Python.use(better) #課題：ベクトル演算《クラス版》《source code》
‖記事一覧‖ Python.use(better)《Python3.1》
《余録》課題：ベクトル演算《クラス版》
《著》森こねこ、小粒ちゃん＋∞《監修》小泉ひよ子とタマゴ倶楽部
第０版♪2001/03/02 ● 第１版♪2003/05/25 ● 第２版♪2004/06/01 ● 第３版♪2009/02/28
課題を作成する過程を通して「数値演算」の理解を深めます。
※ Python1.5 で作成した例題を、Python3.1 で再構成しました。
課題：ソースコード
#! /usr/bin/env python # coding: utf-8 ## ---------------------------------------- ## ## (C) Copyright 2000-2009, 小粒ちゃん《監修》小泉ひよ子とタマゴ倶楽部 ## ## ---------------------------------------- # ..+....1....+....2....+....3....+....4....+....5....+....6....+....7....+....8 """ >>> None >>> ## ---------------------------------------- >>> None version: #1.0.34 """ ## ---------------------------------------- def step00(): """class Vector(object):""" class Vector(object): pass ## ---------------------------------------- local = locals() ex_vector0(local) ## ---------------------------------------- def step01(): """def __init__(self, *args):""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __repr__(self): return "(%s)"%", ".join(map(str, self.elements)) ## ---------------------------------------- local = locals() ex_vector1(local) ## ---------------------------------------- def step02x(): """def __add__(v1, v2):""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __repr__(self): return "(%s)"%", ".join(map(str,self.elements)) def __add__(v1, v2): s = [] for e1,e2 in zip(v1.elements, v2.elements): s.append(e1+e2) return Vector(s) ## ---------------------------------------- local = locals() ex_vector2(local) ## ---------------------------------------- def step03(): """return Vector(*s)""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __repr__(self): return "(%s)"%", ".join(map(str,self.elements)) def __add__(v1, v2): s = [e1+e2 for e1,e2 in zip(v1.elements, v2.elements)] return Vector(*s) ## ---------------------------------------- local = locals() ex_vector2(local) ## ---------------------------------------- def step04(): """def __sub__(v1, v2):""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __repr__(self): return "(%s)"%", ".join(map(str,self.elements)) def __add__(v1, v2): s = [e1+e2 for e1,e2 in zip(v1.elements, v2.elements)] return Vector(*s) def __sub__(v1, v2): s = [e1-e2 for e1,e2 in zip(v1.elements, v2.elements)] return Vector(*s) ## ---------------------------------------- local = locals() ex_vector3(local) ## ---------------------------------------- def step05(): """def __neg__(self):""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __repr__(self): return "(%s)"%", ".join(map(str,self.elements)) def __add__(v1, v2): s = [e1+e2 for e1,e2 in zip(v1.elements, v2.elements)] return Vector(*s) def __sub__(v1, v2): return v1+(-v2) def __neg__(self): s = [-e for e in self.elements] return Vector(*s) ## ---------------------------------------- local = locals() ex_vector4(local) ## ---------------------------------------- def step06(): """def __mul__(v1, v2):""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __repr__(self): return "(%s)"%", ".join(map(str,self.elements)) def __add__(v1, v2): s = [e1+e2 for e1,e2 in zip(v1.elements, v2.elements)] return Vector(*s) def __sub__(v1, v2): return v1+(-v2) def __neg__(self): s = [-e for e in self.elements] return Vector(*s) def __mul__(v1, v2): s = 0 for e1,e2 in zip(v1.elements, v2.elements): s += e1*e2 return s ## ---------------------------------------- local = locals() ex_vector5(local) ## ---------------------------------------- def step07x(): """sum(e1*e2 ...)""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __repr__(self): return "(%s)"%", ".join(map(str,self.elements)) def __add__(v1, v2): s = [e1+e2 for e1,e2 in zip(v1.elements, v2.elements)] return Vector(*s) def __sub__(v1, v2): return v1+(-v2) def __neg__(self): s = [-e for e in self.elements] return Vector(*s) def __mul__(v1, v2): return sum(e1*e2 for e1,e2 in zip(v1.elements, v2.elements)) ## ---------------------------------------- local = locals() ex_vector6(local) ## ---------------------------------------- def step08x(): """if hasattr(v2, "elements"):""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __repr__(self): return "(%s)"%", ".join(map(str,self.elements)) def __add__(v1, v2): s = [e1+e2 for e1,e2 in zip(v1.elements, v2.elements)] return Vector(*s) def __sub__(v1, v2): return v1+(-v2) def __neg__(self): s = [-e for e in self.elements] return Vector(*s) def __mul__(v1, v2): if hasattr(v2, "elements"): return sum(e1*e2 for e1,e2 in zip(v1.elements, v2.elements)) else: s = [e*v2 for e in v1.elements] return Vector(*s) ## ---------------------------------------- local = locals() ex_vector7(local) ## ---------------------------------------- def step09(): """def __rmul__(self, other):""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __repr__(self): return "(%s)"%", ".join(map(str,self.elements)) def __add__(v1, v2): s = [e1+e2 for e1,e2 in zip(v1.elements, v2.elements)] return