Actual source code: petsctao.h

      1: #pragma once

      3: #include <petscsnes.h>

      5: /* SUBMANSEC = Tao */

      7: PETSC_EXTERN PetscErrorCode VecFischer(Vec, Vec, Vec, Vec, Vec);
      8: PETSC_EXTERN PetscErrorCode VecSFischer(Vec, Vec, Vec, Vec, PetscReal, Vec);
      9: PETSC_EXTERN PetscErrorCode MatDFischer(Mat, Vec, Vec, Vec, Vec, Vec, Vec, Vec, Vec);
     10: PETSC_EXTERN PetscErrorCode MatDSFischer(Mat, Vec, Vec, Vec, Vec, PetscReal, Vec, Vec, Vec, Vec, Vec);
     11: PETSC_EXTERN PetscErrorCode TaoSoftThreshold(Vec, PetscReal, PetscReal, Vec);

     13: /*E
     14:   TaoSubsetType - Type representing the way TAO handles active sets

     16:   Values:
     17: + `TAO_SUBSET_SUBVEC`     - Tao uses `MatCreateSubMatrix()` and `VecGetSubVector()`
     18: . `TAO_SUBSET_MASK`       - Matrices are zeroed out corresponding to active set entries
     19: - `TAO_SUBSET_MATRIXFREE` - Same as `TAO_SUBSET_MASK` but it can be applied to matrix-free operators

     21:   Options database Key:
     22: . -different_hessian - Tao will use a copy of the Hessian operator for masking.  By default TAO will directly alter the Hessian operator.

     24:   Level: intermediate

     26: .seealso: [](ch_tao), `TaoVecGetSubVec()`, `TaoMatGetSubMat()`, `Tao`, `TaoCreate()`, `TaoDestroy()`, `TaoSetType()`, `TaoType`
     27: E*/
     28: typedef enum {
     29:   TAO_SUBSET_SUBVEC,
     30:   TAO_SUBSET_MASK,
     31:   TAO_SUBSET_MATRIXFREE
     32: } TaoSubsetType;
     33: PETSC_EXTERN const char *const TaoSubsetTypes[];

     35: /*S
     36:    Tao - Abstract PETSc object that manages nonlinear optimization solves

     38:    Level: advanced

     40: .seealso: [](doc_taosolve), [](ch_tao), `TaoCreate()`, `TaoDestroy()`, `TaoSetType()`, `TaoType`
     41: S*/
     42: typedef struct _p_Tao *Tao;

     44: /*E
     45:   TaoADMMUpdateType - Determine spectral penalty update routine for Lagrange augmented term for `TAOADMM`.

     47:   Level: advanced

     49: .seealso: [](ch_tao), `Tao`, `TAOADMM`, `TaoADMMSetUpdateType()`
     50: E*/
     51: typedef enum {
     52:   TAO_ADMM_UPDATE_BASIC,
     53:   TAO_ADMM_UPDATE_ADAPTIVE,
     54:   TAO_ADMM_UPDATE_ADAPTIVE_RELAXED
     55: } TaoADMMUpdateType;
     56: PETSC_EXTERN const char *const TaoADMMUpdateTypes[];

     58: /*MC
     59:   TAO_ADMM_UPDATE_BASIC - Use same spectral penalty set at the beginning. No update

     61:   Level: advanced

     63:   Note:
     64:   Most basic implementation of `TAOADMM`. Generally slower than adaptive or adaptive relaxed version.

     66: .seealso: [](ch_tao), `Tao`, `TAOADMM`, `TaoADMMSetUpdateType()`, `TAO_ADMM_UPDATE_ADAPTIVE`, `TAO_ADMM_UPDATE_ADAPTIVE_RELAXED`
     67: M*/

     69: /*MC
     70:   TAO_ADMM_UPDATE_ADAPTIVE - Adaptively update spectral penalty

     72:   Level: advanced

     74:   Note:
     75:   Adaptively updates spectral penalty of `TAOADMM` by using both steepest descent and minimum gradient.

     77: .seealso: [](ch_tao), `Tao`, `TAOADMM`, `TaoADMMSetUpdateType()`, `TAO_ADMM_UPDATE_BASIC`, `TAO_ADMM_UPDATE_ADAPTIVE_RELAXED`
     78: M*/

     80: /*MC
     81:   ADMM_UPDATE_ADAPTIVE_RELAXED - Adaptively update spectral penalty, and relaxes parameter update

     83:   Level: advanced

     85:   Note:
     86:   With adaptive spectral penalty update, it also relaxes x vector update by a factor.

