alpaqa pi-pico
Nonconvex constrained optimization
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Public Attributes | List of all members
alpaqa_problem_functions_t Struct Reference

#include <alpaqa/dl/dl-problem.h>

Detailed Description

C API providing function pointers to problem functions.

Used by alpaqa::dl::DLProblem.

Examples
C++/DLProblem/main.cpp, and problems/sparse-logistic-regression.cpp.

Definition at line 210 of file dl-problem.h.

+ Collaboration diagram for alpaqa_problem_functions_t:

Public Attributes

alpaqa_length_t n { 0 }
 Number of decision variables.
 
alpaqa_length_t m { 0 }
 Number of constraints.
 
const char * name { nullptr }
 Name of the problem.
 
alpaqa_real_t(* eval_f )(void *instance, const alpaqa_real_t *x)
 Cost function.
 
void(* eval_grad_f )(void *instance, const alpaqa_real_t *x, alpaqa_real_t *grad_fx)
 Gradient of the cost function.
 
void(* eval_g )(void *instance, const alpaqa_real_t *x, alpaqa_real_t *gx)
 Constraints function.
 
void(* eval_grad_g_prod )(void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, alpaqa_real_t *grad_gxy)
 Gradient-vector product of the constraints function.
 
void(* eval_proj_diff_g )(void *instance, const alpaqa_real_t *z, alpaqa_real_t *e)
 Difference between point and its projection onto the general constraint set D.
 
void(* eval_proj_multipliers )(void *instance, alpaqa_real_t *y, alpaqa_real_t M)
 Project the Lagrange multipliers.
 
alpaqa_real_t(* eval_prox_grad_step )(void *instance, alpaqa_real_t γ, const alpaqa_real_t *x, const alpaqa_real_t *grad_ψ, alpaqa_real_t *x̂, alpaqa_real_t *p)
 Proximal gradient step.
 
alpaqa_index_t(* eval_inactive_indices_res_lna )(void *instance, alpaqa_real_t γ, const alpaqa_real_t *x, const alpaqa_real_t *grad_ψ, alpaqa_index_t *J)
 Active indices for proximal operator.
 
void(* eval_jac_g )(void *instance, const alpaqa_real_t *x, alpaqa_real_t *J_values)
 Jacobian of the constraints function.
 
alpaqa_sparsity_t(* get_jac_g_sparsity )(void *instance)
 Get the sparsity pattern of the Jacobian of the constraints function.
 
void(* eval_grad_gi )(void *instance, const alpaqa_real_t *x, alpaqa_index_t i, alpaqa_real_t *grad_gi)
 Gradient of specific constraint function.
 
void(* eval_hess_L_prod )(void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, alpaqa_real_t scale, const alpaqa_real_t *v, alpaqa_real_t *Hv)
 Hessian-vector product of the Lagrangian.
 
void(* eval_hess_L )(void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, alpaqa_real_t scale, alpaqa_real_t *H_values)
 Hessian of the Lagrangian.
 
alpaqa_sparsity_t(* get_hess_L_sparsity )(void *instance)
 Get the sparsity pattern of the Hessian of the Lagrangian.
 
void(* eval_hess_ψ_prod )(void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, const alpaqa_real_t *Σ, alpaqa_real_t scale, const alpaqa_real_t *zl, const alpaqa_real_t *zu, const alpaqa_real_t *v, alpaqa_real_t *Hv)
 Hessian-vector product of the augmented Lagrangian.
 
void(* eval_hess_ψ )(void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, const alpaqa_real_t *Σ, alpaqa_real_t scale, const alpaqa_real_t *zl, const alpaqa_real_t *zu, alpaqa_real_t *H_values)
 Hessian of the augmented Lagrangian.
 
alpaqa_sparsity_t(* get_hess_ψ_sparsity )(void *instance)
 Get the sparsity pattern of the Hessian of the augmented Lagrangian.
 
alpaqa_real_t(* eval_f_grad_f )(void *instance, const alpaqa_real_t *x, alpaqa_real_t *grad_fx)
 Cost and its gradient.
 
alpaqa_real_t(* eval_f_g )(void *instance, const alpaqa_real_t *x, alpaqa_real_t *g)
 Cost and constraints.
 
