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cpython/Lib/test/test_decimal.py

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# Copyright (c) 2004 Python Software Foundation.
# All rights reserved.
# Written by Eric Price <eprice at tjhsst.edu>
# and Facundo Batista <facundo at taniquetil.com.ar>
# and Raymond Hettinger <python at rcn.com>
# and Aahz (aahz at pobox.com)
# and Tim Peters
"""
These are the test cases for the Decimal module.
There are two groups of tests, Arithmetic and Behaviour. The former test
the Decimal arithmetic using the tests provided by Mike Cowlishaw. The latter
test the pythonic behaviour according to PEP 327.
Cowlishaw's tests can be downloaded from:
www2.hursley.ibm.com/decimal/dectest.zip
This test module can be called from command line with one parameter (Arithmetic
or Behaviour) to test each part, or without parameter to test both parts. If
you're working through IDLE, you can import this test module and call test_main()
with the corresponding argument.
"""
import glob
import math
import os, sys
import pickle, copy
import unittest
from decimal import *
from test.test_support import (TestSkipped, run_unittest, run_doctest,
is_resource_enabled)
import random
try:
import threading
except ImportError:
threading = None
# Useful Test Constant
Signals = getcontext().flags.keys()
# Tests are built around these assumed context defaults.
# test_main() restores the original context.
def init():
global ORIGINAL_CONTEXT
ORIGINAL_CONTEXT = getcontext().copy()
DefaultTestContext = Context(
prec = 9,
rounding = ROUND_HALF_EVEN,
traps = dict.fromkeys(Signals, 0)
)
setcontext(DefaultTestContext)
TESTDATADIR = 'decimaltestdata'
if __name__ == '__main__':
file = sys.argv[0]
else:
file = __file__
testdir = os.path.dirname(file) or os.curdir
directory = testdir + os.sep + TESTDATADIR + os.sep
skip_expected = not os.path.isdir(directory)
# Make sure it actually raises errors when not expected and caught in flags
# Slower, since it runs some things several times.
EXTENDEDERRORTEST = False
#Map the test cases' error names to the actual errors
ErrorNames = {'clamped' : Clamped,
'conversion_syntax' : InvalidOperation,
'division_by_zero' : DivisionByZero,
'division_impossible' : InvalidOperation,
'division_undefined' : InvalidOperation,
'inexact' : Inexact,
'invalid_context' : InvalidOperation,
'invalid_operation' : InvalidOperation,
'overflow' : Overflow,
'rounded' : Rounded,
'subnormal' : Subnormal,
'underflow' : Underflow}
def Nonfunction(*args):
"""Doesn't do anything."""
return None
RoundingDict = {'ceiling' : ROUND_CEILING, #Maps test-case names to roundings.
'down' : ROUND_DOWN,
'floor' : ROUND_FLOOR,
'half_down' : ROUND_HALF_DOWN,
'half_even' : ROUND_HALF_EVEN,
'half_up' : ROUND_HALF_UP,
'up' : ROUND_UP,
'05up' : ROUND_05UP}
# Name adapter to be able to change the Decimal and Context
# interface without changing the test files from Cowlishaw
nameAdapter = {'and':'logical_and',
'apply':'_apply',
'class':'number_class',
'comparesig':'compare_signal',
'comparetotal':'compare_total',
'comparetotmag':'compare_total_mag',
'copy':'copy_decimal',
'copyabs':'copy_abs',
'copynegate':'copy_negate',
'copysign':'copy_sign',
'divideint':'divide_int',
'invert':'logical_invert',
'iscanonical':'is_canonical',
'isfinite':'is_finite',
'isinfinite':'is_infinite',
'isnan':'is_nan',
'isnormal':'is_normal',
'isqnan':'is_qnan',
'issigned':'is_signed',
'issnan':'is_snan',
'issubnormal':'is_subnormal',
'iszero':'is_zero',
'maxmag':'max_mag',
'minmag':'min_mag',
'nextminus':'next_minus',
'nextplus':'next_plus',
'nexttoward':'next_toward',
'or':'logical_or',
'reduce':'normalize',
'remaindernear':'remainder_near',
'samequantum':'same_quantum',
'squareroot':'sqrt',
'toeng':'to_eng_string',
'tointegral':'to_integral_value',
'tointegralx':'to_integral_exact',
'tosci':'to_sci_string',
'xor':'logical_xor',
}
# The following functions return True/False rather than a Decimal instance
LOGICAL_FUNCTIONS = (
'is_canonical',
'is_finite',
'is_infinite',
'is_nan',
'is_normal',
'is_qnan',
'is_signed',
'is_snan',
'is_subnormal',
'is_zero',
'same_quantum',
)
# For some operations (currently exp, ln, log10, power), the decNumber
# reference implementation imposes additional restrictions on the
# context and operands. These restrictions are not part of the
# specification; however, the effect of these restrictions does show
# up in some of the testcases. We skip testcases that violate these
# restrictions, since Decimal behaves differently from decNumber for
# these testcases so these testcases would otherwise fail.
decNumberRestricted = ('power', 'ln', 'log10', 'exp')
DEC_MAX_MATH = 999999
def outside_decNumber_bounds(v, context):
if (context.prec > DEC_MAX_MATH or
context.Emax > DEC_MAX_MATH or
-context.Emin > DEC_MAX_MATH):
return True
if not v._is_special and v and (
v.adjusted() > DEC_MAX_MATH or
v.adjusted() < 1-2*DEC_MAX_MATH):
return True
return False
class DecimalTest(unittest.TestCase):
"""Class which tests the Decimal class against the test cases.
Changed for unittest.
