mirror of
				https://github.com/Z3Prover/z3
				synced 2025-11-04 05:19:11 +00:00 
			
		
		
		
	Fix some PEP-8 violations in Python code (#5295)
* reformat python code using autopep8 * manually wrap some too long lines and adjust some checks * run autopep8 in aggressive mode * run autopep8 in very aggressive mode * manually reformat z3types.py * unify: use double quotes * use sys.version_info instead of sys.version * drop accidentally commited src/util/z3_version.h
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					 7 changed files with 1669 additions and 910 deletions
				
			
		
										
											
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			@ -12,12 +12,14 @@ from fractions import Fraction
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from .z3 import _get_ctx
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def _to_numeral(num, ctx=None):
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    if isinstance(num, Numeral):
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        return num
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    else:
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        return Numeral(num, ctx)
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class Numeral:
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    """
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    A Z3 numeral can be used to perform computations over arbitrary
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			@ -85,6 +87,7 @@ class Numeral:
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    [2.8538479564?]
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    """
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    def __init__(self, num, ctx=None):
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        if isinstance(num, Ast):
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            self.ast = num
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			@ -151,7 +154,6 @@ class Numeral:
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        assert(self.is_rational())
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        return Numeral(Z3_get_numerator(self.ctx_ref(), self.as_ast()), self.ctx)
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    def is_irrational(self):
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        """ Return True if the numeral is irrational.
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			@ -169,7 +171,7 @@ class Numeral:
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        """
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        assert(self.is_integer())
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        if sys.version_info[0] >= 3:
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        if sys.version_info.major >= 3:
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            return int(Z3_get_numeral_string(self.ctx_ref(), self.as_ast()))
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        else:
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            return long(Z3_get_numeral_string(self.ctx_ref(), self.as_ast()))
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			@ -440,7 +442,6 @@ class Numeral:
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        """
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        return self < other
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    def __le__(self, other):
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        """ Return True if `self <= other`.
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			@ -523,6 +524,7 @@ class Numeral:
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    def ctx_ref(self):
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        return self.ctx.ref()
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def eval_sign_at(p, vs):
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    """
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    Evaluate the sign of the polynomial `p` at `vs`.  `p` is a Z3
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			@ -547,6 +549,7 @@ def eval_sign_at(p, vs):
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        _vs[i] = vs[i].ast
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    return Z3_algebraic_eval(p.ctx_ref(), p.as_ast(), num, _vs)
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def isolate_roots(p, vs=[]):
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    """
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    Given a multivariate polynomial p(x_0, ..., x_{n-1}, x_n), returns the
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			@ -573,5 +576,4 @@ def isolate_roots(p, vs=[]):
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    for i in range(num):
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        _vs[i] = vs[i].ast
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    _roots = AstVector(Z3_algebraic_roots(p.ctx_ref(), p.as_ast(), num, _vs), p.ctx)
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    return [ Numeral(r) for r in _roots ]
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    return [Numeral(r) for r in _roots]
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			@ -8,6 +8,7 @@
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from .z3 import *
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def subresultants(p, q, x):
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    """
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    Return the non-constant subresultants of 'p' and 'q' with respect to the "variable" 'x'.
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			@ -29,6 +30,7 @@ def subresultants(p, q, x):
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    """
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    return AstVector(Z3_polynomial_subresultants(p.ctx_ref(), p.as_ast(), q.as_ast(), x.as_ast()), p.ctx)
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if __name__ == "__main__":
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    import doctest
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    if doctest.testmod().failed:
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			@ -14,26 +14,31 @@ from .z3core import *
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from .z3printer import *
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from fractions import Fraction
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def _to_rcfnum(num, ctx=None):
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    if isinstance(num, RCFNum):
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        return num
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    else:
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        return RCFNum(num, ctx)
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def Pi(ctx=None):
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    ctx = z3.get_ctx(ctx)
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    return RCFNum(Z3_rcf_mk_pi(ctx.ref()), ctx)
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def E(ctx=None):
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    ctx = z3.get_ctx(ctx)
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    return RCFNum(Z3_rcf_mk_e(ctx.ref()), ctx)
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def MkInfinitesimal(name="eps", ctx=None):
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    # Todo: remove parameter name.
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    # For now, we keep it for backward compatibility.
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    ctx = z3.get_ctx(ctx)
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    return RCFNum(Z3_rcf_mk_infinitesimal(ctx.ref()), ctx)
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def MkRoots(p, ctx=None):
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    ctx = z3.get_ctx(ctx)
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    num = len(p)
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| 
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			@ -50,6 +55,7 @@ def MkRoots(p, ctx=None):
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        r.append(RCFNum(_rs[i], ctx))
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    return r
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class RCFNum:
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    def __init__(self, num, ctx=None):
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        # TODO: add support for converting AST numeral values into RCFNum
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			@ -8,123 +8,234 @@
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import ctypes
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class Z3Exception(Exception):
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    def __init__(self, value):
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        self.value = value
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    def __str__(self):
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        return str(self.value)
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class ContextObj(ctypes.c_void_p):
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  def __init__(self, context): self._as_parameter_ = context
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  def from_param(obj): return obj
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    def __init__(self, context):
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        self._as_parameter_ = context
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    def from_param(obj):
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        return obj
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class Config(ctypes.c_void_p):
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  def __init__(self, config): self._as_parameter_ = config
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  def from_param(obj): return obj
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    def __init__(self, config):
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        self._as_parameter_ = config
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    def from_param(obj):
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        return obj
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class Symbol(ctypes.c_void_p):
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  def __init__(self, symbol): self._as_parameter_ = symbol
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  def from_param(obj): return obj
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    def __init__(self, symbol):
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        self._as_parameter_ = symbol
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    def from_param(obj):
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        return obj
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class Sort(ctypes.c_void_p):
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  def __init__(self, sort): self._as_parameter_ = sort
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  def from_param(obj): return obj
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    def __init__(self, sort):
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        self._as_parameter_ = sort
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    def from_param(obj):
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        return obj
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class FuncDecl(ctypes.c_void_p):
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  def __init__(self, decl): self._as_parameter_ = decl
