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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:
http://speleotrove.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 warnings
import pickle, copy
import unittest
import numbers
import locale
from test.support import (run_unittest, run_doctest, is_resource_enabled,
requires_IEEE_754, requires_docstrings,
requires_legacy_unicode_capi)
from test.support import (TestFailed,
run_with_locale, cpython_only)
from test.support.import_helper import import_fresh_module
from test.support import warnings_helper
import random
import inspect
import threading
from _testcapi import decimal_is_special
from _testcapi import decimal_is_nan
from _testcapi import decimal_is_infinite
from _testcapi import decimal_get_digits
from _testcapi import decimal_as_triple
from _testcapi import decimal_from_triple
C = import_fresh_module('decimal', fresh=['_decimal'])
P = import_fresh_module('decimal', blocked=['_decimal'])
orig_sys_decimal = sys.modules['decimal']
# fractions module must import the correct decimal module.
cfractions = import_fresh_module('fractions', fresh=['fractions'])
sys.modules['decimal'] = P
pfractions = import_fresh_module('fractions', fresh=['fractions'])
sys.modules['decimal'] = C
fractions = {C:cfractions, P:pfractions}
sys.modules['decimal'] = orig_sys_decimal
# Useful Test Constant
Signals = {
C: tuple(C.getcontext().flags.keys()) if C else None,
P: tuple(P.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 = {
C: [C.Clamped, C.Rounded, C.Inexact, C.Subnormal, C.Underflow,
C.Overflow, C.DivisionByZero, C.InvalidOperation,
C.FloatOperation] if C else None,
P: [P.Clamped, P.Rounded, P.Inexact, P.Subnormal, P.Underflow,
P.Overflow, P.DivisionByZero, P.InvalidOperation,
P.FloatOperation]
}
def assert_signals(cls, context, attr, expected):
d = getattr(context, attr)
cls.assertTrue(all(d[s] if s in expected else not d[s] for s in d))
ROUND_UP = P.ROUND_UP
ROUND_DOWN = P.ROUND_DOWN
ROUND_CEILING = P.ROUND_CEILING
ROUND_FLOOR = P.ROUND_FLOOR
ROUND_HALF_UP = P.ROUND_HALF_UP
ROUND_HALF_DOWN = P.ROUND_HALF_DOWN
ROUND_HALF_EVEN = P.ROUND_HALF_EVEN
ROUND_05UP = P.ROUND_05UP
RoundingModes = [
ROUND_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR,
ROUND_HALF_UP, ROUND_HALF_DOWN, ROUND_HALF_EVEN,
ROUND_05UP
]
# Tests are built around these assumed context defaults.
# test_main() restores the original context.
ORIGINAL_CONTEXT = {
C: C.getcontext().copy() if C else None,
P: P.getcontext().copy()
}
def init(m):
if not m: return
DefaultTestContext = m.Context(
prec=9, rounding=ROUND_HALF_EVEN, traps=dict.fromkeys(Signals[m], 0)
)
m.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
# Test extra functionality in the C version (-DEXTRA_FUNCTIONALITY).
EXTRA_FUNCTIONALITY = True if hasattr(C, 'DecClamped') else False
requires_extra_functionality = unittest.skipUnless(
EXTRA_FUNCTIONALITY, "test requires build with -DEXTRA_FUNCTIONALITY")
skip_if_extra_functionality = unittest.skipIf(
EXTRA_FUNCTIONALITY, "test requires regular build")
class IBMTestCases(unittest.TestCase):
"""Class which tests the Decimal class against the IBM test cases."""
def setUp(self):
self.context = self.decimal.Context()
self.readcontext = self.decimal.Context()
self.ignore_list = ['#']
# List of individual .decTest test ids that correspond to tests that
# we're skipping for one reason or another.
self.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',
])
if self.decimal == C:
# status has additional Subnormal, Underflow
self.skipped_test_ids.add('pwsx803')
self.skipped_test_ids.add('pwsx805')
# Correct rounding (skipped for decNumber, too)
self.skipped_test_ids.add('powx4302')
self.skipped_test_ids.add('powx4303')
self.skipped_test_ids.add('powx4342')
self.skipped_test_ids.add('powx4343')
# http://bugs.python.org/issue7049
self.skipped_test_ids.add('pwmx325')
self.skipped_test_ids.add('pwmx326')
# Map test directives to setter functions.
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}
# Name adapter to be able to change the Decimal and Context
# interface without changing the test files from Cowlishaw.
self.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'}
# Map test-case names to roundings.
self.RoundingDict = {'ceiling' : ROUND_CEILING,
'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}
# Map the test cases' error names to the actual errors.
self.ErrorNames = {'clamped' : self.decimal.Clamped,
'conversion_syntax' : self.decimal.InvalidOperation,
'division_by_zero' : self.decimal.DivisionByZero,
'division_impossible' : self.decimal.InvalidOperation,
'division_undefined' : self.decimal.InvalidOperation,
'inexact' : self.decimal.Inexact,
'invalid_context' : self.decimal.InvalidOperation,
'invalid_operation' : self.decimal.InvalidOperation,
'overflow' : self.decimal.Overflow,
'rounded' : self.decimal.Rounded,
'subnormal' : self.decimal.Subnormal,
'underflow' : self.decimal.Underflow}
# The following functions return True/False rather than a
# Decimal instance.
self.LogicalFunctions = ('is_canonical',
'is_finite',
'is_infinite',
'is_nan',
'is_normal',
'is_qnan',
'is_signed',
'is_snan',
'is_subnormal',
'is_zero',
'same_quantum')
def read_unlimited(self, v, context):
"""Work around the limitations of the 32-bit _decimal version. The
guaranteed maximum values for prec, Emax etc. are 425000000,
but higher values usually work, except for rare corner cases.
In particular, all of the IBM tests pass with maximum values
of 1070000000."""
if self.decimal == C and self.decimal.MAX_EMAX == 425000000:
self.readcontext._unsafe_setprec(1070000000)
self.readcontext._unsafe_setemax(1070000000)
self.readcontext._unsafe_setemin(-1070000000)
return self.readcontext.create_decimal(v)
else:
return self.decimal.Decimal(v, context)
def eval_file(self, file):
global skip_expected
if skip_expected:
raise unittest.SkipTest
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 self.decimal.DecimalException as exception:
#Exception raised where there shouldn't have been one.
self.fail('Exception "'+exception.__class__.__name__ + '" raised on line '+line)
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 = (x.strip().lower() for x in s.split(':'))
if funct == 'rounding':
value = self.RoundingDict[value]
else:
try:
value = int(value)
except ValueError:
pass
funct = self.ChangeDict.get(funct, (lambda *args: None))
funct(value)
def eval_equation(self, s):
if not TEST_ALL and random.random() < 0.90:
return
self.context.clear_flags()
try:
Sides = s.split('->')
L = Sides[0].strip().split()
id = L[0]
if DEBUG:
print("Test ", id, end=" ")
funct = L[1].lower()
valstemp = L[2:]
L = Sides[1].strip().split()
ans = L[0]
exceptions = L[1:]
except (TypeError, AttributeError, IndexError):
raise self.decimal.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 self.skipped_test_ids:
return
fname = self.NameAdapter.get(funct, funct)
if fname == 'rescale':
return
funct = getattr(self.context, fname)
vals = []
conglomerate = ''
quote = 0
theirexceptions = [self.ErrorNames[x.lower()] for x in exceptions]
for exception in Signals[self.decimal]:
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[self.decimal] as 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 = self.read_unlimited(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[self.decimal] as 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[self.decimal] if e in theirexceptions]
for error in ordered_errors:
self.context.traps[error] = 1
try:
funct(*vals)
except error:
pass
except Signals[self.decimal] as 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 self.LogicalFunctions:
result = str(int(eval(result))) # 'True', 'False' -> '1', '0'
except Signals[self.decimal] as 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()
myexceptions.sort(key=repr)
theirexceptions.sort(key=repr)
self.assertEqual(result, ans,
'Incorrect answer for ' + s + ' -- got ' + result)
self.assertEqual(myexceptions, theirexceptions,
'Incorrect flags set in ' + s + ' -- got ' + str(myexceptions))
def getexceptions(self):
return [e for e in Signals[self.decimal] if self.context.flags[e]]
def change_precision(self, prec):
if self.decimal == C and self.decimal.MAX_PREC == 425000000:
self.context._unsafe_setprec(prec)
else:
self.context.prec = prec
def change_rounding_method(self, rounding):
self.context.rounding = rounding
def change_min_exponent(self, exp):
if self.decimal == C and self.decimal.MAX_PREC == 425000000:
self.context._unsafe_setemin(exp)
else:
self.context.Emin = exp
def change_max_exponent(self, exp):
if self.decimal == C and self.decimal.MAX_PREC == 425000000:
self.context._unsafe_setemax(exp)
else:
self.context.Emax = exp
def change_clamp(self, clamp):
self.context.clamp = clamp
class CIBMTestCases(IBMTestCases):
decimal = C
class PyIBMTestCases(IBMTestCases):
decimal = P
# The following classes test the behaviour of Decimal according to PEP 327
class ExplicitConstructionTest(unittest.TestCase):
'''Unit tests for Explicit Construction cases of Decimal.'''
def test_explicit_empty(self):
Decimal = self.decimal.Decimal
self.assertEqual(Decimal(), Decimal("0"))
def test_explicit_from_None(self):
Decimal = self.decimal.Decimal
self.assertRaises(TypeError, Decimal, None)
def test_explicit_from_int(self):
Decimal = self.decimal.Decimal
#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')
# single word longs
for n in range(0, 32):
for sign in (-1, 1):
for x in range(-5, 5):
i = sign * (2**n + x)
d = Decimal(i)
self.assertEqual(str(d), str(i))
def test_explicit_from_string(self):
Decimal = self.decimal.Decimal
InvalidOperation = self.decimal.InvalidOperation
localcontext = self.decimal.localcontext
#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')
self.assertEqual(str(Decimal(" 3.45679 ")), '3.45679')
# underscores
self.assertEqual(str(Decimal('1_3.3e4_0')), '1.33E+41')
self.assertEqual(str(Decimal('1_0_0_0')), '1000')
# unicode whitespace
for lead in ["", ' ', '\u00a0', '\u205f']:
for trail in ["", ' ', '\u00a0', '\u205f']:
self.assertEqual(str(Decimal(lead + '9.311E+28' + trail)),
'9.311E+28')
with localcontext() as c:
c.traps[InvalidOperation] = True
# Invalid string
self.assertRaises(InvalidOperation, Decimal, "xyz")
# Two arguments max
self.assertRaises(TypeError, Decimal, "1234", "x", "y")
# space within the numeric part
self.assertRaises(InvalidOperation, Decimal, "1\u00a02\u00a03")
self.assertRaises(InvalidOperation, Decimal, "\u00a01\u00a02\u00a0")
# unicode whitespace
self.assertRaises(InvalidOperation, Decimal, "\u00a0")
self.assertRaises(InvalidOperation, Decimal, "\u00a0\u00a0")
# embedded NUL
self.assertRaises(InvalidOperation, Decimal, "12\u00003")
# underscores don't prevent errors
self.assertRaises(InvalidOperation, Decimal, "1_2_\u00003")
@cpython_only
@requires_legacy_unicode_capi
@warnings_helper.ignore_warnings(category=DeprecationWarning)
def test_from_legacy_strings(self):
import _testcapi
Decimal = self.decimal.Decimal
context = self.decimal.Context()
s = _testcapi.unicode_legacy_string('9.999999')
self.assertEqual(str(Decimal(s)), '9.999999')
self.assertEqual(str(context.create_decimal(s)), '9.999999')
def test_explicit_from_tuples(self):
Decimal = self.decimal.Decimal
#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')
#inf
d = Decimal( (0, (), "F") )
self.assertEqual(str(d), 'Infinity')
#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, "xyz", 2) )
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_list(self):
Decimal = self.decimal.Decimal
d = Decimal([0, [0], 0])
self.assertEqual(str(d), '0')
d = Decimal([1, [4, 3, 4, 9, 1, 3, 5, 3, 4], -25])
self.assertEqual(str(d), '-4.34913534E-17')
d = Decimal([1, (4, 3, 4, 9, 1, 3, 5, 3, 4), -25])
self.assertEqual(str(d), '-4.34913534E-17')
d = Decimal((1, [4, 3, 4, 9, 1, 3, 5, 3, 4], -25))
self.assertEqual(str(d), '-4.34913534E-17')
def test_explicit_from_bool(self):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
#positive
d = Decimal(45)
e = Decimal(d)
self.assertEqual(str(e), '45')
#very large positive
d = Decimal(500000123)
e = Decimal(d)
self.assertEqual(str(e), '500000123')
#negative
d = Decimal(-45)
e = Decimal(d)
self.assertEqual(str(e), '-45')
#zero
d = Decimal(0)
e = Decimal(d)
self.assertEqual(str(e), '0')
@requires_IEEE_754
def test_explicit_from_float(self):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
InvalidOperation = self.decimal.InvalidOperation
Rounded = self.decimal.Rounded
nc = copy.copy(self.decimal.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')
# more integers
nc.prec = 28
nc.traps[InvalidOperation] = True
for v in [-2**63-1, -2**63, -2**31-1, -2**31, 0,
2**31-1, 2**31, 2**63-1, 2**63]:
d = nc.create_decimal(v)
self.assertTrue(isinstance(d, Decimal))
self.assertEqual(int(d), v)
nc.prec = 3
nc.traps[Rounded] = True
self.assertRaises(Rounded, nc.create_decimal, 1234)
# from string
nc.prec = 28
self.assertEqual(str(nc.create_decimal('0E-017')), '0E-17')
self.assertEqual(str(nc.create_decimal('45')), '45')
self.assertEqual(str(nc.create_decimal('-Inf')), '-Infinity')
self.assertEqual(str(nc.create_decimal('NaN123')), 'NaN123')
# invalid arguments
self.assertRaises(InvalidOperation, nc.create_decimal, "xyz")
self.assertRaises(ValueError, nc.create_decimal, (1, "xyz", -25))
self.assertRaises(TypeError, nc.create_decimal, "1234", "5678")
# no whitespace and underscore stripping is done with this method
self.assertRaises(InvalidOperation, nc.create_decimal, " 1234")
self.assertRaises(InvalidOperation, nc.create_decimal, "12_34")
# too many NaN payload digits
nc.prec = 3
self.assertRaises(InvalidOperation, nc.create_decimal, 'NaN12345')
self.assertRaises(InvalidOperation, nc.create_decimal,
Decimal('NaN12345'))
nc.traps[InvalidOperation] = False
self.assertEqual(str(nc.create_decimal('NaN12345')), 'NaN')
self.assertTrue(nc.flags[InvalidOperation])
nc.flags[InvalidOperation] = False
self.assertEqual(str(nc.create_decimal(Decimal('NaN12345'))), 'NaN')
self.assertTrue(nc.flags[InvalidOperation])
def test_explicit_context_create_from_float(self):
Decimal = self.decimal.Decimal
nc = self.decimal.Context()
r = nc.create_decimal(0.1)
self.assertEqual(type(r), Decimal)
self.assertEqual(str(r), '0.1000000000000000055511151231')
self.assertTrue(nc.create_decimal(float('nan')).is_qnan())
self.assertTrue(nc.create_decimal(float('inf')).is_infinite())
self.assertTrue(nc.create_decimal(float('-inf')).is_infinite())
self.assertEqual(str(nc.create_decimal(float('nan'))),
str(nc.create_decimal('NaN')))
self.assertEqual(str(nc.create_decimal(float('inf'))),
str(nc.create_decimal('Infinity')))
self.assertEqual(str(nc.create_decimal(float('-inf'))),
str(nc.create_decimal('-Infinity')))
self.assertEqual(str(nc.create_decimal(float('-0.0'))),
str(nc.create_decimal('-0')))
nc.prec = 100
for i in range(200):
x = random.expovariate(0.01) * (random.random() * 2.0 - 1.0)
self.assertEqual(x, float(nc.create_decimal(x))) # roundtrip
def test_unicode_digits(self):
Decimal = self.decimal.Decimal
test_values = {
'\uff11': '1',
'\u0660.\u0660\u0663\u0667\u0662e-\u0663' : '0.0000372',
'-nan\u0c68\u0c6a\u0c66\u0c66' : '-NaN2400',
}
for input, expected in test_values.items():
self.assertEqual(str(Decimal(input)), expected)
class CExplicitConstructionTest(ExplicitConstructionTest):
decimal = C
class PyExplicitConstructionTest(ExplicitConstructionTest):
decimal = P
class ImplicitConstructionTest(unittest.TestCase):
'''Unit tests for Implicit Construction cases of Decimal.'''
def test_implicit_from_None(self):
Decimal = self.decimal.Decimal
self.assertRaises(TypeError, eval, 'Decimal(5) + None', locals())
def test_implicit_from_int(self):
Decimal = self.decimal.Decimal
#normal
self.assertEqual(str(Decimal(5) + 45), '50')
#exceeding precision
self.assertEqual(Decimal(5) + 123456789000, Decimal(123456789000))
def test_implicit_from_string(self):
Decimal = self.decimal.Decimal
self.assertRaises(TypeError, eval, 'Decimal(5) + "3"', locals())
def test_implicit_from_float(self):
Decimal = self.decimal.Decimal
self.assertRaises(TypeError, eval, 'Decimal(5) + 2.2', locals())
def test_implicit_from_Decimal(self):
Decimal = self.decimal.Decimal
self.assertEqual(Decimal(5) + Decimal(45), Decimal(50))
def test_rop(self):
Decimal = self.decimal.Decimal
# 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__'),
('/', '__truediv__', '__rtruediv__'),
('%', '__mod__', '__rmod__'),
('//', '__floordiv__', '__rfloordiv__'),
('**', '__pow__', '__rpow__')
]
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 CImplicitConstructionTest(ImplicitConstructionTest):
decimal = C
class PyImplicitConstructionTest(ImplicitConstructionTest):
decimal = P
class FormatTest(unittest.TestCase):
'''Unit tests for the format function.'''
