code
stringlengths 66
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| docstring
stringlengths 19
26.7k
| func_name
stringlengths 1
138
| language
stringclasses 1
value | repo
stringlengths 7
68
| path
stringlengths 5
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| url
stringlengths 46
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|---|---|---|---|---|---|---|---|
def deepcopy(x, memo=None, _nil=[]):
"""Deep copy operation on arbitrary Python objects.
See the module's __doc__ string for more info.
"""
if memo is None:
memo = {}
d = id(x)
y = memo.get(d, _nil)
if y is not _nil:
return y
cls = type(x)
copier = _deepcopy_dispatch.get(cls)
if copier:
y = copier(x, memo)
else:
try:
issc = issubclass(cls, type)
except TypeError: # cls is not a class (old Boost; see SF #502085)
issc = 0
if issc:
y = _deepcopy_atomic(x, memo)
else:
copier = getattr(x, "__deepcopy__", None)
if copier:
y = copier(memo)
else:
reductor = dispatch_table.get(cls)
if reductor:
rv = reductor(x)
else:
reductor = getattr(x, "__reduce_ex__", None)
if reductor:
rv = reductor(2)
else:
reductor = getattr(x, "__reduce__", None)
if reductor:
rv = reductor()
else:
raise Error(
"un(deep)copyable object of type %s" % cls)
y = _reconstruct(x, rv, 1, memo)
memo[d] = y
_keep_alive(x, memo) # Make sure x lives at least as long as d
return y
|
Deep copy operation on arbitrary Python objects.
See the module's __doc__ string for more info.
|
deepcopy
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/copy.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/copy.py
|
MIT
|
def _keep_alive(x, memo):
"""Keeps a reference to the object x in the memo.
Because we remember objects by their id, we have
to assure that possibly temporary objects are kept
alive by referencing them.
We store a reference at the id of the memo, which should
normally not be used unless someone tries to deepcopy
the memo itself...
"""
try:
memo[id(memo)].append(x)
except KeyError:
# aha, this is the first one :-)
memo[id(memo)]=[x]
|
Keeps a reference to the object x in the memo.
Because we remember objects by their id, we have
to assure that possibly temporary objects are kept
alive by referencing them.
We store a reference at the id of the memo, which should
normally not be used unless someone tries to deepcopy
the memo itself...
|
_keep_alive
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/copy.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/copy.py
|
MIT
|
def _slotnames(cls):
"""Return a list of slot names for a given class.
This needs to find slots defined by the class and its bases, so we
can't simply return the __slots__ attribute. We must walk down
the Method Resolution Order and concatenate the __slots__ of each
class found there. (This assumes classes don't modify their
__slots__ attribute to misrepresent their slots after the class is
defined.)
"""
# Get the value from a cache in the class if possible
names = cls.__dict__.get("__slotnames__")
if names is not None:
return names
# Not cached -- calculate the value
names = []
if not hasattr(cls, "__slots__"):
# This class has no slots
pass
else:
# Slots found -- gather slot names from all base classes
for c in cls.__mro__:
if "__slots__" in c.__dict__:
slots = c.__dict__['__slots__']
# if class has a single slot, it can be given as a string
if isinstance(slots, basestring):
slots = (slots,)
for name in slots:
# special descriptors
if name in ("__dict__", "__weakref__"):
continue
# mangled names
elif name.startswith('__') and not name.endswith('__'):
names.append('_%s%s' % (c.__name__, name))
else:
names.append(name)
# Cache the outcome in the class if at all possible
try:
cls.__slotnames__ = names
except:
pass # But don't die if we can't
return names
|
Return a list of slot names for a given class.
This needs to find slots defined by the class and its bases, so we
can't simply return the __slots__ attribute. We must walk down
the Method Resolution Order and concatenate the __slots__ of each
class found there. (This assumes classes don't modify their
__slots__ attribute to misrepresent their slots after the class is
defined.)
|
_slotnames
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/copy_reg.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/copy_reg.py
|
MIT
|
def remove_extension(module, name, code):
"""Unregister an extension code. For testing only."""
key = (module, name)
if (_extension_registry.get(key) != code or
_inverted_registry.get(code) != key):
raise ValueError("key %s is not registered with code %s" %
(key, code))
del _extension_registry[key]
del _inverted_registry[code]
if code in _extension_cache:
del _extension_cache[code]
|
Unregister an extension code. For testing only.
|
remove_extension
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/copy_reg.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/copy_reg.py
|
MIT
|
def run(statement, filename=None, sort=-1):
"""Run statement under profiler optionally saving results in filename
This function takes a single argument that can be passed to the
"exec" statement, and an optional file name. In all cases this
routine attempts to "exec" its first argument and gather profiling
statistics from the execution. If no file name is present, then this
function automatically prints a simple profiling report, sorted by the
standard name string (file/line/function-name) that is presented in
each line.
"""
prof = Profile()
result = None
try:
try:
prof = prof.run(statement)
except SystemExit:
pass
finally:
if filename is not None:
prof.dump_stats(filename)
else:
result = prof.print_stats(sort)
return result
|
Run statement under profiler optionally saving results in filename
This function takes a single argument that can be passed to the
"exec" statement, and an optional file name. In all cases this
routine attempts to "exec" its first argument and gather profiling
statistics from the execution. If no file name is present, then this
function automatically prints a simple profiling report, sorted by the
standard name string (file/line/function-name) that is presented in
each line.
|
run
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/cProfile.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/cProfile.py
|
MIT
|
def runctx(statement, globals, locals, filename=None, sort=-1):
"""Run statement under profiler, supplying your own globals and locals,
optionally saving results in filename.
statement and filename have the same semantics as profile.run
"""
prof = Profile()
result = None
try:
try:
prof = prof.runctx(statement, globals, locals)
except SystemExit:
pass
finally:
if filename is not None:
prof.dump_stats(filename)
else:
result = prof.print_stats(sort)
return result
|
Run statement under profiler, supplying your own globals and locals,
optionally saving results in filename.
statement and filename have the same semantics as profile.run
|
runctx
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/cProfile.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/cProfile.py
|
MIT
|
def sniff(self, sample, delimiters=None):
"""
Returns a dialect (or None) corresponding to the sample
"""
quotechar, doublequote, delimiter, skipinitialspace = \
self._guess_quote_and_delimiter(sample, delimiters)
if not delimiter:
delimiter, skipinitialspace = self._guess_delimiter(sample,
delimiters)
if not delimiter:
raise Error, "Could not determine delimiter"
class dialect(Dialect):
_name = "sniffed"
lineterminator = '\r\n'
quoting = QUOTE_MINIMAL
# escapechar = ''
dialect.doublequote = doublequote
dialect.delimiter = delimiter
# _csv.reader won't accept a quotechar of ''
dialect.quotechar = quotechar or '"'
dialect.skipinitialspace = skipinitialspace
return dialect
|
Returns a dialect (or None) corresponding to the sample
|
sniff
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/csv.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/csv.py
|
MIT
|
def setcontext(context):
"""Set this thread's context to context."""
if context in (DefaultContext, BasicContext, ExtendedContext):
context = context.copy()
context.clear_flags()
threading.currentThread().__decimal_context__ = context
|
Set this thread's context to context.
|
setcontext
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def getcontext():
"""Returns this thread's context.
If this thread does not yet have a context, returns
a new context and sets this thread's context.
New contexts are copies of DefaultContext.
"""
try:
return threading.currentThread().__decimal_context__
except AttributeError:
context = Context()
threading.currentThread().__decimal_context__ = context
return context
|
Returns this thread's context.
If this thread does not yet have a context, returns
a new context and sets this thread's context.
New contexts are copies of DefaultContext.
|
getcontext
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def getcontext(_local=local):
"""Returns this thread's context.
If this thread does not yet have a context, returns
a new context and sets this thread's context.
New contexts are copies of DefaultContext.
"""
try:
return _local.__decimal_context__
except AttributeError:
context = Context()
_local.__decimal_context__ = context
return context
|
Returns this thread's context.
If this thread does not yet have a context, returns
a new context and sets this thread's context.
New contexts are copies of DefaultContext.
|
getcontext
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def setcontext(context, _local=local):
"""Set this thread's context to context."""
if context in (DefaultContext, BasicContext, ExtendedContext):
context = context.copy()
context.clear_flags()
_local.__decimal_context__ = context
|
Set this thread's context to context.
|
setcontext
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def __new__(cls, value="0", context=None):
"""Create a decimal point instance.
>>> Decimal('3.14') # string input
Decimal('3.14')
>>> Decimal((0, (3, 1, 4), -2)) # tuple (sign, digit_tuple, exponent)
Decimal('3.14')
>>> Decimal(314) # int or long
Decimal('314')
>>> Decimal(Decimal(314)) # another decimal instance
Decimal('314')
>>> Decimal(' 3.14 \\n') # leading and trailing whitespace okay
Decimal('3.14')
"""
# Note that the coefficient, self._int, is actually stored as
# a string rather than as a tuple of digits. This speeds up
# the "digits to integer" and "integer to digits" conversions
# that are used in almost every arithmetic operation on
# Decimals. This is an internal detail: the as_tuple function
# and the Decimal constructor still deal with tuples of
# digits.
self = object.__new__(cls)
# From a string
# REs insist on real strings, so we can too.
if isinstance(value, basestring):
m = _parser(value.strip())
if m is None:
if context is None:
context = getcontext()
return context._raise_error(ConversionSyntax,
"Invalid literal for Decimal: %r" % value)
if m.group('sign') == "-":
self._sign = 1
else:
self._sign = 0
intpart = m.group('int')
if intpart is not None:
# finite number
fracpart = m.group('frac') or ''
exp = int(m.group('exp') or '0')
self._int = str(int(intpart+fracpart))
self._exp = exp - len(fracpart)
self._is_special = False
else:
diag = m.group('diag')
if diag is not None:
# NaN
self._int = str(int(diag or '0')).lstrip('0')
if m.group('signal'):
self._exp = 'N'
else:
self._exp = 'n'
else:
# infinity
self._int = '0'
self._exp = 'F'
self._is_special = True
return self
# From an integer
if isinstance(value, (int,long)):
if value >= 0:
self._sign = 0
else:
self._sign = 1
self._exp = 0
self._int = str(abs(value))
self._is_special = False
return self
# From another decimal
if isinstance(value, Decimal):
self._exp = value._exp
self._sign = value._sign
self._int = value._int
self._is_special = value._is_special
return self
# From an internal working value
if isinstance(value, _WorkRep):
self._sign = value.sign
self._int = str(value.int)
self._exp = int(value.exp)
self._is_special = False
return self
# tuple/list conversion (possibly from as_tuple())
if isinstance(value, (list,tuple)):
if len(value) != 3:
raise ValueError('Invalid tuple size in creation of Decimal '
'from list or tuple. The list or tuple '
'should have exactly three elements.')
# process sign. The isinstance test rejects floats
if not (isinstance(value[0], (int, long)) and value[0] in (0,1)):
raise ValueError("Invalid sign. The first value in the tuple "
"should be an integer; either 0 for a "
"positive number or 1 for a negative number.")
self._sign = value[0]
if value[2] == 'F':
# infinity: value[1] is ignored
self._int = '0'
self._exp = value[2]
self._is_special = True
else:
# process and validate the digits in value[1]
digits = []
for digit in value[1]:
if isinstance(digit, (int, long)) and 0 <= digit <= 9:
# skip leading zeros
if digits or digit != 0:
digits.append(digit)
else:
raise ValueError("The second value in the tuple must "
"be composed of integers in the range "
"0 through 9.")
if value[2] in ('n', 'N'):
# NaN: digits form the diagnostic
self._int = ''.join(map(str, digits))
self._exp = value[2]
self._is_special = True
elif isinstance(value[2], (int, long)):
# finite number: digits give the coefficient
self._int = ''.join(map(str, digits or [0]))
self._exp = value[2]
self._is_special = False
else:
raise ValueError("The third value in the tuple must "
"be an integer, or one of the "
"strings 'F', 'n', 'N'.")
return self
if isinstance(value, float):
value = Decimal.from_float(value)
self._exp = value._exp
self._sign = value._sign
self._int = value._int
self._is_special = value._is_special
return self
raise TypeError("Cannot convert %r to Decimal" % value)
|
Create a decimal point instance.
>>> Decimal('3.14') # string input
Decimal('3.14')
>>> Decimal((0, (3, 1, 4), -2)) # tuple (sign, digit_tuple, exponent)
Decimal('3.14')
>>> Decimal(314) # int or long
Decimal('314')
>>> Decimal(Decimal(314)) # another decimal instance
Decimal('314')
>>> Decimal(' 3.14 \n') # leading and trailing whitespace okay
Decimal('3.14')
|
__new__
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def from_float(cls, f):
"""Converts a float to a decimal number, exactly.
Note that Decimal.from_float(0.1) is not the same as Decimal('0.1').
Since 0.1 is not exactly representable in binary floating point, the
value is stored as the nearest representable value which is
0x1.999999999999ap-4. The exact equivalent of the value in decimal
is 0.1000000000000000055511151231257827021181583404541015625.
>>> Decimal.from_float(0.1)
Decimal('0.1000000000000000055511151231257827021181583404541015625')
>>> Decimal.from_float(float('nan'))
Decimal('NaN')
>>> Decimal.from_float(float('inf'))
Decimal('Infinity')
>>> Decimal.from_float(-float('inf'))
Decimal('-Infinity')
>>> Decimal.from_float(-0.0)
Decimal('-0')
"""
if isinstance(f, (int, long)): # handle integer inputs
return cls(f)
if _math.isinf(f) or _math.isnan(f): # raises TypeError if not a float
return cls(repr(f))
if _math.copysign(1.0, f) == 1.0:
sign = 0
else:
sign = 1
n, d = abs(f).as_integer_ratio()
k = d.bit_length() - 1
result = _dec_from_triple(sign, str(n*5**k), -k)
if cls is Decimal:
return result
else:
return cls(result)
|
Converts a float to a decimal number, exactly.
Note that Decimal.from_float(0.1) is not the same as Decimal('0.1').
Since 0.1 is not exactly representable in binary floating point, the
value is stored as the nearest representable value which is
0x1.999999999999ap-4. The exact equivalent of the value in decimal
is 0.1000000000000000055511151231257827021181583404541015625.
>>> Decimal.from_float(0.1)
Decimal('0.1000000000000000055511151231257827021181583404541015625')
>>> Decimal.from_float(float('nan'))
Decimal('NaN')
>>> Decimal.from_float(float('inf'))
Decimal('Infinity')
>>> Decimal.from_float(-float('inf'))
Decimal('-Infinity')
>>> Decimal.from_float(-0.0)
Decimal('-0')
|
from_float
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _isnan(self):
"""Returns whether the number is not actually one.
0 if a number
1 if NaN
2 if sNaN
"""
if self._is_special:
exp = self._exp
if exp == 'n':
return 1
elif exp == 'N':
return 2
return 0
|
Returns whether the number is not actually one.
0 if a number
1 if NaN
2 if sNaN
|
_isnan
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _isinfinity(self):
"""Returns whether the number is infinite
0 if finite or not a number
1 if +INF
-1 if -INF
"""
if self._exp == 'F':
if self._sign:
return -1
return 1
return 0
|
Returns whether the number is infinite
0 if finite or not a number
1 if +INF
-1 if -INF
|
_isinfinity
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _check_nans(self, other=None, context=None):
"""Returns whether the number is not actually one.
if self, other are sNaN, signal
if self, other are NaN return nan
return 0
Done before operations.
