|
| 1 | +# |
| 2 | +# |
| 3 | +# |
| 4 | +from typing import Generic, TypeVar, Iterator, Iterable, Any, Final, Self, Mapping |
| 5 | +import enum |
| 6 | + |
| 7 | + |
| 8 | +FLINT_VERSION: Final[str] |
| 9 | +FLINT_RELEASE: Final[int] |
| 10 | + |
| 11 | + |
| 12 | +Telem = TypeVar('Telem', bound=flint_scalar) |
| 13 | +Telem_coerce = TypeVar('Telem_coerce') |
| 14 | +Tmpoly = TypeVar('Tmpoly', bound=flint_mpoly) |
| 15 | +Tctx = TypeVar('Tctx', bound=flint_mpoly_context) |
| 16 | + |
| 17 | +Sctx = TypeVar('Sctx', bound=flint_mpoly_context) |
| 18 | + |
| 19 | + |
| 20 | +class flint_elem: |
| 21 | + pass |
| 22 | + |
| 23 | + |
| 24 | +class flint_scalar(flint_elem): |
| 25 | + def is_zero(self) -> bool: ... |
| 26 | + |
| 27 | + |
| 28 | +class flint_poly(flint_elem, Generic[Telem]): |
| 29 | + def __iter__(self) -> Iterator[Telem]: ... |
| 30 | + def __getitem__(self, index: int) -> Telem: ... |
| 31 | + def coeffs(self) -> list[Telem]: ... |
| 32 | + def str(self, ascending: bool = False, var: str = "x", *args: Any, **kwargs: Any): ... |
| 33 | + def roots(self) -> list[tuple[Telem, int]]: ... |
| 34 | + # Should be list[arb]: |
| 35 | + def real_roots(self) -> list[Any]: ... |
| 36 | + # Should be list[acb]: |
| 37 | + def complex_roots(self) -> list[Any]: ... |
| 38 | + |
| 39 | + |
| 40 | +class Ordering(enum.Enum): |
| 41 | + lex = "lex" |
| 42 | + deglex = "deglex" |
| 43 | + degrevlex = "degrevlex" |
| 44 | + |
| 45 | + |
| 46 | +class flint_mpoly(flint_elem, Generic[Tctx, Telem, Telem_coerce]): |
| 47 | + def __init__(self, |
| 48 | + val: Self | Telem | Telem_coerce | int | dict[tuple[int, ...], Telem | Telem_coerce | int] | str = 0, |
| 49 | + ctx: Tctx | None = None |
| 50 | + ) -> None: ... |
| 51 | + |
| 52 | + def str(self) -> str: ... |
| 53 | + def repr(self) -> str: ... |
| 54 | + |
| 55 | + def context(self) -> Tctx: ... |
| 56 | + |
| 57 | + def degrees(self) -> tuple[int, ...]: ... |
| 58 | + def total_degree(self) -> int: ... |
| 59 | + |
| 60 | + def leading_coefficient(self) -> Telem: ... |
| 61 | + def to_dict(self) -> dict[tuple[int, ...], Telem]: ... |
| 62 | + def terms(self) -> Iterable[tuple[tuple[int, ...], Telem]]: ... |
| 63 | + |
| 64 | + def is_one(self) -> bool: ... |
| 65 | + def is_zero(self) -> bool: ... |
| 66 | + def is_constant(self) -> bool: ... |
| 67 | + |
| 68 | + def __len__(self) -> int: ... |
| 69 | + def coefficient(self, i: int) -> Telem: ... |
| 70 | + def monomial(self, i: int) -> tuple[int, ...]: ... |
| 71 | + |
| 72 | + def monoms(self) -> list[tuple[int, ...]]: ... |
| 73 | + def coeffs(self) -> list[Telem]: ... |
| 74 | + def __getitem__(self, index: tuple[int, ...]) -> Telem: ... |
| 75 | + def __setitem__(self, index: tuple[int, ...], coeff: Telem | Telem_coerce | int) -> None: ... |
| 76 | + |
| 77 | + def subs(self, mapping: dict[str | int, Telem | Telem_coerce | int]) -> Self: ... |
| 78 | + def compose(self, *args: Self, ctx: Tctx | None = None) -> Self: ... |
| 79 | + |
| 80 | + def __call__(self, *args: Telem | Telem_coerce) -> Telem: ... |
| 81 | + |
| 82 | + def __pos__(self) -> Self: ... |
