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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 math
+import os, sys
+import operator
+import pickle, copy
+import unittest
+from decimal import *
+import numbers
+from test.test_support import (run_unittest, run_doctest,
+ is_resource_enabled, check_py3k_warnings)
+import random
+try:
+ import threading
+except ImportError:
+ threading = None
+
+# Useful Test Constant
+Signals = tuple(getcontext().flags.keys())
+
+# Signals ordered with respect to precedence: when an operation
+# produces multiple signals, signals occurring later in the list
+# should be handled before those occurring earlier in the list.
+OrderedSignals = (Clamped, Rounded, Inexact, Subnormal,
+ Underflow, Overflow, DivisionByZero, InvalidOperation)
+
+# 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)
+
+# decorator for skipping tests on non-IEEE 754 platforms
+requires_IEEE_754 = unittest.skipUnless(
+ float.__getformat__("double").startswith("IEEE"),
+ "test requires IEEE 754 doubles")
+
+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)
+
+# list of individual .decTest test ids that correspond to tests that
+# we're skipping for one reason or another.
+skipped_test_ids = set([
+ # Skip implementation-specific scaleb tests.
+ 'scbx164',
+ 'scbx165',
+
+ # 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.
+ 'expx901',
+ 'expx902',
+ 'expx903',
+ 'expx905',
+ 'lnx901',
+ 'lnx902',
+ 'lnx903',
+ 'lnx905',
+ 'logx901',
+ 'logx902',
+ 'logx903',
+ 'logx905',
+ 'powx1183',
+ 'powx1184',
+ 'powx4001',
+ 'powx4002',
+ 'powx4003',
+ 'powx4005',
+ 'powx4008',
+ 'powx4010',
+ 'powx4012',
+ 'powx4014',
+ ])
+
+# 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',
+ )
+
+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 unittest.SkipTest
+ return
+ with open(file) as f:
+ for line in f:
+ line = line.replace('\r\n', '').replace('\n', '')
+ #print line
+ try:
+ t = self.eval_line(line)
+ except DecimalException as exception:
+ #Exception raised where there shouldn'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
+
+ if id in skipped_test_ids:
+ return
+
+ 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)
+
+ 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
+
+ # as above, but add traps cumulatively, to check precedence
+ ordered_errors = [e for e in OrderedSignals if e in theirexceptions]
+ for error in ordered_errors:
+ self.context.traps[error] = 1
+ try:
+ funct(*vals)
+ except error:
+ pass
+ except Signals, e:
+ self.fail("Raised %s in %s; expected %s" %
+ (type(e), s, error))
+ else:
+ self.fail("Did not raise %s in %s" % (error, s))
+ # reset traps
+ for error in ordered_errors:
+ 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()
+
+ self.assertEqual(result, ans,
+ 'Incorrect answer for ' + s + ' -- got ' + result)
+ self.assertItemsEqual(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')
+
+ 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_bool(self):
+ self.assertIs(bool(Decimal(0)), False)
+ self.assertIs(bool(Decimal(1)), True)
+ self.assertEqual(Decimal(False), Decimal(0))
+ self.assertEqual(Decimal(True), Decimal(1))
+
+ 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))
+
+ @requires_IEEE_754
+ def test_explicit_from_float(self):
+ r = Decimal(0.1)
+ self.assertEqual(type(r), Decimal)
+ self.assertEqual(str(r),
+ '0.1000000000000000055511151231257827021181583404541015625')
+ self.assertTrue(Decimal(float('nan')).is_qnan())
+ self.assertTrue(Decimal(float('inf')).is_infinite())
+ self.assertTrue(Decimal(float('-inf')).is_infinite())
+ self.assertEqual(str(Decimal(float('nan'))),
+ str(Decimal('NaN')))
+ self.assertEqual(str(Decimal(float('inf'))),
+ str(Decimal('Infinity')))
+ self.assertEqual(str(Decimal(float('-inf'))),
+ str(Decimal('-Infinity')))
+ self.assertEqual(str(Decimal(float('-0.0'))),
+ str(Decimal('-0')))
+ for i in range(200):
+ x = random.expovariate(0.01) * (random.random() * 2.0 - 1.0)
+ self.assertEqual(x, float(Decimal(x))) # roundtrip
+
+ 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.assertIsInstance(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')
+
+ def test_unicode_digits(self):
+ test_values = {
+ u'\uff11': '1',
+ u'\u0660.\u0660\u0663\u0667\u0662e-\u0663' : '0.0000372',
+ u'-nan\u0c68\u0c6a\u0c66\u0c66' : '-NaN2400',
+ }
+ for input, expected in test_values.items():
+ self.assertEqual(str(Decimal(input)), expected)
+
+
+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__')
+ ]
+ with check_py3k_warnings():
+ 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'),
+
+ # test alignment and padding
+ ('6', '123', ' 123'),
+ ('<6', '123', '123 '),
+ ('>6', '123', ' 123'),
+ ('^6', '123', ' 123 '),
+ ('=+6', '123', '+ 123'),
+ ('#<10', 'NaN', 'NaN#######'),
+ ('#<10', '-4.3', '-4.3######'),
+ ('#<+10', '0.0130', '+0.0130###'),
+ ('#< 10', '0.0130', ' 0.0130###'),
+ ('@>10', '-Inf', '@-Infinity'),
+ ('#>5', '-Inf', '-Infinity'),
+ ('?^5', '123', '?123?'),
+ ('%^6', '123', '%123%%'),
+ (' ^6', '-45.6', '-45.6 '),
+ ('/=10', '-45.6', '-/////45.6'),
+ ('/=+10', '45.6', '+/////45.6'),
+ ('/= 10', '45.6', ' /////45.6'),
+
+ # thousands separator
+ (',', '1234567', '1,234,567'),
+ (',', '123456', '123,456'),
+ (',', '12345', '12,345'),
+ (',', '1234', '1,234'),
+ (',', '123', '123'),
+ (',', '12', '12'),
+ (',', '1', '1'),
+ (',', '0', '0'),
+ (',', '-1234567', '-1,234,567'),
+ (',', '-123456', '-123,456'),
+ ('7,', '123456', '123,456'),
+ ('8,', '123456', ' 123,456'),
+ ('08,', '123456', '0,123,456'), # special case: extra 0 needed
+ ('+08,', '123456', '+123,456'), # but not if there's a sign
+ (' 08,', '123456', ' 123,456'),
+ ('08,', '-123456', '-123,456'),
+ ('+09,', '123456', '+0,123,456'),
+ # ... with fractional part...
