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import pybertini
def exercise_ring(a, b):
c1 = a+b
c2 = b+a
d1 = a*b
d2 = b*a
e1 = a-b
e2 = b-a
print('{} {} passed ring checks'.format(type(a),type(b)))
def exercise_field(a,b):
exercise_ring(a,b)
f1 = a/b
f2 = b/a
print('{} {} passed field checks'.format(type(a),type(b)))
def compare(a, b):
a < b
a <= b
b < a
b <= a
a > b
a >= b
b > a
b >= a
print('{} {} passed compare checks'.format(type(a),type(b)))
def eq(a,b):
a == b
a != b
b == a
b != a
a == a
a != a
b == b
b != b
print('{} {} passed eq checks'.format(type(a),type(b)))
rings = [pybertini.multiprec.Int(2)]
fields = [pybertini.multiprec.Float(3),pybertini.multiprec.Rational(3,4),pybertini.multiprec.Complex(5,6)]
ordereds = [pybertini.multiprec.Int(2), pybertini.multiprec.Float(3),pybertini.multiprec.Rational(3,4)]
all_types = [pybertini.multiprec.Int(2), pybertini.multiprec.Float(3),pybertini.multiprec.Rational(3,4), pybertini.multiprec.Complex(5,6)]
for ii in rings:
for jj in rings:
exercise_ring(ii,jj)
for ii in fields:
for jj in fields:
exercise_field(ii,jj)
# then mixed products
for ii in rings:
for jj in fields:
exercise_field(ii,jj)
for ii in ordereds:
compare(ii, 1)
for ii in all_types:
eq(ii,ii)