Vector(*s) def __sub__(v1, v2): return v1+(-v2) def __neg__(self): s = [-e for e in self.elements] return Vector(*s) def __mul__(self, other): if hasattr(other, "elements"): return sum(e1*e2 for e1,e2 in zip(self.elements, other.elements)) else: s = [e*other for e in self.elements] return Vector(*s) def __rmul__(self, other): return self*other ## ---------------------------------------- local = locals() ex_vector8(local) ## ---------------------------------------- def step10(): """def __iter__(self):""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __iter__(self): #@: for e in self.elements: yield e def __repr__(self): return "(%s)"%", ".join(map(str,self)) def __add__(v1, v2): s = [e1+e2 for e1,e2 in zip(v1, v2)] return Vector(*s) def __sub__(v1, v2): return v1+(-v2) def __neg__(self): s = [-e for e in self] return Vector(*s) def __mul__(self, other): if isinstance(other, Vector): return sum(e1*e2 for e1,e2 in zip(self, other)) else: s = [e*other for e in self] return Vector(*s) def __rmul__(self, other): return self*other ## ---------------------------------------- local = locals() ex_vector8(local) ## ---------------------------------------- def step11x(): """def __radd__(self, other):""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __iter__(self): #@: for e in self.elements: yield e def __repr__(self): return "(%s)"%", ".join(map(str,self)) def __add__(v1, v2): s = [e1+e2 for e1,e2 in zip(v1, v2)] return Vector(*s) def __radd__(self, other): #@: return self+other def __sub__(v1, v2): return v1+(-v2) def __neg__(self): s = [-e for e in self] return Vector(*s) def __mul__(self, other): if isinstance(other, Vector): return sum(e1*e2 for e1,e2 in zip(self, other)) else: s = [e*other for e in self] return Vector(*s) def __rmul__(self, other): return self*other ## ---------------------------------------- local = locals() ex_vector8(local) ## ---------------------------------------- def step12x(): """raise(TypeError(s))""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __iter__(self): #@: for e in self.elements: yield e def __repr__(self): return "(%s)"%", ".join(map(str,self)) # TypeError: unsupported operand type(s) for +: 'int' and 'Vector' def __add__(self, other): if isinstance(other, Vector): s = [e1+e2 for e1,e2 in zip(self, other)] return Vector(*s) else: s = "unsupported operand type(s) for +: %r and %r"%( self.__class__.__name__, other.__class__.__name__, ) raise(TypeError(s)) def __radd__(self, other): #@: return self+other def __sub__(v1, v2): return v1+(-v2) def __neg__(self): s = [-e for e in self] return Vector(*s) def __mul__(v1, v2): if isinstance(v2, Vector): return sum(e1*e2 for e1,e2 in zip(v1, v2)) else: s = [e*v2 for e in v1] return Vector(*s) def __rmul__(v1, v2): return v1*v2 ## ---------------------------------------- local = locals() ex_vector8(local) ## ---------------------------------------- def step13(): """raise(TypeError(s))""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __iter__(self): #@: for e in self.elements: yield e def __repr__(self): return "(%s)"%", ".join(map(str,self)) # TypeError: unsupported operand type(s) for +: 'int' and 'Vector' def __add__(self, other): if isinstance(other, Vector): s = [e1+e2 for e1,e2 in zip(self, other)] return Vector(*s) else: s = "unsupported operand type(s) for +: %r and %r"%( self.__class__.__name__, other.__class__.__name__, ) raise(TypeError(s)) def __radd__(self, other): #@: if isinstance(other, Vector): return self+other else: s = "unsupported operand type(s) for +: %r and %r"%( other.__class__.__name__, self.__class__.__name__, ) raise(TypeError(s)) def __sub__(v1, v2): return v1+(-v2) def __neg__(self): s = [-e for e in self] return Vector(*s) def __mul__(self, other): if isinstance(other, Vector): return sum(e1*e2 for e1,e2 in zip(self, other)) else: s = [e*other for e in self] return Vector(*s) def __rmul__(self, other): return self*other ## ---------------------------------------- local = locals() ex_vector8(local) ## ---------------------------------------- def step14(): """def _typeError(self, v1, v2, op):""" class Vector(object): def __init__(self, *args): self.elements = list(args) def __iter__(self): #@: for e in self.elements: yield e def __repr__(self): return "(%s)"%", ".join(map(str,self)) ## ---------------------------------------- def __add__(self, other): if isinstance(other, Vector): s = [e1+e2 for e1,e2 in zip(self, other)] return Vector(*s) else: self._typeError(self, other, "+") def __radd__(self, other): #@: if isinstance(other, Vector): return self+other else: self._typeError(other, self, "+") ## ---------------------------------------- def __sub__(self, other): if isinstance(other, Vector): return self+(-other) else: self._typeError(self, other, "-") def __rsub__(self, other): if isinstance(other, Vector): return self-other else: self._typeError(other, self, "-") ## ---------------------------------------- def __neg__(self): s = [-e for e in self] return Vector(*s) ## ---------------------------------------- def __mul__(self, other): if isinstance(other, Vector): return sum(e1*e2 for e1,e2 in zip(self, other)) else: s = [e*other for e in self] return Vector(*s) def __rmul__(self, other): return self*other ## ---------------------------------------- # TypeError: unsupported operand type(s) for +: 'int' and 'Vector' _error = "unsupported operand type(s) for %s: %r and %r" def _typeError(self, v1, v2, op): s = self._error%(op, self._name(v1), self._name(v2)) raise(TypeError(s)) def _name(self, obj): return obj.