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10 changed files with 127 additions and 121 deletions

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@ -1,7 +1,7 @@
#!/usr/bin/env python #!/usr/bin/env python
# encoding: utf-8 # encoding: utf-8
from .calculus import Expression, Integer, Decimal, random_list, render, Polynomial from .calculus import Expression, Integer, Decimal, random_list
# Expression.set_render('tex') # Expression.set_render('tex')

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@ -108,35 +108,66 @@ x^7
(6 + 6) * x + 4x^2 + 9 (6 + 6) * x + 4x^2 + 9
4x^2 + 12x + 9 4x^2 + 12x + 9
>>> e = Expression.from_str("(2x-3)(-x+2)") >>> e = Expression.from_str("(2x+3)(-x+1)")
>>> e_simplified = e.simplify() >>> e_simplified = e.simplify()
>>> e_simplified >>> e_simplified
<Quadratic - 2x^2 + 7x - 6> <Quadratic - 2x^2 - x + 3>
>>> for s in e_simplified.explain(): >>> for s in e_simplified.explain():
... print(s) ... print(s)
(2x - 3)(- x + 2)
(2x - 3)(- x + 2)
2x(- x) + 2x * 2 - 3(- x) - 3 * 2
2(- 1) * x^(1 + 1) + 2 * 2 * x - 3(- 1) * x - 6
4x + 3x - 2x^2 - 6
(4 + 3) * x - 2x^2 - 6
- 2x^2 + 7x - 6
""" """
from .expression import Expression from .expression import Expression
from .tokens import Token from .tokens import Token
from .tokens.polynomial import Polynomial from .tokens.number import Integer, Decimal
from .tokens.number import Integer, Decimal, Fraction
from .renders import render
def set_render(render):
"""
:example:
>>> e = Expression.from_str("2+3*4")
>>> print(e)
2 + 3 * 4
>>> e = Expression.from_str("2+3/4")
>>> print(e)
2 + 3 / 4
>>> es = e.simplify()
>>> print(es)
11 / 4
>>> set_render('tex')
>>> Expression.RENDER
'tex'
>>> Token.RENDER
'tex'
>>> e = Expression.from_str("2+3*4")
>>> print(e)
2 + 3 \\times 4
>>> e = Expression.from_str("2+3/4")
>>> print(e)
2 + \\dfrac{3}{4}
>>> es = e.simplify()
>>> print(es)
\\dfrac{11}{4}
>>> set_render('txt')
"""
Expression.set_render(render)
Token.set_render(render)
if __name__ == "__main__": if __name__ == "__main__":
e = Expression.from_str("(2x-3)(-x+2)") e = Expression.from_str("1+2/3/4/5")
e_simplified = e.simplify() et = e._typing()
e_simplified print("typing")
for s in e_simplified.explain(): print(e._tree)
print(s._tree.map_on_leaf(lambda x: type(x))) e = et._order()
print(s) print("order")
print(e._tree)
e = e._optimize()
print("then optimize")
print(e._tree)
e = et._optimize()
print("optimize without order")
print(e._tree)
# ----------------------------- # -----------------------------
# Reglages pour 'vim' # Reglages pour 'vim'

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@ -21,7 +21,7 @@ from ..core.random import (
) )
from ..core.MO import moify from ..core.MO import moify
from .tokens import factory from .tokens import factory
from .renders import render from .renders import renders
class Expression(object): class Expression(object):
@ -42,6 +42,7 @@ class Expression(object):
14 14
""" """
RENDER = "txt"
def __init__(self, tree, ancestor=None): def __init__(self, tree, ancestor=None):
""" """
@ -49,6 +50,15 @@ class Expression(object):
self._tree = tree self._tree = tree
self._ancestor = ancestor self._ancestor = ancestor
@classmethod
def set_render(cls, render):
""" Define default render function
:param render: render name (txt or tex)
"""
cls.RENDER = render
@classmethod @classmethod
def from_str(cls, string, typing=True): def from_str(cls, string, typing=True):
""" Initiate the expression from a string """ Initiate the expression from a string
@ -138,10 +148,10 @@ class Expression(object):
return cls(t) return cls(t)
def __str__(self): def __str__(self):
return render(self._tree) return renders[self.RENDER](self._tree)
def __repr__(self): def __repr__(self):
return f"<Exp: {render(self._tree, 'txt')}>" return f"<Exp: {renders['txt'](self._tree)}>"
def _order(self, exclude_nodes=["*", "/", "**"]): def _order(self, exclude_nodes=["*", "/", "**"]):
""" Order the expression base on types """ Order the expression base on types

