PolyhedralContracts
Specializes IO contract into contracts with polyhedral assumptions and guarantees.
NestedPolyhedra
¶
Bases: NestedTermList
A collection of polyhedral termlists interpreted as their disjunction.
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
__init__(nested_termlist, force_empty_intersection)
¶
Class constructor.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
nested_termlist
|
List[PolyhedralTermList]
|
A list of terms contained by TermList. |
required |
force_empty_intersection
|
bool
|
Raise error if the termlists are not disjoint. |
required |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
PolyhedralIoContract
¶
Bases: IoContract
IO Contracts with assumptions and guarantees expressed as polyhedral constraints.
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
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|
compose(other, vars_to_keep=None, simplify=True)
¶
Compose polyhedral contracts.
Compute the composition of the two given contracts and abstract the result in such a way that the result is a well-defined IO contract, i.e., that assumptions refer only to inputs, and guarantees to both inputs and outputs.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
other
|
PolyhedralIoContract
|
The second contract being composed. |
required |
vars_to_keep
|
Optional[List[str]]
|
A list of variables that should be kept as top-level outputs. |
None
|
simplify
|
bool
|
Whether to simplify the result of variable elimination by refining or relaxing. |
True
|
Returns:
Type | Description |
---|---|
PolyhedralIoContract
|
The abstracted composition of the two contracts. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
compose_tactics(other, vars_to_keep=None, simplify=True, tactics_order=None)
¶
Compose polyhedral contracts.
Compute the composition of the two given contracts and abstract the result in such a way that the result is a well-defined IO contract, i.e., that assumptions refer only to inputs, and guarantees to both inputs and outputs.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
other
|
PolyhedralIoContract
|
The second contract being composed. |
required |
vars_to_keep
|
Optional[List[str]]
|
A list of variables that should be kept as top-level outputs. |
None
|
simplify
|
bool
|
Whether to simplify the result of variable elimination by refining or relaxing. |
True
|
tactics_order
|
Optional[List[int]]
|
The order of tactics to try for variable term elimination. |
None
|
Returns:
Type | Description |
---|---|
Tuple[PolyhedralIoContract, List[TacticStatistics]]
|
The tuple of the abstracted composition of the two contracts and of the list of tactics used. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
from_dict(contract, simplify=True)
staticmethod
¶
Create contract from a dictionary.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
contract
|
dict
|
a dictionary containing the contract's data. |
required |
simplify
|
bool
|
whether to simplify the guarantees with respect to the assumptions. |
True
|
Returns:
Type | Description |
---|---|
PolyhedralIoContract
|
A polyhedral contract built from the arguments provided. |
Raises:
Type | Description |
---|---|
ValueError
|
dictionary provided was not well-formed. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
from_strings(assumptions, guarantees, input_vars, output_vars, simplify=True)
staticmethod
¶
Create contract from several lists of strings.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
assumptions
|
List[str]
|
contract's assumptions. |
required |
guarantees
|
List[str]
|
contract's guarantees. |
required |
input_vars
|
List[str]
|
input variables of contract. |
required |
output_vars
|
List[str]
|
output variables of contract. |
required |
simplify
|
bool
|
whether to simplify the guarantees with respect to the assumptions. |
True
|
Returns:
Type | Description |
---|---|
PolyhedralIoContract
|
A polyhedral contract built from the arguments provided. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
get_variable_bounds(var)
¶
Obtain bounds for a variable in the context of a contract.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
var
|
str
|
variable whose bounds are sought. |
required |
Returns:
Type | Description |
---|---|
Tuple[Optional[numeric], Optional[numeric]]
|
The minimum and maximum values for the variable in the context of the contract. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
optimize(expr, maximize=True)
¶
Optimize linear objective over the contract.