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  def from_param(obj): return obj
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    def __init__(self, decl):
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        self._as_parameter_ = decl
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    def from_param(obj):
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        return obj
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class Ast(ctypes.c_void_p):
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  def __init__(self, ast): self._as_parameter_ = ast
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  def from_param(obj): return obj
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    def __init__(self, ast):
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        self._as_parameter_ = ast
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    def from_param(obj):
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        return obj
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class Pattern(ctypes.c_void_p):
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  def __init__(self, pattern): self._as_parameter_ = pattern
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  def from_param(obj): return obj
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    def __init__(self, pattern):
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        self._as_parameter_ = pattern
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    def from_param(obj):
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        return obj
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class Model(ctypes.c_void_p):
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  def __init__(self, model): self._as_parameter_ = model
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  def from_param(obj): return obj
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    def __init__(self, model):
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        self._as_parameter_ = model
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    def from_param(obj):
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        return obj
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class Literals(ctypes.c_void_p):
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  def __init__(self, literals): self._as_parameter_ = literals
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  def from_param(obj): return obj
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    def __init__(self, literals):
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        self._as_parameter_ = literals
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    def from_param(obj):
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        return obj
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class Constructor(ctypes.c_void_p):
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  def __init__(self, constructor): self._as_parameter_ = constructor
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  def from_param(obj): return obj
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    def __init__(self, constructor):
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        self._as_parameter_ = constructor
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    def from_param(obj):
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        return obj
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class ConstructorList(ctypes.c_void_p):
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  def __init__(self, constructor_list): self._as_parameter_ = constructor_list
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  def from_param(obj): return obj
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    def __init__(self, constructor_list):
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        self._as_parameter_ = constructor_list
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    def from_param(obj):
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        return obj
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class GoalObj(ctypes.c_void_p):
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  def __init__(self, goal): self._as_parameter_ = goal
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  def from_param(obj): return obj
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    def __init__(self, goal):
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        self._as_parameter_ = goal
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    def from_param(obj):
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        return obj
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class TacticObj(ctypes.c_void_p):
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  def __init__(self, tactic): self._as_parameter_ = tactic
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  def from_param(obj): return obj
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    def __init__(self, tactic):
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        self._as_parameter_ = tactic
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    def from_param(obj):
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        return obj
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class ProbeObj(ctypes.c_void_p):
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  def __init__(self, probe): self._as_parameter_ = probe
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  def from_param(obj): return obj
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    def __init__(self, probe):
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        self._as_parameter_ = probe
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    def from_param(obj):
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        return obj
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class ApplyResultObj(ctypes.c_void_p):
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  def __init__(self, obj): self._as_parameter_ = obj
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  def from_param(obj): return obj
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    def __init__(self, obj):
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        self._as_parameter_ = obj
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    def from_param(obj):
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        return obj
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class StatsObj(ctypes.c_void_p):
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  def __init__(self, statistics): self._as_parameter_ = statistics
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  def from_param(obj): return obj
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    def __init__(self, statistics):
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        self._as_parameter_ = statistics
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    def from_param(obj):
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        return obj
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class SolverObj(ctypes.c_void_p):
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  def __init__(self, solver): self._as_parameter_ = solver
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  def from_param(obj): return obj
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    def __init__(self, solver):
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        self._as_parameter_ = solver
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    def from_param(obj):
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        return obj
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class SolverCallbackObj(ctypes.c_void_p):
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  def __init__(self, solver): self._as_parameter_ = solver
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  def from_param(obj): return obj
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    def __init__(self, solver):
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        self._as_parameter_ = solver
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    def from_param(obj):
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        return obj
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class FixedpointObj(ctypes.c_void_p):
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  def __init__(self, fixedpoint): self._as_parameter_ = fixedpoint
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  def from_param(obj): return obj
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    def __init__(self, fixedpoint):
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        self._as_parameter_ = fixedpoint
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    def from_param(obj):
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        return obj
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class OptimizeObj(ctypes.c_void_p):
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  def __init__(self, optimize): self._as_parameter_ = optimize
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  def from_param(obj): return obj
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		||||
    def __init__(self, optimize):
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        self._as_parameter_ = optimize
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    def from_param(obj):
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        return obj
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class ModelObj(ctypes.c_void_p):
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  def __init__(self, model): self._as_parameter_ = model
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  def from_param(obj): return obj
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		||||
    def __init__(self, model):
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		||||
        self._as_parameter_ = model
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		||||
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    def from_param(obj):
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		||||
        return obj
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class AstVectorObj(ctypes.c_void_p):
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  def __init__(self, vector): self._as_parameter_ = vector
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  def from_param(obj): return obj
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		||||
    def __init__(self, vector):
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        self._as_parameter_ = vector
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    def from_param(obj):
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        return obj
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class AstMapObj(ctypes.c_void_p):
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  def __init__(self, ast_map): self._as_parameter_ = ast_map
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  def from_param(obj): return obj
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    def __init__(self, ast_map):
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        self._as_parameter_ = ast_map
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		||||
    def from_param(obj):
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		||||
        return obj
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		||||
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class Params(ctypes.c_void_p):
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  def __init__(self, params): self._as_parameter_ = params
 | 
			
