346 lines
8.4 KiB
Python
346 lines
8.4 KiB
Python
#! /usr/bin/env python
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# -*- coding: utf-8 -*-
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# vim:fenc=utf-8
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#
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# Copyright © 2017 lafrite <lafrite@Poivre>
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#
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# Distributed under terms of the MIT license.
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"""
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Tokens: practical envelop of math object
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"""
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from ..renders import render
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from ...core.MO.atoms import moify
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class Token(object):
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""" Token: practical envelop of an math object """
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def __init__(self, mo, name="", ancestor=None):
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self._mo = mo
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self.name = name
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self._mathtype = None
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self._ancestor = ancestor
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def explain(self):
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""" Yield every calculus step which have lead to self
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:example:
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>>> from mapytex.calculus.API import Expression
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>>> e = Expression.from_str("2+3*4")
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>>> f = e.simplify()
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>>> f
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<Integer 14>
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>>> for s in f.explain():
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... print(s)
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2 + 3 * 4
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2 + 12
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14
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"""
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try:
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yield from self._ancestor.explain()
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yield self
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except AttributeError:
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yield self
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def __repr__(self):
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try:
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return f"<{self.__class__.__name__} {render(self._mo._tree, 'txt')}>"
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except AttributeError:
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return f"<{self.__class__.__name__} {render(self._mo, 'txt')}>"
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def __str__(self):
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try:
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return render(self._mo._tree)
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except AttributeError:
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return render(self._mo)
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@property
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def raw(self):
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""" Get python's raw forme of the token """
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return self._mo.content
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def _operate(self, other, operation):
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""" Make a operation between 2 Tokens """
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from ..expression import Expression
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from ...core import Tree
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from . import factory
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if not isinstance(other, Token):
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try:
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_other = factory(other)
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except AttributeError:
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_other = factory(Expression(moify(other)))
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else:
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_other = other
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if operation == '-':
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tree = Tree("+", self._mo, Tree("-", None, _other._mo))
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else:
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tree = Tree(operation, self._mo, _other._mo)
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return Expression(tree).simplify()
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def __add__(self, other):
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""" Adding 2 Tokens or a Token and a Expression
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:example:
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>>> from .number import Integer
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>>> a = Integer(3)
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>>> b = Integer(7)
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>>> c = a + b
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>>> c
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<Integer 10>
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>>> for i in c.explain():
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... print(i)
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3 + 7
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10
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>>> a = Integer(3)
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>>> c = a + 7
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>>> c
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<Integer 10>
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>>> for i in c.explain():
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... print(i)
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3 + 7
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10
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>>> a = Integer(3)
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>>> c = a + "x"
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>>> c
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<Linear x + 3>
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>>> from .number import Fraction
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>>> a = Fraction("4/3")
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>>> b = Integer(7)
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>>> c = a + b
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>>> c
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<Fraction 25 / 3>
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>>> for i in c.explain():
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... print(i)
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4 / 3 + 7
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4 / 3 + 7 / 1
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4 / 3 + (7 * 3) / (1 * 3)
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4 / 3 + 21 / 3
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(4 + 21) / 3
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25 / 3
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"""
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return self._operate(other, "+")
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def __sub__(self, other):
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""" Subing 2 Tokens or a Token and a Expression
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:example:
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>>> from .number import Integer
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>>> a = Integer(3)
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>>> b = Integer(7)
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>>> c = a - b
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>>> c
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<Integer - 4>
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>>> for i in c.explain():
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... print(i)
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3 - 7
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3 - 7
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- 4
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>>> a = Integer(3)
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>>> c = a - 7
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>>> c
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<Integer - 4>
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>>> a = Integer(3)
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>>> c = a - "x"
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>>> c
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<Linear - x + 3>
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"""
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return self._operate(other, "-")
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def __mul__(self, other):
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""" Multiply 2 Tokens or a Token and a Expression
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:example:
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>>> from .number import Integer
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>>> a = Integer(3)
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>>> b = Integer(7)
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>>> c = a * b
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>>> c
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<Integer 21>
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>>> for i in c.explain():
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... print(i)
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3 * 7
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21
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>>> c = a * 7
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>>> c
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<Integer 21>
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>>> c = a * "x"
