xref: /petsc/src/snes/impls/vi/ss/viss.c (revision d5f1b7e6c739d316e8d83819c5a09de0e8da5a99)
1c2fc9fa9SBarry Smith 
2c2fc9fa9SBarry Smith #include <../src/snes/impls/vi/ss/vissimpl.h> /*I "petscsnes.h" I*/
3b45d2f2cSJed Brown #include <../include/petsc-private/kspimpl.h>
4b45d2f2cSJed Brown #include <../include/petsc-private/matimpl.h>
5b45d2f2cSJed Brown #include <../include/petsc-private/dmimpl.h>
6c2fc9fa9SBarry Smith 
7c2fc9fa9SBarry Smith 
8c2fc9fa9SBarry Smith /*
9c2fc9fa9SBarry Smith   SNESVIComputeMeritFunction - Evaluates the merit function for the mixed complementarity problem.
10c2fc9fa9SBarry Smith 
11c2fc9fa9SBarry Smith   Input Parameter:
12c2fc9fa9SBarry Smith . phi - the semismooth function
13c2fc9fa9SBarry Smith 
14c2fc9fa9SBarry Smith   Output Parameter:
15c2fc9fa9SBarry Smith . merit - the merit function
16c2fc9fa9SBarry Smith . phinorm - ||phi||
17c2fc9fa9SBarry Smith 
18c2fc9fa9SBarry Smith   Notes:
19c2fc9fa9SBarry Smith   The merit function for the mixed complementarity problem is defined as
20c2fc9fa9SBarry Smith      merit = 0.5*phi^T*phi
21c2fc9fa9SBarry Smith */
22c2fc9fa9SBarry Smith #undef __FUNCT__
23c2fc9fa9SBarry Smith #define __FUNCT__ "SNESVIComputeMeritFunction"
24c2fc9fa9SBarry Smith static PetscErrorCode SNESVIComputeMeritFunction(Vec phi, PetscReal *merit,PetscReal *phinorm)
25c2fc9fa9SBarry Smith {
26c2fc9fa9SBarry Smith   PetscErrorCode ierr;
27c2fc9fa9SBarry Smith 
28c2fc9fa9SBarry Smith   PetscFunctionBegin;
29c2fc9fa9SBarry Smith   ierr = VecNormBegin(phi,NORM_2,phinorm);CHKERRQ(ierr);
30c2fc9fa9SBarry Smith   ierr = VecNormEnd(phi,NORM_2,phinorm);CHKERRQ(ierr);
31c2fc9fa9SBarry Smith 
32c2fc9fa9SBarry Smith   *merit = 0.5*(*phinorm)*(*phinorm);
33c2fc9fa9SBarry Smith   PetscFunctionReturn(0);
34c2fc9fa9SBarry Smith }
35c2fc9fa9SBarry Smith 
36c2fc9fa9SBarry Smith PETSC_STATIC_INLINE PetscScalar Phi(PetscScalar a,PetscScalar b)
37c2fc9fa9SBarry Smith {
38c2fc9fa9SBarry Smith   return a + b - PetscSqrtScalar(a*a + b*b);
39c2fc9fa9SBarry Smith }
40c2fc9fa9SBarry Smith 
41c2fc9fa9SBarry Smith PETSC_STATIC_INLINE PetscScalar DPhi(PetscScalar a,PetscScalar b)
42c2fc9fa9SBarry Smith {
43c2fc9fa9SBarry Smith   if ((PetscAbsScalar(a) >= 1.e-6) || (PetscAbsScalar(b) >= 1.e-6)) return 1.0 - a/ PetscSqrtScalar(a*a + b*b);
44c2fc9fa9SBarry Smith   else return .5;
45c2fc9fa9SBarry Smith }
46c2fc9fa9SBarry Smith 
47c2fc9fa9SBarry Smith /*
48c2fc9fa9SBarry Smith    SNESVIComputeFunction - Reformulates a system of nonlinear equations in mixed complementarity form to a system of nonlinear equations in semismooth form.
49c2fc9fa9SBarry Smith 
50c2fc9fa9SBarry Smith    Input Parameters:
51c2fc9fa9SBarry Smith .  snes - the SNES context
52*d5f1b7e6SEd Bueler .  X - current iterate
53c2fc9fa9SBarry Smith .  functx - user defined function context
54c2fc9fa9SBarry Smith 
55c2fc9fa9SBarry Smith    Output Parameters:
56c2fc9fa9SBarry Smith .  phi - Semismooth function
57c2fc9fa9SBarry Smith 
58c2fc9fa9SBarry Smith */
59c2fc9fa9SBarry Smith #undef __FUNCT__
60c2fc9fa9SBarry Smith #define __FUNCT__ "SNESVIComputeFunction"
61c2fc9fa9SBarry Smith static PetscErrorCode SNESVIComputeFunction(SNES snes,Vec X,Vec phi,void *functx)
62c2fc9fa9SBarry Smith {
63c2fc9fa9SBarry Smith   PetscErrorCode    ierr;
64f450aa47SBarry Smith   SNES_VINEWTONSSLS *vi = (SNES_VINEWTONSSLS*)snes->data;
65c2fc9fa9SBarry Smith   Vec               Xl  = snes->xl,Xu = snes->xu,F = snes->vec_func;
665edff71fSBarry Smith   PetscScalar       *phi_arr,*f_arr,*l,*u;
675edff71fSBarry Smith   const PetscScalar *x_arr;
68c2fc9fa9SBarry Smith   PetscInt          i,nlocal;
69c2fc9fa9SBarry Smith 
70c2fc9fa9SBarry Smith   PetscFunctionBegin;
71c2fc9fa9SBarry Smith   ierr = (*vi->computeuserfunction)(snes,X,F,functx);CHKERRQ(ierr);
72c2fc9fa9SBarry Smith   ierr = VecGetLocalSize(X,&nlocal);CHKERRQ(ierr);
