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use super::*;
use crate::{
constraint_type::{ConstraintCollection, ConstraintType},
ATol, Evaluate,
};
use std::{collections::BTreeMap, ops::Neg};
fn convert_objective_pair(sense: &mut Sense, objective: &mut Function, target: Sense) -> bool {
if *sense == target {
false
} else {
*sense = target;
*objective = std::mem::take(objective).neg();
true
}
}
impl Instance {
/// Convert only the active, solver-facing objective to `target`.
///
/// # Postconditions
///
/// Only the active pair changes, while evaluation retains the entry output
/// semantics even if a later conversion makes both pairs structurally equal.
///
/// ```
/// use ommx::{
/// linear, v1::State, ATol, DecisionVariable, Evaluate, Function, Instance,
/// Sampled, Sense, VariableID,
/// };
/// use std::collections::{BTreeMap, HashMap};
///
/// let original = Function::from(linear!(1));
/// let mut instance = Instance::builder()
/// .sense(Sense::Maximize)
/// .objective(original.clone())
/// .decision_variables(BTreeMap::from([(
/// VariableID::from(1),
/// DecisionVariable::binary(),
/// )]))
/// .constraints(BTreeMap::new())
/// .build()
/// .unwrap();
/// let state = State::from(HashMap::from([(1, 1.0)]));
///
/// assert!(instance.convert_active_objective(Sense::Minimize));
/// assert_eq!(instance.sense(), Sense::Minimize);
/// assert_eq!(instance.objective().evaluate(&state, ATol::default()).unwrap(), -1.0);
/// assert!(!instance.convert_active_objective(Sense::Minimize));
///
/// let solution = instance.evaluate(&state, ATol::default()).unwrap();
/// let sample_set = instance
/// .evaluate_samples(&Sampled::from(state), ATol::default())
/// .unwrap();
/// assert_eq!(*solution.sense(), Some(Sense::Maximize));
/// assert_eq!(*solution.objective(), 1.0);
/// assert_eq!(*sample_set.sense(), Sense::Maximize);
/// let sample_id = sample_set.sample_ids().into_iter().next().unwrap();
/// assert_eq!(sample_set.objectives().get(sample_id), Some(&1.0));
///
/// assert!(instance.convert_active_objective(Sense::Maximize));
/// let output = instance.output_objective().unwrap();
/// assert_eq!(output.sense(), instance.sense());
/// assert_eq!(output.function(), instance.objective());
/// ```
pub fn convert_active_objective(&mut self, target: Sense) -> bool {
if self.sense == target {
return false;
}
self.capture_output_objective();
convert_objective_pair(&mut self.sense, &mut self.objective, target)
}
/// Convert the complete instance objective semantics to minimization.
///
/// # Postconditions
///
/// Both active and output objective semantics become minimization semantics.
/// An existing output objective remains explicit even if both pairs become
/// structurally equal.
///
/// ```
/// use ommx::{
/// linear, v1::State, ATol, DecisionVariable, Evaluate, Function, Instance,
/// Sense, VariableID,
/// };
/// use std::collections::{BTreeMap, HashMap};
///
/// let mut instance = Instance::builder()
/// .sense(Sense::Maximize)
/// .objective(Function::from(linear!(1)))
/// .decision_variables(BTreeMap::from([(
/// VariableID::from(1),
/// DecisionVariable::binary(),
/// )]))
/// .constraints(BTreeMap::new())
/// .build()
/// .unwrap();
/// let state = State::from(HashMap::from([(1, 1.0)]));
///
/// assert!(instance.convert_active_objective(Sense::Minimize));
/// assert!(instance.as_minimization_problem());
/// assert_eq!(instance.sense(), Sense::Minimize);
/// assert_eq!(instance.objective().evaluate(&state, ATol::default()).unwrap(), -1.0);
/// let output = instance.output_objective().unwrap();
/// assert_eq!(output.sense(), instance.sense());
/// assert_eq!(output.function(), instance.objective());
/// let solution = instance.evaluate(&state, ATol::default()).unwrap();
/// assert_eq!(*solution.sense(), Some(Sense::Minimize));
/// assert_eq!(*solution.objective(), -1.0);
/// assert!(!instance.as_minimization_problem());
/// ```
pub fn as_minimization_problem(&mut self) -> bool {
self.convert_problem_objective(Sense::Minimize)
}
/// Convert the complete instance objective semantics to maximization.