"""
def setUp(self):
self.context = Context()
self.ignore_list = ['#']
# Basically, a # means return NaN InvalidOperation.
# Different from a sNaN in trim
self.ChangeDict = {'precision' : self.change_precision,
'rounding' : self.change_rounding_method,
'maxexponent' : self.change_max_exponent,
'minexponent' : self.change_min_exponent,
'clamp' : self.change_clamp}
def eval_file(self, file):
global skip_expected
if skip_expected:
raise TestSkipped
return
for line in open(file).xreadlines():
line = line.replace('\r\n', '').replace('\n', '')
#print line
try:
t = self.eval_line(line)
except DecimalException, exception:
#Exception raised where there shoudn't have been one.
self.fail('Exception "'+exception.__class__.__name__ + '" raised on line '+line)
return
def eval_line(self, s):
if s.find(' -> ') >= 0 and s[:2] != '--' and not s.startswith(' --'):
s = (s.split('->')[0] + '->' +
s.split('->')[1].split('--')[0]).strip()
else:
s = s.split('--')[0].strip()
for ignore in self.ignore_list:
if s.find(ignore) >= 0:
#print s.split()[0], 'NotImplemented--', ignore
return
if not s:
return
elif ':' in s:
return self.eval_directive(s)
else:
return self.eval_equation(s)
def eval_directive(self, s):
funct, value = map(lambda x: x.strip().lower(), s.split(':'))
if funct == 'rounding':
value = RoundingDict[value]
else:
try:
value = int(value)
except ValueError:
pass
funct = self.ChangeDict.get(funct, Nonfunction)
funct(value)
def eval_equation(self, s):
#global DEFAULT_PRECISION
#print DEFAULT_PRECISION
if not TEST_ALL and random.random() < 0.90:
return
try:
Sides = s.split('->')
L = Sides[0].strip().split()
id = L[0]
if DEBUG:
print "Test ", id,
funct = L[1].lower()
valstemp = L[2:]
L = Sides[1].strip().split()
ans = L[0]
exceptions = L[1:]
except (TypeError, AttributeError, IndexError):
raise InvalidOperation
def FixQuotes(val):
val = val.replace("''", 'SingleQuote').replace('""', 'DoubleQuote')
val = val.replace("'", '').replace('"', '')
val = val.replace('SingleQuote', "'").replace('DoubleQuote', '"')
return val
fname = nameAdapter.get(funct, funct)
if fname == 'rescale':
return
funct = getattr(self.context, fname)
vals = []
conglomerate = ''
quote = 0
theirexceptions = [ErrorNames[x.lower()] for x in exceptions]
for exception in Signals:
self.context.traps[exception] = 1 #Catch these bugs...
for exception in theirexceptions:
self.context.traps[exception] = 0
for i, val in enumerate(valstemp):
if val.count("'") % 2 == 1:
quote = 1 - quote
if quote:
conglomerate = conglomerate + ' ' + val
continue
else:
val = conglomerate + val
conglomerate = ''
v = FixQuotes(val)
if fname in ('to_sci_string', 'to_eng_string'):
if EXTENDEDERRORTEST:
for error in theirexceptions:
self.context.traps[error] = 1
try:
funct(self.context.create_decimal(v))
except error:
pass
except Signals, e:
self.fail("Raised %s in %s when %s disabled" % \
(e, s, error))
else:
self.fail("Did not raise %s in %s" % (error, s))
self.context.traps[error] = 0
v = self.context.create_decimal(v)
else:
v = Decimal(v, self.context)
vals.append(v)
ans = FixQuotes(ans)
# skip tests that are related to bounds imposed in the decNumber
# reference implementation
if fname in decNumberRestricted:
if fname == 'power':
if not (vals[1]._isinteger() and
-1999999997 <= vals[1] <= 999999999):
if outside_decNumber_bounds(vals[0], self.context) or \
outside_decNumber_bounds(vals[1], self.context):
#print "Skipping test %s" % s
return
else:
if outside_decNumber_bounds(vals[0], self.context):
#print "Skipping test %s" % s
return
if EXTENDEDERRORTEST and fname not in ('to_sci_string', 'to_eng_string'):
for error in theirexceptions:
self.context.traps[error] = 1
try:
funct(*vals)
except error:
pass
except Signals, e:
self.fail("Raised %s in %s when %s disabled" % \
(e, s, error))
else:
self.fail("Did not raise %s in %s" % (error, s))
self.context.traps[error] = 0
if DEBUG:
print "--", self.context
try:
result = str(funct(*vals))
if fname in LOGICAL_FUNCTIONS:
result = str(int(eval(result))) # 'True', 'False' -> '1', '0'
except Signals, error:
self.fail("Raised %s in %s" % (error, s))
except: #Catch any error long enough to state the test case.
print "ERROR:", s
raise
myexceptions = self.getexceptions()
self.context.clear_flags()
myexceptions.sort()
theirexceptions.sort()
self.assertEqual(result, ans,
'Incorrect answer for ' + s + ' -- got ' + result)
self.assertEqual(myexceptions, theirexceptions,
'Incorrect flags set in ' + s + ' -- got ' + str(myexceptions))
return
def getexceptions(self):
return [e for e in Signals if self.context.flags[e]]
def change_precision(self, prec):
self.context.prec = prec
def change_rounding_method(self, rounding):
self.context.rounding = rounding
def change_min_exponent(self, exp):
self.context.Emin = exp
def change_max_exponent(self, exp):
self.context.Emax = exp
def change_clamp(self, clamp):
self.context._clamp = clamp
# The following classes test the behaviour of Decimal according to PEP 327
class DecimalExplicitConstructionTest(unittest.TestCase):
'''Unit tests for Explicit Construction cases of Decimal.'''