void(* eval_grad_f_grad_g_prod )(void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, alpaqa_real_t *grad_f, alpaqa_real_t *grad_gxy)
 Gradient of the cost and gradient-vector product of the constraints.
 
void(* eval_grad_L )(void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, alpaqa_real_t *grad_L, alpaqa_real_t *work_n)
 Gradient of the Lagrangian.
 
alpaqa_real_t(* eval_ψ )(void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, const alpaqa_real_t *Σ, const alpaqa_real_t *zl, const alpaqa_real_t *zu, alpaqa_real_t *ŷ)
 Augmented Lagrangian.
 
void(* eval_grad_ψ )(void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, const alpaqa_real_t *Σ, const alpaqa_real_t *zl, const alpaqa_real_t *zu, alpaqa_real_t *grad_ψ, alpaqa_real_t *work_n, alpaqa_real_t *work_m)
 Gradient of the augmented Lagrangian.
 
alpaqa_real_t(* eval_ψ_grad_ψ )(void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, const alpaqa_real_t *Σ, const alpaqa_real_t *zl, const alpaqa_real_t *zu, alpaqa_real_t *grad_ψ, alpaqa_real_t *work_n, alpaqa_real_t *work_m)
 Augmented Lagrangian and its gradient.
 
void(* initialize_box_C )(void *instance, alpaqa_real_t *lb, alpaqa_real_t *ub)
 Provide the initial values for the bounds of alpaqa::BoxConstrProblem::C, i.e.
 
void(* initialize_box_D )(void *instance, alpaqa_real_t *lb, alpaqa_real_t *ub)
 Provide the initial values for the bounds of alpaqa::BoxConstrProblem::D, i.e.
 
void(* initialize_l1_reg )(void *instance, alpaqa_real_t *lambda, alpaqa_length_t *size)
 Provide the initial values for alpaqa::BoxConstrProblem::l1_reg, the ℓ₁-regularization factor.
 

Member Data Documentation

◆ n

alpaqa_length_t n { 0 }

Number of decision variables.

See also
alpaqa::TypeErasedProblem::get_n()

Definition at line 213 of file dl-problem.h.

◆ m

alpaqa_length_t m { 0 }

Number of constraints.

See also
alpaqa::TypeErasedProblem::get_m()

Definition at line 216 of file dl-problem.h.

◆ name

const char* name { nullptr }

Name of the problem.

See also
alpaqa::TypeErasedProblem::get_name()

Definition at line 219 of file dl-problem.h.

◆ eval_f

alpaqa_real_t(* eval_f) (void *instance, const alpaqa_real_t *x)
inline

Cost function.

See also
alpaqa::TypeErasedProblem::eval_f()

Definition at line 224 of file dl-problem.h.

◆ eval_grad_f

void(* eval_grad_f) (void *instance, const alpaqa_real_t *x, alpaqa_real_t *grad_fx)
inline

Gradient of the cost function.

See also
alpaqa::TypeErasedProblem::eval_grad_f()

Definition at line 229 of file dl-problem.h.

◆ eval_g

void(* eval_g) (void *instance, const alpaqa_real_t *x, alpaqa_real_t *gx)
inline

Constraints function.

See also
alpaqa::TypeErasedProblem::eval_g()

Definition at line 235 of file dl-problem.h.

◆ eval_grad_g_prod

void(* eval_grad_g_prod) (void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, alpaqa_real_t *grad_gxy)
inline

Gradient-vector product of the constraints function.

See also
alpaqa::TypeErasedProblem::eval_grad_g_prod()

Definition at line 241 of file dl-problem.h.

◆ eval_proj_diff_g

void(* eval_proj_diff_g) (void *instance, const alpaqa_real_t *z, alpaqa_real_t *e)
inline

Difference between point and its projection onto the general constraint set D.

See also
alpaqa::TypeErasedProblem::eval_proj_diff_g()

Definition at line 250 of file dl-problem.h.

◆ eval_proj_multipliers

void(* eval_proj_multipliers) (void *instance, alpaqa_real_t *y, alpaqa_real_t M)

Project the Lagrange multipliers.