+ ('07,', '1234.56', '1,234.56'),
+ ('08,', '1234.56', '1,234.56'),
+ ('09,', '1234.56', '01,234.56'),
+ ('010,', '1234.56', '001,234.56'),
+ ('011,', '1234.56', '0,001,234.56'),
+ ('012,', '1234.56', '0,001,234.56'),
+ ('08,.1f', '1234.5', '01,234.5'),
+ # no thousands separators in fraction part
+ (',', '1.23456789', '1.23456789'),
+ (',%', '123.456789', '12,345.6789%'),
+ (',e', '123456', '1.23456e+5'),
+ (',E', '123456', '1.23456E+5'),
+
+ # issue 6850
+ ('a=-7.0', '0.12345', 'aaaa0.1'),
+ ]
+ for fmt, d, result in test_values:
+ self.assertEqual(format(Decimal(d), fmt), result)
+
+ def test_n_format(self):
+ try:
+ from locale import CHAR_MAX
+ except ImportError:
+ return
+
+ # Set up some localeconv-like dictionaries
+ en_US = {
+ 'decimal_point' : '.',
+ 'grouping' : [3, 3, 0],
+ 'thousands_sep': ','
+ }
+
+ fr_FR = {
+ 'decimal_point' : ',',
+ 'grouping' : [CHAR_MAX],
+ 'thousands_sep' : ''
+ }
+
+ ru_RU = {
+ 'decimal_point' : ',',
+ 'grouping' : [3, 3, 0],
+ 'thousands_sep' : ' '
+ }
+
+ crazy = {
+ 'decimal_point' : '&',
+ 'grouping' : [1, 4, 2, CHAR_MAX],
+ 'thousands_sep' : '-'
+ }
+
+
+ def get_fmt(x, locale, fmt='n'):
+ return Decimal.__format__(Decimal(x), fmt, _localeconv=locale)
+
+ self.assertEqual(get_fmt(Decimal('12.7'), en_US), '12.7')
+ self.assertEqual(get_fmt(Decimal('12.7'), fr_FR), '12,7')
+ self.assertEqual(get_fmt(Decimal('12.7'), ru_RU), '12,7')
+ self.assertEqual(get_fmt(Decimal('12.7'), crazy), '1-2&7')
+
+ self.assertEqual(get_fmt(123456789, en_US), '123,456,789')
+ self.assertEqual(get_fmt(123456789, fr_FR), '123456789')
+ self.assertEqual(get_fmt(123456789, ru_RU), '123 456 789')
+ self.assertEqual(get_fmt(1234567890123, crazy), '123456-78-9012-3')
+
+ self.assertEqual(get_fmt(123456789, en_US, '.6n'), '1.23457e+8')
+ self.assertEqual(get_fmt(123456789, fr_FR, '.6n'), '1,23457e+8')
+ self.assertEqual(get_fmt(123456789, ru_RU, '.6n'), '1,23457e+8')
+ self.assertEqual(get_fmt(123456789, crazy, '.6n'), '1&23457e+8')
+
+ # zero padding
+ self.assertEqual(get_fmt(1234, fr_FR, '03n'), '1234')
+ self.assertEqual(get_fmt(1234, fr_FR, '04n'), '1234')
+ self.assertEqual(get_fmt(1234, fr_FR, '05n'), '01234')
+ self.assertEqual(get_fmt(1234, fr_FR, '06n'), '001234')
+
+ self.assertEqual(get_fmt(12345, en_US, '05n'), '12,345')
+ self.assertEqual(get_fmt(12345, en_US, '06n'), '12,345')
+ self.assertEqual(get_fmt(12345, en_US, '07n'), '012,345')
+ self.assertEqual(get_fmt(12345, en_US, '08n'), '0,012,345')
+ self.assertEqual(get_fmt(12345, en_US, '09n'), '0,012,345')
+ self.assertEqual(get_fmt(12345, en_US, '010n'), '00,012,345')
+
+ self.assertEqual(get_fmt(123456, crazy, '06n'), '1-2345-6')
+ self.assertEqual(get_fmt(123456, crazy, '07n'), '1-2345-6')
+ self.assertEqual(get_fmt(123456, crazy, '08n'), '1-2345-6')
+ self.assertEqual(get_fmt(123456, crazy, '09n'), '01-2345-6')
+ self.assertEqual(get_fmt(123456, crazy, '010n'), '0-01-2345-6')
+ self.assertEqual(get_fmt(123456, crazy, '011n'), '0-01-2345-6')
+ self.assertEqual(get_fmt(123456, crazy, '012n'), '00-01-2345-6')
+ self.assertEqual(get_fmt(123456, crazy, '013n'), '000-01-2345-6')
+
+
+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):
+ # comparisons involving signaling nans signal InvalidOperation
+
+ # order comparisons (<, <=, >, >=) involving only quiet nans
+ # also signal InvalidOperation
+
+ # equality comparisons (==, !=) involving only quiet nans
+ # don't signal, but return False or True respectively.