def test_explicit_empty(self):
self.assertEqual(Decimal(), Decimal("0"))
def test_explicit_from_None(self):
self.assertRaises(TypeError, Decimal, None)
def test_explicit_from_int(self):
#positive
d = Decimal(45)
self.assertEqual(str(d), '45')
#very large positive
d = Decimal(500000123)
self.assertEqual(str(d), '500000123')
#negative
d = Decimal(-45)
self.assertEqual(str(d), '-45')
#zero
d = Decimal(0)
self.assertEqual(str(d), '0')
def test_explicit_from_string(self):
#empty
self.assertEqual(str(Decimal('')), 'NaN')
#int
self.assertEqual(str(Decimal('45')), '45')
#float
self.assertEqual(str(Decimal('45.34')), '45.34')
#engineer notation
self.assertEqual(str(Decimal('45e2')), '4.5E+3')
#just not a number
self.assertEqual(str(Decimal('ugly')), 'NaN')
#leading and trailing whitespace permitted
self.assertEqual(str(Decimal('1.3E4 \n')), '1.3E+4')
self.assertEqual(str(Decimal(' -7.89')), '-7.89')
#unicode strings should be permitted
self.assertEqual(str(Decimal(u'0E-017')), '0E-17')
self.assertEqual(str(Decimal(u'45')), '45')
self.assertEqual(str(Decimal(u'-Inf')), '-Infinity')
self.assertEqual(str(Decimal(u'NaN123')), 'NaN123')
#but alternate unicode digits should not
self.assertEqual(str(Decimal(u'\uff11')), 'NaN')
def test_explicit_from_tuples(self):
#zero
d = Decimal( (0, (0,), 0) )
self.assertEqual(str(d), '0')
#int
d = Decimal( (1, (4, 5), 0) )
self.assertEqual(str(d), '-45')
#float
d = Decimal( (0, (4, 5, 3, 4), -2) )
self.assertEqual(str(d), '45.34')
#weird
d = Decimal( (1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25) )
self.assertEqual(str(d), '-4.34913534E-17')
#wrong number of items
self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, 9, 1)) )
#bad sign
self.assertRaises(ValueError, Decimal, (8, (4, 3, 4, 9, 1), 2) )
self.assertRaises(ValueError, Decimal, (0., (4, 3, 4, 9, 1), 2) )
self.assertRaises(ValueError, Decimal, (Decimal(1), (4, 3, 4, 9, 1), 2))
#bad exp
self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, 9, 1), 'wrong!') )
self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, 9, 1), 0.) )
self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, 9, 1), '1') )
#bad coefficients
self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, None, 1), 2) )
self.assertRaises(ValueError, Decimal, (1, (4, -3, 4, 9, 1), 2) )
self.assertRaises(ValueError, Decimal, (1, (4, 10, 4, 9, 1), 2) )
self.assertRaises(ValueError, Decimal, (1, (4, 3, 4, 'a', 1), 2) )
def test_explicit_from_Decimal(self):
#positive
d = Decimal(45)
e = Decimal(d)
self.assertEqual(str(e), '45')
self.assertNotEqual(id(d), id(e))
#very large positive
d = Decimal(500000123)
e = Decimal(d)
self.assertEqual(str(e), '500000123')
self.assertNotEqual(id(d), id(e))
#negative
d = Decimal(-45)
e = Decimal(d)
self.assertEqual(str(e), '-45')
self.assertNotEqual(id(d), id(e))
#zero
d = Decimal(0)
e = Decimal(d)
self.assertEqual(str(e), '0')
self.assertNotEqual(id(d), id(e))
def test_explicit_context_create_decimal(self):
nc = copy.copy(getcontext())
nc.prec = 3
# empty
d = Decimal()
self.assertEqual(str(d), '0')
d = nc.create_decimal()
self.assertEqual(str(d), '0')
# from None
self.assertRaises(TypeError, nc.create_decimal, None)
# from int
d = nc.create_decimal(456)
self.failUnless(isinstance(d, Decimal))
self.assertEqual(nc.create_decimal(45678),
nc.create_decimal('457E+2'))
# from string
d = Decimal('456789')
self.assertEqual(str(d), '456789')
d = nc.create_decimal('456789')
self.assertEqual(str(d), '4.57E+5')
# leading and trailing whitespace should result in a NaN;
# spaces are already checked in Cowlishaw's test-suite, so
# here we just check that a trailing newline results in a NaN
self.assertEqual(str(nc.create_decimal('3.14\n')), 'NaN')
# from tuples
d = Decimal( (1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25) )
self.assertEqual(str(d), '-4.34913534E-17')
d = nc.create_decimal( (1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25) )
self.assertEqual(str(d), '-4.35E-17')
# from Decimal
prevdec = Decimal(500000123)
d = Decimal(prevdec)
self.assertEqual(str(d), '500000123')
d = nc.create_decimal(prevdec)
self.assertEqual(str(d), '5.00E+8')
class DecimalImplicitConstructionTest(unittest.TestCase):
'''Unit tests for Implicit Construction cases of Decimal.'''
def test_implicit_from_None(self):
self.assertRaises(TypeError, eval, 'Decimal(5) + None', globals())
def test_implicit_from_int(self):
#normal
self.assertEqual(str(Decimal(5) + 45), '50')
#exceeding precision
self.assertEqual(Decimal(5) + 123456789000, Decimal(123456789000))
def test_implicit_from_string(self):
self.assertRaises(TypeError, eval, 'Decimal(5) + "3"', globals())
def test_implicit_from_float(self):
self.assertRaises(TypeError, eval, 'Decimal(5) + 2.2', globals())
def test_implicit_from_Decimal(self):
self.assertEqual(Decimal(5) + Decimal(45), Decimal(50))
def test_rop(self):
# Allow other classes to be trained to interact with Decimals
class E:
def __divmod__(self, other):
return 'divmod ' + str(other)
def __rdivmod__(self, other):
return str(other) + ' rdivmod'
def __lt__(self, other):
return 'lt ' + str(other)
def __gt__(self, other):
return 'gt ' + str(other)
def __le__(self, other):
return 'le ' + str(other)
def __ge__(self, other):
return 'ge ' + str(other)
def __eq__(self, other):
return 'eq ' + str(other)
def __ne__(self, other):
return 'ne ' + str(other)
self.assertEqual(divmod(E(), Decimal(10)), 'divmod 10')
self.assertEqual(divmod(Decimal(10), E()), '10 rdivmod')
self.assertEqual(eval('Decimal(10) < E()'), 'gt 10')
self.assertEqual(eval('Decimal(10) > E()'), 'lt 10')
self.assertEqual(eval('Decimal(10) <= E()'), 'ge 10')
self.assertEqual(eval('Decimal(10) >= E()'), 'le 10')
self.assertEqual(eval('Decimal(10) == E()'), 'eq 10')
self.assertEqual(eval('Decimal(10) != E()'), 'ne 10')
# insert operator methods and then exercise them
oplist = [
('+', '__add__', '__radd__'),
('-', '__sub__', '__rsub__'),
('*', '__mul__', '__rmul__'),
('%', '__mod__', '__rmod__'),
('//', '__floordiv__', '__rfloordiv__'),
('**', '__pow__', '__rpow__')
]
if 1/2 == 0:
# testing with classic division, so add __div__
oplist.append(('/', '__div__', '__rdiv__'))
else:
# testing with -Qnew, so add __truediv__
oplist.append(('/', '__truediv__', '__rtruediv__'))
for sym, lop, rop in oplist:
setattr(E, lop, lambda self, other: 'str' + lop + str(other))
setattr(E, rop, lambda self, other: str(other) + rop + 'str')
self.assertEqual(eval('E()' + sym + 'Decimal(10)'),
'str' + lop + '10')
self.assertEqual(eval('Decimal(10)' + sym + 'E()'),
'10' + rop + 'str')
class DecimalFormatTest(unittest.TestCase):
'''Unit tests for the format function.'''