"""
self_is_nan = self._isnan()
if other is None:
other_is_nan = False
else:
other_is_nan = other._isnan()
if self_is_nan or other_is_nan:
if context is None:
context = getcontext()
if self_is_nan == 2:
return context._raise_error(InvalidOperation, 'sNaN',
self)
if other_is_nan == 2:
return context._raise_error(InvalidOperation, 'sNaN',
other)
if self_is_nan:
return self._fix_nan(context)
return other._fix_nan(context)
return 0
|
Returns whether the number is not actually one.
if self, other are sNaN, signal
if self, other are NaN return nan
return 0
Done before operations.
|
_check_nans
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _compare_check_nans(self, other, context):
"""Version of _check_nans used for the signaling comparisons
compare_signal, __le__, __lt__, __ge__, __gt__.
Signal InvalidOperation if either self or other is a (quiet
or signaling) NaN. Signaling NaNs take precedence over quiet
NaNs.
Return 0 if neither operand is a NaN.
"""
if context is None:
context = getcontext()
if self._is_special or other._is_special:
if self.is_snan():
return context._raise_error(InvalidOperation,
'comparison involving sNaN',
self)
elif other.is_snan():
return context._raise_error(InvalidOperation,
'comparison involving sNaN',
other)
elif self.is_qnan():
return context._raise_error(InvalidOperation,
'comparison involving NaN',
self)
elif other.is_qnan():
return context._raise_error(InvalidOperation,
'comparison involving NaN',
other)
return 0
|
Version of _check_nans used for the signaling comparisons
compare_signal, __le__, __lt__, __ge__, __gt__.
Signal InvalidOperation if either self or other is a (quiet
or signaling) NaN. Signaling NaNs take precedence over quiet
NaNs.
Return 0 if neither operand is a NaN.
|
_compare_check_nans
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _cmp(self, other):
"""Compare the two non-NaN decimal instances self and other.
Returns -1 if self < other, 0 if self == other and 1
if self > other. This routine is for internal use only."""
if self._is_special or other._is_special:
self_inf = self._isinfinity()
other_inf = other._isinfinity()
if self_inf == other_inf:
return 0
elif self_inf < other_inf:
return -1
else:
return 1
# check for zeros; Decimal('0') == Decimal('-0')
if not self:
if not other:
return 0
else:
return -((-1)**other._sign)
if not other:
return (-1)**self._sign
# If different signs, neg one is less
if other._sign < self._sign:
return -1
if self._sign < other._sign:
return 1
self_adjusted = self.adjusted()
other_adjusted = other.adjusted()
if self_adjusted == other_adjusted:
self_padded = self._int + '0'*(self._exp - other._exp)
other_padded = other._int + '0'*(other._exp - self._exp)
if self_padded == other_padded:
return 0
elif self_padded < other_padded:
return -(-1)**self._sign
else:
return (-1)**self._sign
elif self_adjusted > other_adjusted:
return (-1)**self._sign
else: # self_adjusted < other_adjusted
return -((-1)**self._sign)
|
Compare the two non-NaN decimal instances self and other.
Returns -1 if self < other, 0 if self == other and 1
if self > other. This routine is for internal use only.
|
_cmp
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def compare(self, other, context=None):
"""Compares one to another.
-1 => a < b
0 => a = b
1 => a > b
NaN => one is NaN
Like __cmp__, but returns Decimal instances.
"""
other = _convert_other(other, raiseit=True)
# Compare(NaN, NaN) = NaN
if (self._is_special or other and other._is_special):
ans = self._check_nans(other, context)
if ans:
return ans
return Decimal(self._cmp(other))
|
Compares one to another.
-1 => a < b
0 => a = b
1 => a > b
NaN => one is NaN
Like __cmp__, but returns Decimal instances.
|
compare
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def __repr__(self):
"""Represents the number as an instance of Decimal."""
# Invariant: eval(repr(d)) == d
return "Decimal('%s')" % str(self)
|
Represents the number as an instance of Decimal.
|
__repr__
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def __str__(self, eng=False, context=None):
"""Return string representation of the number in scientific notation.
Captures all of the information in the underlying representation.
"""
sign = ['', '-'][self._sign]
if self._is_special:
if self._exp == 'F':
return sign + 'Infinity'
elif self._exp == 'n':
return sign + 'NaN' + self._int
else: # self._exp == 'N'
return sign + 'sNaN' + self._int
# number of digits of self._int to left of decimal point
leftdigits = self._exp + len(self._int)
# dotplace is number of digits of self._int to the left of the
# decimal point in the mantissa of the output string (that is,
# after adjusting the exponent)
if self._exp <= 0 and leftdigits > -6:
# no exponent required
dotplace = leftdigits
elif not eng:
# usual scientific notation: 1 digit on left of the point
dotplace = 1
elif self._int == '0':
# engineering notation, zero
dotplace = (leftdigits + 1) % 3 - 1
else:
# engineering notation, nonzero
dotplace = (leftdigits - 1) % 3 + 1
if dotplace <= 0:
intpart = '0'
fracpart = '.' + '0'*(-dotplace) + self._int
elif dotplace >= len(self._int):
intpart = self._int+'0'*(dotplace-len(self._int))
fracpart = ''
else:
intpart = self._int[:dotplace]
fracpart = '.' + self._int[dotplace:]
if leftdigits == dotplace:
exp = ''
else:
if context is None:
context = getcontext()
exp = ['e', 'E'][context.capitals] + "%+d" % (leftdigits-dotplace)
return sign + intpart + fracpart + exp
|
Return string representation of the number in scientific notation.
Captures all of the information in the underlying representation.
|
__str__
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def __neg__(self, context=None):
"""Returns a copy with the sign switched.
Rounds, if it has reason.
"""
if self._is_special:
ans = self._check_nans(context=context)
if ans:
return ans
if context is None:
context = getcontext()
if not self and context.rounding != ROUND_FLOOR:
# -Decimal('0') is Decimal('0'), not Decimal('-0'), except
# in ROUND_FLOOR rounding mode.
ans = self.copy_abs()
else:
ans = self.copy_negate()
return ans._fix(context)
|
Returns a copy with the sign switched.
Rounds, if it has reason.
|
__neg__
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def __pos__(self, context=None):
"""Returns a copy, unless it is a sNaN.
Rounds the number (if more than precision digits)
"""
if self._is_special:
ans = self._check_nans(context=context)
if ans:
return ans
if context is None:
context = getcontext()
if not self and context.rounding != ROUND_FLOOR:
# + (-0) = 0, except in ROUND_FLOOR rounding mode.
ans = self.copy_abs()
else:
ans = Decimal(self)
return ans._fix(context)
|
Returns a copy, unless it is a sNaN.
Rounds the number (if more than precision digits)
|
__pos__
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def __abs__(self, round=True, context=None):
"""Returns the absolute value of self.
If the keyword argument 'round' is false, do not round. The
expression self.__abs__(round=False) is equivalent to
self.copy_abs().
"""
if not round:
return self.copy_abs()
if self._is_special:
ans = self._check_nans(context=context)
if ans:
return ans
if self._sign:
ans = self.__neg__(context=context)
else:
ans = self.__pos__(context=context)
return ans
|
Returns the absolute value of self.
If the keyword argument 'round' is false, do not round. The
expression self.__abs__(round=False) is equivalent to
self.copy_abs().
|
__abs__
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def __add__(self, other, context=None):
"""Returns self + other.
-INF + INF (or the reverse) cause InvalidOperation errors.
"""
other = _convert_other(other)
if other is NotImplemented:
return other
if context is None:
context = getcontext()
if self._is_special or other._is_special:
ans = self._check_nans(other, context)
if ans:
return ans
if self._isinfinity():
# If both INF, same sign => same as both, opposite => error.
if self._sign != other._sign and other._isinfinity():
return context._raise_error(InvalidOperation, '-INF + INF')
return Decimal(self)
if other._isinfinity():
return Decimal(other) # Can't both be infinity here
exp = min(self._exp, other._exp)
negativezero = 0
if context.rounding == ROUND_FLOOR and self._sign != other._sign:
# If the answer is 0, the sign should be negative, in this case.
negativezero = 1
if not self and not other:
sign = min(self._sign, other._sign)
if negativezero:
sign = 1
ans = _dec_from_triple(sign, '0', exp)
ans = ans._fix(context)
return ans
if not self:
exp = max(exp, other._exp - context.prec-1)
ans = other._rescale(exp, context.rounding)
ans = ans._fix(context)
return ans
if not other:
exp = max(exp, self._exp - context.prec-1)
ans = self._rescale(exp, context.rounding)
ans = ans._fix(context)
return ans
op1 = _WorkRep(self)
op2 = _WorkRep(other)
op1, op2 = _normalize(op1, op2, context.prec)
result = _WorkRep()
if op1.sign != op2.sign:
# Equal and opposite
if op1.int == op2.int:
ans = _dec_from_triple(negativezero, '0', exp)
ans = ans._fix(context)
return ans
if op1.int < op2.int:
op1, op2 = op2, op1
# OK, now abs(op1) > abs(op2)
if op1.sign == 1:
result.sign = 1
op1.sign, op2.sign = op2.sign, op1.sign
else:
result.sign = 0
# So we know the sign, and op1 > 0.
elif op1.sign == 1:
result.sign = 1
op1.sign, op2.sign = (0, 0)
else:
result.sign = 0
# Now, op1 > abs(op2) > 0
if op2.sign == 0:
result.int = op1.int + op2.int
else:
result.int = op1.int - op2.int
result.exp = op1.exp
ans = Decimal(result)
ans = ans._fix(context)
return ans
|
Returns self + other.
-INF + INF (or the reverse) cause InvalidOperation errors.
|
__add__
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def __mul__(self, other, context=None):
"""Return self * other.
(+-) INF * 0 (or its reverse) raise InvalidOperation.
"""
other = _convert_other(other)
if other is NotImplemented:
return other
if context is None:
context = getcontext()
resultsign = self._sign ^ other._sign
if self._is_special or other._is_special:
ans = self._check_nans(other, context)
if ans:
return ans
if self._isinfinity():
if not other:
return context._raise_error(InvalidOperation, '(+-)INF * 0')
return _SignedInfinity[resultsign]
if other._isinfinity():
if not self:
return context._raise_error(InvalidOperation, '0 * (+-)INF')
return _SignedInfinity[resultsign]
resultexp = self._exp + other._exp
# Special case for multiplying by zero
if not self or not other:
ans = _dec_from_triple(resultsign, '0', resultexp)
# Fixing in case the exponent is out of bounds
ans = ans._fix(context)
return ans
# Special case for multiplying by power of 10
if self._int == '1':
ans = _dec_from_triple(resultsign, other._int, resultexp)
ans = ans._fix(context)
return ans
if other._int == '1':
ans = _dec_from_triple(resultsign, self._int, resultexp)
ans = ans._fix(context)
return ans
op1 = _WorkRep(self)
op2 = _WorkRep(other)
ans = _dec_from_triple(resultsign, str(op1.int * op2.int), resultexp)
ans = ans._fix(context)
return ans
|
Return self * other.
(+-) INF * 0 (or its reverse) raise InvalidOperation.
|
__mul__
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _divide(self, other, context):
"""Return (self // other, self % other), to context.prec precision.
Assumes that neither self nor other is a NaN, that self is not
infinite and that other is nonzero.
"""
sign = self._sign ^ other._sign
if other._isinfinity():
ideal_exp = self._exp
else:
ideal_exp = min(self._exp, other._exp)
expdiff = self.adjusted() - other.adjusted()
if not self or other._isinfinity() or expdiff <= -2:
return (_dec_from_triple(sign, '0', 0),
self._rescale(ideal_exp, context.rounding))
if expdiff <= context.prec:
op1 = _WorkRep(self)
op2 = _WorkRep(other)
if op1.exp >= op2.exp:
op1.int *= 10**(op1.exp - op2.exp)
else:
op2.int *= 10**(op2.exp - op1.exp)
q, r = divmod(op1.int, op2.int)
if q < 10**context.prec:
return (_dec_from_triple(sign, str(q), 0),
_dec_from_triple(self._sign, str(r), ideal_exp))
# Here the quotient is too large to be representable
ans = context._raise_error(DivisionImpossible,
'quotient too large in //, % or divmod')
return ans, ans
|
Return (self // other, self % other), to context.prec precision.
Assumes that neither self nor other is a NaN, that self is not
infinite and that other is nonzero.
|
_divide
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def remainder_near(self, other, context=None):
"""
Remainder nearest to 0- abs(remainder-near) <= other/2
"""
if context is None:
context = getcontext()
other = _convert_other(other, raiseit=True)
ans = self._check_nans(other, context)
if ans:
return ans
# self == +/-infinity -> InvalidOperation
if self._isinfinity():
return context._raise_error(InvalidOperation,
'remainder_near(infinity, x)')
# other == 0 -> either InvalidOperation or DivisionUndefined
if not other:
if self:
return context._raise_error(InvalidOperation,
'remainder_near(x, 0)')
else:
return context._raise_error(DivisionUndefined,
'remainder_near(0, 0)')
# other = +/-infinity -> remainder = self
if other._isinfinity():
ans = Decimal(self)
return ans._fix(context)
# self = 0 -> remainder = self, with ideal exponent
ideal_exponent = min(self._exp, other._exp)
if not self:
ans = _dec_from_triple(self._sign, '0', ideal_exponent)
return ans._fix(context)
# catch most cases of large or small quotient
expdiff = self.adjusted() - other.adjusted()
if expdiff >= context.prec + 1:
# expdiff >= prec+1 => abs(self/other) > 10**prec
return context._raise_error(DivisionImpossible)
if expdiff <= -2:
# expdiff <= -2 => abs(self/other) < 0.1
ans = self._rescale(ideal_exponent, context.rounding)
return ans._fix(context)
# adjust both arguments to have the same exponent, then divide
op1 = _WorkRep(self)
op2 = _WorkRep(other)
if op1.exp >= op2.exp:
op1.int *= 10**(op1.exp - op2.exp)
else:
op2.int *= 10**(op2.exp - op1.exp)
q, r = divmod(op1.int, op2.int)
# remainder is r*10**ideal_exponent; other is +/-op2.int *
# 10**ideal_exponent. Apply correction to ensure that
# abs(remainder) <= abs(other)/2
if 2*r + (q&1) > op2.int:
r -= op2.int
q += 1
if q >= 10**context.prec:
return context._raise_error(DivisionImpossible)
# result has same sign as self unless r is negative
sign = self._sign
if r < 0:
sign = 1-sign
r = -r
ans = _dec_from_triple(sign, str(r), ideal_exponent)
return ans._fix(context)
|
Remainder nearest to 0- abs(remainder-near) <= other/2
|
remainder_near
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def __int__(self):
"""Converts self to an int, truncating if necessary."""
if self._is_special:
if self._isnan():
raise ValueError("Cannot convert NaN to integer")
elif self._isinfinity():
raise OverflowError("Cannot convert infinity to integer")
s = (-1)**self._sign
if self._exp >= 0:
return s*int(self._int)*10**self._exp
else:
return s*int(self._int[:self._exp] or '0')
|
Converts self to an int, truncating if necessary.
|
__int__
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _fix_nan(self, context):
"""Decapitate the payload of a NaN to fit the context"""
payload = self._int
# maximum length of payload is precision if _clamp=0,
# precision-1 if _clamp=1.
max_payload_len = context.prec - context._clamp
if len(payload) > max_payload_len:
payload = payload[len(payload)-max_payload_len:].lstrip('0')
return _dec_from_triple(self._sign, payload, self._exp, True)
return Decimal(self)
|
Decapitate the payload of a NaN to fit the context
|
_fix_nan
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _fix(self, context):
"""Round if it is necessary to keep self within prec precision.