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  def from_param(obj): return obj
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		||||
    def __init__(self, params):
 | 
			
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        self._as_parameter_ = params
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		||||
 | 
			
		||||
    def from_param(obj):
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		||||
        return obj
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class ParamDescrs(ctypes.c_void_p):
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  def __init__(self, paramdescrs): self._as_parameter_ = paramdescrs
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  def from_param(obj): return obj
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		||||
    def __init__(self, paramdescrs):
 | 
			
		||||
        self._as_parameter_ = paramdescrs
 | 
			
		||||
 | 
			
		||||
    def from_param(obj):
 | 
			
		||||
        return obj
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
class FuncInterpObj(ctypes.c_void_p):
 | 
			
		||||
  def __init__(self, f): self._as_parameter_ = f
 | 
			
		||||
  def from_param(obj): return obj
 | 
			
		||||
    def __init__(self, f):
 | 
			
		||||
        self._as_parameter_ = f
 | 
			
		||||
 | 
			
		||||
    def from_param(obj):
 | 
			
		||||
        return obj
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
class FuncEntryObj(ctypes.c_void_p):
 | 
			
		||||
  def __init__(self, e): self._as_parameter_ = e
 | 
			
		||||
  def from_param(obj): return obj
 | 
			
		||||
    def __init__(self, e):
 | 
			
		||||
        self._as_parameter_ = e
 | 
			
		||||
 | 
			
		||||
    def from_param(obj):
 | 
			
		||||
        return obj
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
class RCFNumObj(ctypes.c_void_p):
 | 
			
		||||
  def __init__(self, e): self._as_parameter_ = e
 | 
			
		||||
  def from_param(obj): return obj
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
    def __init__(self, e):
 | 
			