     88: .seealso: [](ch_tao), `Tao`, `TaoADMMSetUpdateType()`, `TAO_ADMM_UPDATE_BASIC`, `TAO_ADMM_UPDATE_ADAPTIVE`
     89: M*/

     91: /*E
     92:   TaoADMMRegularizerType - Determine regularizer routine - either user provided or soft threshold for `TAOADMM`

     94:   Level: advanced

     96: .seealso: [](ch_tao), `Tao`, `TAOADMM`, `TaoADMMSetRegularizerType()`
     97: E*/
     98: typedef enum {
     99:   TAO_ADMM_REGULARIZER_USER,
    100:   TAO_ADMM_REGULARIZER_SOFT_THRESH
    101: } TaoADMMRegularizerType;
    102: PETSC_EXTERN const char *const TaoADMMRegularizerTypes[];

    104: /*MC
    105:   TAO_ADMM_REGULARIZER_USER - User provided routines for regularizer part of `TAOADMM`

    107:   Level: advanced

    109:   Note:
    110:   User needs to provided appropriate routines and type for regularizer solver

    112: .seealso: [](ch_tao), `Tao`, `TAOADMM`, `TaoADMMSetRegularizerType()`, `TAO_ADMM_REGULARIZER_SOFT_THRESH`
    113: M*/

    115: /*MC
    116:   TAO_ADMM_REGULARIZER_SOFT_THRESH - Soft threshold to solve regularizer part of `TAOADMM`

    118:   Level: advanced

    120:   Note:
    121:   Utilizes built-in SoftThreshold routines

    123: .seealso: [](ch_tao), `Tao`, `TAOADMM`, `TaoSoftThreshold()`, `TaoADMMSetRegularizerObjectiveAndGradientRoutine()`,
    124:           `TaoADMMSetRegularizerHessianRoutine()`, `TaoADMMSetRegularizerType()`, `TAO_ADMM_REGULARIZER_USER`
    125: M*/

    127: /*E
    128:    TaoALMMType - Determine the augmented Lagrangian formulation used in the `TAOALMM` subproblem.

    130:    Values:
    131: +  `TAO_ALMM_CLASSIC` - classic augmented Lagrangian definition including slack variables for inequality constraints
    132: -  `TAO_ALMM_PHR`     - Powell-Hestenes-Rockafellar formulation without slack variables, uses pointwise min() for inequalities

    134:   Level: advanced

    136: .seealso: [](ch_tao), `Tao`, `TAOALMM`, `TaoALMMSetType()`, `TaoALMMGetType()`
    137: E*/
    138: typedef enum {
    139:   TAO_ALMM_CLASSIC,
    140:   TAO_ALMM_PHR
    141: } TaoALMMType;
    142: PETSC_EXTERN const char *const TaoALMMTypes[];

    144: /*E
    145:   TaoBNCGType - Determine the conjugate gradient update formula used in the TAOBNCG algorithm.

    147:   Values:
    148: +  TAO_BNCG_GD         - basic gradient descent, no CG update
    149: .  TAO_BNCG_PCGD       - preconditioned/scaled gradient descent
    150: .  TAO_BNCG_HS         - Hestenes-Stiefel
    151: .  TAO_BNCG_FR         - Fletcher-Reeves
    152: .  TAO_BNCG_PRP        - Polak-Ribiere-Polyak (PRP)
    153: .  TAO_BNCG_PRP_PLUS   - Polak-Ribiere-Polyak "plus" (PRP+)
    154: .  TAO_BNCG_DY         - Dai-Yuan
    155: .  TAO_BNCG_HZ         - Hager-Zhang (CG_DESCENT 5.3)
    156: .  TAO_BNCG_DK         - Dai-Kou (2013)
    157: .  TAO_BNCG_KD         - Kou-Dai (2015)
    158: .  TAO_BNCG_SSML_BFGS  - Self-Scaling Memoryless BFGS (Perry-Shanno)
    159: .  TAO_BNCG_SSML_DFP   - Self-Scaling Memoryless DFP
    160: -  TAO_BNCG_SSML_BRDN  - Self-Scaling Memoryless (Symmetric) Broyden

    162:   Level: advanced

    164: .seealso: `Tao`, `TAOBNCG`, `TaoBNCGSetType()`, `TaoBNCGGetType()`
    165: E*/

    167: typedef enum {
    168:   TAO_BNCG_GD,
    169:   TAO_BNCG_PCGD,
    170:   TAO_BNCG_HS,
    171:   TAO_BNCG_FR,
    172:   TAO_BNCG_PRP,
    173:   TAO_BNCG_PRP_PLUS,
    174:   TAO_BNCG_DY,
    175:   TAO_BNCG_HZ,
    176:   TAO_BNCG_DK,
    177:   TAO_BNCG_KD,
    178:   TAO_BNCG_SSML_BFGS,
    179:   TAO_BNCG_SSML_DFP,
    180:   TAO_BNCG_SSML_BRDN
    181: } TaoBNCGType;
    182: PETSC_EXTERN const char *const TaoBNCGTypes[];

    184: /*J
    185:   TaoType - String with the name of a `Tao` method

    187:   Values:
    188: + `TAONLS`      - nls Newton's method with line search for unconstrained minimization
    189: . `TAONTR`      - ntr Newton's method with trust region for unconstrained minimization
    190: . `TAONTL`      - ntl Newton's method with trust region, line search for unconstrained minimization
    191: . `TAOLMVM`     - lmvm Limited memory variable metric method for unconstrained minimization
    192: . `TAOCG`       - cg Nonlinear conjugate gradient method for unconstrained minimization
    193: . `TAONM`       - nm Nelder-Mead algorithm for derivate-free unconstrained minimization
    194: . `TAOTRON`     - tron Newton Trust Region method for bound constrained minimization
    195: . `TAOGPCG`     - gpcg Newton Trust Region method for quadratic bound constrained minimization
    196: . `TAOBLMVM`    - blmvm Limited memory variable metric method for bound constrained minimization
    197: . `TAOLCL`      - lcl Linearly constrained Lagrangian method for pde-constrained minimization
    198: - `TAOPOUNDERS` - Pounders Model-based algorithm for nonlinear least squares

