def findPolynomial( n, k ):
poly = findpoly( n, int( k ) )
if poly is None:
poly = findpoly( n, int( k ), tol = 1e-10 )
if poly is None:
poly = findpoly( n, int( k ), tol = 1e-7 )
if poly is None:
return [ 0 ]
else:
return poly
def findPolynomial( n, k ):
'''Calls the mpmath findpoly function to try to identify a polynomial of
degree <= k for which n is a zero.'''
poly = findpoly( n, int( k ) )
if poly is None:
poly = findpoly( n, int( k ), tol = 1e-10 )
if poly is None:
poly = findpoly( n, int( k ), tol = 1e-7 )
if poly is None:
return [ 0 ]
else:
return poly
def nsimplify_real(x):
orig = mpmath.mp.dps
xv = x._to_mpmath(bprec)
try:
# We'll be happy with low precision if a simple fraction
if not (tolerance or full):
mpmath.mp.dps = 15
rat = mpmath.findpoly(xv, 1)
if rat is not None:
return Rational(-int(rat[1]), int(rat[0]))
mpmath.mp.dps = prec
newexpr = mpmath.identify(xv, constants=constants_dict,
tol=tolerance, full=full)
if not newexpr:
raise ValueError
if full:
newexpr = newexpr[0]
expr = sympify(newexpr)
if x and not expr: # don't let x become 0
raise ValueError
if expr.is_finite is False and xv not in [mpmath.inf, mpmath.ninf]:
raise ValueError
return expr
finally:
# even though there are returns above, this is executed
# before leaving
mpmath.mp.dps = orig
def nsimplify_real(x):
orig = mpmath.mp.dps
xv = x._to_mpmath(bprec)
try:
# We'll be happy with low precision if a simple fraction
if not (tolerance or full):
mpmath.mp.dps = 15
rat = mpmath.findpoly(xv, 1)
if rat is not None:
return Rational(-int(rat[1]), int(rat[0]))
mpmath.mp.dps = prec
newexpr = mpmath.identify(xv, constants=constants_dict,
tol=tolerance, full=full)
if not newexpr:
raise ValueError
if full:
newexpr = newexpr[0]
expr = sympify(newexpr)
if x and not expr: # don't let x become 0
raise ValueError
if expr.is_finite is False and xv not in [mpmath.inf, mpmath.ninf]:
raise ValueError
return expr
finally:
# even though there are returns above, this is executed
# before leaving
mpmath.mp.dps = orig
def findPolynomialOperator(n, k):
'''
Calls the mpmath findpoly function to try to identify a polynomial of
degree <= k for which n is a zero.
'''
poly = findpoly(n, int(k))
if poly is None:
poly = findpoly(n, int(k), tol=1e-10)
if poly is None:
poly = findpoly(n, int(k), tol=1e-7)
if poly is None:
return [0]
else:
return poly
def findpoly(a, tol=1.0e-15, maxcoeff=100000, max_degree=10):
return mpmath.findpoly(a, n=max_degree, tol=tol, maxcoeff=maxcoeff)