def base_conversion(min_entropy, max_entropy):
"""E.g., "What is 17 base 8 in base 10?"."""
context = composition.Context()
from_base = random.randint(2, 16)
while True:
to_base = random.randint(2, 16)
if to_base != from_base:
break
# Entropy used up in selecting bases.
entropy_used = math.log10(16 * 15)
entropy = random.uniform(min_entropy - entropy_used,
max_entropy - entropy_used)
value = number.integer(entropy, signed=True)
template = random.choice([
'{from_str} (basis {from_base}) ke basis {to_base}',
'Ubah {from_str} (basis {from_base}) menjadi basis {to_base}.',
'Apa {from_str} (basis {from_base}) di basis {to_base}?',
])
return example.Problem(question=example.question(
context,
template,
from_str=display.NumberInBase(value, from_base),
from_base=from_base,
to_base=to_base),
answer=display.NumberInBase(value, to_base))
def testBasic(self): self.assertEqual(str(display.NumberInBase(1, 10)), '1') self.assertEqual(str(display.NumberInBase(-1, 10)), '-1') self.assertEqual(str(display.NumberInBase(1, 2)), '1') self.assertEqual(str(display.NumberInBase(-1, 2)), '-1') self.assertEqual(str(display.NumberInBase(2, 2)), '10') self.assertEqual(str(display.NumberInBase(-2, 2)), '-10') self.assertEqual(str(display.NumberInBase(10, 16)), 'a') self.assertEqual(str(display.NumberInBase(16, 16)), '10') self.assertEqual(str(display.NumberInBase(256, 16)), '100') self.assertEqual(str(display.NumberInBase(-75483, 10)), '-75483')
def add_or_sub_in_base(sample_args):
"""Module for addition and subtraction in another base."""
context = composition.Context()
entropy, sample_args = sample_args.peel()
entropy_p, entropy_q = _entropy_for_pair(entropy)
p = number.integer(entropy_p, signed=True)
q = number.integer(entropy_q, signed=True)
base = random.randint(2, 16)
if random.choice([False, True]):
answer = p + q
template = 'In base {base}, what is {p} + {q}?'
else:
answer = p - q
template = 'In base {base}, what is {p} - {q}?'
return example.Problem(
question=example.question(
context,
template,
base=base,
p=display.NumberInBase(p, base),
q=display.NumberInBase(q, base)),
answer=display.NumberInBase(answer, base))