    200:   Level: beginner

    202: .seealso: [](doc_taosolve), [](ch_tao), `Tao`, `TaoCreate()`, `TaoSetType()`
    203: J*/
    204: typedef const char *TaoType;
    205: #define TAOLMVM     "lmvm"
    206: #define TAONLS      "nls"
    207: #define TAONTR      "ntr"
    208: #define TAONTL      "ntl"
    209: #define TAOCG       "cg"
    210: #define TAOTRON     "tron"
    211: #define TAOOWLQN    "owlqn"
    212: #define TAOBMRM     "bmrm"
    213: #define TAOBLMVM    "blmvm"
    214: #define TAOBQNLS    "bqnls"
    215: #define TAOBNCG     "bncg"
    216: #define TAOBNLS     "bnls"
    217: #define TAOBNTR     "bntr"
    218: #define TAOBNTL     "bntl"
    219: #define TAOBQNKLS   "bqnkls"
    220: #define TAOBQNKTR   "bqnktr"
    221: #define TAOBQNKTL   "bqnktl"
    222: #define TAOBQPIP    "bqpip"
    223: #define TAOGPCG     "gpcg"
    224: #define TAONM       "nm"
    225: #define TAOPOUNDERS "pounders"
    226: #define TAOBRGN     "brgn"
    227: #define TAOLCL      "lcl"
    228: #define TAOSSILS    "ssils"
    229: #define TAOSSFLS    "ssfls"
    230: #define TAOASILS    "asils"
    231: #define TAOASFLS    "asfls"
    232: #define TAOIPM      "ipm"
    233: #define TAOPDIPM    "pdipm"
    234: #define TAOSHELL    "shell"
    235: #define TAOADMM     "admm"
    236: #define TAOALMM     "almm"
    237: #define TAOPYTHON   "python"
    238: #define TAOSNES     "snes"

    240: PETSC_EXTERN PetscClassId      TAO_CLASSID;
    241: PETSC_EXTERN PetscFunctionList TaoList;

    243: /*E
    244:     TaoConvergedReason - reason a `Tao` optimizer was said to have converged or diverged

    246:    Values:
    247: +  `TAO_CONVERGED_GATOL`       - $||g(X)|| < gatol$
    248: .  `TAO_CONVERGED_GRTOL`       - $||g(X)|| / f(X)  < grtol$
    249: .  `TAO_CONVERGED_GTTOL`       - $||g(X)|| / ||g(X0)|| < gttol$
    250: .  `TAO_CONVERGED_STEPTOL`     - step size smaller than tolerance
    251: .  `TAO_CONVERGED_MINF`        - $F < F_min$
    252: .  `TAO_CONVERGED_USER`        - the user indicates the optimization has succeeded
    253: .  `TAO_DIVERGED_MAXITS`       - the maximum number of iterations allowed has been achieved
    254: .  `TAO_DIVERGED_NAN`          - not a number appeared in the computations
    255: .  `TAO_DIVERGED_MAXFCN`       - the maximum number of function evaluations has been computed
    256: .  `TAO_DIVERGED_LS_FAILURE`   - a linesearch failed
    257: .  `TAO_DIVERGED_TR_REDUCTION` - trust region failure
    258: .  `TAO_DIVERGED_USER`         - the user has indicated the optimization has failed
    259: -  `TAO_CONTINUE_ITERATING`    - the optimization is still running, `TaoSolve()`

    261:    where
    262: +  X            - current solution
    263: .  X0           - initial guess
    264: .  f(X)         - current function value
    265: .  f(X*)        - true solution (estimated)
    266: .  g(X)         - current gradient
    267: .  its          - current iterate number
    268: .  maxits       - maximum number of iterates
    269: .  fevals       - number of function evaluations
    270: -  max_funcsals - maximum number of function evaluations

    272:    Level: beginner

    274:    Note:
    275:    The two most common reasons for divergence are  an incorrectly coded or computed gradient or Hessian failure or lack of convergence
    276:    in the linear system solve (in this case we recommend testing with `-pc_type lu` to eliminate the linear solver as the cause of the problem).