def test_formatting(self):
Decimal = self.decimal.Decimal
# 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
('.0n', '3.14159265', '3'), # same for 'n'
('.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'),
('\x00=10', '-inf', '-\x00Infinity'),
('\x00^16', '-inf', '\x00\x00\x00-Infinity\x00\x00\x00\x00'),
('\x00>10', '1.2345', '\x00\x00\x00\x001.2345'),
('\x00<10', '1.2345', '1.2345\x00\x00\x00\x00'),
# 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'),
# issue 22090
('<^+15.20%', 'inf', '<<+Infinity%<<<'),
('\x07>,%', 'sNaN1234567', 'sNaN1234567%'),
('=10.10%', 'NaN123', ' NaN123%'),
]
for fmt, d, result in test_values:
self.assertEqual(format(Decimal(d), fmt), result)
# bytes format argument
self.assertRaises(TypeError, Decimal(1).__format__, b'-020')
def test_n_format(self):
Decimal = self.decimal.Decimal
try:
from locale import CHAR_MAX
except ImportError:
self.skipTest('locale.CHAR_MAX not available')
def make_grouping(lst):
return ''.join([chr(x) for x in lst]) if self.decimal == C else lst
def get_fmt(x, override=None, fmt='n'):
if self.decimal == C:
return Decimal(x).__format__(fmt, override)
else:
return Decimal(x).__format__(fmt, _localeconv=override)
# Set up some localeconv-like dictionaries
en_US = {
'decimal_point' : '.',
'grouping' : make_grouping([3, 3, 0]),
'thousands_sep' : ','
}
fr_FR = {
'decimal_point' : ',',
'grouping' : make_grouping([CHAR_MAX]),
'thousands_sep' : ''
}
ru_RU = {
'decimal_point' : ',',
'grouping': make_grouping([3, 3, 0]),
'thousands_sep' : ' '
}
crazy = {
'decimal_point' : '&',
'grouping': make_grouping([1, 4, 2, CHAR_MAX]),
'thousands_sep' : '-'
}
dotsep_wide = {
'decimal_point' : b'\xc2\xbf'.decode('utf-8'),
'grouping': make_grouping([3, 3, 0]),
'thousands_sep' : b'\xc2\xb4'.decode('utf-8')
}
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')
# wide char separator and decimal point
self.assertEqual(get_fmt(Decimal('-1.5'), dotsep_wide, '020n'),
'-0\u00b4000\u00b4000\u00b4000\u00b4001\u00bf5')
@run_with_locale('LC_ALL', 'ps_AF')
def test_wide_char_separator_decimal_point(self):
# locale with wide char separator and decimal point
Decimal = self.decimal.Decimal
decimal_point = locale.localeconv()['decimal_point']
thousands_sep = locale.localeconv()['thousands_sep']
if decimal_point != '\u066b':
self.skipTest('inappropriate decimal point separator '
'({!a} not {!a})'.format(decimal_point, '\u066b'))
if thousands_sep != '\u066c':
self.skipTest('inappropriate thousands separator '
'({!a} not {!a})'.format(thousands_sep, '\u066c'))
self.assertEqual(format(Decimal('100000000.123'), 'n'),
'100\u066c000\u066c000\u066b123')
def test_decimal_from_float_argument_type(self):
class A(self.decimal.Decimal):
def __init__(self, a):
self.a_type = type(a)
a = A.from_float(42.5)
self.assertEqual(self.decimal.Decimal, a.a_type)
a = A.from_float(42)
self.assertEqual(self.decimal.Decimal, a.a_type)
class CFormatTest(FormatTest):
decimal = C
class PyFormatTest(FormatTest):
decimal = P
class ArithmeticOperatorsTest(unittest.TestCase):
'''Unit tests for all arithmetic operators, binary and unary.'''
def test_addition(self):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
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.
Decimal = self.decimal.Decimal
InvalidOperation = self.decimal.InvalidOperation
localcontext = self.decimal.localcontext
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):
Decimal = self.decimal.Decimal
d = Decimal(1).copy_sign(Decimal(-2))
self.assertEqual(Decimal(1).copy_sign(-2), d)
self.assertRaises(TypeError, Decimal(1).copy_sign, '-2')
class CArithmeticOperatorsTest(ArithmeticOperatorsTest):
decimal = C
class PyArithmeticOperatorsTest(ArithmeticOperatorsTest):
decimal = P
# The following are two functions used to test threading in the next class
def thfunc1(cls):
Decimal = cls.decimal.Decimal
InvalidOperation = cls.decimal.InvalidOperation
DivisionByZero = cls.decimal.DivisionByZero
Overflow = cls.decimal.Overflow
Underflow = cls.decimal.Underflow
Inexact = cls.decimal.Inexact
getcontext = cls.decimal.getcontext
localcontext = cls.decimal.localcontext
d1 = Decimal(1)
d3 = Decimal(3)
test1 = d1/d3
cls.finish1.set()
cls.synchro.wait()
test2 = d1/d3
with localcontext() as c2:
cls.assertTrue(c2.flags[Inexact])
cls.assertRaises(DivisionByZero, c2.divide, d1, 0)
cls.assertTrue(c2.flags[DivisionByZero])
with localcontext() as c3:
cls.assertTrue(c3.flags[Inexact])
cls.assertTrue(c3.flags[DivisionByZero])
cls.assertRaises(InvalidOperation, c3.compare, d1, Decimal('sNaN'))
cls.assertTrue(c3.flags[InvalidOperation])
del c3
cls.assertFalse(c2.flags[InvalidOperation])
del c2
cls.assertEqual(test1, Decimal('0.333333333333333333333333'))
cls.assertEqual(test2, Decimal('0.333333333333333333333333'))
c1 = getcontext()
cls.assertTrue(c1.flags[Inexact])
for sig in Overflow, Underflow, DivisionByZero, InvalidOperation:
cls.assertFalse(c1.flags[sig])
def thfunc2(cls):
Decimal = cls.decimal.Decimal
InvalidOperation = cls.decimal.InvalidOperation
DivisionByZero = cls.decimal.DivisionByZero
Overflow = cls.decimal.Overflow
Underflow = cls.decimal.Underflow
Inexact = cls.decimal.Inexact
getcontext = cls.decimal.getcontext
localcontext = cls.decimal.localcontext
d1 = Decimal(1)
d3 = Decimal(3)
test1 = d1/d3
thiscontext = getcontext()
thiscontext.prec = 18
test2 = d1/d3
with localcontext() as c2:
cls.assertTrue(c2.flags[Inexact])
cls.assertRaises(Overflow, c2.multiply, Decimal('1e425000000'), 999)
cls.assertTrue(c2.flags[Overflow])
with localcontext(thiscontext) as c3:
cls.assertTrue(c3.flags[Inexact])
cls.assertFalse(c3.flags[Overflow])
c3.traps[Underflow] = True
cls.assertRaises(Underflow, c3.divide, Decimal('1e-425000000'), 999)
cls.assertTrue(c3.flags[Underflow])
del c3
cls.assertFalse(c2.flags[Underflow])
cls.assertFalse(c2.traps[Underflow])
del c2
cls.synchro.set()
cls.finish2.set()
cls.assertEqual(test1, Decimal('0.333333333333333333333333'))
cls.assertEqual(test2, Decimal('0.333333333333333333'))
cls.assertFalse(thiscontext.traps[Underflow])
cls.assertTrue(thiscontext.flags[Inexact])
for sig in Overflow, Underflow, DivisionByZero, InvalidOperation:
cls.assertFalse(thiscontext.flags[sig])
class ThreadingTest(unittest.TestCase):
'''Unit tests for thread local contexts in Decimal.'''
# 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):
DefaultContext = self.decimal.DefaultContext
if self.decimal == C and not self.decimal.HAVE_THREADS:
self.skipTest("compiled without threading")
# Test the "threading isolation" of a Context. Also test changing
# the DefaultContext, which acts as a template for the thread-local
# contexts.
save_prec = DefaultContext.prec
save_emax = DefaultContext.Emax
save_emin = DefaultContext.Emin
DefaultContext.prec = 24
DefaultContext.Emax = 425000000
DefaultContext.Emin = -425000000
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()
for sig in Signals[self.decimal]:
self.assertFalse(DefaultContext.flags[sig])
th1.join()
th2.join()
DefaultContext.prec = save_prec
DefaultContext.Emax = save_emax
DefaultContext.Emin = save_emin
class CThreadingTest(ThreadingTest):
decimal = C
class PyThreadingTest(ThreadingTest):
decimal = P
class UsabilityTest(unittest.TestCase):
'''Unit tests for Usability cases of Decimal.'''
def test_comparison_operators(self):
Decimal = self.decimal.Decimal
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)
#a Decimal and an int
self.assertGreater(dc, 23)
self.assertLess(23, dc)
self.assertEqual(dc, 45)
#a Decimal and uncomparable
self.assertNotEqual(da, 'ugly')
self.assertNotEqual(da, 32.7)
self.assertNotEqual(da, object())
self.assertNotEqual(da, object)
# sortable
a = list(map(Decimal, range(100)))
b = a[:]
random.shuffle(a)
a.sort()
self.assertEqual(a, b)
def test_decimal_float_comparison(self):
Decimal = self.decimal.Decimal
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_decimal_complex_comparison(self):
Decimal = self.decimal.Decimal
da = Decimal('0.25')
db = Decimal('3.0')
self.assertNotEqual(da, (1.5+0j))
self.assertNotEqual((1.5+0j), da)
self.assertEqual(da, (0.25+0j))
self.assertEqual((0.25+0j), da)
self.assertEqual((3.0+0j), db)
self.assertEqual(db, (3.0+0j))
self.assertNotEqual(db, (3.0+1j))
self.assertNotEqual((3.0+1j), db)
self.assertIs(db.__lt__(3.0+0j), NotImplemented)
self.assertIs(db.__le__(3.0+0j), NotImplemented)
self.assertIs(db.__gt__(3.0+0j), NotImplemented)
self.assertIs(db.__le__(3.0+0j), NotImplemented)
def test_decimal_fraction_comparison(self):
D = self.decimal.Decimal
F = fractions[self.decimal].Fraction
Context = self.decimal.Context
localcontext = self.decimal.localcontext
InvalidOperation = self.decimal.InvalidOperation
emax = C.MAX_EMAX if C else 999999999
emin = C.MIN_EMIN if C else -999999999
etiny = C.MIN_ETINY if C else -1999999997
c = Context(Emax=emax, Emin=emin)
with localcontext(c):
c.prec = emax
self.assertLess(D(0), F(1,9999999999999999999999999999999999999))
self.assertLess(F(-1,9999999999999999999999999999999999999), D(0))
self.assertLess(F(0,1), D("1e" + str(etiny)))
self.assertLess(D("-1e" + str(etiny)), F(0,1))
self.assertLess(F(0,9999999999999999999999999), D("1e" + str(etiny)))
self.assertLess(D("-1e" + str(etiny)), F(0,9999999999999999999999999))
self.assertEqual(D("0.1"), F(1,10))
self.assertEqual(F(1,10), D("0.1"))
c.prec = 300
self.assertNotEqual(D(1)/3, F(1,3))
self.assertNotEqual(F(1,3), D(1)/3)
self.assertLessEqual(F(120984237, 9999999999), D("9e" + str(emax)))
self.assertGreaterEqual(D("9e" + str(emax)), F(120984237, 9999999999))
self.assertGreater(D('inf'), F(99999999999,123))
self.assertGreater(D('inf'), F(-99999999999,123))
self.assertLess(D('-inf'), F(99999999999,123))
self.assertLess(D('-inf'), F(-99999999999,123))
self.assertRaises(InvalidOperation, D('nan').__gt__, F(-9,123))
self.assertIs(NotImplemented, F(-9,123).__lt__(D('nan')))
self.assertNotEqual(D('nan'), F(-9,123))
self.assertNotEqual(F(-9,123), D('nan'))
def test_copy_and_deepcopy_methods(self):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
localcontext = self.decimal.localcontext
def hashit(d):
a = hash(d)
b = d.__hash__()
self.assertEqual(a, b)
return a
#just that it's hashable
hashit(Decimal(23))
hashit(Decimal('Infinity'))
hashit(Decimal('-Infinity'))
hashit(Decimal('nan123'))
hashit(Decimal('-NaN'))
test_values = [Decimal(sign*(2**m + n))
for m in [0, 14, 15, 16, 17, 30, 31,
32, 33, 61, 62, 63, 64, 65, 66]
for n in range(-10, 10)
for sign in [-1, 1]]
test_values.extend([
Decimal("-1"), # ==> -2
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(hashit(value), hashit(int(value)))
#the same hash that to an int
self.assertEqual(hashit(Decimal(23)), hashit(23))
self.assertRaises(TypeError, hash, Decimal('sNaN'))
self.assertTrue(hashit(Decimal('Inf')))
self.assertTrue(hashit(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(hashit(f), hashit(d))
with localcontext() as c:
# check that the value of the hash doesn't depend on the
# current context (issue #1757)
x = Decimal("123456789.1")
c.prec = 6
h1 = hashit(x)
c.prec = 10
h2 = hashit(x)
c.prec = 16
h3 = hashit(x)
self.assertEqual(h1, h2)
self.assertEqual(h1, h3)
c.prec = 10000
x = 1100 ** 1248
self.assertEqual(hashit(Decimal(x)), hashit(x))
def test_min_and_max_methods(self):
Decimal = self.decimal.Decimal
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 int
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):
Decimal = self.decimal.Decimal
#as false
self.assertFalse(Decimal(0))
#as true
self.assertTrue(Decimal('0.372'))
def test_tostring_methods(self):
#Test str and repr methods.
Decimal = self.decimal.Decimal
d = Decimal('15.32')
self.assertEqual(str(d), '15.32') # str
self.assertEqual(repr(d), "Decimal('15.32')") # repr
def test_tonum_methods(self):
#Test float and int methods.
Decimal = self.decimal.Decimal
d1 = Decimal('66')
d2 = Decimal('15.32')
#int
self.assertEqual(int(d1), 66)
self.assertEqual(int(d2), 15)
#float
self.assertEqual(float(d1), 66)
self.assertEqual(float(d2), 15.32)
#floor
test_pairs = [
('123.00', 123),
('3.2', 3),
('3.54', 3),
('3.899', 3),
('-2.3', -3),
('-11.0', -11),
('0.0', 0),
('-0E3', 0),
('89891211712379812736.1', 89891211712379812736),
]
for d, i in test_pairs:
self.assertEqual(math.floor(Decimal(d)), i)
self.assertRaises(ValueError, math.floor, Decimal('-NaN'))
self.assertRaises(ValueError, math.floor, Decimal('sNaN'))
self.assertRaises(ValueError, math.floor, Decimal('NaN123'))
self.assertRaises(OverflowError, math.floor, Decimal('Inf'))
self.assertRaises(OverflowError, math.floor, Decimal('-Inf'))
#ceiling
test_pairs = [
('123.00', 123),
('3.2', 4),
('3.54', 4),
('3.899', 4),
('-2.3', -2),
('-11.0', -11),
('0.0', 0),
('-0E3', 0),
('89891211712379812736.1', 89891211712379812737),
]
for d, i in test_pairs:
self.assertEqual(math.ceil(Decimal(d)), i)
self.assertRaises(ValueError, math.ceil, Decimal('-NaN'))
self.assertRaises(ValueError, math.ceil, Decimal('sNaN'))
self.assertRaises(ValueError, math.ceil, Decimal('NaN123'))
self.assertRaises(OverflowError, math.ceil, Decimal('Inf'))
self.assertRaises(OverflowError, math.ceil, Decimal('-Inf'))
#round, single argument
test_pairs = [
('123.00', 123),
('3.2', 3),
('3.54', 4),
('3.899', 4),
('-2.3', -2),
('-11.0', -11),
('0.0', 0),
('-0E3', 0),
('-3.5', -4),
('-2.5', -2),
('-1.5', -2),
('-0.5', 0),
('0.5', 0),
('1.5', 2),
('2.5', 2),
('3.5', 4),
]
for d, i in test_pairs:
self.assertEqual(round(Decimal(d)), i)
self.assertRaises(ValueError, round, Decimal('-NaN'))
self.assertRaises(ValueError, round, Decimal('sNaN'))
self.assertRaises(ValueError, round, Decimal('NaN123'))
self.assertRaises(OverflowError, round, Decimal('Inf'))
self.assertRaises(OverflowError, round, Decimal('-Inf'))
#round, two arguments; this is essentially equivalent
#to quantize, which is already extensively tested
test_triples = [
('123.456', -4, '0E+4'),
('123.456', -3, '0E+3'),
('123.456', -2, '1E+2'),
('123.456', -1, '1.2E+2'),
('123.456', 0, '123'),
('123.456', 1, '123.5'),
('123.456', 2, '123.46'),
('123.456', 3, '123.456'),
('123.456', 4, '123.4560'),
('123.455', 2, '123.46'),
('123.445', 2, '123.44'),
('Inf', 4, 'NaN'),
('-Inf', -23, 'NaN'),
('sNaN314', 3, 'NaN314'),
]
for d, n, r in test_triples:
self.assertEqual(str(round(Decimal(d), n)), r)
def test_nan_to_float(self):