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>>> c
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<Linear 3x>
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>>> from .number import Fraction
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>>> a = Fraction("4/3")
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>>> b = Integer(7)
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>>> c = a * b
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>>> c
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<Fraction 28 / 3>
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>>> for i in c.explain():
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... print(i)
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4 / 3 * 7
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(4 * 7) / 3
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28 / 3
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"""
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return self._operate(other, "*")
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def __truediv__(self, other):
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""" Divising 2 Tokens or a Token and a Expression
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:example:
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>>> from .number import Integer
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>>> a = Integer(3)
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>>> b = Integer(7)
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>>> c = a / b
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>>> c
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<Fraction 3 / 7>
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>>> for i in c.explain():
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... print(i)
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3 / 7
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>>> c = a / 7
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>>> c
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<Fraction 3 / 7>
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>>> from .number import Fraction
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>>> a = Fraction("4/3")
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>>> b = Integer(7)
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>>> c = a / b
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>>> c
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<Fraction 4 / 21>
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>>> for i in c.explain():
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... print(i)
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4 / 3 / 7
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4 / 3 * 1 / 7
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(4 * 1) / (3 * 7)
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4 / 21
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"""
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return self._operate(other, "/")
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def __pow__(self, other):
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""" Token powered by an other
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:example:
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>>> from .number import Integer
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>>> a = Integer(3)
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>>> b = Integer(7)
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>>> c = a ** b
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>>> c
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<Integer 2187>
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>>> c = a ** 7
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>>> c
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<Integer 2187>
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>>> from .number import Decimal
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>>> a = Decimal('2.3')
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>>> c = a ** 2
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>>> c
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<Decimal 5.29>
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"""
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return self._operate(other, "^")
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def _roperate(self, other, operation):
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""" Make a operation between 2 Tokens """
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from ..expression import Expression
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from ...core import Tree
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from . import factory
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if not isinstance(other, Token):
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try:
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_other = factory(other)
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except AttributeError:
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_other = factory(Expression(moify(other)))
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else:
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_other = other
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if operation == '-':
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tree = Tree("+", _other._mo, Tree("-", None, self._mo))
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else:
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tree = Tree(operation, _other._mo, self._mo)
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return Expression(tree).simplify()
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def __radd__(self, other):
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""" Adding 2 Tokens or a Token and a Expression
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:example:
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>>> from .number import Integer
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>>> a = Integer(3)
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>>> c = 7 + a
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>>> c
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<Integer 10>
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>>> c = "x" + a
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>>> c
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<Linear x + 3>
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"""
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return self._roperate(other, "+")
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def __rsub__(self, other):
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""" Subing 2 Tokens or a Token and a Expression
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:example:
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>>> from .number import Integer
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>>> a = Integer(3)
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>>> c = 7 - a
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>>> c
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<Integer 4>
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>>> a = Integer(3)
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>>> c = "x" - a
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>>> c
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<Linear x - 3>
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"""
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return self._roperate(other, "-")
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def __rmul__(self, other):
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""" Multiply 2 Tokens or a Token and a Expression
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:example:
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>>> from .number import Integer
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>>> a = Integer(3)
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>>> c = 7 * a
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>>> c
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<Integer 21>
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>>> c = "x" * a
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>>> c
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<Linear 3x>
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"""
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return self._roperate(other, "*")
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def __rtruediv__(self, other):
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""" Divising 2 Tokens or a Token and a Expression
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:example:
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>>> from .number import Integer
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>>> a = Integer(3)
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>>> c = 7 / a
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>>> c
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<Fraction 7 / 3>
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"""
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return self._roperate(other, "/")
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def _get_soul(self, other=None):
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""" Get the builtin soul of self or other """
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if isinstance(other, Token):
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return other._mo._value
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elif not other is None:
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return other
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return self._mo._value
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def __eq__(self, other):
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return self._get_soul() == self._get_soul(other)
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def __gt__(self, other):
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return self._get_soul() > self._get_soul(other)
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def __lt__(self, other):
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return self._get_soul() < self._get_soul(other)
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def __ge__(self, other):
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return self._get_soul() >= self._get_soul(other)
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def __le__(self, other):
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return self._get_soul() <= self._get_soul(other)
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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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