+
+ n = Decimal('NaN')
+ s = Decimal('sNaN')
+ i = Decimal('Inf')
+ f = Decimal('2')
+
+ qnan_pairs = (n, n), (n, i), (i, n), (n, f), (f, n)
+ snan_pairs = (s, n), (n, s), (s, i), (i, s), (s, f), (f, s), (s, s)
+ order_ops = operator.lt, operator.le, operator.gt, operator.ge
+ equality_ops = operator.eq, operator.ne
+
+ # results when InvalidOperation is not trapped
+ for x, y in qnan_pairs + snan_pairs:
+ for op in order_ops + equality_ops:
+ got = op(x, y)
+ expected = True if op is operator.ne else False
+ self.assertIs(expected, got,
+ "expected {0!r} for operator.{1}({2!r}, {3!r}); "
+ "got {4!r}".format(
+ expected, op.__name__, x, y, got))
+
+ # repeat the above, but this time trap the InvalidOperation
+ with localcontext() as ctx:
+ ctx.traps[InvalidOperation] = 1
+
+ for x, y in qnan_pairs:
+ for op in equality_ops:
+ got = op(x, y)
+ expected = True if op is operator.ne else False
+ self.assertIs(expected, got,
+ "expected {0!r} for "
+ "operator.{1}({2!r}, {3!r}); "
+ "got {4!r}".format(
+ expected, op.__name__, x, y, got))
+
+ for x, y in snan_pairs:
+ for op in equality_ops:
+ self.assertRaises(InvalidOperation, operator.eq, x, y)
+ self.assertRaises(InvalidOperation, operator.ne, x, y)
+
+ for x, y in qnan_pairs + snan_pairs:
+ for op in order_ops:
+ self.assertRaises(InvalidOperation, op, x, y)
+
+ def test_copy_sign(self):
+ d = Decimal(1).copy_sign(Decimal(-2))
+
+ self.assertEqual(Decimal(1).copy_sign(-2), d)
+ self.assertRaises(TypeError, Decimal(1).copy_sign, '-2')
+
+# 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.assertGreater(dc, da)
+ self.assertGreaterEqual(dc, da)
+ self.assertLess(da, dc)
+ self.assertLessEqual(da, dc)
+ self.assertEqual(da, db)
+ self.assertNotEqual(da, dc)
+ self.assertLessEqual(da, db)
+ self.assertGreaterEqual(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.assertGreater(dc, 23)
+ self.assertLess(23, dc)
+ self.assertEqual(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
+ with check_py3k_warnings():
+ self.assertFalse(Decimal(1) < None)
+ self.assertTrue(Decimal(1) > None)
+
+ def test_decimal_float_comparison(self):
+ da = Decimal('0.25')
+ db = Decimal('3.0')
+ self.assertLess(da, 3.0)
+ self.assertLessEqual(da, 3.0)
+ self.assertGreater(db, 0.25)
+ self.assertGreaterEqual(db, 0.25)
+ self.assertNotEqual(da, 1.5)
+ self.assertEqual(da, 0.25)
+ self.assertGreater(3.0, da)
+ self.assertGreaterEqual(3.0, da)
+ self.assertLess(0.25, db)
+ self.assertLessEqual(0.25, db)
+ self.assertNotEqual(0.25, db)
+ self.assertEqual(3.0, db)
+ self.assertNotEqual(0.1, Decimal('0.1'))
+
+ 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))
+ hash(Decimal('Infinity'))
+ hash(Decimal('-Infinity'))
+ hash(Decimal('nan123'))
+ hash(Decimal('-NaN'))
+
+ 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('sNaN'))
+ self.assertTrue(hash(Decimal('Inf')))
+ self.assertTrue(hash(Decimal('-Inf')))
+
+ # check that the hashes of a Decimal float match when they
+ # represent exactly the same values
+ test_strings = ['inf', '-Inf', '0.0', '-.0e1',
+ '34.0', '2.5', '112390.625', '-0.515625']
+ for s in test_strings:
+ f = float(s)
+ d = Decimal(s)
+ self.assertEqual(hash(f), hash(d))
+
+ # 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.assertIs(min(d1,d2), d1)
+ self.assertIs(min(d2,d1), d1)
+ self.assertIs(max(d1,d2), d2)
+ self.assertIs(max(d2,d1), d2)
+
+ #between Decimal and long
+ self.assertIs(min(d1,l2), d1)
+ self.assertIs(min(l2,d1), d1)
+ self.assertIs(max(l1,d2), d2)
+ self.assertIs(max(d2,l1), d2)
+
+ def test_as_nonzero(self):
+ #as false
+ self.assertFalse(Decimal(0))
+ #as true
+ self.assertTrue(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_nan_to_float(self):
+ # Test conversions of decimal NANs to float.
