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from ast import parse, Expression, Mult, Add, Sub, Pow, Div
from itertools import product
from typing import List, Set, Any, ClassVar, MutableMapping
from pkg_resources import resource_stream
from public import public
from .op import CodeOp
class Formula(object):
"""A formula operating on points."""
name: str
coordinate_model: Any
meta: MutableMapping[str, Any]
parameters: List[str]
assumptions: List[Expression]
code: List[CodeOp]
shortname: ClassVar[str]
num_inputs: ClassVar[int]
num_outputs: ClassVar[int]
def __repr__(self):
return f"{self.__class__.__name__}({self.name} for {self.coordinate_model})"
@property
def input_index(self):
"""The starting index where this formula reads its inputs."""
raise NotImplementedError
@property
def output_index(self) -> int:
"""The starting index where this formula stores its outputs."""
raise NotImplementedError
@property
def inputs(self) -> Set[str]:
"""The input variables of the formula."""
raise NotImplementedError
@property
def outputs(self) -> Set[str]:
"""The output variables of the formula."""
raise NotImplementedError
@property
def num_operations(self) -> int:
"""Number of operations."""
return len(list(filter(lambda op: op.operator is not None, self.code)))
@property
def num_multiplications(self) -> int:
"""Number of multiplications."""
return len(list(filter(lambda op: isinstance(op.operator, Mult), self.code)))
@property
def num_inversions(self) -> int:
"""Number of inversions."""
return len(list(filter(lambda op: isinstance(op.operator, Div), self.code)))
@property
def num_squarings(self) -> int:
"""Number of squarings."""
return len(list(filter(lambda op: isinstance(op.operator, Pow), self.code)))
@property
def num_addsubs(self) -> int:
"""Number of additions and subtractions."""
return len(list(filter(lambda op: isinstance(op.operator, (Add, Sub)), self.code)))
class EFDFormula(Formula):
def __init__(self, path: str, name: str, coordinate_model: Any):
self.name = name
self.coordinate_model = coordinate_model
self.meta = {}
self.parameters = []
self.assumptions = []
self.code = []
self.__read_meta_file(path)
self.__read_op3_file(path + ".op3")
def __read_meta_file(self, path):
with resource_stream(__name__, path) as f:
line = f.readline().decode("ascii")
while line:
line = line[:-1]
if line.startswith("source"):
self.meta["source"] = line[7:]
elif line.startswith("parameter"):
self.parameters.append(line[10:])
elif line.startswith("assume"):
self.assumptions.append(
parse(line[7:].replace("=", "==").replace("^", "**"), mode="eval"))
line = f.readline().decode("ascii")
def __read_op3_file(self, path):
with resource_stream(__name__, path) as f:
for line in f.readlines():
code_module = parse(line.decode("ascii").replace("^", "**"), path, mode="exec")
self.code.append(CodeOp(code_module))
@property
def input_index(self):
return 1
@property
def output_index(self):
return max(self.num_inputs + 1, 3)
@property
def inputs(self):
return set(var + str(i) for var, i in product(self.coordinate_model.variables,
range(1, 1 + self.num_inputs)))
@property
def outputs(self):
return set(var + str(i) for var, i in product(self.coordinate_model.variables,
range(self.output_index,
self.output_index + self.num_outputs)))
def __eq__(self, other):
if not isinstance(other, EFDFormula):
return False
return self.name == other.name and self.coordinate_model == other.coordinate_model
def __hash__(self):
return hash(self.name) + hash(self.coordinate_model)
@public
class AdditionFormula(Formula):
shortname = "add"
num_inputs = 2
num_outputs = 1
@public
class AdditionEFDFormula(AdditionFormula, EFDFormula):
pass
@public
class DoublingFormula(Formula):
shortname = "dbl"
num_inputs = 1
num_outputs = 1
@public
class DoublingEFDFormula(DoublingFormula, EFDFormula):
pass
@public
class TriplingFormula(Formula):
shortname = "tpl"
num_inputs = 1
num_outputs = 1
@public
class TriplingEFDFormula(TriplingFormula, EFDFormula):
pass
@public
class NegationFormula(Formula):
shortname = "neg"
num_inputs = 1
num_outputs = 1
@public
class NegationEFDFormula(NegationFormula, EFDFormula):
pass
@public
class ScalingFormula(Formula):
shortname = "scl"
num_inputs = 1
num_outputs = 1
@public
class ScalingEFDFormula(ScalingFormula, EFDFormula):
pass
@public
class DifferentialAdditionFormula(Formula):
shortname = "dadd"
num_inputs = 3
num_outputs = 1
@public
class DifferentialAdditionEFDFormula(DifferentialAdditionFormula, EFDFormula):
pass
@public
class LadderFormula(Formula):
shortname = "ladd"
num_inputs = 3
num_outputs = 2
@public
class LadderEFDFormula(LadderFormula, EFDFormula):
pass
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