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move formal to polynom and solve (I hope) consequences

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This commit is contained in:
Lafrite 2014-02-22 10:38:57 +01:00
parent 2e417f3bef
commit 3786bd5cf6
4 changed files with 41 additions and 42 deletions
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14
pymath/expression.py
View File

@ -4,7 +4,7 @@
from .generic import Stack, flatten_list, expand_list
from .fraction import Fraction
from .renders import txt_render, post2in_fix, tex_render
from .formal import FormalExp
from .polynom import Polynom
class Expression(object):
"""A calculus expression. Today it can andle only expression with numbers later it will be able to manipulate unknown"""
@ -143,17 +143,17 @@ class Expression(object):
# If "3x", ")x" or "yx"
if self.isNumber(tokens[-1]) \
or tokens[-1] == ")" \
or type(tokens[-1]) == FormalExp:
or type(tokens[-1]) == Polynom:
tokens.append("*")
tokens.append(FormalExp(letter = character))
tokens.append(Polynom(letter = character))
# Special case for "-" at the begining of an expression or before "("
elif tokens[-1] == "-" \
or str(tokens[-2]) in " (":
tokens[-1] = - FormalExp(letter = character)
tokens[-1] = - Polynom(letter = character)
else:
tokens.append(FormalExp(letter = character))
tokens.append(Polynom(letter = character))
elif character in "+-*/):^":
tokens.append(character)
@ -162,7 +162,7 @@ class Expression(object):
# If "3(", ")(" or "x("
if self.isNumber(tokens[-1]) \
or tokens[-1] == ")" \
or type(tokens[-1]) == FormalExp:
or type(tokens[-1]) == Polynom:
tokens.append("*")
tokens.append(character)
@ -324,7 +324,7 @@ class Expression(object):
"""
return type(exp) == int or \
type(exp) == Fraction or \
type(exp) == FormalExp
type(exp) == Polynom
@staticmethod
def isOperator(exp):

55
pymath/formal.py → pymath/polynom.py
View File

@ -5,11 +5,11 @@ from .fraction import Fraction
from .generic import add_in_dict, remove_in_dict, convolution_dict
import re
class FormalExp(object):
"""A formal expression (similare to Symbol in Sympy"""
class Polynom(object):
"""A polynom (similare to Symbol in Sympy"""
def __init__(self, coef = {}, letter = ""):
"""Initiat the formal expression
"""Initiat the polynom
:param coef: the dictionary representing the expression
:param letter: minimum expression, a letter
@ -17,14 +17,14 @@ class FormalExp(object):
"""
if coef != {} and letter != "":
raise ValueError("A FormalExp can't be initiate with dict_exp and a letter")
raise ValueError("A Polynom can't be initiate with dict_exp and a letter")
elif letter != "":
self._letter = letter
self._coef = {letter: 1}
elif coef != {}:
self._coef = coef
else:
raise ValueError("FormalExp needs a letter or dictionary of coeficients")
raise ValueError("Polynom needs a letter or dictionary of coeficients")
if len(self) != 1:
self.mainOp = "+"
@ -52,7 +52,7 @@ class FormalExp(object):
return power[m_power]
def check_calculous(self, other):
"""Check if other is a constant and then transform it into a dictionary compatible with FormalExp
"""Check if other is a constant and then transform it into a dictionary compatible with Polynom
:param other: The thing to compute with the expression
:returns: dictionary of this thing
@ -60,22 +60,22 @@ class FormalExp(object):
"""
if type(other) in [int, Fraction]:
return {"":other}
elif type(other) == FormalExp:
elif type(other) == Polynom:
return other._coef.copy()
else:
raise ValueError("Can't add {type} with FormalExp".format(type=type(other)))
raise ValueError("Can't add {type} with Polynom".format(type=type(other)))
def const_or_formal(self, d):
"""Return a constant if there is nothing else, FormalExp otherwise
def const_or_poly(self, d):
"""Return a constant if there is nothing else, Polynom otherwise
:param d: dictionary descripting the expression
:returns: a constant or a FormalExp
:returns: a constant or a Polynom
"""
if list(d.keys()) == ['']:
return d['']
else:
return FormalExp(d)
return Polynom(d)
def __add__(self, other):
d = self.check_calculous(other)
@ -83,7 +83,7 @@ class FormalExp(object):
d = add_in_dict(self._coef, d)
d = remove_in_dict(d)
return [self.const_or_formal(d)]
return [self.const_or_poly(d)]
def __radd__(self, other):
return self + other
@ -96,7 +96,7 @@ class FormalExp(object):
d = {}
for k,v in self._coef.items():
d[k] = -v
return FormalExp(d)
return Polynom(d)
def __mul__(self, other):
d = self.check_calculous(other)
@ -104,7 +104,15 @@ class FormalExp(object):
d = convolution_dict(self._coef, d, op_key = self.op_key)
d = remove_in_dict(d)
return [self.const_or_formal(d)]
return [self.const_or_poly(d)]
def __rmul__(self, other):
d = self.check_calculous(other)
d = convolution_dict(d, self._coef, op_key = self.op_key)
d = remove_in_dict(d)
return [self.const_or_poly(d)]
def op_key(self, x,y):
"""Operation on keys for convolution_dict"""
@ -112,16 +120,7 @@ class FormalExp(object):
return x+y
else:
return x + "*" + y
def __rmul__(self, other):
d = self.check_calculous(other)
d = convolution_dict(d, self._coef, op_key = self.op_key)
d = remove_in_dict(d)
return [self.const_or_formal(d)]
def __div__(self, other):
# Will never be done :D
pass
@ -151,9 +150,9 @@ class FormalExp(object):
return ans
if __name__ == '__main__':
fe1 = FormalExp({"x": -1, "":-2})
fe1 = Polynom({"x": -1, "":-2})
print(fe1)
fe2 = FormalExp({"x^12": 5, "":2})
fe2 = Polynom({"x^12": 5, "":2})
print(fe2)
fe3 = fe1 * fe2
for s in fe3:
@ -162,11 +161,11 @@ if __name__ == '__main__':
for s in fe4:
print(s)
fe = FormalExp(letter = "a")
fe = Polynom(letter = "a")
fe_ = -2 * fe
print(fe_[0])
fe = FormalExp(letter = "a")
fe = Polynom(letter = "a")
fe_ = fe * (-2)
print(fe_[0])

