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) y, "y"); CHKERRQ(ierr); ierr = VecDuplicate(J,&xsqr); CHKERRQ(ierr); // xsqr = x*x; ierr = PetscObjectSetName((PetscObject) xsqr, "xsqr"); CHKERRQ(ierr); CongMat(PETSC_COMM_WORLD, &C, 6*Nxyz); } /*----------- Define PML muinv vectors */ Vec muinvpml; MuinvPMLFull(PETSC_COMM_SELF, &muinvpml,Nx,Ny,Nz,Npmlx,Npmly,Npmlz,sigmax,sigmay,sigmaz,omega, LowerPML); //double *muinv; muinv = (double *) malloc(sizeof(double)*6*Nxyz); int add=0; AddMuAbsorption(muinv,muinvpml,Qabs,add); ierr = VecDestroy(&muinvpml); CHKERRQ(ierr); /*---------- Define PML eps vectors: epspml---------- */ Vec epspml; //epspmlQ, epscoef; ierr = VecDuplicate(J,&epspml);CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) epspml,"EpsPMLFull"); CHKERRQ(ierr); EpsPMLFull(PETSC_COMM_WORLD, epspml,Nx,Ny,Nz,Npmlx,Npmly,Npmlz,sigmax,sigmay,sigmaz,omega, LowerPML); ierr = VecDuplicate(J,&epspmlQ);CHKERRQ(ierr); Vec epscoefone, epscoeftwo; ierr = VecDuplicate(J,&epscoefone);CHKERRQ(ierr); ierr = VecDuplicate(J,&epscoeftwo);CHKERRQ(ierr); // compute epspmlQ,epscoef; EpsCombine(D, weight, epspml, epspmlQ, epscoefone, Qabs, omegaone); EpsCombine(D, weight, epspml, epspmlQ, epscoeftwo, Qabs, omegatwo); /*--------- Setup the interp matrix ----------------------- */ /* for a samll eps block, interp it into yee-lattice. The interp matrix A and PML epspml only need to generated once;*/ //Mat A; //new routine for myinterp; myinterp(PETSC_COMM_WORLD, &A, Nx,Ny,Nz, LowerPML*floor((Nx-Mx)/2),LowerPML*floor((Ny-My)/2),LowerPML*floor((Nz-Mz)/2), Mx,My,Mz,Mzslab, anisotropic); // LoweerPML*Npmlx,..,.., specify where the interp starts; //Vec epsSReal, epsgrad, vgrad; // create compatiable vectors with A. ierr = MatGetVecs(A,&epsSReal, &epsgrad); CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) epsgrad, "epsgrad");CHKERRQ(ierr); ierr = VecDuplicate(epsSReal, &vgrad); CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) epsSReal, "epsSReal");CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) vgrad, "vgrad");CHKERRQ(ierr); /*---------Setup the epsmedium vector----------------*/ //Vec epsmedium; ierr = VecDuplicate(J,&epsmedium); CHKERRQ(ierr); GetMediumVec(epsmedium,Nz,Mz,epsair,epssub); /*--------- Setup the finitie difference matrix-------------*/ //Mat M; MoperatorGeneral(PETSC_COMM_WORLD, &M, Nx,Ny,Nz,hx,hy,hz, bx, by, bz,muinv,BCPeriod); free(muinv); /*--------Setup the KSP variables ---------------*/ KSP kspone; PC pcone; ierr = KSPCreate(PETSC_COMM_WORLD,&kspone);CHKERRQ(ierr); //ierr = KSPSetType(ksp, KSPPREONLY);CHKERRQ(ierr); ierr = KSPSetType(kspone, KSPGMRES);CHKERRQ(ierr); ierr = KSPGetPC(kspone,&pcone);CHKERRQ(ierr); ierr = PCSetType(pcone,PCLU);CHKERRQ(ierr); ierr = PCFactorSetMatSolverPackage(pcone,MATSOLVERPASTIX);CHKERRQ(ierr); ierr = PCSetFromOptions(pcone); int maxkspit = 20; ierr = KSPSetTolerances(kspone,1e-14,PETSC_DEFAULT,PETSC_DEFAULT,maxkspit);CHKERRQ(ierr); ierr = KSPSetFromOptions(kspone);CHKERRQ(ierr); KSP ksptwo; PC pctwo; ierr = KSPCreate(PETSC_COMM_WORLD,&ksptwo);CHKERRQ(ierr); //ierr = KSPSetType(ksp, KSPPREONLY);CHKERRQ(ierr); ierr = KSPSetType(ksptwo, KSPGMRES);CHKERRQ(ierr); ierr = KSPGetPC(ksptwo,&pctwo);CHKERRQ(ierr); ierr = PCSetType(pctwo,PCLU);CHKERRQ(ierr); ierr = PCFactorSetMatSolverPackage(pctwo,MATSOLVERPASTIX);CHKERRQ(ierr); ierr = PCSetFromOptions(pctwo); ierr = KSPSetTolerances(ksptwo,1e-14,PETSC_DEFAULT,PETSC_DEFAULT,maxkspit);CHKERRQ(ierr); ierr = KSPSetFromOptions(ksptwo);CHKERRQ(ierr); /*--------- Create the space for solution vector -------------*/ //Vec x; ierr = VecDuplicate(J,&x);CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) x, "Solution");CHKERRQ(ierr); /*----------- Create the space for final eps -------------*/ //Vec epsC, epsCi, epsP; ierr = VecDuplicate(J,&epsC);CHKERRQ(ierr); ierr = PetscObjectSetName((PetscObject) epsC, "EpsC");CHKERRQ(ierr); ierr = VecDuplicate(J,&epsCi);CHKERRQ(ierr); ierr = VecDuplicate(J,&epsP);CHKERRQ(ierr); ierr = VecSet(epsP,0.0); CHKERRQ(ierr); ierr = VecAssemblyBegin(epsP); CHKERRQ(ierr); ierr = VecAssemblyEnd(epsP); CHKERRQ(ierr); /*------------ Create space used in the solver ------------*/ //Vec vgradlocal,tmp, tmpa,tmpb; ierr = VecCreateSeq(PETSC_COMM_SELF, DegFree, &vgradlocal); CHKERRQ(ierr); ierr = VecDuplicate(J,&tmp); CHKERRQ(ierr); ierr = VecDuplicate(J,&tmpa); CHKERRQ(ierr); ierr = VecDuplicate(J,&tmpb); CHKERRQ(ierr); // Vec pickposvec; this vector is zero except that first entry is one; if (withepsinldos) { ierr = VecDuplicate(J,&pickposvec); CHKERRQ(ierr); ierr = VecSet(pickposvec,0.0); CHKERRQ(ierr); ierr = VecSetValue(pickposvec,posj+Jdirection*Nxyz,1.0,INSERT_VALUES); VecAssemblyBegin(pickposvec); VecAssemblyEnd(pickposvec); } /*------------ Create scatter used in the solver -----------*/ //VecScatter scatter; //IS from, to; ierr =ISCreateStride(PETSC_COMM_SELF,DegFree,0,1,&from); CHKERRQ(ierr); ierr =ISCreateStride(PETSC_COMM_SELF,DegFree,0,1,&to); CHKERRQ(ierr); /*-------------Read the input file -------------------------*/ double *epsoptAll; epsoptAll = (double *) malloc(DegFreeAll*sizeof(double)); FILE *ptf; ptf = fopen(initialdata,"r"); PetscPrintf(PETSC_COMM_WORLD,"reading from input files \n"); int i; // set the dielectric at the center is fixed, and alwyas high //epsopt[0]=myub; is defined below near lb and ub; for (i=0;i<DegFree;i++) { //PetscPrintf(PETSC_COMM_WORLD,"current eps reading is %lf \n",epsopt[i]); fscanf(ptf,"%lf",&epsoptAll[i]); } epsoptAll[DegFreeAll-1]=0; //initialize auxiliary variable; fclose(ptf); /*----declare these data types, althought they may not be used for job 2 -----------------*/ double mylb,myub, *lb=NULL, *ub=NULL; int maxeval, maxtime, mynloptalg; double maxf; nlopt_opt opt; nlopt_result result; /*--------------------------------------------------------------*/ /*----Now based on Command Line, Do the corresponding job----*/ /*----------------------------------------------------------------*/ //int Job; set Job to be gloabl variables; PetscOptionsGetInt(PETSC_NULL,"-Job",&Job,&flg); MyCheckAndOutputInt(flg,Job,"Job","The Job indicator you set"); int numofvar=(Job==1)*DegFreeAll + (Job==3); /*-------- convert the epsopt array to epsSReal (if job!