Mapytex/mapytex/calculus/API/tokens/token.py

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#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
# Copyright © 2017 lafrite <lafrite@Poivre>
#
# Distributed under terms of the MIT license.
"""
Tokens: practical envelop of math object
"""
from ..renders import renders
class Token(object):
""" Token: practical envelop of an math object """
RENDER = 'txt'
def __init__(self, mo, name="", ancestor = None):
self._mo = mo
self.name = name
self._mathtype = None
self._ancestor = ancestor
@classmethod
def random(cls):
raise NotImplemented
def explain(self):
""" Yield every calculus step which have lead to self
:example:
>>> from mapytex.calculus.API import Expression
>>> e = Expression.from_str("2+3*4")
>>> f = e.simplify()
>>> f
<Integer 14>
>>> for s in f.explain():
... print(s)
2 + 3 * 4
2 + 12
14
"""
try:
yield from self._ancestor.explain()
yield self
except AttributeError:
yield self
def __repr__(self):
return f"<{self.__class__.__name__} {self.__txt__}>"
def __str__(self):
return renders[self.RENDER](self._mo)
@property
def __txt__(self):
return self._mo.__txt__
@property
def __tex__(self):
return self._mo.__tex__
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def _operate(self, other, operation):
""" Make a operation between 2 Tokens,
a Token and en Expression ora
a Token an a builtin type
"""
from ..expression import Expression
from ...core import Tree
from . import factory
if not isinstance(other, Token):
_other = factory(other)
else:
_other = other
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tree = Tree(operation, self._mo, _other._mo)
return Expression(tree).simplify()
def __add__(self, other):
""" Adding 2 Tokens or a Token and a Expression
:example:
>>> from .number import Integer
>>> a = Integer(3)
>>> b = Integer(7)
>>> c = a + b
>>> c
<Integer 10>
>>> for i in c.explain():
... print(i)
3 + 7
10
>>> from .number import Fraction
>>> a = Fraction("4/3")
>>> b = Integer(7)
>>> c = a + b
>>> c
<Fraction 25 / 3>
>>> for i in c.explain():
... print(i)
4 / 3 + 7
4 / 3 + 7 / 1
4 / 3 + (7 * 3) / (1 * 3)
4 / 3 + 21 / 3
(4 + 21) / 3
25 / 3
"""
return self._operate(other, "+")
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def __mul__(self, other):
""" Multiply 2 Tokens or a Token and a Expression
:example:
>>> from .number import Integer
>>> a = Integer(3)
>>> b = Integer(7)
>>> c = a * b
>>> c
<Integer 21>
>>> for i in c.explain():
... print(i)
3 * 7
21
>>> from .number import Fraction
>>> a = Fraction("4/3")
>>> b = Integer(7)
>>> c = a * b
>>> c
<Fraction 28 / 3>
>>> for i in c.explain():
... print(i)
4 / 3 * 7
(4 * 7) / 3
28 / 3
"""
return self._operate(other, "*")
def __truediv__(self, other):
""" Divising 2 Tokens or a Token and a Expression
:example:
>>> from .number import Integer
>>> a = Integer(3)
>>> b = Integer(7)
>>> c = a / b
>>> c
<Fraction 3 / 7>
>>> for i in c.explain():
... print(i)
3 / 7
>>> from .number import Fraction
>>> a = Fraction("4/3")
>>> b = Integer(7)
>>> c = a / b
>>> c
<Fraction 4 / 21>
>>> for i in c.explain():
... print(i)
4 / 3 / 7
4 / 3 * 1 / 7
(4 * 1) / (3 * 7)
4 / 21
"""
return self._operate(other, "/")
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