		||||
        self._as_parameter_ = e
 | 
			
		||||
 | 
			
		||||
    def from_param(obj):
 | 
			
		||||
        return obj
 | 
			
		||||
| 
						 | 
				
			
			
 | 
			
		|||
| 
						 | 
				
			
			@ -14,6 +14,7 @@ import common_z3 as CM_Z3
 | 
			
		|||
import ctypes
 | 
			
		||||
from .z3 import *
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def vset(seq, idfun=None, as_list=True):
 | 
			
		||||
    # This functions preserves the order of arguments while removing duplicates.
 | 
			
		||||
    # This function is from https://code.google.com/p/common-python-vu/source/browse/vu_common.py
 | 
			
		||||
| 
						 | 
				
			
			@ -32,7 +33,7 @@ def vset(seq, idfun=None, as_list=True):
 | 
			
		|||
                d_[s] = None
 | 
			
		||||
                yield s
 | 
			
		||||
 | 
			
		||||
    def _uniq_idfun(seq,idfun):
 | 
			
		||||
    def _uniq_idfun(seq, idfun):
 | 
			
		||||
        d_ = {}
 | 
			
		||||
        for s in seq:
 | 
			
		||||
            h_ = idfun(s)
 | 
			
		||||
| 
						 | 
				
			
			@ -43,7 +44,7 @@ def vset(seq, idfun=None, as_list=True):
 | 
			
		|||
    if idfun is None:
 | 
			
		||||
        res = _uniq_normal(seq)
 | 
			
		||||
    else:
 | 
			
		||||
        res = _uniq_idfun(seq,idfun)
 | 
			
		||||
        res = _uniq_idfun(seq, idfun)
 | 
			
		||||
 | 
			
		||||
    return list(res) if as_list else res
 | 
			
		||||
 | 
			
		||||
| 
						 | 
				
			
			@ -53,7 +54,7 @@ def get_z3_version(as_str=False):
 | 
			
		|||
    minor = ctypes.c_uint(0)
 | 
			
		||||
    build = ctypes.c_uint(0)
 | 
			
		||||
    rev = ctypes.c_uint(0)
 | 
			
		||||
    Z3_get_version(major,minor, build, rev)
 | 
			
		||||
    Z3_get_version(major, minor, build, rev)
 | 
			
		||||
    rs = map(int, (major.value, minor.value, build.value, rev.value))
 | 
			
		||||
    if as_str:
 | 
			
		||||
        return "{}.{}.{}.{}".format(*rs)
 | 
			
		||||
| 
						 | 
				
			
			@ -87,6 +88,7 @@ In Z3, variables are called *uninterpreted* consts and
 | 
			
		|||
variables are *interpreted* consts.
 | 
			
		||||
"""
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def is_expr_var(v):
 | 
			
		||||
    """
 | 
			
		||||
    EXAMPLES:
 | 
			
		||||
| 
						 | 
				
			
			@ -111,7 +113,8 @@ def is_expr_var(v):
 | 
			
		|||
    True
 | 
			
		||||
    """
 | 
			
		||||
 | 
			
		||||
    return is_const(v) and v.decl().kind()==Z3_OP_UNINTERPRETED
 | 
			
		||||
    return is_const(v) and v.decl().kind() == Z3_OP_UNINTERPRETED
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def is_expr_val(v):
 | 
			
		||||
    """
 | 
			
		||||
| 
						 | 
				
			
			@ -136,12 +139,10 @@ def is_expr_val(v):
 | 
			
		|||
    >>> is_expr_val(SafetyInjection)
 | 
			
		||||
    False
 | 
			
		||||
    """
 | 
			
		||||
    return is_const(v) and v.decl().kind()!=Z3_OP_UNINTERPRETED
 | 
			
		||||
    return is_const(v) and v.decl().kind() != Z3_OP_UNINTERPRETED
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def get_vars(f, rs = None):
 | 
			