Compute the optima of a linear objective over the assumptions and guarantees of the contract.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
expr
|
str
|
linear objective being optimized. |
required |
maximize
|
bool
|
Maximize if True; minimize if False. |
True
|
Returns:
Type | Description |
---|---|
Optional[numeric]
|
The optimal value of the objective in the context of the contract. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
quotient(other, additional_inputs=None, simplify=True)
¶
Quotient polyhedral contracts.
Compute the quotient of the two given contracts and abstract the result in such a way that the result is a well-defined IO contract, i.e., that assumptions refer only to inputs, and guarantees to both inputs and outputs.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
other
|
PolyhedralIoContract
|
The contract by which we take the quotient. |
required |
additional_inputs
|
Optional[List[Var]]
|
Additional variables that the quotient is allowed to consider as inputs. These variables can be either top level-inputs or outputs of the other argument. |
None
|
simplify
|
bool
|
Whether to simplify the result of variable elimination by refining or relaxing. |
True
|
Returns:
Type | Description |
---|---|
PolyhedralIoContract
|
The abstracted quotient of the two contracts. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
quotient_tactics(other, additional_inputs=None, simplify=True, tactics_order=None)
¶
Quotient polyhedral contracts with support for specifying the order of tactics and measuring their use.
Compute the quotient of the two given contracts and abstract the result in such a way that the result is a well-defined IO contract, i.e., that assumptions refer only to inputs, and guarantees to both inputs and outputs.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
other
|
PolyhedralIoContract
|
The contract by which we take the quotient. |
required |
additional_inputs
|
Optional[List[Var]]
|
Additional variables that the quotient is allowed to consider as inputs. These variables can be either top level-inputs or outputs of the other argument. |
None
|
simplify
|
bool
|
Whether to simplify the result of variable elimination by refining or relaxing. |
True
|
tactics_order
|
Optional[List[int]]
|
The order of tactics to try for variable term elimination. |
None
|
Returns:
Type | Description |
---|---|
Tuple[PolyhedralIoContract, List[TacticStatistics]]
|
The tuple of the abstracted quotient of the two contracts and of the list of tactics used. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
rename_variables(variable_mappings)
¶
Rename variables in a contract.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
variable_mappings
|
List[Tuple[str, str]]
|
Variables to be replaced. |
required |
Returns:
Type | Description |
---|---|
PolyhedralIoContract
|
A contract with |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
to_dict()
¶
Map contract into a user-readable dictionary.
Returns:
Type | Description |
---|---|
dict
|
A dictionary containing the contract's information. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
to_machine_dict()
¶
Map contract into a machine-optimized dictionary.
Returns:
Type | Description |
---|---|
ser_contract
|
A dictionary containing the contract's information. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
PolyhedralIoContractCompound
¶
Bases: IoContractCompound
Compound IO contract with polyhedral assumptions and guarantees.
Attributes:
Name | Type | Description |
---|---|---|
inputvars |
Variables which are inputs of the implementations of the contract. |
|
outputvars |
Variables which are outputs of the implementations of the contract. |
|
a |
NestedTermlist_t
|
Contract assumptions. |
g |
NestedTermlist_t
|
Contract guarantees. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
from_strings(assumptions, guarantees, input_vars, output_vars)
staticmethod
¶
Create contract from several lists of strings.
Parameters:
Name | Type | Description | Default |
---|---|---|---|
assumptions
|
List[list[str]]
|
contract's assumptions. |
required |
guarantees
|
List[list[str]]
|
contract's guarantees. |
required |
input_vars
|
List[str]
|
input variables of contract. |
required |
output_vars
|
List[str]
|
output variables of contract. |
required |
Returns:
Type | Description |
---|---|
PolyhedralIoContractCompound
|
A polyhedral contract built from the arguments provided. |
Source code in pacti\src\pacti\contracts\polyhedral_iocontract.py
to_dict()
¶
Map contract into a user-readable dictionary.
Returns:
Type | Description |
---|---|
dict
|
A dictionary containing the contract's information. |