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@ -12,55 +12,34 @@ Expression
""" """
from ..core import tree2txt, tree2tex from ..core import tree2txt, tree2tex
class Render(object):
""" Object which render Expression or token """
def __init__(self, default="txt"): def _txt(mo_tree):
self._default = default """ txt render for MOs or Trees"""
self._render = default try:
self.renders = {} return tree2txt(mo_tree)
except ValueError:
pass
def register_render(self, name, func, attribute): try:
""" register a render """ return mo_tree.__txt__
try: except AttributeError:
self.renders[name] return str(mo_tree)
except KeyError:
self.renders[name] = {"name": name, "func": func, "attribute": attribute}
else:
raise ValueError("This render name already exists")
@property
def render(self):
return self.renders[self._render]
def __call__(self, mo_tree, tmp_render=''):
if tmp_render:
r = self.renders[tmp_render]
else:
r = self.render
try:
return r["func"](mo_tree)
except ValueError:
pass
try:
return getattr(mo_tree, r["attribute"])
except AttributeError:
return str(mo_tree)
def set_render(self, render):
""" Define the render """
if render in self.renders.keys():
self._render = render
else:
raise ValueError("This render does not exists")
def _tex(mo_tree):
""" Tex render for MOs or Trees"""
try:
return tree2tex(mo_tree)
except ValueError:
pass
render = Render() try:
render.register_render("txt", tree2txt, "__txt__") return mo_tree.__tex__
render.register_render("tex", tree2tex, "__tex__") except AttributeError:
return str(mo_tree)
renders = {"txt": _txt, "tex": _tex}
# ----------------------------- # -----------------------------
# Reglages pour 'vim' # Reglages pour 'vim'

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@ -18,7 +18,7 @@ from ...core.MO import MO, MOnumber
from ...core.MO.fraction import MOFraction from ...core.MO.fraction import MOFraction
from random import random from random import random
__all__ = ["Integer", "Decimal", "Fraction"] __all__ = ["Integer", "Decimal"]
class Integer(Token): class Integer(Token):
@ -237,25 +237,11 @@ class Fraction(Token):
@property @property
def numerator(self): def numerator(self):
""" Get numerator of the fraction return self._mo.numerator
:example:
>>> a = Fraction("3/4")
>>> a.numerator
<Integer 3>
"""
return Integer(self._mo.numerator)
@property @property
def denominator(self): def denominator(self):
""" Get denominator of the fraction return self._mo.denominator
:example:
>>> a = Fraction("3/4")
>>> a.denominator
<Integer 4>
"""
return Integer(self._mo.denominator)
@property @property
def decimal(self): def decimal(self):

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@ -15,7 +15,6 @@ from .token import Token
from . import to_be_token from . import to_be_token
from ...core.MO import MO from ...core.MO import MO
from ...core.MO.atoms import moify from ...core.MO.atoms import moify
from ...core.MO.polynomial import MOpolynomial
__all__ = ["Polynomial", "Quadratic", "Linear"] __all__ = ["Polynomial", "Quadratic", "Linear"]
@ -45,21 +44,9 @@ class Polynomial(Token):
return cls(mo, name, ancestor) return cls(mo, name, ancestor)
@classmethod @classmethod
def from_coefficients(cls, coefficients, variable_name="x", name=""): def from_coefficients(cls, coefficients):
""" Initiate polynomial from list of coefficients """ Initiate polynomial from list of coefficients """
pass
:examples:
>>> P = Polynomial.from_coefficients([1, 2, 3])
>>> P
<Polynomial 3x^2 + 2x + 1>
>>> P = Polynomial.from_coefficients([1, 2, -3])
>>> P
<Polynomial - 3x^2 + 2x + 1>
>>> P = Polynomial.from_coefficients([1, 2, 3], "y")
>>> P
<Polynomial 3y^2 + 2y + 1>
"""
return cls(MOpolynomial(variable_name, coefficients), name)
@classmethod @classmethod
def random(cls): def random(cls):

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@ -10,7 +10,7 @@
Tokens: practical envelop of math object Tokens: practical envelop of math object
""" """
from ..renders import render from ..renders import renders
from ...core.MO.atoms import moify from ...core.MO.atoms import moify
@ -18,6 +18,8 @@ class Token(object):
""" Token: practical envelop of an math object """ """ Token: practical envelop of an math object """
RENDER = "txt"
def __init__(self, mo, name="", ancestor=None): def __init__(self, mo, name="", ancestor=None):
self._mo = mo self._mo = mo
self.name = name self.name = name
@ -32,6 +34,14 @@ class Token(object):
): ):
raise NotImplemented 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): def explain(self):
""" Yield every calculus step which have lead to self """ Yield every calculus step which have lead to self
@ -54,10 +64,10 @@ class Token(object):
yield self yield self
def __repr__(self): def __repr__(self):
return f"<{self.__class__.__name__} {render(self._mo, 'txt')}>" return f"<{self.__class__.__name__} {renders['txt'](self._mo)}>"
def __str__(self): def __str__(self):
return render(self._mo) return renders[self.RENDER](self._mo)
@property @property
def raw(self): def raw(self):

