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
from ...core.MO.atoms import moify
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class Token(object):
""" Token: practical envelop of an math object """
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RENDER = "txt"
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def __init__(self, mo, name="", ancestor=None):
self._mo = mo
self.name = name
self._mathtype = None
self._ancestor = ancestor
@classmethod
def random(
cls,
family="integer",
**kwds
):
raise NotImplemented
@classmethod
def set_render(cls, render):
""" Define default render function
:param render: render name (txt or tex)
"""
cls.RENDER = render
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):
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if self.RENDER == "tex":
return self.__tex__
elif self.RENDER == "txt":
return self.__txt__
else:
raise ValueError(f"Unknow render {self.RENDER}")
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# 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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@property
def raw(self):
""" 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):
""" Make a operation between 2 Tokens """
from ..expression import Expression
from ...core import Tree
from . import factory
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if not isinstance(other, Token):
try:
_other = factory(other)
except AttributeError:
_other = factory(Expression(moify(other)))
else:
_other = other
if operation == '-':
tree = Tree("+", self._mo, Tree("-", None, _other._mo))
else:
tree = Tree(operation, self._mo, _other._mo)
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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
>>> a = Integer(3)
>>> c = a + 7
>>> c
<Integer 10>
>>> for i in c.explain():
... print(i)
3 + 7
10
>>> a = Integer(3)
>>> c = a + "x"
>>> c
<Linear x + 3>
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>>> 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, "+")
def __sub__(self, other):
""" Subing 2 Tokens or a Token and a Expression
:example:
>>> from .number import Integer
>>> a = Integer(3)
>>> b = Integer(7)
>>> c = a - b
>>> c
<Integer - 4>
>>> for i in c.explain():
... print(i)
3 - 7
3 - 7
- 4
>>> a = Integer(3)
>>> c = a - 7
>>> c
<Integer - 4>
>>> a = Integer(3)
>>> c = a - "x"
>>> c
<Linear 3 - x>
"""
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
>>> c = a * 7
>>> c
<Integer 21>
>>> c = a * "x"
>>> c
<Linear 3x>
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>>> 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
>>> c = a / 7
>>> c
<Fraction 3 / 7>
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>>> 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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def __pow__(self, other):
""" Token powered by an other
:example:
>>> from .number import Integer
>>> a = Integer(3)
>>> b = Integer(7)
>>> c = a ** b
>>> c
<Integer 2187>
>>> c = a ** 7
>>> c
<Integer 2187>
>>> from .number import Decimal
>>> a = Decimal('2.3')
>>> c = a ** 2
>>> c
<Decimal 5.29>
"""
return self._operate(other, "^")
def _roperate(self, other, operation):
""" Make a operation between 2 Tokens """
from ..expression import Expression
from ...core import Tree
from . import factory
if not isinstance(other, Token):
try:
_other = factory(other)
except AttributeError:
_other = factory(Expression(moify(other)))
else:
_other = other
if operation == '-':
tree = Tree("+", _other._mo, Tree("-", None, self._mo))
else:
tree = Tree(operation, _other._mo, self._mo)
return Expression(tree).simplify()
def __radd__(self, other):
""" Adding 2 Tokens or a Token and a Expression
:example:
>>> from .number import Integer
>>> a = Integer(3)
>>> c = 7 + a
>>> c
<Integer 10>
>>> c = "x" + a
>>> c
<Linear x + 3>
"""
return self._roperate(other, "+")
def __rsub__(self, other):
""" Subing 2 Tokens or a Token and a Expression
:example:
>>> from .number import Integer
>>> a = Integer(3)
>>> c = 7 - a
>>> c
<Integer 4>
>>> a = Integer(3)
>>> c = "x" - a
>>> c
<Linear x - 3>
"""
return self._roperate(other, "-")
def __rmul__(self, other):
""" Multiply 2 Tokens or a Token and a Expression
:example:
>>> from .number import Integer
>>> a = Integer(3)
>>> c = 7 * a
>>> c
<Integer 21>
>>> c = "x" * a
>>> c
<Linear 3x>
"""
return self._roperate(other, "*")
def __rtruediv__(self, other):
""" Divising 2 Tokens or a Token and a Expression
:example:
>>> from .number import Integer
>>> a = Integer(3)
>>> c = 7 / a
>>> c
<Fraction 7 / 3>
"""
return self._roperate(other, "/")
def _get_soul(self, other=None):
""" Get the builtin soul of self or other """
if isinstance(other, Token):
return other._mo._value
elif not other is None:
return other
return self._mo._value
def __eq__(self, other):
return self._get_soul() == self._get_soul(other)
def __gt__(self, other):
return self._get_soul() > self._get_soul(other)
def __lt__(self, other):
return self._get_soul() < self._get_soul(other)
def __ge__(self, other):
return self._get_soul() >= self._get_soul(other)
def __le__(self, other):
return self._get_soul() <= self._get_soul(other)
# -----------------------------
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