See also
alpaqa::TypeErasedProblem::eval_proj_multipliers()

Definition at line 256 of file dl-problem.h.

◆ eval_prox_grad_step

alpaqa_real_t(* eval_prox_grad_step) (void *instance, alpaqa_real_t γ, const alpaqa_real_t *x, const alpaqa_real_t *grad_ψ, alpaqa_real_t *x̂, alpaqa_real_t *p)
inline

Proximal gradient step.

See also
alpaqa::TypeErasedProblem::eval_prox_grad_step() If not set, the default implementation from alpaqa::BoxConstrProblem is used.

Definition at line 263 of file dl-problem.h.

◆ eval_inactive_indices_res_lna

alpaqa_index_t(* eval_inactive_indices_res_lna) (void *instance, alpaqa_real_t γ, const alpaqa_real_t *x, const alpaqa_real_t *grad_ψ, alpaqa_index_t *J)
inline

Active indices for proximal operator.

See also
alpaqa::TypeErasedProblem::eval_inactive_indices_res_lna() If not set, the default implementation from alpaqa::BoxConstrProblem is used.

Definition at line 274 of file dl-problem.h.

◆ eval_jac_g

void(* eval_jac_g) (void *instance, const alpaqa_real_t *x, alpaqa_real_t *J_values)
inline

Jacobian of the constraints function.

See also
alpaqa::TypeErasedProblem::eval_jac_g()

Definition at line 283 of file dl-problem.h.

◆ get_jac_g_sparsity

alpaqa_sparsity_t(* get_jac_g_sparsity) (void *instance)
inline

Get the sparsity pattern of the Jacobian of the constraints function.

See also
alpaqa::TypeErasedProblem::get_jac_g_sparsity()

Definition at line 289 of file dl-problem.h.

◆ eval_grad_gi

void(* eval_grad_gi) (void *instance, const alpaqa_real_t *x, alpaqa_index_t i, alpaqa_real_t *grad_gi)
inline

Gradient of specific constraint function.

See also
alpaqa::TypeErasedProblem::eval_grad_gi()

Definition at line 293 of file dl-problem.h.

◆ eval_hess_L_prod

void(* eval_hess_L_prod) (void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, alpaqa_real_t scale, const alpaqa_real_t *v, alpaqa_real_t *Hv)
inline

Hessian-vector product of the Lagrangian.

See also
alpaqa::TypeErasedProblem::eval_hess_L_prod()

Definition at line 300 of file dl-problem.h.

◆ eval_hess_L

void(* eval_hess_L) (void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, alpaqa_real_t scale, alpaqa_real_t *H_values)
inline

Hessian of the Lagrangian.

See also
alpaqa::TypeErasedProblem::eval_hess_L()

Definition at line 309 of file dl-problem.h.

◆ get_hess_L_sparsity

alpaqa_sparsity_t(* get_hess_L_sparsity) (void *instance)
inline

Get the sparsity pattern of the Hessian of the Lagrangian.

See also
alpaqa::TypeErasedProblem::get_hess_L_sparsity()

Definition at line 317 of file dl-problem.h.

◆ eval_hess_ψ_prod

void(* eval_hess_ψ_prod) (void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, const alpaqa_real_t *Σ, alpaqa_real_t scale, const alpaqa_real_t *zl, const alpaqa_real_t *zu, const alpaqa_real_t *v, alpaqa_real_t *Hv)
inline

Hessian-vector product of the augmented Lagrangian.

See also
alpaqa::TypeErasedProblem::eval_hess_ψ_prod()

Definition at line 321 of file dl-problem.h.

◆ eval_hess_ψ

void(* eval_hess_ψ) (void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, const alpaqa_real_t *Σ, alpaqa_real_t scale, const alpaqa_real_t *zl, const alpaqa_real_t *zu, alpaqa_real_t *H_values)
inline

Hessian of the augmented Lagrangian.

See also
alpaqa::TypeErasedProblem::eval_hess_ψ()

Definition at line 333 of file dl-problem.h.