def test_formatting(self):
# triples giving a format, a Decimal, and the expected result
test_values = [
('e', '0E-15', '0e-15'),
('e', '2.3E-15', '2.3e-15'),
('e', '2.30E+2', '2.30e+2'), # preserve significant zeros
('e', '2.30000E-15', '2.30000e-15'),
('e', '1.23456789123456789e40', '1.23456789123456789e+40'),
('e', '1.5', '1.5e+0'),
('e', '0.15', '1.5e-1'),
('e', '0.015', '1.5e-2'),
('e', '0.0000000000015', '1.5e-12'),
('e', '15.0', '1.50e+1'),
('e', '-15', '-1.5e+1'),
('e', '0', '0e+0'),
('e', '0E1', '0e+1'),
('e', '0.0', '0e-1'),
('e', '0.00', '0e-2'),
('.6e', '0E-15', '0.000000e-9'),
('.6e', '0', '0.000000e+6'),
('.6e', '9.999999', '9.999999e+0'),
('.6e', '9.9999999', '1.000000e+1'),
('.6e', '-1.23e5', '-1.230000e+5'),
('.6e', '1.23456789e-3', '1.234568e-3'),
('f', '0', '0'),
('f', '0.0', '0.0'),
('f', '0E-2', '0.00'),
('f', '0.00E-8', '0.0000000000'),
('f', '0E1', '0'), # loses exponent information
('f', '3.2E1', '32'),
('f', '3.2E2', '320'),
('f', '3.20E2', '320'),
('f', '3.200E2', '320.0'),
('f', '3.2E-6', '0.0000032'),
('.6f', '0E-15', '0.000000'), # all zeros treated equally
('.6f', '0E1', '0.000000'),
('.6f', '0', '0.000000'),
('.0f', '0', '0'), # no decimal point
('.0f', '0e-2', '0'),
('.0f', '3.14159265', '3'),
('.1f', '3.14159265', '3.1'),
('.4f', '3.14159265', '3.1416'),
('.6f', '3.14159265', '3.141593'),
('.7f', '3.14159265', '3.1415926'), # round-half-even!
('.8f', '3.14159265', '3.14159265'),
('.9f', '3.14159265', '3.141592650'),
('g', '0', '0'),
('g', '0.0', '0.0'),
('g', '0E1', '0e+1'),
('G', '0E1', '0E+1'),
('g', '0E-5', '0.00000'),
('g', '0E-6', '0.000000'),
('g', '0E-7', '0e-7'),
('g', '-0E2', '-0e+2'),
('.0g', '3.14159265', '3'), # 0 sig fig -> 1 sig fig
('.1g', '3.14159265', '3'),
('.2g', '3.14159265', '3.1'),
('.5g', '3.14159265', '3.1416'),
('.7g', '3.14159265', '3.141593'),
('.8g', '3.14159265', '3.1415926'), # round-half-even!
('.9g', '3.14159265', '3.14159265'),
('.10g', '3.14159265', '3.14159265'), # don't pad
('%', '0E1', '0%'),
('%', '0E0', '0%'),
('%', '0E-1', '0%'),
('%', '0E-2', '0%'),
('%', '0E-3', '0.0%'),
('%', '0E-4', '0.00%'),
('.3%', '0', '0.000%'), # all zeros treated equally
('.3%', '0E10', '0.000%'),
('.3%', '0E-10', '0.000%'),
('.3%', '2.34', '234.000%'),
('.3%', '1.234567', '123.457%'),
('.0%', '1.23', '123%'),
('e', 'NaN', 'NaN'),
('f', '-NaN123', '-NaN123'),
('+g', 'NaN456', '+NaN456'),
('.3e', 'Inf', 'Infinity'),
('.16f', '-Inf', '-Infinity'),
('.0g', '-sNaN', '-sNaN'),
('', '1.00', '1.00'),
]
for fmt, d, result in test_values:
self.assertEqual(format(Decimal(d), fmt), result)
class DecimalArithmeticOperatorsTest(unittest.TestCase):
'''Unit tests for all arithmetic operators, binary and unary.'''
def test_addition(self):
d1 = Decimal('-11.1')
d2 = Decimal('22.2')
#two Decimals
self.assertEqual(d1+d2, Decimal('11.1'))
self.assertEqual(d2+d1, Decimal('11.1'))
#with other type, left
c = d1 + 5
self.assertEqual(c, Decimal('-6.1'))
self.assertEqual(type(c), type(d1))
#with other type, right
c = 5 + d1
self.assertEqual(c, Decimal('-6.1'))
self.assertEqual(type(c), type(d1))
#inline with decimal
d1 += d2
self.assertEqual(d1, Decimal('11.1'))
#inline with other type
d1 += 5
self.assertEqual(d1, Decimal('16.1'))
def test_subtraction(self):
d1 = Decimal('-11.1')
d2 = Decimal('22.2')
#two Decimals
self.assertEqual(d1-d2, Decimal('-33.3'))
self.assertEqual(d2-d1, Decimal('33.3'))
#with other type, left
c = d1 - 5
self.assertEqual(c, Decimal('-16.1'))
self.assertEqual(type(c), type(d1))
#with other type, right
c = 5 - d1
self.assertEqual(c, Decimal('16.1'))
self.assertEqual(type(c), type(d1))
#inline with decimal
d1 -= d2
self.assertEqual(d1, Decimal('-33.3'))
#inline with other type
d1 -= 5
self.assertEqual(d1, Decimal('-38.3'))
def test_multiplication(self):
d1 = Decimal('-5')
d2 = Decimal('3')
#two Decimals
self.assertEqual(d1*d2, Decimal('-15'))
self.assertEqual(d2*d1, Decimal('-15'))
#with other type, left
c = d1 * 5
self.assertEqual(c, Decimal('-25'))
self.assertEqual(type(c), type(d1))
#with other type, right
c = 5 * d1
self.assertEqual(c, Decimal('-25'))
self.assertEqual(type(c), type(d1))
#inline with decimal
d1 *= d2
self.assertEqual(d1, Decimal('-15'))
#inline with other type
d1 *= 5
self.assertEqual(d1, Decimal('-75'))
def test_division(self):
d1 = Decimal('-5')
d2 = Decimal('2')
#two Decimals
self.assertEqual(d1/d2, Decimal('-2.5'))
self.assertEqual(d2/d1, Decimal('-0.4'))