735edff71fSBarry Smith   ierr = VecGetArrayRead(X,&x_arr);CHKERRQ(ierr);
74c2fc9fa9SBarry Smith   ierr = VecGetArray(F,&f_arr);CHKERRQ(ierr);
75c2fc9fa9SBarry Smith   ierr = VecGetArray(Xl,&l);CHKERRQ(ierr);
76c2fc9fa9SBarry Smith   ierr = VecGetArray(Xu,&u);CHKERRQ(ierr);
77c2fc9fa9SBarry Smith   ierr = VecGetArray(phi,&phi_arr);CHKERRQ(ierr);
78c2fc9fa9SBarry Smith 
79c2fc9fa9SBarry Smith   for (i=0; i < nlocal; i++) {
80e270355aSBarry Smith     if ((PetscRealPart(l[i]) <= PETSC_NINFINITY) && (PetscRealPart(u[i]) >= PETSC_INFINITY)) { /* no constraints on variable */
81c2fc9fa9SBarry Smith       phi_arr[i] = f_arr[i];
82e270355aSBarry Smith     } else if (PetscRealPart(l[i]) <= PETSC_NINFINITY) {                      /* upper bound on variable only */
83c2fc9fa9SBarry Smith       phi_arr[i] = -Phi(u[i] - x_arr[i],-f_arr[i]);
84e270355aSBarry Smith     } else if (PetscRealPart(u[i]) >= PETSC_INFINITY) {                       /* lower bound on variable only */
85c2fc9fa9SBarry Smith       phi_arr[i] = Phi(x_arr[i] - l[i],f_arr[i]);
86c2fc9fa9SBarry Smith     } else if (l[i] == u[i]) {
87c2fc9fa9SBarry Smith       phi_arr[i] = l[i] - x_arr[i];
88c2fc9fa9SBarry Smith     } else {                                                /* both bounds on variable */
89c2fc9fa9SBarry Smith       phi_arr[i] = Phi(x_arr[i] - l[i],-Phi(u[i] - x_arr[i],-f_arr[i]));
90c2fc9fa9SBarry Smith     }
91c2fc9fa9SBarry Smith   }
92c2fc9fa9SBarry Smith 
935edff71fSBarry Smith   ierr = VecRestoreArrayRead(X,&x_arr);CHKERRQ(ierr);
94c2fc9fa9SBarry Smith   ierr = VecRestoreArray(F,&f_arr);CHKERRQ(ierr);
95c2fc9fa9SBarry Smith   ierr = VecRestoreArray(Xl,&l);CHKERRQ(ierr);
96c2fc9fa9SBarry Smith   ierr = VecRestoreArray(Xu,&u);CHKERRQ(ierr);
97c2fc9fa9SBarry Smith   ierr = VecRestoreArray(phi,&phi_arr);CHKERRQ(ierr);
98c2fc9fa9SBarry Smith   PetscFunctionReturn(0);
99c2fc9fa9SBarry Smith }
100c2fc9fa9SBarry Smith 
101c2fc9fa9SBarry Smith /*
102c2fc9fa9SBarry Smith    SNESVIComputeBsubdifferentialVectors - Computes the diagonal shift (Da) and row scaling (Db) vectors needed for the
103c2fc9fa9SBarry Smith                                           the semismooth jacobian.
104c2fc9fa9SBarry Smith */
105c2fc9fa9SBarry Smith #undef __FUNCT__
106c2fc9fa9SBarry Smith #define __FUNCT__ "SNESVIComputeBsubdifferentialVectors"
107c2fc9fa9SBarry Smith PetscErrorCode SNESVIComputeBsubdifferentialVectors(SNES snes,Vec X,Vec F,Mat jac,Vec Da,Vec Db)
108c2fc9fa9SBarry Smith {
109c2fc9fa9SBarry Smith   PetscErrorCode ierr;
110c2fc9fa9SBarry Smith   PetscScalar    *l,*u,*x,*f,*da,*db,da1,da2,db1,db2;
111c2fc9fa9SBarry Smith   PetscInt       i,nlocal;
112c2fc9fa9SBarry Smith 
113c2fc9fa9SBarry Smith   PetscFunctionBegin;
114c2fc9fa9SBarry Smith   ierr = VecGetArray(X,&x);CHKERRQ(ierr);
115c2fc9fa9SBarry Smith   ierr = VecGetArray(F,&f);CHKERRQ(ierr);
116c2fc9fa9SBarry Smith   ierr = VecGetArray(snes->xl,&l);CHKERRQ(ierr);
117c2fc9fa9SBarry Smith   ierr = VecGetArray(snes->xu,&u);CHKERRQ(ierr);
118c2fc9fa9SBarry Smith   ierr = VecGetArray(Da,&da);CHKERRQ(ierr);
119c2fc9fa9SBarry Smith   ierr = VecGetArray(Db,&db);CHKERRQ(ierr);
120c2fc9fa9SBarry Smith   ierr = VecGetLocalSize(X,&nlocal);CHKERRQ(ierr);
121c2fc9fa9SBarry Smith 
122c2fc9fa9SBarry Smith   for (i=0; i< nlocal; i++) {
123e270355aSBarry Smith     if ((PetscRealPart(l[i]) <= PETSC_NINFINITY) && (PetscRealPart(u[i]) >= PETSC_INFINITY)) { /* no constraints on variable */
124c2fc9fa9SBarry Smith       da[i] = 0;
125c2fc9fa9SBarry Smith       db[i] = 1;
126e270355aSBarry Smith     } else if (PetscRealPart(l[i]) <= PETSC_NINFINITY) {                     /* upper bound on variable only */
127c2fc9fa9SBarry Smith       da[i] = DPhi(u[i] - x[i], -f[i]);
128c2fc9fa9SBarry Smith       db[i] = DPhi(-f[i],u[i] - x[i]);
129e270355aSBarry Smith     } else if (PetscRealPart(u[i]) >= PETSC_INFINITY) {                      /* lower bound on variable only */
