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Code Editor : vector.py
#!/usr/bin/env python3 """ A demonstration of classes and their special methods in Python. """ class Vec: """A simple vector class. Instances of the Vec class can be constructed from numbers >>> a = Vec(1, 2, 3) >>> b = Vec(3, 2, 1) added >>> a + b Vec(4, 4, 4) subtracted >>> a - b Vec(-2, 0, 2) and multiplied by a scalar on the left >>> 3.0 * a Vec(3.0, 6.0, 9.0) or on the right >>> a * 3.0 Vec(3.0, 6.0, 9.0) and dot product >>> a.dot(b) 10 and printed in vector notation >>> print(a) <1 2 3> """ def __init__(self, *v): self.v = list(v) @classmethod def fromlist(cls, v): if not isinstance(v, list): raise TypeError inst = cls() inst.v = v return inst def __repr__(self): args = ', '.join([repr(x) for x in self.v]) return f'{type(self).__name__}({args})' def __str__(self): components = ' '.join([str(x) for x in self.v]) return f'<{components}>' def __len__(self): return len(self.v) def __getitem__(self, i): return self.v[i] def __add__(self, other): "Element-wise addition" v = [x + y for x, y in zip(self.v, other.v)] return Vec.fromlist(v) def __sub__(self, other): "Element-wise subtraction" v = [x - y for x, y in zip(self.v, other.v)] return Vec.fromlist(v) def __mul__(self, scalar): "Multiply by scalar" v = [x * scalar for x in self.v] return Vec.fromlist(v) __rmul__ = __mul__ def dot(self, other): "Vector dot product" if not isinstance(other, Vec): raise TypeError return sum(x_i * y_i for (x_i, y_i) in zip(self, other)) def test(): import doctest doctest.testmod() test()
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