+ # See http://bugs.python.org/issue15544
+ for s in ('nan', 'nan1234', '-nan', '-nan2468'):
+ f = float(Decimal(s))
+ self.assertTrue(math.isnan(f))
+
+ def test_snan_to_float(self):
+ for s in ('snan', '-snan', 'snan1357', '-snan1234'):
+ d = Decimal(s)
+ self.assertRaises(ValueError, float, d)
+
+ 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.assertIs(type(d), Decimal)
+
+ d = d1.max(d2)
+ self.assertIs(type(d), 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))))
+
+ def test_conversions_from_int(self):
+ # Check that methods taking a second Decimal argument will
+ # always accept an integer in place of a Decimal.
+ self.assertEqual(Decimal(4).compare(3),
+ Decimal(4).compare(Decimal(3)))
+ self.assertEqual(Decimal(4).compare_signal(3),
+ Decimal(4).compare_signal(Decimal(3)))
+ self.assertEqual(Decimal(4).compare_total(3),
+ Decimal(4).compare_total(Decimal(3)))
+ self.assertEqual(Decimal(4).compare_total_mag(3),
+ Decimal(4).compare_total_mag(Decimal(3)))
+ self.assertEqual(Decimal(10101).logical_and(1001),
+ Decimal(10101).logical_and(Decimal(1001)))
+ self.assertEqual(Decimal(10101).logical_or(1001),
+ Decimal(10101).logical_or(Decimal(1001)))
+ self.assertEqual(Decimal(10101).logical_xor(1001),
+ Decimal(10101).logical_xor(Decimal(1001)))
+ self.assertEqual(Decimal(567).max(123),
+ Decimal(567).max(Decimal(123)))
+ self.assertEqual(Decimal(567).max_mag(123),
+ Decimal(567).max_mag(Decimal(123)))
+ self.assertEqual(Decimal(567).min(123),
+ Decimal(567).min(Decimal(123)))
+ self.assertEqual(Decimal(567).min_mag(123),
+ Decimal(567).min_mag(Decimal(123)))
+ self.assertEqual(Decimal(567).next_toward(123),
+ Decimal(567).next_toward(Decimal(123)))
+ self.assertEqual(Decimal(1234).quantize(100),
+ Decimal(1234).quantize(Decimal(100)))
+ self.assertEqual(Decimal(768).remainder_near(1234),
+ Decimal(768).remainder_near(Decimal(1234)))
+ self.assertEqual(Decimal(123).rotate(1),
+ Decimal(123).rotate(Decimal(1)))
+ self.assertEqual(Decimal(1234).same_quantum(1000),
+ Decimal(1234).same_quantum(Decimal(1000)))
+ self.assertEqual(Decimal('9.123').scaleb(-100),
+ Decimal('9.123').scaleb(Decimal(-100)))
+ self.assertEqual(Decimal(456).shift(-1),
+ Decimal(456).shift(Decimal(-1)))
+
+ self.assertEqual(Decimal(-12).fma(Decimal(45), 67),
+ Decimal(-12).fma(Decimal(45), Decimal(67)))
+ self.assertEqual(Decimal(-12).fma(45, 67),
+ Decimal(-12).fma(Decimal(45), Decimal(67)))
+ self.assertEqual(Decimal(-12).fma(45, Decimal(67)),
+ Decimal(-12).fma(Decimal(45), Decimal(67)))
+
+
+class DecimalPythonAPItests(unittest.TestCase):
+
+ def test_abc(self):
+ self.assertTrue(issubclass(Decimal, numbers.Number))
+ self.assertFalse(issubclass(Decimal, numbers.Real))
+ self.assertIsInstance(Decimal(0), numbers.Number)
+ self.assertNotIsInstance(Decimal(0), numbers.Real)
+
+ 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)
+
+ self.assertRaises(ValueError, int, Decimal('-nan'))
+ self.assertRaises(ValueError, int, Decimal('snan'))
+ self.assertRaises(OverflowError, int, Decimal('inf'))
+ self.assertRaises(OverflowError, int, Decimal('-inf'))
+
+ self.assertRaises(ValueError, long, Decimal('-nan'))
+ self.assertRaises(ValueError, long, Decimal('snan'))
+ self.assertRaises(OverflowError, long, Decimal('inf'))
+ self.assertRaises(OverflowError, long, Decimal('-inf'))
+
+ 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.assertTrue(MyDecimal.from_float(float('nan')).is_qnan())
+ self.assertTrue(MyDecimal.from_float(float('inf')).is_infinite())
+ self.assertTrue(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.assertIn(Decimal(10), ['a', 1.0, Decimal(10), (1,2), {}])
+ self.assertNotIn(Decimal(10), ['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))
+
+ def test_abs(self):
+ c = Context()
+ d = c.abs(Decimal(-1))
+ self.assertEqual(c.abs(-1), d)