# Test conversions of decimal NANs to float.
# See http://bugs.python.org/issue15544
Decimal = self.decimal.Decimal
for s in ('nan', 'nan1234', '-nan', '-nan2468'):
f = float(Decimal(s))
self.assertTrue(math.isnan(f))
sign = math.copysign(1.0, f)
self.assertEqual(sign, -1.0 if s.startswith('-') else 1.0)
def test_snan_to_float(self):
Decimal = self.decimal.Decimal
for s in ('snan', '-snan', 'snan1357', '-snan1234'):
d = Decimal(s)
self.assertRaises(ValueError, float, d)
def test_eval_round_trip(self):
Decimal = self.decimal.Decimal
#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):
Decimal = self.decimal.Decimal
#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) )
# The '0' coefficient is implementation specific to decimal.py.
# It has no meaning in the C-version and is ignored there.
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') )
# For infinities, decimal.py has always silently accepted any
# coefficient tuple.
d = Decimal( (0, (0,), 'F') )
self.assertEqual(d.as_tuple(), (0, (0,), 'F'))
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_as_integer_ratio(self):
Decimal = self.decimal.Decimal
# exceptional cases
self.assertRaises(OverflowError,
Decimal.as_integer_ratio, Decimal('inf'))
self.assertRaises(OverflowError,
Decimal.as_integer_ratio, Decimal('-inf'))
self.assertRaises(ValueError,
Decimal.as_integer_ratio, Decimal('-nan'))
self.assertRaises(ValueError,
Decimal.as_integer_ratio, Decimal('snan123'))
for exp in range(-4, 2):
for coeff in range(1000):
for sign in '+', '-':
d = Decimal('%s%dE%d' % (sign, coeff, exp))
pq = d.as_integer_ratio()
p, q = pq
# check return type
self.assertIsInstance(pq, tuple)
self.assertIsInstance(p, int)
self.assertIsInstance(q, int)
# check normalization: q should be positive;
# p should be relatively prime to q.
self.assertGreater(q, 0)
self.assertEqual(math.gcd(p, q), 1)
# check that p/q actually gives the correct value
self.assertEqual(Decimal(p) / Decimal(q), d)
def test_subclassing(self):
# Different behaviours when subclassing Decimal
Decimal = self.decimal.Decimal
class MyDecimal(Decimal):
y = None
d1 = MyDecimal(1)
d2 = MyDecimal(2)
d = d1 + d2
self.assertIs(type(d), Decimal)
d = d1.max(d2)
self.assertIs(type(d), Decimal)
d = copy.copy(d1)
self.assertIs(type(d), MyDecimal)
self.assertEqual(d, d1)
d = copy.deepcopy(d1)
self.assertIs(type(d), MyDecimal)
self.assertEqual(d, d1)
# Decimal(Decimal)
d = Decimal('1.0')
x = Decimal(d)
self.assertIs(type(x), Decimal)
self.assertEqual(x, d)
# MyDecimal(Decimal)
m = MyDecimal(d)
self.assertIs(type(m), MyDecimal)
self.assertEqual(m, d)
self.assertIs(m.y, None)
# Decimal(MyDecimal)
x = Decimal(m)
self.assertIs(type(x), Decimal)
self.assertEqual(x, d)
# MyDecimal(MyDecimal)
m.y = 9
x = MyDecimal(m)
self.assertIs(type(x), MyDecimal)
self.assertEqual(x, d)
self.assertIs(x.y, None)
def test_implicit_context(self):
Decimal = self.decimal.Decimal
getcontext = self.decimal.getcontext
# Check results when context given implicitly. (Issue 2478)
c = getcontext()
self.assertEqual(str(Decimal(0).sqrt()),
str(c.sqrt(Decimal(0))))
def test_none_args(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
localcontext = self.decimal.localcontext
InvalidOperation = self.decimal.InvalidOperation
DivisionByZero = self.decimal.DivisionByZero
Overflow = self.decimal.Overflow
Underflow = self.decimal.Underflow
Subnormal = self.decimal.Subnormal
Inexact = self.decimal.Inexact
Rounded = self.decimal.Rounded
Clamped = self.decimal.Clamped
with localcontext(Context()) as c:
c.prec = 7
c.Emax = 999
c.Emin = -999
x = Decimal("111")
y = Decimal("1e9999")
z = Decimal("1e-9999")
##### Unary functions
c.clear_flags()
self.assertEqual(str(x.exp(context=None)), '1.609487E+48')
self.assertTrue(c.flags[Inexact])
self.assertTrue(c.flags[Rounded])
c.clear_flags()
self.assertRaises(Overflow, y.exp, context=None)
self.assertTrue(c.flags[Overflow])
self.assertIs(z.is_normal(context=None), False)
self.assertIs(z.is_subnormal(context=None), True)
c.clear_flags()
self.assertEqual(str(x.ln(context=None)), '4.709530')
self.assertTrue(c.flags[Inexact])
self.assertTrue(c.flags[Rounded])
c.clear_flags()
self.assertRaises(InvalidOperation, Decimal(-1).ln, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
self.assertEqual(str(x.log10(context=None)), '2.045323')
self.assertTrue(c.flags[Inexact])
self.assertTrue(c.flags[Rounded])
c.clear_flags()
self.assertRaises(InvalidOperation, Decimal(-1).log10, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
self.assertEqual(str(x.logb(context=None)), '2')
self.assertRaises(DivisionByZero, Decimal(0).logb, context=None)
self.assertTrue(c.flags[DivisionByZero])
c.clear_flags()
self.assertEqual(str(x.logical_invert(context=None)), '1111000')
self.assertRaises(InvalidOperation, y.logical_invert, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
self.assertEqual(str(y.next_minus(context=None)), '9.999999E+999')
self.assertRaises(InvalidOperation, Decimal('sNaN').next_minus, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
self.assertEqual(str(y.next_plus(context=None)), 'Infinity')
self.assertRaises(InvalidOperation, Decimal('sNaN').next_plus, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
self.assertEqual(str(z.normalize(context=None)), '0')
self.assertRaises(Overflow, y.normalize, context=None)
self.assertTrue(c.flags[Overflow])
self.assertEqual(str(z.number_class(context=None)), '+Subnormal')
c.clear_flags()
self.assertEqual(str(z.sqrt(context=None)), '0E-1005')
self.assertTrue(c.flags[Clamped])
self.assertTrue(c.flags[Inexact])
self.assertTrue(c.flags[Rounded])
self.assertTrue(c.flags[Subnormal])
self.assertTrue(c.flags[Underflow])
c.clear_flags()
self.assertRaises(Overflow, y.sqrt, context=None)
self.assertTrue(c.flags[Overflow])
c.capitals = 0
self.assertEqual(str(z.to_eng_string(context=None)), '1e-9999')
c.capitals = 1
##### Binary functions
c.clear_flags()
ans = str(x.compare(Decimal('Nan891287828'), context=None))
self.assertEqual(ans, 'NaN1287828')
self.assertRaises(InvalidOperation, x.compare, Decimal('sNaN'), context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.compare_signal(8224, context=None))
self.assertEqual(ans, '-1')
self.assertRaises(InvalidOperation, x.compare_signal, Decimal('NaN'), context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.logical_and(101, context=None))
self.assertEqual(ans, '101')
self.assertRaises(InvalidOperation, x.logical_and, 123, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.logical_or(101, context=None))
self.assertEqual(ans, '111')
self.assertRaises(InvalidOperation, x.logical_or, 123, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.logical_xor(101, context=None))
self.assertEqual(ans, '10')
self.assertRaises(InvalidOperation, x.logical_xor, 123, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.max(101, context=None))
self.assertEqual(ans, '111')
self.assertRaises(InvalidOperation, x.max, Decimal('sNaN'), context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.max_mag(101, context=None))
self.assertEqual(ans, '111')
self.assertRaises(InvalidOperation, x.max_mag, Decimal('sNaN'), context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.min(101, context=None))
self.assertEqual(ans, '101')
self.assertRaises(InvalidOperation, x.min, Decimal('sNaN'), context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.min_mag(101, context=None))
self.assertEqual(ans, '101')
self.assertRaises(InvalidOperation, x.min_mag, Decimal('sNaN'), context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.remainder_near(101, context=None))
self.assertEqual(ans, '10')
self.assertRaises(InvalidOperation, y.remainder_near, 101, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.rotate(2, context=None))
self.assertEqual(ans, '11100')
self.assertRaises(InvalidOperation, x.rotate, 101, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.scaleb(7, context=None))
self.assertEqual(ans, '1.11E+9')
self.assertRaises(InvalidOperation, x.scaleb, 10000, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
ans = str(x.shift(2, context=None))
self.assertEqual(ans, '11100')
self.assertRaises(InvalidOperation, x.shift, 10000, context=None)
self.assertTrue(c.flags[InvalidOperation])
##### Ternary functions
c.clear_flags()
ans = str(x.fma(2, 3, context=None))
self.assertEqual(ans, '225')
self.assertRaises(Overflow, x.fma, Decimal('1e9999'), 3, context=None)
self.assertTrue(c.flags[Overflow])
##### Special cases
c.rounding = ROUND_HALF_EVEN
ans = str(Decimal('1.5').to_integral(rounding=None, context=None))
self.assertEqual(ans, '2')
c.rounding = ROUND_DOWN
ans = str(Decimal('1.5').to_integral(rounding=None, context=None))
self.assertEqual(ans, '1')
ans = str(Decimal('1.5').to_integral(rounding=ROUND_UP, context=None))
self.assertEqual(ans, '2')
c.clear_flags()
self.assertRaises(InvalidOperation, Decimal('sNaN').to_integral, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.rounding = ROUND_HALF_EVEN
ans = str(Decimal('1.5').to_integral_value(rounding=None, context=None))
self.assertEqual(ans, '2')
c.rounding = ROUND_DOWN
ans = str(Decimal('1.5').to_integral_value(rounding=None, context=None))
self.assertEqual(ans, '1')
ans = str(Decimal('1.5').to_integral_value(rounding=ROUND_UP, context=None))
self.assertEqual(ans, '2')
c.clear_flags()
self.assertRaises(InvalidOperation, Decimal('sNaN').to_integral_value, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.rounding = ROUND_HALF_EVEN
ans = str(Decimal('1.5').to_integral_exact(rounding=None, context=None))
self.assertEqual(ans, '2')
c.rounding = ROUND_DOWN
ans = str(Decimal('1.5').to_integral_exact(rounding=None, context=None))
self.assertEqual(ans, '1')
ans = str(Decimal('1.5').to_integral_exact(rounding=ROUND_UP, context=None))
self.assertEqual(ans, '2')
c.clear_flags()
self.assertRaises(InvalidOperation, Decimal('sNaN').to_integral_exact, context=None)
self.assertTrue(c.flags[InvalidOperation])
c.rounding = ROUND_UP
ans = str(Decimal('1.50001').quantize(exp=Decimal('1e-3'), rounding=None, context=None))
self.assertEqual(ans, '1.501')
c.rounding = ROUND_DOWN
ans = str(Decimal('1.50001').quantize(exp=Decimal('1e-3'), rounding=None, context=None))
self.assertEqual(ans, '1.500')
ans = str(Decimal('1.50001').quantize(exp=Decimal('1e-3'), rounding=ROUND_UP, context=None))
self.assertEqual(ans, '1.501')
c.clear_flags()
self.assertRaises(InvalidOperation, y.quantize, Decimal('1e-10'), rounding=ROUND_UP, context=None)
self.assertTrue(c.flags[InvalidOperation])
with localcontext(Context()) as context:
context.prec = 7
context.Emax = 999
context.Emin = -999
with localcontext(ctx=None) as c:
self.assertEqual(c.prec, 7)
self.assertEqual(c.Emax, 999)
self.assertEqual(c.Emin, -999)
def test_conversions_from_int(self):
# Check that methods taking a second Decimal argument will
# always accept an integer in place of a Decimal.
Decimal = self.decimal.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 CUsabilityTest(UsabilityTest):
decimal = C
class PyUsabilityTest(UsabilityTest):
decimal = P
class PythonAPItests(unittest.TestCase):
def test_abc(self):
Decimal = self.decimal.Decimal
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):
for proto in range(pickle.HIGHEST_PROTOCOL + 1):
Decimal = self.decimal.Decimal
savedecimal = sys.modules['decimal']
# Round trip
sys.modules['decimal'] = self.decimal
d = Decimal('-3.141590000')
p = pickle.dumps(d, proto)
e = pickle.loads(p)
self.assertEqual(d, e)
if C:
# Test interchangeability
x = C.Decimal('-3.123e81723')
y = P.Decimal('-3.123e81723')
sys.modules['decimal'] = C
sx = pickle.dumps(x, proto)
sys.modules['decimal'] = P
r = pickle.loads(sx)
self.assertIsInstance(r, P.Decimal)
self.assertEqual(r, y)
sys.modules['decimal'] = P
sy = pickle.dumps(y, proto)
sys.modules['decimal'] = C
r = pickle.loads(sy)
self.assertIsInstance(r, C.Decimal)
self.assertEqual(r, x)
x = C.Decimal('-3.123e81723').as_tuple()
y = P.Decimal('-3.123e81723').as_tuple()
sys.modules['decimal'] = C
sx = pickle.dumps(x, proto)
sys.modules['decimal'] = P
r = pickle.loads(sx)
self.assertIsInstance(r, P.DecimalTuple)
self.assertEqual(r, y)
sys.modules['decimal'] = P
sy = pickle.dumps(y, proto)
sys.modules['decimal'] = C
r = pickle.loads(sy)
self.assertIsInstance(r, C.DecimalTuple)
self.assertEqual(r, x)
sys.modules['decimal'] = savedecimal
def test_int(self):
Decimal = self.decimal.Decimal
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'))
def test_trunc(self):
Decimal = self.decimal.Decimal
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):
Decimal = self.decimal.Decimal
class MyDecimal(Decimal):
def __init__(self, _):
self.x = 'y'
self.assertTrue(issubclass(MyDecimal, Decimal))
r = MyDecimal.from_float(0.1)
self.assertEqual(type(r), MyDecimal)
self.assertEqual(str(r),
'0.1000000000000000055511151231257827021181583404541015625')
self.assertEqual(r.x, 'y')
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
Inexact = self.decimal.Inexact
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')")
def test_quantize(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
InvalidOperation = self.decimal.InvalidOperation
c = Context(Emax=99999, Emin=-99999)
self.assertEqual(
Decimal('7.335').quantize(Decimal('.01')),
Decimal('7.34')
)
self.assertEqual(
Decimal('7.335').quantize(Decimal('.01'), rounding=ROUND_DOWN),
Decimal('7.33')
)
self.assertRaises(
InvalidOperation,
Decimal("10e99999").quantize, Decimal('1e100000'), context=c
)
c = Context()
d = Decimal("0.871831e800")
x = d.quantize(context=c, exp=Decimal("1e797"), rounding=ROUND_DOWN)
self.assertEqual(x, Decimal('8.71E+799'))
def test_complex(self):
Decimal = self.decimal.Decimal
x = Decimal("9.8182731e181273")
self.assertEqual(x.real, x)
self.assertEqual(x.imag, 0)
self.assertEqual(x.conjugate(), x)
x = Decimal("1")
self.assertEqual(complex(x), complex(float(1)))
self.assertRaises(AttributeError, setattr, x, 'real', 100)
self.assertRaises(AttributeError, setattr, x, 'imag', 100)
self.assertRaises(AttributeError, setattr, x, 'conjugate', 100)
self.assertRaises(AttributeError, setattr, x, '__complex__', 100)
def test_named_parameters(self):
D = self.decimal.Decimal
Context = self.decimal.Context
localcontext = self.decimal.localcontext
InvalidOperation = self.decimal.InvalidOperation
Overflow = self.decimal.Overflow
xc = Context()
xc.prec = 1
xc.Emax = 1
xc.Emin = -1
with localcontext() as c:
c.clear_flags()
self.assertEqual(D(9, xc), 9)
self.assertEqual(D(9, context=xc), 9)
self.assertEqual(D(context=xc, value=9), 9)
self.assertEqual(D(context=xc), 0)
xc.clear_flags()
self.assertRaises(InvalidOperation, D, "xyz", context=xc)
self.assertTrue(xc.flags[InvalidOperation])
self.assertFalse(c.flags[InvalidOperation])
xc.clear_flags()
self.assertEqual(D(2).exp(context=xc), 7)
self.assertRaises(Overflow, D(8).exp, context=xc)
self.assertTrue(xc.flags[Overflow])
self.assertFalse(c.flags[Overflow])
xc.clear_flags()
self.assertEqual(D(2).ln(context=xc), D('0.7'))
self.assertRaises(InvalidOperation, D(-1).ln, context=xc)
self.assertTrue(xc.flags[InvalidOperation])
self.assertFalse(c.flags[InvalidOperation])
self.assertEqual(D(0).log10(context=xc), D('-inf'))
self.assertEqual(D(-1).next_minus(context=xc), -2)
self.assertEqual(D(-1).next_plus(context=xc), D('-0.9'))
self.assertEqual(D("9.73").normalize(context=xc), D('1E+1'))
self.assertEqual(D("9999").to_integral(context=xc), 9999)
self.assertEqual(D("-2000").to_integral_exact(context=xc), -2000)
self.assertEqual(D("123").to_integral_value(context=xc), 123)
self.assertEqual(D("0.0625").sqrt(context=xc), D('0.2'))
self.assertEqual(D("0.0625").compare(context=xc, other=3), -1)
xc.clear_flags()
self.assertRaises(InvalidOperation,
D("0").compare_signal, D('nan'), context=xc)
self.assertTrue(xc.flags[InvalidOperation])
self.assertFalse(c.flags[InvalidOperation])
self.assertEqual(D("0.01").max(D('0.0101'), context=xc), D('0.0'))
self.assertEqual(D("0.01").max(D('0.0101'), context=xc), D('0.0'))
self.assertEqual(D("0.2").max_mag(D('-0.3'), context=xc),
D('-0.3'))
self.assertEqual(D("0.02").min(D('-0.03'), context=xc), D('-0.0'))
self.assertEqual(D("0.02").min_mag(D('-0.03'), context=xc),
D('0.0'))
self.assertEqual(D("0.2").next_toward(D('-1'), context=xc), D('0.1'))
xc.clear_flags()
self.assertRaises(InvalidOperation,
D("0.2").quantize, D('1e10'), context=xc)
self.assertTrue(xc.flags[InvalidOperation])
self.assertFalse(c.flags[InvalidOperation])
self.assertEqual(D("9.99").remainder_near(D('1.5'), context=xc),
D('-0.5'))
self.assertEqual(D("9.9").fma(third=D('0.9'), context=xc, other=7),
D('7E+1'))
self.assertRaises(TypeError, D(1).is_canonical, context=xc)
self.assertRaises(TypeError, D(1).is_finite, context=xc)
self.assertRaises(TypeError, D(1).is_infinite, context=xc)
self.assertRaises(TypeError, D(1).is_nan, context=xc)
self.assertRaises(TypeError, D(1).is_qnan, context=xc)
self.assertRaises(TypeError, D(1).is_snan, context=xc)
self.assertRaises(TypeError, D(1).is_signed, context=xc)
self.assertRaises(TypeError, D(1).is_zero, context=xc)
self.assertFalse(D("0.01").is_normal(context=xc))
self.assertTrue(D("0.01").is_subnormal(context=xc))
self.assertRaises(TypeError, D(1).adjusted, context=xc)
self.assertRaises(TypeError, D(1).conjugate, context=xc)
self.assertRaises(TypeError, D(1).radix, context=xc)
self.assertEqual(D(-111).logb(context=xc), 2)
self.assertEqual(D(0).logical_invert(context=xc), 1)
self.assertEqual(D('0.01').number_class(context=xc), '+Subnormal')
self.assertEqual(D('0.21').to_eng_string(context=xc), '0.21')
self.assertEqual(D('11').logical_and(D('10'), context=xc), 0)
self.assertEqual(D('11').logical_or(D('10'), context=xc), 1)
self.assertEqual(D('01').logical_xor(D('10'), context=xc), 1)
self.assertEqual(D('23').rotate(1, context=xc), 3)
self.assertEqual(D('23').rotate(1, context=xc), 3)
xc.clear_flags()
self.assertRaises(Overflow,
D('23').scaleb, 1, context=xc)
