class FVal():
"""A value to represent numbers for financial applications. At the moment
we use the python Decimal library but the abstraction will help us change the
underlying implementation if needed.
At the moment we do not allow any operations against floating points. Even though
floating points could be converted to Decimals before each operation we will
use this restriction to make sure floating point numbers are rooted from the codebase first.
"""
__slots__ = ('num',)
def __init__(self, data: AcceptableFValInitInput = 0):
try:
if isinstance(data, float):
self.num = Decimal(str(data))
elif isinstance(data, bytes):
# assume it's an ascii string and try to decode the bytes to one
self.num = Decimal(data.decode())
elif isinstance(data, bool): # type: ignore
# This elif has to come before the isinstance(int) check due to
# https://stackoverflow.com/questions/37888620/comparing-boolean-and-int-using-isinstance
raise ValueError('Invalid type bool for data given to FVal constructor')
elif isinstance(data, (Decimal, int, str)):
self.num = Decimal(data)
elif isinstance(data, FVal):
self.num = data.num
else:
raise ValueError(f'Invalid type {type(data)} of data given to FVal constructor')
except InvalidOperation as e:
raise ValueError(
'Expected string, int, float, or Decimal to initialize an FVal.'
'Found {}.'.format(type(data)),
) from e
def __str__(self) -> str:
return str(self.num)
def __repr__(self) -> str:
return 'FVal({})'.format(str(self.num))
def __gt__(self, other: AcceptableFValOtherInput) -> bool:
evaluated_other = evaluate_input(other)
return self.num.compare_signal(evaluated_other) == Decimal('1')
def __lt__(self, other: AcceptableFValOtherInput) -> bool:
evaluated_other = evaluate_input(other)
return self.num.compare_signal(evaluated_other) == Decimal('-1')
def __le__(self, other: AcceptableFValOtherInput) -> bool:
evaluated_other = evaluate_input(other)
return self.num.compare_signal(evaluated_other) in (Decimal('-1'), Decimal('0'))
def __ge__(self, other: AcceptableFValOtherInput) -> bool:
evaluated_other = evaluate_input(other)
return self.num.compare_signal(evaluated_other) in (Decimal('1'), Decimal('0'))
def __eq__(self, other: object) -> bool:
evaluated_other = evaluate_input(other)
return self.num.compare_signal(evaluated_other) == Decimal('0')
def __add__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__add__(evaluated_other))
def __sub__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__sub__(evaluated_other))
def __mul__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__mul__(evaluated_other))
def __truediv__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__truediv__(evaluated_other))
def __floordiv__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__floordiv__(evaluated_other))
def __pow__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__pow__(evaluated_other))
def __radd__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__radd__(evaluated_other))
def __rsub__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__rsub__(evaluated_other))
def __rmul__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__rmul__(evaluated_other))
def __rtruediv__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__rtruediv__(evaluated_other))
def __rfloordiv__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__rfloordiv__(evaluated_other))
def __mod__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__mod__(evaluated_other))
def __rmod__(self, other: AcceptableFValOtherInput) -> 'FVal':
evaluated_other = evaluate_input(other)
return FVal(self.num.__rmod__(evaluated_other))
def __float__(self) -> float:
return float(self.num)
# --- Unary operands
def __neg__(self) -> 'FVal':
return FVal(self.num.__neg__())
def __abs__(self) -> 'FVal':
return FVal(self.num.copy_abs())
# --- Other operations
def fma(self, other: AcceptableFValOtherInput, third: AcceptableFValOtherInput) -> 'FVal':
"""
Fused multiply-add. Return self*other+third with no rounding of the
intermediate product self*other
"""
evaluated_other = evaluate_input(other)
evaluated_third = evaluate_input(third)
return FVal(self.num.fma(evaluated_other, evaluated_third))
def to_percentage(self, precision: int = 4, with_perc_sign: bool = True) -> str:
return f'{self.num*100:.{precision}f}{"%" if with_perc_sign else ""}'
def to_int(self, exact: bool) -> int:
"""
Tries to convert to int, If `exact` is true then it will convert only if
it is a whole decimal number; i.e.: if it has got nothing after the decimal point
Raises:
ConversionError: If exact was True but the FVal is actually not an exact integer.
"""
if exact and self.num.to_integral_exact() != self.num:
raise ConversionError(f'Tried to ask for exact int from {self.num}')
return int(self.num)
def is_close(self, other: AcceptableFValInitInput, max_diff: str = "1e-6") -> bool:
evaluated_max_diff = FVal(max_diff)
if not isinstance(other, FVal):
other = FVal(other)
diff_num = abs(self.num - other.num)
return diff_num <= evaluated_max_diff.num
def __rtruediv__(self, other, context=None):
if PY2:
return TimeValue(Decimal.__rtruediv__(self, other, context))
return TimeValue(Decimal.__rtruediv__(self, other))
class FVal(object):
"""A value to represent numbers for financial applications. At the moment
we use the python Decimal library but the abstraction will help us change the
underlying implementation if needed.