8
pymath/render.py
View File

@ -3,7 +3,7 @@
from .generic import Stack,flatten_list
from .fraction import Fraction
from .formal import FormalExp
from .polynom import Polynom
class Render(object):
"""A class which aims to create render functions from three dictionnaries:
@ -15,7 +15,7 @@ class Render(object):
PRIORITY = {"^": 4,"*" : 3, "/": 3, ":": 3, "+": 2, "-":2, "(": 1}
def __init__(self, op_infix = {}, op_postfix = {}, other = {}, join = " ", type_render = {int: str, Fraction: str, FormalExp: str}):
def __init__(self, op_infix = {}, op_postfix = {}, other = {}, join = " ", type_render = {int: str, Fraction: str, Polynom: str}):
"""Initiate the render
@param op_infix: the dictionnary of infix operator with how they have to be render
@ -118,7 +118,7 @@ class Render(object):
return 1
# Si c'est un expression formelle
elif type(operande) == FormalExp:
elif type(operande) == Polynom:
if operator in ["*", "/", "^"]:
if len(operande) > 1 \
or operande.master_coef() < 0:
@ -190,7 +190,7 @@ class Render(object):
"""
return type(exp) == int \
or type(exp) == Fraction \
or type(exp) == FormalExp
or type(exp) == Polynom
def isOperator(self, exp):
"""Check if the expression is in self.operators

6
pymath/renders.py
View File

@ -3,7 +3,7 @@
from .render import Render
from .fraction import Fraction
from .formal import FormalExp
from .polynom import Polynom
from .generic import first_elem
# ------------------------
@ -39,7 +39,7 @@ def texFrac(frac):
def texMult(op1,op2):
fe = first_elem(op2)
if type(fe) == FormalExp or fe.isalpha():
if type(fe) == Polynom or fe.isalpha():
if type(op1) == list and op1[0] == "(":
return ["(", op1[1:-1], op2, ")"]
else:
@ -50,7 +50,7 @@ def texMult(op1,op2):
tex_infix = {"+": " + ", "-": " - ", "*": texMult , ":": ":", "^":"^"}
tex_postfix = {"/": texSlash}
tex_other = {"(": "(", ")": ")"}
tex_type_render = {int: str, Fraction: texFrac, FormalExp: str}
tex_type_render = {int: str, Fraction: texFrac, Polynom: str}
tex_render = Render(tex_infix, tex_postfix, tex_other, type_render = tex_type_render)