130c2fc9fa9SBarry Smith       da[i] = DPhi(x[i] - l[i], f[i]);
131c2fc9fa9SBarry Smith       db[i] = DPhi(f[i],x[i] - l[i]);
132c2fc9fa9SBarry Smith     } else if (l[i] == u[i]) {                              /* fixed variable */
133c2fc9fa9SBarry Smith       da[i] = 1;
134c2fc9fa9SBarry Smith       db[i] = 0;
135c2fc9fa9SBarry Smith     } else {                                                /* upper and lower bounds on variable */
136c2fc9fa9SBarry Smith       da1   = DPhi(x[i] - l[i], -Phi(u[i] - x[i], -f[i]));
137c2fc9fa9SBarry Smith       db1   = DPhi(-Phi(u[i] - x[i], -f[i]),x[i] - l[i]);
138c2fc9fa9SBarry Smith       da2   = DPhi(u[i] - x[i], -f[i]);
139c2fc9fa9SBarry Smith       db2   = DPhi(-f[i],u[i] - x[i]);
140c2fc9fa9SBarry Smith       da[i] = da1 + db1*da2;
141c2fc9fa9SBarry Smith       db[i] = db1*db2;
142c2fc9fa9SBarry Smith     }
143c2fc9fa9SBarry Smith   }
144c2fc9fa9SBarry Smith 
145c2fc9fa9SBarry Smith   ierr = VecRestoreArray(X,&x);CHKERRQ(ierr);
146c2fc9fa9SBarry Smith   ierr = VecRestoreArray(F,&f);CHKERRQ(ierr);
147c2fc9fa9SBarry Smith   ierr = VecRestoreArray(snes->xl,&l);CHKERRQ(ierr);
148c2fc9fa9SBarry Smith   ierr = VecRestoreArray(snes->xu,&u);CHKERRQ(ierr);
149c2fc9fa9SBarry Smith   ierr = VecRestoreArray(Da,&da);CHKERRQ(ierr);
150c2fc9fa9SBarry Smith   ierr = VecRestoreArray(Db,&db);CHKERRQ(ierr);
151c2fc9fa9SBarry Smith   PetscFunctionReturn(0);
152c2fc9fa9SBarry Smith }
153c2fc9fa9SBarry Smith 
154c2fc9fa9SBarry Smith /*
155c2fc9fa9SBarry Smith    SNESVIComputeJacobian - Computes the jacobian of the semismooth function.The Jacobian for the semismooth function is an element of the B-subdifferential of the Fischer-Burmeister function for complementarity problems.
156c2fc9fa9SBarry Smith 
157c2fc9fa9SBarry Smith    Input Parameters:
158c2fc9fa9SBarry Smith .  Da       - Diagonal shift vector for the semismooth jacobian.
159c2fc9fa9SBarry Smith .  Db       - Row scaling vector for the semismooth jacobian.
160c2fc9fa9SBarry Smith 
161c2fc9fa9SBarry Smith    Output Parameters:
162c2fc9fa9SBarry Smith .  jac      - semismooth jacobian
163c2fc9fa9SBarry Smith .  jac_pre  - optional preconditioning matrix
164c2fc9fa9SBarry Smith 
165c2fc9fa9SBarry Smith    Notes:
166c2fc9fa9SBarry Smith    The semismooth jacobian matrix is given by
167c2fc9fa9SBarry Smith    jac = Da + Db*jacfun
168c2fc9fa9SBarry Smith    where Db is the row scaling matrix stored as a vector,
169c2fc9fa9SBarry Smith          Da is the diagonal perturbation matrix stored as a vector
170c2fc9fa9SBarry Smith    and   jacfun is the jacobian of the original nonlinear function.
171c2fc9fa9SBarry Smith */
172c2fc9fa9SBarry Smith #undef __FUNCT__
173c2fc9fa9SBarry Smith #define __FUNCT__ "SNESVIComputeJacobian"
174c2fc9fa9SBarry Smith PetscErrorCode SNESVIComputeJacobian(Mat jac, Mat jac_pre,Vec Da, Vec Db)
175c2fc9fa9SBarry Smith {
176c2fc9fa9SBarry Smith   PetscErrorCode ierr;
177c2fc9fa9SBarry Smith 
178c2fc9fa9SBarry Smith   /* Do row scaling  and add diagonal perturbation */
1790298fd71SBarry Smith   ierr = MatDiagonalScale(jac,Db,NULL);CHKERRQ(ierr);
180c2fc9fa9SBarry Smith   ierr = MatDiagonalSet(jac,Da,ADD_VALUES);CHKERRQ(ierr);
181c2fc9fa9SBarry Smith   if (jac != jac_pre) { /* If jac and jac_pre are different */
1820298fd71SBarry Smith     ierr = MatDiagonalScale(jac_pre,Db,NULL);CHKERRQ(ierr);
183c2fc9fa9SBarry Smith     ierr = MatDiagonalSet(jac_pre,Da,ADD_VALUES);CHKERRQ(ierr);
184c2fc9fa9SBarry Smith   }
185c2fc9fa9SBarry Smith   PetscFunctionReturn(0);
186c2fc9fa9SBarry Smith }
187c2fc9fa9SBarry Smith 
188c2fc9fa9SBarry Smith /*
189c2fc9fa9SBarry Smith    SNESVIComputeMeritFunctionGradient - Computes the gradient of the merit function psi.
190c2fc9fa9SBarry Smith 
191c2fc9fa9SBarry Smith    Input Parameters:
192c2fc9fa9SBarry Smith    phi - semismooth function.
