Source code for gamspy._algebra.expression

from __future__ import annotations

from dataclasses import dataclass
from typing import TYPE_CHECKING, Literal

import gamspy._algebra.condition as condition
import gamspy._algebra.domain as domain
import gamspy._algebra.number as number
import gamspy._algebra.operable as operable
import gamspy._algebra.operation as operation
import gamspy._symbols as gp_syms
import gamspy._validation as validation
import gamspy.utils as utils
from gamspy._config import get_option
from gamspy._extrinsic import ExtrinsicFunction
from gamspy._symbols.implicits import ImplicitSet
from gamspy._symbols.implicits.implicit_symbol import ImplicitSymbol
from gamspy._symbols.symbol import Symbol
from gamspy.exceptions import ValidationError
from gamspy.math.misc import MathOp

if TYPE_CHECKING:
    import pandas as pd

    from gamspy import Alias, Set
    from gamspy._symbols.implicits import ImplicitEquation
    from gamspy._types import OperableType

GMS_MAX_LINE_LENGTH = 80000
LINE_LENGTH_OFFSET = 79000


@dataclass
class DomainPlaceHolder:
    indices: list[tuple[str, int]]


def peek(stack):
    if len(stack) > 0:
        return stack[-1]
    return None


[docs] class Expression(operable.Operable): """ Expression of two operands and an operation. Parameters ---------- left: str | int | float | Parameter | Variable | None Left operand data: str Operation right: str | int | float | Parameter | Variable | None Right operand Examples -------- >>> import gamspy as gp >>> m = gp.Container() >>> a = gp.Parameter(m, name="a") >>> b = gp.Parameter(m, name="b") >>> expression = a * b >>> expression.gamsRepr() '(a * b)' """ def __init__( self, left: OperableType | ImplicitEquation | None, data: str, right: OperableType | str | None, ): self.left = ( utils._map_special_values(left) if isinstance(left, float) else left ) self.data = data self.right = ( utils._map_special_values(right) if isinstance(right, float) else right ) if data == "=" and isinstance(right, Expression): right._fix_equalities() if get_option("LAZY_EVALUATION"): self._representation = None else: self._representation = self._create_output_str() self.where = condition.Condition(self) self._create_domain() left_control = getattr(left, "controlled_domain", []) right_control = getattr(right, "controlled_domain", []) self.controlled_domain: list[Set | Alias] = list( {*left_control, *right_control} ) self.container = None if hasattr(left, "container"): self.container = left.container # type: ignore elif hasattr(right, "container"): self.container = right.container # type: ignore @property def representation(self) -> str: if self._representation is None: self._representation = self._create_output_str() return self._representation def _create_domain(self): for loc, result in ( (self.left, "_left_domain"), (self.right, "_right_domain"), ): if isinstance(loc, condition.Condition): loc = loc.conditioning_on if loc is None or isinstance(loc, (int, float, str)): result_domain = [] # left is a scalar elif isinstance(loc, domain.Domain): result_domain = loc.sets else: result_domain = loc.domain setattr(self, result, result_domain) left_domain = self._left_domain right_domain = self._right_domain set_to_index = {} for domain_char, domain_ptr in ( ("l", left_domain), ("r", right_domain), ): for i, d in enumerate(domain_ptr): if isinstance(d, str): continue # string domains are fixed and they do not count if d not in set_to_index: set_to_index[d] = [] set_to_index[d].append((domain_char, i)) shadow_domain = [] result_domain = [] for d in (*left_domain, *right_domain): if isinstance(d, str): continue if d not in result_domain: result_domain.append(d) indices = set_to_index[d] shadow_domain.append(DomainPlaceHolder(indices=indices)) self._shadow_domain = shadow_domain self.domain = result_domain self.dimension = validation.get_dimension(self.domain) def __getitem__(self, indices): indices = validation.validate_domain(self, indices) left_domain = [d for d in self._left_domain] right_domain = [d for d in self._right_domain] for i, s in enumerate(indices): for lr, pos in self._shadow_domain[i].indices: if lr == "l": left_domain[pos] = s else: right_domain[pos] = s left = self.left[left_domain] if left_domain else self.left right = self.right[right_domain] if right_domain else self.right return Expression(left, self.data, right) @property def records(self) -> pd.DataFrame | None: """ Evaluates the expression and returns the resulting records. Returns ------- pd.DataFrame | None Examples -------- >>> import gamspy as gp >>> m = gp.Container() >>> a = gp.Parameter(m, records=5) >>> b = gp.Parameter(m, records=6) >>> (a + b).records value 0 11.0 """ assert self.container is not None temp_name = "a" + utils._get_unique_name() temp_param = gp_syms.Parameter._constructor_bypass( self.container, temp_name, self.domain ) temp_param[...] = self del self.container.data[temp_name] return temp_param.records
[docs] def toValue(self) -> float | None: """ Convenience method to return expression records as a Python float. Only possible if there is a single record as a result of the expression evaluation. Returns ------- float | None Raises ------ TypeError In case the dimension of the expression is not zero. Examples -------- >>> import gamspy as gp >>> m = gp.Container() >>> a = gp.Parameter(m, records=5) >>> b = gp.Parameter(m, records=6) >>> (a + b).toValue() np.float64(11.0) """ if self.dimension != 0: raise TypeError( f"Cannot extract value data for non-scalar expressions (expression dimension is {self.dimension})" ) records = self.records if records is not None: return records["value"][0] return records
[docs] def toList(self) -> list | None: """ Convenience method to return the records of the expression as a list. Returns ------- list | None Examples -------- >>> import numpy as np >>> import gamspy as gp >>> m = gp.Container() >>> i = gp.Set(m, records=range(3)) >>> a = gp.Parameter(m, domain=i, records=np.array([1,2,3])) >>> b = gp.Parameter(m, domain=i, records=np.array([4,5,6])) >>> (a + b).toList() [['0', 5.0], ['1', 7.0], ['2', 9.0]] """ records = self.records if records is not None: return records.values.tolist() return None
def _get_operand_representations(self) -> tuple[str, str]: left_str, right_str = "", "" if self.left is not None: left_str = ( str(self.left) if isinstance(self.left, (int, float, str)) else self.left.gamsRepr() ) if self.right is not None: right_str = ( str(self.right) if isinstance(self.right, (int, float, str)) else self.right.gamsRepr() ) # ((((ord(n) - 1) / 10) * -1) + ((ord(n) / 10) * 0)); -> not valid # ((((ord(n) - 1) / 10) * (-1)) + ((ord(n) / 10) * 0)); -> valid if isinstance(self.left, (int, float)) and self.left < 0: left_str = f"({left_str})" if isinstance(self.right, (int, float)) and self.right < 0: right_str = f"({right_str})" # (voycap(j,k)$vc(j,k)) .. sum(.) -> not valid # voycap(j,k)$vc(j,k) .. sum(.) -> valid if self.data in ("..", "=") and isinstance( self.left, condition.Condition ): left_str = left_str[1:-1] return left_str, right_str def _create_output_str(self) -> str: left_str, right_str = self._get_operand_representations() # get around 80000 line length limitation in GAMS length = len(left_str) + len(self.data) + len(right_str) if length >= GMS_MAX_LINE_LENGTH - LINE_LENGTH_OFFSET: out_str = f"{left_str} {self.data}\n {right_str}" else: out_str = f"{left_str} {self.data} {right_str}" if self.data == ".": return out_str.replace(" ", "") if self.data in ("..", "="): return f"{out_str};" if self.data in ("=g=", "=l=", "=e=", "=n=", "=x=", "=c=", "=b="): return out_str return f"({out_str})" def __eq__(self, other): return Expression(self, "=e=", other) def __ne__(self, other): return