#with other type, left
c = d1 / 4
self.assertEqual(c, Decimal('-1.25'))
self.assertEqual(type(c), type(d1))
#with other type, right
c = 4 / d1
self.assertEqual(c, Decimal('-0.8'))
self.assertEqual(type(c), type(d1))
#inline with decimal
d1 /= d2
self.assertEqual(d1, Decimal('-2.5'))
#inline with other type
d1 /= 4
self.assertEqual(d1, Decimal('-0.625'))
def test_floor_division(self):
d1 = Decimal('5')
d2 = Decimal('2')
#two Decimals
self.assertEqual(d1//d2, Decimal('2'))
self.assertEqual(d2//d1, Decimal('0'))
#with other type, left
c = d1 // 4
self.assertEqual(c, Decimal('1'))
self.assertEqual(type(c), type(d1))
#with other type, right
c = 7 // d1
self.assertEqual(c, Decimal('1'))
self.assertEqual(type(c), type(d1))
#inline with decimal
d1 //= d2
self.assertEqual(d1, Decimal('2'))
#inline with other type
d1 //= 2
self.assertEqual(d1, Decimal('1'))
def test_powering(self):
d1 = Decimal('5')
d2 = Decimal('2')
#two Decimals
self.assertEqual(d1**d2, Decimal('25'))
self.assertEqual(d2**d1, Decimal('32'))
#with other type, left
c = d1 ** 4
self.assertEqual(c, Decimal('625'))
self.assertEqual(type(c), type(d1))
#with other type, right
c = 7 ** d1
self.assertEqual(c, Decimal('16807'))
self.assertEqual(type(c), type(d1))
#inline with decimal
d1 **= d2
self.assertEqual(d1, Decimal('25'))
#inline with other type
d1 **= 4
self.assertEqual(d1, Decimal('390625'))
def test_module(self):
d1 = Decimal('5')
d2 = Decimal('2')
#two Decimals
self.assertEqual(d1%d2, Decimal('1'))
self.assertEqual(d2%d1, Decimal('2'))
#with other type, left
c = d1 % 4
self.assertEqual(c, Decimal('1'))
self.assertEqual(type(c), type(d1))
#with other type, right
c = 7 % d1
self.assertEqual(c, Decimal('2'))
self.assertEqual(type(c), type(d1))
#inline with decimal
d1 %= d2
self.assertEqual(d1, Decimal('1'))
#inline with other type
d1 %= 4
self.assertEqual(d1, Decimal('1'))
def test_floor_div_module(self):
d1 = Decimal('5')
d2 = Decimal('2')
#two Decimals
(p, q) = divmod(d1, d2)
self.assertEqual(p, Decimal('2'))
self.assertEqual(q, Decimal('1'))
self.assertEqual(type(p), type(d1))
self.assertEqual(type(q), type(d1))
#with other type, left
(p, q) = divmod(d1, 4)
self.assertEqual(p, Decimal('1'))
self.assertEqual(q, Decimal('1'))
self.assertEqual(type(p), type(d1))
self.assertEqual(type(q), type(d1))
#with other type, right
(p, q) = divmod(7, d1)
self.assertEqual(p, Decimal('1'))
self.assertEqual(q, Decimal('2'))
self.assertEqual(type(p), type(d1))
self.assertEqual(type(q), type(d1))
def test_unary_operators(self):
self.assertEqual(+Decimal(45), Decimal(+45)) # +
self.assertEqual(-Decimal(45), Decimal(-45)) # -
self.assertEqual(abs(Decimal(45)), abs(Decimal(-45))) # abs
def test_nan_comparisons(self):
n = Decimal('NaN')
s = Decimal('sNaN')
i = Decimal('Inf')
f = Decimal('2')
for x, y in [(n, n), (n, i), (i, n), (n, f), (f, n),
(s, n), (n, s), (s, i), (i, s), (s, f), (f, s), (s, s)]:
self.assert_(x != y)
self.assert_(not (x == y))
self.assert_(not (x < y))
self.assert_(not (x <= y))
self.assert_(not (x > y))
self.assert_(not (x >= y))
# The following are two functions used to test threading in the next class
def thfunc1(cls):
d1 = Decimal(1)
d3 = Decimal(3)
test1 = d1/d3
cls.synchro.wait()
test2 = d1/d3
cls.finish1.set()
cls.assertEqual(test1, Decimal('0.3333333333333333333333333333'))
cls.assertEqual(test2, Decimal('0.3333333333333333333333333333'))
return
def thfunc2(cls):
d1 = Decimal(1)
d3 = Decimal(3)
test1 = d1/d3
thiscontext = getcontext()
thiscontext.prec = 18
test2 = d1/d3
cls.synchro.set()
cls.finish2.set()
cls.assertEqual(test1, Decimal('0.3333333333333333333333333333'))
cls.assertEqual(test2, Decimal('0.333333333333333333'))
return
class DecimalUseOfContextTest(unittest.TestCase):
'''Unit tests for Use of Context cases in Decimal.'''
try:
import threading
except ImportError:
threading = None
# Take care executing this test from IDLE, there's an issue in threading
# that hangs IDLE and I couldn't find it
def test_threading(self):
#Test the "threading isolation" of a Context.
self.synchro = threading.Event()
self.finish1 = threading.Event()
self.finish2 = threading.Event()
th1 = threading.Thread(target=thfunc1, args=(self,))
th2 = threading.Thread(target=thfunc2, args=(self,))
th1.start()
th2.start()
self.finish1.wait()
self.finish2.wait()
return
if threading is None:
del test_threading
class DecimalUsabilityTest(unittest.TestCase):
'''Unit tests for Usability cases of Decimal.'''