193c2fc9fa9SBarry Smith    H   - semismooth jacobian
194c2fc9fa9SBarry Smith 
195c2fc9fa9SBarry Smith    Output Parameters:
196c2fc9fa9SBarry Smith    dpsi - merit function gradient
197c2fc9fa9SBarry Smith 
198c2fc9fa9SBarry Smith    Notes:
199c2fc9fa9SBarry Smith   The merit function gradient is computed as follows
200c2fc9fa9SBarry Smith         dpsi = H^T*phi
201c2fc9fa9SBarry Smith */
202c2fc9fa9SBarry Smith #undef __FUNCT__
203c2fc9fa9SBarry Smith #define __FUNCT__ "SNESVIComputeMeritFunctionGradient"
204c2fc9fa9SBarry Smith PetscErrorCode SNESVIComputeMeritFunctionGradient(Mat H, Vec phi, Vec dpsi)
205c2fc9fa9SBarry Smith {
206c2fc9fa9SBarry Smith   PetscErrorCode ierr;
207c2fc9fa9SBarry Smith 
208c2fc9fa9SBarry Smith   PetscFunctionBegin;
209c2fc9fa9SBarry Smith   ierr = MatMultTranspose(H,phi,dpsi);CHKERRQ(ierr);
210c2fc9fa9SBarry Smith   PetscFunctionReturn(0);
211c2fc9fa9SBarry Smith }
212c2fc9fa9SBarry Smith 
213c2fc9fa9SBarry Smith 
214c2fc9fa9SBarry Smith 
215c2fc9fa9SBarry Smith /*
216f450aa47SBarry Smith    SNESSolve_VINEWTONSSLS - Solves the complementarity problem with a semismooth Newton
217c2fc9fa9SBarry Smith    method using a line search.
218c2fc9fa9SBarry Smith 
219c2fc9fa9SBarry Smith    Input Parameters:
220c2fc9fa9SBarry Smith .  snes - the SNES context
221c2fc9fa9SBarry Smith 
222c2fc9fa9SBarry Smith    Application Interface Routine: SNESSolve()
223c2fc9fa9SBarry Smith 
224c2fc9fa9SBarry Smith    Notes:
225c2fc9fa9SBarry Smith    This implements essentially a semismooth Newton method with a
226*d5f1b7e6SEd Bueler    line search. The default line search does not do any line search
227*d5f1b7e6SEd Bueler    but rather takes a full Newton step.
228016d19f9SBarry Smith 
22904d7464bSBarry Smith    Developer Note: the code in this file should be slightly modified so that this routine need not exist and the SNESSolve_NEWTONLS() routine is called directly with the appropriate wrapped function and Jacobian evaluations
230016d19f9SBarry Smith 
231c2fc9fa9SBarry Smith */
232c2fc9fa9SBarry Smith #undef __FUNCT__
233f450aa47SBarry Smith #define __FUNCT__ "SNESSolve_VINEWTONSSLS"
234f450aa47SBarry Smith PetscErrorCode SNESSolve_VINEWTONSSLS(SNES snes)
235c2fc9fa9SBarry Smith {
236f450aa47SBarry Smith   SNES_VINEWTONSSLS  *vi = (SNES_VINEWTONSSLS*)snes->data;
237c2fc9fa9SBarry Smith   PetscErrorCode     ierr;
238c2fc9fa9SBarry Smith   PetscInt           maxits,i,lits;
239c2fc9fa9SBarry Smith   PetscBool          lssucceed;
240c2fc9fa9SBarry Smith   PetscReal          gnorm,xnorm=0,ynorm;
2419bd66eb0SPeter Brune   Vec                Y,X,F;
242c2fc9fa9SBarry Smith   KSPConvergedReason kspreason;
2436cab3a1bSJed Brown   DM                 dm;
244942e3340SBarry Smith   DMSNES             sdm;
245c2fc9fa9SBarry Smith 
246c2fc9fa9SBarry Smith   PetscFunctionBegin;
2476cab3a1bSJed Brown   ierr = SNESGetDM(snes,&dm);CHKERRQ(ierr);
248942e3340SBarry Smith   ierr = DMGetDMSNES(dm,&sdm);CHKERRQ(ierr);
2491aa26658SKarl Rupp 
25022c6f798SBarry Smith   vi->computeuserfunction   = sdm->ops->computefunction;
25122c6f798SBarry Smith   sdm->ops->computefunction = SNESVIComputeFunction;
252c2fc9fa9SBarry Smith 
253c2fc9fa9SBarry Smith   snes->numFailures            = 0;
254c2fc9fa9SBarry Smith   snes->numLinearSolveFailures = 0;
255c2fc9fa9SBarry Smith   snes->reason                 = SNES_CONVERGED_ITERATING;
256c2fc9fa9SBarry Smith 
257c2fc9fa9SBarry Smith   maxits = snes->max_its;               /* maximum number of iterations */
258c2fc9fa9SBarry Smith   X      = snes->vec_sol;               /* solution vector */
259c2fc9fa9SBarry Smith   F      = snes->vec_func;              /* residual vector */
260c2fc9fa9SBarry Smith   Y      = snes->work[0];               /* work vectors */
261c2fc9fa9SBarry Smith 
262e04113cfSBarry Smith   ierr       = PetscObjectSAWsTakeAccess((PetscObject)snes);CHKERRQ(ierr);
263c2fc9fa9SBarry Smith   snes->iter = 0;
264c2fc9fa9SBarry Smith   snes->norm = 0.0;
265e04113cfSBarry Smith   ierr       = PetscObjectSAWsGrantAccess((PetscObject)snes);CHKERRQ(ierr);
266c2fc9fa9SBarry Smith 
267c2fc9fa9SBarry Smith   ierr = SNESVIProjectOntoBounds(snes,X);CHKERRQ(ierr);
268c2fc9fa9SBarry Smith   ierr = SNESComputeFunction(snes,X,vi->phi);CHKERRQ(ierr);
269c2fc9fa9SBarry Smith   if (snes->domainerror) {
270c2fc9fa9SBarry Smith     snes->reason              = SNES_DIVERGED_FUNCTION_DOMAIN;
27122c6f798SBarry Smith     sdm->ops->computefunction = vi->computeuserfunction;
272c2fc9fa9SBarry Smith     PetscFunctionReturn(0);
273c2fc9fa9SBarry Smith   }
274c2fc9fa9SBarry Smith   /* Compute Merit function */
275c2fc9fa9SBarry Smith   ierr = SNESVIComputeMeritFunction(vi->phi,&vi->merit,&vi->phinorm);CHKERRQ(ierr);