+ self.assertRaises(TypeError, c.abs, '-1')
+
+ def test_add(self):
+ c = Context()
+ d = c.add(Decimal(1), Decimal(1))
+ self.assertEqual(c.add(1, 1), d)
+ self.assertEqual(c.add(Decimal(1), 1), d)
+ self.assertEqual(c.add(1, Decimal(1)), d)
+ self.assertRaises(TypeError, c.add, '1', 1)
+ self.assertRaises(TypeError, c.add, 1, '1')
+
+ def test_compare(self):
+ c = Context()
+ d = c.compare(Decimal(1), Decimal(1))
+ self.assertEqual(c.compare(1, 1), d)
+ self.assertEqual(c.compare(Decimal(1), 1), d)
+ self.assertEqual(c.compare(1, Decimal(1)), d)
+ self.assertRaises(TypeError, c.compare, '1', 1)
+ self.assertRaises(TypeError, c.compare, 1, '1')
+
+ def test_compare_signal(self):
+ c = Context()
+ d = c.compare_signal(Decimal(1), Decimal(1))
+ self.assertEqual(c.compare_signal(1, 1), d)
+ self.assertEqual(c.compare_signal(Decimal(1), 1), d)
+ self.assertEqual(c.compare_signal(1, Decimal(1)), d)
+ self.assertRaises(TypeError, c.compare_signal, '1', 1)
+ self.assertRaises(TypeError, c.compare_signal, 1, '1')
+
+ def test_compare_total(self):
+ c = Context()
+ d = c.compare_total(Decimal(1), Decimal(1))
+ self.assertEqual(c.compare_total(1, 1), d)
+ self.assertEqual(c.compare_total(Decimal(1), 1), d)
+ self.assertEqual(c.compare_total(1, Decimal(1)), d)
+ self.assertRaises(TypeError, c.compare_total, '1', 1)
+ self.assertRaises(TypeError, c.compare_total, 1, '1')
+
+ def test_compare_total_mag(self):
+ c = Context()
+ d = c.compare_total_mag(Decimal(1), Decimal(1))
+ self.assertEqual(c.compare_total_mag(1, 1), d)
+ self.assertEqual(c.compare_total_mag(Decimal(1), 1), d)
+ self.assertEqual(c.compare_total_mag(1, Decimal(1)), d)
+ self.assertRaises(TypeError, c.compare_total_mag, '1', 1)
+ self.assertRaises(TypeError, c.compare_total_mag, 1, '1')
+
+ def test_copy_abs(self):
+ c = Context()
+ d = c.copy_abs(Decimal(-1))
+ self.assertEqual(c.copy_abs(-1), d)
+ self.assertRaises(TypeError, c.copy_abs, '-1')
+
+ def test_copy_decimal(self):
+ c = Context()
+ d = c.copy_decimal(Decimal(-1))
+ self.assertEqual(c.copy_decimal(-1), d)
+ self.assertRaises(TypeError, c.copy_decimal, '-1')
+
+ def test_copy_negate(self):
+ c = Context()
+ d = c.copy_negate(Decimal(-1))
+ self.assertEqual(c.copy_negate(-1), d)
+ self.assertRaises(TypeError, c.copy_negate, '-1')
+
+ def test_copy_sign(self):
+ c = Context()
+ d = c.copy_sign(Decimal(1), Decimal(-2))
+ self.assertEqual(c.copy_sign(1, -2), d)
+ self.assertEqual(c.copy_sign(Decimal(1), -2), d)
+ self.assertEqual(c.copy_sign(1, Decimal(-2)), d)
+ self.assertRaises(TypeError, c.copy_sign, '1', -2)
+ self.assertRaises(TypeError, c.copy_sign, 1, '-2')
+
+ def test_divide(self):
+ c = Context()
+ d = c.divide(Decimal(1), Decimal(2))
+ self.assertEqual(c.divide(1, 2), d)
+ self.assertEqual(c.divide(Decimal(1), 2), d)
+ self.assertEqual(c.divide(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.divide, '1', 2)
+ self.assertRaises(TypeError, c.divide, 1, '2')
+
+ def test_divide_int(self):
+ c = Context()
+ d = c.divide_int(Decimal(1), Decimal(2))
+ self.assertEqual(c.divide_int(1, 2), d)
+ self.assertEqual(c.divide_int(Decimal(1), 2), d)
+ self.assertEqual(c.divide_int(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.divide_int, '1', 2)
+ self.assertRaises(TypeError, c.divide_int, 1, '2')
+
+ def test_divmod(self):
+ c = Context()
+ d = c.divmod(Decimal(1), Decimal(2))
+ self.assertEqual(c.divmod(1, 2), d)
+ self.assertEqual(c.divmod(Decimal(1), 2), d)
+ self.assertEqual(c.divmod(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.divmod, '1', 2)
+ self.assertRaises(TypeError, c.divmod, 1, '2')
+
+ def test_exp(self):
+ c = Context()
+ d = c.exp(Decimal(10))
+ self.assertEqual(c.exp(10), d)
+ self.assertRaises(TypeError, c.exp, '10')
+
+ def test_fma(self):
+ c = Context()