| 83 | + def __neg__(self) -> Self: ... |
| 84 | + def __add__(self, other: Self | Telem | Telem_coerce | int) -> Self: ... |
| 85 | + def __radd__(self, other: Telem | Telem_coerce | int) -> Self: ... |
| 86 | + def __sub__(self, other: Self | Telem | Telem_coerce | int) -> Self: ... |
| 87 | + def __rsub__(self, other: Telem | Telem_coerce | int) -> Self: ... |
| 88 | + def __mul__(self, other: Self | Telem | Telem_coerce | int) -> Self: ... |
| 89 | + def __rmul__(self, other: Telem | Telem_coerce | int) -> Self: ... |
| 90 | + def __truediv__(self, other: Self | Telem | Telem_coerce | int) -> Self: ... |
| 91 | + def __rtruediv__(self, other: Telem | Telem_coerce | int) -> Self: ... |
| 92 | + def __floordiv__(self, other: Self | Telem | Telem_coerce | int) -> Self: ... |
| 93 | + def __rfloordiv__(self, other: Telem | Telem_coerce | int) -> Self: ... |
| 94 | + def __mod__(self, other: Self | Telem | Telem_coerce | int) -> Self: ... |
| 95 | + def __rmod__(self, other: Telem | Telem_coerce | int) -> Self: ... |
| 96 | + def __divmod__(self, other: Self | Telem | Telem_coerce | int) -> tuple[Self, Self]: ... |
| 97 | + def __rdivmod__(self, other: Telem | Telem_coerce | int) -> tuple[Self, Self]: ... |
| 98 | + def __pow__(self, other: Telem | Telem_coerce | int) -> Self: ... |
| 99 | + def __rpow__(self, other: Telem | Telem_coerce | int) -> Self: ... |
| 100 | + def __iter__(self) -> Iterable[tuple[int, ...]]: ... |
| 101 | + def __contains__(self, index: tuple[int, ...]) -> bool: ... |
| 102 | + |
| 103 | + def unused_gens(self) -> tuple[str, ...]: ... |
| 104 | + |
| 105 | + def project_to_context( |
| 106 | + self, |
| 107 | + other_ctx: Tctx, |
| 108 | + mapping: dict[str | int, str | int] | None = None |
| 109 | + ) -> Self: ... |
| 110 | + |
| 111 | + |
| 112 | +class flint_mpoly_context(flint_elem, Generic[Tmpoly, Telem, Telem_coerce]): |
| 113 | + |
| 114 | + def nvars(self) -> int: ... |
| 115 | + def ordering(self) -> Ordering: ... |
| 116 | + |
| 117 | + def gen(self, i: int) -> Tmpoly: ... |
| 118 | + def from_dict(self, d: Mapping[tuple[int, ...], Telem_coerce]) -> Tmpoly: ... |
| 119 | + def constant(self, z: Telem_coerce) -> Tmpoly: ... |
| 120 | + |
| 121 | + def name(self, i: int) -> str: ... |
| 122 | + def names(self) -> tuple[str]: ... |
| 123 | + def gens(self) -> tuple[Tmpoly, ...]: ... |
| 124 | + def variable_to_index(self, var: str) -> int: ... |
| 125 | + def term(self, coeff: Telem_coerce | None = None, exp_vec: Iterable[int] | None = None) -> Tmpoly: ... |
| 126 | + def drop_gens(self, gens: Iterable[str | int]) -> Self: ... |
| 127 | + def append_gens(self, gens: Iterable[str | int]) -> Self: ... |
| 128 | + def infer_generator_mapping(self, ctx: flint_mpoly_context) -> dict[int, int]: ... |
| 129 | + |
| 130 | + @classmethod |
| 131 | + def from_context(cls, |
| 132 | + ctx: Sctx, |
| 133 | + names: str | Iterable[str | tuple[str, int]] | tuple[str, int] | None = None, |
| 134 | + ordering: Ordering | str = Ordering.lex, |
| 135 | + ) -> Sctx: |
| 136 | + ... |
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