explain works for Expression. Need to adapt Fraction and Polynom now
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#!/usr/bin/env python
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# encoding: utf-8
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class Renderable_expression(object):
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"""Docstring for Renderable_expression. """
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def __init__(self):
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"""@todo: to be defined1. """
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class Computable_expression(Renderable_expression):
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""" A computable_expression is an expression represented by a list of postfix tokens. It's a parent class of a more classical Expression, Fraction and Polynom (and later square root)
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Child class will herits those methods
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* simplify: Compute entirely the expression
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* explain: Generator which return steps which leed to himself
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"""
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def __init__(self):
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"""@todo: to be defined1. """
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pass
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def simplify(self):
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""" Simplify the expression
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:returns: the simplified expression with .steps attributes where steps are stocked
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"""
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pass
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def explain(self):
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""" Generate and render steps which leed to itself """
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pass
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# -----------------------------
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# Reglages pour 'vim'
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# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del
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40
pymath/explicable.py
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40
pymath/explicable.py
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#!/usr/bin/env python
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# encoding: utf-8
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class Explicable(object):
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""" An Explicable object is an object which can be explicable!
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It's a parent class of a more classical Expression, Fraction and Polynom (and later square root)
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Child class will have the following method
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* explain: Generator which return steps which leed to himself
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"""
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def __init__(self, *args, **kwargs):
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self.steps = []
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def explain(self):
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""" Generate and render steps which leed to itself """
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old_s = ''
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# les étapes pour l'atteindre
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try:
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for s in self.steps:
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new_s = self.STR_RENDER(s)
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if new_s != old_s:
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old_s = new_s
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yield new_s
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except AttributeError:
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pass
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# Lui même
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new_s = self.STR_RENDER(self.postfix_tokens)
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if new_s != old_s:
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yield new_s
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# -----------------------------
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# Reglages pour 'vim'
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# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del
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@ -2,17 +2,16 @@
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# encoding: utf-8
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# encoding: utf-8
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from .generic import Stack, flatten_list, expand_list, isNumber, isOperator, isNumerand
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from .generic import Stack, flatten_list, expand_list, isNumber, isOperator, isNumerand
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from .render import txt, tex
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from .str2tokens import str2tokens
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from .str2tokens import str2tokens
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from .operator import op
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from .operator import op
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from .render import txt, tex
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from .explicable import Explicable
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from .random_expression import RdExpression
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from .random_expression import RdExpression
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__all__ = ['Expression']
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__all__ = ['Expression', 'Renderable']
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class Expression(object):
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"""A calculus expression. Today it can andle only expression with numbers later it will be able to manipulate unknown"""
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class Renderable(object):
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STR_RENDER = tex
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STR_RENDER = tex
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DEFAULT_RENDER = tex
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DEFAULT_RENDER = tex
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@ -21,7 +20,7 @@ class Expression(object):
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cls.STR_RENDER = render
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cls.STR_RENDER = render
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@classmethod
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@classmethod
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def get_render(cls ):
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def get_render(cls):
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return cls.STR_RENDER
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return cls.STR_RENDER
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@classmethod
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@classmethod
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@ -37,23 +36,23 @@ class Expression(object):
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>>> exp = Expression("2*3/5")
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>>> exp = Expression("2*3/5")
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>>> print(exp)
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>>> print(exp)
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\\frac{ 2 \\times 3 }{ 5 }
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\\frac{ 2 \\times 3 }{ 5 }
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>>> for i in exp.simplify():
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>>> for i in exp.simplify().explain():
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... print(i)
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... print(i)
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\\frac{ 2 \\times 3 }{ 5 }
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\\frac{ 2 \\times 3 }{ 5 }
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\\frac{ 6 }{ 5 }
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\\frac{ 6 }{ 5 }
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>>> with Expression.tmp_render():
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>>> with Expression.tmp_render():
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... for i in exp.simplify():
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... for i in exp.simplify().explain():
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... i
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... i
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< Expression [2, 3, '*', 5, '/']>
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< Expression [2, 3, '*', 5, '/']>
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< Expression [6, 5, '/']>
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< Expression [6, 5, '/']>
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< Fraction 6 / 5>
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< Fraction 6 / 5>
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>>> with Expression.tmp_render(txt):
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>>> with Expression.tmp_render(txt):