///
/// # Postconditions
///
/// Both active and output objective semantics become maximization semantics.
/// An existing output objective remains explicit even if both pairs become
/// structurally equal.
///
/// ```
/// use ommx::{
/// linear, v1::State, ATol, DecisionVariable, Evaluate, Function, Instance,
/// Sense, VariableID,
/// };
/// use std::collections::{BTreeMap, HashMap};
///
/// let mut instance = Instance::builder()
/// .sense(Sense::Minimize)
/// .objective(Function::from(linear!(1)))
/// .decision_variables(BTreeMap::from([(
/// VariableID::from(1),
/// DecisionVariable::binary(),
/// )]))
/// .constraints(BTreeMap::new())
/// .build()
/// .unwrap();
/// let state = State::from(HashMap::from([(1, 1.0)]));
///
/// assert!(instance.as_maximization_problem());
/// assert_eq!(instance.sense(), Sense::Maximize);
/// assert_eq!(instance.objective().evaluate(&state, ATol::default()).unwrap(), -1.0);
/// let solution = instance.evaluate(&state, ATol::default()).unwrap();
/// assert_eq!(*solution.sense(), Some(Sense::Maximize));
/// assert_eq!(*solution.objective(), -1.0);
/// assert!(!instance.as_maximization_problem());
/// ```
pub fn as_maximization_problem(&mut self) -> bool {
self.convert_problem_objective(Sense::Maximize)
}
fn convert_problem_objective(&mut self, target: Sense) -> bool {
let active_converted = convert_objective_pair(&mut self.sense, &mut self.objective, target);
let output_converted = if let Some(output) = &mut self.output_objective {
convert_objective_pair(&mut output.sense, &mut output.function, target)
} else {
false
};
active_converted || output_converted
}
}
impl From<Instance> for ParametricInstance {
fn from(
Instance {
sense,
objective,
output_objective,
decision_variables,
constraint_collection,
indicator_constraint_collection,
one_hot_constraint_collection,
sos1_constraint_collection,
decision_variable_dependency,
description,
annotations,
named_functions,
..
}: Instance,
) -> Self {
ParametricInstance {
sense,
objective,
output_objective,
decision_variables,
parameters: ParameterTable::default(),
constraint_collection,
indicator_constraint_collection,
one_hot_constraint_collection,
sos1_constraint_collection,
decision_variable_dependency,
description,
annotations,
named_functions,
}
}
}
fn materialize_constraint_collection_parameters<T: ConstraintType>(
collection: &mut ConstraintCollection<T>,
state: &crate::v1::State,
atol: ATol,
) -> crate::Result<()> {
let mut active_replacements = BTreeMap::new();
for (&id, constraint) in collection.active() {
let mut constraint = constraint.clone();
constraint.partial_evaluate(state, atol).inspect_err(|e| {
tracing::error!(?id, error = %e, "failed to partial_evaluate active constraint");
})?;
active_replacements.insert(id, constraint);
}
let mut removed_replacements = BTreeMap::new();
for (&id, (constraint, _reason)) in collection.removed() {
let mut constraint = constraint.clone();
constraint.partial_evaluate(state, atol).inspect_err(|e| {
tracing::error!(?id, error = %e, "failed to partial_evaluate removed constraint");
})?;
removed_replacements.insert(id, constraint);
}
collection.replace_rows_preserving_lifecycle(active_replacements, removed_replacements)
}
impl ParametricInstance {
/// Materialize every parameter into an [`Instance`].
///
/// # Postconditions
///
/// Materialization removes parameter IDs from both active and output objectives.
/// An existing output objective remains explicit even if specialization
/// makes it structurally equal to the active objective.