Expression(self, "ne", other) def __bool__(self): raise ValidationError( "An expression cannot be used as a truth value. If you are " "trying to generate an expression, use binary operators " "instead (e.g. &, |, ^). For more details, see: " "https://gamspy.readthedocs.io/en/latest/user/gamspy_for_gams_users.html#logical-operations" ) def __repr__(self) -> str: return f"Expression(left={self.left}, data={self.data}, right={self.right})" def _replace_operator(self, operator: str): self.data = operator if not get_option("LAZY_EVALUATION"): self._representation = self._create_output_str()
[docs] def latexRepr(self) -> str: """ Representation of this Expression in Latex. Returns ------- str """ data_map = { "=g=": "\\geq", "=l=": "\\leq", "=e=": "=", "*": "\\cdot", "and": "\\wedge", "or": "\\vee", "xor": "\\oplus", "$": "|", } if isinstance(self.left, float): self.left = utils._map_special_values(self.left) if isinstance(self.right, float): self.right = utils._map_special_values(self.right) if self.left is None: left_str = "" else: left_str = ( str(self.left) if isinstance(self.left, (int, float, str)) else self.left.latexRepr() # type: ignore ) if self.right is None: right_str = "" else: right_str = ( str(self.right) if isinstance(self.right, (int, float, str)) else self.right.latexRepr() # type: ignore ) data = self.data if isinstance(self.data, str): data = data_map.get(self.data, self.data) data_str = ( str(data) if isinstance(data, (int, float, str)) else data.latexRepr() ) if self.data == "/": return f"\\frac{{{left_str}}}{{{right_str}}}" return f"({left_str} {data_str} {right_str})"
[docs] def gamsRepr(self) -> str: """ Representation of this Expression in GAMS language. Returns ------- str Examples -------- >>> import gamspy as gp >>> m = gp.Container() >>> a = gp.Parameter(m, name="a") >>> b = gp.Parameter(m, name="b") >>> expression = a * b >>> expression.gamsRepr() '(a * b)' """ return self.representation
[docs] def getDeclaration(self) -> str: """ Declaration of the Expression in GAMS Returns ------- str Examples -------- >>> import gamspy as gp >>> m = gp.Container() >>> a = gp.Parameter(m, name="a") >>> b = gp.Parameter(m, name="b") >>> expression = a * b >>> expression.getDeclaration() '(a * b)' """ return self.gamsRepr()
def _fix_equalities(self) -> None: # Equality operations on Parameter and Variable objects generate # GAMS equality signs: =g=, =e=, =l=. If these signs appear on # assignments, replace them with regular equality ops. # Uses a stack based post-order traversal algorithm. EQ_MAP: dict[str, str] = {"=g=": ">=", "=e=": "eq", "=l=": "<="} stack = [] root = self while True: while root is not None: if hasattr(root, "right"): stack.append(root.right) stack.append(root) root = root.left if hasattr(root, "left") else None # type: ignore if len(stack) == 0: break root = stack.pop() if isinstance(root, Expression): if root.data in EQ_MAP: root._replace_operator(EQ_MAP[root.data]) else: if not get_option("LAZY_EVALUATION"): root._representation = root._create_output_str() last_item = peek(stack) if ( hasattr(root, "right") and last_item is not None and last_item is root.right ): stack.pop() stack.append(root) root = root.right else: root = None def _find_all_symbols(self) -> list[str]: # Finds all symbols in an expression with a stack based inorder # traversal algorithm (O(N)). symbols: list[str] = [] stack = [] node = self while True: if node is not None: stack.append(node) node = getattr(node, "left", None) # type: ignore elif stack: node = stack.pop() if isinstance(node, Symbol): if node.name not in symbols: symbols.append(node.name) stack += node.domain node = None elif isinstance(node, ImplicitSymbol): if node.parent.name not in symbols: symbols.append(node.parent.name) stack += node.domain stack += node.container[node.parent.name].domain node = None elif