self.assertTrue(xc.flags[Overflow])
self.assertFalse(c.flags[Overflow])
self.assertEqual(D('23').shift(-1, context=xc), 0)
self.assertRaises(TypeError, D.from_float, 1.1, context=xc)
self.assertRaises(TypeError, D(0).as_tuple, context=xc)
self.assertEqual(D(1).canonical(), 1)
self.assertRaises(TypeError, D("-1").copy_abs, context=xc)
self.assertRaises(TypeError, D("-1").copy_negate, context=xc)
self.assertRaises(TypeError, D(1).canonical, context="x")
self.assertRaises(TypeError, D(1).canonical, xyz="x")
def test_exception_hierarchy(self):
decimal = self.decimal
DecimalException = decimal.DecimalException
InvalidOperation = decimal.InvalidOperation
FloatOperation = decimal.FloatOperation
DivisionByZero = decimal.DivisionByZero
Overflow = decimal.Overflow
Underflow = decimal.Underflow
Subnormal = decimal.Subnormal
Inexact = decimal.Inexact
Rounded = decimal.Rounded
Clamped = decimal.Clamped
self.assertTrue(issubclass(DecimalException, ArithmeticError))
self.assertTrue(issubclass(InvalidOperation, DecimalException))
self.assertTrue(issubclass(FloatOperation, DecimalException))
self.assertTrue(issubclass(FloatOperation, TypeError))
self.assertTrue(issubclass(DivisionByZero, DecimalException))
self.assertTrue(issubclass(DivisionByZero, ZeroDivisionError))
self.assertTrue(issubclass(Overflow, Rounded))
self.assertTrue(issubclass(Overflow, Inexact))
self.assertTrue(issubclass(Overflow, DecimalException))
self.assertTrue(issubclass(Underflow, Inexact))
self.assertTrue(issubclass(Underflow, Rounded))
self.assertTrue(issubclass(Underflow, Subnormal))
self.assertTrue(issubclass(Underflow, DecimalException))
self.assertTrue(issubclass(Subnormal, DecimalException))
self.assertTrue(issubclass(Inexact, DecimalException))
self.assertTrue(issubclass(Rounded, DecimalException))
self.assertTrue(issubclass(Clamped, DecimalException))
self.assertTrue(issubclass(decimal.ConversionSyntax, InvalidOperation))
self.assertTrue(issubclass(decimal.DivisionImpossible, InvalidOperation))
self.assertTrue(issubclass(decimal.DivisionUndefined, InvalidOperation))
self.assertTrue(issubclass(decimal.DivisionUndefined, ZeroDivisionError))
self.assertTrue(issubclass(decimal.InvalidContext, InvalidOperation))
class CPythonAPItests(PythonAPItests):
decimal = C
class PyPythonAPItests(PythonAPItests):
decimal = P
class ContextAPItests(unittest.TestCase):
def test_none_args(self):
Context = self.decimal.Context
InvalidOperation = self.decimal.InvalidOperation
DivisionByZero = self.decimal.DivisionByZero
Overflow = self.decimal.Overflow
c1 = Context()
c2 = Context(prec=None, rounding=None, Emax=None, Emin=None,
capitals=None, clamp=None, flags=None, traps=None)
for c in [c1, c2]:
self.assertEqual(c.prec, 28)
self.assertEqual(c.rounding, ROUND_HALF_EVEN)
self.assertEqual(c.Emax, 999999)
self.assertEqual(c.Emin, -999999)
self.assertEqual(c.capitals, 1)
self.assertEqual(c.clamp, 0)
assert_signals(self, c, 'flags', [])
assert_signals(self, c, 'traps', [InvalidOperation, DivisionByZero,
Overflow])
@cpython_only
@requires_legacy_unicode_capi
@warnings_helper.ignore_warnings(category=DeprecationWarning)
def test_from_legacy_strings(self):
import _testcapi
c = self.decimal.Context()
for rnd in RoundingModes:
c.rounding = _testcapi.unicode_legacy_string(rnd)
self.assertEqual(c.rounding, rnd)
s = _testcapi.unicode_legacy_string('')
self.assertRaises(TypeError, setattr, c, 'rounding', s)
s = _testcapi.unicode_legacy_string('ROUND_\x00UP')
self.assertRaises(TypeError, setattr, c, 'rounding', s)
def test_pickle(self):
for proto in range(pickle.HIGHEST_PROTOCOL + 1):
Context = self.decimal.Context
savedecimal = sys.modules['decimal']
# Round trip
sys.modules['decimal'] = self.decimal
c = Context()
e = pickle.loads(pickle.dumps(c, proto))
self.assertEqual(c.prec, e.prec)
self.assertEqual(c.Emin, e.Emin)
self.assertEqual(c.Emax, e.Emax)
self.assertEqual(c.rounding, e.rounding)
self.assertEqual(c.capitals, e.capitals)
self.assertEqual(c.clamp, e.clamp)
self.assertEqual(c.flags, e.flags)
self.assertEqual(c.traps, e.traps)
# Test interchangeability
combinations = [(C, P), (P, C)] if C else [(P, P)]
for dumper, loader in combinations:
for ri, _ in enumerate(RoundingModes):
for fi, _ in enumerate(OrderedSignals[dumper]):
for ti, _ in enumerate(OrderedSignals[dumper]):
prec = random.randrange(1, 100)
emin = random.randrange(-100, 0)
emax = random.randrange(1, 100)
caps = random.randrange(2)
clamp = random.randrange(2)
# One module dumps
sys.modules['decimal'] = dumper
c = dumper.Context(
prec=prec, Emin=emin, Emax=emax,
rounding=RoundingModes[ri],
capitals=caps, clamp=clamp,
flags=OrderedSignals[dumper][:fi],
traps=OrderedSignals[dumper][:ti]
)
s = pickle.dumps(c, proto)
# The other module loads
sys.modules['decimal'] = loader
d = pickle.loads(s)
self.assertIsInstance(d, loader.Context)
self.assertEqual(d.prec, prec)
self.assertEqual(d.Emin, emin)
self.assertEqual(d.Emax, emax)
self.assertEqual(d.rounding, RoundingModes[ri])
self.assertEqual(d.capitals, caps)
self.assertEqual(d.clamp, clamp)
assert_signals(self, d, 'flags', OrderedSignals[loader][:fi])
assert_signals(self, d, 'traps', OrderedSignals[loader][:ti])
sys.modules['decimal'] = savedecimal
def test_equality_with_other_types(self):
Decimal = self.decimal.Decimal
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
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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))
k1 = set(c.flags.keys())
k2 = set(d.flags.keys())
self.assertEqual(k1, k2)
self.assertEqual(c.flags, d.flags)
def test__clamp(self):
# In Python 3.2, the private attribute `_clamp` was made
# public (issue 8540), with the old `_clamp` becoming a
# property wrapping `clamp`. For the duration of Python 3.2
# only, the attribute should be gettable/settable via both
# `clamp` and `_clamp`; in Python 3.3, `_clamp` should be
# removed.
Context = self.decimal.Context
c = Context()
self.assertRaises(AttributeError, getattr, c, '_clamp')
def test_abs(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
c = Context()
d = c.abs(Decimal(-1))
self.assertEqual(c.abs(-1), d)
self.assertRaises(TypeError, c.abs, '-1')
def test_add(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
c = Context()
d = c.exp(Decimal(10))
self.assertEqual(c.exp(10), d)
self.assertRaises(TypeError, c.exp, '10')
def test_fma(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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')
# Issue 12079 for Context.fma ...
self.assertRaises(TypeError, c.fma,
Decimal('Infinity'), Decimal(0), "not a decimal")
self.assertRaises(TypeError, c.fma,
Decimal(1), Decimal('snan'), 1.222)
# ... and for Decimal.fma.
self.assertRaises(TypeError, Decimal('Infinity').fma,
Decimal(0), "not a decimal")
self.assertRaises(TypeError, Decimal(1).fma,
Decimal('snan'), 1.222)
def test_is_finite(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
c = Context()
d = c.ln(Decimal(10))
self.assertEqual(c.ln(10), d)
self.assertRaises(TypeError, c.ln, '10')
def test_log10(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
c = Context()
d = c.log10(Decimal(10))
self.assertEqual(c.log10(10), d)
self.assertRaises(TypeError, c.log10, '10')
def test_logb(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
c = Context()
d = c.logb(Decimal(10))
self.assertEqual(c.logb(10), d)
self.assertRaises(TypeError, c.logb, '10')
def test_logical_and(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
c = Context()
d = c.minus(Decimal(10))
self.assertEqual(c.minus(10), d)
self.assertRaises(TypeError, c.minus, '10')
def test_multiply(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
c = Context()
d = c.normalize(Decimal(10))
self.assertEqual(c.normalize(10), d)
self.assertRaises(TypeError, c.normalize, '10')
def test_number_class(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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_plus(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
c = Context()
d = c.plus(Decimal(10))
self.assertEqual(c.plus(10), d)
self.assertRaises(TypeError, c.plus, '10')
def test_power(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
c = Context()
d = c.power(Decimal(1), Decimal(4))
self.assertEqual(c.power(1, 4), d)
self.assertEqual(c.power(Decimal(1), 4), d)
self.assertEqual(c.power(1, Decimal(4)), d)
self.assertEqual(c.power(Decimal(1), Decimal(4)), d)
self.assertRaises(TypeError, c.power, '1', 4)
self.assertRaises(TypeError, c.power, 1, '4')
self.assertEqual(c.power(modulo=5, b=8, a=2), 1)
def test_quantize(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
c = Context()
d = c.sqrt(Decimal(10))
self.assertEqual(c.sqrt(10), d)
self.assertRaises(TypeError, c.sqrt, '10')
def test_same_quantum(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
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')
self.assertRaises(TypeError, c.to_integral_value, 10, 'x')
class CContextAPItests(ContextAPItests):
decimal = C
class PyContextAPItests(ContextAPItests):
decimal = P
class ContextWithStatement(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
getcontext = self.decimal.getcontext
localcontext = self.decimal.localcontext
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
Context = self.decimal.Context
getcontext = self.decimal.getcontext
localcontext = self.decimal.localcontext
localcontext = self.decimal.localcontext
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')
def test_nested_with_statements(self):
# Use a copy of the supplied context in the block
Decimal = self.decimal.Decimal
Context = self.decimal.Context
getcontext = self.decimal.getcontext
localcontext = self.decimal.localcontext
Clamped = self.decimal.Clamped
Overflow = self.decimal.Overflow
orig_ctx = getcontext()
orig_ctx.clear_flags()
new_ctx = Context(Emax=384)
with localcontext() as c1:
self.assertEqual(c1.flags, orig_ctx.flags)
self.assertEqual(c1.traps, orig_ctx.traps)
c1.traps[Clamped] = True
c1.Emin = -383
self.assertNotEqual(orig_ctx.Emin, -383)
self.assertRaises(Clamped, c1.create_decimal, '0e-999')
self.assertTrue(c1.flags[Clamped])
with localcontext(new_ctx) as c2:
self.assertEqual(c2.flags, new_ctx.flags)
self.assertEqual(c2.traps, new_ctx.traps)
self.assertRaises(Overflow, c2.power, Decimal('3.4e200'), 2)
self.assertFalse(c2.flags[Clamped])
self.assertTrue(c2.flags[Overflow])
del c2
self.assertFalse(c1.flags[Overflow])
del c1
self.assertNotEqual(orig_ctx.Emin, -383)
self.assertFalse(orig_ctx.flags[Clamped])
self.assertFalse(orig_ctx.flags[Overflow])
self.assertFalse(new_ctx.flags[Clamped])
self.assertFalse(new_ctx.flags[Overflow])
def test_with_statements_gc1(self):
localcontext = self.decimal.localcontext
with localcontext() as c1:
del c1
with localcontext() as c2:
del c2
with localcontext() as c3:
del c3
with localcontext() as c4:
del c4
def test_with_statements_gc2(self):
localcontext = self.decimal.localcontext
with localcontext() as c1:
with localcontext(c1) as c2:
del c1
with localcontext(c2) as c3:
del c2
with localcontext(c3) as c4:
del c3
del c4
def test_with_statements_gc3(self):
Context = self.decimal.Context
localcontext = self.decimal.localcontext
getcontext = self.decimal.getcontext
setcontext = self.decimal.setcontext
with localcontext() as c1:
del c1
n1 = Context(prec=1)
setcontext(n1)
with localcontext(n1) as c2:
del n1
self.assertEqual(c2.prec, 1)
del c2
n2 = Context(prec=2)
setcontext(n2)
del n2
self.assertEqual(getcontext().prec, 2)
n3 = Context(prec=3)
setcontext(n3)
self.assertEqual(getcontext().prec, 3)
with localcontext(n3) as c3:
del n3
self.assertEqual(c3.prec, 3)
del c3
n4 = Context(prec=4)
setcontext(n4)
del n4
self.assertEqual(getcontext().prec, 4)
with localcontext() as c4:
self.assertEqual(c4.prec, 4)
del c4
class CContextWithStatement(ContextWithStatement):
decimal = C
class PyContextWithStatement(ContextWithStatement):
decimal = P
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
Decimal = self.decimal.Decimal
Context = self.decimal.Context
Inexact = self.decimal.Inexact
Rounded = self.decimal.Rounded
Underflow = self.decimal.Underflow
Clamped = self.decimal.Clamped
Subnormal = self.decimal.Subnormal
def raise_error(context, flag):
if self.decimal == C:
context.flags[flag] = True
if context.traps[flag]:
raise flag
else:
context._raise_error(flag)
context = Context(prec=9, Emin = -425000000, Emax = 425000000,
rounding=ROUND_HALF_EVEN, traps=[], flags=[])
# operations that raise various flags, in the form (function, arglist)
operations = [
(context._apply, [Decimal("100E-425000010")]),
(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:
raise_error(context, 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(key=id)
# flags we actually got
new_flags = [k for k,v in context.flags.items() if v]
new_flags.sort(key=id)
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_flag_comparisons(self):
Context = self.decimal.Context
Inexact = self.decimal.Inexact
Rounded = self.decimal.Rounded
c = Context()
# Valid SignalDict
self.assertNotEqual(c.flags, c.traps)
self.assertNotEqual(c.traps, c.flags)
c.flags = c.traps
self.assertEqual(c.flags, c.traps)
self.assertEqual(c.traps, c.flags)
c.flags[Rounded] = True
c.traps = c.flags
self.assertEqual(c.flags, c.traps)
self.assertEqual(c.traps, c.flags)
d = {}
d.update(c.flags)
self.assertEqual(d, c.flags)
self.assertEqual(c.flags, d)
d[Inexact] = True
self.assertNotEqual(d, c.flags)
self.assertNotEqual(c.flags, d)
# Invalid SignalDict
d = {Inexact:False}
self.assertNotEqual(d, c.flags)
self.assertNotEqual(c.flags, d)
d = ["xyz"]
self.assertNotEqual(d, c.flags)
self.assertNotEqual(c.flags, d)
@requires_IEEE_754
def test_float_operation(self):
Decimal = self.decimal.Decimal
FloatOperation = self.decimal.FloatOperation
localcontext = self.decimal.localcontext
with localcontext() as c:
##### trap is off by default
self.assertFalse(c.traps[FloatOperation])
# implicit conversion sets the flag
c.clear_flags()
self.assertEqual(Decimal(7.5), 7.5)
self.assertTrue(c.flags[FloatOperation])
c.clear_flags()
self.assertEqual(c.create_decimal(7.5), 7.5)
self.assertTrue(c.flags[FloatOperation])
# explicit conversion does not set the flag
c.clear_flags()
x = Decimal.from_float(7.5)
self.assertFalse(c.flags[FloatOperation])
# comparison sets the flag
self.assertEqual(x, 7.5)
self.assertTrue(c.flags[FloatOperation])
c.clear_flags()
x = c.create_decimal_from_float(7.5)
self.assertFalse(c.flags[FloatOperation])
self.assertEqual(x, 7.5)
self.assertTrue(c.flags[FloatOperation])
##### set the trap
c.traps[FloatOperation] = True
# implicit conversion raises
c.clear_flags()
self.assertRaises(FloatOperation, Decimal, 7.5)
self.assertTrue(c.flags[FloatOperation])
c.clear_flags()
self.assertRaises(FloatOperation, c.create_decimal, 7.5)
self.assertTrue(c.flags[FloatOperation])
# explicit conversion is silent
c.clear_flags()
x = Decimal.from_float(7.5)
self.assertFalse(c.flags[FloatOperation])
c.clear_flags()
x = c.create_decimal_from_float(7.5)
self.assertFalse(c.flags[FloatOperation])
def test_float_comparison(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
FloatOperation = self.decimal.FloatOperation
localcontext = self.decimal.localcontext
def assert_attr(a, b, attr, context, signal=None):
context.clear_flags()
f = getattr(a, attr)
if signal == FloatOperation:
self.assertRaises(signal, f, b)
else:
self.assertIs(f(b), True)
self.assertTrue(context.flags[FloatOperation])
small_d = Decimal('0.25')
big_d = Decimal('3.0')
small_f = 0.25
big_f = 3.0
zero_d = Decimal('0.0')
neg_zero_d = Decimal('-0.0')
zero_f = 0.0
neg_zero_f = -0.0
inf_d = Decimal('Infinity')
neg_inf_d = Decimal('-Infinity')
inf_f = float('inf')
neg_inf_f = float('-inf')
def doit(c, signal=None):
# Order
for attr in '__lt__', '__le__':
assert_attr(small_d, big_f, attr, c, signal)
for attr in '__gt__', '__ge__':
assert_attr(big_d, small_f, attr, c, signal)
# Equality
assert_attr(small_d, small_f, '__eq__', c, None)
assert_attr(neg_zero_d, neg_zero_f, '__eq__', c, None)
assert_attr(neg_zero_d, zero_f, '__eq__', c, None)
assert_attr(zero_d, neg_zero_f, '__eq__', c, None)
assert_attr(zero_d, zero_f, '__eq__', c, None)
assert_attr(neg_inf_d, neg_inf_f, '__eq__', c, None)
assert_attr(inf_d, inf_f, '__eq__', c, None)
# Inequality
assert_attr(small_d, big_f, '__ne__', c, None)
assert_attr(Decimal('0.1'), 0.1, '__ne__', c, None)
assert_attr(neg_inf_d, inf_f, '__ne__', c, None)
assert_attr(inf_d, neg_inf_f, '__ne__', c, None)
assert_attr(Decimal('NaN'), float('nan'), '__ne__', c, None)
def test_containers(c, signal=None):
c.clear_flags()
s = set([100.0, Decimal('100.0')])
self.assertEqual(len(s), 1)
self.assertTrue(c.flags[FloatOperation])
c.clear_flags()
if signal:
self.assertRaises(signal, sorted, [1.0, Decimal('10.0')])
else:
s = sorted([10.0, Decimal('10.0')])
self.assertTrue(c.flags[FloatOperation])
c.clear_flags()
b = 10.0 in [Decimal('10.0'), 1.0]
self.assertTrue(c.flags[FloatOperation])
c.clear_flags()
b = 10.0 in {Decimal('10.0'):'a', 1.0:'b'}
self.assertTrue(c.flags[FloatOperation])
nc = Context()
with localcontext(nc) as c:
self.assertFalse(c.traps[FloatOperation])
doit(c, signal=None)
test_containers(c, signal=None)
c.traps[FloatOperation] = True
doit(c, signal=FloatOperation)
test_containers(c, signal=FloatOperation)
def test_float_operation_default(self):
Decimal = self.decimal.Decimal
Context = self.decimal.Context
Inexact = self.decimal.Inexact
FloatOperation= self.decimal.FloatOperation
context = Context()
self.assertFalse(context.flags[FloatOperation])
self.assertFalse(context.traps[FloatOperation])
context.clear_traps()
context.traps[Inexact] = True
context.traps[FloatOperation] = True
self.assertTrue(context.traps[FloatOperation])
self.assertTrue(context.traps[Inexact])
class CContextFlags(ContextFlags):
decimal = C
class PyContextFlags(ContextFlags):
decimal = P
class SpecialContexts(unittest.TestCase):
"""Test the context templates."""