def test_comparison_operators(self):
da = Decimal('23.42')
db = Decimal('23.42')
dc = Decimal('45')
#two Decimals
self.failUnless(dc > da)
self.failUnless(dc >= da)
self.failUnless(da < dc)
self.failUnless(da <= dc)
self.failUnless(da == db)
self.failUnless(da != dc)
self.failUnless(da <= db)
self.failUnless(da >= db)
self.assertEqual(cmp(dc,da), 1)
self.assertEqual(cmp(da,dc), -1)
self.assertEqual(cmp(da,db), 0)
#a Decimal and an int
self.failUnless(dc > 23)
self.failUnless(23 < dc)
self.failUnless(dc == 45)
self.assertEqual(cmp(dc,23), 1)
self.assertEqual(cmp(23,dc), -1)
self.assertEqual(cmp(dc,45), 0)
#a Decimal and uncomparable
self.assertNotEqual(da, 'ugly')
self.assertNotEqual(da, 32.7)
self.assertNotEqual(da, object())
self.assertNotEqual(da, object)
# sortable
a = map(Decimal, xrange(100))
b = a[:]
random.shuffle(a)
a.sort()
self.assertEqual(a, b)
# with None
self.assertFalse(Decimal(1) < None)
self.assertTrue(Decimal(1) > None)
def test_copy_and_deepcopy_methods(self):
d = Decimal('43.24')
c = copy.copy(d)
self.assertEqual(id(c), id(d))
dc = copy.deepcopy(d)
self.assertEqual(id(dc), id(d))
def test_hash_method(self):
#just that it's hashable
hash(Decimal(23))
test_values = [Decimal(sign*(2**m + n))
for m in [0, 14, 15, 16, 17, 30, 31,
32, 33, 62, 63, 64, 65, 66]
for n in range(-10, 10)
for sign in [-1, 1]]
test_values.extend([
Decimal("-0"), # zeros
Decimal("0.00"),
Decimal("-0.000"),
Decimal("0E10"),
Decimal("-0E12"),
Decimal("10.0"), # negative exponent
Decimal("-23.00000"),
Decimal("1230E100"), # positive exponent
Decimal("-4.5678E50"),
# a value for which hash(n) != hash(n % (2**64-1))
# in Python pre-2.6
Decimal(2**64 + 2**32 - 1),
# selection of values which fail with the old (before
# version 2.6) long.__hash__
Decimal("1.634E100"),
Decimal("90.697E100"),
Decimal("188.83E100"),
Decimal("1652.9E100"),
Decimal("56531E100"),
])
# check that hash(d) == hash(int(d)) for integral values
for value in test_values:
self.assertEqual(hash(value), hash(int(value)))
#the same hash that to an int
self.assertEqual(hash(Decimal(23)), hash(23))
self.assertRaises(TypeError, hash, Decimal('NaN'))
self.assert_(hash(Decimal('Inf')))
self.assert_(hash(Decimal('-Inf')))
# check that the value of the hash doesn't depend on the
# current context (issue #1757)
c = getcontext()
old_precision = c.prec
x = Decimal("123456789.1")
c.prec = 6
h1 = hash(x)
c.prec = 10
h2 = hash(x)
c.prec = 16
h3 = hash(x)
self.assertEqual(h1, h2)
self.assertEqual(h1, h3)
c.prec = old_precision
def test_min_and_max_methods(self):
d1 = Decimal('15.32')
d2 = Decimal('28.5')
l1 = 15
l2 = 28
#between Decimals
self.failUnless(min(d1,d2) is d1)
self.failUnless(min(d2,d1) is d1)
self.failUnless(max(d1,d2) is d2)
self.failUnless(max(d2,d1) is d2)
#between Decimal and long
self.failUnless(min(d1,l2) is d1)
self.failUnless(min(l2,d1) is d1)
self.failUnless(max(l1,d2) is d2)
self.failUnless(max(d2,l1) is d2)
def test_as_nonzero(self):
#as false
self.failIf(Decimal(0))
#as true
self.failUnless(Decimal('0.372'))
def test_tostring_methods(self):
#Test str and repr methods.
d = Decimal('15.32')
self.assertEqual(str(d), '15.32') # str
self.assertEqual(repr(d), "Decimal('15.32')") # repr
# result type of string methods should be str, not unicode
unicode_inputs = [u'123.4', u'0.5E2', u'Infinity', u'sNaN',
u'-0.0E100', u'-NaN001', u'-Inf']
for u in unicode_inputs:
d = Decimal(u)
self.assertEqual(type(str(d)), str)
self.assertEqual(type(repr(d)), str)
self.assertEqual(type(d.to_eng_string()), str)
def test_tonum_methods(self):
#Test float, int and long methods.
d1 = Decimal('66')
d2 = Decimal('15.32')
#int
self.assertEqual(int(d1), 66)
self.assertEqual(int(d2), 15)
#long
self.assertEqual(long(d1), 66)
self.assertEqual(long(d2), 15)
#float
self.assertEqual(float(d1), 66)
self.assertEqual(float(d2), 15.32)
def test_eval_round_trip(self):
#with zero
d = Decimal( (0, (0,), 0) )
self.assertEqual(d, eval(repr(d)))
#int
d = Decimal( (1, (4, 5), 0) )
self.assertEqual(d, eval(repr(d)))
#float
d = Decimal( (0, (4, 5, 3, 4), -2) )
self.assertEqual(d, eval(repr(d)))
#weird
d = Decimal( (1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25) )
self.assertEqual(d, eval(repr(d)))
def test_as_tuple(self):
#with zero
d = Decimal(0)
self.assertEqual(d.as_tuple(), (0, (0,), 0) )
#int
d = Decimal(-45)
self.assertEqual(d.as_tuple(), (1, (4, 5), 0) )
#complicated string
d = Decimal("-4.34913534E-17")
self.assertEqual(d.as_tuple(), (1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25) )
#inf
d = Decimal("Infinity")
self.assertEqual(d.as_tuple(), (0, (0,), 'F') )
#leading zeros in coefficient should be stripped
d = Decimal( (0, (0, 0, 4, 0, 5, 3, 4), -2) )
self.assertEqual(d.as_tuple(), (0, (4, 0, 5, 3, 4), -2) )
d = Decimal( (1, (0, 0, 0), 37) )
self.assertEqual(d.as_tuple(), (1, (0,), 37))
d = Decimal( (1, (), 37) )
self.assertEqual(d.as_tuple(), (1, (0,), 37))
#leading zeros in NaN diagnostic info should be stripped
d = Decimal( (0, (0, 0, 4, 0, 5, 3, 4), 'n') )
self.assertEqual(d.as_tuple(), (0, (4, 0, 5, 3, 4), 'n') )
d = Decimal( (1, (0, 0, 0), 'N') )
self.assertEqual(d.as_tuple(), (1, (), 'N') )
d = Decimal( (1, (), 'n') )
self.assertEqual(d.as_tuple(), (1, (), 'n') )
#coefficient in infinity should be ignored
d = Decimal( (0, (4, 5, 3, 4), 'F') )
self.assertEqual(d.as_tuple(), (0, (0,), 'F'))
d = Decimal( (1, (0, 2, 7, 1), 'F') )
self.assertEqual(d.as_tuple(), (1, (0,), 'F'))
def test_immutability_operations(self):