    278:    Developer Note:
    279:    The names in `KSPConvergedReason`, `SNESConvergedReason`, and `TaoConvergedReason` should be uniformized

    281: .seealso: [](ch_tao), `Tao`, `TaoSolve()`, `TaoGetConvergedReason()`, `KSPConvergedReason`, `SNESConvergedReason`
    282: E*/
    283: typedef enum {               /* converged */
    284:   TAO_CONVERGED_GATOL   = 3, /* ||g(X)|| < gatol */
    285:   TAO_CONVERGED_GRTOL   = 4, /* ||g(X)|| / f(X)  < grtol */
    286:   TAO_CONVERGED_GTTOL   = 5, /* ||g(X)|| / ||g(X0)|| < gttol */
    287:   TAO_CONVERGED_STEPTOL = 6, /* step size small */
    288:   TAO_CONVERGED_MINF    = 7, /* F < F_min */
    289:   TAO_CONVERGED_USER    = 8, /* User defined */
    290:   /* diverged */
    291:   TAO_DIVERGED_MAXITS       = -2,
    292:   TAO_DIVERGED_NAN          = -4,
    293:   TAO_DIVERGED_MAXFCN       = -5,
    294:   TAO_DIVERGED_LS_FAILURE   = -6,
    295:   TAO_DIVERGED_TR_REDUCTION = -7,
    296:   TAO_DIVERGED_USER         = -8, /* User defined */
    297:   /* keep going */
    298:   TAO_CONTINUE_ITERATING = 0
    299: } TaoConvergedReason;

    301: PETSC_EXTERN const char **TaoConvergedReasons;

    303: PETSC_EXTERN PetscErrorCode TaoInitializePackage(void);
    304: PETSC_EXTERN PetscErrorCode TaoFinalizePackage(void);
    305: PETSC_EXTERN PetscErrorCode TaoCreate(MPI_Comm, Tao *);
    306: PETSC_EXTERN PetscErrorCode TaoSetFromOptions(Tao);
    307: PETSC_EXTERN PetscErrorCode TaoSetUp(Tao);
    308: PETSC_EXTERN PetscErrorCode TaoSetType(Tao, TaoType);
    309: PETSC_EXTERN PetscErrorCode TaoGetType(Tao, TaoType *);
    310: PETSC_EXTERN PetscErrorCode TaoSetApplicationContext(Tao, void *);
    311: PETSC_EXTERN PetscErrorCode TaoGetApplicationContext(Tao, void *);
    312: PETSC_EXTERN PetscErrorCode TaoDestroy(Tao *);

    314: PETSC_EXTERN PetscErrorCode TaoSetOptionsPrefix(Tao, const char[]);
    315: PETSC_EXTERN PetscErrorCode TaoView(Tao, PetscViewer);
    316: PETSC_EXTERN PetscErrorCode TaoViewFromOptions(Tao, PetscObject, const char[]);

    318: PETSC_EXTERN PetscErrorCode TaoSolve(Tao);

    320: PETSC_EXTERN PetscErrorCode TaoRegister(const char[], PetscErrorCode (*)(Tao));
    321: PETSC_EXTERN PetscErrorCode TaoRegisterDestroy(void);

    323: PETSC_EXTERN PetscErrorCode TaoGetConvergedReason(Tao, TaoConvergedReason *);
    324: PETSC_EXTERN PetscErrorCode TaoGetSolutionStatus(Tao, PetscInt *, PetscReal *, PetscReal *, PetscReal *, PetscReal *, TaoConvergedReason *);
    325: PETSC_EXTERN PetscErrorCode TaoSetConvergedReason(Tao, TaoConvergedReason);
    326: PETSC_EXTERN PetscErrorCode TaoSetSolution(Tao, Vec);
    327: PETSC_EXTERN PetscErrorCode TaoGetSolution(Tao, Vec *);

    329: PETSC_EXTERN PetscErrorCode TaoSetObjective(Tao, PetscErrorCode (*)(Tao, Vec, PetscReal *, void *), void *);
    330: PETSC_EXTERN PetscErrorCode TaoGetObjective(Tao, PetscErrorCode (**)(Tao, Vec, PetscReal *, void *), void **);
    331: PETSC_EXTERN PetscErrorCode TaoSetGradient(Tao, Vec, PetscErrorCode (*)(Tao, Vec, Vec, void *), void *);
    332: PETSC_EXTERN PetscErrorCode TaoGetGradient(Tao, Vec *, PetscErrorCode (**)(Tao, Vec, Vec, void *), void **);
    333: PETSC_EXTERN PetscErrorCode TaoSetObjectiveAndGradient(Tao, Vec, PetscErrorCode (*)(Tao, Vec, PetscReal *, Vec, void *), void *);
    334: PETSC_EXTERN PetscErrorCode TaoGetObjectiveAndGradient(Tao, Vec *, PetscErrorCode (**)(Tao, Vec, PetscReal *, Vec, void *), void **);
    335: PETSC_EXTERN PetscErrorCode TaoSetHessian(Tao, Mat, Mat, PetscErrorCode (*)(Tao, Vec, Mat, Mat, void *), void *);
    336: PETSC_EXTERN PetscErrorCode TaoGetHessian(Tao, Mat *, Mat *, PetscErrorCode (**)(Tao, Vec, Mat, Mat, void *), void **);

