Mapytex/pymath/calculus/explicable.py
2016-03-22 08:39:20 +03:00

175 lines
4.8 KiB
Python

#!/usr/bin/env python
# encoding: utf-8
from .render import Renderable
from decimal import Decimal
from .generic import transpose_fill
class Explicable(Renderable):
""" An Explicable object is an object which can be explicable!
It's a parent class of a more classical Expression, Fraction and Polynom (and later square root)
Child class will have the following method
* explain: Generator which return steps which leed to himself
"""
def __init__(self, *args, **kwargs):
super(Explicable, self).__init__()
self.steps = []
def explain(self, noself=True):
r""" Generate and render steps which leed to itself
:param noself: does explain return self
>>> action = Explicable()
>>> from .expression import Expression
>>> action.postfix_tokens = Expression('42')
>>> action.this_append_before([Expression('2+10*4'), Expression('2+40')])
>>> for i in action.explain():
... print(i)
2 + 10 \times 4
2 + 40
42
"""
old_s = ''
# les étapes pour l'atteindre
try:
for s in self.steps:
try:
new_s = self.STR_RENDER(s.postfix_tokens)
except AttributeError:
new_s = self.STR_RENDER(s)
if not self.is_same_step(new_s, old_s):
old_s = new_s
yield new_s
except AttributeError:
pass
if noself:
# Lui même
new_s = self.STR_RENDER(self.postfix_tokens)
if not self.is_same_step(new_s, old_s):
yield new_s
def is_same_step(self, new, old):
"""Return whether the new step is the same than old step
"""
try:
if new.replace(" ", "") == old.replace(" ", ""):
return True
else:
return False
except AttributeError:
if new == old:
return True
else:
return False
def this_append_before(self, steps):
""" Add steps at the beginning of self.steps
:param steps: list of steps that append before
>>> e = Explicable()
>>> s = ['eat', 'sleep']
>>> e.this_append_before(s)
>>> print(e.steps)
['eat', 'sleep']
>>> s0 = ['cook']
>>> e.this_append_before(s0)
>>> print(e.steps)
['cook', 'eat', 'sleep']
"""
self.steps = steps + self.steps
@staticmethod
def merge_history(expl1, expl2, operation):
""" Take two Explicable objects, explain where they are from and merge their history
/!\ Using this method make the two objects amnesiac
:param expl1: fist explicable
:param expl2: second explicable
:param operation: the operation that link them
:returns: the list of steps
>>> from .expression import Expression
>>> from .operator import op
>>> action1 = Explicable()
>>> action1.postfix_tokens = Expression('42')
>>> action1.this_append_before([Expression('2+10*4'), Expression('2+40')])
>>> action2 = Explicable()
>>> action2.postfix_tokens = Expression('24')
>>> action2.this_append_before([Expression('2*12')])
>>> m_history = Explicable().merge_history(action1, action2, op.add)
>>> m_history
<generator object transpose_fill ...>
>>> for i in m_history:
... print(i)
['2 + 10 \\times 4', '2 \\times 12', +]
['2 + 40', '24', +]
['42', '24', +]
"""
steps1 = list(expl1.explain())
steps2 = list(expl2.explain())
return transpose_fill([steps1, steps2, [operation]])
class Explicable_int(int, Explicable):
""" An Explicable_int is an int which can be explain """
isNumber = True
def __init__(self, val):
super(Explicable_int, self).__init__(val)
self._val = val
self.postfix_tokens = [self]
self.steps = []
def simplify(self):
return Explicable_int(self._val)
def __txt__(self):
return str(self._val)
def __tex__(self):
return str(self._val)
class Explicable_Decimal(Decimal, Explicable):
""" An Explicable_Decimal is an decimal which can be explain """
isNumber = True
def __init__(self, val):
super(Explicable_Decimal, self).__init__(val)
self._val = val
self.postfix_tokens = [self]
self.steps = []
def simplify(self):
return Explicable_Decimal(self._val)
def __txt__(self):
return str(self._val)
def __tex__(self):
return str(self._val)
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