isinstance(node, operation.Operation): stack += node.op_domain node = node.rhs elif isinstance(node, condition.Condition): stack.append(node.conditioning_on) if isinstance(node.condition, Expression): node = node.condition else: stack.append(node.condition) node = None elif isinstance(node, (operation.Ord, operation.Card)): stack.append(node._symbol) node = None elif isinstance(node, MathOp): if isinstance(node.elements[0], Expression): node = node.elements[0] else: stack += node.elements node = None elif isinstance(node, ExtrinsicFunction): stack += list(node.args) node = None else: node = getattr(node, "right", None) else: break # pragma: no cover return symbols def _find_symbols_in_conditions(self) -> list[str]: symbols: list[str] = [] stack = [] node = self while True: if node is not None: stack.append(node) node = getattr(node, "left", None) # type: ignore elif stack: node = stack.pop() if isinstance(node, condition.Condition): given_condition = node.condition if isinstance(given_condition, Expression): symbols += given_condition._find_all_symbols() elif isinstance(given_condition, ImplicitSymbol): symbols.append(given_condition.parent.name) if isinstance(node, operation.Operation): stack += node.op_domain node = node.rhs else: node = getattr(node, "right", None) else: break # pragma: no cover return symbols def _validate_definition( self, control_stack: list[Set | Alias | ImplicitSet] ) -> None: if not get_option("DOMAIN_VALIDATION"): return stack = [] node = self.right while True: if node is not None: stack.append(node) node = getattr(node, "left", None) # type: ignore elif stack: node = stack.pop() if isinstance(node, operation.Operation): node._validate_operation(control_stack.copy()) elif isinstance(node, ImplicitSymbol): for elem in node.domain: if hasattr(elem, "is_singleton") and elem.is_singleton: continue if ( isinstance(elem, Symbol) and elem not in control_stack ): raise ValidationError( f"Uncontrolled set `{elem}` entered as constant!" ) elif ( isinstance(elem, ImplicitSymbol) and elem.parent not in control_stack ): raise ValidationError( f"Uncontrolled set `{elem.parent}` entered as constant!" ) node = getattr(node, "right", None) else: break # pragma: no cover
class SetExpression(Expression): def __init__( self, left: OperableType, data: Literal["+", "-", "*", "not"], right: OperableType, ): super().__init__(left, data, right) self._adjust_left_right() def _adjust_left_right(self) -> None: if isinstance(self.left, (ImplicitSet, SetExpression)): if isinstance(self.right, (int, float)): if self.right == 0: self.right = "no" elif self.right == 1: self.right = "yes" else: raise ValidationError( f"Incompatible operand `{self.right}` for the set operation `{self.data}`." ) elif isinstance(self.right, condition.Condition) and isinstance( self.right.conditioning_on, number.Number ): if self.right.conditioning_on._value == 0: self.right.conditioning_on._value = "no" elif self.right.conditioning_on._value == 1: self.right.conditioning_on._value = "yes" raise ValidationError( f"Incompatible operand `{self.right}` for the set operation `{self.data}`." ) if isinstance(self.right, (ImplicitSet, SetExpression)): if isinstance(self.left, (int, float)): if self.left == 0: self.left = "no" elif self.left == 1: self.left = "yes" else: raise ValidationError( f"Incompatible operand `{self.left}` for the set operation `{self.data}`." ) elif isinstance(self.left, condition.Condition) and isinstance( self.left.conditioning_on, number.Number ): if self.left.conditioning_on._value == 0: self.left.conditioning_on._value = "no" elif self.left.conditioning_on._value == 1: self.left.conditioning_on._value = "yes" else: raise ValidationError( f"Incompatible operand `{self.left}` for the set operation `{self.data}`." ) if not get_option("LAZY_EVALUATION"): self._representation = self._create_output_str()