The source code and dockerfile for the GSW2024 AI Lab.
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import pycarl
from pycarl._config import CARL_WITH_CLN as has_cln
def convert_integer(integer):
"""
Convert integer to gmp.
:param integer: integer.
:return: gmp interger.
"""
if has_cln and isinstance(integer, pycarl.cln.Integer):
return pycarl.gmp.Integer(integer)
elif isinstance(integer, pycarl.gmp.Integer):
return integer
elif isinstance(integer, int):
return pycarl.gmp.Integer(integer)
else:
raise TypeError("Integer of type {} cannot be convert to gmp".format(type(integer)))
def convert_rational(rational):
"""
Convert rational number to gmp.
:param rational: rational number.
:return: gmp rational.
"""
if has_cln and isinstance(rational, pycarl.cln.Rational):
return pycarl.gmp.Rational(rational)
elif isinstance(rational, pycarl.gmp.Rational):
return rational
elif isinstance(rational, float):
return pycarl.gmp.Rational(rational)
else:
raise TypeError("Rational of type {} cannot be convert to gmp".format(type(rational)))
def convert_term(term):
"""
Convert term to gmp.
:param term: term.
:return: gmp term.
"""
if has_cln and isinstance(term, pycarl.cln.Term):
coeff = convert_rational(term.coeff)
return pycarl.gmp.Term(coeff, term.monomial)
elif isinstance(term, pycarl.gmp.Term):
return term
else:
raise TypeError("Term of type {} cannot be convert to gmp".format(type(term)))
def convert_polynomial(polynomial):
"""
Convert polynomial to gmp.
:param polynomial: polynomial.
:return: gmp polynomial.
"""
if has_cln and isinstance(polynomial, pycarl.cln.Polynomial):
terms = []
for term in polynomial:
terms.append(convert_term(term))
return pycarl.gmp.Polynomial(terms)
elif isinstance(polynomial, pycarl.gmp.Polynomial):
return polynomial
else:
raise TypeError("Polynomial of type {} cannot be convert to gmp".format(type(polynomial)))
def convert_rational_function(ratfunc):
"""
Convert rational function to gmp.
:param ratfunc: rational function.
:return: gmp rational function.
"""
if has_cln and isinstance(ratfunc, pycarl.cln.RationalFunction):
numerator = convert_polynomial(ratfunc.numerator)
denominator = convert_polynomial(ratfunc.denominator)
return pycarl.gmp.RationalFunction(numerator, denominator)
elif isinstance(ratfunc, pycarl.gmp.RationalFunction):
return ratfunc
else:
raise TypeError("Rational function of type {} cannot be convert to gmp".format(type(ratfunc)))
def convert_factorized_polynomial(polynomial):
"""
Convert factorized polynomial to gmp.
:param polynomial: factorized polynomial.
:return: gmp factorized polynomial.
"""
if has_cln and isinstance(polynomial, pycarl.cln.FactorizedPolynomial):
coefficient = convert_rational(polynomial.coefficient)
converted = pycarl.gmp.FactorizedPolynomial(coefficient)
for (factor, exponent) in polynomial.factorization():
pol = convert_polynomial(factor.polynomial())
factorized = pycarl.gmp.create_factorized_polynomial(pol)
converted *= factorized ** exponent
return converted
elif isinstance(polynomial, pycarl.gmp.FactorizedPolynomial):
return polynomial
else:
raise TypeError("Factorized polynomial of type {} cannot be convert to gmp".format(type(polynomial)))
def convert_factorized_rational_function(ratfunc):
"""
Convert factorized rational function to gmp.
:param ratfunc: factorized rational function.
:return: gmp factorized rational function.
"""
if has_cln and isinstance(ratfunc, pycarl.cln.FactorizedRationalFunction):
numerator = convert_factorized_polynomial(ratfunc.numerator)
denominator = convert_factorized_polynomial(ratfunc.denominator)
return pycarl.gmp.FactorizedRationalFunction(numerator, denominator)
elif isinstance(ratfunc, pycarl.gmp.FactorizedRationalFunction):
return ratfunc
else:
raise TypeError("Factorized rational function of type {} cannot be convert to gmp".format(type(ratfunc)))
def convert_constraint(constraint):
"""
Convert constraint to gmp.
:param constraint: constraint.
:return: gmp constraint.
"""
if has_cln and isinstance(constraint, pycarl.cln.formula.Constraint):
lhs = convert_polynomial(constraint.lhs)
return pycarl.gmp.formula.Constraint(lhs, constraint.relation)
elif isinstance(constraint, pycarl.gmp.formula.Constraint):
return constraint
else:
raise TypeError("Constraint of type {} cannot be convert to gmp".format(type(constraint)))
def convert_formula(formula):
if isinstance(formula, pycarl.gmp.formula.Formula):
return formula
if formula.type == pycarl.formula.FormulaType.TRUE:
return pycarl.gmp.formula.Formula(pycarl.gmp.formula.Constraint(True))
if formula.type == pycarl.formula.FormulaType.FALSE:
return pycarl.gmp.formula.Formula(pycarl.gmp.formula.Constraint(False))
if formula.type == pycarl.formula.FormulaType.CONSTRAINT:
return convert_constraint(formula.get_constraint())
if has_cln and isinstance(formula, pycarl.cln.formula.Formula):
csubformulae = [pycarl.gmp.formula.Formula(convert(subf)) for subf in formula.get_subformulas()]
return pycarl.gmp.formula.Formula(formula.type, csubformulae)
else:
raise TypeError("Formula of type {} cannot be convert to gmp".format(type(formula)))
def convert(data):
"""
Convert arbitrary data type to gmp.
:param data: data structure.
:return: gmp data structure.
"""
if (has_cln and isinstance(data, pycarl.cln.Integer)) or isinstance(data, pycarl.gmp.Integer) or isinstance(data,
int):
return convert_integer(data)
elif (has_cln and isinstance(data, pycarl.cln.Rational)) or isinstance(data, pycarl.gmp.Rational) or isinstance(
data, float):
return convert_rational(data)
elif (has_cln and isinstance(data, pycarl.cln.Term)) or isinstance(data, pycarl.gmp.Term):
return convert_term(data)
elif (has_cln and isinstance(data, pycarl.cln.Polynomial)) or isinstance(data, pycarl.gmp.Polynomial):
return convert_polynomial(data)
elif (has_cln and isinstance(data, pycarl.cln.RationalFunction)) or isinstance(data, pycarl.gmp.RationalFunction):
return convert_rational_function(data)
elif (has_cln and isinstance(data, pycarl.cln.FactorizedPolynomial)) or isinstance(data,
pycarl.gmp.FactorizedPolynomial):
return convert_factorized_polynomial(data)
elif (has_cln and isinstance(data, pycarl.cln.FactorizedRationalFunction)) or isinstance(data,
pycarl.gmp.FactorizedRationalFunction):
return convert_factorized_rational_function(data)
elif (has_cln and isinstance(data, pycarl.cln.formula.Constraint)) or isinstance(data,
pycarl.gmp.formula.Constraint):
return convert_constraint(data)
elif (has_cln and isinstance(data, pycarl.cln.formula.Formula)) or isinstance(data,
pycarl.gmp.formula.Formula):
return convert_formula(data)
else:
raise TypeError("Unknown type {} for conversion to gmp".format(type(data)))