def test_context_templates(self):
BasicContext = self.decimal.BasicContext
ExtendedContext = self.decimal.ExtendedContext
getcontext = self.decimal.getcontext
setcontext = self.decimal.setcontext
InvalidOperation = self.decimal.InvalidOperation
DivisionByZero = self.decimal.DivisionByZero
Overflow = self.decimal.Overflow
Underflow = self.decimal.Underflow
Clamped = self.decimal.Clamped
assert_signals(self, BasicContext, 'traps',
[InvalidOperation, DivisionByZero, Overflow, Underflow, Clamped]
)
savecontext = getcontext().copy()
basic_context_prec = BasicContext.prec
extended_context_prec = ExtendedContext.prec
ex = None
try:
BasicContext.prec = ExtendedContext.prec = 441
for template in BasicContext, ExtendedContext:
setcontext(template)
c = getcontext()
self.assertIsNot(c, template)
self.assertEqual(c.prec, 441)
except Exception as e:
ex = e.__class__
finally:
BasicContext.prec = basic_context_prec
ExtendedContext.prec = extended_context_prec
setcontext(savecontext)
if ex:
raise ex
def test_default_context(self):
DefaultContext = self.decimal.DefaultContext
BasicContext = self.decimal.BasicContext
ExtendedContext = self.decimal.ExtendedContext
getcontext = self.decimal.getcontext
setcontext = self.decimal.setcontext
InvalidOperation = self.decimal.InvalidOperation
DivisionByZero = self.decimal.DivisionByZero
Overflow = self.decimal.Overflow
self.assertEqual(BasicContext.prec, 9)
self.assertEqual(ExtendedContext.prec, 9)
assert_signals(self, DefaultContext, 'traps',
[InvalidOperation, DivisionByZero, Overflow]
)
savecontext = getcontext().copy()
default_context_prec = DefaultContext.prec
ex = None
try:
c = getcontext()
saveprec = c.prec
DefaultContext.prec = 961
c = getcontext()
self.assertEqual(c.prec, saveprec)
setcontext(DefaultContext)
c = getcontext()
self.assertIsNot(c, DefaultContext)
self.assertEqual(c.prec, 961)
except Exception as e:
ex = e.__class__
finally:
DefaultContext.prec = default_context_prec
setcontext(savecontext)
if ex:
raise ex
class CSpecialContexts(SpecialContexts):
decimal = C
class PySpecialContexts(SpecialContexts):
decimal = P
class ContextInputValidation(unittest.TestCase):
def test_invalid_context(self):
Context = self.decimal.Context
DefaultContext = self.decimal.DefaultContext
c = DefaultContext.copy()
# prec, Emax
for attr in ['prec', 'Emax']:
setattr(c, attr, 999999)
self.assertEqual(getattr(c, attr), 999999)
self.assertRaises(ValueError, setattr, c, attr, -1)
self.assertRaises(TypeError, setattr, c, attr, 'xyz')
# Emin
setattr(c, 'Emin', -999999)
self.assertEqual(getattr(c, 'Emin'), -999999)
self.assertRaises(ValueError, setattr, c, 'Emin', 1)
self.assertRaises(TypeError, setattr, c, 'Emin', (1,2,3))
self.assertRaises(TypeError, setattr, c, 'rounding', -1)
self.assertRaises(TypeError, setattr, c, 'rounding', 9)
self.assertRaises(TypeError, setattr, c, 'rounding', 1.0)
self.assertRaises(TypeError, setattr, c, 'rounding', 'xyz')
# capitals, clamp
for attr in ['capitals', 'clamp']:
self.assertRaises(ValueError, setattr, c, attr, -1)
self.assertRaises(ValueError, setattr, c, attr, 2)
self.assertRaises(TypeError, setattr, c, attr, [1,2,3])
# Invalid attribute
self.assertRaises(AttributeError, setattr, c, 'emax', 100)
# Invalid signal dict
self.assertRaises(TypeError, setattr, c, 'flags', [])
self.assertRaises(KeyError, setattr, c, 'flags', {})
self.assertRaises(KeyError, setattr, c, 'traps',
{'InvalidOperation':0})
# Attributes cannot be deleted
for attr in ['prec', 'Emax', 'Emin', 'rounding', 'capitals', 'clamp',
'flags', 'traps']:
self.assertRaises(AttributeError, c.__delattr__, attr)
# Invalid attributes
self.assertRaises(TypeError, getattr, c, 9)
self.assertRaises(TypeError, setattr, c, 9)
# Invalid values in constructor
self.assertRaises(TypeError, Context, rounding=999999)
self.assertRaises(TypeError, Context, rounding='xyz')
self.assertRaises(ValueError, Context, clamp=2)
self.assertRaises(ValueError, Context, capitals=-1)
self.assertRaises(KeyError, Context, flags=["P"])
self.assertRaises(KeyError, Context, traps=["Q"])
# Type error in conversion
self.assertRaises(TypeError, Context, flags=(0,1))
self.assertRaises(TypeError, Context, traps=(1,0))
class CContextInputValidation(ContextInputValidation):
decimal = C
class PyContextInputValidation(ContextInputValidation):
decimal = P
class ContextSubclassing(unittest.TestCase):
def test_context_subclassing(self):
decimal = self.decimal
Decimal = decimal.Decimal
Context = decimal.Context
Clamped = decimal.Clamped
DivisionByZero = decimal.DivisionByZero
Inexact = decimal.Inexact
Overflow = decimal.Overflow
Rounded = decimal.Rounded
Subnormal = decimal.Subnormal
Underflow = decimal.Underflow
InvalidOperation = decimal.InvalidOperation
class MyContext(Context):
def __init__(self, prec=None, rounding=None, Emin=None, Emax=None,
capitals=None, clamp=None, flags=None,
traps=None):
Context.__init__(self)
if prec is not None:
self.prec = prec
if rounding is not None:
self.rounding = rounding
if Emin is not None:
self.Emin = Emin
if Emax is not None:
self.Emax = Emax
if capitals is not None:
self.capitals = capitals
if clamp is not None:
self.clamp = clamp
if flags is not None:
if isinstance(flags, list):
flags = {v:(v in flags) for v in OrderedSignals[decimal] + flags}
self.flags = flags
if traps is not None:
if isinstance(traps, list):
traps = {v:(v in traps) for v in OrderedSignals[decimal] + traps}
self.traps = traps
c = Context()
d = MyContext()
for attr in ('prec', 'rounding', 'Emin', 'Emax', 'capitals', 'clamp',
'flags', 'traps'):
self.assertEqual(getattr(c, attr), getattr(d, attr))
# prec
self.assertRaises(ValueError, MyContext, **{'prec':-1})
c = MyContext(prec=1)
self.assertEqual(c.prec, 1)
self.assertRaises(InvalidOperation, c.quantize, Decimal('9e2'), 0)
# rounding
self.assertRaises(TypeError, MyContext, **{'rounding':'XYZ'})
c = MyContext(rounding=ROUND_DOWN, prec=1)
self.assertEqual(c.rounding, ROUND_DOWN)
self.assertEqual(c.plus(Decimal('9.9')), 9)
# Emin
self.assertRaises(ValueError, MyContext, **{'Emin':5})
c = MyContext(Emin=-1, prec=1)
self.assertEqual(c.Emin, -1)
x = c.add(Decimal('1e-99'), Decimal('2.234e-2000'))
self.assertEqual(x, Decimal('0.0'))
for signal in (Inexact, Underflow, Subnormal, Rounded, Clamped):
self.assertTrue(c.flags[signal])
# Emax
self.assertRaises(ValueError, MyContext, **{'Emax':-1})
c = MyContext(Emax=1, prec=1)
self.assertEqual(c.Emax, 1)
self.assertRaises(Overflow, c.add, Decimal('1e99'), Decimal('2.234e2000'))
if self.decimal == C:
for signal in (Inexact, Overflow, Rounded):
self.assertTrue(c.flags[signal])
# capitals
self.assertRaises(ValueError, MyContext, **{'capitals':-1})
c = MyContext(capitals=0)
self.assertEqual(c.capitals, 0)
x = c.create_decimal('1E222')
self.assertEqual(c.to_sci_string(x), '1e+222')
# clamp
self.assertRaises(ValueError, MyContext, **{'clamp':2})
c = MyContext(clamp=1, Emax=99)
self.assertEqual(c.clamp, 1)
x = c.plus(Decimal('1e99'))
self.assertEqual(str(x), '1.000000000000000000000000000E+99')
# flags
self.assertRaises(TypeError, MyContext, **{'flags':'XYZ'})
c = MyContext(flags=[Rounded, DivisionByZero])
for signal in (Rounded, DivisionByZero):
self.assertTrue(c.flags[signal])
c.clear_flags()
for signal in OrderedSignals[decimal]:
self.assertFalse(c.flags[signal])
# traps
self.assertRaises(TypeError, MyContext, **{'traps':'XYZ'})
c = MyContext(traps=[Rounded, DivisionByZero])
for signal in (Rounded, DivisionByZero):
self.assertTrue(c.traps[signal])
c.clear_traps()
for signal in OrderedSignals[decimal]:
self.assertFalse(c.traps[signal])
class CContextSubclassing(ContextSubclassing):
decimal = C
class PyContextSubclassing(ContextSubclassing):
decimal = P
@skip_if_extra_functionality
class CheckAttributes(unittest.TestCase):
def test_module_attributes(self):
# Architecture dependent context limits
self.assertEqual(C.MAX_PREC, P.MAX_PREC)
self.assertEqual(C.MAX_EMAX, P.MAX_EMAX)
self.assertEqual(C.MIN_EMIN, P.MIN_EMIN)
self.assertEqual(C.MIN_ETINY, P.MIN_ETINY)
self.assertTrue(C.HAVE_THREADS is True or C.HAVE_THREADS is False)
self.assertTrue(P.HAVE_THREADS is True or P.HAVE_THREADS is False)
self.assertEqual(C.__version__, P.__version__)
self.assertEqual(dir(C), dir(P))
def test_context_attributes(self):
x = [s for s in dir(C.Context()) if '__' in s or not s.startswith('_')]
y = [s for s in dir(P.Context()) if '__' in s or not s.startswith('_')]
self.assertEqual(set(x) - set(y), set())
def test_decimal_attributes(self):
x = [s for s in dir(C.Decimal(9)) if '__' in s or not s.startswith('_')]
y = [s for s in dir(C.Decimal(9)) if '__' in s or not s.startswith('_')]
self.assertEqual(set(x) - set(y), set())
class Coverage(unittest.TestCase):
def test_adjusted(self):
Decimal = self.decimal.Decimal
self.assertEqual(Decimal('1234e9999').adjusted(), 10002)