Rounds and fixes the exponent. Does not raise on a sNaN.
Arguments:
self - Decimal instance
context - context used.
"""
if self._is_special:
if self._isnan():
# decapitate payload if necessary
return self._fix_nan(context)
else:
# self is +/-Infinity; return unaltered
return Decimal(self)
# if self is zero then exponent should be between Etiny and
# Emax if _clamp==0, and between Etiny and Etop if _clamp==1.
Etiny = context.Etiny()
Etop = context.Etop()
if not self:
exp_max = [context.Emax, Etop][context._clamp]
new_exp = min(max(self._exp, Etiny), exp_max)
if new_exp != self._exp:
context._raise_error(Clamped)
return _dec_from_triple(self._sign, '0', new_exp)
else:
return Decimal(self)
# exp_min is the smallest allowable exponent of the result,
# equal to max(self.adjusted()-context.prec+1, Etiny)
exp_min = len(self._int) + self._exp - context.prec
if exp_min > Etop:
# overflow: exp_min > Etop iff self.adjusted() > Emax
ans = context._raise_error(Overflow, 'above Emax', self._sign)
context._raise_error(Inexact)
context._raise_error(Rounded)
return ans
self_is_subnormal = exp_min < Etiny
if self_is_subnormal:
exp_min = Etiny
# round if self has too many digits
if self._exp < exp_min:
digits = len(self._int) + self._exp - exp_min
if digits < 0:
self = _dec_from_triple(self._sign, '1', exp_min-1)
digits = 0
rounding_method = self._pick_rounding_function[context.rounding]
changed = rounding_method(self, digits)
coeff = self._int[:digits] or '0'
if changed > 0:
coeff = str(int(coeff)+1)
if len(coeff) > context.prec:
coeff = coeff[:-1]
exp_min += 1
# check whether the rounding pushed the exponent out of range
if exp_min > Etop:
ans = context._raise_error(Overflow, 'above Emax', self._sign)
else:
ans = _dec_from_triple(self._sign, coeff, exp_min)
# raise the appropriate signals, taking care to respect
# the precedence described in the specification
if changed and self_is_subnormal:
context._raise_error(Underflow)
if self_is_subnormal:
context._raise_error(Subnormal)
if changed:
context._raise_error(Inexact)
context._raise_error(Rounded)
if not ans:
# raise Clamped on underflow to 0
context._raise_error(Clamped)
return ans
if self_is_subnormal:
context._raise_error(Subnormal)
# fold down if _clamp == 1 and self has too few digits
if context._clamp == 1 and self._exp > Etop:
context._raise_error(Clamped)
self_padded = self._int + '0'*(self._exp - Etop)
return _dec_from_triple(self._sign, self_padded, Etop)
# here self was representable to begin with; return unchanged
return Decimal(self)
|
Round if it is necessary to keep self within prec precision.
Rounds and fixes the exponent. Does not raise on a sNaN.
Arguments:
self - Decimal instance
context - context used.
|
_fix
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _round_down(self, prec):
"""Also known as round-towards-0, truncate."""
if _all_zeros(self._int, prec):
return 0
else:
return -1
|
Also known as round-towards-0, truncate.
|
_round_down
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _round_half_even(self, prec):
"""Round 5 to even, rest to nearest."""
if _exact_half(self._int, prec) and \
(prec == 0 or self._int[prec-1] in '02468'):
return -1
else:
return self._round_half_up(prec)
|
Round 5 to even, rest to nearest.
|
_round_half_even
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _round_ceiling(self, prec):
"""Rounds up (not away from 0 if negative.)"""
if self._sign:
return self._round_down(prec)
else:
return -self._round_down(prec)
|
Rounds up (not away from 0 if negative.)
|
_round_ceiling
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _round_floor(self, prec):
"""Rounds down (not towards 0 if negative)"""
if not self._sign:
return self._round_down(prec)
else:
return -self._round_down(prec)
|
Rounds down (not towards 0 if negative)
|
_round_floor
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _round_05up(self, prec):
"""Round down unless digit prec-1 is 0 or 5."""
if prec and self._int[prec-1] not in '05':
return self._round_down(prec)
else:
return -self._round_down(prec)
|
Round down unless digit prec-1 is 0 or 5.
|
_round_05up
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def fma(self, other, third, context=None):
"""Fused multiply-add.
Returns self*other+third with no rounding of the intermediate
product self*other.
self and other are multiplied together, with no rounding of
the result. The third operand is then added to the result,
and a single final rounding is performed.
"""
other = _convert_other(other, raiseit=True)
# compute product; raise InvalidOperation if either operand is
# a signaling NaN or if the product is zero times infinity.
if self._is_special or other._is_special:
if context is None:
context = getcontext()
if self._exp == 'N':
return context._raise_error(InvalidOperation, 'sNaN', self)
if other._exp == 'N':
return context._raise_error(InvalidOperation, 'sNaN', other)
if self._exp == 'n':
product = self
elif other._exp == 'n':
product = other
elif self._exp == 'F':
if not other:
return context._raise_error(InvalidOperation,
'INF * 0 in fma')
product = _SignedInfinity[self._sign ^ other._sign]
elif other._exp == 'F':
if not self:
return context._raise_error(InvalidOperation,
'0 * INF in fma')
product = _SignedInfinity[self._sign ^ other._sign]
else:
product = _dec_from_triple(self._sign ^ other._sign,
str(int(self._int) * int(other._int)),
self._exp + other._exp)
third = _convert_other(third, raiseit=True)
return product.__add__(third, context)
|
Fused multiply-add.
Returns self*other+third with no rounding of the intermediate
product self*other.
self and other are multiplied together, with no rounding of
the result. The third operand is then added to the result,
and a single final rounding is performed.
|
fma
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _power_exact(self, other, p):
"""Attempt to compute self**other exactly.
Given Decimals self and other and an integer p, attempt to
compute an exact result for the power self**other, with p
digits of precision. Return None if self**other is not
exactly representable in p digits.
Assumes that elimination of special cases has already been
performed: self and other must both be nonspecial; self must
be positive and not numerically equal to 1; other must be
nonzero. For efficiency, other._exp should not be too large,
so that 10**abs(other._exp) is a feasible calculation."""
# In the comments below, we write x for the value of self and y for the
# value of other. Write x = xc*10**xe and abs(y) = yc*10**ye, with xc
# and yc positive integers not divisible by 10.
# The main purpose of this method is to identify the *failure*
# of x**y to be exactly representable with as little effort as
# possible. So we look for cheap and easy tests that
# eliminate the possibility of x**y being exact. Only if all
# these tests are passed do we go on to actually compute x**y.
# Here's the main idea. Express y as a rational number m/n, with m and
# n relatively prime and n>0. Then for x**y to be exactly
# representable (at *any* precision), xc must be the nth power of a
# positive integer and xe must be divisible by n. If y is negative
# then additionally xc must be a power of either 2 or 5, hence a power
# of 2**n or 5**n.
#
# There's a limit to how small |y| can be: if y=m/n as above
# then:
#
# (1) if xc != 1 then for the result to be representable we
# need xc**(1/n) >= 2, and hence also xc**|y| >= 2. So
# if |y| <= 1/nbits(xc) then xc < 2**nbits(xc) <=
# 2**(1/|y|), hence xc**|y| < 2 and the result is not
# representable.
#
# (2) if xe != 0, |xe|*(1/n) >= 1, so |xe|*|y| >= 1. Hence if
# |y| < 1/|xe| then the result is not representable.
#
# Note that since x is not equal to 1, at least one of (1) and
# (2) must apply. Now |y| < 1/nbits(xc) iff |yc|*nbits(xc) <
# 10**-ye iff len(str(|yc|*nbits(xc)) <= -ye.
#
# There's also a limit to how large y can be, at least if it's
# positive: the normalized result will have coefficient xc**y,
# so if it's representable then xc**y < 10**p, and y <
# p/log10(xc). Hence if y*log10(xc) >= p then the result is
# not exactly representable.
# if len(str(abs(yc*xe)) <= -ye then abs(yc*xe) < 10**-ye,
# so |y| < 1/xe and the result is not representable.
# Similarly, len(str(abs(yc)*xc_bits)) <= -ye implies |y|
# < 1/nbits(xc).
x = _WorkRep(self)
xc, xe = x.int, x.exp
while xc % 10 == 0:
xc //= 10
xe += 1
y = _WorkRep(other)
yc, ye = y.int, y.exp
while yc % 10 == 0:
yc //= 10
ye += 1
# case where xc == 1: result is 10**(xe*y), with xe*y
# required to be an integer
if xc == 1:
xe *= yc
# result is now 10**(xe * 10**ye); xe * 10**ye must be integral
while xe % 10 == 0:
xe //= 10
ye += 1
if ye < 0:
return None
exponent = xe * 10**ye
if y.sign == 1:
exponent = -exponent
# if other is a nonnegative integer, use ideal exponent
if other._isinteger() and other._sign == 0:
ideal_exponent = self._exp*int(other)
zeros = min(exponent-ideal_exponent, p-1)
else:
zeros = 0
return _dec_from_triple(0, '1' + '0'*zeros, exponent-zeros)
# case where y is negative: xc must be either a power
# of 2 or a power of 5.
if y.sign == 1:
last_digit = xc % 10
if last_digit in (2,4,6,8):
# quick test for power of 2
if xc & -xc != xc:
return None
# now xc is a power of 2; e is its exponent
e = _nbits(xc)-1
# We now have:
#
# x = 2**e * 10**xe, e > 0, and y < 0.
#
# The exact result is:
#
# x**y = 5**(-e*y) * 10**(e*y + xe*y)
#
# provided that both e*y and xe*y are integers. Note that if
# 5**(-e*y) >= 10**p, then the result can't be expressed
# exactly with p digits of precision.
#
# Using the above, we can guard against large values of ye.
# 93/65 is an upper bound for log(10)/log(5), so if
#
# ye >= len(str(93*p//65))
#
# then
#
# -e*y >= -y >= 10**ye > 93*p/65 > p*log(10)/log(5),
#
# so 5**(-e*y) >= 10**p, and the coefficient of the result
# can't be expressed in p digits.
# emax >= largest e such that 5**e < 10**p.
emax = p*93//65
if ye >= len(str(emax)):
return None
# Find -e*y and -xe*y; both must be integers
e = _decimal_lshift_exact(e * yc, ye)
xe = _decimal_lshift_exact(xe * yc, ye)
if e is None or xe is None:
return None
if e > emax:
return None
xc = 5**e
elif last_digit == 5:
# e >= log_5(xc) if xc is a power of 5; we have
# equality all the way up to xc=5**2658
e = _nbits(xc)*28//65
xc, remainder = divmod(5**e, xc)
if remainder:
return None
while xc % 5 == 0:
xc //= 5
e -= 1
# Guard against large values of ye, using the same logic as in
# the 'xc is a power of 2' branch. 10/3 is an upper bound for
# log(10)/log(2).
emax = p*10//3
if ye >= len(str(emax)):
return None
e = _decimal_lshift_exact(e * yc, ye)
xe = _decimal_lshift_exact(xe * yc, ye)
if e is None or xe is None:
return None
if e > emax:
return None
xc = 2**e
else:
return None
if xc >= 10**p:
return None
xe = -e-xe
return _dec_from_triple(0, str(xc), xe)
# now y is positive; find m and n such that y = m/n
if ye >= 0:
m, n = yc*10**ye, 1
else:
if xe != 0 and len(str(abs(yc*xe))) <= -ye:
return None
xc_bits = _nbits(xc)
if xc != 1 and len(str(abs(yc)*xc_bits)) <= -ye:
return None
m, n = yc, 10**(-ye)
while m % 2 == n % 2 == 0:
m //= 2
n //= 2
while m % 5 == n % 5 == 0:
m //= 5
n //= 5
# compute nth root of xc*10**xe
if n > 1:
# if 1 < xc < 2**n then xc isn't an nth power
if xc != 1 and xc_bits <= n:
return None
xe, rem = divmod(xe, n)
if rem != 0:
return None
# compute nth root of xc using Newton's method
a = 1L << -(-_nbits(xc)//n) # initial estimate
while True:
q, r = divmod(xc, a**(n-1))
if a <= q:
break
else:
a = (a*(n-1) + q)//n
if not (a == q and r == 0):
return None
xc = a
# now xc*10**xe is the nth root of the original xc*10**xe
# compute mth power of xc*10**xe
# if m > p*100//_log10_lb(xc) then m > p/log10(xc), hence xc**m >
# 10**p and the result is not representable.
if xc > 1 and m > p*100//_log10_lb(xc):
return None
xc = xc**m
xe *= m
if xc > 10**p:
return None
# by this point the result *is* exactly representable
# adjust the exponent to get as close as possible to the ideal
# exponent, if necessary
str_xc = str(xc)
if other._isinteger() and other._sign == 0:
ideal_exponent = self._exp*int(other)
zeros = min(xe-ideal_exponent, p-len(str_xc))
else:
zeros = 0
return _dec_from_triple(0, str_xc+'0'*zeros, xe-zeros)
|
Attempt to compute self**other exactly.
Given Decimals self and other and an integer p, attempt to
compute an exact result for the power self**other, with p
digits of precision. Return None if self**other is not
exactly representable in p digits.
Assumes that elimination of special cases has already been
performed: self and other must both be nonspecial; self must
be positive and not numerically equal to 1; other must be
nonzero. For efficiency, other._exp should not be too large,
so that 10**abs(other._exp) is a feasible calculation.
|
_power_exact
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def __pow__(self, other, modulo=None, context=None):
"""Return self ** other [ % modulo].
With two arguments, compute self**other.
With three arguments, compute (self**other) % modulo. For the
three argument form, the following restrictions on the
arguments hold:
- all three arguments must be integral
- other must be nonnegative
- either self or other (or both) must be nonzero
- modulo must be nonzero and must have at most p digits,
where p is the context precision.
If any of these restrictions is violated the InvalidOperation
flag is raised.
The result of pow(self, other, modulo) is identical to the
result that would be obtained by computing (self**other) %
modulo with unbounded precision, but is computed more
efficiently. It is always exact.