///
/// ```
/// use ommx::{
/// linear, v1::{Parameters, State}, ATol, Constraint, ConstraintID,
/// DecisionVariable, Evaluate, Function, Instance, Sense, VariableID,
/// };
/// use std::collections::{BTreeMap, HashMap};
///
/// let variable = VariableID::from(1);
/// let source = Instance::builder()
/// .sense(Sense::Minimize)
/// .objective(Function::from(linear!(1)))
/// .decision_variables(BTreeMap::from([(variable, DecisionVariable::binary())]))
/// .constraints(BTreeMap::from([(
/// ConstraintID::from(1),
/// Constraint::equal_to_zero(Function::from(linear!(1))),
/// )]))
/// .build()
/// .unwrap();
/// let parametric = source.uniform_penalty_method().unwrap();
/// let penalty = *parametric.parameters().keys().next().unwrap();
/// let mut parameters = Parameters::default();
/// parameters.entries.insert(penalty.into_inner(), 2.0);
/// let instance = parametric.with_parameters(parameters).unwrap();
///
/// assert!(instance.objective().required_ids().contains(&variable));
/// assert!(!instance.objective().required_ids().contains(&penalty));
/// assert_eq!(instance.output_objective().unwrap().sense(), Sense::Minimize);
/// assert!(!instance.output_objective().unwrap().preserves_optimality());
/// let solution = instance
/// .evaluate(&State::from(HashMap::from([(1, 0.0)])), ATol::default())
/// .unwrap();
/// assert_eq!(*solution.objective(), 0.0);
/// ```
pub fn with_parameters(self, parameters: crate::v1::Parameters) -> crate::Result<Instance> {
use std::collections::BTreeSet;
// Convert v1::Parameters to BTreeMap for validation and processing
let param_map: BTreeMap<VariableID, f64> = parameters
.entries
.iter()
.map(|(k, v)| (VariableID::from(*k), *v))
.collect();
// Check that all required parameters are provided
let required_ids: BTreeSet<VariableID> = self.parameters.keys().cloned().collect();
let given_ids: BTreeSet<VariableID> = param_map.keys().cloned().collect();
if !required_ids.is_subset(&given_ids) {
let missing_ids: Vec<VariableID> =
required_ids.difference(&given_ids).cloned().collect();
crate::bail!(
{ ?missing_ids },
"Missing parameters: required IDs {required_ids:?}, got {given_ids:?}",
);
}
// Create state from parameters
let state = crate::v1::State {
entries: parameters.entries.clone(),
};
let atol = ATol::default();
// Partially evaluate the active and output objectives, constraints,
// and named functions.
let mut objective = self.objective;
objective.partial_evaluate(&state, atol)?;
let mut output_objective = self.output_objective;
if let Some(output_objective) = &mut output_objective {
output_objective.function.partial_evaluate(&state, atol)?;
}
// Both active and removed regular constraint bodies need the parameter
// substitution applied — otherwise the resulting `Instance` would
// carry dangling parameter IDs in `removed_constraints`, violating
// its own invariants.
let mut constraint_collection = self.constraint_collection;
materialize_constraint_collection_parameters(&mut constraint_collection, &state, atol)?;
// Indicator constraint function bodies may also reference parameter
// IDs (the structural indicator variable does not, by construction).
// Apply the same substitution to active and removed maps.
let mut indicator_constraint_collection = self.indicator_constraint_collection;
materialize_constraint_collection_parameters(
&mut indicator_constraint_collection,
&state,
atol,
)?;
let mut named_functions = self.named_functions;
named_functions.partial_evaluate(&state, atol)?;
// Decision-variable dependency RHS expressions can also reference
// parameter IDs. Without substitution, dependent-variable
// expressions in the resulting `Instance` would carry dangling
// parameter references.
let mut decision_variable_dependency = self.decision_variable_dependency;
decision_variable_dependency.partial_evaluate(&state, atol)?;
Ok(Instance {
sense: self.sense,
objective,
output_objective,
decision_variables: self.decision_variables,
constraint_collection,
indicator_constraint_collection,
// OneHot / SOS1 constraints are purely structural — their
// variable sets are always real decision variables (the
// parametric builder rejects parameter IDs there), so there is
// nothing to substitute and the collections pass through
// unchanged.