=optmization) --------*/ if (Job==2 || Job ==3) { // copy epsilon from file to epsSReal; (different from FindOpt.c, because epsilon is not degree-of-freedoms in computeQ. // i) create a array to read file (done above in epsopt); ii) convert the array to epsSReal; int ns, ne; ierr = VecGetOwnershipRange(epsSReal,&ns,&ne); for(i=ns;i<ne;i++) { ierr=VecSetValue(epsSReal,i,epsoptAll[i],INSERT_VALUES); CHKERRQ(ierr); } if(withepsinldos) { epsatinterest = epsoptAll[cx*Ny*Nz + cy*Nz + cz] + epsair; PetscPrintf(PETSC_COMM_WORLD, " the relative permitivity at the point of current is %.16e \n ",epsatinterest);} ierr = VecAssemblyBegin(epsSReal); CHKERRQ(ierr); ierr = VecAssemblyEnd(epsSReal); CHKERRQ(ierr); } if (Job==1 || Job==3) // optimization bounds setup; { PetscOptionsGetInt(PETSC_NULL,"-maxeval",&maxeval,&flg); MyCheckAndOutputInt(flg,maxeval,"maxeval","max number of evaluation"); PetscOptionsGetInt(PETSC_NULL,"-maxtime",&maxtime,&flg); MyCheckAndOutputInt(flg,maxtime,"maxtime","max time of evaluation"); PetscOptionsGetInt(PETSC_NULL,"-mynloptalg",&mynloptalg,&flg); MyCheckAndOutputInt(flg,mynloptalg,"mynloptalg","The algorithm used "); PetscOptionsGetReal(PETSC_NULL,"-mylb",&mylb,&flg); MyCheckAndOutputDouble(flg,mylb,"mylb","optimization lb"); PetscOptionsGetReal(PETSC_NULL,"-myub",&myub,&flg); MyCheckAndOutputDouble(flg,myub,"myub","optimization ub"); lb = (double *) malloc(numofvar*sizeof(double)); ub = (double *) malloc(numofvar*sizeof(double)); // the dielectric constant at center is fixed! for(i=0;i<numofvar;i++) { lb[i] = mylb; ub[i] = myub; } //initial guess, lower bounds, upper bounds; // set lower and upper bounds for auxiliary variable; lb[numofvar-1]=0; ub[numofvar-1]=1.0/0.0; //fix the dielectric at the center to be high for topology optimization; if (Job==1 && fixpteps==1) { epsoptAll[0]=myub; lb[0]=myub; ub[0]=myub; } opt = nlopt_create(mynloptalg, numofvar); myfundatatypeshg data[2] = {{omegaone, bone, weightedJ, epscoefone,kspone},{omegatwo, btwo, weightedJtwo, epscoeftwo,ksptwo}}; nlopt_add_inequality_constraint(opt,ldosconstraint, &data[0], 1e-8); nlopt_add_inequality_constraint(opt,ldosconstraint, &data[1], 1e-8); nlopt_set_lower_bounds(opt,lb); nlopt_set_upper_bounds(opt,ub); nlopt_set_maxeval(opt,maxeval); nlopt_set_maxtime(opt,maxtime); /*add functionality to choose local optimizer; */ int mynloptlocalalg; nlopt_opt local_opt; PetscOptionsGetInt(PETSC_NULL,"-mynloptlocalalg",&mynloptlocalalg,&flg); MyCheckAndOutputInt(flg,mynloptlocalalg,"mynloptlocalalg","The local optimization algorithm used "); if (mynloptlocalalg) { local_opt=nlopt_create(mynloptlocalalg,numofvar); nlopt_set_ftol_rel(local_opt, 1e-14); nlopt_set_maxeval(local_opt,100000); nlopt_set_local_optimizer(opt,local_opt); } } switch (Job) { case 1: { if (minapproach) nlopt_set_min_objective(opt,maxminobjfun,NULL);// NULL: no data to be passed because of global variables; else nlopt_set_max_objective(opt,maxminobjfun,NULL); result = nlopt_optimize(opt,epsoptAll,&maxf); } break; case 2 : //AnalyzeStructure { int Linear, Eig, maxeigit; PetscOptionsGetInt(PETSC_NULL,"-Linear",&Linear,&flg); MyCheckAndOutputInt(flg,Linear,"Linear","Linear solver indicator"); PetscOptionsGetInt(PETSC_NULL,"-Eig",&Eig,&flg); MyCheckAndOutputInt(flg,Eig,"Eig","Eig solver indicator"); PetscOptionsGetInt(PETSC_NULL,"-maxeigit",&maxeigit,&flg); MyCheckAndOutputInt(flg,maxeigit,"maxeigit","maximum number of Eig solver iterations is"); /*----------------------------------*/ //EigenSolver(Linear, Eig, maxeigit); /*----------------------------------*/ OutputVec(PETSC_COMM_WORLD, weight,filenameComm, "weight.m"); } break; default: PetscPrintf(PETSC_COMM_WORLD,"--------Interesting! You're doing nothing!--------\n "); } if(Job==1 || Job==3) { /* print the optimization parameters */ #if 0 double xrel, frel, fabs; // double *xabs; frel=nlopt_get_ftol_rel(opt); fabs=nlopt_get_ftol_abs(opt); xrel=nlopt_get_xtol_rel(opt); PetscPrintf(PETSC_COMM_WORLD,"nlopt frel is %g \n",frel); PetscPrintf(PETSC_COMM_WORLD,"nlopt fabs is %g \n",fabs); PetscPrintf(PETSC_COMM_WORLD,"nlopt xrel is %g \n",xrel); //nlopt_result nlopt_get_xtol_abs(const nlopt_opt opt, double *tol); #endif /*--------------*/ if (result < 0) { PetscPrintf(PETSC_COMM_WORLD,"nlopt failed! \n", result); } else { PetscPrintf(PETSC_COMM_WORLD,"found extremum %0.16e\n", minapproach?1.0/maxf:maxf); } PetscPrintf(PETSC_COMM_WORLD,"nlopt returned value is %d \n", result); if(Job==1) { //OutputVec(PETSC_COMM_WORLD, epsopt,filenameComm, "epsopt.m"); //OutputVec(PETSC_COMM_WORLD, epsgrad,filenameComm, "epsgrad.m"); //OutputVec(PETSC_COMM_WORLD, vgrad,filenameComm, "vgrad.m"); //OutputVec(PETSC_COMM_WORLD, x,filenameComm, "x.m"); int rankA; MPI_Comm_rank(PETSC_COMM_WORLD, &rankA); if(rankA==0) { ptf = fopen(strcat(filenameComm,"epsopt.txt"),"w"); for (i=0;i<DegFree;i++) fprintf(ptf,"%0.16e \n",epsoptAll[i]); fclose(ptf); PetscPrintf(PETSC_COMM_WORLD,"the t parameter is %.8e \n",epsoptAll[DegFreeAll-1]); } } nlopt_destroy(opt); } ierr = PetscPrintf(PETSC_COMM_WORLD,"--------Done!--------\n ");CHKERRQ(ierr); /*------------------------------------*/ /* ----------------------Destroy Vecs and Mats----------------------------*/ free(epsoptAll); free(lb); free(ub); ierr = VecDestroy(&J); CHKERRQ(ierr); ierr = VecDestroy(&b); CHKERRQ(ierr); ierr = VecDestroy(&weight); CHKERRQ(ierr); ierr = VecDestroy(&weightedJ); CHKERRQ(ierr); ierr = VecDestroy(&vR); CHKERRQ(ierr); ierr = VecDestroy(&epspml); CHKERRQ(ierr); ierr = VecDestroy(&epspmlQ); CHKERRQ(ierr); ierr = VecDestroy(&epsSReal); CHKERRQ(ierr); ierr = VecDestroy(&epsgrad); CHKERRQ(ierr); ierr = VecDestroy(&vgrad); CHKERRQ(ierr); ierr = VecDestroy(&epsmedium); CHKERRQ(ierr); ierr = VecDestroy(&epsC); CHKERRQ(ierr); ierr = VecDestroy(&epsCi); CHKERRQ(ierr); ierr = VecDestroy(&epsP); CHKERRQ(ierr); ierr = VecDestroy(&x); CHKERRQ(ierr); ierr = VecDestroy(&vgradlocal);CHKERRQ(ierr); ierr = VecDestroy(&tmp); CHKERRQ(ierr); ierr = VecDestroy(&tmpa); CHKERRQ(ierr); ierr = VecDestroy(&tmpb); CHKERRQ(ierr); ierr = MatDestroy(&A); CHKERRQ(ierr); ierr = MatDestroy(&D); CHKERRQ(ierr); ierr = MatDestroy(&M); CHKERRQ(ierr); ierr = VecDestroy(&epscoefone); CHKERRQ(ierr); ierr = VecDestroy(&epscoeftwo); CHKERRQ(ierr); ierr = KSPDestroy(&kspone);CHKERRQ(ierr); ierr = KSPDestroy(&ksptwo);CHKERRQ(ierr); ISDestroy(&from); ISDestroy(&to); if (withepsinldos) {ierr=VecDestroy(&pickposvec); CHKERRQ(ierr);} if (lrzsqr) { ierr=VecDestroy(&epsFReal); CHKERRQ(ierr); ierr=VecDestroy(&xsqr); CHKERRQ(ierr); ierr=VecDestroy(&y); CHKERRQ(ierr); ierr=VecDestroy(&nb); CHKERRQ(ierr); ierr=MatDestroy(&C); CHKERRQ(ierr); } ierr = VecDestroy(&bone); CHKERRQ(ierr); ierr = VecDestroy(&btwo); CHKERRQ(ierr); ierr = VecDestroy(&Jtwo); CHKERRQ(ierr); /*------------ finalize the program -------------*/ { int rank; MPI_Comm_rank(PETSC_COMM_WORLD, &rank); //if (rank == 0) fgetc(stdin); MPI_Barrier(PETSC_COMM_WORLD); } ierr = PetscFinalize(); CHKERRQ(ierr); return 0; }
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]) { unsigned n; double *x, *x0, opt_f; nlopt_result ret; mxArray *x_mx, *mx; user_function_data d, dpre, *dfc = NULL, *dh = NULL; nlopt_opt opt = NULL; CHECK(nrhs == 2 && nlhs <= 3, "wrong number of arguments"); /* options = prhs[0] */ CHECK(mxIsStruct(prhs[0]), "opt must be a struct"); /* x0 = prhs[1] */ CHECK(mxIsDouble(prhs[1]) && !mxIsComplex(prhs[1]) && (mxGetM(prhs[1]) == 1 || mxGetN(prhs[1]) == 1), "x must be real row or column vector"); n = mxGetM(prhs[1]) * mxGetN(prhs[1]), x0 = mxGetPr(prhs[1]); CHECK(opt = make_opt(prhs[0], n), "error initializing nlopt options"); d.neval = 0; d.verbose = (int) struct_val_default(prhs[0], "verbose", 0); d.opt = opt; /* function f = prhs[1] */ mx = struct_funcval(prhs[0], "min_objective"); if (!mx) mx = struct_funcval(prhs[0], "max_objective"); CHECK(mx, "either opt.min_objective or opt.max_objective must exist"); if (mxIsChar(mx)) { CHECK(mxGetString(mx, d.f, FLEN) == 0, "error reading function name string (too long?)"); d.nrhs = 1; d.xrhs = 0; } else { d.prhs[0] = mx; strcpy(d.f, "feval"); d.nrhs = 2; d.xrhs = 1; } d.prhs[d.xrhs] = mxCreateDoubleMatrix(1, n, mxREAL); if ((mx = struct_funcval(prhs[0], "pre"))) { CHECK(mxIsChar(mx) || mxIsFunctionHandle(mx), "pre must contain function handles or function names"); if (mxIsChar(mx)) { CHECK(mxGetString(mx, dpre.f, FLEN) == 0, "error reading function name string (too long?)"); dpre.nrhs = 2; dpre.xrhs = 0; } else { dpre.prhs[0] = mx; strcpy(dpre.f, "feval"); dpre.nrhs = 3; dpre.xrhs = 1; } dpre.verbose = d.verbose > 2; dpre.opt = opt; dpre.neval = 0; dpre.prhs[dpre.xrhs] = d.prhs[d.xrhs]; dpre.prhs[d.xrhs+1] = mxCreateDoubleMatrix(1, n, mxREAL); d.dpre = &dpre; if (struct_funcval(prhs[0], "min_objective")) nlopt_set_precond_min_objective(opt, user_function,user_pre,&d); else nlopt_set_precond_max_objective(opt, user_function,user_pre,&d); } else { dpre.nrhs = 0; if (struct_funcval(prhs[0], "min_objective")) nlopt_set_min_objective(opt, user_function, &d); else nlopt_set_max_objective(opt, user_function, &d); } if ((mx = mxGetField(prhs[0], 0, "fc"))) { int j, m; double *fc_tol; CHECK(mxIsCell(mx), "fc must be a Cell array"); m = mxGetM(mx) * mxGetN(mx);; dfc = (user_function_data *) mxCalloc(m, sizeof(user_function_data)); fc_tol = struct_arrval(prhs[0], "fc_tol", m, NULL); for (j = 0; j < m; ++j) { mxArray *fc = mxGetCell(mx, j); CHECK(mxIsChar(fc) || mxIsFunctionHandle(fc), "fc must contain function handles or function names"); if (mxIsChar(fc)) { CHECK(mxGetString(fc, dfc[j].f, FLEN) == 0, "error reading function name string (too long?)"); dfc[j].nrhs = 1; dfc[j].xrhs = 0; } else { dfc[j].prhs[0] = fc; strcpy(dfc[j].f, "feval"); dfc[j].nrhs = 2; dfc[j].xrhs = 1; } dfc[j].verbose = d.verbose > 1; dfc[j].opt = opt; dfc[j].neval = 0; dfc[j].prhs[dfc[j].xrhs] = d.prhs[d.xrhs]; CHECK(nlopt_add_inequality_constraint(opt, user_function, dfc + j, fc_tol ? fc_tol[j] : 0) > 0, "nlopt error adding inequality constraint"); } } if ((mx = mxGetField(prhs[0], 0, "h"))) { int j, m; double *h_tol; CHECK(mxIsCell(mx), "h must be a Cell array"); m = mxGetM(mx) * mxGetN(mx);; dh = (user_function_data *) mxCalloc(m, sizeof(user_function_data)); h_tol = struct_arrval(prhs[0], "h_tol", m, NULL); for (j = 0; j < m; ++j) { mxArray *h = mxGetCell(mx, j); CHECK(mxIsChar(h) || mxIsFunctionHandle(h), "h must contain function handles or function names"); if (mxIsChar(h)) { CHECK(mxGetString(h, dh[j].f, FLEN) == 0, "error reading function name string (too long?)"); dh[j].nrhs = 1; dh[j].xrhs = 0; } else { dh[j].prhs[0] = h; strcpy(dh[j].f, "feval"); dh[j].nrhs = 2; dh[j].xrhs = 1; } dh[j].verbose = d.verbose > 1; dh[j].opt = opt; dh[j].neval = 0; dh[j].prhs[dh[j].xrhs] = d.prhs[d.xrhs]; CHECK(nlopt_add_equality_constraint(opt, user_function, dh + j, h_tol ? h_tol[j] : 0) > 0, "nlopt error adding equality constraint"); } } x_mx = mxCreateDoubleMatrix(mxGetM(prhs[1]), mxGetN(prhs[1]), mxREAL); x = mxGetPr(x_mx); memcpy(x, x0, sizeof(double) * n); ret = nlopt_optimize(opt, x, &opt_f); mxFree(dh); mxFree(dfc); mxDestroyArray(d.prhs[d.xrhs]); if (dpre.nrhs > 0) mxDestroyArray(dpre.prhs[d.xrhs+1]); nlopt_destroy(opt); plhs[0] = x_mx; if (nlhs > 1) { plhs[1] = mxCreateDoubleMatrix(1, 1, mxREAL); *(mxGetPr(plhs[1])) = opt_f; } if (nlhs > 2) { plhs[2] = mxCreateDoubleMatrix(1, 1, mxREAL); *(mxGetPr(plhs[2])) = (int) ret; } }