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CurrentModule = MathOptInterface
DocTestSetup = quote
    import MathOptInterface as MOI
end
DocTestFilters = [r"MathOptInterface|MOI"]

[Utilities.Model](@id reference_utilities_model)

Utilities.Model

[Utilities.UniversalFallback](@id reference_utilities_universal_fallback)

Utilities.UniversalFallback

[Utilities.@model](@id reference_model_macro)

Utilities.@model
Utilities.GenericModel
Utilities.GenericOptimizer

.objective

Utilities.ObjectiveContainer

.variables

Utilities.VariablesContainer
Utilities.FreeVariables

.constraints

Utilities.VectorOfConstraints
Utilities.StructOfConstraints
Utilities.@struct_of_constraints_by_function_types
Utilities.@struct_of_constraints_by_set_types
Utilities.struct_of_constraint_code

Caching optimizer

Utilities.CachingOptimizer
Utilities.CachingOptimizerState
Utilities.NO_OPTIMIZER
Utilities.EMPTY_OPTIMIZER
Utilities.ATTACHED_OPTIMIZER
Utilities.state
Utilities.CachingOptimizerMode
Utilities.AUTOMATIC
Utilities.MANUAL
Utilities.mode
Utilities.attach_optimizer
Utilities.reset_optimizer
Utilities.drop_optimizer

Mock optimizer

Utilities.MockOptimizer

Printing

Utilities.latex_formulation

Copy utilities

Utilities.default_copy_to
Utilities.IndexMap
Utilities.identity_index_map
Utilities.ModelFilter
Utilities.loadfromstring!

Penalty relaxation

Utilities.PenaltyRelaxation
Utilities.ScalarPenaltyRelaxation

MatrixOfConstraints

Utilities.MatrixOfConstraints

.coefficients

Utilities.add_column
Utilities.allocate_terms
Utilities.set_number_of_rows
Utilities.load_terms
Utilities.final_touch
Utilities.extract_function
Utilities.MutableSparseMatrixCSC
Utilities.AbstractIndexing
Utilities.ZeroBasedIndexing
Utilities.OneBasedIndexing

.constants

Utilities.load_constants
Utilities.function_constants
Utilities.set_from_constants
Utilities.modify_constants
Utilities.Hyperrectangle

.sets

Utilities.set_index
Utilities.set_types
Utilities.add_set
Utilities.rows
Utilities.num_rows
Utilities.set_with_dimension
Utilities.ProductOfSets
Utilities.MixOfScalarSets
Utilities.@mix_of_scalar_sets
Utilities.OrderedProductOfSets
Utilities.@product_of_sets

Fallbacks

Utilities.get_fallback

Function utilities

The following utilities are available for functions:

Utilities.eval_variables
Utilities.map_indices
Utilities.substitute_variables
Utilities.filter_variables
Utilities.remove_variable
Utilities.all_coefficients
Utilities.unsafe_add
Utilities.isapprox_zero
Utilities.modify_function
Utilities.zero_with_output_dimension

The following functions can be used to canonicalize a function:

Utilities.is_canonical
Utilities.canonical
Utilities.canonicalize!

The following functions can be used to manipulate functions with basic algebra:

Utilities.scalar_type
Utilities.scalarize
Utilities.eachscalar
Utilities.promote_operation
Utilities.operate
Utilities.operate!
Utilities.operate_output_index!
Utilities.vectorize

Constraint utilities

The following utilities are available for moving the function constant to the set for scalar constraints:

Utilities.shift_constant
Utilities.supports_shift_constant
Utilities.normalize_and_add_constraint
Utilities.normalize_constant

The following utility identifies those constraints imposing bounds on a given variable, and returns those bound values:

Utilities.get_bounds

The following utilities are useful when working with symmetric matrix cones.

Utilities.is_diagonal_vectorized_index
Utilities.side_dimension_for_vectorized_dimension

Set utilities

The following utilities are available for sets:

Utilities.AbstractDistance
Utilities.ProjectionUpperBoundDistance
Utilities.distance_to_set
Utilities.set_dot

DoubleDicts

Utilities.DoubleDicts.DoubleDict
Utilities.DoubleDicts.DoubleDictInner
Utilities.DoubleDicts.IndexDoubleDict
Utilities.DoubleDicts.IndexDoubleDictInner
Utilities.DoubleDicts.outer_keys
Utilities.DoubleDicts.nonempty_outer_keys