Mapytex/pymath/calculus/explicable.py

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#!/usr/bin/env python
# encoding: utf-8
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from .renderable import Renderable
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from .step import Step
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from decimal import Decimal
from .generic import transpose_fill
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class Explicable(Renderable):
""" 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)
Child class will have the following method
* explain: Generator which return steps which leed to himself
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"""
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def __init__(self, pstf_tokens):
super(Explicable, self).__init__(pstf_tokens)
self.steps = []
self.explained = 0
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def explain(self):
r""" Generate and render steps which leed to itself
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After beening explained, the Explicable become amnesiac. It will return itself in a list.
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See 'history_generator' to explain it once again.
>>> action = Explicable(['42'])
>>> from .expression import Expression
>>> 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
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>>> # Now action is amnesiac
>>> for i in action.explain():
... print(i)
42
>>> action = Explicable(['42'])
>>> for i in action.explain():
... print(i)
42
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"""
if self.explained:
return [self.STR_RENDER(self.postfix_tokens)]
else:
self.explained = 1
return self.history_generator()
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def history_generator(self):
r""" Generator for rendered steps which leed to itself
This is the called method in explain which create the generator.
It create a new generator at each call.
>>> action = Explicable(['42'])
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>>> from .expression import Expression
>>> for i in action.history_generator():
... print(i)
42
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>>> action.this_append_before([Expression('2+10*4'), Expression('2+40')])
>>> for i in action.history_generator():
... print(i)
2 + 10 \times 4
2 + 40
42
>>> for i in action.history_generator():
... print(i)
2 + 10 \times 4
2 + 40
42
"""
old_s = ''
try:
for s in self.steps:
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try:
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new_s = self.STR_RENDER(s.postfix_tokens)
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except AttributeError:
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new_s = self.STR_RENDER(s)
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if not self.is_same_step(new_s, old_s):
old_s = new_s
yield new_s
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except AttributeError:
pass
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# if noself:
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(['Actions'])
>>> 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
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def steal_history(self, arg1):
""" Steal the history of arg1 for itself
:param arg1: a potential Explicable
"""
try:
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with Step.tmp_render():
self.this_append_before(list(arg1.explain()))
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except AttributeError:
pass
@classmethod
def merge_history(cls, explicables):
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r""" Take a list of Explicable objects, explain where they are from and merge their history
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This method try to use 'explain' method from Explicable. This means that after using this method, those objects will become amnesiac.
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:param explicables: list
:returns: the list of steps
>>> from .expression import Expression
>>> action1 = Explicable(['42'])
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>>> action1.this_append_before([['2 + 4 * 10'], ['2 + 40']])
>>> action2 = Explicable(['24'])
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>>> action2.this_append_before([['12 * 2']])
>>> m_history = Explicable.merge_history([action1, action2])
>>> m_history
<generator object transpose_fill ...>
>>> for i in m_history:
... print(i)
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[< Step ['2 + 4 * 10']>, < Step ['12 * 2']>]
[< Step ['2 + 40']>, < Step ['24']>]
[< Step ['42']>, < Step ['24']>]
>>> # Now they are amnesiac
>>> for i in action1.explain():
... print(i)
42
>>> m_history = Explicable.merge_history([action1, action2])
>>> for i in m_history:
... print(i)
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[< Step ['42']>, < Step ['24']>]
>>> action1 = Explicable(['42'])
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>>> action1.this_append_before([['2+10*4'], ['2+40']])
>>> m_history = Explicable.merge_history([action1, 12])
>>> m_history
<generator object transpose_fill ...>
>>> for i in m_history:
... print(i)
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[< Step ['2+10*4']>, < Step [12]>]
[< Step ['2+40']>, < Step [12]>]
[< Step ['42']>, < Step [12]>]
>>> action1 = Explicable(['42'])
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>>> action1.this_append_before([['2+10*4'], ['2+40']])
>>> action2 = Explicable(['24'])
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>>> action2.this_append_before([['2*12']])
>>> action3 = Explicable(['0'])
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>>> action3.this_append_before([['3-3']])
>>> m_history = Explicable.merge_history([action1, action2, action3])
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>>> for i in m_history:
... print(i)
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[< Step ['2+10*4']>, < Step ['2*12']>, < Step ['3-3']>]
[< Step ['2+40']>, < Step ['24']>, < Step ['0']>]
[< Step ['42']>, < Step ['24']>, < Step ['0']>]
>>> m_history = Explicable.merge_history([1,2,3])
>>> for i in m_history:
... print(i)
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[< Step [1]>, < Step [2]>, < Step [3]>]
"""
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from .expression import Expression
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steps = []
for expl in explicables:
try:
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with Step.tmp_render():
steps.append(list(expl.explain()))
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except AttributeError:
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steps.append([Step([expl])])
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return transpose_fill(steps)
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class Explicable_int(int, Explicable):
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""" An Explicable_int is an int which can be explain """
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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)
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class Explicable_Decimal(Decimal, Explicable):
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""" An Explicable_Decimal is an decimal which can be explain """
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isNumber = True
def __init__(self, val):
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super(Explicable_Decimal, self).__init__(val)
self._val = val
self.postfix_tokens = [self]
self.steps = []
def simplify(self):
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return Explicable_Decimal(self._val)
def __txt__(self):
return str(self._val)
def __tex__(self):
return str(self._val)
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# -----------------------------
# Reglages pour 'vim'
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del