# Do operations and check that it didn't change change internal objects.
d1 = Decimal('-25e55')
b1 = Decimal('-25e55')
d2 = Decimal('33e+33')
b2 = Decimal('33e+33')
def checkSameDec(operation, useOther=False):
if useOther:
eval("d1." + operation + "(d2)")
self.assertEqual(d1._sign, b1._sign)
self.assertEqual(d1._int, b1._int)
self.assertEqual(d1._exp, b1._exp)
self.assertEqual(d2._sign, b2._sign)
self.assertEqual(d2._int, b2._int)
self.assertEqual(d2._exp, b2._exp)
else:
eval("d1." + operation + "()")
self.assertEqual(d1._sign, b1._sign)
self.assertEqual(d1._int, b1._int)
self.assertEqual(d1._exp, b1._exp)
return
Decimal(d1)
self.assertEqual(d1._sign, b1._sign)
self.assertEqual(d1._int, b1._int)
self.assertEqual(d1._exp, b1._exp)
checkSameDec("__abs__")
checkSameDec("__add__", True)
checkSameDec("__div__", True)
checkSameDec("__divmod__", True)
checkSameDec("__eq__", True)
checkSameDec("__ne__", True)
checkSameDec("__le__", True)
checkSameDec("__lt__", True)
checkSameDec("__ge__", True)
checkSameDec("__gt__", True)
checkSameDec("__float__")
checkSameDec("__floordiv__", True)
checkSameDec("__hash__")
checkSameDec("__int__")
checkSameDec("__trunc__")
checkSameDec("__long__")
checkSameDec("__mod__", True)
checkSameDec("__mul__", True)
checkSameDec("__neg__")
checkSameDec("__nonzero__")
checkSameDec("__pos__")
checkSameDec("__pow__", True)
checkSameDec("__radd__", True)
checkSameDec("__rdiv__", True)
checkSameDec("__rdivmod__", True)
checkSameDec("__repr__")
checkSameDec("__rfloordiv__", True)
checkSameDec("__rmod__", True)
checkSameDec("__rmul__", True)
checkSameDec("__rpow__", True)
checkSameDec("__rsub__", True)
checkSameDec("__str__")
checkSameDec("__sub__", True)
checkSameDec("__truediv__", True)
checkSameDec("adjusted")
checkSameDec("as_tuple")
checkSameDec("compare", True)
checkSameDec("max", True)
checkSameDec("min", True)
checkSameDec("normalize")
checkSameDec("quantize", True)
checkSameDec("remainder_near", True)
checkSameDec("same_quantum", True)
checkSameDec("sqrt")
checkSameDec("to_eng_string")
checkSameDec("to_integral")
def test_subclassing(self):
# Different behaviours when subclassing Decimal
class MyDecimal(Decimal):
pass
d1 = MyDecimal(1)
d2 = MyDecimal(2)
d = d1 + d2
self.assertTrue(type(d) is Decimal)
d = d1.max(d2)
self.assertTrue(type(d) is Decimal)
def test_implicit_context(self):
# Check results when context given implicitly. (Issue 2478)
c = getcontext()
self.assertEqual(str(Decimal(0).sqrt()),
str(c.sqrt(Decimal(0))))
class DecimalPythonAPItests(unittest.TestCase):
def test_pickle(self):
d = Decimal('-3.141590000')
p = pickle.dumps(d)
e = pickle.loads(p)
self.assertEqual(d, e)
def test_int(self):
for x in range(-250, 250):
s = '%0.2f' % (x / 100.0)
# should work the same as for floats
self.assertEqual(int(Decimal(s)), int(float(s)))
# should work the same as to_integral in the ROUND_DOWN mode
d = Decimal(s)
r = d.to_integral(ROUND_DOWN)
self.assertEqual(Decimal(int(d)), r)
def test_trunc(self):
for x in range(-250, 250):
s = '%0.2f' % (x / 100.0)
# should work the same as for floats
self.assertEqual(int(Decimal(s)), int(float(s)))
# should work the same as to_integral in the ROUND_DOWN mode
d = Decimal(s)
r = d.to_integral(ROUND_DOWN)
self.assertEqual(Decimal(math.trunc(d)), r)
def test_from_float(self):
class MyDecimal(Decimal):
pass
r = MyDecimal.from_float(0.1)
self.assertEqual(type(r), MyDecimal)
self.assertEqual(str(r),
'0.1000000000000000055511151231257827021181583404541015625')
bigint = 12345678901234567890123456789
self.assertEqual(MyDecimal.from_float(bigint), MyDecimal(bigint))
self.assert_(MyDecimal.from_float(float('nan')).is_qnan())
self.assert_(MyDecimal.from_float(float('inf')).is_infinite())
self.assert_(MyDecimal.from_float(float('-inf')).is_infinite())
self.assertEqual(str(MyDecimal.from_float(float('nan'))),
str(Decimal('NaN')))
self.assertEqual(str(MyDecimal.from_float(float('inf'))),
str(Decimal('Infinity')))
self.assertEqual(str(MyDecimal.from_float(float('-inf'))),
str(Decimal('-Infinity')))
self.assertRaises(TypeError, MyDecimal.from_float, 'abc')
for i in range(200):
x = random.expovariate(0.01) * (random.random() * 2.0 - 1.0)
self.assertEqual(x, float(MyDecimal.from_float(x))) # roundtrip
def test_create_decimal_from_float(self):
context = Context(prec=5, rounding=ROUND_DOWN)
self.assertEqual(
context.create_decimal_from_float(math.pi),
Decimal('3.1415')
)
context = Context(prec=5, rounding=ROUND_UP)
self.assertEqual(
context.create_decimal_from_float(math.pi),
Decimal('3.1416')
)
context = Context(prec=5, traps=[Inexact])
self.assertRaises(
Inexact,
context.create_decimal_from_float,
math.pi
)
self.assertEqual(repr(context.create_decimal_from_float(-0.0)),
"Decimal('-0')")
self.assertEqual(repr(context.create_decimal_from_float(1.0)),
"Decimal('1')")
self.assertEqual(repr(context.create_decimal_from_float(10)),
"Decimal('10')")
class ContextAPItests(unittest.TestCase):
def test_pickle(self):
c = Context()
e = pickle.loads(pickle.dumps(c))
for k in vars(c):
v1 = vars(c)[k]
v2 = vars(e)[k]
self.assertEqual(v1, v2)