+ d = c.fma(Decimal(2), Decimal(3), Decimal(4))
+ self.assertEqual(c.fma(2, 3, 4), d)
+ self.assertEqual(c.fma(Decimal(2), 3, 4), d)
+ self.assertEqual(c.fma(2, Decimal(3), 4), d)
+ self.assertEqual(c.fma(2, 3, Decimal(4)), d)
+ self.assertEqual(c.fma(Decimal(2), Decimal(3), 4), d)
+ self.assertRaises(TypeError, c.fma, '2', 3, 4)
+ self.assertRaises(TypeError, c.fma, 2, '3', 4)
+ self.assertRaises(TypeError, c.fma, 2, 3, '4')
+
+ def test_is_finite(self):
+ c = Context()
+ d = c.is_finite(Decimal(10))
+ self.assertEqual(c.is_finite(10), d)
+ self.assertRaises(TypeError, c.is_finite, '10')
+
+ def test_is_infinite(self):
+ c = Context()
+ d = c.is_infinite(Decimal(10))
+ self.assertEqual(c.is_infinite(10), d)
+ self.assertRaises(TypeError, c.is_infinite, '10')
+
+ def test_is_nan(self):
+ c = Context()
+ d = c.is_nan(Decimal(10))
+ self.assertEqual(c.is_nan(10), d)
+ self.assertRaises(TypeError, c.is_nan, '10')
+
+ def test_is_normal(self):
+ c = Context()
+ d = c.is_normal(Decimal(10))
+ self.assertEqual(c.is_normal(10), d)
+ self.assertRaises(TypeError, c.is_normal, '10')
+
+ def test_is_qnan(self):
+ c = Context()
+ d = c.is_qnan(Decimal(10))
+ self.assertEqual(c.is_qnan(10), d)
+ self.assertRaises(TypeError, c.is_qnan, '10')
+
+ def test_is_signed(self):
+ c = Context()
+ d = c.is_signed(Decimal(10))
+ self.assertEqual(c.is_signed(10), d)
+ self.assertRaises(TypeError, c.is_signed, '10')
+
+ def test_is_snan(self):
+ c = Context()
+ d = c.is_snan(Decimal(10))
+ self.assertEqual(c.is_snan(10), d)
+ self.assertRaises(TypeError, c.is_snan, '10')
+
+ def test_is_subnormal(self):
+ c = Context()
+ d = c.is_subnormal(Decimal(10))
+ self.assertEqual(c.is_subnormal(10), d)
+ self.assertRaises(TypeError, c.is_subnormal, '10')
+
+ def test_is_zero(self):
+ c = Context()
+ d = c.is_zero(Decimal(10))
+ self.assertEqual(c.is_zero(10), d)
+ self.assertRaises(TypeError, c.is_zero, '10')
+
+ def test_ln(self):
+ c = Context()
+ d = c.ln(Decimal(10))
+ self.assertEqual(c.ln(10), d)
+ self.assertRaises(TypeError, c.ln, '10')
+
+ def test_log10(self):
+ c = Context()
+ d = c.log10(Decimal(10))
+ self.assertEqual(c.log10(10), d)
+ self.assertRaises(TypeError, c.log10, '10')
+
+ def test_logb(self):
+ c = Context()
+ d = c.logb(Decimal(10))
+ self.assertEqual(c.logb(10), d)
+ self.assertRaises(TypeError, c.logb, '10')
+
+ def test_logical_and(self):
+ c = Context()
+ d = c.logical_and(Decimal(1), Decimal(1))
+ self.assertEqual(c.logical_and(1, 1), d)
+ self.assertEqual(c.logical_and(Decimal(1), 1), d)
+ self.assertEqual(c.logical_and(1, Decimal(1)), d)
+ self.assertRaises(TypeError, c.logical_and, '1', 1)
+ self.assertRaises(TypeError, c.logical_and, 1, '1')
+
+ def test_logical_invert(self):
+ c = Context()
+ d = c.logical_invert(Decimal(1000))
+ self.assertEqual(c.logical_invert(1000), d)
+ self.assertRaises(TypeError, c.logical_invert, '1000')
+
+ def test_logical_or(self):
+ c = Context()
+ d = c.logical_or(Decimal(1), Decimal(1))
+ self.assertEqual(c.logical_or(1, 1), d)
+ self.assertEqual(c.logical_or(Decimal(1), 1), d)
+ self.assertEqual(c.logical_or(1, Decimal(1)), d)
+ self.assertRaises(TypeError, c.logical_or, '1', 1)
+ self.assertRaises(TypeError, c.logical_or, 1, '1')
+
+ def test_logical_xor(self):
+ c = Context()
+ d = c.logical_xor(Decimal(1), Decimal(1))
+ self.assertEqual(c.logical_xor(1, 1), d)
+ self.assertEqual(c.logical_xor(Decimal(1), 1), d)
+ self.assertEqual(c.logical_xor(1, Decimal(1)), d)
+ self.assertRaises(TypeError, c.logical_xor, '1', 1)
+ self.assertRaises(TypeError, c.logical_xor, 1, '1')
+
+ def test_max(self):
+ c = Context()
+ d = c.max(Decimal(1), Decimal(2))
+ self.assertEqual(c.max(1, 2), d)
+ self.assertEqual(c.max(Decimal(1), 2), d)
+ self.assertEqual(c.max(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.max, '1', 2)