		||||
def get_vars(f, rs=None):
 | 
			
		||||
    """
 | 
			
		||||
    >>> x,y = Ints('x y')
 | 
			
		||||
    >>> a,b = Bools('a b')
 | 
			
		||||
| 
						 | 
				
			
			@ -158,8 +159,8 @@ def get_vars(f, rs = None):
 | 
			
		|||
    if is_const(f):
 | 
			
		||||
        if is_expr_val(f):
 | 
			
		||||
            return rs
 | 
			
		||||
        else:  #variable
 | 
			
		||||
            return vset(rs + [f],str)
 | 
			
		||||
        else:  # variable
 | 
			
		||||
            return vset(rs + [f], str)
 | 
			
		||||
 | 
			
		||||
    else:
 | 
			
		||||
        for f_ in f.children():
 | 
			
		||||
| 
						 | 
				
			
			@ -168,7 +169,6 @@ def get_vars(f, rs = None):
 | 
			
		|||
        return vset(rs, str)
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def mk_var(name, vsort):
 | 
			
		||||
    if vsort.kind() == Z3_INT_SORT:
 | 
			
		||||
        v = Int(name)
 | 
			
		||||
| 
						 | 
				
			
			@ -179,13 +179,12 @@ def mk_var(name, vsort):
 | 
			
		|||
    elif vsort.kind() == Z3_DATATYPE_SORT:
 | 
			
		||||
        v = Const(name, vsort)
 | 
			
		||||
    else:
 | 
			
		||||
        raise TypeError('Cannot handle this sort (s: %sid: %d)' %(vsort,vsort.kind()))
 | 
			
		||||
        raise TypeError("Cannot handle this sort (s: %sid: %d)" % (vsort, vsort.kind()))
 | 
			
		||||
 | 
			
		||||
    return v
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def prove(claim,assume=None,verbose=0):
 | 
			
		||||
def prove(claim, assume=None, verbose=0):
 | 
			
		||||
    """
 | 
			
		||||
    >>> r,m = prove(BoolVal(True),verbose=0); r,model_str(m,as_str=False)
 | 
			
		||||
    (True, None)
 | 
			
		||||
| 
						 | 
				
			
			@ -236,51 +235,51 @@ def prove(claim,assume=None,verbose=0):
 | 
			
		|||
    to_prove = claim
 | 
			
		||||
    if assume:
 | 
			
		||||
        if z3_debug():
 | 
			
		||||
            is_proved,_ = prove(Not(assume))
 | 
			
		||||
            is_proved, _ = prove(Not(assume))
 | 
			
		||||
 | 
			
		||||
            def _f():
 | 
			
		||||
                emsg = "Assumption is always False!"
 | 
			
		||||
                if verbose >= 2:
 | 
			
		||||
                    emsg = "{}\n{}".format(assume,emsg)
 | 
			
		||||
                    emsg = "{}\n{}".format(assume, emsg)
 | 
			
		||||
                return emsg
 | 
			
		||||
 | 
			
		||||
            assert is_proved==False, _f()
 | 
			
		||||
            assert is_proved == False, _f()
 | 
			
		||||
 | 
			
		||||
        to_prove = Implies(assume,to_prove)
 | 
			
		||||
        to_prove = Implies(assume, to_prove)
 | 
			
		||||
 | 
			
		||||
    if verbose >= 2:
 | 
			
		||||
        print('assume: ')
 | 
			
		||||
        print("assume: ")
 | 
			
		||||
        print(assume)
 | 
			
		||||
        print('claim: ')
 | 
			
		||||
        print("claim: ")
 | 
			
		||||
        print(claim)
 | 
			
		||||
        print('to_prove: ')
 | 
			
		||||
        print("to_prove: ")
 | 
			
		||||
        print(to_prove)
 | 
			
		||||
 | 
			
		||||
    f = Not(to_prove)
 | 
			
		||||
 | 
			
		||||
    models = get_models(f,k=1)
 | 
			
		||||
    if models is None: #unknown
 | 
			
		||||
        print('E: cannot solve !')
 | 
			
		||||
    models = get_models(f, k=1)
 | 
			
		||||
    if models is None:  # unknown
 | 
			
		||||
        print("E: cannot solve !")
 | 
			
		||||
        return None, None
 | 
			
		||||
    elif models == False: #unsat
 | 
			
		||||
        return True,None   
 | 
			
		||||
    else: #sat
 | 
			
		||||
    elif models == False:  # unsat
 | 
			
		||||
        return True, None
 | 
			
		||||
    else:  # sat
 | 
			
		||||
        if z3_debug():
 | 
			
		||||
            assert isinstance(models,list)
 | 
			
		||||
            assert isinstance(models, list)
 | 
			
		||||
 | 
			
		||||
        if models:
 | 
			
		||||
            return False, models[0] #the first counterexample
 | 
			
		||||
            return False, models[0]  # the first counterexample
 | 
			
		||||
        else:
 | 
			
		||||
            return False, []  #infinite counterexample,models
 | 
			
		||||
            return False, []  # infinite counterexample,models
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def get_models(f,k):
 | 
			