276c2fc9fa9SBarry Smith 
277c2fc9fa9SBarry Smith   ierr = VecNormBegin(X,NORM_2,&xnorm);CHKERRQ(ierr);        /* xnorm <- ||x||  */
278c2fc9fa9SBarry Smith   ierr = VecNormEnd(X,NORM_2,&xnorm);CHKERRQ(ierr);
279c2fc9fa9SBarry Smith   if (PetscIsInfOrNanReal(vi->merit)) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FP,"User provided compute function generated a Not-a-Number");
280c2fc9fa9SBarry Smith 
281e04113cfSBarry Smith   ierr       = PetscObjectSAWsTakeAccess((PetscObject)snes);CHKERRQ(ierr);
282c2fc9fa9SBarry Smith   snes->norm = vi->phinorm;
283e04113cfSBarry Smith   ierr       = PetscObjectSAWsGrantAccess((PetscObject)snes);CHKERRQ(ierr);
284a71f0d7dSBarry Smith   ierr       = SNESLogConvergenceHistory(snes,vi->phinorm,0);CHKERRQ(ierr);
285c2fc9fa9SBarry Smith   ierr       = SNESMonitor(snes,0,vi->phinorm);CHKERRQ(ierr);
286c2fc9fa9SBarry Smith 
287c2fc9fa9SBarry Smith   /* test convergence */
288c2fc9fa9SBarry Smith   ierr = (*snes->ops->converged)(snes,0,0.0,0.0,vi->phinorm,&snes->reason,snes->cnvP);CHKERRQ(ierr);
289c2fc9fa9SBarry Smith   if (snes->reason) {
29022c6f798SBarry Smith     sdm->ops->computefunction = vi->computeuserfunction;
291c2fc9fa9SBarry Smith     PetscFunctionReturn(0);
292c2fc9fa9SBarry Smith   }
293c2fc9fa9SBarry Smith 
294c2fc9fa9SBarry Smith   for (i=0; i<maxits; i++) {
295c2fc9fa9SBarry Smith 
296c2fc9fa9SBarry Smith     /* Call general purpose update function */
297c2fc9fa9SBarry Smith     if (snes->ops->update) {
298c2fc9fa9SBarry Smith       ierr = (*snes->ops->update)(snes, snes->iter);CHKERRQ(ierr);
299c2fc9fa9SBarry Smith     }
300c2fc9fa9SBarry Smith 
301c2fc9fa9SBarry Smith     /* Solve J Y = Phi, where J is the semismooth jacobian */
302b9600128SPeter Brune 
303b9600128SPeter Brune     /* Get the jacobian -- note that the function must be the original function for snes_fd and snes_fd_color to work for this*/
30422c6f798SBarry Smith     sdm->ops->computefunction = vi->computeuserfunction;
305d1e9a80fSBarry Smith     ierr                      = SNESComputeJacobian(snes,X,snes->jacobian,snes->jacobian_pre);CHKERRQ(ierr);
30622c6f798SBarry Smith     sdm->ops->computefunction = SNESVIComputeFunction;
307b9600128SPeter Brune 
308c2fc9fa9SBarry Smith     /* Get the diagonal shift and row scaling vectors */
309c2fc9fa9SBarry Smith     ierr = SNESVIComputeBsubdifferentialVectors(snes,X,F,snes->jacobian,vi->Da,vi->Db);CHKERRQ(ierr);
310c2fc9fa9SBarry Smith     /* Compute the semismooth jacobian */
311c2fc9fa9SBarry Smith     ierr = SNESVIComputeJacobian(snes->jacobian,snes->jacobian_pre,vi->Da,vi->Db);CHKERRQ(ierr);
312c2fc9fa9SBarry Smith     /* Compute the merit function gradient */
313c2fc9fa9SBarry Smith     ierr = SNESVIComputeMeritFunctionGradient(snes->jacobian,vi->phi,vi->dpsi);CHKERRQ(ierr);
31423ee1639SBarry Smith     ierr = KSPSetOperators(snes->ksp,snes->jacobian,snes->jacobian_pre);CHKERRQ(ierr);
315d4211eb9SBarry Smith     ierr = KSPSolve(snes->ksp,vi->phi,Y);CHKERRQ(ierr);
316c2fc9fa9SBarry Smith     ierr = KSPGetConvergedReason(snes->ksp,&kspreason);CHKERRQ(ierr);
317c2fc9fa9SBarry Smith 
318c2fc9fa9SBarry Smith     if (kspreason < 0) {
319c2fc9fa9SBarry Smith       if (++snes->numLinearSolveFailures >= snes->maxLinearSolveFailures) {
320c2fc9fa9SBarry Smith         ierr         = PetscInfo2(snes,"iter=%D, number linear solve failures %D greater than current SNES allowed, stopping solve\n",snes->iter,snes->numLinearSolveFailures);CHKERRQ(ierr);
321c2fc9fa9SBarry Smith         snes->reason = SNES_DIVERGED_LINEAR_SOLVE;
322c2fc9fa9SBarry Smith         break;
323c2fc9fa9SBarry Smith       }
324c2fc9fa9SBarry Smith     }
325c2fc9fa9SBarry Smith     ierr              = KSPGetIterationNumber(snes->ksp,&lits);CHKERRQ(ierr);
326c2fc9fa9SBarry Smith     snes->linear_its += lits;
327c2fc9fa9SBarry Smith     ierr              = PetscInfo2(snes,"iter=%D, linear solve iterations=%D\n",snes->iter,lits);CHKERRQ(ierr);
328c2fc9fa9SBarry Smith     /*
3296b2b7091SBarry Smith     if (snes->ops->precheck) {
330c2fc9fa9SBarry Smith       PetscBool changed_y = PETSC_FALSE;
3316b2b7091SBarry Smith       ierr = (*snes->ops->precheck)(snes,X,Y,snes->precheck,&changed_y);CHKERRQ(ierr);
332c2fc9fa9SBarry Smith     }
333c2fc9fa9SBarry Smith 
334c2fc9fa9SBarry Smith     if (PetscLogPrintInfo) {
335c2fc9fa9SBarry Smith       ierr = SNESVICheckResidual_Private(snes,snes->jacobian,F,Y,G,W);CHKERRQ(ierr);
336c2fc9fa9SBarry Smith     }
337c2fc9fa9SBarry Smith     */
338c2fc9fa9SBarry Smith     /* Compute a (scaled) negative update in the line search routine:
339c2fc9fa9SBarry Smith          Y <- X - lambda*Y
340c2fc9fa9SBarry Smith        and evaluate G = function(Y) (depends on the line search).