one_hot_constraint_collection: self.one_hot_constraint_collection,
sos1_constraint_collection: self.sos1_constraint_collection,
named_functions,
decision_variable_dependency,
parameters: Some(parameters),
description: self.description,
annotations: self.annotations,
})
}
}
#[cfg(test)]
mod output_objective_tests {
use super::*;
use crate::{linear, v1::State, ATol, DecisionVariable, Evaluate, Sampled};
use std::collections::{BTreeMap, HashMap};
fn maximizing_binary_instance() -> Instance {
Instance::builder()
.sense(Sense::Maximize)
.objective(Function::from(linear!(1)))
.decision_variables(BTreeMap::from([(
VariableID::from(1),
DecisionVariable::binary(),
)]))
.constraints(BTreeMap::new())
.build()
.unwrap()
}
fn assert_evaluation(instance: &Instance, sense: Sense, objective: f64) {
let state = State::from(HashMap::from([(1, 1.0)]));
let solution = instance.evaluate(&state, ATol::default()).unwrap();
assert_eq!(*solution.sense(), Some(sense));
assert_eq!(*solution.objective(), objective);
let sample_set = instance
.evaluate_samples(&Sampled::from(state), ATol::default())
.unwrap();
assert_eq!(*sample_set.sense(), sense);
let sample_id = sample_set.sample_ids().into_iter().next().unwrap();
assert_eq!(sample_set.objectives().get(sample_id), Some(&objective));
}
#[test]
fn conversions_preserve_false_optimality_transport() {
let mut instance = maximizing_binary_instance();
let original_objective = instance.objective().clone();
instance.output_objective = Some(OutputObjective::new(
Sense::Maximize,
original_objective.clone(),
false,
));
assert!(instance.convert_active_objective(Sense::Minimize));
let output = instance.output_objective().unwrap();
assert_eq!(output.sense(), Sense::Maximize);
assert_eq!(output.function(), &original_objective);
assert!(!output.preserves_optimality());
assert_evaluation(&instance, Sense::Maximize, 1.0);
// The false flag is independent output semantics, so the sidecar must
// remain present even when the active and output pairs become identical.
assert!(instance.as_minimization_problem());
let output = instance.output_objective().unwrap();
assert_eq!(output.sense(), Sense::Minimize);
assert_eq!(output.function(), instance.objective());
assert!(!output.preserves_optimality());
assert_evaluation(&instance, Sense::Minimize, -1.0);
assert!(instance.as_maximization_problem());
let output = instance.output_objective().unwrap();
assert_eq!(output.sense(), Sense::Maximize);
assert_eq!(output.function(), instance.objective());
assert!(!output.preserves_optimality());
assert_evaluation(&instance, Sense::Maximize, 1.0);
}
#[test]
fn with_parameters_specializes_parameterized_output_objective() {
let output_function = Function::from((linear!(1) + linear!(100)).unwrap());
let mut parametric = ParametricInstance::new(
Sense::Minimize,
output_function.clone().neg(),
BTreeMap::from([(VariableID::from(1), DecisionVariable::continuous())]),
ParameterTable::from_ids([VariableID::from(100)].into_iter().collect()),
BTreeMap::new(),
)
.unwrap();
parametric.output_objective =
Some(OutputObjective::new(Sense::Maximize, output_function, true));
let materialized = parametric
.with_parameters(crate::v1::Parameters {
entries: HashMap::from([(100, 2.0)]),
})
.unwrap();
let output = materialized.output_objective().unwrap();
assert_eq!(
output.function(),
&Function::from((linear!(1) + crate::coeff!(2.0)).unwrap())