    338: PETSC_EXTERN PetscErrorCode TaoSetGradientNorm(Tao, Mat);
    339: PETSC_EXTERN PetscErrorCode TaoGetGradientNorm(Tao, Mat *);
    340: PETSC_EXTERN PetscErrorCode TaoSetLMVMMatrix(Tao, Mat);
    341: PETSC_EXTERN PetscErrorCode TaoGetLMVMMatrix(Tao, Mat *);
    342: PETSC_EXTERN PetscErrorCode TaoSetRecycleHistory(Tao, PetscBool);
    343: PETSC_EXTERN PetscErrorCode TaoGetRecycleHistory(Tao, PetscBool *);
    344: PETSC_EXTERN PetscErrorCode TaoLMVMSetH0(Tao, Mat);
    345: PETSC_EXTERN PetscErrorCode TaoLMVMGetH0(Tao, Mat *);
    346: PETSC_EXTERN PetscErrorCode TaoLMVMGetH0KSP(Tao, KSP *);
    347: PETSC_EXTERN PetscErrorCode TaoLMVMRecycle(Tao, PetscBool);
    348: PETSC_EXTERN PetscErrorCode TaoSetResidualRoutine(Tao, Vec, PetscErrorCode (*)(Tao, Vec, Vec, void *), void *);
    349: PETSC_EXTERN PetscErrorCode TaoSetResidualWeights(Tao, Vec, PetscInt, PetscInt *, PetscInt *, PetscReal *);
    350: PETSC_EXTERN PetscErrorCode TaoSetConstraintsRoutine(Tao, Vec, PetscErrorCode (*)(Tao, Vec, Vec, void *), void *);
    351: PETSC_EXTERN PetscErrorCode TaoSetInequalityConstraintsRoutine(Tao, Vec, PetscErrorCode (*)(Tao, Vec, Vec, void *), void *);
    352: PETSC_EXTERN PetscErrorCode TaoSetEqualityConstraintsRoutine(Tao, Vec, PetscErrorCode (*)(Tao, Vec, Vec, void *), void *);
    353: PETSC_EXTERN PetscErrorCode TaoSetJacobianResidualRoutine(Tao, Mat, Mat, PetscErrorCode (*)(Tao, Vec, Mat, Mat, void *), void *);
    354: PETSC_EXTERN PetscErrorCode TaoSetJacobianRoutine(Tao, Mat, Mat, PetscErrorCode (*)(Tao, Vec, Mat, Mat, void *), void *);
    355: PETSC_EXTERN PetscErrorCode TaoSetJacobianStateRoutine(Tao, Mat, Mat, Mat, PetscErrorCode (*)(Tao, Vec, Mat, Mat, Mat, void *), void *);
    356: PETSC_EXTERN PetscErrorCode TaoSetJacobianDesignRoutine(Tao, Mat, PetscErrorCode (*)(Tao, Vec, Mat, void *), void *);
    357: PETSC_EXTERN PetscErrorCode TaoSetJacobianInequalityRoutine(Tao, Mat, Mat, PetscErrorCode (*)(Tao, Vec, Mat, Mat, void *), void *);
    358: PETSC_EXTERN PetscErrorCode TaoSetJacobianEqualityRoutine(Tao, Mat, Mat, PetscErrorCode (*)(Tao, Vec, Mat, Mat, void *), void *);

    360: PETSC_EXTERN PetscErrorCode TaoPythonSetType(Tao, const char[]);
    361: PETSC_EXTERN PetscErrorCode TaoPythonGetType(Tao, const char *[]);

    363: PETSC_EXTERN PetscErrorCode TaoShellSetSolve(Tao, PetscErrorCode (*)(Tao));
    364: PETSC_EXTERN PetscErrorCode TaoShellSetContext(Tao, void *);
    365: PETSC_EXTERN PetscErrorCode TaoShellGetContext(Tao, void *);

    367: PETSC_EXTERN PetscErrorCode TaoSetStateDesignIS(Tao, IS, IS);

    369: PETSC_EXTERN PetscErrorCode TaoComputeObjective(Tao, Vec, PetscReal *);
    370: PETSC_EXTERN PetscErrorCode TaoComputeResidual(Tao, Vec, Vec);
    371: PETSC_EXTERN PetscErrorCode TaoTestGradient(Tao, Vec, Vec);
    372: PETSC_EXTERN PetscErrorCode TaoComputeGradient(Tao, Vec, Vec);
    373: PETSC_EXTERN PetscErrorCode TaoComputeObjectiveAndGradient(Tao, Vec, PetscReal *, Vec);
    374: PETSC_EXTERN PetscErrorCode TaoComputeConstraints(Tao, Vec, Vec);
    375: PETSC_EXTERN PetscErrorCode TaoComputeInequalityConstraints(Tao, Vec, Vec);
    376: PETSC_EXTERN PetscErrorCode TaoComputeEqualityConstraints(Tao, Vec, Vec);
    377: PETSC_EXTERN PetscErrorCode TaoDefaultComputeGradient(Tao, Vec, Vec, void *);
    378: PETSC_EXTERN PetscErrorCode TaoIsObjectiveDefined(Tao, PetscBool *);
    379: PETSC_EXTERN PetscErrorCode TaoIsGradientDefined(Tao, PetscBool *);
    380: PETSC_EXTERN PetscErrorCode TaoIsObjectiveAndGradientDefined(Tao, PetscBool *);