341c2fc9fa9SBarry Smith     */
342c2fc9fa9SBarry Smith     ierr  = VecCopy(Y,snes->vec_sol_update);CHKERRQ(ierr);
343c2fc9fa9SBarry Smith     ynorm = 1; gnorm = vi->phinorm;
344f1c6b773SPeter Brune     ierr = SNESLineSearchApply(snes->linesearch, X, vi->phi, &gnorm, Y);CHKERRQ(ierr);
3451d5421d6SJed Brown     ierr = SNESLineSearchGetSuccess(snes->linesearch, &lssucceed);CHKERRQ(ierr);
346f1c6b773SPeter Brune     ierr = SNESLineSearchGetNorms(snes->linesearch, &xnorm, &gnorm, &ynorm);CHKERRQ(ierr);
347c2fc9fa9SBarry Smith     ierr = PetscInfo4(snes,"fnorm=%18.16e, gnorm=%18.16e, ynorm=%18.16e, lssucceed=%d\n",(double)vi->phinorm,(double)gnorm,(double)ynorm,(int)lssucceed);CHKERRQ(ierr);
348c2fc9fa9SBarry Smith     if (snes->reason == SNES_DIVERGED_FUNCTION_COUNT) break;
349c2fc9fa9SBarry Smith     if (snes->domainerror) {
350c2fc9fa9SBarry Smith       snes->reason              = SNES_DIVERGED_FUNCTION_DOMAIN;
35122c6f798SBarry Smith       sdm->ops->computefunction = vi->computeuserfunction;
352c2fc9fa9SBarry Smith       PetscFunctionReturn(0);
353c2fc9fa9SBarry Smith     }
354c2fc9fa9SBarry Smith     if (!lssucceed) {
355c2fc9fa9SBarry Smith       if (++snes->numFailures >= snes->maxFailures) {
356c2fc9fa9SBarry Smith         PetscBool ismin;
357c2fc9fa9SBarry Smith         snes->reason = SNES_DIVERGED_LINE_SEARCH;
3589bd66eb0SPeter Brune         ierr         = SNESVICheckLocalMin_Private(snes,snes->jacobian,vi->phi,X,gnorm,&ismin);CHKERRQ(ierr);
359c2fc9fa9SBarry Smith         if (ismin) snes->reason = SNES_DIVERGED_LOCAL_MIN;
360c2fc9fa9SBarry Smith         break;
361c2fc9fa9SBarry Smith       }
362c2fc9fa9SBarry Smith     }
363c2fc9fa9SBarry Smith     /* Update function and solution vectors */
364c2fc9fa9SBarry Smith     vi->phinorm = gnorm;
365c2fc9fa9SBarry Smith     vi->merit   = 0.5*vi->phinorm*vi->phinorm;
366c2fc9fa9SBarry Smith     /* Monitor convergence */
367e04113cfSBarry Smith     ierr       = PetscObjectSAWsTakeAccess((PetscObject)snes);CHKERRQ(ierr);
368c2fc9fa9SBarry Smith     snes->iter = i+1;
369c2fc9fa9SBarry Smith     snes->norm = vi->phinorm;
370e04113cfSBarry Smith     ierr       = PetscObjectSAWsGrantAccess((PetscObject)snes);CHKERRQ(ierr);
371a71f0d7dSBarry Smith     ierr       = SNESLogConvergenceHistory(snes,snes->norm,lits);CHKERRQ(ierr);
372c2fc9fa9SBarry Smith     ierr       = SNESMonitor(snes,snes->iter,snes->norm);CHKERRQ(ierr);
373c2fc9fa9SBarry Smith     /* Test for convergence, xnorm = || X || */
374e2a6519dSDmitry Karpeev     if (snes->ops->converged != SNESConvergedSkip) { ierr = VecNorm(X,NORM_2,&xnorm);CHKERRQ(ierr); }
375c2fc9fa9SBarry Smith     ierr = (*snes->ops->converged)(snes,snes->iter,xnorm,ynorm,vi->phinorm,&snes->reason,snes->cnvP);CHKERRQ(ierr);
376c2fc9fa9SBarry Smith     if (snes->reason) break;
377c2fc9fa9SBarry Smith   }
378c2fc9fa9SBarry Smith   if (i == maxits) {
379c2fc9fa9SBarry Smith     ierr = PetscInfo1(snes,"Maximum number of iterations has been reached: %D\n",maxits);CHKERRQ(ierr);
380c2fc9fa9SBarry Smith     if (!snes->reason) snes->reason = SNES_DIVERGED_MAX_IT;
381c2fc9fa9SBarry Smith   }
38222c6f798SBarry Smith   sdm->ops->computefunction = vi->computeuserfunction;
383c2fc9fa9SBarry Smith   PetscFunctionReturn(0);
384c2fc9fa9SBarry Smith }
385c2fc9fa9SBarry Smith 
386c2fc9fa9SBarry Smith /* -------------------------------------------------------------------------- */
387c2fc9fa9SBarry Smith /*
388f450aa47SBarry Smith    SNESSetUp_VINEWTONSSLS - Sets up the internal data structures for the later use
389c2fc9fa9SBarry Smith    of the SNES nonlinear solver.