def test_equality_with_other_types(self):
self.assert_(Decimal(10) in ['a', 1.0, Decimal(10), (1,2), {}])
self.assert_(Decimal(10) not in ['a', 1.0, (1,2), {}])
def test_copy(self):
# All copies should be deep
c = Context()
d = c.copy()
self.assertNotEqual(id(c), id(d))
self.assertNotEqual(id(c.flags), id(d.flags))
self.assertNotEqual(id(c.traps), id(d.traps))
class WithStatementTest(unittest.TestCase):
# Can't do these as docstrings until Python 2.6
# as doctest can't handle __future__ statements
def test_localcontext(self):
# Use a copy of the current context in the block
orig_ctx = getcontext()
with localcontext() as enter_ctx:
set_ctx = getcontext()
final_ctx = getcontext()
self.assert_(orig_ctx is final_ctx, 'did not restore context correctly')
self.assert_(orig_ctx is not set_ctx, 'did not copy the context')
self.assert_(set_ctx is enter_ctx, '__enter__ returned wrong context')
def test_localcontextarg(self):
# Use a copy of the supplied context in the block
orig_ctx = getcontext()
new_ctx = Context(prec=42)
with localcontext(new_ctx) as enter_ctx:
set_ctx = getcontext()
final_ctx = getcontext()
self.assert_(orig_ctx is final_ctx, 'did not restore context correctly')
self.assert_(set_ctx.prec == new_ctx.prec, 'did not set correct context')
self.assert_(new_ctx is not set_ctx, 'did not copy the context')
self.assert_(set_ctx is enter_ctx, '__enter__ returned wrong context')
class ContextFlags(unittest.TestCase):
def test_flags_irrelevant(self):
# check that the result (numeric result + flags raised) of an
# arithmetic operation doesn't depend on the current flags
context = Context(prec=9, Emin = -999999999, Emax = 999999999,
rounding=ROUND_HALF_EVEN, traps=[], flags=[])
# operations that raise various flags, in the form (function, arglist)
operations = [
(context._apply, [Decimal("100E-1000000009")]),
(context.sqrt, [Decimal(2)]),
(context.add, [Decimal("1.23456789"), Decimal("9.87654321")]),
(context.multiply, [Decimal("1.23456789"), Decimal("9.87654321")]),
(context.subtract, [Decimal("1.23456789"), Decimal("9.87654321")]),
]
# try various flags individually, then a whole lot at once
flagsets = [[Inexact], [Rounded], [Underflow], [Clamped], [Subnormal],
[Inexact, Rounded, Underflow, Clamped, Subnormal]]
for fn, args in operations:
# find answer and flags raised using a clean context
context.clear_flags()
ans = fn(*args)
flags = [k for k, v in context.flags.items() if v]
for extra_flags in flagsets:
# set flags, before calling operation
context.clear_flags()
for flag in extra_flags:
context._raise_error(flag)
new_ans = fn(*args)
# flags that we expect to be set after the operation
expected_flags = list(flags)
for flag in extra_flags:
if flag not in expected_flags:
expected_flags.append(flag)
expected_flags.sort()
# flags we actually got
new_flags = [k for k,v in context.flags.items() if v]
new_flags.sort()
self.assertEqual(ans, new_ans,
"operation produces different answers depending on flags set: " +
"expected %s, got %s." % (ans, new_ans))
self.assertEqual(new_flags, expected_flags,
"operation raises different flags depending on flags set: " +
"expected %s, got %s" % (expected_flags, new_flags))
def test_main(arith=False, verbose=None, todo_tests=None, debug=None):
""" Execute the tests.
Runs all arithmetic tests if arith is True or if the "decimal" resource
is enabled in regrtest.py
"""
init()
global TEST_ALL, DEBUG
TEST_ALL = arith or is_resource_enabled('decimal')
DEBUG = debug
if todo_tests is None:
test_classes = [
DecimalExplicitConstructionTest,
DecimalImplicitConstructionTest,
DecimalArithmeticOperatorsTest,
DecimalFormatTest,
DecimalUseOfContextTest,
DecimalUsabilityTest,
DecimalPythonAPItests,
ContextAPItests,
DecimalTest,
WithStatementTest,
ContextFlags
]
else:
test_classes = [DecimalTest]
# Dynamically build custom test definition for each file in the test
# directory and add the definitions to the DecimalTest class. This
# procedure insures that new files do not get skipped.
for filename in os.listdir(directory):
if '.decTest' not in filename or filename.startswith("."):
continue
head, tail = filename.split('.')
if todo_tests is not None and head not in todo_tests:
continue
tester = lambda self, f=filename: self.eval_file(directory + f)
setattr(DecimalTest, 'test_' + head, tester)
del filename, head, tail, tester
try:
run_unittest(*test_classes)
if todo_tests is None:
import decimal as DecimalModule
run_doctest(DecimalModule, verbose)
finally:
setcontext(ORIGINAL_CONTEXT)
if __name__ == '__main__':
import optparse
p = optparse.OptionParser("test_decimal.py [--debug] [{--skip | test1 [test2 [...]]}]")
p.add_option('--debug', '-d', action='store_true', help='shows the test number and context before each test')
p.add_option('--skip', '-s', action='store_true', help='skip over 90% of the arithmetic tests')
(opt, args) = p.parse_args()
if opt.skip:
test_main(arith=False, verbose=True)
elif args:
test_main(arith=True, verbose=True, todo_tests=args, debug=opt.debug)
else:
test_main(arith=True, verbose=True)
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