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Python

from collections.abc import Callable, Mapping
from enum import Enum
from typing import Any, Generic, ParamSpec, Self, TypeAlias, overload
from typing import Literal as L
from typing_extensions import TypeVar
__all__ = ["Expr"]
###
_Tss = ParamSpec("_Tss")
_ExprT = TypeVar("_ExprT", bound=Expr)
_ExprT1 = TypeVar("_ExprT1", bound=Expr)
_ExprT2 = TypeVar("_ExprT2", bound=Expr)
_OpT_co = TypeVar("_OpT_co", bound=Op, default=Op, covariant=True)
_LanguageT_co = TypeVar("_LanguageT_co", bound=Language, default=Language, covariant=True)
_DataT_co = TypeVar("_DataT_co", default=Any, covariant=True)
_LeftT_co = TypeVar("_LeftT_co", default=Any, covariant=True)
_RightT_co = TypeVar("_RightT_co", default=Any, covariant=True)
_RelCOrPy: TypeAlias = L["==", "!=", "<", "<=", ">", ">="]
_RelFortran: TypeAlias = L[".eq.", ".ne.", ".lt.", ".le.", ".gt.", ".ge."]
_ToExpr: TypeAlias = Expr | complex | str
_ToExprN: TypeAlias = _ToExpr | tuple[_ToExprN, ...]
_NestedString: TypeAlias = str | tuple[_NestedString, ...] | list[_NestedString]
###
class OpError(Exception): ...
class ExprWarning(UserWarning): ...
class Language(Enum):
Python = 0
Fortran = 1
C = 2
class Op(Enum):
INTEGER = 10
REAL = 12
COMPLEX = 15
STRING = 20
ARRAY = 30
SYMBOL = 40
TERNARY = 100
APPLY = 200
INDEXING = 210
CONCAT = 220
RELATIONAL = 300
TERMS = 1_000
FACTORS = 2_000
REF = 3_000
DEREF = 3_001
class RelOp(Enum):
EQ = 1
NE = 2
LT = 3
LE = 4
GT = 5
GE = 6
@overload
@classmethod
def fromstring(cls, s: _RelCOrPy, language: L[Language.C, Language.Python] = ...) -> RelOp: ...
@overload
@classmethod
def fromstring(cls, s: _RelFortran, language: L[Language.Fortran]) -> RelOp: ...
#
@overload
def tostring(self, /, language: L[Language.C, Language.Python] = ...) -> _RelCOrPy: ...
@overload
def tostring(self, /, language: L[Language.Fortran]) -> _RelFortran: ...
class ArithOp(Enum):
POS = 1
NEG = 2
ADD = 3
SUB = 4
MUL = 5
DIV = 6
POW = 7
class Precedence(Enum):
ATOM = 0
POWER = 1
UNARY = 2
PRODUCT = 3
SUM = 4
LT = 6
EQ = 7
LAND = 11
LOR = 12
TERNARY = 13
ASSIGN = 14
TUPLE = 15
NONE = 100
class Expr(Generic[_OpT_co, _DataT_co]):
op: _OpT_co
data: _DataT_co
@staticmethod
def parse(s: str, language: Language = ...) -> Expr: ...
#
def __init__(self, /, op: Op, data: _DataT_co) -> None: ...
#
def __lt__(self, other: Expr, /) -> bool: ...
def __le__(self, other: Expr, /) -> bool: ...
def __gt__(self, other: Expr, /) -> bool: ...
def __ge__(self, other: Expr, /) -> bool: ...
#
def __pos__(self, /) -> Self: ...
def __neg__(self, /) -> Expr: ...
#
def __add__(self, other: Expr, /) -> Expr: ...
def __radd__(self, other: Expr, /) -> Expr: ...
#
def __sub__(self, other: Expr, /) -> Expr: ...
def __rsub__(self, other: Expr, /) -> Expr: ...
#
def __mul__(self, other: Expr, /) -> Expr: ...
def __rmul__(self, other: Expr, /) -> Expr: ...
#
def __pow__(self, other: Expr, /) -> Expr: ...
#
def __truediv__(self, other: Expr, /) -> Expr: ...
def __rtruediv__(self, other: Expr, /) -> Expr: ...
#
def __floordiv__(self, other: Expr, /) -> Expr: ...
def __rfloordiv__(self, other: Expr, /) -> Expr: ...
#
def __call__(
self,
/,
*args: _ToExprN,
**kwargs: _ToExprN,
) -> Expr[L[Op.APPLY], tuple[Self, tuple[Expr, ...], dict[str, Expr]]]: ...
#
@overload
def __getitem__(self, index: _ExprT | tuple[_ExprT], /) -> Expr[L[Op.INDEXING], tuple[Self, _ExprT]]: ...
@overload
def __getitem__(self, index: _ToExpr | tuple[_ToExpr], /) -> Expr[L[Op.INDEXING], tuple[Self, Expr]]: ...
#
def substitute(self, /, symbols_map: Mapping[Expr, Expr]) -> Expr: ...
#
@overload
def traverse(self, /, visit: Callable[_Tss, None], *args: _Tss.args, **kwargs: _Tss.kwargs) -> Expr: ...
@overload
def traverse(self, /, visit: Callable[_Tss, _ExprT], *args: _Tss.args, **kwargs: _Tss.kwargs) -> _ExprT: ...
#
def contains(self, /, other: Expr) -> bool: ...
#
def symbols(self, /) -> set[Expr]: ...
def polynomial_atoms(self, /) -> set[Expr]: ...
#
def linear_solve(self, /, symbol: Expr) -> tuple[Expr, Expr]: ...
#
def tostring(self, /, parent_precedence: Precedence = ..., language: Language = ...) -> str: ...
class _Pair(Generic[_LeftT_co, _RightT_co]):
left: _LeftT_co
right: _RightT_co
def __init__(self, /, left: _LeftT_co, right: _RightT_co) -> None: ...
#
@overload
def substitute(self: _Pair[_ExprT1, _ExprT2], /, symbols_map: Mapping[Expr, Expr]) -> _Pair[Expr, Expr]: ...
@overload
def substitute(self: _Pair[_ExprT1, object], /, symbols_map: Mapping[Expr, Expr]) -> _Pair[Expr, Any]: ...
@overload
def substitute(self: _Pair[object, _ExprT2], /, symbols_map: Mapping[Expr, Expr]) -> _Pair[Any, Expr]: ...
@overload
def substitute(self, /, symbols_map: Mapping[Expr, Expr]) -> _Pair: ...
class _FromStringWorker(Generic[_LanguageT_co]):
language: _LanguageT_co
original: str | None
quotes_map: dict[str, str]
@overload
def __init__(self: _FromStringWorker[L[Language.C]], /, language: L[Language.C] = ...) -> None: ...
@overload
def __init__(self, /, language: _LanguageT_co) -> None: ...
#
def finalize_string(self, /, s: str) -> str: ...
#
def parse(self, /, inp: str) -> Expr | _Pair: ...
#
@overload
def process(self, /, s: str, context: str = "expr") -> Expr | _Pair: ...
@overload
def process(self, /, s: list[str], context: str = "expr") -> list[Expr | _Pair]: ...
@overload
def process(self, /, s: tuple[str, ...], context: str = "expr") -> tuple[Expr | _Pair, ...]: ...
@overload
def process(self, /, s: _NestedString, context: str = "expr") -> Any: ... # noqa: ANN401