390c2fc9fa9SBarry Smith 
391c2fc9fa9SBarry Smith    Input Parameter:
392c2fc9fa9SBarry Smith .  snes - the SNES context
393c2fc9fa9SBarry Smith 
394c2fc9fa9SBarry Smith    Application Interface Routine: SNESSetUp()
395c2fc9fa9SBarry Smith 
396c2fc9fa9SBarry Smith    Notes:
397c2fc9fa9SBarry Smith    For basic use of the SNES solvers, the user need not explicitly call
398c2fc9fa9SBarry Smith    SNESSetUp(), since these actions will automatically occur during
399c2fc9fa9SBarry Smith    the call to SNESSolve().
400c2fc9fa9SBarry Smith  */
401c2fc9fa9SBarry Smith #undef __FUNCT__
402f450aa47SBarry Smith #define __FUNCT__ "SNESSetUp_VINEWTONSSLS"
403f450aa47SBarry Smith PetscErrorCode SNESSetUp_VINEWTONSSLS(SNES snes)
404c2fc9fa9SBarry Smith {
405c2fc9fa9SBarry Smith   PetscErrorCode    ierr;
406f450aa47SBarry Smith   SNES_VINEWTONSSLS *vi = (SNES_VINEWTONSSLS*) snes->data;
407c2fc9fa9SBarry Smith 
408c2fc9fa9SBarry Smith   PetscFunctionBegin;
409c2fc9fa9SBarry Smith   ierr = SNESSetUp_VI(snes);CHKERRQ(ierr);
410c2fc9fa9SBarry Smith   ierr = VecDuplicate(snes->vec_sol, &vi->dpsi);CHKERRQ(ierr);
411c2fc9fa9SBarry Smith   ierr = VecDuplicate(snes->vec_sol, &vi->phi);CHKERRQ(ierr);
412c2fc9fa9SBarry Smith   ierr = VecDuplicate(snes->vec_sol, &vi->Da);CHKERRQ(ierr);
413c2fc9fa9SBarry Smith   ierr = VecDuplicate(snes->vec_sol, &vi->Db);CHKERRQ(ierr);
414c2fc9fa9SBarry Smith   ierr = VecDuplicate(snes->vec_sol, &vi->z);CHKERRQ(ierr);
415c2fc9fa9SBarry Smith   ierr = VecDuplicate(snes->vec_sol, &vi->t);CHKERRQ(ierr);
416c2fc9fa9SBarry Smith   PetscFunctionReturn(0);
417c2fc9fa9SBarry Smith }
418c2fc9fa9SBarry Smith /* -------------------------------------------------------------------------- */
419c2fc9fa9SBarry Smith #undef __FUNCT__
420f450aa47SBarry Smith #define __FUNCT__ "SNESReset_VINEWTONSSLS"
421f450aa47SBarry Smith PetscErrorCode SNESReset_VINEWTONSSLS(SNES snes)
422c2fc9fa9SBarry Smith {
423f450aa47SBarry Smith   SNES_VINEWTONSSLS *vi = (SNES_VINEWTONSSLS*) snes->data;
424c2fc9fa9SBarry Smith   PetscErrorCode    ierr;
425c2fc9fa9SBarry Smith 
426c2fc9fa9SBarry Smith   PetscFunctionBegin;
427c2fc9fa9SBarry Smith   ierr = SNESReset_VI(snes);CHKERRQ(ierr);
428c2fc9fa9SBarry Smith   ierr = VecDestroy(&vi->dpsi);CHKERRQ(ierr);
429c2fc9fa9SBarry Smith   ierr = VecDestroy(&vi->phi);CHKERRQ(ierr);
430c2fc9fa9SBarry Smith   ierr = VecDestroy(&vi->Da);CHKERRQ(ierr);
431c2fc9fa9SBarry Smith   ierr = VecDestroy(&vi->Db);CHKERRQ(ierr);
432c2fc9fa9SBarry Smith   ierr = VecDestroy(&vi->z);CHKERRQ(ierr);
433c2fc9fa9SBarry Smith   ierr = VecDestroy(&vi->t);CHKERRQ(ierr);
434c2fc9fa9SBarry Smith   PetscFunctionReturn(0);
435c2fc9fa9SBarry Smith }
436c2fc9fa9SBarry Smith 
437c2fc9fa9SBarry Smith /* -------------------------------------------------------------------------- */
438c2fc9fa9SBarry Smith /*
439f450aa47SBarry Smith    SNESSetFromOptions_VINEWTONSSLS - Sets various parameters for the SNESVI method.