At the moment we do not allow any operations against floating points. Even though
floating points could be converted to Decimals before each operation we will
use this restriction to make sure floating point numbers are rooted from the codebase first.
"""
__slots__ = ('num',)
def __init__(self, data):
try:
if isinstance(data, float):
self.num = Decimal(str(data))
elif isinstance(data, bytes):
# assume it's an ascii string and try to decode the bytes to one
self.num = Decimal(data.decode())
elif isinstance(data, (Decimal, int, str)):
self.num = Decimal(data)
elif isinstance(data, FVal):
self.num = data.num
else:
self.num = None
except InvalidOperation:
self.num = None
if not self.num:
raise ValueError(
'Expected string, int, float, or Decimal to initialize an FVal.'
'Found {}.'.format(type(data))
)
def __str__(self):
return str(self.num)
def __repr__(self):
return 'FVal({})'.format(str(self.num))
def __gt__(self, other):
other = evaluate_input(other)
return self.num.compare_signal(other) == Decimal('1')
def __lt__(self, other):
other = evaluate_input(other)
return self.num.compare_signal(other) == Decimal('-1')
def __le__(self, other):
other = evaluate_input(other)
return self.num.compare_signal(other) in (Decimal('-1'), Decimal('0'))
def __ge__(self, other):
other = evaluate_input(other)
return self.num.compare_signal(other) in (Decimal('1'), Decimal('0'))
def __eq__(self, other):
other = evaluate_input(other)
return self.num.compare_signal(other) == Decimal('0')
def __add__(self, other):
other = evaluate_input(other)
return FVal(self.num.__add__(other))
def __sub__(self, other):
other = evaluate_input(other)
return FVal(self.num.__sub__(other))
def __mul__(self, other):
other = evaluate_input(other)
return FVal(self.num.__mul__(other))
def __truediv__(self, other):
other = evaluate_input(other)
return FVal(self.num.__truediv__(other))
def __floordiv__(self, other):
other = evaluate_input(other)
return FVal(self.num.__floordiv__(other))
def __pow__(self, other):
other = evaluate_input(other)
return FVal(self.num.__pow__(other))
def __radd__(self, other):
other = evaluate_input(other)
return FVal(self.num.__radd__(other))
def __rsub__(self, other):
other = evaluate_input(other)
return FVal(self.num.__rsub__(other))
def __rmul__(self, other):
other = evaluate_input(other)
return FVal(self.num.__rmul__(other))
def __rtruediv__(self, other):
other = evaluate_input(other)
return FVal(self.num.__rtruediv__(other))
def __rfloordiv__(self, other):
other = evaluate_input(other)
return FVal(self.num.__rfloordiv__(other))
def __float__(self):
return float(self.num)
# --- Unary operands
def __neg__(self):
return FVal(self.num.__neg__())
def __abs__(self):
return FVal(self.num.copy_abs())
# --- Other oparations
def fma(self, other, third):
"""
Fused multiply-add. Return self*other+third with no rounding of the
intermediate product self*other
"""
other = evaluate_input(other)
third = evaluate_input(third)
return FVal(self.num.fma(other, third))
def to_percentage(self):
return '{:.5%}'.format(self.num)
def to_int(self, exact):
"""Tries to convert to int, If `exact` is true then it will convert only if
it is a whole decimal number; i.e.: if it has got nothing after the decimal point"""
if exact and self.num.to_integral_exact() != self.num:
raise ValueError('Tried to ask for exact int from {}'.format(self.num))
return int(self.num)
def is_close(self, other, max_diff="1e-6"):
max_diff = FVal(max_diff)
if not isinstance(other, FVal):
other = FVal(other)
diff_num = abs(self.num - other.num)
return diff_num <= max_diff.num
class ContractingDecimal:
def _get_other(self, other):
if type(other) == ContractingDecimal:
return other._d
elif type(other) == float or type(other) == int:
o = str(other)
return Decimal(neg_sci_not(o))
return other
def __init__(self, a):
if type(a) == float or type(a) == int:
o = str(a)
self._d = Decimal(neg_sci_not(o))
elif type(a) == Decimal:
self._d = a
elif type(a) == str:
self._d = Decimal(neg_sci_not(a))
else:
self._d = Decimal(a)
def __bool__(self):
return self._d > 0
def __eq__(self, other):
return self._d.__eq__(self._get_other(other))
def __lt__(self, other):
return self._d.__lt__(self._get_other(other))
def __le__(self, other):
return self._d.__le__(self._get_other(other))
def __gt__(self, other):
return self._d.__gt__(self._get_other(other))
def __ge__(self, other):
return self._d.__ge__(self._get_other(other))
def __str__(self):
return self._d.__str__()
def __neg__(self):
return self._d.__neg__()
def __pos__(self):
return self._d.__pos__()
def __abs__(self):
return self._d.__abs__()
def __add__(self, other):
x = self._d.__add__(self._get_other(other))
return fix_precision(x)
def __radd__(self, other):
return fix_precision(self._d.__radd__(self._get_other(other)))
def __sub__(self, other):
return fix_precision(self._d.__sub__(self._get_other(other)))
def __rsub__(self, other):
return fix_precision(self._d.__rsub__(self._get_other(other)))
def __mul__(self, other):
return fix_precision(self._d.__mul__(self._get_other(other)))
def __rmul__(self, other):
return fix_precision(self._d.__rmul__(self._get_other(other)))
def __truediv__(self, other):
return fix_precision(self._d.__truediv__(self._get_other(other)))
def __rtruediv__(self, other):
return fix_precision(self._d.__rtruediv__(self._get_other(other)))
def __divmod__(self, other):
return fix_precision(self._d.__divmod__(self._get_other(other)))
def __rdivmod__(self, other):
return fix_precision(self._d.__divmod__(self._get_other(other)))
def __mod__(self, other):
return fix_precision(self._d.__mod__(self._get_other(other)))
def __rmod__(self, other):
return fix_precision(self._d.__rmod__(self._get_other(other)))
def __floordiv__(self, other):
return fix_precision(self._d.__floordiv__(self._get_other(other)))
def __rfloordiv__(self, other):
return fix_precision(self._d.__rfloordiv__(self._get_other(other)))
def __pow__(self, other):
return fix_precision(self._d.__pow__(self._get_other(other)))
def __rpow__(self, other):
return fix_precision(self._d.__rpow__(self._get_other(other)))
def __int__(self):
return self._d.__int__()
def __float__(self):
return float(self._d)
def __round__(self, n=None):
return self._d.__round__(n)
def __rtruediv__(self, other, context=None):
if PY2:
return TimeValue(Decimal.__rtruediv__(self, other, context))
return TimeValue(Decimal.__rtruediv__(self, other))
class ContractingDecimal:
def _get_other(self, other):
if type(other) == ContractingDecimal:
return other._d
elif type(other) == float or type(other) == int:
return Decimal(str(other))
return other
def __init__(self, a):
if type(a) == float or type(a) == int:
a = str(a)
self._d = Decimal(a)
def __bool__(self):
return self._d > 0
def __eq__(self, other):
return self._d.__eq__(self._get_other(other))
def __lt__(self, other):
return self._d.__lt__(self._get_other(other))
def __le__(self, other):
return self._d.__le__(self._get_other(other))
def __gt__(self, other):
return self._d.__gt__(self._get_other(other))
def __ge__(self, other):
return self._d.__ge__(self._get_other(other))
def __str__(self):
return self._d.__str__()
def __neg__(self):
return self._d.__neg__()
def __pos__(self):
return self._d.__pos__()
def __abs__(self):
return self._d.__abs__()
def __add__(self, other):
x = self._d.__add__(self._get_other(other))
return fix_precision(x)
def __radd__(self, other):
return fix_precision(self._d.__radd__(self._get_other(other)))
def __sub__(self, other):
return fix_precision(self._d.__sub__(self._get_other(other)))
def __rsub__(self, other):
return fix_precision(self._d.__rsub__(self._get_other(other)))
def __mul__(self, other):
return fix_precision(self._d.__mul__(self._get_other(other)))
def __rmul__(self, other):
return fix_precision(self._d.__rmul__(self._get_other(other)))
def __truediv__(self, other):
return fix_precision(self._d.__truediv__(self._get_other(other)))
def __rtruediv__(self, other):
return fix_precision(self._d.__rtruediv__(self._get_other(other)))
def __divmod__(self, other):
return fix_precision(self._d.__divmod__(self._get_other(other)))
def __rdivmod__(self, other):
return fix_precision(self._d.__divmod__(self._get_other(other)))
def __mod__(self, other):
return fix_precision(self._d.__mod__(self._get_other(other)))
def __rmod__(self, other):
return fix_precision(self._d.__rmod__(self._get_other(other)))
def __floordiv__(self, other):
return fix_precision(self._d.__floordiv__(self._get_other(other)))
def __rfloordiv__(self, other):
return fix_precision(self._d.__rfloordiv__(self._get_other(other)))
def __pow__(self, other):
return fix_precision(self._d.__pow__(self._get_other(other)))
def __rpow__(self, other):
return fix_precision(self._d.__rpow__(self._get_other(other)))
def __int__(self):
return self._d.__int__()
def __float__(self):
raise Exception('Cannot cast Decimal to float.')
def __repr__(self):
return self._d.__repr__()