# XXX raise?
self.assertEqual(Decimal('nan').adjusted(), 0)
self.assertEqual(Decimal('inf').adjusted(), 0)
def test_canonical(self):
Decimal = self.decimal.Decimal
getcontext = self.decimal.getcontext
x = Decimal(9).canonical()
self.assertEqual(x, 9)
c = getcontext()
x = c.canonical(Decimal(9))
self.assertEqual(x, 9)
def test_context_repr(self):
c = self.decimal.DefaultContext.copy()
c.prec = 425000000
c.Emax = 425000000
c.Emin = -425000000
c.rounding = ROUND_HALF_DOWN
c.capitals = 0
c.clamp = 1
for sig in OrderedSignals[self.decimal]:
c.flags[sig] = False
c.traps[sig] = False
s = c.__repr__()
t = "Context(prec=425000000, rounding=ROUND_HALF_DOWN, " \
"Emin=-425000000, Emax=425000000, capitals=0, clamp=1, " \
"flags=[], traps=[])"
self.assertEqual(s, t)
def test_implicit_context(self):
Decimal = self.decimal.Decimal
localcontext = self.decimal.localcontext
with localcontext() as c:
c.prec = 1
c.Emax = 1
c.Emin = -1
# abs
self.assertEqual(abs(Decimal("-10")), 10)
# add
self.assertEqual(Decimal("7") + 1, 8)
# divide
self.assertEqual(Decimal("10") / 5, 2)
# divide_int
self.assertEqual(Decimal("10") // 7, 1)
# fma
self.assertEqual(Decimal("1.2").fma(Decimal("0.01"), 1), 1)
self.assertIs(Decimal("NaN").fma(7, 1).is_nan(), True)
# three arg power
self.assertEqual(pow(Decimal(10), 2, 7), 2)
# exp
self.assertEqual(Decimal("1.01").exp(), 3)
# is_normal
self.assertIs(Decimal("0.01").is_normal(), False)
# is_subnormal
self.assertIs(Decimal("0.01").is_subnormal(), True)
# ln
self.assertEqual(Decimal("20").ln(), 3)
# log10
self.assertEqual(Decimal("20").log10(), 1)
# logb
self.assertEqual(Decimal("580").logb(), 2)
# logical_invert
self.assertEqual(Decimal("10").logical_invert(), 1)
# minus
self.assertEqual(-Decimal("-10"), 10)
# multiply
self.assertEqual(Decimal("2") * 4, 8)
# next_minus
self.assertEqual(Decimal("10").next_minus(), 9)
# next_plus
self.assertEqual(Decimal("10").next_plus(), Decimal('2E+1'))
# normalize
self.assertEqual(Decimal("-10").normalize(), Decimal('-1E+1'))
# number_class
self.assertEqual(Decimal("10").number_class(), '+Normal')
# plus
self.assertEqual(+Decimal("-1"), -1)
# remainder
self.assertEqual(Decimal("10") % 7, 3)
# subtract
self.assertEqual(Decimal("10") - 7, 3)
# to_integral_exact
self.assertEqual(Decimal("1.12345").to_integral_exact(), 1)
# Boolean functions
self.assertTrue(Decimal("1").is_canonical())
self.assertTrue(Decimal("1").is_finite())
self.assertTrue(Decimal("1").is_finite())
self.assertTrue(Decimal("snan").is_snan())
self.assertTrue(Decimal("-1").is_signed())
self.assertTrue(Decimal("0").is_zero())
self.assertTrue(Decimal("0").is_zero())
# Copy
with localcontext() as c:
c.prec = 10000
x = 1228 ** 1523
y = -Decimal(x)
z = y.copy_abs()
self.assertEqual(z, x)
z = y.copy_negate()
self.assertEqual(z, x)
z = y.copy_sign(Decimal(1))
self.assertEqual(z, x)
def test_divmod(self):
Decimal = self.decimal.Decimal
localcontext = self.decimal.localcontext
InvalidOperation = self.decimal.InvalidOperation
DivisionByZero = self.decimal.DivisionByZero
with localcontext() as c:
q, r = divmod(Decimal("10912837129"), 1001)
self.assertEqual(q, Decimal('10901935'))
self.assertEqual(r, Decimal('194'))
q, r = divmod(Decimal("NaN"), 7)
self.assertTrue(q.is_nan() and r.is_nan())
c.traps[InvalidOperation] = False
q, r = divmod(Decimal("NaN"), 7)
self.assertTrue(q.is_nan() and r.is_nan())
c.traps[InvalidOperation] = False
c.clear_flags()
q, r = divmod(Decimal("inf"), Decimal("inf"))
self.assertTrue(q.is_nan() and r.is_nan())
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
q, r = divmod(Decimal("inf"), 101)
self.assertTrue(q.is_infinite() and r.is_nan())
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
q, r = divmod(Decimal(0), 0)
self.assertTrue(q.is_nan() and r.is_nan())
self.assertTrue(c.flags[InvalidOperation])
c.traps[DivisionByZero] = False
c.clear_flags()
q, r = divmod(Decimal(11), 0)
self.assertTrue(q.is_infinite() and r.is_nan())
self.assertTrue(c.flags[InvalidOperation] and
c.flags[DivisionByZero])
def test_power(self):
Decimal = self.decimal.Decimal
localcontext = self.decimal.localcontext
Overflow = self.decimal.Overflow
Rounded = self.decimal.Rounded
with localcontext() as c:
c.prec = 3
c.clear_flags()
self.assertEqual(Decimal("1.0") ** 100, Decimal('1.00'))
self.assertTrue(c.flags[Rounded])
c.prec = 1
c.Emax = 1
c.Emin = -1
c.clear_flags()
c.traps[Overflow] = False
self.assertEqual(Decimal(10000) ** Decimal("0.5"), Decimal('inf'))
self.assertTrue(c.flags[Overflow])
def test_quantize(self):
Decimal = self.decimal.Decimal
localcontext = self.decimal.localcontext
InvalidOperation = self.decimal.InvalidOperation
with localcontext() as c:
c.prec = 1
c.Emax = 1
c.Emin = -1
c.traps[InvalidOperation] = False
x = Decimal(99).quantize(Decimal("1e1"))
self.assertTrue(x.is_nan())
def test_radix(self):
Decimal = self.decimal.Decimal
getcontext = self.decimal.getcontext
c = getcontext()
self.assertEqual(Decimal("1").radix(), 10)
self.assertEqual(c.radix(), 10)
def test_rop(self):
Decimal = self.decimal.Decimal
for attr in ('__radd__', '__rsub__', '__rmul__', '__rtruediv__',
'__rdivmod__', '__rmod__', '__rfloordiv__', '__rpow__'):
self.assertIs(getattr(Decimal("1"), attr)("xyz"), NotImplemented)
def test_round(self):
# Python3 behavior: round() returns Decimal
Decimal = self.decimal.Decimal
localcontext = self.decimal.localcontext
with localcontext() as c:
c.prec = 28
self.assertEqual(str(Decimal("9.99").__round__()), "10")
self.assertEqual(str(Decimal("9.99e-5").__round__()), "0")
self.assertEqual(str(Decimal("1.23456789").__round__(5)), "1.23457")
self.assertEqual(str(Decimal("1.2345").__round__(10)), "1.2345000000")
self.assertEqual(str(Decimal("1.2345").__round__(-10)), "0E+10")
self.assertRaises(TypeError, Decimal("1.23").__round__, "5")
self.assertRaises(TypeError, Decimal("1.23").__round__, 5, 8)
def test_create_decimal(self):
c = self.decimal.Context()
self.assertRaises(ValueError, c.create_decimal, ["%"])
def test_int(self):
Decimal = self.decimal.Decimal
localcontext = self.decimal.localcontext
with localcontext() as c:
c.prec = 9999
x = Decimal(1221**1271) / 10**3923
self.assertEqual(int(x), 1)
self.assertEqual(x.to_integral(), 2)
def test_copy(self):
Context = self.decimal.Context
c = Context()
c.prec = 10000
x = -(1172 ** 1712)
y = c.copy_abs(x)
self.assertEqual(y, -x)
y = c.copy_negate(x)
self.assertEqual(y, -x)
y = c.copy_sign(x, 1)
self.assertEqual(y, -x)
class CCoverage(Coverage):
decimal = C
class PyCoverage(Coverage):
decimal = P
class PyFunctionality(unittest.TestCase):
"""Extra functionality in decimal.py"""
def test_py_alternate_formatting(self):
# triples giving a format, a Decimal, and the expected result
Decimal = P.Decimal
localcontext = P.localcontext
test_values = [
# Issue 7094: Alternate formatting (specified by #)
('.0e', '1.0', '1e+0'),
('#.0e', '1.0', '1.e+0'),
('.0f', '1.0', '1'),
('#.0f', '1.0', '1.'),
('g', '1.1', '1.1'),
('#g', '1.1', '1.1'),
('.0g', '1', '1'),
('#.0g', '1', '1.'),
('.0%', '1.0', '100%'),
('#.0%', '1.0', '100.%'),
]
for fmt, d, result in test_values:
self.assertEqual(format(Decimal(d), fmt), result)
class PyWhitebox(unittest.TestCase):
"""White box testing for decimal.py"""
def test_py_exact_power(self):
# Rarely exercised lines in _power_exact.
Decimal = P.Decimal
localcontext = P.localcontext
with localcontext() as c:
c.prec = 8
x = Decimal(2**16) ** Decimal("-0.5")
self.assertEqual(x, Decimal('0.00390625'))
x = Decimal(2**16) ** Decimal("-0.6")
self.assertEqual(x, Decimal('0.0012885819'))
x = Decimal("256e7") ** Decimal("-0.5")
x = Decimal(152587890625) ** Decimal('-0.0625')
self.assertEqual(x, Decimal("0.2"))
x = Decimal("152587890625e7") ** Decimal('-0.0625')
x = Decimal(5**2659) ** Decimal('-0.0625')
c.prec = 1
x = Decimal("152587890625") ** Decimal('-0.5')
c.prec = 201
x = Decimal(2**578) ** Decimal("-0.5")
def test_py_immutability_operations(self):
# Do operations and check that it didn't change internal objects.
Decimal = P.Decimal
DefaultContext = P.DefaultContext
setcontext = P.setcontext
c = DefaultContext.copy()
c.traps = dict((s, 0) for s in OrderedSignals[P])
setcontext(c)
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)
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("__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("__mod__", True)
checkSameDec("__mul__", True)
checkSameDec("__neg__")
checkSameDec("__bool__")
checkSameDec("__pos__")
checkSameDec("__pow__", True)
checkSameDec("__radd__", 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_py_decimal_id(self):
Decimal = P.Decimal
d = Decimal(45)
e = Decimal(d)
self.assertEqual(str(e), '45')
self.assertNotEqual(id(d), id(e))
def test_py_rescale(self):
# Coverage
Decimal = P.Decimal
localcontext = P.localcontext
with localcontext() as c:
x = Decimal("NaN")._rescale(3, ROUND_UP)
self.assertTrue(x.is_nan())
def test_py__round(self):
# Coverage
Decimal = P.Decimal
self.assertRaises(ValueError, Decimal("3.1234")._round, 0, ROUND_UP)
class CFunctionality(unittest.TestCase):
"""Extra functionality in _decimal"""
@requires_extra_functionality
def test_c_ieee_context(self):
# issue 8786: Add support for IEEE 754 contexts to decimal module.
IEEEContext = C.IEEEContext
DECIMAL32 = C.DECIMAL32
DECIMAL64 = C.DECIMAL64
DECIMAL128 = C.DECIMAL128
def assert_rest(self, context):
self.assertEqual(context.clamp, 1)
assert_signals(self, context, 'traps', [])
assert_signals(self, context, 'flags', [])
c = IEEEContext(DECIMAL32)
self.assertEqual(c.prec, 7)
self.assertEqual(c.Emax, 96)
self.assertEqual(c.Emin, -95)
assert_rest(self, c)
c = IEEEContext(DECIMAL64)
self.assertEqual(c.prec, 16)
self.assertEqual(c.Emax, 384)
self.assertEqual(c.Emin, -383)
assert_rest(self, c)
c = IEEEContext(DECIMAL128)
self.assertEqual(c.prec, 34)
self.assertEqual(c.Emax, 6144)
self.assertEqual(c.Emin, -6143)
assert_rest(self, c)
# Invalid values
self.assertRaises(OverflowError, IEEEContext, 2**63)
self.assertRaises(ValueError, IEEEContext, -1)
self.assertRaises(ValueError, IEEEContext, 1024)
@requires_extra_functionality
def test_c_context(self):
Context = C.Context
c = Context(flags=C.DecClamped, traps=C.DecRounded)
self.assertEqual(c._flags, C.DecClamped)
self.assertEqual(c._traps, C.DecRounded)
@requires_extra_functionality
def test_constants(self):
# Condition flags
cond = (
C.DecClamped, C.DecConversionSyntax, C.DecDivisionByZero,
C.DecDivisionImpossible, C.DecDivisionUndefined,
C.DecFpuError, C.DecInexact, C.DecInvalidContext,
C.DecInvalidOperation, C.DecMallocError,
C.DecFloatOperation, C.DecOverflow, C.DecRounded,
C.DecSubnormal, C.DecUnderflow
)
# IEEEContext
self.assertEqual(C.DECIMAL32, 32)
self.assertEqual(C.DECIMAL64, 64)
self.assertEqual(C.DECIMAL128, 128)
self.assertEqual(C.IEEE_CONTEXT_MAX_BITS, 512)
# Conditions
for i, v in enumerate(cond):
self.assertEqual(v, 1<<i)
self.assertEqual(C.DecIEEEInvalidOperation,
C.DecConversionSyntax|
C.DecDivisionImpossible|
C.DecDivisionUndefined|
C.DecFpuError|
C.DecInvalidContext|
C.DecInvalidOperation|
C.DecMallocError)
self.assertEqual(C.DecErrors,
C.DecIEEEInvalidOperation|
C.DecDivisionByZero)
self.assertEqual(C.DecTraps,
C.DecErrors|C.DecOverflow|C.DecUnderflow)
def test_decimal_api_predicates(self):
# Capsule API
d = C.Decimal("0")
self.assertFalse(decimal_is_special(d))
self.assertFalse(decimal_is_nan(d))
self.assertFalse(decimal_is_infinite(d))
d = C.Decimal("NaN")
self.assertTrue(decimal_is_special(d))
self.assertTrue(decimal_is_nan(d))
self.assertFalse(decimal_is_infinite(d))
d = C.Decimal("sNaN")
self.assertTrue(decimal_is_special(d))
self.assertTrue(decimal_is_nan(d))
self.assertFalse(decimal_is_infinite(d))
d = C.Decimal("inf")
self.assertTrue(decimal_is_special(d))
self.assertFalse(decimal_is_nan(d))
self.assertTrue(decimal_is_infinite(d))
def test_decimal_api_get_digits(self):
# Capsule API
d = C.Decimal("0")
self.assertEqual(decimal_get_digits(d), 1)
d = C.Decimal("1234567890")
self.assertEqual(decimal_get_digits(d), 10)
d = C.Decimal("inf")
self.assertEqual(decimal_get_digits(d), 0)
d = C.Decimal("NaN")
self.assertEqual(decimal_get_digits(d), 0)
d = C.Decimal("sNaN")
self.assertEqual(decimal_get_digits(d), 0)
d = C.Decimal("NaN1234567890")
self.assertEqual(decimal_get_digits(d), 10)
d = C.Decimal("sNaN1234567890")
self.assertEqual(decimal_get_digits(d), 10)
def test_decimal_api_triple(self):
# Capsule API
def as_triple(d):
"""Convert a decimal to a decimal triple with a split uint128_t
coefficient:
(sign, hi, lo, exp)
It is called 'triple' because (hi, lo) are regarded as a single
uint128_t that is split because not all compilers support uint128_t.
"""
sign, digits, exp = d.as_tuple()
s = "".join(str(d) for d in digits)
coeff = int(s) if s else 0
if coeff < 0 or coeff >= 2**128:
raise ValueError("value out of bounds for a uint128 triple");
hi, lo = divmod(coeff, 2**64)
return (sign, hi, lo, exp)
def from_triple(triple):
"""Convert a decimal triple with a split uint128_t coefficient to a string.
"""
sign, hi, lo, exp = triple
coeff = hi * 2**64 + lo
if coeff < 0 or coeff >= 2**128:
raise ValueError("value out of bounds for a uint128 triple");
digits = tuple(int(c) for c in str(coeff))
return P.Decimal((sign, digits, exp))
signs = ["", "-"]
coefficients = [
"000000000000000000000000000000000000000",
"299999999999999999999999999999999999999",
"299999999999999999990000000000000000000",
"200000000000000000009999999999999999999",
"000000000000000000009999999999999999999",
"299999999999999999999999999999000000000",
"299999999999999999999000000000999999999",
"299999999999000000000999999999999999999",
"299000000000999999999999999999999999999",
"000999999999999999999999999999999999999",
"300000000000000000000000000000000000000",
"310000000000000000001000000000000000000",
"310000000000000000000000000000000000000",
"300000000000000000001000000000000000000",
"340100000000100000000100000000100000000",
"340100000000100000000100000000000000000",
"340100000000100000000000000000100000000",
"340100000000000000000100000000100000000",
"340000000000100000000100000000100000000",
"340282366920938463463374607431768211455",
]
exponents = [
"E+0", "E+1", "E-1",
"E+%s" % str(C.MAX_EMAX-38),
"E-%s" % str(C.MIN_ETINY+38),
]
for sign in signs:
for coeff in coefficients:
for exp in exponents:
s = sign + coeff + exp
ctriple = decimal_as_triple(C.Decimal(s))
ptriple = as_triple(P.Decimal(s))
self.assertEqual(ctriple, ptriple)
c = decimal_from_triple(ctriple)
p = decimal_from_triple(ptriple)
self.assertEqual(str(c), str(p))
for s in ["NaN", "-NaN", "sNaN", "-sNaN", "NaN123", "sNaN123", "inf", "-inf"]:
ctriple = decimal_as_triple(C.Decimal(s))
ptriple = as_triple(P.Decimal(s))
self.assertEqual(ctriple, ptriple)
c = decimal_from_triple(ctriple)
p = decimal_from_triple(ptriple)
self.assertEqual(str(c), str(p))
def test_decimal_api_errors(self):
# Capsule API
self.assertRaises(TypeError, decimal_as_triple, "X")
self.assertRaises(ValueError, decimal_as_triple, C.Decimal(2**128))
self.assertRaises(ValueError, decimal_as_triple, C.Decimal(-2**128))
self.assertRaises(TypeError, decimal_from_triple, "X")
self.assertRaises(ValueError, decimal_from_triple, ())
self.assertRaises(ValueError, decimal_from_triple, (1, 2, 3, 4, 5))
self.assertRaises(ValueError, decimal_from_triple, (2**8, 0, 0, 0))
self.assertRaises(OverflowError, decimal_from_triple, (0, 2**64, 0, 0))
self.assertRaises(OverflowError, decimal_from_triple, (0, 0, 2**64, 0))
self.assertRaises(OverflowError, decimal_from_triple, (0, 0, 0, 2**63))
self.assertRaises(OverflowError, decimal_from_triple, (0, 0, 0, -2**63-1))
self.assertRaises(ValueError, decimal_from_triple, (0, 0, 0, "X"))
self.assertRaises(TypeError, decimal_from_triple, (0, 0, 0, ()))
with C.localcontext(C.Context()):
self.assertRaises(C.InvalidOperation, decimal_from_triple, (2, 0, 0, 0))
self.assertRaises(C.InvalidOperation, decimal_from_triple, (0, 0, 0, 2**63-1))
self.assertRaises(C.InvalidOperation, decimal_from_triple, (0, 0, 0, -2**63))
self.assertRaises(TypeError, decimal_is_special, "X")
self.assertRaises(TypeError, decimal_is_nan, "X")
self.assertRaises(TypeError, decimal_is_infinite, "X")
self.assertRaises(TypeError, decimal_get_digits, "X")
class CWhitebox(unittest.TestCase):
"""Whitebox testing for _decimal"""
def test_bignum(self):