		||||
def get_models(f, k):
 | 
			
		||||
    """
 | 
			
		||||
    Returns the first k models satisfiying f.
 | 
			
		||||
    If f is not satisfiable, returns False.
 | 
			
		||||
    If f cannot be solved, returns None
 | 
			
		||||
    If f is satisfiable, returns the first k models
 | 
			
		||||
    Note that if f is a tautology, e.g.\ True, then the result is []
 | 
			
		||||
    Note that if f is a tautology, e.g.\\ True, then the result is []
 | 
			
		||||
 | 
			
		||||
    Based on http://stackoverflow.com/questions/11867611/z3py-checking-all-solutions-for-equation
 | 
			
		||||
 | 
			
		||||
| 
						 | 
				
			
			@ -323,16 +322,14 @@ def get_models(f,k):
 | 
			
		|||
    while s.check() == sat and i < k:
 | 
			
		||||
        i = i + 1
 | 
			
		||||
        m = s.model()
 | 
			
		||||
        if not m: #if m == []
 | 
			
		||||
        if not m:  # if m == []
 | 
			
		||||
            break
 | 
			
		||||
        models.append(m)
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
        #create new constraint to block the current model
 | 
			
		||||
        # create new constraint to block the current model
 | 
			
		||||
        block = Not(And([v() == m[v] for v in m]))
 | 
			
		||||
        s.add(block)
 | 
			
		||||
 | 
			
		||||
    
 | 
			
		||||
    if s.check() == unknown:
 | 
			
		||||
        return None
 | 
			
		||||
    elif s.check() == unsat and i == 0:
 | 
			
		||||
| 
						 | 
				
			
			@ -340,7 +337,8 @@ def get_models(f,k):
 | 
			
		|||
    else:
 | 
			
		||||
        return models
 | 
			
		||||
 | 
			
		||||
def is_tautology(claim,verbose=0):
 | 
			
		||||
 | 
			
		||||
def is_tautology(claim, verbose=0):
 | 
			
		||||
    """
 | 
			
		||||
    >>> is_tautology(Implies(Bool('x'),Bool('x')))
 | 
			
		||||
    True
 | 
			
		||||
| 
						 | 
				
			
			@ -355,10 +353,10 @@ def is_tautology(claim,verbose=0):
 | 
			
		|||
    False
 | 
			
		||||
 | 
			
		||||
    """
 | 
			
		||||
    return prove(claim=claim,assume=None,verbose=verbose)[0]
 | 
			
		||||
    return prove(claim=claim, assume=None, verbose=verbose)[0]
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def is_contradiction(claim,verbose=0):
 | 
			
		||||
def is_contradiction(claim, verbose=0):
 | 
			
		||||
    """
 | 
			
		||||
    >>> x,y=Bools('x y')
 | 
			
		||||
    >>> is_contradiction(BoolVal(False))
 | 
			
		||||
| 
						 | 
				
			
			@ -380,7 +378,7 @@ def is_contradiction(claim,verbose=0):
 | 
			
		|||
    True
 | 
			
		||||
    """
 | 
			
		||||
 | 
			
		||||
    return prove(claim=Not(claim),assume=None,verbose=verbose)[0]
 | 
			
		||||
    return prove(claim=Not(claim), assume=None, verbose=verbose)[0]
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def exact_one_model(f):
 | 
			
		||||
| 
						 | 
				
			
			@ -403,15 +401,14 @@ def exact_one_model(f):
 | 
			
		|||
    False
 | 
			
		||||
    """
 | 
			
		||||
 | 
			
		||||
    models = get_models(f,k=2)
 | 
			
		||||
    if isinstance(models,list):
 | 
			
		||||
        return len(models)==1
 | 
			
		||||
    models = get_models(f, k=2)
 | 
			
		||||
    if isinstance(models, list):
 | 
			
		||||
        return len(models) == 1
 | 
			
		||||
    else:
 | 
			
		||||
        return False
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def myBinOp(op,*L):
 | 
			