"""
if modulo is not None:
return self._power_modulo(other, modulo, context)
other = _convert_other(other)
if other is NotImplemented:
return other
if context is None:
context = getcontext()
# either argument is a NaN => result is NaN
ans = self._check_nans(other, context)
if ans:
return ans
# 0**0 = NaN (!), x**0 = 1 for nonzero x (including +/-Infinity)
if not other:
if not self:
return context._raise_error(InvalidOperation, '0 ** 0')
else:
return _One
# result has sign 1 iff self._sign is 1 and other is an odd integer
result_sign = 0
if self._sign == 1:
if other._isinteger():
if not other._iseven():
result_sign = 1
else:
# -ve**noninteger = NaN
# (-0)**noninteger = 0**noninteger
if self:
return context._raise_error(InvalidOperation,
'x ** y with x negative and y not an integer')
# negate self, without doing any unwanted rounding
self = self.copy_negate()
# 0**(+ve or Inf)= 0; 0**(-ve or -Inf) = Infinity
if not self:
if other._sign == 0:
return _dec_from_triple(result_sign, '0', 0)
else:
return _SignedInfinity[result_sign]
# Inf**(+ve or Inf) = Inf; Inf**(-ve or -Inf) = 0
if self._isinfinity():
if other._sign == 0:
return _SignedInfinity[result_sign]
else:
return _dec_from_triple(result_sign, '0', 0)
# 1**other = 1, but the choice of exponent and the flags
# depend on the exponent of self, and on whether other is a
# positive integer, a negative integer, or neither
if self == _One:
if other._isinteger():
# exp = max(self._exp*max(int(other), 0),
# 1-context.prec) but evaluating int(other) directly
# is dangerous until we know other is small (other
# could be 1e999999999)
if other._sign == 1:
multiplier = 0
elif other > context.prec:
multiplier = context.prec
else:
multiplier = int(other)
exp = self._exp * multiplier
if exp < 1-context.prec:
exp = 1-context.prec
context._raise_error(Rounded)
else:
context._raise_error(Inexact)
context._raise_error(Rounded)
exp = 1-context.prec
return _dec_from_triple(result_sign, '1'+'0'*-exp, exp)
# compute adjusted exponent of self
self_adj = self.adjusted()
# self ** infinity is infinity if self > 1, 0 if self < 1
# self ** -infinity is infinity if self < 1, 0 if self > 1
if other._isinfinity():
if (other._sign == 0) == (self_adj < 0):
return _dec_from_triple(result_sign, '0', 0)
else:
return _SignedInfinity[result_sign]
# from here on, the result always goes through the call
# to _fix at the end of this function.
ans = None
exact = False
# crude test to catch cases of extreme overflow/underflow. If
# log10(self)*other >= 10**bound and bound >= len(str(Emax))
# then 10**bound >= 10**len(str(Emax)) >= Emax+1 and hence
# self**other >= 10**(Emax+1), so overflow occurs. The test
# for underflow is similar.
bound = self._log10_exp_bound() + other.adjusted()
if (self_adj >= 0) == (other._sign == 0):
# self > 1 and other +ve, or self < 1 and other -ve
# possibility of overflow
if bound >= len(str(context.Emax)):
ans = _dec_from_triple(result_sign, '1', context.Emax+1)
else:
# self > 1 and other -ve, or self < 1 and other +ve
# possibility of underflow to 0
Etiny = context.Etiny()
if bound >= len(str(-Etiny)):
ans = _dec_from_triple(result_sign, '1', Etiny-1)
# try for an exact result with precision +1
if ans is None:
ans = self._power_exact(other, context.prec + 1)
if ans is not None:
if result_sign == 1:
ans = _dec_from_triple(1, ans._int, ans._exp)
exact = True
# usual case: inexact result, x**y computed directly as exp(y*log(x))
if ans is None:
p = context.prec
x = _WorkRep(self)
xc, xe = x.int, x.exp
y = _WorkRep(other)
yc, ye = y.int, y.exp
if y.sign == 1:
yc = -yc
# compute correctly rounded result: start with precision +3,
# then increase precision until result is unambiguously roundable
extra = 3
while True:
coeff, exp = _dpower(xc, xe, yc, ye, p+extra)
if coeff % (5*10**(len(str(coeff))-p-1)):
break
extra += 3
ans = _dec_from_triple(result_sign, str(coeff), exp)
# unlike exp, ln and log10, the power function respects the
# rounding mode; no need to switch to ROUND_HALF_EVEN here
# There's a difficulty here when 'other' is not an integer and
# the result is exact. In this case, the specification
# requires that the Inexact flag be raised (in spite of
# exactness), but since the result is exact _fix won't do this
# for us. (Correspondingly, the Underflow signal should also
# be raised for subnormal results.) We can't directly raise
# these signals either before or after calling _fix, since
# that would violate the precedence for signals. So we wrap
# the ._fix call in a temporary context, and reraise
# afterwards.
if exact and not other._isinteger():
# pad with zeros up to length context.prec+1 if necessary; this
# ensures that the Rounded signal will be raised.
if len(ans._int) <= context.prec:
expdiff = context.prec + 1 - len(ans._int)
ans = _dec_from_triple(ans._sign, ans._int+'0'*expdiff,
ans._exp-expdiff)
# create a copy of the current context, with cleared flags/traps
newcontext = context.copy()
newcontext.clear_flags()
for exception in _signals:
newcontext.traps[exception] = 0
# round in the new context
ans = ans._fix(newcontext)
# raise Inexact, and if necessary, Underflow
newcontext._raise_error(Inexact)
if newcontext.flags[Subnormal]:
newcontext._raise_error(Underflow)
# propagate signals to the original context; _fix could
# have raised any of Overflow, Underflow, Subnormal,
# Inexact, Rounded, Clamped. Overflow needs the correct
# arguments. Note that the order of the exceptions is
# important here.
if newcontext.flags[Overflow]:
context._raise_error(Overflow, 'above Emax', ans._sign)
for exception in Underflow, Subnormal, Inexact, Rounded, Clamped:
if newcontext.flags[exception]:
context._raise_error(exception)
else:
ans = ans._fix(context)
return ans
|
Return self ** other [ % modulo].
With two arguments, compute self**other.
With three arguments, compute (self**other) % modulo. For the
three argument form, the following restrictions on the
arguments hold:
- all three arguments must be integral
- other must be nonnegative
- either self or other (or both) must be nonzero
- modulo must be nonzero and must have at most p digits,
where p is the context precision.
If any of these restrictions is violated the InvalidOperation
flag is raised.
The result of pow(self, other, modulo) is identical to the
result that would be obtained by computing (self**other) %
modulo with unbounded precision, but is computed more
efficiently. It is always exact.
|
__pow__
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def normalize(self, context=None):
"""Normalize- strip trailing 0s, change anything equal to 0 to 0e0"""
if context is None:
context = getcontext()
if self._is_special:
ans = self._check_nans(context=context)
if ans:
return ans
dup = self._fix(context)
if dup._isinfinity():
return dup
if not dup:
return _dec_from_triple(dup._sign, '0', 0)
exp_max = [context.Emax, context.Etop()][context._clamp]
end = len(dup._int)
exp = dup._exp
while dup._int[end-1] == '0' and exp < exp_max:
exp += 1
end -= 1
return _dec_from_triple(dup._sign, dup._int[:end], exp)
|
Normalize- strip trailing 0s, change anything equal to 0 to 0e0
|
normalize
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def quantize(self, exp, rounding=None, context=None, watchexp=True):
"""Quantize self so its exponent is the same as that of exp.
Similar to self._rescale(exp._exp) but with error checking.
"""
exp = _convert_other(exp, raiseit=True)
if context is None:
context = getcontext()
if rounding is None:
rounding = context.rounding
if self._is_special or exp._is_special:
ans = self._check_nans(exp, context)
if ans:
return ans
if exp._isinfinity() or self._isinfinity():
if exp._isinfinity() and self._isinfinity():
return Decimal(self) # if both are inf, it is OK
return context._raise_error(InvalidOperation,
'quantize with one INF')
# if we're not watching exponents, do a simple rescale
if not watchexp:
ans = self._rescale(exp._exp, rounding)
# raise Inexact and Rounded where appropriate
if ans._exp > self._exp:
context._raise_error(Rounded)
if ans != self:
context._raise_error(Inexact)
return ans
# exp._exp should be between Etiny and Emax
if not (context.Etiny() <= exp._exp <= context.Emax):
return context._raise_error(InvalidOperation,
'target exponent out of bounds in quantize')
if not self:
ans = _dec_from_triple(self._sign, '0', exp._exp)
return ans._fix(context)
self_adjusted = self.adjusted()
if self_adjusted > context.Emax:
return context._raise_error(InvalidOperation,
'exponent of quantize result too large for current context')
if self_adjusted - exp._exp + 1 > context.prec:
return context._raise_error(InvalidOperation,
'quantize result has too many digits for current context')
ans = self._rescale(exp._exp, rounding)
if ans.adjusted() > context.Emax:
return context._raise_error(InvalidOperation,
'exponent of quantize result too large for current context')
if len(ans._int) > context.prec:
return context._raise_error(InvalidOperation,
'quantize result has too many digits for current context')
# raise appropriate flags
if ans and ans.adjusted() < context.Emin:
context._raise_error(Subnormal)
if ans._exp > self._exp:
if ans != self:
context._raise_error(Inexact)
context._raise_error(Rounded)
# call to fix takes care of any necessary folddown, and
# signals Clamped if necessary
ans = ans._fix(context)
return ans
|
Quantize self so its exponent is the same as that of exp.
Similar to self._rescale(exp._exp) but with error checking.
|
quantize
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def same_quantum(self, other):
"""Return True if self and other have the same exponent; otherwise
return False.
If either operand is a special value, the following rules are used:
* return True if both operands are infinities
* return True if both operands are NaNs
* otherwise, return False.
"""
other = _convert_other(other, raiseit=True)
if self._is_special or other._is_special:
return (self.is_nan() and other.is_nan() or
self.is_infinite() and other.is_infinite())
return self._exp == other._exp
|
Return True if self and other have the same exponent; otherwise
return False.
If either operand is a special value, the following rules are used:
* return True if both operands are infinities
* return True if both operands are NaNs
* otherwise, return False.
|
same_quantum
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _rescale(self, exp, rounding):
"""Rescale self so that the exponent is exp, either by padding with zeros
or by truncating digits, using the given rounding mode.
Specials are returned without change. This operation is
quiet: it raises no flags, and uses no information from the
context.
exp = exp to scale to (an integer)
rounding = rounding mode
"""
if self._is_special:
return Decimal(self)
if not self:
return _dec_from_triple(self._sign, '0', exp)
if self._exp >= exp:
# pad answer with zeros if necessary
return _dec_from_triple(self._sign,
self._int + '0'*(self._exp - exp), exp)
# too many digits; round and lose data. If self.adjusted() <
# exp-1, replace self by 10**(exp-1) before rounding
digits = len(self._int) + self._exp - exp
if digits < 0:
self = _dec_from_triple(self._sign, '1', exp-1)
digits = 0
this_function = self._pick_rounding_function[rounding]
changed = this_function(self, digits)
coeff = self._int[:digits] or '0'
if changed == 1:
coeff = str(int(coeff)+1)
return _dec_from_triple(self._sign, coeff, exp)
|
Rescale self so that the exponent is exp, either by padding with zeros
or by truncating digits, using the given rounding mode.
Specials are returned without change. This operation is
quiet: it raises no flags, and uses no information from the
context.
exp = exp to scale to (an integer)
rounding = rounding mode
|
_rescale
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _round(self, places, rounding):
"""Round a nonzero, nonspecial Decimal to a fixed number of
significant figures, using the given rounding mode.
Infinities, NaNs and zeros are returned unaltered.
This operation is quiet: it raises no flags, and uses no
information from the context.
"""
if places <= 0:
raise ValueError("argument should be at least 1 in _round")
if self._is_special or not self:
return Decimal(self)
ans = self._rescale(self.adjusted()+1-places, rounding)
# it can happen that the rescale alters the adjusted exponent;
# for example when rounding 99.97 to 3 significant figures.
# When this happens we end up with an extra 0 at the end of
# the number; a second rescale fixes this.
if ans.adjusted() != self.adjusted():
ans = ans._rescale(ans.adjusted()+1-places, rounding)
return ans
|
Round a nonzero, nonspecial Decimal to a fixed number of
significant figures, using the given rounding mode.
Infinities, NaNs and zeros are returned unaltered.
This operation is quiet: it raises no flags, and uses no
information from the context.
|
_round
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def to_integral_exact(self, rounding=None, context=None):
"""Rounds to a nearby integer.
If no rounding mode is specified, take the rounding mode from
the context. This method raises the Rounded and Inexact flags
when appropriate.
See also: to_integral_value, which does exactly the same as
this method except that it doesn't raise Inexact or Rounded.
"""
if self._is_special:
ans = self._check_nans(context=context)
if ans:
return ans
return Decimal(self)
if self._exp >= 0:
return Decimal(self)
if not self:
return _dec_from_triple(self._sign, '0', 0)
if context is None:
context = getcontext()
if rounding is None:
rounding = context.rounding
ans = self._rescale(0, rounding)
if ans != self:
context._raise_error(Inexact)
context._raise_error(Rounded)
return ans
|
Rounds to a nearby integer.
If no rounding mode is specified, take the rounding mode from
the context. This method raises the Rounded and Inexact flags
when appropriate.
See also: to_integral_value, which does exactly the same as
this method except that it doesn't raise Inexact or Rounded.
|
to_integral_exact
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def to_integral_value(self, rounding=None, context=None):
"""Rounds to the nearest integer, without raising inexact, rounded."""
if context is None:
context = getcontext()
if rounding is None:
rounding = context.rounding
if self._is_special:
ans = self._check_nans(context=context)
if ans:
return ans
return Decimal(self)
if self._exp >= 0:
return Decimal(self)
else:
return self._rescale(0, rounding)
|
Rounds to the nearest integer, without raising inexact, rounded.
|
to_integral_value
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def sqrt(self, context=None):
"""Return the square root of self."""
if context is None:
context = getcontext()
if self._is_special:
ans = self._check_nans(context=context)
if ans:
return ans
if self._isinfinity() and self._sign == 0:
return Decimal(self)
if not self:
# exponent = self._exp // 2. sqrt(-0) = -0
ans = _dec_from_triple(self._sign, '0', self._exp // 2)
return ans._fix(context)
if self._sign == 1:
return context._raise_error(InvalidOperation, 'sqrt(-x), x > 0')
# At this point self represents a positive number. Let p be
# the desired precision and express self in the form c*100**e
# with c a positive real number and e an integer, c and e
# being chosen so that 100**(p-1) <= c < 100**p. Then the
# (exact) square root of self is sqrt(c)*10**e, and 10**(p-1)
# <= sqrt(c) < 10**p, so the closest representable Decimal at
# precision p is n*10**e where n = round_half_even(sqrt(c)),
# the closest integer to sqrt(c) with the even integer chosen
# in the case of a tie.
#
# To ensure correct rounding in all cases, we use the
# following trick: we compute the square root to an extra
# place (precision p+1 instead of precision p), rounding down.
# Then, if the result is inexact and its last digit is 0 or 5,
# we increase the last digit to 1 or 6 respectively; if it's
# exact we leave the last digit alone. Now the final round to
# p places (or fewer in the case of underflow) will round
# correctly and raise the appropriate flags.
# use an extra digit of precision
prec = context.prec+1
# write argument in the form c*100**e where e = self._exp//2
# is the 'ideal' exponent, to be used if the square root is
# exactly representable. l is the number of 'digits' of c in
# base 100, so that 100**(l-1) <= c < 100**l.
op = _WorkRep(self)
e = op.exp >> 1
if op.exp & 1:
c = op.int * 10
l = (len(self._int) >> 1) + 1
else:
c = op.int
l = len(self._int)+1 >> 1
# rescale so that c has exactly prec base 100 'digits'
shift = prec-l
if shift >= 0:
c *= 100**shift
exact = True
else:
c, remainder = divmod(c, 100**-shift)
exact = not remainder
e -= shift
# find n = floor(sqrt(c)) using Newton's method
n = 10**prec
while True:
q = c//n
if n <= q:
break
else:
n = n + q >> 1
exact = exact and n*n == c
if exact:
# result is exact; rescale to use ideal exponent e
if shift >= 0:
# assert n % 10**shift == 0
n //= 10**shift
else:
n *= 10**-shift
e += shift
else:
# result is not exact; fix last digit as described above
if n % 5 == 0:
n += 1
ans = _dec_from_triple(0, str(n), e)
# round, and fit to current context
context = context._shallow_copy()
rounding = context._set_rounding(ROUND_HALF_EVEN)
ans = ans._fix(context)
context.rounding = rounding
return ans
|
Return the square root of self.
|
sqrt
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def max(self, other, context=None):
"""Returns the larger value.
Like max(self, other) except if one is not a number, returns
NaN (and signals if one is sNaN). Also rounds.