);
assert_eq!(
output.function().required_ids(),
VariableIDSet::from([VariableID::from(1)])
);
assert!(output.preserves_optimality());
let solution = materialized
.evaluate(&State::from(HashMap::from([(1, 3.0)])), ATol::default())
.unwrap();
assert_eq!(*solution.sense(), Some(Sense::Maximize));
assert_eq!(*solution.objective(), 5.0);
}
#[test]
fn with_parameters_preserves_output_objective_when_it_matches_active() {
let mut parametric = ParametricInstance::new(
Sense::Minimize,
Function::from(linear!(1)),
BTreeMap::from([(VariableID::from(1), DecisionVariable::continuous())]),
ParameterTable::from_ids([VariableID::from(100)].into_iter().collect()),
BTreeMap::new(),
)
.unwrap();
parametric.output_objective = Some(OutputObjective::new(
Sense::Minimize,
Function::from((linear!(1) + linear!(100)).unwrap()),
true,
));
let materialized = parametric
.with_parameters(crate::v1::Parameters {
entries: HashMap::from([(100, 0.0)]),
})
.unwrap();
let output = materialized.output_objective().unwrap();
assert_eq!(output.sense(), materialized.sense());
assert_eq!(output.function(), materialized.objective());
assert!(output.preserves_optimality());
assert!(materialized.to_v1_bytes().is_err());
}
}
#[cfg(test)]
mod with_parameters_tests {
use super::*;
use crate::{coeff, linear, Equality, Function};
use maplit::btreemap;
fn parameters(ids: impl IntoIterator<Item = VariableID>) -> ParameterTable {
ParameterTable::from_ids(ids.into_iter().collect())
}
/// Parameter substitution must apply to the right-hand-side of
/// `decision_variable_dependency` entries. The RHS is a `Function`
/// over defined decision-variable or parameter IDs, so a parameter
/// reference there would dangle in the resulting `Instance` without
/// explicit substitution.
#[test]
fn decision_variable_dependency_rhs_is_substituted() {
use crate::AcyclicAssignments;
let x = VariableID::from(1);
let dep = VariableID::from(2);
let p = VariableID::from(100);
// Dependency: dep_var = x + p (RHS references a parameter).
let assignments =
AcyclicAssignments::new(vec![(dep, Function::from(linear!(1) + linear!(100)))])
.unwrap();
let parametric = ParametricInstance::builder()
.sense(Sense::Minimize)
.objective(Function::Zero)
.decision_variables(btreemap! {
x => DecisionVariable::binary(),
dep => DecisionVariable::binary(),
})
.parameters(parameters([p]))
.constraints(BTreeMap::new())
.decision_variable_dependency(assignments)
.build()
.unwrap();
let params = crate::v1::Parameters {
entries: std::collections::HashMap::from([(100, 1.0)]),
};
let instance = parametric.with_parameters(params).unwrap();
let dep_rhs = instance
.decision_variable_dependency()
.get(&dep)
.expect("dependency entry survives materialization");
let rhs_required: VariableIDSet = dep_rhs.required_ids();
assert!(
!rhs_required.contains(&p),
"parameter id {p:?} survived in dependency RHS: {rhs_required:?}",
);
assert!(
rhs_required.contains(&x),
"decision variable id {x:?} should remain in dependency RHS: {rhs_required:?}",
);
}
/// Parameter substitution must apply to *removed* regular constraints
/// as well. `ParametricInstance` permits removed-constraint bodies to
/// reference parameters (function bodies are unrestricted), but the
/// resulting `Instance` has no parameters at all — so any parameter id
/// left in a removed body would dangle.