◆ get_hess_ψ_sparsity

alpaqa_sparsity_t(* get_hess_ψ_sparsity) (void *instance)
inline

Get the sparsity pattern of the Hessian of the augmented Lagrangian.

See also
alpaqa::TypeErasedProblem::get_hess_ψ_sparsity()

Definition at line 344 of file dl-problem.h.

◆ eval_f_grad_f

alpaqa_real_t(* eval_f_grad_f) (void *instance, const alpaqa_real_t *x, alpaqa_real_t *grad_fx)
inline

Cost and its gradient.

See also
alpaqa::TypeErasedProblem::eval_f_grad_f()

Definition at line 349 of file dl-problem.h.

◆ eval_f_g

alpaqa_real_t(* eval_f_g) (void *instance, const alpaqa_real_t *x, alpaqa_real_t *g)
inline

Cost and constraints.

See also
alpaqa::TypeErasedProblem::eval_f_g()

Definition at line 355 of file dl-problem.h.

◆ eval_grad_f_grad_g_prod

void(* eval_grad_f_grad_g_prod) (void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, alpaqa_real_t *grad_f, alpaqa_real_t *grad_gxy)
inline

Gradient of the cost and gradient-vector product of the constraints.

See also
alpaqa::TypeErasedProblem::eval_grad_f_grad_g_prod()

Definition at line 361 of file dl-problem.h.

◆ eval_grad_L

void(* eval_grad_L) (void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, alpaqa_real_t *grad_L, alpaqa_real_t *work_n)
inline

Gradient of the Lagrangian.

See also
alpaqa::TypeErasedProblem::eval_grad_L()

Definition at line 369 of file dl-problem.h.

◆ eval_ψ

alpaqa_real_t(* eval_ψ) (void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, const alpaqa_real_t *Σ, const alpaqa_real_t *zl, const alpaqa_real_t *zu, alpaqa_real_t *ŷ)
inline

Augmented Lagrangian.

See also
alpaqa::TypeErasedProblem::eval_ψ()

Definition at line 378 of file dl-problem.h.

◆ eval_grad_ψ

void(* eval_grad_ψ) (void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, const alpaqa_real_t *Σ, const alpaqa_real_t *zl, const alpaqa_real_t *zu, alpaqa_real_t *grad_ψ, alpaqa_real_t *work_n, alpaqa_real_t *work_m)
inline

Gradient of the augmented Lagrangian.

See also
alpaqa::TypeErasedProblem::eval_grad_ψ()

Definition at line 388 of file dl-problem.h.

◆ eval_ψ_grad_ψ

alpaqa_real_t(* eval_ψ_grad_ψ) (void *instance, const alpaqa_real_t *x, const alpaqa_real_t *y, const alpaqa_real_t *Σ, const alpaqa_real_t *zl, const alpaqa_real_t *zu, alpaqa_real_t *grad_ψ, alpaqa_real_t *work_n, alpaqa_real_t *work_m)
inline

Augmented Lagrangian and its gradient.

See also
alpaqa::TypeErasedProblem::eval_ψ_grad_ψ()

Definition at line 400 of file dl-problem.h.

◆ initialize_box_C

void(* initialize_box_C) (void *instance, alpaqa_real_t *lb, alpaqa_real_t *ub)
inline

Provide the initial values for the bounds of alpaqa::BoxConstrProblem::C, i.e.

the constraints on the decision variables.

Definition at line 414 of file dl-problem.h.

◆ initialize_box_D

void(* initialize_box_D) (void *instance, alpaqa_real_t *lb, alpaqa_real_t *ub)
inline

Provide the initial values for the bounds of alpaqa::BoxConstrProblem::D, i.e.

the general constraints.

Definition at line 420 of file dl-problem.h.

◆ initialize_l1_reg

void(* initialize_l1_reg) (void *instance, alpaqa_real_t *lambda, alpaqa_length_t *size)
inline

Provide the initial values for alpaqa::BoxConstrProblem::l1_reg, the ℓ₁-regularization factor.

This function is called twice:

  1. with lambda set to nullptr, and the user should set the size.
  2. with lambda pointing to an array of that size, and the user should initialize this array.

Definition at line 430 of file dl-problem.h.


The documentation for this struct was generated from the following file: