from array import array
import math
import functools
import itertools
import operator
import reprlib
class Vector:
typecode = 'd'
def __init__(self, components):
self._components = array(self.typecode, components)
def __iter__(self):
return iter(self._components)
def __repr__(self):
components = reprlib.repr(self._components)
components = components[components.find('['):-1]
return f'Vector({components})'
def __str__(self):
return str(tuple(self))
def __bytes__(self):
return (bytes([ord(self.typecode)]) + bytes(self._components))
def __eq__(self, other):
return (len(self) == len(other) and all(a ==b for a, b in zip(self, other)))
def __hash__(self):
hashes = (hash(x) for x in self)
return functools.reduce(operator.xor, hashes, 0)
def __abs__(self):
return math.hypot(*self)
def __bool__(self):
return bool(abs(self))
def __len__(self):
return len(self._components)
def __getitem__(self, key):
if isinstance(key, slice):
cls = type(self)
return cls(self._components[key])
index = operator.index(key)
return self._components[index]
__match_args__ = ('x','y', 'z', 't')
def __getattr__(self, name):
cls = type(self)
try:
pos = cls.__match_args__.index(name)
except ValueError:
pos = -1
if 0 <= pos < len(self._components):
return self._components[pos]
msg = f'{cls.__name__!r} object has no attribute {name!r}'
raise AttributeError(msg)
def __setattr__(self, name, value):
cls = type(self)
if len(name) == 1:
if name in cls.__match_args__:
error = 'readonly attribute {attr_name!r}'
elif name.islower():
error = "can't set attribute 'a' to 'z' in {cls_name!r}"
else:
error = ""
if error:
msg = error.format(cls_name = cls.__name__, attr_name = name)
raise AttributeError(msg)
super().__setattr__(name, value)
def angle(self, n):
r = math.hypot(*self[n])
a = math.atan2(r, self[n-1])
if (n == len(self) -1) and (self[-1] < 0):
return math.pi * 2 - a
else:
return a
def angles(self):
return (self.angle(n) for n in range(1, len(self)))
def __format__(self, format_spec = ''):
if format_spec.endswith('p'):
format_spec = format_spec[:-1]
coords = itertools.chain([abs(self)], self.angles())
outer_fmt = '<{}>'
else:
coords = self
outer_fmt = '({})'
components = (format(c, format_spec) for c in coords)
return outer_fmt.format(", ".join(components))
@classmethod
def frombytes(cls, octets):
typecode = chr(octets[0])
memv = memoryview(octets[1:]).cast(typecode)
return cls(memv)