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... for i in exp.simplify():
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... for i in exp.simplify().explain():
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... print(i)
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... print(i)
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2 * 3 / 5
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2 * 3 / 5
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6 / 5
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6 / 5
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>>> for i in exp.simplify():
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>>> for i in exp.simplify().explain():
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... print(i)
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... print(i)
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\\frac{ 2 \\times 3 }{ 5 }
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\\frac{ 2 \\times 3 }{ 5 }
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\\frac{ 6 }{ 5 }
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\\frac{ 6 }{ 5 }
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@ -68,6 +67,11 @@ class Expression(object):
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Expression.set_render(self.old_render)
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Expression.set_render(self.old_render)
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return TmpRenderEnv()
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return TmpRenderEnv()
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class Expression(Explicable, Renderable):
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"""A calculus expression. Today it can andle only expression with numbers later it will be able to manipulate unknown"""
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@classmethod
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@classmethod
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def random(self, form="", conditions=[], val_min = -10, val_max=10):
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def random(self, form="", conditions=[], val_min = -10, val_max=10):
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"""Create a random expression from form and with conditions
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"""Create a random expression from form and with conditions
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"""
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"""
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expression = object.__new__(cls)
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expression = object.__new__(cls)
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if type(exp) == str:
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if type(exp) == str:
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#self._exp = exp
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expression.postfix_tokens = str2tokens(exp)
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expression.postfix_tokens = str2tokens(exp) # les tokens seront alors stockés dans self.tokens temporairement
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elif type(exp) == list:
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elif type(exp) == list:
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expression.postfix_tokens = flatten_list([tok.postfix_tokens if Expression.isExpression(tok) else tok for tok in exp])
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expression.postfix_tokens = flatten_list([tok.postfix_tokens if Expression.isExpression(tok) else tok for tok in exp])
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else:
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else:
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@ -98,25 +101,24 @@ class Expression(object):
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if len(expression.postfix_tokens) == 1:
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if len(expression.postfix_tokens) == 1:
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token = expression.postfix_tokens[0]
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token = expression.postfix_tokens[0]
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if hasattr(token, 'simplify'):
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if hasattr(token, 'simplify') and hasattr(token, 'explain'):
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return expression.postfix_tokens[0]
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return expression.postfix_tokens[0]
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elif type(token) == int:
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elif type(token) == int:
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# On crée un faux int en ajoutant la méthode simplify et simplified et la caractérisique isNumber
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# On crée un faux int en ajoutant la méthode simplify et simplified et la caractérisique isNumber
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simplify = lambda x:[x]
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simplify = lambda x:x
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simplified = lambda x:x
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is_number = True
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is_number = True
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methods_attr = {'simplify':simplify, 'simplified':simplified, 'isNumber': is_number}
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methods_attr = {'simplify':simplify, 'isNumber': is_number, 'postfix_tokens': [token]}
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fake_token = type('fake_int', (int,), methods_attr)(token)
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fake_token = type('fake_int', (int,Explicable, Renderable), methods_attr)(token)
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return fake_token
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return fake_token
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elif type(token) == str:
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elif type(token) == str:
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# TODO: Pourquoi ne pas créer directement un polynom ici? |jeu. févr. 26 18:59:24 CET 2015
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# On crée un faux str en ajoutant la méthode simplify et simplified et la caractérisique isNumber
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# On crée un faux str en ajoutant la méthode simplify et simplified et la caractérisique isNumber
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simplify = lambda x:[x]
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simplify = lambda x:[x]
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simplified = lambda x:x
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is_polynom = True
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is_polynom = True
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methods_attr = {'simplify':simplify, 'simplified':simplified, '_isPolynom': is_polynom}
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methods_attr = {'simplify':simplify, '_isPolynom': is_polynom, 'postfix_tokens': [token]}
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fake_token = type('fake_str', (str,), methods_attr)(token)
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fake_token = type('fake_str', (str,Explicable, Renderable), methods_attr)(token)
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return fake_token
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return fake_token
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else:
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else:
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@ -129,74 +131,98 @@ class Expression(object):
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def __str__(self):
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def __str__(self):
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"""
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"""
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Overload str
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Overload str
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If you want to changer render use Expression.set_render(...)
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If you want to changer render use Expression.set_render(...) or use tmp_render context manager.
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"""
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"""
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return self.STR_RENDER(self.postfix_tokens)
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return self.STR_RENDER(self.postfix_tokens)
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def __repr__(self):
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def __repr__(self):
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return "< Expression " + str(self.postfix_tokens) + ">"
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return " ".join(["<", self.__class__ , str(self.postfix_tokens), ">"])
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def render(self, render = lambda x:str(x)):
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#def __str__(self):
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""" Same as __str__ but accept render as argument
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# """
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:param render: function which render the list of token (postfix form) to string
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# Overload str
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# If you want to changer render use Expression.set_render(...)
