Actual source code: linesearchl2.c
petsc-3.10.5 2019-03-28
1: #include <petsc/private/linesearchimpl.h>
2: #include <petscsnes.h>
4: static PetscErrorCode SNESLineSearchApply_L2(SNESLineSearch linesearch)
5: {
6: PetscBool changed_y, changed_w;
8: Vec X;
9: Vec F;
10: Vec Y;
11: Vec W;
12: SNES snes;
13: PetscReal gnorm;
14: PetscReal ynorm;
15: PetscReal xnorm;
16: PetscReal steptol, maxstep, rtol, atol, ltol;
17: PetscViewer monitor;
18: PetscReal lambda, lambda_old, lambda_mid, lambda_update, delLambda;
19: PetscReal fnrm, fnrm_old, fnrm_mid;
20: PetscReal delFnrm, delFnrm_old, del2Fnrm;
21: PetscInt i, max_its;
22: PetscErrorCode (*objective)(SNES,Vec,PetscReal*,void*);
25: SNESLineSearchGetVecs(linesearch, &X, &F, &Y, &W, NULL);
26: SNESLineSearchGetNorms(linesearch, &xnorm, &gnorm, &ynorm);
27: SNESLineSearchGetLambda(linesearch, &lambda);
28: SNESLineSearchGetSNES(linesearch, &snes);
29: SNESLineSearchSetReason(linesearch, SNES_LINESEARCH_SUCCEEDED);
30: SNESLineSearchGetTolerances(linesearch, &steptol, &maxstep, &rtol, &atol, <ol, &max_its);
31: SNESLineSearchGetDefaultMonitor(linesearch, &monitor);
33: SNESGetObjective(snes,&objective,NULL);
35: /* precheck */
36: SNESLineSearchPreCheck(linesearch,X,Y,&changed_y);
37: lambda_old = 0.0;
38: if (!objective) {
39: fnrm_old = gnorm*gnorm;
40: } else {
41: SNESComputeObjective(snes,X,&fnrm_old);
42: }
43: lambda_mid = 0.5*(lambda + lambda_old);
45: for (i = 0; i < max_its; i++) {
47: while (PETSC_TRUE) {
48: VecCopy(X, W);
49: VecAXPY(W, -lambda_mid, Y);
50: if (linesearch->ops->viproject) {
51: (*linesearch->ops->viproject)(snes, W);
52: }
53: if (!objective) {
54: /* compute the norm at the midpoint */
55: (*linesearch->ops->snesfunc)(snes, W, F);
56: if (linesearch->ops->vinorm) {
57: fnrm_mid = gnorm;
58: (*linesearch->ops->vinorm)(snes, F, W, &fnrm_mid);
59: } else {
60: VecNorm(F,NORM_2,&fnrm_mid);
61: }
63: /* compute the norm at the new endpoit */
64: VecCopy(X, W);
65: VecAXPY(W, -lambda, Y);
66: if (linesearch->ops->viproject) {
67: (*linesearch->ops->viproject)(snes, W);
68: }
69: (*linesearch->ops->snesfunc)(snes, W, F);
70: if (linesearch->ops->vinorm) {
71: fnrm = gnorm;
72: (*linesearch->ops->vinorm)(snes, F, W, &fnrm);
73: } else {
74: VecNorm(F,NORM_2,&fnrm);
75: }
76: fnrm_mid = fnrm_mid*fnrm_mid;
77: fnrm = fnrm*fnrm;
78: } else {
79: /* compute the objective at the midpoint */
80: VecCopy(X, W);
81: VecAXPY(W, -lambda_mid, Y);
82: SNESComputeObjective(snes,W,&fnrm_mid);
84: /* compute the objective at the new endpoint */
85: VecCopy(X, W);
86: VecAXPY(W, -lambda, Y);
87: SNESComputeObjective(snes,W,&fnrm);
88: }
89: if (!PetscIsInfOrNanReal(fnrm)) break;
90: if (monitor) {
91: PetscViewerASCIIAddTab(monitor,((PetscObject)linesearch)->tablevel);
92: PetscViewerASCIIPrintf(monitor," Line search: objective function at lambdas = %g is Inf or Nan, cutting lambda\n",(double)lambda);
93: PetscViewerASCIISubtractTab(monitor,((PetscObject)linesearch)->tablevel);
94: }
95: if (lambda <= steptol) {
96: SNESLineSearchSetReason(linesearch, SNES_LINESEARCH_FAILED_REDUCT);
97: return(0);
98: }
99: maxstep = .95*lambda; /* forbid the search from ever going back to the "failed" length that generates Nan or Inf */
100: lambda = .5*(lambda + lambda_old);
101: lambda_mid = .5*(lambda + lambda_old);
102: }
104: delLambda = lambda - lambda_old;
105: /* compute f'() at the end points using second order one sided differencing */
106: delFnrm = (3.*fnrm - 4.*fnrm_mid + 1.*fnrm_old) / delLambda;
107: delFnrm_old = (-3.*fnrm_old + 4.*fnrm_mid -1.*fnrm) / delLambda;
108: /* compute f''() at the midpoint using centered differencing */
109: del2Fnrm = (delFnrm - delFnrm_old) / delLambda;
111: if (monitor) {
112: PetscViewerASCIIAddTab(monitor,((PetscObject)linesearch)->tablevel);
113: if (!objective) {