"""
other = _convert_other(other, raiseit=True)
if context is None:
context = getcontext()
if self._is_special or other._is_special:
# If one operand is a quiet NaN and the other is number, then the
# number is always returned
sn = self._isnan()
on = other._isnan()
if sn or on:
if on == 1 and sn == 0:
return self._fix(context)
if sn == 1 and on == 0:
return other._fix(context)
return self._check_nans(other, context)
c = self._cmp(other)
if c == 0:
# If both operands are finite and equal in numerical value
# then an ordering is applied:
#
# If the signs differ then max returns the operand with the
# positive sign and min returns the operand with the negative sign
#
# If the signs are the same then the exponent is used to select
# the result. This is exactly the ordering used in compare_total.
c = self.compare_total(other)
if c == -1:
ans = other
else:
ans = self
return ans._fix(context)
|
Returns the larger value.
Like max(self, other) except if one is not a number, returns
NaN (and signals if one is sNaN). Also rounds.
|
max
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def min(self, other, context=None):
"""Returns the smaller value.
Like min(self, other) except if one is not a number, returns
NaN (and signals if one is sNaN). Also rounds.
"""
other = _convert_other(other, raiseit=True)
if context is None:
context = getcontext()
if self._is_special or other._is_special:
# If one operand is a quiet NaN and the other is number, then the
# number is always returned
sn = self._isnan()
on = other._isnan()
if sn or on:
if on == 1 and sn == 0:
return self._fix(context)
if sn == 1 and on == 0:
return other._fix(context)
return self._check_nans(other, context)
c = self._cmp(other)
if c == 0:
c = self.compare_total(other)
if c == -1:
ans = self
else:
ans = other
return ans._fix(context)
|
Returns the smaller value.
Like min(self, other) except if one is not a number, returns
NaN (and signals if one is sNaN). Also rounds.
|
min
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _isinteger(self):
"""Returns whether self is an integer"""
if self._is_special:
return False
if self._exp >= 0:
return True
rest = self._int[self._exp:]
return rest == '0'*len(rest)
|
Returns whether self is an integer
|
_isinteger
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _iseven(self):
"""Returns True if self is even. Assumes self is an integer."""
if not self or self._exp > 0:
return True
return self._int[-1+self._exp] in '02468'
|
Returns True if self is even. Assumes self is an integer.
|
_iseven
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def adjusted(self):
"""Return the adjusted exponent of self"""
try:
return self._exp + len(self._int) - 1
# If NaN or Infinity, self._exp is string
except TypeError:
return 0
|
Return the adjusted exponent of self
|
adjusted
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def compare_signal(self, other, context=None):
"""Compares self to the other operand numerically.
It's pretty much like compare(), but all NaNs signal, with signaling
NaNs taking precedence over quiet NaNs.
"""
other = _convert_other(other, raiseit = True)
ans = self._compare_check_nans(other, context)
if ans:
return ans
return self.compare(other, context=context)
|
Compares self to the other operand numerically.
It's pretty much like compare(), but all NaNs signal, with signaling
NaNs taking precedence over quiet NaNs.
|
compare_signal
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def compare_total(self, other):
"""Compares self to other using the abstract representations.
This is not like the standard compare, which use their numerical
value. Note that a total ordering is defined for all possible abstract
representations.
"""
other = _convert_other(other, raiseit=True)
# if one is negative and the other is positive, it's easy
if self._sign and not other._sign:
return _NegativeOne
if not self._sign and other._sign:
return _One
sign = self._sign
# let's handle both NaN types
self_nan = self._isnan()
other_nan = other._isnan()
if self_nan or other_nan:
if self_nan == other_nan:
# compare payloads as though they're integers
self_key = len(self._int), self._int
other_key = len(other._int), other._int
if self_key < other_key:
if sign:
return _One
else:
return _NegativeOne
if self_key > other_key:
if sign:
return _NegativeOne
else:
return _One
return _Zero
if sign:
if self_nan == 1:
return _NegativeOne
if other_nan == 1:
return _One
if self_nan == 2:
return _NegativeOne
if other_nan == 2:
return _One
else:
if self_nan == 1:
return _One
if other_nan == 1:
return _NegativeOne
if self_nan == 2:
return _One
if other_nan == 2:
return _NegativeOne
if self < other:
return _NegativeOne
if self > other:
return _One
if self._exp < other._exp:
if sign:
return _One
else:
return _NegativeOne
if self._exp > other._exp:
if sign:
return _NegativeOne
else:
return _One
return _Zero
|
Compares self to other using the abstract representations.
This is not like the standard compare, which use their numerical
value. Note that a total ordering is defined for all possible abstract
representations.
|
compare_total
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def compare_total_mag(self, other):
"""Compares self to other using abstract repr., ignoring sign.
Like compare_total, but with operand's sign ignored and assumed to be 0.
"""
other = _convert_other(other, raiseit=True)
s = self.copy_abs()
o = other.copy_abs()
return s.compare_total(o)
|
Compares self to other using abstract repr., ignoring sign.
Like compare_total, but with operand's sign ignored and assumed to be 0.
|
compare_total_mag
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def copy_negate(self):
"""Returns a copy with the sign inverted."""
if self._sign:
return _dec_from_triple(0, self._int, self._exp, self._is_special)
else:
return _dec_from_triple(1, self._int, self._exp, self._is_special)
|
Returns a copy with the sign inverted.
|
copy_negate
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def copy_sign(self, other):
"""Returns self with the sign of other."""
other = _convert_other(other, raiseit=True)
return _dec_from_triple(other._sign, self._int,
self._exp, self._is_special)
|
Returns self with the sign of other.
|
copy_sign
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def is_normal(self, context=None):
"""Return True if self is a normal number; otherwise return False."""
if self._is_special or not self:
return False
if context is None:
context = getcontext()
return context.Emin <= self.adjusted()
|
Return True if self is a normal number; otherwise return False.
|
is_normal
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def is_subnormal(self, context=None):
"""Return True if self is subnormal; otherwise return False."""
if self._is_special or not self:
return False
if context is None:
context = getcontext()
return self.adjusted() < context.Emin
|
Return True if self is subnormal; otherwise return False.
|
is_subnormal
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _ln_exp_bound(self):
"""Compute a lower bound for the adjusted exponent of self.ln().
In other words, compute r such that self.ln() >= 10**r. Assumes
that self is finite and positive and that self != 1.
"""
# for 0.1 <= x <= 10 we use the inequalities 1-1/x <= ln(x) <= x-1
adj = self._exp + len(self._int) - 1
if adj >= 1:
# argument >= 10; we use 23/10 = 2.3 as a lower bound for ln(10)
return len(str(adj*23//10)) - 1
if adj <= -2:
# argument <= 0.1
return len(str((-1-adj)*23//10)) - 1
op = _WorkRep(self)
c, e = op.int, op.exp
if adj == 0:
# 1 < self < 10
num = str(c-10**-e)
den = str(c)
return len(num) - len(den) - (num < den)
# adj == -1, 0.1 <= self < 1
return e + len(str(10**-e - c)) - 1
|
Compute a lower bound for the adjusted exponent of self.ln().
In other words, compute r such that self.ln() >= 10**r. Assumes
that self is finite and positive and that self != 1.
|
_ln_exp_bound
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def ln(self, context=None):
"""Returns the natural (base e) logarithm of self."""
if context is None:
context = getcontext()
# ln(NaN) = NaN
ans = self._check_nans(context=context)
if ans:
return ans
# ln(0.0) == -Infinity
if not self:
return _NegativeInfinity
# ln(Infinity) = Infinity
if self._isinfinity() == 1:
return _Infinity
# ln(1.0) == 0.0
if self == _One:
return _Zero
# ln(negative) raises InvalidOperation
if self._sign == 1:
return context._raise_error(InvalidOperation,
'ln of a negative value')
# result is irrational, so necessarily inexact
op = _WorkRep(self)
c, e = op.int, op.exp
p = context.prec
# correctly rounded result: repeatedly increase precision by 3
# until we get an unambiguously roundable result
places = p - self._ln_exp_bound() + 2 # at least p+3 places
while True:
coeff = _dlog(c, e, places)
# assert len(str(abs(coeff)))-p >= 1
if coeff % (5*10**(len(str(abs(coeff)))-p-1)):
break
places += 3
ans = _dec_from_triple(int(coeff<0), str(abs(coeff)), -places)
context = context._shallow_copy()
rounding = context._set_rounding(ROUND_HALF_EVEN)
ans = ans._fix(context)
context.rounding = rounding
return ans
|
Returns the natural (base e) logarithm of self.
|
ln
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _log10_exp_bound(self):
"""Compute a lower bound for the adjusted exponent of self.log10().
In other words, find r such that self.log10() >= 10**r.
Assumes that self is finite and positive and that self != 1.
"""
# For x >= 10 or x < 0.1 we only need a bound on the integer
# part of log10(self), and this comes directly from the
# exponent of x. For 0.1 <= x <= 10 we use the inequalities
# 1-1/x <= log(x) <= x-1. If x > 1 we have |log10(x)| >
# (1-1/x)/2.31 > 0. If x < 1 then |log10(x)| > (1-x)/2.31 > 0
adj = self._exp + len(self._int) - 1
if adj >= 1:
# self >= 10
return len(str(adj))-1
if adj <= -2:
# self < 0.1
return len(str(-1-adj))-1
op = _WorkRep(self)
c, e = op.int, op.exp
if adj == 0:
# 1 < self < 10
num = str(c-10**-e)
den = str(231*c)
return len(num) - len(den) - (num < den) + 2
# adj == -1, 0.1 <= self < 1
num = str(10**-e-c)
return len(num) + e - (num < "231") - 1
|
Compute a lower bound for the adjusted exponent of self.log10().
In other words, find r such that self.log10() >= 10**r.
Assumes that self is finite and positive and that self != 1.
|
_log10_exp_bound
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def log10(self, context=None):
"""Returns the base 10 logarithm of self."""
if context is None:
context = getcontext()
# log10(NaN) = NaN
ans = self._check_nans(context=context)
if ans:
return ans
# log10(0.0) == -Infinity
if not self:
return _NegativeInfinity
# log10(Infinity) = Infinity
if self._isinfinity() == 1:
return _Infinity
# log10(negative or -Infinity) raises InvalidOperation
if self._sign == 1:
return context._raise_error(InvalidOperation,
'log10 of a negative value')
# log10(10**n) = n
if self._int[0] == '1' and self._int[1:] == '0'*(len(self._int) - 1):
# answer may need rounding
ans = Decimal(self._exp + len(self._int) - 1)
else:
# result is irrational, so necessarily inexact
op = _WorkRep(self)
c, e = op.int, op.exp
p = context.prec
# correctly rounded result: repeatedly increase precision
# until result is unambiguously roundable
places = p-self._log10_exp_bound()+2
while True:
coeff = _dlog10(c, e, places)
# assert len(str(abs(coeff)))-p >= 1
if coeff % (5*10**(len(str(abs(coeff)))-p-1)):
break
places += 3
ans = _dec_from_triple(int(coeff<0), str(abs(coeff)), -places)
context = context._shallow_copy()
rounding = context._set_rounding(ROUND_HALF_EVEN)
ans = ans._fix(context)
context.rounding = rounding
return ans
|
Returns the base 10 logarithm of self.
|
log10
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _islogical(self):
"""Return True if self is a logical operand.
For being logical, it must be a finite number with a sign of 0,
an exponent of 0, and a coefficient whose digits must all be
either 0 or 1.
"""
if self._sign != 0 or self._exp != 0:
return False
for dig in self._int:
if dig not in '01':
return False
return True
|
Return True if self is a logical operand.
For being logical, it must be a finite number with a sign of 0,
an exponent of 0, and a coefficient whose digits must all be
either 0 or 1.
|
_islogical
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def logical_and(self, other, context=None):
"""Applies an 'and' operation between self and other's digits."""
if context is None:
context = getcontext()
other = _convert_other(other, raiseit=True)
if not self._islogical() or not other._islogical():
return context._raise_error(InvalidOperation)
# fill to context.prec
(opa, opb) = self._fill_logical(context, self._int, other._int)
# make the operation, and clean starting zeroes
result = "".join([str(int(a)&int(b)) for a,b in zip(opa,opb)])
return _dec_from_triple(0, result.lstrip('0') or '0', 0)
|
Applies an 'and' operation between self and other's digits.
|
logical_and
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def logical_or(self, other, context=None):
"""Applies an 'or' operation between self and other's digits."""
if context is None:
context = getcontext()
other = _convert_other(other, raiseit=True)
if not self._islogical() or not other._islogical():
return context._raise_error(InvalidOperation)
# fill to context.prec
(opa, opb) = self._fill_logical(context, self._int, other._int)
# make the operation, and clean starting zeroes
result = "".join([str(int(a)|int(b)) for a,b in zip(opa,opb)])
return _dec_from_triple(0, result.lstrip('0') or '0', 0)
|
Applies an 'or' operation between self and other's digits.
|
logical_or
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def logical_xor(self, other, context=None):
"""Applies an 'xor' operation between self and other's digits."""
if context is None:
context = getcontext()
other = _convert_other(other, raiseit=True)
if not self._islogical() or not other._islogical():
return context._raise_error(InvalidOperation)
# fill to context.prec
(opa, opb) = self._fill_logical(context, self._int, other._int)
# make the operation, and clean starting zeroes
result = "".join([str(int(a)^int(b)) for a,b in zip(opa,opb)])
return _dec_from_triple(0, result.lstrip('0') or '0', 0)
|
Applies an 'xor' operation between self and other's digits.
|
logical_xor
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def max_mag(self, other, context=None):
"""Compares the values numerically with their sign ignored."""
other = _convert_other(other, raiseit=True)
if context is None:
context = getcontext()
if self._is_special or other._is_special:
# If one operand is a quiet NaN and the other is number, then the
# number is always returned
sn = self._isnan()
on = other._isnan()
if sn or on:
if on == 1 and sn == 0:
return self._fix(context)
if sn == 1 and on == 0:
return other._fix(context)
return self._check_nans(other, context)
c = self.copy_abs()._cmp(other.copy_abs())
if c == 0:
c = self.compare_total(other)
if c == -1:
ans = other
else:
ans = self
return ans._fix(context)
|
Compares the values numerically with their sign ignored.
|
max_mag
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def min_mag(self, other, context=None):
"""Compares the values numerically with their sign ignored."""
other = _convert_other(other, raiseit=True)
if context is None:
context = getcontext()
if self._is_special or other._is_special:
# If one operand is a quiet NaN and the other is number, then the
# number is always returned
sn = self._isnan()
on = other._isnan()
if sn or on:
if on == 1 and sn == 0:
return self._fix(context)
if sn == 1 and on == 0:
return other._fix(context)
return self._check_nans(other, context)
c = self.copy_abs()._cmp(other.copy_abs())
if c == 0:
c = self.compare_total(other)
if c == -1:
ans = self
else:
ans = other
return ans._fix(context)
|
Compares the values numerically with their sign ignored.
|
min_mag
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def next_minus(self, context=None):
"""Returns the largest representable number smaller than itself."""
if context is None:
context = getcontext()
ans = self._check_nans(context=context)
if ans:
return ans
if self._isinfinity() == -1:
return _NegativeInfinity
if self._isinfinity() == 1:
return _dec_from_triple(0, '9'*context.prec, context.Etop())
context = context.copy()
context._set_rounding(ROUND_FLOOR)
context._ignore_all_flags()
new_self = self._fix(context)
if new_self != self:
return new_self
return self.__sub__(_dec_from_triple(0, '1', context.Etiny()-1),
context)
|
Returns the largest representable number smaller than itself.
|
next_minus
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def next_plus(self, context=None):
"""Returns the smallest representable number larger than itself."""
if context is None:
context = getcontext()
ans = self._check_nans(context=context)
if ans:
return ans
if self._isinfinity() == 1:
return _Infinity
if self._isinfinity() == -1:
return _dec_from_triple(1, '9'*context.prec, context.Etop())
context = context.copy()
context._set_rounding(ROUND_CEILING)
context._ignore_all_flags()
new_self = self._fix(context)
if new_self != self:
return new_self
return self.__add__(_dec_from_triple(0, '1', context.Etiny()-1),
context)
|
Returns the smallest representable number larger than itself.
|
next_plus
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def next_toward(self, other, context=None):
"""Returns the number closest to self, in the direction towards other.