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# """
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# return self.STR_RENDER(self.postfix_tokens)
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"""
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#def __repr__(self):
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# TODO: I don't like the name of this method |ven. janv. 17 12:48:14 CET 2014
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# return "< Expression " + str(self.postfix_tokens) + ">"
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return render(self.postfix_tokens)
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#def render(self, render = lambda x:str(x)):
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# """ Same as __str__ but accept render as argument
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# :param render: function which render the list of token (postfix form) to string
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# """
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# # TODO: I don't like the name of this method |ven. janv. 17 12:48:14 CET 2014
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# return render(self.postfix_tokens)
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## ---------------------
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## ---------------------
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## Mechanism functions
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## Mechanism functions
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def simplify(self):
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def simplify(self):
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""" Generator which return steps for computing the expression """
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""" Compute entirely the expression and return the result with .steps attribute """
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if not self.can_go_further():
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yield self.STR_RENDER(self.postfix_tokens)
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else:
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self.compute_exp()
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self.compute_exp()
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old_s = ''
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for s in self.steps:
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new_s = self.STR_RENDER(s)
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# Astuce pour éviter d'avoir deux fois la même étape (par exemple pour la transfo d'une division en fraction)
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if new_s != old_s:
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old_s = new_s
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yield new_s
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if Expression.isExpression(self.child):
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self.simplified = self.child.simplify()
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for s in self.child.simplify():
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if old_s != s:
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old_s = s
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yield s
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else:
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for s in self.child.simplify():
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new_s = self.STR_RENDER([s])
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# Astuce pour éviter d'avoir deux fois la même étape (par exemple pour la transfo d'une division en fraction)
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if new_s != old_s:
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old_s = new_s
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yield new_s
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if old_s != self.STR_RENDER([self.child]):
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yield self.STR_RENDER([self.child])
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def simplified(self):
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""" Get the simplified version of the expression """
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self.compute_exp()
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try:
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try:
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return self.child.simplified()
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self.simplified.steps = self.child.steps + self.simplified.steps
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except AttributeError:
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except AttributeError:
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return self.child
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pass
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def can_go_further(self):
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return self.simplified
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"""Check whether it's a last step or not. If not create self.child the next expression.
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:returns: 1 if it's not the last step, 0 otherwise
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"""
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# TODO: À changer |jeu. févr. 26 17:18:49 CET 2015
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if len(self.postfix_tokens) == 1:
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# if not self.can_go_further():
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return 0
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# yield self.STR_RENDER(self.postfix_tokens)
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else:
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# else:
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return 1
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# self.compute_exp()
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# old_s = ''
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# for s in self.steps:
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# new_s = self.STR_RENDER(s)
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# # Astuce pour éviter d'avoir deux fois la même étape (par exemple pour la transfo d'une division en fraction)
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# if new_s != old_s:
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# old_s = new_s
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# yield new_s
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# if Expression.isExpression(self.child):
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# for s in self.child.simplify():
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# if old_s != s:
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# old_s = s
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# yield s
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# else:
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# for s in self.child.simplify():
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# new_s = self.STR_RENDER([s])
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# # Astuce pour éviter d'avoir deux fois la même étape (par exemple pour la transfo d'une division en fraction)
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# if new_s != old_s:
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# old_s = new_s
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# yield new_s
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# if old_s != self.STR_RENDER([self.child]):
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# yield self.STR_RENDER([self.child])
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#def simplified(self):
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# """ Get the simplified version of the expression """
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# self.compute_exp()
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# try:
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# return self.child.simplified()
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# except AttributeError:
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# return self.child
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# TODO: Normalement ne devrait plus être necessaire. Il faudra par contre s'assurer qu'il soit impossible de créer des Expressions avec une seul élément |jeu. févr. 26 17:26:28 CET 2015
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# def can_go_further(self):
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# """Check whether it's a last step or not. If not create self.child the next expression.