+ self.assertRaises(TypeError, c.max, 1, '2')
+
+ def test_max_mag(self):
+ c = Context()
+ d = c.max_mag(Decimal(1), Decimal(2))
+ self.assertEqual(c.max_mag(1, 2), d)
+ self.assertEqual(c.max_mag(Decimal(1), 2), d)
+ self.assertEqual(c.max_mag(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.max_mag, '1', 2)
+ self.assertRaises(TypeError, c.max_mag, 1, '2')
+
+ def test_min(self):
+ c = Context()
+ d = c.min(Decimal(1), Decimal(2))
+ self.assertEqual(c.min(1, 2), d)
+ self.assertEqual(c.min(Decimal(1), 2), d)
+ self.assertEqual(c.min(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.min, '1', 2)
+ self.assertRaises(TypeError, c.min, 1, '2')
+
+ def test_min_mag(self):
+ c = Context()
+ d = c.min_mag(Decimal(1), Decimal(2))
+ self.assertEqual(c.min_mag(1, 2), d)
+ self.assertEqual(c.min_mag(Decimal(1), 2), d)
+ self.assertEqual(c.min_mag(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.min_mag, '1', 2)
+ self.assertRaises(TypeError, c.min_mag, 1, '2')
+
+ def test_minus(self):
+ c = Context()
+ d = c.minus(Decimal(10))
+ self.assertEqual(c.minus(10), d)
+ self.assertRaises(TypeError, c.minus, '10')
+
+ def test_multiply(self):
+ c = Context()
+ d = c.multiply(Decimal(1), Decimal(2))
+ self.assertEqual(c.multiply(1, 2), d)
+ self.assertEqual(c.multiply(Decimal(1), 2), d)
+ self.assertEqual(c.multiply(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.multiply, '1', 2)
+ self.assertRaises(TypeError, c.multiply, 1, '2')
+
+ def test_next_minus(self):
+ c = Context()
+ d = c.next_minus(Decimal(10))
+ self.assertEqual(c.next_minus(10), d)
+ self.assertRaises(TypeError, c.next_minus, '10')
+
+ def test_next_plus(self):
+ c = Context()
+ d = c.next_plus(Decimal(10))
+ self.assertEqual(c.next_plus(10), d)
+ self.assertRaises(TypeError, c.next_plus, '10')
+
+ def test_next_toward(self):
+ c = Context()
+ d = c.next_toward(Decimal(1), Decimal(2))
+ self.assertEqual(c.next_toward(1, 2), d)
+ self.assertEqual(c.next_toward(Decimal(1), 2), d)
+ self.assertEqual(c.next_toward(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.next_toward, '1', 2)
+ self.assertRaises(TypeError, c.next_toward, 1, '2')
+
+ def test_normalize(self):
+ c = Context()
+ d = c.normalize(Decimal(10))
+ self.assertEqual(c.normalize(10), d)
+ self.assertRaises(TypeError, c.normalize, '10')
+
+ def test_number_class(self):
+ c = Context()
+ self.assertEqual(c.number_class(123), c.number_class(Decimal(123)))
+ self.assertEqual(c.number_class(0), c.number_class(Decimal(0)))
+ self.assertEqual(c.number_class(-45), c.number_class(Decimal(-45)))
+
+ def test_power(self):
+ c = Context()
+ d = c.power(Decimal(1), Decimal(4), Decimal(2))
+ self.assertEqual(c.power(1, 4, 2), d)
+ self.assertEqual(c.power(Decimal(1), 4, 2), d)
+ self.assertEqual(c.power(1, Decimal(4), 2), d)
+ self.assertEqual(c.power(1, 4, Decimal(2)), d)
+ self.assertEqual(c.power(Decimal(1), Decimal(4), 2), d)
+ self.assertRaises(TypeError, c.power, '1', 4, 2)
+ self.assertRaises(TypeError, c.power, 1, '4', 2)
+ self.assertRaises(TypeError, c.power, 1, 4, '2')
+
+ def test_plus(self):
+ c = Context()
+ d = c.plus(Decimal(10))
+ self.assertEqual(c.plus(10), d)
+ self.assertRaises(TypeError, c.plus, '10')
+
+ def test_quantize(self):
+ c = Context()
+ d = c.quantize(Decimal(1), Decimal(2))
+ self.assertEqual(c.quantize(1, 2), d)
+ self.assertEqual(c.quantize(Decimal(1), 2), d)
+ self.assertEqual(c.quantize(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.quantize, '1', 2)
+ self.assertRaises(TypeError, c.quantize, 1, '2')
+
+ def test_remainder(self):
+ c = Context()
+ d = c.remainder(Decimal(1), Decimal(2))
+ self.assertEqual(c.remainder(1, 2), d)
+ self.assertEqual(c.remainder(Decimal(1), 2), d)
+ self.assertEqual(c.remainder(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.remainder, '1', 2)