		||||
def myBinOp(op, *L):
 | 
			
		||||
    """
 | 
			
		||||
    >>> myAnd(*[Bool('x'),Bool('y')])
 | 
			
		||||
    And(x, y)
 | 
			
		||||
| 
						 | 
				
			
			@ -445,38 +442,42 @@ def myBinOp(op,*L):
 | 
			
		|||
    if z3_debug():
 | 
			
		||||
        assert op == Z3_OP_OR or op == Z3_OP_AND or op == Z3_OP_IMPLIES
 | 
			
		||||
 | 
			
		||||
    if len(L)==1 and (isinstance(L[0],list) or isinstance(L[0],tuple)):
 | 
			
		||||
    if len(L) == 1 and (isinstance(L[0], list) or isinstance(L[0], tuple)):
 | 
			
		||||
        L = L[0]
 | 
			
		||||
 | 
			
		||||
    if z3_debug():
 | 
			
		||||
        assert all(not isinstance(l,bool) for l in L)
 | 
			
		||||
        assert all(not isinstance(l, bool) for l in L)
 | 
			
		||||
 | 
			
		||||
    L = [l for l in L if is_expr(l)]
 | 
			
		||||
    if L:
 | 
			
		||||
        if len(L)==1:
 | 
			
		||||
        if len(L) == 1:
 | 
			
		||||
            return L[0]
 | 
			
		||||
        if op == Z3_OP_OR:
 | 
			
		||||
            return Or(L)
 | 
			
		||||
        if op == Z3_OP_AND:
 | 
			
		||||
            return And(L)
 | 
			
		||||
        return Implies(L[0],L[1])
 | 
			
		||||
        return Implies(L[0], L[1])
 | 
			
		||||
    else:
 | 
			
		||||
        return None
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def myAnd(*L):
 | 
			
		||||
    return myBinOp(Z3_OP_AND,*L)
 | 
			
		||||
    return myBinOp(Z3_OP_AND, *L)
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def myOr(*L):
 | 
			
		||||
    return myBinOp(Z3_OP_OR,*L)
 | 
			
		||||
 | 
			
		||||
def myImplies(a,b):
 | 
			
		||||
    return myBinOp(Z3_OP_IMPLIES,[a,b])
 | 
			
		||||
    return myBinOp(Z3_OP_OR, *L)
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
Iff = lambda f: And(Implies(f[0],f[1]),Implies(f[1],f[0]))
 | 
			
		||||
def myImplies(a, b):
 | 
			
		||||
    return myBinOp(Z3_OP_IMPLIES, [a, b])
 | 
			
		||||
 | 
			
		||||
def model_str(m,as_str=True):
 | 
			
		||||
 | 
			
		||||
def Iff(f):
 | 
			
		||||
    return And(Implies(f[0], f[1]), Implies(f[1], f[0]))
 | 
			
		||||
 | 
			
		||||
 | 
			
		||||
def model_str(m, as_str=True):
 | 
			
		||||
    """
 | 
			
		||||
    Returned a 'sorted' model (so that it's easier to see)
 | 
			
		||||
    The model is sorted by its key,
 | 
			
		||||
| 
						 | 
				
			
			@ -488,15 +489,14 @@ def model_str(m,as_str=True):
 | 
			
		|||
 | 
			
		||||
    """
 | 
			
		||||
    if z3_debug():
 | 
			
		||||
        assert m is None or m == [] or isinstance(m,ModelRef)
 | 
			
		||||
        assert m is None or m == [] or isinstance(m, ModelRef)
 | 
			
		||||
 | 
			
		||||
    if m :
 | 
			
		||||
        vs = [(v,m[v]) for v in m]
 | 
			
		||||
        vs = sorted(vs,key=lambda a,_: str(a))
 | 
			
		||||
    if m:
 | 
			
		||||
        vs = [(v, m[v]) for v in m]
 | 
			
		||||
        vs = sorted(vs, key=lambda a, _: str(a))
 | 
			
		||||
        if as_str:
 | 
			
		||||
            return '\n'.join(['{} = {}'.format(k,v) for (k,v) in vs])
 | 
			
		||||
            return "\n".join(["{} = {}".format(k, v) for (k, v) in vs])
 | 
			
		||||
        else:
 | 
			
		||||
            return vs
 | 
			
		||||
    else:
 | 
			
		||||
        return str(m) if as_str else m
 | 
			
		||||
 | 
			
		||||
| 
						 | 
				
			
			
 | 
			
		|||
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