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# :returns: 1 if it's not the last step, 0 otherwise
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# """
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# if len(self.postfix_tokens) == 1:
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# return 0
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# else:
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# return 1
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def compute_exp(self):
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def compute_exp(self):
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""" Create self.child with self.steps to go up to it """
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""" Create self.child with and stock steps in it """
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self.steps = [self.postfix_tokens]
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child_steps = [self.postfix_tokens]
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tokenList = self.postfix_tokens.copy()
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tokenList = self.postfix_tokens.copy()
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tmpTokenList = []
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tmpTokenList = []
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@ -256,9 +282,10 @@ class Expression(object):
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steps = expand_list(tmpTokenList)
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steps = expand_list(tmpTokenList)
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if len(steps[:-1]) > 0:
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if len(steps[:-1]) > 0:
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self.steps += [flatten_list(s) for s in steps[:-1]]
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child_steps += [flatten_list(s) for s in steps[:-1]]
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self.child = Expression(steps[-1])
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self.child = Expression(steps[-1])
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self.child.steps = child_steps
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@classmethod
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@classmethod
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def isExpression(self, other):
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def isExpression(self, other):
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@ -329,9 +356,10 @@ class Expression(object):
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def test(exp):
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def test(exp):
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a = Expression(exp)
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a = Expression(exp)
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print(a)
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b = a.simplify()
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for i in a.simplify():
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print(type(i))
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for i in b.explain():
|
||||||
|
#print(type(i))
|
||||||
print(i)
|
print(i)
|
||||||
|
|
||||||
#print(type(a.simplified()), ":", a.simplified())
|
#print(type(a.simplified()), ":", a.simplified())
|
||||||
@ -366,32 +394,32 @@ if __name__ == '__main__':
|
|||||||
#f = -e
|
#f = -e
|
||||||
#print(f)
|
#print(f)
|
||||||
|
|
||||||
#exp = "2 * 3 * 3 * 5"
|
exp = "2 * 3 * 3 * 5"
|
||||||
#test(exp)
|
test(exp)
|
||||||
|
|
||||||
#exp = "2 * 3 + 3 * 5"
|
exp = "2 * 3 + 3 * 5"
|
||||||
#test(exp)
|
test(exp)
|
||||||
|
|
||||||
#exp = "2 * ( 3 + 4 ) + 3 * 5"
|
exp = "2 * ( 3 + 4 ) + 3 * 5"
|
||||||
#test(exp)
|
test(exp)
|
||||||
|
|
||||||
#exp = "2 * ( 3 + 4 ) + ( 3 - 4 ) * 5"
|
exp = "2 * ( 3 + 4 ) + ( 3 - 4 ) * 5"
|
||||||
#test(exp)
|
test(exp)
|
||||||
#
|
|
||||||
#exp = "2 * ( 2 - ( 3 + 4 ) ) + ( 3 - 4 ) * 5"
|
|
||||||
#test(exp)
|
|
||||||
#
|
|
||||||
#exp = "2 * ( 2 - ( 3 + 4 ) ) + 5 * ( 3 - 4 )"
|
|
||||||
#test(exp)
|
|
||||||
#
|
|
||||||
#exp = "2 + 5 * ( 3 - 4 )"
|
|
||||||
#test(exp)
|
|
||||||
|
|
||||||
#exp = "( 2 + 5 ) * ( 3 - 4 )^4"
|
exp = "2 * ( 2 - ( 3 + 4 ) ) + ( 3 - 4 ) * 5"
|
||||||
#test(exp)
|
test(exp)
|
||||||
|
|
||||||
#exp = "( 2 + 5 ) * ( 3 * 4 )"
|
exp = "2 * ( 2 - ( 3 + 4 ) ) + 5 * ( 3 - 4 )"
|
||||||
#test(exp)
|
test(exp)
|
||||||
|
|
||||||
|
exp = "2 + 5 * ( 3 - 4 )"
|
||||||
|
test(exp)
|
||||||
|
|
||||||
|
exp = "( 2 + 5 ) * ( 3 - 4 )^4"
|
||||||
|
test(exp)
|
||||||
|
|
||||||
|
exp = "( 2 + 5 ) * ( 3 * 4 )"
|
||||||
|
test(exp)
|
||||||
|
|
||||||
#exp = "( 2 + 5 - 1 ) / ( 3 * 4 )"
|
#exp = "( 2 + 5 - 1 ) / ( 3 * 4 )"
|
||||||
#test(exp)
|
#test(exp)
|
||||||
@ -426,8 +454,8 @@ if __name__ == '__main__':
|
|||||||
#for i in exp.simplify():
|
#for i in exp.simplify():
|
||||||
# print(i)
|
# print(i)
|
||||||
|
|
||||||
import doctest
|
#import doctest
|
||||||
doctest.testmod()
|
#doctest.testmod()
|
||||||
|
|
||||||
# -----------------------------
|
# -----------------------------
|
||||||
# Reglages pour 'vim'
|
# Reglages pour 'vim'
|
||||||
|
Loading…
Reference in New Issue
Block a user