+ self.assertRaises(TypeError, c.remainder, 1, '2')
+
+ def test_remainder_near(self):
+ c = Context()
+ d = c.remainder_near(Decimal(1), Decimal(2))
+ self.assertEqual(c.remainder_near(1, 2), d)
+ self.assertEqual(c.remainder_near(Decimal(1), 2), d)
+ self.assertEqual(c.remainder_near(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.remainder_near, '1', 2)
+ self.assertRaises(TypeError, c.remainder_near, 1, '2')
+
+ def test_rotate(self):
+ c = Context()
+ d = c.rotate(Decimal(1), Decimal(2))
+ self.assertEqual(c.rotate(1, 2), d)
+ self.assertEqual(c.rotate(Decimal(1), 2), d)
+ self.assertEqual(c.rotate(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.rotate, '1', 2)
+ self.assertRaises(TypeError, c.rotate, 1, '2')
+
+ def test_sqrt(self):
+ c = Context()
+ d = c.sqrt(Decimal(10))
+ self.assertEqual(c.sqrt(10), d)
+ self.assertRaises(TypeError, c.sqrt, '10')
+
+ def test_same_quantum(self):
+ c = Context()
+ d = c.same_quantum(Decimal(1), Decimal(2))
+ self.assertEqual(c.same_quantum(1, 2), d)
+ self.assertEqual(c.same_quantum(Decimal(1), 2), d)
+ self.assertEqual(c.same_quantum(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.same_quantum, '1', 2)
+ self.assertRaises(TypeError, c.same_quantum, 1, '2')
+
+ def test_scaleb(self):
+ c = Context()
+ d = c.scaleb(Decimal(1), Decimal(2))
+ self.assertEqual(c.scaleb(1, 2), d)
+ self.assertEqual(c.scaleb(Decimal(1), 2), d)
+ self.assertEqual(c.scaleb(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.scaleb, '1', 2)
+ self.assertRaises(TypeError, c.scaleb, 1, '2')
+
+ def test_shift(self):
+ c = Context()
+ d = c.shift(Decimal(1), Decimal(2))
+ self.assertEqual(c.shift(1, 2), d)
+ self.assertEqual(c.shift(Decimal(1), 2), d)
+ self.assertEqual(c.shift(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.shift, '1', 2)
+ self.assertRaises(TypeError, c.shift, 1, '2')
+
+ def test_subtract(self):
+ c = Context()
+ d = c.subtract(Decimal(1), Decimal(2))
+ self.assertEqual(c.subtract(1, 2), d)
+ self.assertEqual(c.subtract(Decimal(1), 2), d)
+ self.assertEqual(c.subtract(1, Decimal(2)), d)
+ self.assertRaises(TypeError, c.subtract, '1', 2)
+ self.assertRaises(TypeError, c.subtract, 1, '2')
+
+ def test_to_eng_string(self):
+ c = Context()
+ d = c.to_eng_string(Decimal(10))
+ self.assertEqual(c.to_eng_string(10), d)
+ self.assertRaises(TypeError, c.to_eng_string, '10')
+
+ def test_to_sci_string(self):
+ c = Context()
+ d = c.to_sci_string(Decimal(10))
+ self.assertEqual(c.to_sci_string(10), d)
+ self.assertRaises(TypeError, c.to_sci_string, '10')
+
+ def test_to_integral_exact(self):
+ c = Context()
+ d = c.to_integral_exact(Decimal(10))
+ self.assertEqual(c.to_integral_exact(10), d)
+ self.assertRaises(TypeError, c.to_integral_exact, '10')
+
+ def test_to_integral_value(self):
+ c = Context()
+ d = c.to_integral_value(Decimal(10))
+ self.assertEqual(c.to_integral_value(10), d)
+ self.assertRaises(TypeError, c.to_integral_value, '10')
+
+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.assertIs(orig_ctx, final_ctx, 'did not restore context correctly')
+ self.assertIsNot(orig_ctx, set_ctx, 'did not copy the context')
+ self.assertIs(set_ctx, 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.assertIs(orig_ctx, final_ctx, 'did not restore context correctly')
+ self.assertEqual(set_ctx.prec, new_ctx.prec, 'did not set correct context')
+ self.assertIsNot(new_ctx, set_ctx, 'did not copy the context')
+ self.assertIs(set_ctx, 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)
+
+ # flags we actually got
+ new_flags = [k for k,v in context.flags.items() if v]
+
+ self.assertEqual(ans, new_ans,
+ "operation produces different answers depending on flags set: " +
+ "expected %s, got %s." % (ans, new_ans))
+ self.assertItemsEqual(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)