The result is the closest representable number to self
(excluding self) that is in the direction towards other,
unless both have the same value. If the two operands are
numerically equal, then the result is a copy of self with the
sign set to be the same as the sign of other.
"""
other = _convert_other(other, raiseit=True)
if context is None:
context = getcontext()
ans = self._check_nans(other, context)
if ans:
return ans
comparison = self._cmp(other)
if comparison == 0:
return self.copy_sign(other)
if comparison == -1:
ans = self.next_plus(context)
else: # comparison == 1
ans = self.next_minus(context)
# decide which flags to raise using value of ans
if ans._isinfinity():
context._raise_error(Overflow,
'Infinite result from next_toward',
ans._sign)
context._raise_error(Inexact)
context._raise_error(Rounded)
elif ans.adjusted() < context.Emin:
context._raise_error(Underflow)
context._raise_error(Subnormal)
context._raise_error(Inexact)
context._raise_error(Rounded)
# if precision == 1 then we don't raise Clamped for a
# result 0E-Etiny.
if not ans:
context._raise_error(Clamped)
return ans
|
Returns the number closest to self, in the direction towards other.
The result is the closest representable number to self
(excluding self) that is in the direction towards other,
unless both have the same value. If the two operands are
numerically equal, then the result is a copy of self with the
sign set to be the same as the sign of other.
|
next_toward
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def number_class(self, context=None):
"""Returns an indication of the class of self.
The class is one of the following strings:
sNaN
NaN
-Infinity
-Normal
-Subnormal
-Zero
+Zero
+Subnormal
+Normal
+Infinity
"""
if self.is_snan():
return "sNaN"
if self.is_qnan():
return "NaN"
inf = self._isinfinity()
if inf == 1:
return "+Infinity"
if inf == -1:
return "-Infinity"
if self.is_zero():
if self._sign:
return "-Zero"
else:
return "+Zero"
if context is None:
context = getcontext()
if self.is_subnormal(context=context):
if self._sign:
return "-Subnormal"
else:
return "+Subnormal"
# just a normal, regular, boring number, :)
if self._sign:
return "-Normal"
else:
return "+Normal"
|
Returns an indication of the class of self.
The class is one of the following strings:
sNaN
NaN
-Infinity
-Normal
-Subnormal
-Zero
+Zero
+Subnormal
+Normal
+Infinity
|
number_class
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def rotate(self, other, context=None):
"""Returns a rotated copy of self, value-of-other times."""
if context is None:
context = getcontext()
other = _convert_other(other, raiseit=True)
ans = self._check_nans(other, context)
if ans:
return ans
if other._exp != 0:
return context._raise_error(InvalidOperation)
if not (-context.prec <= int(other) <= context.prec):
return context._raise_error(InvalidOperation)
if self._isinfinity():
return Decimal(self)
# get values, pad if necessary
torot = int(other)
rotdig = self._int
topad = context.prec - len(rotdig)
if topad > 0:
rotdig = '0'*topad + rotdig
elif topad < 0:
rotdig = rotdig[-topad:]
# let's rotate!
rotated = rotdig[torot:] + rotdig[:torot]
return _dec_from_triple(self._sign,
rotated.lstrip('0') or '0', self._exp)
|
Returns a rotated copy of self, value-of-other times.
|
rotate
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def scaleb(self, other, context=None):
"""Returns self operand after adding the second value to its exp."""
if context is None:
context = getcontext()
other = _convert_other(other, raiseit=True)
ans = self._check_nans(other, context)
if ans:
return ans
if other._exp != 0:
return context._raise_error(InvalidOperation)
liminf = -2 * (context.Emax + context.prec)
limsup = 2 * (context.Emax + context.prec)
if not (liminf <= int(other) <= limsup):
return context._raise_error(InvalidOperation)
if self._isinfinity():
return Decimal(self)
d = _dec_from_triple(self._sign, self._int, self._exp + int(other))
d = d._fix(context)
return d
|
Returns self operand after adding the second value to its exp.
|
scaleb
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def shift(self, other, context=None):
"""Returns a shifted copy of self, value-of-other times."""
if context is None:
context = getcontext()
other = _convert_other(other, raiseit=True)
ans = self._check_nans(other, context)
if ans:
return ans
if other._exp != 0:
return context._raise_error(InvalidOperation)
if not (-context.prec <= int(other) <= context.prec):
return context._raise_error(InvalidOperation)
if self._isinfinity():
return Decimal(self)
# get values, pad if necessary
torot = int(other)
rotdig = self._int
topad = context.prec - len(rotdig)
if topad > 0:
rotdig = '0'*topad + rotdig
elif topad < 0:
rotdig = rotdig[-topad:]
# let's shift!
if torot < 0:
shifted = rotdig[:torot]
else:
shifted = rotdig + '0'*torot
shifted = shifted[-context.prec:]
return _dec_from_triple(self._sign,
shifted.lstrip('0') or '0', self._exp)
|
Returns a shifted copy of self, value-of-other times.
|
shift
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _dec_from_triple(sign, coefficient, exponent, special=False):
"""Create a decimal instance directly, without any validation,
normalization (e.g. removal of leading zeros) or argument
conversion.
This function is for *internal use only*.
"""
self = object.__new__(Decimal)
self._sign = sign
self._int = coefficient
self._exp = exponent
self._is_special = special
return self
|
Create a decimal instance directly, without any validation,
normalization (e.g. removal of leading zeros) or argument
conversion.
This function is for *internal use only*.
|
_dec_from_triple
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _raise_error(self, condition, explanation = None, *args):
"""Handles an error
If the flag is in _ignored_flags, returns the default response.
Otherwise, it sets the flag, then, if the corresponding
trap_enabler is set, it reraises the exception. Otherwise, it returns
the default value after setting the flag.
"""
error = _condition_map.get(condition, condition)
if error in self._ignored_flags:
# Don't touch the flag
return error().handle(self, *args)
self.flags[error] = 1
if not self.traps[error]:
# The errors define how to handle themselves.
return condition().handle(self, *args)
# Errors should only be risked on copies of the context
# self._ignored_flags = []
raise error(explanation)
|
Handles an error
If the flag is in _ignored_flags, returns the default response.
Otherwise, it sets the flag, then, if the corresponding
trap_enabler is set, it reraises the exception. Otherwise, it returns
the default value after setting the flag.
|
_raise_error
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _ignore_flags(self, *flags):
"""Ignore the flags, if they are raised"""
# Do not mutate-- This way, copies of a context leave the original
# alone.
self._ignored_flags = (self._ignored_flags + list(flags))
return list(flags)
|
Ignore the flags, if they are raised
|
_ignore_flags
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _regard_flags(self, *flags):
"""Stop ignoring the flags, if they are raised"""
if flags and isinstance(flags[0], (tuple,list)):
flags = flags[0]
for flag in flags:
self._ignored_flags.remove(flag)
|
Stop ignoring the flags, if they are raised
|
_regard_flags
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def _set_rounding(self, type):
"""Sets the rounding type.
Sets the rounding type, and returns the current (previous)
rounding type. Often used like:
context = context.copy()
# so you don't change the calling context
# if an error occurs in the middle.
rounding = context._set_rounding(ROUND_UP)
val = self.__sub__(other, context=context)
context._set_rounding(rounding)
This will make it round up for that operation.
"""
rounding = self.rounding
self.rounding= type
return rounding
|
Sets the rounding type.
Sets the rounding type, and returns the current (previous)
rounding type. Often used like:
context = context.copy()
# so you don't change the calling context
# if an error occurs in the middle.
rounding = context._set_rounding(ROUND_UP)
val = self.__sub__(other, context=context)
context._set_rounding(rounding)
This will make it round up for that operation.
|
_set_rounding
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def create_decimal(self, num='0'):
"""Creates a new Decimal instance but using self as context.
This method implements the to-number operation of the
IBM Decimal specification."""
if isinstance(num, basestring) and num != num.strip():
return self._raise_error(ConversionSyntax,
"no trailing or leading whitespace is "
"permitted.")
d = Decimal(num, context=self)
if d._isnan() and len(d._int) > self.prec - self._clamp:
return self._raise_error(ConversionSyntax,
"diagnostic info too long in NaN")
return d._fix(self)
|
Creates a new Decimal instance but using self as context.
This method implements the to-number operation of the
IBM Decimal specification.
|
create_decimal
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def create_decimal_from_float(self, f):
"""Creates a new Decimal instance from a float but rounding using self
as the context.
>>> context = Context(prec=5, rounding=ROUND_DOWN)
>>> context.create_decimal_from_float(3.1415926535897932)
Decimal('3.1415')
>>> context = Context(prec=5, traps=[Inexact])
>>> context.create_decimal_from_float(3.1415926535897932)
Traceback (most recent call last):
...
Inexact: None
"""
d = Decimal.from_float(f) # An exact conversion
return d._fix(self) # Apply the context rounding
|
Creates a new Decimal instance from a float but rounding using self
as the context.
>>> context = Context(prec=5, rounding=ROUND_DOWN)
>>> context.create_decimal_from_float(3.1415926535897932)
Decimal('3.1415')
>>> context = Context(prec=5, traps=[Inexact])
>>> context.create_decimal_from_float(3.1415926535897932)
Traceback (most recent call last):
...
Inexact: None
|
create_decimal_from_float
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def add(self, a, b):
"""Return the sum of the two operands.
>>> ExtendedContext.add(Decimal('12'), Decimal('7.00'))
Decimal('19.00')
>>> ExtendedContext.add(Decimal('1E+2'), Decimal('1.01E+4'))
Decimal('1.02E+4')
>>> ExtendedContext.add(1, Decimal(2))
Decimal('3')
>>> ExtendedContext.add(Decimal(8), 5)
Decimal('13')
>>> ExtendedContext.add(5, 5)
Decimal('10')
"""
a = _convert_other(a, raiseit=True)
r = a.__add__(b, context=self)
if r is NotImplemented:
raise TypeError("Unable to convert %s to Decimal" % b)
else:
return r
|
Return the sum of the two operands.
>>> ExtendedContext.add(Decimal('12'), Decimal('7.00'))
Decimal('19.00')
>>> ExtendedContext.add(Decimal('1E+2'), Decimal('1.01E+4'))
Decimal('1.02E+4')
>>> ExtendedContext.add(1, Decimal(2))
Decimal('3')
>>> ExtendedContext.add(Decimal(8), 5)
Decimal('13')
>>> ExtendedContext.add(5, 5)
Decimal('10')
|
add
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def compare(self, a, b):
"""Compares values numerically.
If the signs of the operands differ, a value representing each operand
('-1' if the operand is less than zero, '0' if the operand is zero or
negative zero, or '1' if the operand is greater than zero) is used in
place of that operand for the comparison instead of the actual
operand.
The comparison is then effected by subtracting the second operand from
the first and then returning a value according to the result of the
subtraction: '-1' if the result is less than zero, '0' if the result is
zero or negative zero, or '1' if the result is greater than zero.
>>> ExtendedContext.compare(Decimal('2.1'), Decimal('3'))
Decimal('-1')
>>> ExtendedContext.compare(Decimal('2.1'), Decimal('2.1'))
Decimal('0')
>>> ExtendedContext.compare(Decimal('2.1'), Decimal('2.10'))
Decimal('0')
>>> ExtendedContext.compare(Decimal('3'), Decimal('2.1'))
Decimal('1')
>>> ExtendedContext.compare(Decimal('2.1'), Decimal('-3'))
Decimal('1')
>>> ExtendedContext.compare(Decimal('-3'), Decimal('2.1'))
Decimal('-1')
>>> ExtendedContext.compare(1, 2)
Decimal('-1')
>>> ExtendedContext.compare(Decimal(1), 2)
Decimal('-1')
>>> ExtendedContext.compare(1, Decimal(2))
Decimal('-1')
"""
a = _convert_other(a, raiseit=True)
return a.compare(b, context=self)
|
Compares values numerically.
If the signs of the operands differ, a value representing each operand
('-1' if the operand is less than zero, '0' if the operand is zero or
negative zero, or '1' if the operand is greater than zero) is used in
place of that operand for the comparison instead of the actual
operand.
The comparison is then effected by subtracting the second operand from
the first and then returning a value according to the result of the
subtraction: '-1' if the result is less than zero, '0' if the result is
zero or negative zero, or '1' if the result is greater than zero.
>>> ExtendedContext.compare(Decimal('2.1'), Decimal('3'))
Decimal('-1')
>>> ExtendedContext.compare(Decimal('2.1'), Decimal('2.1'))
Decimal('0')
>>> ExtendedContext.compare(Decimal('2.1'), Decimal('2.10'))
Decimal('0')
>>> ExtendedContext.compare(Decimal('3'), Decimal('2.1'))
Decimal('1')
>>> ExtendedContext.compare(Decimal('2.1'), Decimal('-3'))
Decimal('1')
>>> ExtendedContext.compare(Decimal('-3'), Decimal('2.1'))
Decimal('-1')
>>> ExtendedContext.compare(1, 2)
Decimal('-1')
>>> ExtendedContext.compare(Decimal(1), 2)
Decimal('-1')
>>> ExtendedContext.compare(1, Decimal(2))
Decimal('-1')
|
compare
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def compare_signal(self, a, b):
"""Compares the values of the two operands numerically.
It's pretty much like compare(), but all NaNs signal, with signaling
NaNs taking precedence over quiet NaNs.
>>> c = ExtendedContext
>>> c.compare_signal(Decimal('2.1'), Decimal('3'))
Decimal('-1')
>>> c.compare_signal(Decimal('2.1'), Decimal('2.1'))
Decimal('0')
>>> c.flags[InvalidOperation] = 0
>>> print c.flags[InvalidOperation]
0
>>> c.compare_signal(Decimal('NaN'), Decimal('2.1'))
Decimal('NaN')
>>> print c.flags[InvalidOperation]
1
>>> c.flags[InvalidOperation] = 0
>>> print c.flags[InvalidOperation]
0
>>> c.compare_signal(Decimal('sNaN'), Decimal('2.1'))
Decimal('NaN')
>>> print c.flags[InvalidOperation]
1
>>> c.compare_signal(-1, 2)
Decimal('-1')
>>> c.compare_signal(Decimal(-1), 2)
Decimal('-1')
>>> c.compare_signal(-1, Decimal(2))
Decimal('-1')
"""
a = _convert_other(a, raiseit=True)
return a.compare_signal(b, context=self)
|
Compares the values of the two operands numerically.
It's pretty much like compare(), but all NaNs signal, with signaling
NaNs taking precedence over quiet NaNs.
>>> c = ExtendedContext
>>> c.compare_signal(Decimal('2.1'), Decimal('3'))
Decimal('-1')
>>> c.compare_signal(Decimal('2.1'), Decimal('2.1'))
Decimal('0')
>>> c.flags[InvalidOperation] = 0
>>> print c.flags[InvalidOperation]
0
>>> c.compare_signal(Decimal('NaN'), Decimal('2.1'))
Decimal('NaN')
>>> print c.flags[InvalidOperation]
1
>>> c.flags[InvalidOperation] = 0
>>> print c.flags[InvalidOperation]
0
>>> c.compare_signal(Decimal('sNaN'), Decimal('2.1'))
Decimal('NaN')
>>> print c.flags[InvalidOperation]
1
>>> c.compare_signal(-1, 2)
Decimal('-1')
>>> c.compare_signal(Decimal(-1), 2)
Decimal('-1')
>>> c.compare_signal(-1, Decimal(2))
Decimal('-1')
|
compare_signal
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def divide(self, a, b):
"""Decimal division in a specified context.
