Mapytex/pymath/render.py

261 lines
8.4 KiB
Python

#!/usr/bin/env python
# encoding: utf-8
from .generic import Stack,flatten_list
from .fraction import Fraction
from .formal import FormalExp
class Render(object):
"""A class which aims to create render functions from three dictionnaries:
- op_infix: dict of caracters
- op_postfix: dict of 2 arguments functions
- other: dict of caracters
Those three dictionnaries while define how a postfix expression will be transform into a string.
"""
<<<<<<< HEAD
PRIORITY = {"^": 4,"*" : 3, "/": 3, ":": 3, "+": 2, "-":2, "(": 1}
=======
PRIORITY = {"*" : 3, "/": 3, ":": 3, "+": 2, "-":2, "(": 1}
>>>>>>> render accept ":"
def __init__(self, op_infix = {}, op_postfix = {}, other = {}, join = " ", type_render = {int: str, Fraction: str, FormalExp: str}):
"""Initiate the render
@param op_infix: the dictionnary of infix operator with how they have to be render
@param op_postfix: the dictionnary of postfix operator with how they have to be render
@param other: other caracters like parenthesis.
@param raw: the caracter for joining the list of tokens (if False then it returns the list of tokens)
@param type_render: how to render number (str or tex for fractions for example)
"""
self.op_infix = op_infix
self.op_postfix = op_postfix
self.other = other
# TODO: there may be issues with PRIORITY if a sign does not appear in PRIORITY
self.join = join
self.type_render = type_render
self.operators = list(self.op_infix.keys()) + list(self.op_postfix.keys()) + list(self.other.keys())
def __call__(self, postfix_tokens):
"""Make the object acting like a function
:param postfix_tokens: the list of postfix tokens to be render
:returns: the render string
"""
operandeStack = Stack()
for token in postfix_tokens:
if self.isOperator(token):
op2 = operandeStack.pop()
if self.needPar(op2, token, "after"):
op2 = [self.other["("] , op2 , self.other[")"]]
op1 = operandeStack.pop()
if self.needPar(op1, token, "before"):
op1 = [self.other["("] , op1 , self.other[")"]]
if token in self.op_infix:
res = flist([op1 , self.op_infix[token] , op2])
elif token in self.op_postfix:
res = flist([self.op_postfix[token](op1, op2)])
# Trick to remember the main op when the render will be done!
res.mainOp = token
operandeStack.push(res)
else:
operandeStack.push(token)
# Manip pour gerer les cas de listes imbriquées dans d'autres listes
infix_tokens = operandeStack.pop()
if type(infix_tokens) == list or type(infix_tokens) == flist:
infix_tokens = flatten_list(infix_tokens)
elif self.isNumerande(infix_tokens):
infix_tokens = [infix_tokens]
if self.join:
return self.join.join(flatten_list([self.render_from_type(t) for t in infix_tokens]))
else:
return infix_tokens
def render_from_type(self, op):
""" If the op is a numerande, it transforms it with type_render conditions
:param op: the operator
:returns: the op transformed if it's necessary
"""
if self.isNumerande(op):
return self.type_render[type(op)](op)
else:
return op
# ---------------------
# Tools for placing parenthesis in infix notation
def needPar(self, operande, operator, posi = "after"):
"""Says whether or not the operande needs parenthesis
:param operande: the operande
:param operator: the operator
:param posi: "after"(default) if the operande will be after the operator, "before" othewise
:returns: bollean
"""
# Si l'operande est negatif
if self.isNumber(operande) \
and operande < 0:
return 1
# Si c'est un expression formelle
elif type(operande) == FormalExp:
if operator in ["*", "/", "^"]:
if len(operande) > 1 \
or operande.master_coef() < 0:
return 1
else:
return 0
elif not self.isNumber(operande):
# Si c'est une grande expression ou un chiffre négatif
stand_alone = self.get_main_op(operande)
# Si la priorité de l'operande est plus faible que celle de l'opérateur
minor_priority = self.PRIORITY[self.get_main_op(operande)] < self.PRIORITY[operator]
# Si l'opérateur est - ou / pour after ou / ou ^ pour before
special = (operator in "-/" and posi == "after") or (operator in "/^" and posi == "before")
return stand_alone and (minor_priority or special)
else:
return 0
def get_main_op(self, tokens):
"""Getting the main operation of the list of tokens
:param exp: the list of tokens
:returns: the main operation (+, -, * or /) or 0 if the expression is only one element
"""
if hasattr(tokens, "mainOp"):
return tokens.mainOp
if len(tokens) == 1:
# Si l'expression n'est qu'un élément
return 0
parStack = Stack()
main_op = []
for token in tokens:
if token == "(":
parStack.push(token)
elif token == ")":
parStack.pop()
elif self.isOperator(token) and parStack.isEmpty():
main_op.append(token)
return min(main_op, key = lambda s: self.PRIORITY[s])
## ---------------------
## Recognize numbers and operators
@staticmethod
def isNumber( exp):
"""Check if the expression can be a number which means int or Fraction
:param exp: an expression
:returns: True if the expression can be a number and false otherwise
"""
return type(exp) == int \
or type(exp) == Fraction
#return type(exp) == int or type(exp) == Fraction
@staticmethod
def isNumerande(exp):
"""Check if the expression can be a numerande (not an operator)
:param exp: an expression
:returns: True if the expression can be a number and false otherwise
"""
return type(exp) == int \
or type(exp) == Fraction \
or type(exp) == FormalExp
def isOperator(self, exp):
"""Check if the expression is in self.operators
:param exp: an expression
:returns: boolean
"""
return (type(exp) == str and exp in self.operators)
class flist(list):
"""Fake list- they are used to stock the main operation of an rendered expression"""
pass
# ------------------------
# A console render
txt_infix = {"+": "+", "-": "-", "*": "*", "/" : "/", ":": ":"}
txt_postfix = {}
txt_other = {"(": "(", ")": ")"}
txt_render = Render(txt_infix, txt_postfix, txt_other)
# ------------------------
# A infix to postfix list convertor
p2i_infix = {"+": "+", "-": "-", "*": "*", "/" : "/", ":":":"}
p2i_postfix = {}
p2i_other = {"(": "(", ")": ")"}
post2in_fix = Render(p2i_infix, p2i_postfix, p2i_other, join = False)
# ------------------------
# A latex render
def texSlash(op1, op2):
if not Render.isNumerande(op1) and op1[0] == "(" and op1[-1] == ")":
op1 = op1[1:-1]
if not Render.isNumerande(op2) and op2[0] == "(" and op2[-1] == ")":
op2 = op2[1:-1]
return ["\\frac{" , op1 , "}{" , op2 , "}"]
def texFrac(frac):
return ["\\frac{" , str(frac._num) , "}{" , str(frac._denom) , "}"]
tex_infix = {"+": " + ", "-": " - ", "*": " \\times ", ":": ":"}
tex_postfix = {"/": texSlash}
tex_other = {"(": "(", ")": ")"}
tex_type_render = {int: str, Fraction: texFrac, FormalExp: str}
tex_render = Render(tex_infix, tex_postfix, tex_other, type_render = tex_type_render)
if __name__ == '__main__':
exp = [2, 5, '+', 1, '-', 3, 4, '*', ':']
print(txt_render(exp))
exp = [2, 5, '+', 1, '-', 3, 4, '*', '/', 3, 5, '/', ':']
print(tex_render(exp))
exp = [2, 5, '+', 1, '-', 3, 4, '*', '/', 3, '+']
print(post2in_fix(exp))
# -----------------------------
# Reglages pour 'vim'
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
# cursor: 16 del