    382: PETSC_EXTERN PetscErrorCode TaoTestHessian(Tao);
    383: PETSC_EXTERN PetscErrorCode TaoComputeHessian(Tao, Vec, Mat, Mat);
    384: PETSC_EXTERN PetscErrorCode TaoComputeResidualJacobian(Tao, Vec, Mat, Mat);
    385: PETSC_EXTERN PetscErrorCode TaoComputeJacobian(Tao, Vec, Mat, Mat);
    386: PETSC_EXTERN PetscErrorCode TaoComputeJacobianState(Tao, Vec, Mat, Mat, Mat);
    387: PETSC_EXTERN PetscErrorCode TaoComputeJacobianEquality(Tao, Vec, Mat, Mat);
    388: PETSC_EXTERN PetscErrorCode TaoComputeJacobianInequality(Tao, Vec, Mat, Mat);
    389: PETSC_EXTERN PetscErrorCode TaoComputeJacobianDesign(Tao, Vec, Mat);

    391: PETSC_EXTERN PetscErrorCode TaoDefaultComputeHessian(Tao, Vec, Mat, Mat, void *);
    392: PETSC_EXTERN PetscErrorCode TaoDefaultComputeHessianColor(Tao, Vec, Mat, Mat, void *);
    393: PETSC_EXTERN PetscErrorCode TaoDefaultComputeHessianMFFD(Tao, Vec, Mat, Mat, void *);
    394: PETSC_EXTERN PetscErrorCode TaoComputeDualVariables(Tao, Vec, Vec);
    395: PETSC_EXTERN PetscErrorCode TaoSetVariableBounds(Tao, Vec, Vec);
    396: PETSC_EXTERN PetscErrorCode TaoGetVariableBounds(Tao, Vec *, Vec *);
    397: PETSC_EXTERN PetscErrorCode TaoGetDualVariables(Tao, Vec *, Vec *);
    398: PETSC_EXTERN PetscErrorCode TaoSetInequalityBounds(Tao, Vec, Vec);
    399: PETSC_EXTERN PetscErrorCode TaoGetInequalityBounds(Tao, Vec *, Vec *);
    400: PETSC_EXTERN PetscErrorCode TaoSetVariableBoundsRoutine(Tao, PetscErrorCode (*)(Tao, Vec, Vec, void *), void *);
    401: PETSC_EXTERN PetscErrorCode TaoComputeVariableBounds(Tao);

    403: PETSC_EXTERN PetscErrorCode TaoGetTolerances(Tao, PetscReal *, PetscReal *, PetscReal *);
    404: PETSC_EXTERN PetscErrorCode TaoSetTolerances(Tao, PetscReal, PetscReal, PetscReal);
    405: PETSC_EXTERN PetscErrorCode TaoGetConstraintTolerances(Tao, PetscReal *, PetscReal *);
    406: PETSC_EXTERN PetscErrorCode TaoSetConstraintTolerances(Tao, PetscReal, PetscReal);
    407: PETSC_EXTERN PetscErrorCode TaoSetFunctionLowerBound(Tao, PetscReal);
    408: PETSC_EXTERN PetscErrorCode TaoSetInitialTrustRegionRadius(Tao, PetscReal);
    409: PETSC_EXTERN PetscErrorCode TaoSetMaximumIterations(Tao, PetscInt);
    410: PETSC_EXTERN PetscErrorCode TaoSetMaximumFunctionEvaluations(Tao, PetscInt);
    411: PETSC_EXTERN PetscErrorCode TaoGetFunctionLowerBound(Tao, PetscReal *);
    412: PETSC_EXTERN PetscErrorCode TaoGetInitialTrustRegionRadius(Tao, PetscReal *);
    413: PETSC_EXTERN PetscErrorCode TaoGetCurrentTrustRegionRadius(Tao, PetscReal *);
    414: PETSC_EXTERN PetscErrorCode TaoGetMaximumIterations(Tao, PetscInt *);
    415: PETSC_EXTERN PetscErrorCode TaoGetCurrentFunctionEvaluations(Tao, PetscInt *);
    416: PETSC_EXTERN PetscErrorCode TaoGetMaximumFunctionEvaluations(Tao, PetscInt *);
    417: PETSC_EXTERN PetscErrorCode TaoGetIterationNumber(Tao, PetscInt *);
    418: PETSC_EXTERN PetscErrorCode TaoSetIterationNumber(Tao, PetscInt);
    419: PETSC_EXTERN PetscErrorCode TaoGetTotalIterationNumber(Tao, PetscInt *);
    420: PETSC_EXTERN PetscErrorCode TaoSetTotalIterationNumber(Tao, PetscInt);
    421: PETSC_EXTERN PetscErrorCode TaoGetResidualNorm(Tao, PetscReal *);

    423: PETSC_EXTERN PetscErrorCode TaoAppendOptionsPrefix(Tao, const char[]);
    424: PETSC_EXTERN PetscErrorCode TaoGetOptionsPrefix(Tao, const char *[]);
    425: PETSC_EXTERN PetscErrorCode TaoResetStatistics(Tao);
    426: PETSC_EXTERN PetscErrorCode TaoSetUpdate(Tao, PetscErrorCode (*)(Tao, PetscInt, void *), void *);