>>> ExtendedContext.divide(Decimal('1'), Decimal('3'))
Decimal('0.333333333')
>>> ExtendedContext.divide(Decimal('2'), Decimal('3'))
Decimal('0.666666667')
>>> ExtendedContext.divide(Decimal('5'), Decimal('2'))
Decimal('2.5')
>>> ExtendedContext.divide(Decimal('1'), Decimal('10'))
Decimal('0.1')
>>> ExtendedContext.divide(Decimal('12'), Decimal('12'))
Decimal('1')
>>> ExtendedContext.divide(Decimal('8.00'), Decimal('2'))
Decimal('4.00')
>>> ExtendedContext.divide(Decimal('2.400'), Decimal('2.0'))
Decimal('1.20')
>>> ExtendedContext.divide(Decimal('1000'), Decimal('100'))
Decimal('10')
>>> ExtendedContext.divide(Decimal('1000'), Decimal('1'))
Decimal('1000')
>>> ExtendedContext.divide(Decimal('2.40E+6'), Decimal('2'))
Decimal('1.20E+6')
>>> ExtendedContext.divide(5, 5)
Decimal('1')
>>> ExtendedContext.divide(Decimal(5), 5)
Decimal('1')
>>> ExtendedContext.divide(5, Decimal(5))
Decimal('1')
"""
a = _convert_other(a, raiseit=True)
r = a.__div__(b, context=self)
if r is NotImplemented:
raise TypeError("Unable to convert %s to Decimal" % b)
else:
return r
|
Decimal division in a specified context.
>>> ExtendedContext.divide(Decimal('1'), Decimal('3'))
Decimal('0.333333333')
>>> ExtendedContext.divide(Decimal('2'), Decimal('3'))
Decimal('0.666666667')
>>> ExtendedContext.divide(Decimal('5'), Decimal('2'))
Decimal('2.5')
>>> ExtendedContext.divide(Decimal('1'), Decimal('10'))
Decimal('0.1')
>>> ExtendedContext.divide(Decimal('12'), Decimal('12'))
Decimal('1')
>>> ExtendedContext.divide(Decimal('8.00'), Decimal('2'))
Decimal('4.00')
>>> ExtendedContext.divide(Decimal('2.400'), Decimal('2.0'))
Decimal('1.20')
>>> ExtendedContext.divide(Decimal('1000'), Decimal('100'))
Decimal('10')
>>> ExtendedContext.divide(Decimal('1000'), Decimal('1'))
Decimal('1000')
>>> ExtendedContext.divide(Decimal('2.40E+6'), Decimal('2'))
Decimal('1.20E+6')
>>> ExtendedContext.divide(5, 5)
Decimal('1')
>>> ExtendedContext.divide(Decimal(5), 5)
Decimal('1')
>>> ExtendedContext.divide(5, Decimal(5))
Decimal('1')
|
divide
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def divide_int(self, a, b):
"""Divides two numbers and returns the integer part of the result.
>>> ExtendedContext.divide_int(Decimal('2'), Decimal('3'))
Decimal('0')
>>> ExtendedContext.divide_int(Decimal('10'), Decimal('3'))
Decimal('3')
>>> ExtendedContext.divide_int(Decimal('1'), Decimal('0.3'))
Decimal('3')
>>> ExtendedContext.divide_int(10, 3)
Decimal('3')
>>> ExtendedContext.divide_int(Decimal(10), 3)
Decimal('3')
>>> ExtendedContext.divide_int(10, Decimal(3))
Decimal('3')
"""
a = _convert_other(a, raiseit=True)
r = a.__floordiv__(b, context=self)
if r is NotImplemented:
raise TypeError("Unable to convert %s to Decimal" % b)
else:
return r
|
Divides two numbers and returns the integer part of the result.
>>> ExtendedContext.divide_int(Decimal('2'), Decimal('3'))
Decimal('0')
>>> ExtendedContext.divide_int(Decimal('10'), Decimal('3'))
Decimal('3')
>>> ExtendedContext.divide_int(Decimal('1'), Decimal('0.3'))
Decimal('3')
>>> ExtendedContext.divide_int(10, 3)
Decimal('3')
>>> ExtendedContext.divide_int(Decimal(10), 3)
Decimal('3')
>>> ExtendedContext.divide_int(10, Decimal(3))
Decimal('3')
|
divide_int
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def divmod(self, a, b):
"""Return (a // b, a % b).
>>> ExtendedContext.divmod(Decimal(8), Decimal(3))
(Decimal('2'), Decimal('2'))
>>> ExtendedContext.divmod(Decimal(8), Decimal(4))
(Decimal('2'), Decimal('0'))
>>> ExtendedContext.divmod(8, 4)
(Decimal('2'), Decimal('0'))
>>> ExtendedContext.divmod(Decimal(8), 4)
(Decimal('2'), Decimal('0'))
>>> ExtendedContext.divmod(8, Decimal(4))
(Decimal('2'), Decimal('0'))
"""
a = _convert_other(a, raiseit=True)
r = a.__divmod__(b, context=self)
if r is NotImplemented:
raise TypeError("Unable to convert %s to Decimal" % b)
else:
return r
|
Return (a // b, a % b).
>>> ExtendedContext.divmod(Decimal(8), Decimal(3))
(Decimal('2'), Decimal('2'))
>>> ExtendedContext.divmod(Decimal(8), Decimal(4))
(Decimal('2'), Decimal('0'))
>>> ExtendedContext.divmod(8, 4)
(Decimal('2'), Decimal('0'))
>>> ExtendedContext.divmod(Decimal(8), 4)
(Decimal('2'), Decimal('0'))
>>> ExtendedContext.divmod(8, Decimal(4))
(Decimal('2'), Decimal('0'))
|
divmod
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def fma(self, a, b, c):
"""Returns a multiplied by b, plus c.
The first two operands are multiplied together, using multiply,
the third operand is then added to the result of that
multiplication, using add, all with only one final rounding.
>>> ExtendedContext.fma(Decimal('3'), Decimal('5'), Decimal('7'))
Decimal('22')
>>> ExtendedContext.fma(Decimal('3'), Decimal('-5'), Decimal('7'))
Decimal('-8')
>>> ExtendedContext.fma(Decimal('888565290'), Decimal('1557.96930'), Decimal('-86087.7578'))
Decimal('1.38435736E+12')
>>> ExtendedContext.fma(1, 3, 4)
Decimal('7')
>>> ExtendedContext.fma(1, Decimal(3), 4)
Decimal('7')
>>> ExtendedContext.fma(1, 3, Decimal(4))
Decimal('7')
"""
a = _convert_other(a, raiseit=True)
return a.fma(b, c, context=self)
|
Returns a multiplied by b, plus c.
The first two operands are multiplied together, using multiply,
the third operand is then added to the result of that
multiplication, using add, all with only one final rounding.
>>> ExtendedContext.fma(Decimal('3'), Decimal('5'), Decimal('7'))
Decimal('22')
>>> ExtendedContext.fma(Decimal('3'), Decimal('-5'), Decimal('7'))
Decimal('-8')
>>> ExtendedContext.fma(Decimal('888565290'), Decimal('1557.96930'), Decimal('-86087.7578'))
Decimal('1.38435736E+12')
>>> ExtendedContext.fma(1, 3, 4)
Decimal('7')
>>> ExtendedContext.fma(1, Decimal(3), 4)
Decimal('7')
>>> ExtendedContext.fma(1, 3, Decimal(4))
Decimal('7')
|
fma
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def logical_and(self, a, b):
"""Applies the logical operation 'and' between each operand's digits.
The operands must be both logical numbers.
>>> ExtendedContext.logical_and(Decimal('0'), Decimal('0'))
Decimal('0')
>>> ExtendedContext.logical_and(Decimal('0'), Decimal('1'))
Decimal('0')
>>> ExtendedContext.logical_and(Decimal('1'), Decimal('0'))
Decimal('0')
>>> ExtendedContext.logical_and(Decimal('1'), Decimal('1'))
Decimal('1')
>>> ExtendedContext.logical_and(Decimal('1100'), Decimal('1010'))
Decimal('1000')
>>> ExtendedContext.logical_and(Decimal('1111'), Decimal('10'))
Decimal('10')
>>> ExtendedContext.logical_and(110, 1101)
Decimal('100')
>>> ExtendedContext.logical_and(Decimal(110), 1101)
Decimal('100')
>>> ExtendedContext.logical_and(110, Decimal(1101))
Decimal('100')
"""
a = _convert_other(a, raiseit=True)
return a.logical_and(b, context=self)
|
Applies the logical operation 'and' between each operand's digits.
The operands must be both logical numbers.
>>> ExtendedContext.logical_and(Decimal('0'), Decimal('0'))
Decimal('0')
>>> ExtendedContext.logical_and(Decimal('0'), Decimal('1'))
Decimal('0')
>>> ExtendedContext.logical_and(Decimal('1'), Decimal('0'))
Decimal('0')
>>> ExtendedContext.logical_and(Decimal('1'), Decimal('1'))
Decimal('1')
>>> ExtendedContext.logical_and(Decimal('1100'), Decimal('1010'))
Decimal('1000')
>>> ExtendedContext.logical_and(Decimal('1111'), Decimal('10'))
Decimal('10')
>>> ExtendedContext.logical_and(110, 1101)
Decimal('100')
>>> ExtendedContext.logical_and(Decimal(110), 1101)
Decimal('100')
>>> ExtendedContext.logical_and(110, Decimal(1101))
Decimal('100')
|
logical_and
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def logical_or(self, a, b):
"""Applies the logical operation 'or' between each operand's digits.
The operands must be both logical numbers.
>>> ExtendedContext.logical_or(Decimal('0'), Decimal('0'))
Decimal('0')
>>> ExtendedContext.logical_or(Decimal('0'), Decimal('1'))
Decimal('1')
>>> ExtendedContext.logical_or(Decimal('1'), Decimal('0'))
Decimal('1')
>>> ExtendedContext.logical_or(Decimal('1'), Decimal('1'))
Decimal('1')
>>> ExtendedContext.logical_or(Decimal('1100'), Decimal('1010'))
Decimal('1110')
>>> ExtendedContext.logical_or(Decimal('1110'), Decimal('10'))
Decimal('1110')
>>> ExtendedContext.logical_or(110, 1101)
Decimal('1111')
>>> ExtendedContext.logical_or(Decimal(110), 1101)
Decimal('1111')
>>> ExtendedContext.logical_or(110, Decimal(1101))
Decimal('1111')
"""
a = _convert_other(a, raiseit=True)
return a.logical_or(b, context=self)
|
Applies the logical operation 'or' between each operand's digits.
The operands must be both logical numbers.
>>> ExtendedContext.logical_or(Decimal('0'), Decimal('0'))
Decimal('0')
>>> ExtendedContext.logical_or(Decimal('0'), Decimal('1'))
Decimal('1')
>>> ExtendedContext.logical_or(Decimal('1'), Decimal('0'))
Decimal('1')
>>> ExtendedContext.logical_or(Decimal('1'), Decimal('1'))
Decimal('1')
>>> ExtendedContext.logical_or(Decimal('1100'), Decimal('1010'))
Decimal('1110')
>>> ExtendedContext.logical_or(Decimal('1110'), Decimal('10'))
Decimal('1110')
>>> ExtendedContext.logical_or(110, 1101)
Decimal('1111')
>>> ExtendedContext.logical_or(Decimal(110), 1101)
Decimal('1111')
>>> ExtendedContext.logical_or(110, Decimal(1101))
Decimal('1111')
|
logical_or
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def logical_xor(self, a, b):
"""Applies the logical operation 'xor' between each operand's digits.
The operands must be both logical numbers.
>>> ExtendedContext.logical_xor(Decimal('0'), Decimal('0'))
Decimal('0')
>>> ExtendedContext.logical_xor(Decimal('0'), Decimal('1'))
Decimal('1')
>>> ExtendedContext.logical_xor(Decimal('1'), Decimal('0'))
Decimal('1')
>>> ExtendedContext.logical_xor(Decimal('1'), Decimal('1'))
Decimal('0')
>>> ExtendedContext.logical_xor(Decimal('1100'), Decimal('1010'))
Decimal('110')
>>> ExtendedContext.logical_xor(Decimal('1111'), Decimal('10'))
Decimal('1101')
>>> ExtendedContext.logical_xor(110, 1101)
Decimal('1011')
>>> ExtendedContext.logical_xor(Decimal(110), 1101)
Decimal('1011')
>>> ExtendedContext.logical_xor(110, Decimal(1101))
Decimal('1011')
"""
a = _convert_other(a, raiseit=True)
return a.logical_xor(b, context=self)
|
Applies the logical operation 'xor' between each operand's digits.
The operands must be both logical numbers.
>>> ExtendedContext.logical_xor(Decimal('0'), Decimal('0'))
Decimal('0')
>>> ExtendedContext.logical_xor(Decimal('0'), Decimal('1'))
Decimal('1')
>>> ExtendedContext.logical_xor(Decimal('1'), Decimal('0'))
Decimal('1')
>>> ExtendedContext.logical_xor(Decimal('1'), Decimal('1'))
Decimal('0')
>>> ExtendedContext.logical_xor(Decimal('1100'), Decimal('1010'))
Decimal('110')
>>> ExtendedContext.logical_xor(Decimal('1111'), Decimal('10'))
Decimal('1101')
>>> ExtendedContext.logical_xor(110, 1101)
Decimal('1011')
>>> ExtendedContext.logical_xor(Decimal(110), 1101)
Decimal('1011')
>>> ExtendedContext.logical_xor(110, Decimal(1101))
Decimal('1011')
|
logical_xor
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def max(self, a, b):
"""max compares two values numerically and returns the maximum.
If either operand is a NaN then the general rules apply.
Otherwise, the operands are compared as though by the compare
operation. If they are numerically equal then the left-hand operand
is chosen as the result. Otherwise the maximum (closer to positive
infinity) of the two operands is chosen as the result.
>>> ExtendedContext.max(Decimal('3'), Decimal('2'))
Decimal('3')
>>> ExtendedContext.max(Decimal('-10'), Decimal('3'))
Decimal('3')
>>> ExtendedContext.max(Decimal('1.0'), Decimal('1'))
Decimal('1')
>>> ExtendedContext.max(Decimal('7'), Decimal('NaN'))
Decimal('7')
>>> ExtendedContext.max(1, 2)
Decimal('2')
>>> ExtendedContext.max(Decimal(1), 2)
Decimal('2')
>>> ExtendedContext.max(1, Decimal(2))
Decimal('2')
"""
a = _convert_other(a, raiseit=True)
return a.max(b, context=self)
|
max compares two values numerically and returns the maximum.
If either operand is a NaN then the general rules apply.
Otherwise, the operands are compared as though by the compare
operation. If they are numerically equal then the left-hand operand
is chosen as the result. Otherwise the maximum (closer to positive
infinity) of the two operands is chosen as the result.