#[test]
fn removed_regular_constraint_body_is_substituted() {
let x = VariableID::from(1);
let p = VariableID::from(100);
let c_active = Constraint::equal_to_zero(Function::from(linear!(1)));
let c_removed = Constraint::equal_to_zero(Function::from(linear!(1) + linear!(100)));
let parametric = ParametricInstance::builder()
.sense(Sense::Minimize)
.objective(Function::Zero)
.decision_variables(btreemap! {
x => DecisionVariable::binary(),
})
.parameters(parameters([p]))
.constraints(btreemap! {
ConstraintID::from(0) => c_active,
})
.removed_constraints(btreemap! {
ConstraintID::from(1) => (
c_removed,
crate::constraint::RemovedReason {
reason: "test".to_string(),
parameters: Default::default(),
},
),
})
.build()
.unwrap();
let params = crate::v1::Parameters {
entries: std::collections::HashMap::from([(100, 1.0)]),
};
let instance = parametric.with_parameters(params).unwrap();
let (rc, _r) = instance
.removed_constraints()
.get(&ConstraintID::from(1))
.unwrap();
let body_required: VariableIDSet = rc.stage.function.required_ids();
assert!(
!body_required.contains(&p),
"parameter id {p:?} survived in removed-constraint body: {body_required:?}",
);
}
/// Parameter substitution must apply to *removed* indicator constraints
/// too — the parametric builder accepts a removed-indicator map and the
/// `convert_*` paths can populate it. Without substitution, a
/// parameter id in a removed indicator body would dangle in the
/// materialized `Instance`.
#[test]
fn removed_indicator_function_body_is_substituted() {
let y = VariableID::from(1);
let x = VariableID::from(2);
let p = VariableID::from(100);
let indicator = crate::IndicatorConstraint::new(
y,
Equality::EqualToZero,
Function::from(linear!(2) + linear!(100)),
);
let parametric = ParametricInstance::builder()
.sense(Sense::Minimize)
.objective(Function::Zero)
.decision_variables(btreemap! {
y => DecisionVariable::binary(),
x => DecisionVariable::binary(),
})
.parameters(parameters([p]))
.constraints(BTreeMap::new())
.removed_indicator_constraints(btreemap! {
crate::IndicatorConstraintID::from(0) => (
indicator,
crate::constraint::RemovedReason {
reason: "test".to_string(),
parameters: Default::default(),
},
),
})
.build()
.unwrap();
let params = crate::v1::Parameters {
entries: std::collections::HashMap::from([(100, 1.0)]),
};
let instance = parametric.with_parameters(params).unwrap();
let (ic, _r) = instance
.removed_indicator_constraints()
.get(&crate::IndicatorConstraintID::from(0))
.expect("removed indicator survives materialization");
let body_required: VariableIDSet = ic.stage.function.required_ids();
assert!(
!body_required.contains(&p),
"parameter id {p:?} survived in removed-indicator body: {body_required:?}",
);
}
/// `ParametricInstance::with_parameters` must substitute parameter IDs
/// inside *indicator* function bodies, not just the objective and
/// regular constraint bodies. Otherwise the resulting `Instance`
/// carries dangling parameter IDs in its active indicator collection
/// and breaks its own invariants.
#[test]
fn indicator_function_body_is_substituted() {
// Indicator: y = 1 ⇒ (x + p - 1) == 0, where p is a parameter.
// After substituting p = 1, the body should read x + 0 = x.
let y = VariableID::from(1);
let x = VariableID::from(2);
let p = VariableID::from(100);
let indicator = crate::IndicatorConstraint::new(
y,
Equality::EqualToZero,
Function::from(((linear!(2) + linear!(100)).unwrap() + coeff!(-1.0)).unwrap()),
);
let parametric = ParametricInstance::builder()
.sense(Sense::Minimize)
.objective(Function::Zero)
.decision_variables(btreemap! {
y => DecisionVariable::binary(),
x => DecisionVariable::binary(),
})
.parameters(parameters([p]))
.constraints(BTreeMap::new())
.indicator_constraints(btreemap! {
crate::IndicatorConstraintID::from(0) => indicator,
})
.build()
.unwrap();
let params = crate::v1::Parameters {
entries: std::collections::HashMap::from([(100, 1.0)]),
};
let instance = parametric.with_parameters(params).unwrap();
// After substitution, the indicator body must no longer reference
// the parameter id 100.
let materialized = instance
.indicator_constraints()
.get(&crate::IndicatorConstraintID::from(0))
.unwrap();
let body_required: VariableIDSet = materialized.stage.function.required_ids();
assert!(
!body_required.contains(&p),
"parameter id {p:?} survived in indicator body after with_parameters: {body_required:?}",
);
assert!(
body_required.contains(&x),
"decision variable id {x:?} should remain in indicator body: {body_required:?}",
);
}
}