__class__.__name__ ## ---------------------------------------- local = locals() ex_vector8(local) ## ---------------------------------------- ## ---------------------------------------- def ex_vector0(local): #@: source = ''' v = Vector(); v '''.split("\n") do_it(source, local) ## ---------------------------------------- def ex_vector1(local): #@: ex_vector0(local) source = ''' v1 = Vector(3,4); v1 '''.split("\n") do_it(source, local) ## ---------------------------------------- def ex_vector2(local): #@: ex_vector1(local) source = ''' v2 = Vector(5,-2); v2 v1+v2 '''.split("\n") do_it(source, local) ## ---------------------------------------- def ex_vector3(local): #@: ex_vector2(local) source = ''' v1-v2 v2-v1 '''.split("\n") do_it(source, local) ## ---------------------------------------- def ex_vector4(local): #@: ex_vector3(local) source = ''' -v1 -v2 '''.split("\n") do_it(source, local) ## ---------------------------------------- def ex_vector5(local): #@: ex_vector4(local) source = ''' v1*v2 v2*v1 '''.split("\n") do_it(source, local) ## ---------------------------------------- def ex_vector6(local): #@: ex_vector5(local) source = ''' v1*3 v2*(-2) '''.split("\n") do_it(source, local) ## ---------------------------------------- def ex_vector7(local): #@: ex_vector6(local) source = ''' 3*v1 (-2)*v2 '''.split("\n") do_it(source, local) ## ---------------------------------------- def ex_vector8(local): #@: ex_vector7(local) source = ''' 2+v1 v2+5 2-v1 v2-5 '''.split("\n") do_it(source, local) ## ---------------------------------------- def do_it(source, local): for e in source[1:-1]: try: print_(e, local) except AttributeError as error: print("AttributeError:", error) except TypeError as error: print("TypeError:", error) ## ---------------------------------------- def print_(source, local, mode="single"): print(">>>",source) eval(compile(source,"",mode),globals(),local) ## ======================================== s = "step" DIR = [e for e in dir() if e.startswith(s)] DIR = dict*1 DIR = list(DIR.items()); DIR.sort() def ex(): n = (len(DIR)-1)//10+1 for k,v in DIR: source = ''' x = eval("%%s.__doc__"%%v) print("%%%dd: %%s -- %%s"%%(k,v,x)) '''%n eval(compile(source,"","exec")) def do_all(): for k,v in DIR: do(k) def do(k=None): if k is None: ex(); return try: k,v = DIR[k] print(">>> #","-"*50,v) eval("%s()"%v) except IndexError: print("(x_x) too bad ... %s"%k) ## ---------------------------------------- from time import ctime def time_stamp(): print("="*24) print(ctime()) print("="*24) ## ---------------------------------------- from doctest import testmod if __name__=='__main__': time_stamp() testmod() ## ======================================== class Vector(object): def __init__(self, *args): self.elements = list(args) def __iter__(self): #@: for e in self.elements: yield e def __repr__(self): return "(%s)"%", ".join(map(str,self)) ## ---------------------------------------- def __add__(self, other): if isinstance(other, Vector): s = [e1+e2 for e1,e2 in zip(self, other)] return Vector(*s) else: self._typeError(self, other, "+") def __radd__(self, other): #@: if isinstance(other, Vector): return self+other else: self._typeError(other, self, "+") ## ---------------------------------------- def __sub__(self, other): if isinstance(other, Vector): return self+(-other) else: self._typeError(self, other, "-") def __rsub__(self, other): if isinstance(other, Vector): return self-other else: self._typeError(other, self, "-") ## ---------------------------------------- def __neg__(self): s = [-e for e in self] return Vector(*s) ## ---------------------------------------- def __mul__(self, other): if isinstance(other, Vector): return sum(e1*e2 for e1,e2 in zip(self, other)) else: s = [e*other for e in self] return Vector(*s) def __rmul__(self, other): return self*other ## ---------------------------------------- # TypeError: unsupported operand type(s) for +: 'int' and 'Vector' _error = "unsupported operand type(s) for %s: %r and %r" def _typeError(self, v1, v2, op): s = self._error%(op, self._name(v1), self._name(v2)) raise(TypeError(s)) def _name(self, obj): return obj.__class__.__name__ ## 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*1:i,e) for i,e in enumerate(DIR