>>> ExtendedContext.max(Decimal('3'), Decimal('2'))
Decimal('3')
>>> ExtendedContext.max(Decimal('-10'), Decimal('3'))
Decimal('3')
>>> ExtendedContext.max(Decimal('1.0'), Decimal('1'))
Decimal('1')
>>> ExtendedContext.max(Decimal('7'), Decimal('NaN'))
Decimal('7')
>>> ExtendedContext.max(1, 2)
Decimal('2')
>>> ExtendedContext.max(Decimal(1), 2)
Decimal('2')
>>> ExtendedContext.max(1, Decimal(2))
Decimal('2')
|
max
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def max_mag(self, a, b):
"""Compares the values numerically with their sign ignored.
>>> ExtendedContext.max_mag(Decimal('7'), Decimal('NaN'))
Decimal('7')
>>> ExtendedContext.max_mag(Decimal('7'), Decimal('-10'))
Decimal('-10')
>>> ExtendedContext.max_mag(1, -2)
Decimal('-2')
>>> ExtendedContext.max_mag(Decimal(1), -2)
Decimal('-2')
>>> ExtendedContext.max_mag(1, Decimal(-2))
Decimal('-2')
"""
a = _convert_other(a, raiseit=True)
return a.max_mag(b, context=self)
|
Compares the values numerically with their sign ignored.
>>> ExtendedContext.max_mag(Decimal('7'), Decimal('NaN'))
Decimal('7')
>>> ExtendedContext.max_mag(Decimal('7'), Decimal('-10'))
Decimal('-10')
>>> ExtendedContext.max_mag(1, -2)
Decimal('-2')
>>> ExtendedContext.max_mag(Decimal(1), -2)
Decimal('-2')
>>> ExtendedContext.max_mag(1, Decimal(-2))
Decimal('-2')
|
max_mag
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def min(self, a, b):
"""min compares two values numerically and returns the minimum.
If either operand is a NaN then the general rules apply.
Otherwise, the operands are compared as though by the compare
operation. If they are numerically equal then the left-hand operand
is chosen as the result. Otherwise the minimum (closer to negative
infinity) of the two operands is chosen as the result.
>>> ExtendedContext.min(Decimal('3'), Decimal('2'))
Decimal('2')
>>> ExtendedContext.min(Decimal('-10'), Decimal('3'))
Decimal('-10')
>>> ExtendedContext.min(Decimal('1.0'), Decimal('1'))
Decimal('1.0')
>>> ExtendedContext.min(Decimal('7'), Decimal('NaN'))
Decimal('7')
>>> ExtendedContext.min(1, 2)
Decimal('1')
>>> ExtendedContext.min(Decimal(1), 2)
Decimal('1')
>>> ExtendedContext.min(1, Decimal(29))
Decimal('1')
"""
a = _convert_other(a, raiseit=True)
return a.min(b, context=self)
|
min compares two values numerically and returns the minimum.
If either operand is a NaN then the general rules apply.
Otherwise, the operands are compared as though by the compare
operation. If they are numerically equal then the left-hand operand
is chosen as the result. Otherwise the minimum (closer to negative
infinity) of the two operands is chosen as the result.
>>> ExtendedContext.min(Decimal('3'), Decimal('2'))
Decimal('2')
>>> ExtendedContext.min(Decimal('-10'), Decimal('3'))
Decimal('-10')
>>> ExtendedContext.min(Decimal('1.0'), Decimal('1'))
Decimal('1.0')
>>> ExtendedContext.min(Decimal('7'), Decimal('NaN'))
Decimal('7')
>>> ExtendedContext.min(1, 2)
Decimal('1')
>>> ExtendedContext.min(Decimal(1), 2)
Decimal('1')
>>> ExtendedContext.min(1, Decimal(29))
Decimal('1')
|
min
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def min_mag(self, a, b):
"""Compares the values numerically with their sign ignored.
>>> ExtendedContext.min_mag(Decimal('3'), Decimal('-2'))
Decimal('-2')
>>> ExtendedContext.min_mag(Decimal('-3'), Decimal('NaN'))
Decimal('-3')
>>> ExtendedContext.min_mag(1, -2)
Decimal('1')
>>> ExtendedContext.min_mag(Decimal(1), -2)
Decimal('1')
>>> ExtendedContext.min_mag(1, Decimal(-2))
Decimal('1')
"""
a = _convert_other(a, raiseit=True)
return a.min_mag(b, context=self)
|
Compares the values numerically with their sign ignored.
>>> ExtendedContext.min_mag(Decimal('3'), Decimal('-2'))
Decimal('-2')
>>> ExtendedContext.min_mag(Decimal('-3'), Decimal('NaN'))
Decimal('-3')
>>> ExtendedContext.min_mag(1, -2)
Decimal('1')
>>> ExtendedContext.min_mag(Decimal(1), -2)
Decimal('1')
>>> ExtendedContext.min_mag(1, Decimal(-2))
Decimal('1')
|
min_mag
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def multiply(self, a, b):
"""multiply multiplies two operands.
If either operand is a special value then the general rules apply.
Otherwise, the operands are multiplied together
('long multiplication'), resulting in a number which may be as long as
the sum of the lengths of the two operands.
>>> ExtendedContext.multiply(Decimal('1.20'), Decimal('3'))
Decimal('3.60')
>>> ExtendedContext.multiply(Decimal('7'), Decimal('3'))
Decimal('21')
>>> ExtendedContext.multiply(Decimal('0.9'), Decimal('0.8'))
Decimal('0.72')
>>> ExtendedContext.multiply(Decimal('0.9'), Decimal('-0'))
Decimal('-0.0')
>>> ExtendedContext.multiply(Decimal('654321'), Decimal('654321'))
Decimal('4.28135971E+11')
>>> ExtendedContext.multiply(7, 7)
Decimal('49')
>>> ExtendedContext.multiply(Decimal(7), 7)
Decimal('49')
>>> ExtendedContext.multiply(7, Decimal(7))
Decimal('49')
"""
a = _convert_other(a, raiseit=True)
r = a.__mul__(b, context=self)
if r is NotImplemented:
raise TypeError("Unable to convert %s to Decimal" % b)
else:
return r
|
multiply multiplies two operands.
If either operand is a special value then the general rules apply.
Otherwise, the operands are multiplied together
('long multiplication'), resulting in a number which may be as long as
the sum of the lengths of the two operands.
>>> ExtendedContext.multiply(Decimal('1.20'), Decimal('3'))
Decimal('3.60')
>>> ExtendedContext.multiply(Decimal('7'), Decimal('3'))
Decimal('21')
>>> ExtendedContext.multiply(Decimal('0.9'), Decimal('0.8'))
Decimal('0.72')
>>> ExtendedContext.multiply(Decimal('0.9'), Decimal('-0'))
Decimal('-0.0')
>>> ExtendedContext.multiply(Decimal('654321'), Decimal('654321'))
Decimal('4.28135971E+11')
>>> ExtendedContext.multiply(7, 7)
Decimal('49')
>>> ExtendedContext.multiply(Decimal(7), 7)
Decimal('49')
>>> ExtendedContext.multiply(7, Decimal(7))
Decimal('49')
|
multiply
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def next_toward(self, a, b):
"""Returns the number closest to a, in direction towards b.
The result is the closest representable number from the first
operand (but not the first operand) that is in the direction
towards the second operand, unless the operands have the same
value.
>>> c = ExtendedContext.copy()
>>> c.Emin = -999
>>> c.Emax = 999
>>> c.next_toward(Decimal('1'), Decimal('2'))
Decimal('1.00000001')
>>> c.next_toward(Decimal('-1E-1007'), Decimal('1'))
Decimal('-0E-1007')
>>> c.next_toward(Decimal('-1.00000003'), Decimal('0'))
Decimal('-1.00000002')
>>> c.next_toward(Decimal('1'), Decimal('0'))
Decimal('0.999999999')
>>> c.next_toward(Decimal('1E-1007'), Decimal('-100'))
Decimal('0E-1007')
>>> c.next_toward(Decimal('-1.00000003'), Decimal('-10'))
Decimal('-1.00000004')
>>> c.next_toward(Decimal('0.00'), Decimal('-0.0000'))
Decimal('-0.00')
>>> c.next_toward(0, 1)
Decimal('1E-1007')
>>> c.next_toward(Decimal(0), 1)
Decimal('1E-1007')
>>> c.next_toward(0, Decimal(1))
Decimal('1E-1007')
"""
a = _convert_other(a, raiseit=True)
return a.next_toward(b, context=self)
|
Returns the number closest to a, in direction towards b.
The result is the closest representable number from the first
operand (but not the first operand) that is in the direction
towards the second operand, unless the operands have the same
value.
>>> c = ExtendedContext.copy()
>>> c.Emin = -999
>>> c.Emax = 999
>>> c.next_toward(Decimal('1'), Decimal('2'))
Decimal('1.00000001')
>>> c.next_toward(Decimal('-1E-1007'), Decimal('1'))
Decimal('-0E-1007')
>>> c.next_toward(Decimal('-1.00000003'), Decimal('0'))
Decimal('-1.00000002')
>>> c.next_toward(Decimal('1'), Decimal('0'))
Decimal('0.999999999')
>>> c.next_toward(Decimal('1E-1007'), Decimal('-100'))
Decimal('0E-1007')
>>> c.next_toward(Decimal('-1.00000003'), Decimal('-10'))
Decimal('-1.00000004')
>>> c.next_toward(Decimal('0.00'), Decimal('-0.0000'))
Decimal('-0.00')
>>> c.next_toward(0, 1)
Decimal('1E-1007')
>>> c.next_toward(Decimal(0), 1)
Decimal('1E-1007')
>>> c.next_toward(0, Decimal(1))
Decimal('1E-1007')
|
next_toward
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
def power(self, a, b, modulo=None):
"""Raises a to the power of b, to modulo if given.
With two arguments, compute a**b. If a is negative then b
must be integral. The result will be inexact unless b is
integral and the result is finite and can be expressed exactly
in 'precision' digits.
With three arguments, compute (a**b) % modulo. For the
three argument form, the following restrictions on the
arguments hold:
- all three arguments must be integral
- b must be nonnegative
- at least one of a or b must be nonzero
- modulo must be nonzero and have at most 'precision' digits
The result of pow(a, b, modulo) is identical to the result
that would be obtained by computing (a**b) % modulo with
unbounded precision, but is computed more efficiently. It is
always exact.
>>> c = ExtendedContext.copy()
>>> c.Emin = -999
>>> c.Emax = 999
>>> c.power(Decimal('2'), Decimal('3'))
Decimal('8')
>>> c.power(Decimal('-2'), Decimal('3'))
Decimal('-8')
>>> c.power(Decimal('2'), Decimal('-3'))
Decimal('0.125')
>>> c.power(Decimal('1.7'), Decimal('8'))
Decimal('69.7575744')
>>> c.power(Decimal('10'), Decimal('0.301029996'))
Decimal('2.00000000')
>>> c.power(Decimal('Infinity'), Decimal('-1'))
Decimal('0')
>>> c.power(Decimal('Infinity'), Decimal('0'))
Decimal('1')
>>> c.power(Decimal('Infinity'), Decimal('1'))
Decimal('Infinity')
>>> c.power(Decimal('-Infinity'), Decimal('-1'))
Decimal('-0')
>>> c.power(Decimal('-Infinity'), Decimal('0'))
Decimal('1')
>>> c.power(Decimal('-Infinity'), Decimal('1'))
Decimal('-Infinity')
>>> c.power(Decimal('-Infinity'), Decimal('2'))
Decimal('Infinity')
>>> c.power(Decimal('0'), Decimal('0'))
Decimal('NaN')
>>> c.power(Decimal('3'), Decimal('7'), Decimal('16'))
Decimal('11')
>>> c.power(Decimal('-3'), Decimal('7'), Decimal('16'))
Decimal('-11')
>>> c.power(Decimal('-3'), Decimal('8'), Decimal('16'))
Decimal('1')
>>> c.power(Decimal('3'), Decimal('7'), Decimal('-16'))
Decimal('11')
>>> c.power(Decimal('23E12345'), Decimal('67E189'), Decimal('123456789'))
Decimal('11729830')
>>> c.power(Decimal('-0'), Decimal('17'), Decimal('1729'))
Decimal('-0')
>>> c.power(Decimal('-23'), Decimal('0'), Decimal('65537'))
Decimal('1')
>>> ExtendedContext.power(7, 7)
Decimal('823543')
>>> ExtendedContext.power(Decimal(7), 7)
Decimal('823543')
>>> ExtendedContext.power(7, Decimal(7), 2)
Decimal('1')
"""
a = _convert_other(a, raiseit=True)
r = a.__pow__(b, modulo, context=self)
if r is NotImplemented:
raise TypeError("Unable to convert %s to Decimal" % b)
else:
return r
|
Raises a to the power of b, to modulo if given.
With two arguments, compute a**b. If a is negative then b
must be integral. The result will be inexact unless b is
integral and the result is finite and can be expressed exactly
in 'precision' digits.
With three arguments, compute (a**b) % modulo. For the
three argument form, the following restrictions on the
arguments hold:
- all three arguments must be integral
- b must be nonnegative
- at least one of a or b must be nonzero
- modulo must be nonzero and have at most 'precision' digits
The result of pow(a, b, modulo) is identical to the result
that would be obtained by computing (a**b) % modulo with
unbounded precision, but is computed more efficiently. It is
always exact.
>>> c = ExtendedContext.copy()
>>> c.Emin = -999
>>> c.Emax = 999
>>> c.power(Decimal('2'), Decimal('3'))
Decimal('8')
>>> c.power(Decimal('-2'), Decimal('3'))
Decimal('-8')
>>> c.power(Decimal('2'), Decimal('-3'))
Decimal('0.125')
>>> c.power(Decimal('1.7'), Decimal('8'))
Decimal('69.7575744')
>>> c.power(Decimal('10'), Decimal('0.301029996'))
Decimal('2.00000000')
>>> c.power(Decimal('Infinity'), Decimal('-1'))
Decimal('0')
>>> c.power(Decimal('Infinity'), Decimal('0'))
Decimal('1')
>>> c.power(Decimal('Infinity'), Decimal('1'))
Decimal('Infinity')
>>> c.power(Decimal('-Infinity'), Decimal('-1'))
Decimal('-0')
>>> c.power(Decimal('-Infinity'), Decimal('0'))
Decimal('1')
>>> c.power(Decimal('-Infinity'), Decimal('1'))
Decimal('-Infinity')
>>> c.power(Decimal('-Infinity'), Decimal('2'))
Decimal('Infinity')
>>> c.power(Decimal('0'), Decimal('0'))
Decimal('NaN')
>>> c.power(Decimal('3'), Decimal('7'), Decimal('16'))
Decimal('11')
>>> c.power(Decimal('-3'), Decimal('7'), Decimal('16'))
Decimal('-11')
>>> c.power(Decimal('-3'), Decimal('8'), Decimal('16'))
Decimal('1')
>>> c.power(Decimal('3'), Decimal('7'), Decimal('-16'))
Decimal('11')
>>> c.power(Decimal('23E12345'), Decimal('67E189'), Decimal('123456789'))
Decimal('11729830')
>>> c.power(Decimal('-0'), Decimal('17'), Decimal('1729'))
Decimal('-0')
>>> c.power(Decimal('-23'), Decimal('0'), Decimal('65537'))
Decimal('1')
>>> ExtendedContext.power(7, 7)
Decimal('823543')
>>> ExtendedContext.power(Decimal(7), 7)
Decimal('823543')
>>> ExtendedContext.power(7, Decimal(7), 2)
Decimal('1')
|
power
|
python
|
mchristopher/PokemonGo-DesktopMap
|
app/pywin/Lib/decimal.py
|
https://github.com/mchristopher/PokemonGo-DesktopMap/blob/master/app/pywin/Lib/decimal.py
|
MIT
|
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