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@ -13,7 +13,7 @@ Make calculus as a student
Expression is the classe wich handle all calculus. It can randomly generate or import calculus, simplify them and explain them as a student would do. Expression is the classe wich handle all calculus. It can randomly generate or import calculus, simplify them and explain them as a student would do.
>>> from mapytex.calculus import Expression >>> from mapytex.calculus import Expression
>>> render.set_render("txt") >>> Expression.set_render("txt")
>>> e = Expression.from_str("2x + 6 - 3x") >>> e = Expression.from_str("2x + 6 - 3x")
>>> print(e) >>> print(e)
2x + 6 - 3x 2x + 6 - 3x
@ -30,7 +30,7 @@ Expression is the classe wich handle all calculus. It can randomly generate or i
""" """
from .API import Expression, Integer, Decimal, render, Polynomial from .API import Expression, Integer, Decimal
from .core import random_list from .core import random_list
from decimal import getcontext from decimal import getcontext
#getcontext().prec = 2 #getcontext().prec = 2

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@ -91,11 +91,9 @@ def mul2tex(left, right):
'- 3x' '- 3x'
>>> mul2tex(a, a) >>> mul2tex(a, a)
'x \\times x' 'x \\times x'
>>> mul2tex(a, MO.factory(-3))
'x(- 3)'
""" """
left_ = render_with_parenthesis(left, "*") left_ = render_with_parenthesis(left, "*")
right_ = render_with_parenthesis(right, "*", is_at_right=True) right_ = render_with_parenthesis(right, "*")
display_time = True display_time = True
# if (right_[0].isalpha() and (left_.isnumeric() or left_.isdecimal())) or right_[ # if (right_[0].isalpha() and (left_.isnumeric() or left_.isdecimal())) or right_[
@ -185,17 +183,23 @@ def pow2tex(left, right):
return f"{left_}^{{{right_}}}" return f"{left_}^{{{right_}}}"
def render_with_parenthesis(subtree, operator, is_at_right=False): def render_with_parenthesis(subtree, operator):
subtree_need_parenthesis = False subtree_need_parenthesis = False
try: try:
subtree.node subtree.node
except AttributeError: except AttributeError:
try:
if (
OPERATORS[subtree.MAINOP]["precedence"]
< OPERATORS[operator]["precedence"]
):
subtree_need_parenthesis = True
except (AttributeError, KeyError):
pass
try: try:
subtree_ = subtree.__tex__ subtree_ = subtree.__tex__
except AttributeError: except AttributeError:
subtree_ = str(subtree) subtree_ = str(subtree)
if subtree_.startswith("-") and OPERATORS["-"]["precedence"] < OPERATORS[operator]["precedence"] and is_at_right:
subtree_need_parenthesis = True
else: else:
if OPERATORS[subtree.node]["precedence"] < OPERATORS[operator]["precedence"]: if OPERATORS[subtree.node]["precedence"] < OPERATORS[operator]["precedence"]:
subtree_need_parenthesis = True subtree_need_parenthesis = True

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@ -91,13 +91,11 @@ def mul2txt(left, right):
'- 3x' '- 3x'
>>> mul2txt(a, a) >>> mul2txt(a, a)
'x * x' 'x * x'
>>> mul2txt(a, MO.factory(-3))
'x(- 3)'
""" """
display_time = True display_time = True
left_ = render_with_parenthesis(left, "*") left_ = render_with_parenthesis(left, "*")
right_ = render_with_parenthesis(right, "*", is_at_right=True) right_ = render_with_parenthesis(right, "*")
if right_[0].isalpha(): if right_[0].isalpha():
# TODO: C'est bien beurk en dessous... |ven. déc. 21 12:03:07 CET 2018 # TODO: C'est bien beurk en dessous... |ven. déc. 21 12:03:07 CET 2018
@ -189,22 +187,23 @@ def pow2txt(left, right):
return f"{left_}^{right_}" return f"{left_}^{right_}"
def tree_with_parenthesis(subtree, operator): def render_with_parenthesis(subtree, operator):
""" Assuming the subtree is a tree, then have .node """
pass
def render_with_parenthesis(subtree, operator, is_at_right=False):
subtree_need_parenthesis = False subtree_need_parenthesis = False
try: try:
subtree.node subtree.node
except AttributeError: except AttributeError:
try:
if (
OPERATORS[subtree.MAINOP]["precedence"]
< OPERATORS[operator]["precedence"]
):
subtree_need_parenthesis = True
except (AttributeError, KeyError):
pass
try: try:
subtree_ = subtree.__txt__ subtree_ = subtree.__txt__
except AttributeError: except AttributeError:
subtree_ = str(subtree) subtree_ = str(subtree)
if subtree_.startswith("-") and OPERATORS["-"]["precedence"] < OPERATORS[operator]["precedence"] and is_at_right:
subtree_need_parenthesis = True
else: else:
if OPERATORS[subtree.node]["precedence"] < OPERATORS[operator]["precedence"]: if OPERATORS[subtree.node]["precedence"] < OPERATORS[operator]["precedence"]:
subtree_need_parenthesis = True subtree_need_parenthesis = True