def _value_to_ratio(self, value):
"""Convert from value to ratio."""
return (
math_tools.sign(value)
* (2 / math.pi)
* math.acos(math.exp(-(math.pi * math.sqrt(abs(value))) / (2 * math.sqrt(self.sensitivity))))
)
def __pow__(self, other):
if isinstance(other, Infinity):
raise object # todo
elif is_floatable(other):
s = math_tools.sign(other)
if s==0:
raise InfinityRaceError
else:
if self.direction==1:
if s==1:
return self
if s==-1:
return 0
else: #self.direction == -1
if is_nonfractional(other):
if s==-1:
return 0
if s==1:
if s % 2 == 0:
return Infinity()
else:
return Infinity(-1)
else: # is_nonfractional(other) is False
raise ValueError("Negative number cannot be raised "
"to a fractional power")
def __pow__(self, other):
if isinstance(other, Infinity):
raise object # todo
elif is_floatable(other):
s = math_tools.sign(other)
if s == 0:
raise InfinityRaceError
else:
if self.direction == 1:
if s == 1:
return self
if s == -1:
return 0
else: #self.direction == -1
if is_nonfractional(other):
if s == -1:
return 0
if s == 1:
if s % 2 == 0:
return Infinity()
else:
return Infinity(-1)
else: # is_nonfractional(other) is False
raise ValueError("Negative number cannot be raised "
"to a fractional power")
def _ratio_to_value(self, ratio):
"""Convert from ratio to value."""
return (
self.sensitivity
* math_tools.sign(ratio)
* (4 / math.pi ** 2)
* math.log(math.cos(ratio * math.pi / 2)) ** 2
)
def __div__(self, other):
if isinstance(other, Infinity):
raise InfinityRaceError
elif is_floatable(other):
s = math_tools.sign(other)
if s==0:
raise InfinityRaceError
else:
return Infinity(direction=self.direction * s)
def __div__(self, other):
if isinstance(other, Infinity):
raise InfinityRaceError
elif is_floatable(other):
s = math_tools.sign(other)
if s == 0:
raise InfinityRaceError
else:
return Infinity(direction=self.direction * s)
def _value_to_ratio(self, value):
'''Convert from value to ratio.'''
return math_tools.sign(value) * \
(2 / math.pi) * \
math.acos(
math.exp(
- (math.pi * math.sqrt(abs(value))) / \
(2 * math.sqrt(self.sensitivity))
)
)
def _value_to_ratio(self, value):
'''Convert from value to ratio.'''
return math_tools.sign(value) * \
(2 / math.pi) * \
math.acos(
math.exp(
- (math.pi * math.sqrt(abs(value))) / \
(2 * math.sqrt(self.sensitivity))
)
)
def _ratio_to_value(self, ratio):
'''Convert from ratio to value.'''
return self.sensitivity * \
math_tools.sign(ratio) * \
(4 / math.pi**2) * \
math.log(math.cos(ratio * math.pi / 2))**2
def _ratio_to_value(self, ratio):
'''Convert from ratio to value.'''
return self.sensitivity * \
math_tools.sign(ratio) * \
(4 / math.pi**2) * \
math.log(math.cos(ratio * math.pi / 2))**2