# Not exactly whitebox, but too slow with pydecimal.
Decimal = C.Decimal
localcontext = C.localcontext
b1 = 10**35
b2 = 10**36
with localcontext() as c:
c.prec = 1000000
for i in range(5):
a = random.randrange(b1, b2)
b = random.randrange(1000, 1200)
x = a ** b
y = Decimal(a) ** Decimal(b)
self.assertEqual(x, y)
def test_invalid_construction(self):
self.assertRaises(TypeError, C.Decimal, 9, "xyz")
def test_c_input_restriction(self):
# Too large for _decimal to be converted exactly
Decimal = C.Decimal
InvalidOperation = C.InvalidOperation
Context = C.Context
localcontext = C.localcontext
with localcontext(Context()):
self.assertRaises(InvalidOperation, Decimal,
"1e9999999999999999999")
def test_c_context_repr(self):
# This test is _decimal-only because flags are not printed
# in the same order.
DefaultContext = C.DefaultContext
FloatOperation = C.FloatOperation
c = DefaultContext.copy()
c.prec = 425000000
c.Emax = 425000000
c.Emin = -425000000
c.rounding = ROUND_HALF_DOWN
c.capitals = 0
c.clamp = 1
for sig in OrderedSignals[C]:
c.flags[sig] = True
c.traps[sig] = True
c.flags[FloatOperation] = True
c.traps[FloatOperation] = True
s = c.__repr__()
t = "Context(prec=425000000, rounding=ROUND_HALF_DOWN, " \
"Emin=-425000000, Emax=425000000, capitals=0, clamp=1, " \
"flags=[Clamped, InvalidOperation, DivisionByZero, Inexact, " \
"FloatOperation, Overflow, Rounded, Subnormal, Underflow], " \
"traps=[Clamped, InvalidOperation, DivisionByZero, Inexact, " \
"FloatOperation, Overflow, Rounded, Subnormal, Underflow])"
self.assertEqual(s, t)
def test_c_context_errors(self):
Context = C.Context
InvalidOperation = C.InvalidOperation
Overflow = C.Overflow
FloatOperation = C.FloatOperation
localcontext = C.localcontext
getcontext = C.getcontext
setcontext = C.setcontext
HAVE_CONFIG_64 = (C.MAX_PREC > 425000000)
c = Context()
# SignalDict: input validation
self.assertRaises(KeyError, c.flags.__setitem__, 801, 0)
self.assertRaises(KeyError, c.traps.__setitem__, 801, 0)
self.assertRaises(ValueError, c.flags.__delitem__, Overflow)
self.assertRaises(ValueError, c.traps.__delitem__, InvalidOperation)
self.assertRaises(TypeError, setattr, c, 'flags', ['x'])
self.assertRaises(TypeError, setattr, c,'traps', ['y'])
self.assertRaises(KeyError, setattr, c, 'flags', {0:1})
self.assertRaises(KeyError, setattr, c, 'traps', {0:1})
# Test assignment from a signal dict with the correct length but
# one invalid key.
d = c.flags.copy()
del d[FloatOperation]
d["XYZ"] = 91283719
self.assertRaises(KeyError, setattr, c, 'flags', d)
self.assertRaises(KeyError, setattr, c, 'traps', d)
# Input corner cases
int_max = 2**63-1 if HAVE_CONFIG_64 else 2**31-1
gt_max_emax = 10**18 if HAVE_CONFIG_64 else 10**9
# prec, Emax, Emin
for attr in ['prec', 'Emax']:
self.assertRaises(ValueError, setattr, c, attr, gt_max_emax)
self.assertRaises(ValueError, setattr, c, 'Emin', -gt_max_emax)
# prec, Emax, Emin in context constructor
self.assertRaises(ValueError, Context, prec=gt_max_emax)
self.assertRaises(ValueError, Context, Emax=gt_max_emax)
self.assertRaises(ValueError, Context, Emin=-gt_max_emax)
# Overflow in conversion
self.assertRaises(OverflowError, Context, prec=int_max+1)
self.assertRaises(OverflowError, Context, Emax=int_max+1)
self.assertRaises(OverflowError, Context, Emin=-int_max-2)
self.assertRaises(OverflowError, Context, clamp=int_max+1)
self.assertRaises(OverflowError, Context, capitals=int_max+1)
# OverflowError, general ValueError
for attr in ('prec', 'Emin', 'Emax', 'capitals', 'clamp'):
self.assertRaises(OverflowError, setattr, c, attr, int_max+1)
self.assertRaises(OverflowError, setattr, c, attr, -int_max-2)
if sys.platform != 'win32':
self.assertRaises(ValueError, setattr, c, attr, int_max)
self.assertRaises(ValueError, setattr, c, attr, -int_max-1)
# OverflowError: _unsafe_setprec, _unsafe_setemin, _unsafe_setemax
if C.MAX_PREC == 425000000:
self.assertRaises(OverflowError, getattr(c, '_unsafe_setprec'),
int_max+1)
self.assertRaises(OverflowError, getattr(c, '_unsafe_setemax'),
int_max+1)
self.assertRaises(OverflowError, getattr(c, '_unsafe_setemin'),
-int_max-2)
# ValueError: _unsafe_setprec, _unsafe_setemin, _unsafe_setemax
if C.MAX_PREC == 425000000:
self.assertRaises(ValueError, getattr(c, '_unsafe_setprec'), 0)
self.assertRaises(ValueError, getattr(c, '_unsafe_setprec'),
1070000001)
self.assertRaises(ValueError, getattr(c, '_unsafe_setemax'), -1)
self.assertRaises(ValueError, getattr(c, '_unsafe_setemax'),
1070000001)
self.assertRaises(ValueError, getattr(c, '_unsafe_setemin'),
-1070000001)
self.assertRaises(ValueError, getattr(c, '_unsafe_setemin'), 1)
# capitals, clamp
for attr in ['capitals', 'clamp']:
self.assertRaises(ValueError, setattr, c, attr, -1)
self.assertRaises(ValueError, setattr, c, attr, 2)
self.assertRaises(TypeError, setattr, c, attr, [1,2,3])
if HAVE_CONFIG_64:
self.assertRaises(ValueError, setattr, c, attr, 2**32)
self.assertRaises(ValueError, setattr, c, attr, 2**32+1)
# Invalid local context
self.assertRaises(TypeError, exec, 'with localcontext("xyz"): pass',
locals())
self.assertRaises(TypeError, exec,
'with localcontext(context=getcontext()): pass',
locals())
# setcontext
saved_context = getcontext()
self.assertRaises(TypeError, setcontext, "xyz")
setcontext(saved_context)
def test_rounding_strings_interned(self):
self.assertIs(C.ROUND_UP, P.ROUND_UP)
self.assertIs(C.ROUND_DOWN, P.ROUND_DOWN)
self.assertIs(C.ROUND_CEILING, P.ROUND_CEILING)
self.assertIs(C.ROUND_FLOOR, P.ROUND_FLOOR)
self.assertIs(C.ROUND_HALF_UP, P.ROUND_HALF_UP)
self.assertIs(C.ROUND_HALF_DOWN, P.ROUND_HALF_DOWN)
self.assertIs(C.ROUND_HALF_EVEN, P.ROUND_HALF_EVEN)
self.assertIs(C.ROUND_05UP, P.ROUND_05UP)
@requires_extra_functionality
def test_c_context_errors_extra(self):
Context = C.Context
InvalidOperation = C.InvalidOperation
Overflow = C.Overflow
localcontext = C.localcontext
getcontext = C.getcontext
setcontext = C.setcontext
HAVE_CONFIG_64 = (C.MAX_PREC > 425000000)
c = Context()
# Input corner cases
int_max = 2**63-1 if HAVE_CONFIG_64 else 2**31-1
# OverflowError, general ValueError
self.assertRaises(OverflowError, setattr, c, '_allcr', int_max+1)
self.assertRaises(OverflowError, setattr, c, '_allcr', -int_max-2)
if sys.platform != 'win32':
self.assertRaises(ValueError, setattr, c, '_allcr', int_max)
self.assertRaises(ValueError, setattr, c, '_allcr', -int_max-1)
# OverflowError, general TypeError
for attr in ('_flags', '_traps'):
self.assertRaises(OverflowError, setattr, c, attr, int_max+1)
self.assertRaises(OverflowError, setattr, c, attr, -int_max-2)
if sys.platform != 'win32':
self.assertRaises(TypeError, setattr, c, attr, int_max)
self.assertRaises(TypeError, setattr, c, attr, -int_max-1)
# _allcr
self.assertRaises(ValueError, setattr, c, '_allcr', -1)
self.assertRaises(ValueError, setattr, c, '_allcr', 2)
self.assertRaises(TypeError, setattr, c, '_allcr', [1,2,3])
if HAVE_CONFIG_64:
self.assertRaises(ValueError, setattr, c, '_allcr', 2**32)
self.assertRaises(ValueError, setattr, c, '_allcr', 2**32+1)
# _flags, _traps
for attr in ['_flags', '_traps']:
self.assertRaises(TypeError, setattr, c, attr, 999999)
self.assertRaises(TypeError, setattr, c, attr, 'x')
def test_c_valid_context(self):
# These tests are for code coverage in _decimal.
DefaultContext = C.DefaultContext
Clamped = C.Clamped
Underflow = C.Underflow
Inexact = C.Inexact
Rounded = C.Rounded
Subnormal = C.Subnormal
c = DefaultContext.copy()
# Exercise all getters and setters
c.prec = 34
c.rounding = ROUND_HALF_UP
c.Emax = 3000
c.Emin = -3000
c.capitals = 1
c.clamp = 0
self.assertEqual(c.prec, 34)
self.assertEqual(c.rounding, ROUND_HALF_UP)
self.assertEqual(c.Emin, -3000)
self.assertEqual(c.Emax, 3000)
self.assertEqual(c.capitals, 1)
self.assertEqual(c.clamp, 0)
self.assertEqual(c.Etiny(), -3033)
self.assertEqual(c.Etop(), 2967)
# Exercise all unsafe setters
if C.MAX_PREC == 425000000:
c._unsafe_setprec(999999999)
c._unsafe_setemax(999999999)
c._unsafe_setemin(-999999999)
self.assertEqual(c.prec, 999999999)
self.assertEqual(c.Emax, 999999999)
self.assertEqual(c.Emin, -999999999)
@requires_extra_functionality
def test_c_valid_context_extra(self):
DefaultContext = C.DefaultContext
c = DefaultContext.copy()
self.assertEqual(c._allcr, 1)
c._allcr = 0
self.assertEqual(c._allcr, 0)
def test_c_round(self):
# Restricted input.
Decimal = C.Decimal
InvalidOperation = C.InvalidOperation
localcontext = C.localcontext
MAX_EMAX = C.MAX_EMAX
MIN_ETINY = C.MIN_ETINY
int_max = 2**63-1 if C.MAX_PREC > 425000000 else 2**31-1
with localcontext() as c:
c.traps[InvalidOperation] = True
self.assertRaises(InvalidOperation, Decimal("1.23").__round__,
-int_max-1)
self.assertRaises(InvalidOperation, Decimal("1.23").__round__,
int_max)
self.assertRaises(InvalidOperation, Decimal("1").__round__,
int(MAX_EMAX+1))
self.assertRaises(C.InvalidOperation, Decimal("1").__round__,
-int(MIN_ETINY-1))
self.assertRaises(OverflowError, Decimal("1.23").__round__,
-int_max-2)
self.assertRaises(OverflowError, Decimal("1.23").__round__,
int_max+1)
def test_c_format(self):
# Restricted input
Decimal = C.Decimal
HAVE_CONFIG_64 = (C.MAX_PREC > 425000000)
self.assertRaises(TypeError, Decimal(1).__format__, "=10.10", [], 9)
self.assertRaises(TypeError, Decimal(1).__format__, "=10.10", 9)
self.assertRaises(TypeError, Decimal(1).__format__, [])
self.assertRaises(ValueError, Decimal(1).__format__, "<>=10.10")
maxsize = 2**63-1 if HAVE_CONFIG_64 else 2**31-1
self.assertRaises(ValueError, Decimal("1.23456789").__format__,
"=%d.1" % maxsize)
def test_c_integral(self):
Decimal = C.Decimal
Inexact = C.Inexact
localcontext = C.localcontext
x = Decimal(10)
self.assertEqual(x.to_integral(), 10)
self.assertRaises(TypeError, x.to_integral, '10')
self.assertRaises(TypeError, x.to_integral, 10, 'x')
self.assertRaises(TypeError, x.to_integral, 10)
self.assertEqual(x.to_integral_value(), 10)
self.assertRaises(TypeError, x.to_integral_value, '10')
self.assertRaises(TypeError, x.to_integral_value, 10, 'x')
self.assertRaises(TypeError, x.to_integral_value, 10)
self.assertEqual(x.to_integral_exact(), 10)
self.assertRaises(TypeError, x.to_integral_exact, '10')
self.assertRaises(TypeError, x.to_integral_exact, 10, 'x')
self.assertRaises(TypeError, x.to_integral_exact, 10)
with localcontext() as c:
x = Decimal("99999999999999999999999999.9").to_integral_value(ROUND_UP)
self.assertEqual(x, Decimal('100000000000000000000000000'))
x = Decimal("99999999999999999999999999.9").to_integral_exact(ROUND_UP)
self.assertEqual(x, Decimal('100000000000000000000000000'))
c.traps[Inexact] = True
self.assertRaises(Inexact, Decimal("999.9").to_integral_exact, ROUND_UP)
def test_c_funcs(self):
# Invalid arguments
Decimal = C.Decimal
InvalidOperation = C.InvalidOperation
DivisionByZero = C.DivisionByZero
getcontext = C.getcontext
localcontext = C.localcontext
self.assertEqual(Decimal('9.99e10').to_eng_string(), '99.9E+9')
self.assertRaises(TypeError, pow, Decimal(1), 2, "3")
self.assertRaises(TypeError, Decimal(9).number_class, "x", "y")
self.assertRaises(TypeError, Decimal(9).same_quantum, 3, "x", "y")
self.assertRaises(
TypeError,
Decimal("1.23456789").quantize, Decimal('1e-100000'), []
)
self.assertRaises(
TypeError,
Decimal("1.23456789").quantize, Decimal('1e-100000'), getcontext()
)
self.assertRaises(
TypeError,
Decimal("1.23456789").quantize, Decimal('1e-100000'), 10
)
self.assertRaises(
TypeError,
Decimal("1.23456789").quantize, Decimal('1e-100000'), ROUND_UP, 1000
)
with localcontext() as c:
c.clear_traps()
# Invalid arguments
self.assertRaises(TypeError, c.copy_sign, Decimal(1), "x", "y")
self.assertRaises(TypeError, c.canonical, 200)
self.assertRaises(TypeError, c.is_canonical, 200)
self.assertRaises(TypeError, c.divmod, 9, 8, "x", "y")
self.assertRaises(TypeError, c.same_quantum, 9, 3, "x", "y")
self.assertEqual(str(c.canonical(Decimal(200))), '200')
self.assertEqual(c.radix(), 10)
c.traps[DivisionByZero] = True
self.assertRaises(DivisionByZero, Decimal(9).__divmod__, 0)
self.assertRaises(DivisionByZero, c.divmod, 9, 0)
self.assertTrue(c.flags[InvalidOperation])
c.clear_flags()
c.traps[InvalidOperation] = True
self.assertRaises(InvalidOperation, Decimal(9).__divmod__, 0)
self.assertRaises(InvalidOperation, c.divmod, 9, 0)
self.assertTrue(c.flags[DivisionByZero])
c.traps[InvalidOperation] = True
c.prec = 2
self.assertRaises(InvalidOperation, pow, Decimal(1000), 1, 501)
def test_va_args_exceptions(self):
Decimal = C.Decimal
Context = C.Context
x = Decimal("10001111111")
for attr in ['exp', 'is_normal', 'is_subnormal', 'ln', 'log10',
'logb', 'logical_invert', 'next_minus', 'next_plus',
'normalize', 'number_class', 'sqrt', 'to_eng_string']:
func = getattr(x, attr)
self.assertRaises(TypeError, func, context="x")
self.assertRaises(TypeError, func, "x", context=None)
for attr in ['compare', 'compare_signal', 'logical_and',
'logical_or', 'max', 'max_mag', 'min', 'min_mag',
'remainder_near', 'rotate', 'scaleb', 'shift']:
func = getattr(x, attr)
self.assertRaises(TypeError, func, context="x")
self.assertRaises(TypeError, func, "x", context=None)
self.assertRaises(TypeError, x.to_integral, rounding=None, context=[])
self.assertRaises(TypeError, x.to_integral, rounding={}, context=[])
self.assertRaises(TypeError, x.to_integral, [], [])
self.assertRaises(TypeError, x.to_integral_value, rounding=None, context=[])
self.assertRaises(TypeError, x.to_integral_value, rounding={}, context=[])
self.assertRaises(TypeError, x.to_integral_value, [], [])
self.assertRaises(TypeError, x.to_integral_exact, rounding=None, context=[])
self.assertRaises(TypeError, x.to_integral_exact, rounding={}, context=[])
self.assertRaises(TypeError, x.to_integral_exact, [], [])
self.assertRaises(TypeError, x.fma, 1, 2, context="x")
self.assertRaises(TypeError, x.fma, 1, 2, "x", context=None)
self.assertRaises(TypeError, x.quantize, 1, [], context=None)
self.assertRaises(TypeError, x.quantize, 1, [], rounding=None)
self.assertRaises(TypeError, x.quantize, 1, [], [])
c = Context()
self.assertRaises(TypeError, c.power, 1, 2, mod="x")
self.assertRaises(TypeError, c.power, 1, "x", mod=None)
self.assertRaises(TypeError, c.power, "x", 2, mod=None)
@requires_extra_functionality
def test_c_context_templates(self):
self.assertEqual(
C.BasicContext._traps,
C.DecIEEEInvalidOperation|C.DecDivisionByZero|C.DecOverflow|
C.DecUnderflow|C.DecClamped
)
self.assertEqual(
C.DefaultContext._traps,
C.DecIEEEInvalidOperation|C.DecDivisionByZero|C.DecOverflow
)
@requires_extra_functionality
def test_c_signal_dict(self):
# SignalDict coverage
Context = C.Context
DefaultContext = C.DefaultContext
InvalidOperation = C.InvalidOperation
FloatOperation = C.FloatOperation
DivisionByZero = C.DivisionByZero
Overflow = C.Overflow
Subnormal = C.Subnormal
Underflow = C.Underflow
Rounded = C.Rounded
Inexact = C.Inexact
Clamped = C.Clamped
DecClamped = C.DecClamped
DecInvalidOperation = C.DecInvalidOperation
DecIEEEInvalidOperation = C.DecIEEEInvalidOperation
def assertIsExclusivelySet(signal, signal_dict):
for sig in signal_dict:
if sig == signal:
self.assertTrue(signal_dict[sig])
else:
self.assertFalse(signal_dict[sig])
c = DefaultContext.copy()
# Signal dict methods
self.assertTrue(Overflow in c.traps)
c.clear_traps()
for k in c.traps.keys():
c.traps[k] = True
for v in c.traps.values():
self.assertTrue(v)
c.clear_traps()
for k, v in c.traps.items():
self.assertFalse(v)
self.assertFalse(c.flags.get(Overflow))
self.assertIs(c.flags.get("x"), None)
self.assertEqual(c.flags.get("x", "y"), "y")
self.assertRaises(TypeError, c.flags.get, "x", "y", "z")
self.assertEqual(len(c.flags), len(c.traps))
s = sys.getsizeof(c.flags)
s = sys.getsizeof(c.traps)
s = c.flags.__repr__()
