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from typing import (
Optional,
Tuple,
TypeVar,
Union,
)
from py_ecc.fields import (
bls12_381_FQ,
bls12_381_FQ2,
bls12_381_FQ12,
bls12_381_FQP,
bn128_FQ,
bn128_FQ2,
bn128_FQ12,
bn128_FQP,
optimized_bls12_381_FQ,
optimized_bls12_381_FQ2,
optimized_bls12_381_FQ12,
optimized_bls12_381_FQP,
optimized_bn128_FQ,
optimized_bn128_FQ2,
optimized_bn128_FQ12,
optimized_bn128_FQP,
)
from py_ecc.fields.field_elements import (
FQ,
FQ2,
FQ12,
FQP,
)
from py_ecc.fields.optimized_field_elements import (
FQ as Optimized_FQ,
FQ2 as Optimized_FQ2,
FQ12 as Optimized_FQ12,
FQP as Optimized_FQP,
)
#
# These types are wrt Normal Integers
#
PlainPoint2D = Tuple[int, int]
PlainPoint3D = Tuple[int, int, int]
#
# Types for the normal curves and fields
#
Field = TypeVar(
"Field",
# General
FQ,
FQP,
FQ2,
FQ12,
# bn128
bn128_FQ,
bn128_FQP,
bn128_FQ2,
bn128_FQ12,
# bls12_381
bls12_381_FQ,
bls12_381_FQP,
bls12_381_FQ2,
bls12_381_FQ12,
)
Point2D = Optional[Tuple[Field, Field]] # Point at infinity is encoded as a None
Point3D = Optional[Tuple[Field, Field, Field]] # Point at infinity is encoded as a None
GeneralPoint = Union[Point2D[Field], Point3D[Field]]
#
# Types For optimized curves and fields
#
Optimized_Field = TypeVar(
"Optimized_Field",
# General
Optimized_FQ,
Optimized_FQP,
Optimized_FQ2,
Optimized_FQ12,
# bn128
optimized_bn128_FQ,
optimized_bn128_FQP,
optimized_bn128_FQ2,
optimized_bn128_FQ12,
# bls12_381
optimized_bls12_381_FQ,
optimized_bls12_381_FQP,
optimized_bls12_381_FQ2,
optimized_bls12_381_FQ12,
)
Optimized_Point2D = Tuple[Optimized_Field, Optimized_Field]
Optimized_Point3D = Tuple[Optimized_Field, Optimized_Field, Optimized_Field]
Optimized_GeneralPoint = Union[
Optimized_Point2D[Optimized_Field],
Optimized_Point3D[Optimized_Field],
]
#
# Miscellaneous types
#
FQ2_modulus_coeffs_type = Tuple[int, int]
FQ12_modulus_coeffs_type = Tuple[
int, int, int, int, int, int, int, int, int, int, int, int
]
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