def random_element(self, num_bound=None, den_bound=None, *args, **kwds):
"""
Return an random element of `\QQ`.
EXAMPLES::
sage: QQ.random_element(10,10)
1/4
Passes extra positional or keyword arguments through::
sage: QQ.random_element(10,10, distribution='1/n')
-1
"""
global ZZ
if ZZ is None:
import integer_ring
ZZ = integer_ring.ZZ
if num_bound == None:
num = ZZ.random_element(*args, **kwds)
den = ZZ.random_element(*args, **kwds)
while den == 0: den = ZZ.random_element(*args, **kwds)
return self((num, den))
else:
if num_bound == 0:
num_bound = 2
if den_bound is None:
den_bound = num_bound
if den_bound < 1:
den_bound = 2
num = ZZ.random_element(-num_bound, num_bound+1, *args, **kwds)
den = ZZ.random_element(1, den_bound+1, *args, **kwds)
while den == 0: den = ZZ.random_element(1, den_bound+1, *args, **kwds)
return self((num,den))
def random_element(self, num_bound=None, den_bound=None, *args, **kwds):
"""
EXAMPLES::
sage: QQ.random_element(10,10)
1/4
Passes extra positional or keyword arguments through::
sage: QQ.random_element(10,10, distribution='1/n')
-1
"""
global ZZ
if ZZ is None:
import integer_ring
ZZ = integer_ring.ZZ
if num_bound == None:
num = ZZ.random_element(*args, **kwds)
den = ZZ.random_element(*args, **kwds)
while den == 0:
den = ZZ.random_element(*args, **kwds)
return self((num, den))
else:
if num_bound == 0:
num_bound = 2
if den_bound is None:
den_bound = num_bound
if den_bound < 1:
den_bound = 2
num = ZZ.random_element(-num_bound, num_bound + 1, *args, **kwds)
den = ZZ.random_element(1, den_bound + 1, *args, **kwds)
while den == 0:
den = ZZ.random_element(1, den_bound + 1, *args, **kwds)
return self((num, den))
def random_element(self, num_bound=None, den_bound=None, *args, **kwds):
"""
Return an random element of `\QQ`.
Elements are constructed by randomly choosing integers
for the numerator and denominator, not neccessarily coprime.
INPUT:
- ``num_bound`` -- a positive integer, specifying a bound
on the absolute value of the numerator.
If absent, no bound is enforced.
- ``den_bound`` -- a positive integer, specifying a bound
on the value of the denominator.
If absent, the bound for the numerator will be reused.
Any extra positional or keyword arguments are passed through to
:meth:`sage.rings.integer_ring.IntegerRing_class.random_element`.
EXAMPLES::
sage: QQ.random_element()
-4
sage: QQ.random_element()
0
sage: QQ.random_element()
-1/2
In the following example, the resulting numbers range from
-5/1 to 5/1 (both inclusive),
while the smallest possible positive value is 1/10::
sage: QQ.random_element(5, 10)
-2/7
Extra positional or keyword arguments are passed through::
sage: QQ.random_element(distribution='1/n')
0
sage: QQ.random_element(distribution='1/n')
-1
"""
global ZZ
if ZZ is None:
import integer_ring
ZZ = integer_ring.ZZ
if num_bound is None:
num = ZZ.random_element(*args, **kwds)
den = ZZ.random_element(*args, **kwds)
while den == 0: den = ZZ.random_element(*args, **kwds)
return self((num, den))
else:
if num_bound == 0:
num_bound = 2
if den_bound is None:
den_bound = num_bound
if den_bound < 1:
den_bound = 2
num = ZZ.random_element(-num_bound, num_bound+1, *args, **kwds)
den = ZZ.random_element(1, den_bound+1, *args, **kwds)
while den == 0: den = ZZ.random_element(1, den_bound+1, *args, **kwds)
return self((num,den))
def random_element(self, num_bound=None, den_bound=None, *args, **kwds):
"""
Return an random element of `\QQ`.
Elements are constructed by randomly choosing integers
for the numerator and denominator, not neccessarily coprime.
INPUT:
- ``num_bound`` -- a positive integer, specifying a bound
on the absolute value of the numerator.
If absent, no bound is enforced.
- ``den_bound`` -- a positive integer, specifying a bound
on the value of the denominator.
If absent, the bound for the numerator will be reused.
Any extra positional or keyword arguments are passed through to
:meth:`sage.rings.integer_ring.IntegerRing_class.random_element`.
EXAMPLES::
sage: QQ.random_element()
-4
sage: QQ.random_element()
0
sage: QQ.random_element()
-1/2
In the following example, the resulting numbers range from
-5/1 to 5/1 (both inclusive),
while the smallest possible positive value is 1/10::
sage: QQ.random_element(5, 10)
-2/7
Extra positional or keyword arguments are passed through::
sage: QQ.random_element(distribution='1/n')
0
sage: QQ.random_element(distribution='1/n')
-1
"""
global ZZ
if ZZ is None:
import integer_ring
ZZ = integer_ring.ZZ
if num_bound is None:
num = ZZ.random_element(*args, **kwds)
den = ZZ.random_element(*args, **kwds)
while den == 0:
den = ZZ.random_element(*args, **kwds)
return self((num, den))
else:
if num_bound == 0:
num_bound = 2
if den_bound is None:
den_bound = num_bound
if den_bound < 1:
den_bound = 2
num = ZZ.random_element(-num_bound, num_bound + 1, *args, **kwds)
den = ZZ.random_element(1, den_bound + 1, *args, **kwds)
while den == 0:
den = ZZ.random_element(1, den_bound + 1, *args, **kwds)
return self((num, den))