# Set flags/traps.
c.clear_flags()
c._flags = DecClamped
self.assertTrue(c.flags[Clamped])
c.clear_traps()
c._traps = DecInvalidOperation
self.assertTrue(c.traps[InvalidOperation])
# Set flags/traps from dictionary.
c.clear_flags()
d = c.flags.copy()
d[DivisionByZero] = True
c.flags = d
assertIsExclusivelySet(DivisionByZero, c.flags)
c.clear_traps()
d = c.traps.copy()
d[Underflow] = True
c.traps = d
assertIsExclusivelySet(Underflow, c.traps)
# Random constructors
IntSignals = {
Clamped: C.DecClamped,
Rounded: C.DecRounded,
Inexact: C.DecInexact,
Subnormal: C.DecSubnormal,
Underflow: C.DecUnderflow,
Overflow: C.DecOverflow,
DivisionByZero: C.DecDivisionByZero,
FloatOperation: C.DecFloatOperation,
InvalidOperation: C.DecIEEEInvalidOperation
}
IntCond = [
C.DecDivisionImpossible, C.DecDivisionUndefined, C.DecFpuError,
C.DecInvalidContext, C.DecInvalidOperation, C.DecMallocError,
C.DecConversionSyntax,
]
lim = len(OrderedSignals[C])
for r in range(lim):
for t in range(lim):
for round in RoundingModes:
flags = random.sample(OrderedSignals[C], r)
traps = random.sample(OrderedSignals[C], t)
prec = random.randrange(1, 10000)
emin = random.randrange(-10000, 0)
emax = random.randrange(0, 10000)
clamp = random.randrange(0, 2)
caps = random.randrange(0, 2)
cr = random.randrange(0, 2)
c = Context(prec=prec, rounding=round, Emin=emin, Emax=emax,
capitals=caps, clamp=clamp, flags=list(flags),
traps=list(traps))
self.assertEqual(c.prec, prec)
self.assertEqual(c.rounding, round)
self.assertEqual(c.Emin, emin)
self.assertEqual(c.Emax, emax)
self.assertEqual(c.capitals, caps)
self.assertEqual(c.clamp, clamp)
f = 0
for x in flags:
f |= IntSignals[x]
self.assertEqual(c._flags, f)
f = 0
for x in traps:
f |= IntSignals[x]
self.assertEqual(c._traps, f)
for cond in IntCond:
c._flags = cond
self.assertTrue(c._flags&DecIEEEInvalidOperation)
assertIsExclusivelySet(InvalidOperation, c.flags)
for cond in IntCond:
c._traps = cond
self.assertTrue(c._traps&DecIEEEInvalidOperation)
assertIsExclusivelySet(InvalidOperation, c.traps)
def test_invalid_override(self):
Decimal = C.Decimal
try:
from locale import CHAR_MAX
except ImportError:
self.skipTest('locale.CHAR_MAX not available')
def make_grouping(lst):
return ''.join([chr(x) for x in lst])
def get_fmt(x, override=None, fmt='n'):
return Decimal(x).__format__(fmt, override)
invalid_grouping = {
'decimal_point' : ',',
'grouping' : make_grouping([255, 255, 0]),
'thousands_sep' : ','
}
invalid_dot = {
'decimal_point' : 'xxxxx',
'grouping' : make_grouping([3, 3, 0]),
'thousands_sep' : ','
}
invalid_sep = {
'decimal_point' : '.',
'grouping' : make_grouping([3, 3, 0]),
'thousands_sep' : 'yyyyy'
}
if CHAR_MAX == 127: # negative grouping in override
self.assertRaises(ValueError, get_fmt, 12345,
invalid_grouping, 'g')
self.assertRaises(ValueError, get_fmt, 12345, invalid_dot, 'g')
self.assertRaises(ValueError, get_fmt, 12345, invalid_sep, 'g')
def test_exact_conversion(self):
Decimal = C.Decimal
localcontext = C.localcontext
InvalidOperation = C.InvalidOperation
with localcontext() as c:
c.traps[InvalidOperation] = True
# Clamped
x = "0e%d" % sys.maxsize
self.assertRaises(InvalidOperation, Decimal, x)
x = "0e%d" % (-sys.maxsize-1)
self.assertRaises(InvalidOperation, Decimal, x)
# Overflow
x = "1e%d" % sys.maxsize
self.assertRaises(InvalidOperation, Decimal, x)
# Underflow
x = "1e%d" % (-sys.maxsize-1)
self.assertRaises(InvalidOperation, Decimal, x)
def test_from_tuple(self):
Decimal = C.Decimal
localcontext = C.localcontext
InvalidOperation = C.InvalidOperation
Overflow = C.Overflow
Underflow = C.Underflow
with localcontext() as c:
c.traps[InvalidOperation] = True
c.traps[Overflow] = True
c.traps[Underflow] = True
# SSIZE_MAX
x = (1, (), sys.maxsize)
self.assertEqual(str(c.create_decimal(x)), '-0E+999999')
self.assertRaises(InvalidOperation, Decimal, x)
x = (1, (0, 1, 2), sys.maxsize)
self.assertRaises(Overflow, c.create_decimal, x)
self.assertRaises(InvalidOperation, Decimal, x)
# SSIZE_MIN
x = (1, (), -sys.maxsize-1)
self.assertEqual(str(c.create_decimal(x)), '-0E-1000007')
self.assertRaises(InvalidOperation, Decimal, x)
x = (1, (0, 1, 2), -sys.maxsize-1)
self.assertRaises(Underflow, c.create_decimal, x)
self.assertRaises(InvalidOperation, Decimal, x)
# OverflowError
x = (1, (), sys.maxsize+1)
self.assertRaises(OverflowError, c.create_decimal, x)
self.assertRaises(OverflowError, Decimal, x)
x = (1, (), -sys.maxsize-2)
self.assertRaises(OverflowError, c.create_decimal, x)
self.assertRaises(OverflowError, Decimal, x)
# Specials
x = (1, (), "N")
self.assertEqual(str(Decimal(x)), '-sNaN')
x = (1, (0,), "N")
self.assertEqual(str(Decimal(x)), '-sNaN')
x = (1, (0, 1), "N")
self.assertEqual(str(Decimal(x)), '-sNaN1')
def test_sizeof(self):
Decimal = C.Decimal
HAVE_CONFIG_64 = (C.MAX_PREC > 425000000)
self.assertGreater(Decimal(0).__sizeof__(), 0)
if HAVE_CONFIG_64:
x = Decimal(10**(19*24)).__sizeof__()
y = Decimal(10**(19*25)).__sizeof__()
self.assertEqual(y, x+8)
else:
x = Decimal(10**(9*24)).__sizeof__()
y = Decimal(10**(9*25)).__sizeof__()
self.assertEqual(y, x+4)
def test_internal_use_of_overridden_methods(self):
Decimal = C.Decimal
# Unsound subtyping
class X(float):
def as_integer_ratio(self):
return 1
def __abs__(self):
return self
class Y(float):
def __abs__(self):
return [1]*200
class I(int):
def bit_length(self):
return [1]*200
class Z(float):
def as_integer_ratio(self):
return (I(1), I(1))
def __abs__(self):
return self
for cls in X, Y, Z:
self.assertEqual(Decimal.from_float(cls(101.1)),
Decimal.from_float(101.1))
# Issue 41540:
@unittest.skipIf(sys.platform.startswith("aix"),
"AIX: default ulimit: test is flaky because of extreme over-allocation")
def test_maxcontext_exact_arith(self):
# Make sure that exact operations do not raise MemoryError due
# to huge intermediate values when the context precision is very
# large.
# The following functions fill the available precision and are
# therefore not suitable for large precisions (by design of the
# specification).
MaxContextSkip = ['logical_invert', 'next_minus', 'next_plus',
'logical_and', 'logical_or', 'logical_xor',
'next_toward', 'rotate', 'shift']
Decimal = C.Decimal
Context = C.Context
localcontext = C.localcontext
# Here only some functions that are likely candidates for triggering a
# MemoryError are tested. deccheck.py has an exhaustive test.
maxcontext = Context(prec=C.MAX_PREC, Emin=C.MIN_EMIN, Emax=C.MAX_EMAX)
with localcontext(maxcontext):
self.assertEqual(Decimal(0).exp(), 1)
self.assertEqual(Decimal(1).ln(), 0)
self.assertEqual(Decimal(1).log10(), 0)
self.assertEqual(Decimal(10**2).log10(), 2)
self.assertEqual(Decimal(10**223).log10(), 223)
self.assertEqual(Decimal(10**19).logb(), 19)
self.assertEqual(Decimal(4).sqrt(), 2)
self.assertEqual(Decimal("40E9").sqrt(), Decimal('2.0E+5'))
self.assertEqual(divmod(Decimal(10), 3), (3, 1))
self.assertEqual(Decimal(10) // 3, 3)
self.assertEqual(Decimal(4) / 2, 2)
self.assertEqual(Decimal(400) ** -1, Decimal('0.0025'))
@requires_docstrings
@unittest.skipUnless(C, "test requires C version")
class SignatureTest(unittest.TestCase):
"""Function signatures"""
def test_inspect_module(self):
for attr in dir(P):
if attr.startswith('_'):
continue
p_func = getattr(P, attr)
c_func = getattr(C, attr)
if (attr == 'Decimal' or attr == 'Context' or
inspect.isfunction(p_func)):
p_sig = inspect.signature(p_func)
c_sig = inspect.signature(c_func)
# parameter names:
c_names = list(c_sig.parameters.keys())
p_names = [x for x in p_sig.parameters.keys() if not
x.startswith('_')]
self.assertEqual(c_names, p_names,
msg="parameter name mismatch in %s" % p_func)
c_kind = [x.kind for x in c_sig.parameters.values()]
p_kind = [x[1].kind for x in p_sig.parameters.items() if not
x[0].startswith('_')]
# parameters:
if attr != 'setcontext':
self.assertEqual(c_kind, p_kind,
msg="parameter kind mismatch in %s" % p_func)
def test_inspect_types(self):
POS = inspect._ParameterKind.POSITIONAL_ONLY
POS_KWD = inspect._ParameterKind.POSITIONAL_OR_KEYWORD
# Type heuristic (type annotations would help!):
pdict = {C: {'other': C.Decimal(1),
'third': C.Decimal(1),
'x': C.Decimal(1),
'y': C.Decimal(1),
'z': C.Decimal(1),
'a': C.Decimal(1),
'b': C.Decimal(1),
'c': C.Decimal(1),
'exp': C.Decimal(1),
'modulo': C.Decimal(1),
'num': "1",
'f': 1.0,
'rounding': C.ROUND_HALF_UP,
'context': C.getcontext()},
P: {'other': P.Decimal(1),
'third': P.Decimal(1),
'a': P.Decimal(1),
'b': P.Decimal(1),
'c': P.Decimal(1),
'exp': P.Decimal(1),
'modulo': P.Decimal(1),
'num': "1",
'f': 1.0,
'rounding': P.ROUND_HALF_UP,
'context': P.getcontext()}}
def mkargs(module, sig):
args = []
kwargs = {}
for name, param in sig.parameters.items():
if name == 'self': continue
if param.kind == POS:
args.append(pdict[module][name])
elif param.kind == POS_KWD:
kwargs[name] = pdict[module][name]
else:
raise TestFailed("unexpected parameter kind")
return args, kwargs
def tr(s):
"""The C Context docstrings use 'x' in order to prevent confusion
with the article 'a' in the descriptions."""
if s == 'x': return 'a'
if s == 'y': return 'b'
if s == 'z': return 'c'
return s
def doit(ty):
p_type = getattr(P, ty)
c_type = getattr(C, ty)
for attr in dir(p_type):
if attr.startswith('_'):
continue
p_func = getattr(p_type, attr)
c_func = getattr(c_type, attr)
if inspect.isfunction(p_func):
p_sig = inspect.signature(p_func)
c_sig = inspect.signature(c_func)
# parameter names:
p_names = list(p_sig.parameters.keys())
c_names = [tr(x) for x in c_sig.parameters.keys()]
self.assertEqual(c_names, p_names,
msg="parameter name mismatch in %s" % p_func)
p_kind = [x.kind for x in p_sig.parameters.values()]
c_kind = [x.kind for x in c_sig.parameters.values()]
# 'self' parameter:
self.assertIs(p_kind[0], POS_KWD)
self.assertIs(c_kind[0], POS)
# remaining parameters:
if ty == 'Decimal':
self.assertEqual(c_kind[1:], p_kind[1:],
msg="parameter kind mismatch in %s" % p_func)
else: # Context methods are positional only in the C version.
self.assertEqual(len(c_kind), len(p_kind),
msg="parameter kind mismatch in %s" % p_func)
# Run the function:
args, kwds = mkargs(C, c_sig)
try:
getattr(c_type(9), attr)(*args, **kwds)
except Exception:
raise TestFailed("invalid signature for %s: %s %s" % (c_func, args, kwds))
args, kwds = mkargs(P, p_sig)
try:
getattr(p_type(9), attr)(*args, **kwds)
except Exception:
raise TestFailed("invalid signature for %s: %s %s" % (p_func, args, kwds))
doit('Decimal')
doit('Context')
all_tests = [
CExplicitConstructionTest, PyExplicitConstructionTest,
CImplicitConstructionTest, PyImplicitConstructionTest,
CFormatTest, PyFormatTest,
CArithmeticOperatorsTest, PyArithmeticOperatorsTest,
CThreadingTest, PyThreadingTest,
CUsabilityTest, PyUsabilityTest,
CPythonAPItests, PyPythonAPItests,
CContextAPItests, PyContextAPItests,
CContextWithStatement, PyContextWithStatement,
CContextFlags, PyContextFlags,
CSpecialContexts, PySpecialContexts,
CContextInputValidation, PyContextInputValidation,
CContextSubclassing, PyContextSubclassing,
CCoverage, PyCoverage,
CFunctionality, PyFunctionality,
CWhitebox, PyWhitebox,
CIBMTestCases, PyIBMTestCases,
]
# Delete C tests if _decimal.so is not present.
if not C:
all_tests = all_tests[1::2]
else:
all_tests.insert(0, CheckAttributes)
all_tests.insert(1, SignatureTest)
def test_main(arith=None, 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(C)
init(P)
global TEST_ALL, DEBUG
TEST_ALL = arith if arith is not None else is_resource_enabled('decimal')
DEBUG = debug
if todo_tests is None:
test_classes = all_tests
else:
test_classes = [CIBMTestCases, PyIBMTestCases]
# 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(CIBMTestCases, 'test_' + head, tester)
setattr(PyIBMTestCases, 'test_' + head, tester)
del filename, head, tail, tester
try:
run_unittest(*test_classes)
if todo_tests is None:
from doctest import IGNORE_EXCEPTION_DETAIL
savedecimal = sys.modules['decimal']
if C:
sys.modules['decimal'] = C
run_doctest(C, verbose, optionflags=IGNORE_EXCEPTION_DETAIL)
sys.modules['decimal'] = P
run_doctest(P, verbose)
sys.modules['decimal'] = savedecimal
finally:
if C: C.setcontext(ORIGINAL_CONTEXT[C])
P.setcontext(ORIGINAL_CONTEXT[P])
if not C:
warnings.warn('C tests skipped: no module named _decimal.',
UserWarning)
if not orig_sys_decimal is sys.modules['decimal']:
raise TestFailed("Internal error: unbalanced number of changes to "
"sys.modules['decimal'].")
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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