    428: PETSC_EXTERN PetscErrorCode TaoGetKSP(Tao, KSP *);
    429: PETSC_EXTERN PetscErrorCode TaoGetLinearSolveIterations(Tao, PetscInt *);
    430: PETSC_EXTERN PetscErrorCode TaoKSPSetUseEW(Tao, PetscBool);

    432: #include <petsctaolinesearch.h>

    434: PETSC_EXTERN PetscErrorCode TaoGetLineSearch(Tao, TaoLineSearch *);

    436: PETSC_EXTERN PetscErrorCode TaoSetConvergenceHistory(Tao, PetscReal *, PetscReal *, PetscReal *, PetscInt *, PetscInt, PetscBool);
    437: PETSC_EXTERN PetscErrorCode TaoGetConvergenceHistory(Tao, PetscReal **, PetscReal **, PetscReal **, PetscInt **, PetscInt *);
    438: PETSC_EXTERN PetscErrorCode TaoMonitorSet(Tao, PetscErrorCode (*)(Tao, void *), void *, PetscErrorCode (*)(void **));
    439: PETSC_EXTERN PetscErrorCode TaoMonitorCancel(Tao);
    440: PETSC_EXTERN PetscErrorCode TaoMonitorDefault(Tao, void *);
    441: PETSC_EXTERN PetscErrorCode TaoMonitorGlobalization(Tao, void *);
    442: PETSC_EXTERN PetscErrorCode TaoMonitorDefaultShort(Tao, void *);
    443: PETSC_EXTERN PetscErrorCode TaoMonitorConstraintNorm(Tao, void *);
    444: PETSC_EXTERN PetscErrorCode TaoMonitorSolution(Tao, void *);
    445: PETSC_EXTERN PetscErrorCode TaoMonitorResidual(Tao, void *);
    446: PETSC_EXTERN PetscErrorCode TaoMonitorGradient(Tao, void *);
    447: PETSC_EXTERN PetscErrorCode TaoMonitorStep(Tao, void *);
    448: PETSC_EXTERN PetscErrorCode TaoMonitorSolutionDraw(Tao, void *);
    449: PETSC_EXTERN PetscErrorCode TaoMonitorStepDraw(Tao, void *);
    450: PETSC_EXTERN PetscErrorCode TaoMonitorGradientDraw(Tao, void *);
    451: PETSC_EXTERN PetscErrorCode TaoAddLineSearchCounts(Tao);

    453: PETSC_EXTERN PetscErrorCode TaoDefaultConvergenceTest(Tao, void *);
    454: PETSC_EXTERN PetscErrorCode TaoSetConvergenceTest(Tao, PetscErrorCode (*)(Tao, void *), void *);

    456: PETSC_EXTERN PetscErrorCode          TaoLCLSetStateDesignIS(Tao, IS, IS);
    457: PETSC_EXTERN PetscErrorCode          TaoMonitor(Tao, PetscInt, PetscReal, PetscReal, PetscReal, PetscReal);
    458: typedef struct _n_TaoMonitorDrawCtx *TaoMonitorDrawCtx;
    459: PETSC_EXTERN PetscErrorCode          TaoMonitorDrawCtxCreate(MPI_Comm, const char[], const char[], int, int, int, int, PetscInt, TaoMonitorDrawCtx *);
    460: PETSC_EXTERN PetscErrorCode          TaoMonitorDrawCtxDestroy(TaoMonitorDrawCtx *);

    462: PETSC_EXTERN PetscErrorCode TaoBRGNGetSubsolver(Tao, Tao *);
    463: PETSC_EXTERN PetscErrorCode TaoBRGNSetRegularizerObjectiveAndGradientRoutine(Tao, PetscErrorCode (*)(Tao, Vec, PetscReal *, Vec, void *), void *);
    464: PETSC_EXTERN PetscErrorCode TaoBRGNSetRegularizerHessianRoutine(Tao, Mat, PetscErrorCode (*)(Tao, Vec, Mat, void *), void *);
    465: PETSC_EXTERN PetscErrorCode TaoBRGNSetRegularizerWeight(Tao, PetscReal);
    466: PETSC_EXTERN PetscErrorCode TaoBRGNSetL1SmoothEpsilon(Tao, PetscReal);
    467: PETSC_EXTERN PetscErrorCode TaoBRGNSetDictionaryMatrix(Tao, Mat);
    468: PETSC_EXTERN PetscErrorCode TaoBRGNGetDampingVector(Tao, Vec *);
    469: PETSC_EXTERN PetscErrorCode TaoBNCGSetType(Tao, TaoBNCGType);
    470: PETSC_EXTERN PetscErrorCode TaoBNCGGetType(Tao, TaoBNCGType *);