440c2fc9fa9SBarry Smith 
441c2fc9fa9SBarry Smith    Input Parameter:
442c2fc9fa9SBarry Smith .  snes - the SNES context
443c2fc9fa9SBarry Smith 
444c2fc9fa9SBarry Smith    Application Interface Routine: SNESSetFromOptions()
445c2fc9fa9SBarry Smith */
446c2fc9fa9SBarry Smith #undef __FUNCT__
447f450aa47SBarry Smith #define __FUNCT__ "SNESSetFromOptions_VINEWTONSSLS"
4488c34d3f5SBarry Smith static PetscErrorCode SNESSetFromOptions_VINEWTONSSLS(PetscOptions *PetscOptionsObject,SNES snes)
449c2fc9fa9SBarry Smith {
450c2fc9fa9SBarry Smith   PetscErrorCode ierr;
451f1c6b773SPeter Brune   SNESLineSearch linesearch;
452c2fc9fa9SBarry Smith 
453c2fc9fa9SBarry Smith   PetscFunctionBegin;
454e55864a3SBarry Smith   ierr = SNESSetFromOptions_VI(PetscOptionsObject,snes);CHKERRQ(ierr);
455e55864a3SBarry Smith   ierr = PetscOptionsHead(PetscOptionsObject,"SNES semismooth method options");CHKERRQ(ierr);
456c2fc9fa9SBarry Smith   ierr = PetscOptionsTail();CHKERRQ(ierr);
4579bd66eb0SPeter Brune   /* set up the default line search */
4589bd66eb0SPeter Brune   if (!snes->linesearch) {
4597601faf0SJed Brown     ierr = SNESGetLineSearch(snes, &linesearch);CHKERRQ(ierr);
4601a4f838cSPeter Brune     ierr = SNESLineSearchSetType(linesearch, SNESLINESEARCHBT);CHKERRQ(ierr);
461639ea3faSPeter Brune     ierr = SNESLineSearchBTSetAlpha(linesearch, 0.0);CHKERRQ(ierr);
4629bd66eb0SPeter Brune   }
463c2fc9fa9SBarry Smith   PetscFunctionReturn(0);
464c2fc9fa9SBarry Smith }
465c2fc9fa9SBarry Smith 
466c2fc9fa9SBarry Smith 
467c2fc9fa9SBarry Smith /* -------------------------------------------------------------------------- */
468c2fc9fa9SBarry Smith /*MC
469f450aa47SBarry Smith       SNESVINEWTONSSLS - Semi-smooth solver for variational inequalities based on Newton's method
470c2fc9fa9SBarry Smith 
47161589011SJed Brown    Options Database:
472*d5f1b7e6SEd Bueler +   -snes_type <vinewtonssls,vinewtonrsls> a semi-smooth solver, a reduced space active set method
47361589011SJed Brown -   -snes_vi_monitor - prints the number of active constraints at each iteration.
47461589011SJed Brown 
475c2fc9fa9SBarry Smith    Level: beginner
476c2fc9fa9SBarry Smith 
477b80f3ac1SShri Abhyankar    References:
478b80f3ac1SShri Abhyankar    - T. S. Munson, F. Facchinei, M. C. Ferris, A. Fischer, and C. Kanzow. The semismooth
479b80f3ac1SShri Abhyankar      algorithm for large scale complementarity problems. INFORMS Journal on Computing, 13 (2001).
480*d5f1b7e6SEd Bueler    - T. S. Munson, and S. Benson. Flexible Complementarity Solvers for Large-Scale
481*d5f1b7e6SEd Bueler      Applications, Optimization Methods and Software, 21 (2006).
482b80f3ac1SShri Abhyankar 
483*d5f1b7e6SEd Bueler .seealso:  SNESVISetVariableBounds(), SNESVISetComputeVariableBounds(), SNESCreate(), SNES, SNESSetType(), SNESVINEWTONRSLS, SNESNEWTONTR, SNESLineSearchSet(),SNESLineSearchSetPostCheck(), SNESLineSearchSetPreCheck()
484c2fc9fa9SBarry Smith 
485c2fc9fa9SBarry Smith M*/
486c2fc9fa9SBarry Smith #undef __FUNCT__
487f450aa47SBarry Smith #define __FUNCT__ "SNESCreate_VINEWTONSSLS"
4888cc058d9SJed Brown PETSC_EXTERN PetscErrorCode SNESCreate_VINEWTONSSLS(SNES snes)
489c2fc9fa9SBarry Smith {
490c2fc9fa9SBarry Smith   PetscErrorCode    ierr;
491f450aa47SBarry Smith   SNES_VINEWTONSSLS *vi;
492c2fc9fa9SBarry Smith 
493c2fc9fa9SBarry Smith   PetscFunctionBegin;
494f450aa47SBarry Smith   snes->ops->reset          = SNESReset_VINEWTONSSLS;
495f450aa47SBarry Smith   snes->ops->setup          = SNESSetUp_VINEWTONSSLS;
496f450aa47SBarry Smith   snes->ops->solve          = SNESSolve_VINEWTONSSLS;
497c2fc9fa9SBarry Smith   snes->ops->destroy        = SNESDestroy_VI;
498f450aa47SBarry Smith   snes->ops->setfromoptions = SNESSetFromOptions_VINEWTONSSLS;
4990298fd71SBarry Smith   snes->ops->view           = NULL;
500c2fc9fa9SBarry Smith 
501c2fc9fa9SBarry Smith   snes->usesksp = PETSC_TRUE;
502c2fc9fa9SBarry Smith   snes->usespc  = PETSC_FALSE;
503c2fc9fa9SBarry Smith 
504b00a9115SJed Brown   ierr       = PetscNewLog(snes,&vi);CHKERRQ(ierr);
505c2fc9fa9SBarry Smith   snes->data = (void*)vi;
506c2fc9fa9SBarry Smith 
507bdf89e91SBarry Smith   ierr = PetscObjectComposeFunction((PetscObject)snes,"SNESVISetVariableBounds_C",SNESVISetVariableBounds_VI);CHKERRQ(ierr);
508bdf89e91SBarry Smith   ierr = PetscObjectComposeFunction((PetscObject)snes,"SNESVISetComputeVariableBounds_C",SNESVISetComputeVariableBounds_VI);CHKERRQ(ierr);
509c2fc9fa9SBarry Smith   PetscFunctionReturn(0);
510c2fc9fa9SBarry Smith }
511c2fc9fa9SBarry Smith 
512