def test_random_arith(level=MAX_LEVEL, trials=1):
"""
Create random elements of random rings and does some arithmetic
with them, until a crash occurs, in which case an exception is
raised. Defaults to running a single trial, but more can be
specified. To run tests in an infinite loop, you could use:
while True: test_random_arith(trials=100, print_seed=True)
INPUT:
- level -- (default: MAX_LEVEL); controls the types of rings to use
- trials -- A positive integer (default 1); the number of trials
to run.
- seed -- the random seed to use; if not specified, uses a truly
random seed.
- print_seed -- If True (default False), prints the random seed chosen.
EXAMPLES::
sage: import sage.rings.tests
sage: sage.rings.tests.test_random_arith(trials=2, seed=0)
survived 0 tests (memory usage = ...)
Rational Field
-1/2 -1/95
49/95
survived 1 tests (memory usage = ...)
Finite Field of size 49549
2214 16474
40662
sage: sage.rings.tests.test_random_arith(trials=10)
survived 0 tests...
sage: sage.rings.tests.test_random_arith(trials=1000) # long time (5 seconds?)
survived 0 tests...
"""
i = 0
for x in random_rings(level):
print("survived %s tests (memory usage = %s)" %
(i, get_memory_usage()))
i += 1
print(x)
a = x.random_element()
b = x.random_element()
print(a, b)
print(a * b + a - b + 1)
if i >= trials:
return
def test_random_arith(level=MAX_LEVEL, trials=1):
"""
Create random elements of random rings and does some arithmetic
with them, until a crash occurs, in which case an exception is
raised. Defaults to running a single trial, but more can be
specified. To run tests in an infinite loop, you could use:
while True: test_random_arith(trials=100, print_seed=True)
INPUT:
- level -- (default: MAX_LEVEL); controls the types of rings to use
- trials -- A positive integer (default 1); the number of trials
to run.
- seed -- the random seed to use; if not specified, uses a truly
random seed.
- print_seed -- If True (default False), prints the random seed chosen.
EXAMPLES::
sage: import sage.rings.tests
sage: sage.rings.tests.test_random_arith(trials=2, seed=0)
survived 0 tests (memory usage = ...)
Rational Field
-1/2 -1/95
49/95
survived 1 tests (memory usage = ...)
Finite Field of size 49549
2214 16474
40662
sage: sage.rings.tests.test_random_arith(trials=10)
survived 0 tests...
sage: sage.rings.tests.test_random_arith(trials=1000) # long time (5 seconds?)
survived 0 tests...
"""
i = 0
for x in random_rings(level):
print("survived %s tests (memory usage = %s)" %
(i, get_memory_usage()))
i += 1
print(x)
a = x.random_element(); b = x.random_element()
print(a, b)
print(a*b+a-b+1)
if i >= trials:
return
def test_random_elements(level=MAX_LEVEL, trials=1):
"""
Create random elements of random rings until a crash occurs, in
which case an exception is raised. Defaults to running a single
trial, but more can be specified. To run tests in an infinite
loop, you could use:
while True: test_random_elements(trials=100, print_seed=True)
INPUT:
level -- (default: MAX_LEVEL); controls the types of rings to use
trials -- A positive integer (default 1); the number of trials
to run.
seed -- the random seed to use; if not specified, uses a truly
random seed.
print_seed -- If True (default False), prints the random seed chosen.
EXAMPLES::
sage: import sage.rings.tests
sage: sage.rings.tests.test_random_elements(trials=2, seed=0)
survived 0 tests (memory usage = ...)
Rational Field
-1/2
----
survived 1 tests (memory usage = ...)
Finite Field of size 49549
2214
----
sage: sage.rings.tests.test_random_elements(trials=10)
survived 0 tests...
sage: sage.rings.tests.test_random_elements(trials=1000) # long time (5 seconds)
survived 0 tests...
"""
r = random_rings(level)
i = 0
for R in r:
print "survived %s tests (memory usage = %s)"%(i, get_memory_usage())
i += 1
print R
print R.random_element()
print "----"
if i >= trials:
return