    472: PETSC_EXTERN PetscErrorCode TaoADMMGetMisfitSubsolver(Tao, Tao *);
    473: PETSC_EXTERN PetscErrorCode TaoADMMGetRegularizationSubsolver(Tao, Tao *);
    474: PETSC_EXTERN PetscErrorCode TaoADMMGetDualVector(Tao, Vec *);
    475: PETSC_EXTERN PetscErrorCode TaoADMMGetSpectralPenalty(Tao, PetscReal *);
    476: PETSC_EXTERN PetscErrorCode TaoADMMSetSpectralPenalty(Tao, PetscReal);
    477: PETSC_EXTERN PetscErrorCode TaoGetADMMParentTao(Tao, Tao *);
    478: PETSC_EXTERN PetscErrorCode TaoADMMSetConstraintVectorRHS(Tao, Vec);
    479: PETSC_EXTERN PetscErrorCode TaoADMMSetRegularizerCoefficient(Tao, PetscReal);
    480: PETSC_EXTERN PetscErrorCode TaoADMMGetRegularizerCoefficient(Tao, PetscReal *);
    481: PETSC_EXTERN PetscErrorCode TaoADMMSetMisfitConstraintJacobian(Tao, Mat, Mat, PetscErrorCode (*)(Tao, Vec, Mat, Mat, void *), void *);
    482: PETSC_EXTERN PetscErrorCode TaoADMMSetRegularizerConstraintJacobian(Tao, Mat, Mat, PetscErrorCode (*)(Tao, Vec, Mat, Mat, void *), void *);
    483: PETSC_EXTERN PetscErrorCode TaoADMMSetRegularizerHessianRoutine(Tao, Mat, Mat, PetscErrorCode (*)(Tao, Vec, Mat, Mat, void *), void *);
    484: PETSC_EXTERN PetscErrorCode TaoADMMSetRegularizerObjectiveAndGradientRoutine(Tao, PetscErrorCode (*)(Tao, Vec, PetscReal *, Vec, void *), void *);
    485: PETSC_EXTERN PetscErrorCode TaoADMMSetMisfitHessianRoutine(Tao, Mat, Mat, PetscErrorCode (*)(Tao, Vec, Mat, Mat, void *), void *);
    486: PETSC_EXTERN PetscErrorCode TaoADMMSetMisfitObjectiveAndGradientRoutine(Tao, PetscErrorCode (*)(Tao, Vec, PetscReal *, Vec, void *), void *);
    487: PETSC_EXTERN PetscErrorCode TaoADMMSetMisfitHessianChangeStatus(Tao, PetscBool);
    488: PETSC_EXTERN PetscErrorCode TaoADMMSetRegHessianChangeStatus(Tao, PetscBool);
    489: PETSC_EXTERN PetscErrorCode TaoADMMSetMinimumSpectralPenalty(Tao, PetscReal);
    490: PETSC_EXTERN PetscErrorCode TaoADMMSetRegularizerType(Tao, TaoADMMRegularizerType);
    491: PETSC_EXTERN PetscErrorCode TaoADMMGetRegularizerType(Tao, TaoADMMRegularizerType *);
    492: PETSC_EXTERN PetscErrorCode TaoADMMSetUpdateType(Tao, TaoADMMUpdateType);
    493: PETSC_EXTERN PetscErrorCode TaoADMMGetUpdateType(Tao, TaoADMMUpdateType *);

    495: PETSC_EXTERN PetscErrorCode TaoALMMGetType(Tao, TaoALMMType *);
    496: PETSC_EXTERN PetscErrorCode TaoALMMSetType(Tao, TaoALMMType);
    497: PETSC_EXTERN PetscErrorCode TaoALMMGetSubsolver(Tao, Tao *);
    498: PETSC_EXTERN PetscErrorCode TaoALMMSetSubsolver(Tao, Tao);
    499: PETSC_EXTERN PetscErrorCode TaoALMMGetMultipliers(Tao, Vec *);
    500: PETSC_EXTERN PetscErrorCode TaoALMMSetMultipliers(Tao, Vec);
    501: PETSC_EXTERN PetscErrorCode TaoALMMGetPrimalIS(Tao, IS *, IS *);
    502: PETSC_EXTERN PetscErrorCode TaoALMMGetDualIS(Tao, IS *, IS *);

    504: PETSC_EXTERN PetscErrorCode TaoVecGetSubVec(Vec, IS, TaoSubsetType, PetscReal, Vec *);
    505: PETSC_EXTERN PetscErrorCode TaoMatGetSubMat(Mat, IS, Vec, TaoSubsetType, Mat *);
    506: PETSC_EXTERN PetscErrorCode TaoGradientNorm(Tao, Vec, NormType, PetscReal *);
    507: PETSC_EXTERN PetscErrorCode TaoEstimateActiveBounds(Vec, Vec, Vec, Vec, Vec, Vec, PetscReal, PetscReal *, IS *, IS *, IS *, IS *, IS *);
    508: PETSC_EXTERN PetscErrorCode TaoBoundStep(Vec, Vec, Vec, IS, IS, IS, PetscReal, Vec);
    509: PETSC_EXTERN PetscErrorCode TaoBoundSolution(Vec, Vec, Vec, PetscReal, PetscInt *, Vec);

    511: #include <petsctao_deprecations.h>