def test_int(self):
self.assertEqual(0, int(bigfloat.Number("")))
self.assertEqual(-7, int(bigfloat.Number("-7")))
self.assertEqual(-7, int(bigfloat.Number("-7.5")))
self.assertEqual(13423412341234,
int(bigfloat.Number("13423412341234")))
self.assertEqual(0, int(bigfloat.Number("0.000000000001431")))
def test_s_to_bf_to_s(self):
self.assertEqual(bigfloat.Number("0"), bigfloat.Number(" -0"))
self.assertEqual(bigfloat.Number("0"), bigfloat.Number(" +0"))
self.assertEqual(bigfloat.Number("0"), bigfloat.Number("0.00000"))
self.assertEqual(bigfloat.Number("1"), bigfloat.Number("1.00000"))
self.assertEqual(
bigfloat.Number("0").get_sign(),
bigfloat.Number("-0").get_sign())
def test_cmp(self):
a = bigfloat.Number("0")
b = bigfloat.Number("-0")
self.assertTrue(a == b)
a = bigfloat.Number("0.001")
b = bigfloat.Number("0")
self.assertTrue(a > b)
self.assertTrue(b < a)
def atom(token):
"数は数にし、それ以外のトークンはシンボルにする。"
try:
if token[0] in [str(i) for i in range(10)] or (token[0] in ["+","-"] and token[1] in [str(i) for i in range(10)]):
return bigfloat.Number(token)
except:
pass
return Symbol(token)
def test_float(self):
self.assertEqual(0.0, float(bigfloat.Number("")))
self.assertEqual(-7, float(bigfloat.Number("-7")))
self.assertEqual(13423412341234,
float(bigfloat.Number("13423412341234")))
self.assertEqual(0.0000001431, float(bigfloat.Number("0.0000001431")))
def test_div_helper(ans, a, b):
u = bigfloat.Number(ans)
v = bigfloat.Number(a)
w = bigfloat.Number(b)
self.assertEqual(u, v / w)
def test_rand(self):
bigfloat.rand_seed(123)
self.assertGreater(bigfloat.rand(), bigfloat.Number())
self.assertLess(bigfloat.rand(), bigfloat.Number("1"))
self.assertNotEqual(bigfloat.rand(), bigfloat.rand())
def test_ln_helper(a1, a2, a3, b, bound):
a = bigfloat.ln(bigfloat.Number(a1)) + bigfloat.ln(
bigfloat.Number(a2)) + bigfloat.ln(bigfloat.Number(a3))
b = bigfloat.ln(bigfloat.Number(b))
test_almost_equal(a, b, bound)
def test_almost_equal(a, b, bound):
err = a - b
self.assertGreaterEqual(bigfloat.Number(bound), err)
self.assertLessEqual(bigfloat.Number("-" + bound), err)
def test_ln(self):
def test_almost_equal(a, b, bound):
err = a - b
self.assertGreaterEqual(bigfloat.Number(bound), err)
self.assertLessEqual(bigfloat.Number("-" + bound), err)
test_almost_equal(bigfloat.Number("0"),
bigfloat.ln(bigfloat.Number("1")), "0.00001")
test_almost_equal(
bigfloat.Number("3") * bigfloat.ln(bigfloat.Number("1")),
bigfloat.ln(bigfloat.Number("1")), "0.00001")
test_almost_equal(
bigfloat.Number("3") * bigfloat.ln(bigfloat.Number("8")),
bigfloat.ln(bigfloat.Number("512")), "0.00001")
test_almost_equal(
bigfloat.Number("3") * bigfloat.ln(bigfloat.Number("0.3")),
bigfloat.ln(bigfloat.Number("0.027")), "0.00001")
test_almost_equal(bigfloat.Number("1"),
bigfloat.ln(bigfloat.Number("2.71828 18284")),
"0.00001")
def test_ln_helper(a1, a2, a3, b, bound):
a = bigfloat.ln(bigfloat.Number(a1)) + bigfloat.ln(
bigfloat.Number(a2)) + bigfloat.ln(bigfloat.Number(a3))
b = bigfloat.ln(bigfloat.Number(b))
test_almost_equal(a, b, bound)
test_ln_helper("100", "10", "1", "1000", "0.00001")
test_ln_helper("2", "3", "7", "42", "0.00001")
test_ln_helper("0.2", "0.3", "0.9", "0.054", "0.00001")
def test_exp_helper(a1, a2, a3, b, bound):
a = bigfloat.exp(bigfloat.Number(a1)) * bigfloat.exp(
bigfloat.Number(a2)) * bigfloat.exp(bigfloat.Number(a3))
b = bigfloat.exp(bigfloat.Number(b))
test_almost_equal(a, b, bound)
def test_exp(self):
self.assertEqual(bigfloat.Number("1"),
bigfloat.exp(bigfloat.Number("0")))
self.assertEqual(
bigfloat.Number("1") / bigfloat.exp(bigfloat.Number("1")),
bigfloat.exp(bigfloat.Number("-1")))
self.assertEqual(
bigfloat.Number("1") / bigfloat.exp(bigfloat.Number("123")),
bigfloat.exp(bigfloat.Number("-123")))
self.assertEqual(
bigfloat.Number("1") / bigfloat.exp(bigfloat.Number("0.3")),
bigfloat.exp(bigfloat.Number("-0.3")))
def test_almost_equal(a, b, bound):
err = a - b
self.assertGreaterEqual(bigfloat.Number(bound), err)
self.assertLessEqual(bigfloat.Number("-" + bound), err)
test_almost_equal(bigfloat.exp(bigfloat.Number("1")),
bigfloat.Number("2.71828 18284"), "0.00001")
def test_exp_helper(a1, a2, a3, b, bound):
a = bigfloat.exp(bigfloat.Number(a1)) * bigfloat.exp(
bigfloat.Number(a2)) * bigfloat.exp(bigfloat.Number(a3))
b = bigfloat.exp(bigfloat.Number(b))
test_almost_equal(a, b, bound)
test_exp_helper("1", "1", "1", "3", "0.0000001")
test_exp_helper("2", "3", "7", "12", "0.0000001")
test_exp_helper("0.2", "0.3", "0.9", "1.4", "0.0000001")
def test_sqrt_helper(ans, a):
u = bigfloat.Number(ans)
v = bigfloat.Number(a)
self.assertEqual(u, bigfloat.sqrt(v))