114: PetscViewerASCIIPrintf(monitor," Line search: lambdas = [%g, %g, %g], fnorms = [%g, %g, %g]\n",(double)lambda, (double)lambda_mid, (double)lambda_old, (double)PetscSqrtReal(fnrm), (double)PetscSqrtReal(fnrm_mid), (double)PetscSqrtReal(fnrm_old));
115: } else {
116: PetscViewerASCIIPrintf(monitor," Line search: lambdas = [%g, %g, %g], obj = [%g, %g, %g]\n",(double)lambda, (double)lambda_mid, (double)lambda_old, (double)fnrm, (double)fnrm_mid, (double)fnrm_old);
117: }
118: PetscViewerASCIISubtractTab(monitor,((PetscObject)linesearch)->tablevel);
119: }
121: /* compute the secant (Newton) update -- always go downhill */
122: if (del2Fnrm > 0.) lambda_update = lambda - delFnrm / del2Fnrm;
123: else if (del2Fnrm < 0.) lambda_update = lambda + delFnrm / del2Fnrm;
124: else break;
126: if (lambda_update < steptol) lambda_update = 0.5*(lambda + lambda_old);
128: if (PetscIsInfOrNanReal(lambda_update)) break;
130: if (lambda_update > maxstep) break;
132: /* update the endpoints and the midpoint of the bracketed secant region */
133: lambda_old = lambda;
134: lambda = lambda_update;
135: fnrm_old = fnrm;
136: lambda_mid = 0.5*(lambda + lambda_old);
137: }
138: /* construct the solution */
139: VecCopy(X, W);
140: VecAXPY(W, -lambda, Y);
141: if (linesearch->ops->viproject) {
142: (*linesearch->ops->viproject)(snes, W);
143: }
145: /* postcheck */
146: SNESLineSearchPostCheck(linesearch,X,Y,W,&changed_y,&changed_w);
147: if (changed_y) {
148: VecAXPY(X, -lambda, Y);
149: if (linesearch->ops->viproject) {
150: (*linesearch->ops->viproject)(snes, X);
151: }
152: } else {
153: VecCopy(W, X);
154: }
155: (*linesearch->ops->snesfunc)(snes,X,F);
157: SNESLineSearchSetLambda(linesearch, lambda);
158: SNESLineSearchComputeNorms(linesearch);
159: SNESLineSearchGetNorms(linesearch, &xnorm, &gnorm, &ynorm);
161: if (monitor) {
162: PetscViewerASCIIAddTab(monitor,((PetscObject)linesearch)->tablevel);
163: PetscViewerASCIIPrintf(monitor," Line search terminated: lambda = %g, fnorms = %g\n", (double)lambda, (double)gnorm);
164: PetscViewerASCIISubtractTab(monitor,((PetscObject)linesearch)->tablevel);
165: }
166: if (lambda <= steptol) {
167: SNESLineSearchSetReason(linesearch, SNES_LINESEARCH_FAILED_REDUCT);
168: }
169: return(0);
170: }
172: /*MC
173: SNESLINESEARCHL2 - Secant search in the L2 norm of the function or the objective function, if it is provided with SNESSetObjective().
175: Attempts to solve min_lambda f(x + lambda y) using the secant method with the initial bracketing of lambda between [0,damping]. Differences of f()
176: are used to approximate the first and second derivative of f() with respect to lambda, f'() and f''(). The secant method is run for maxit iterations.
178: When an objective function is provided f(w) is the objective function otherwise f(w) = ||F(w)||^2. x is the current step and y is the search direction.
180: This has no checks on whether the secant method is actually converging.
182: Options Database Keys:
183: + -snes_linesearch_max_it <maxit> - maximum number of iterations, default is 1
184: . -snes_linesearch_maxstep <length> - the algorithm insures that a step length is never longer than this value
185: . -snes_linesearch_damping <damping> - initial step is scaled back by this factor, default is 1.0
186: - -snes_linesearch_minlambda <minlambda> - minimum allowable lambda
188: Level: advanced
190: Developer Notes:
191: A better name for this method might be SNESLINESEARCHSECANT, L2 is not descriptive
193: .keywords: SNES, nonlinear, line search, norm, secant
195: .seealso: SNESLINESEARCHBT, SNESLINESEARCHCP, SNESLineSearch, SNESLineSearchCreate(), SNESLineSearchSetType()
196: M*/
197: PETSC_EXTERN PetscErrorCode SNESLineSearchCreate_L2(SNESLineSearch linesearch)
198: {
200: linesearch->ops->apply = SNESLineSearchApply_L2;
201: linesearch->ops->destroy = NULL;
202: linesearch->ops->setfromoptions = NULL;
203: linesearch->ops->reset = NULL;
204: linesearch->ops->view = NULL;
205: linesearch->ops->setup = NULL;
207: linesearch->max_its = 1;
208: return(0);
209: }