Mapytex/pymath/random_expression.py

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#!/usr/bin/env python
# encoding: utf-8
from random import randint
from .expression import Expression
from .renders import tex, txt
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import re
from .arithmetic import gcd
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class RdExpression(object):
"""A generator of random expression builder"""
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def __init__(self, form, conditions = [], with_Exp = True):
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"""Initiate the generator
:param form: the form of the expression (/!\ variables need to be in brackets {})
:param conditions: condition on variables (/!\ variables need to be in brackets {})
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:param with_Exp: If True, __call__ return an expression rendered through Expression class. If False, keep form and replace inside.
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"""
self._form = form
self._conditions = conditions
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self._with_Exp = with_Exp
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self._letters = self.get_letters()
self._gene_varia = {}
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self._gene_2replaced= {}
def get_2replaced(self):
"""Get elements of self._form which will have to be replaced
:returns: set for elements which have to be replaced
"""
pattern = "\{(.*?)\}" #select inside {} non greedy way
varia_form = re.findall(pattern, self._form)
varia_form = set(varia_form)
varia_cond = set()
for c in self._conditions:
varia_cond = varia_cond | set(re.findall(pattern, c))
self._2replaced = varia_cond | varia_form
return self._2replaced
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def get_letters(self):
"""Find letters in the form
:returns: list of letters
"""
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v2replaced = self.get_2replaced()
varia = set()
pattern = "([a-zA-Z]+)"
for v in v2replaced:
lvar = set(re.findall(pattern, v))
varia = varia | lvar
return varia
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def __call__(self, val_min = -10, val_max = 10, render = tex):
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"""RdExpression once it is initiate act like a function which create random expressions.
:param val_min: minimum value random generation
:param val_max: maximum value random generation
:param render: Render of the expression (returns an Expression by default)
:returns: an formated random expression
"""
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if self._with_Exp:
return render(self.raw_exp(val_min, val_max).postfix_tokens)
else:
return self.raw_str(val_min, val_max)
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def raw_str(self, val_min = -10, val_max = 10):
"""Return raw string (don't use Expression for rendering or parsing)
:param val_min: minimum value random generation
:param val_max: maximum value random generation
:returns: an random Expression object
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"""
self.gene_varia(val_min, val_max)
while not(self.val_conditions()):
self.gene_varia(val_min, val_max)
exp = self._form.format(**self._gene_2replaced)
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return exp
def raw_exp(self, val_min = -10, val_max = 10):
"""Same as raw_str but returns an Expression object
:param val_min: minimum value random generation
:param val_max: maximum value random generation
:returns: an random Expression object
"""
exp = self.raw_str(val_min, val_max)
return Expression(exp)
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def gene_varia(self, val_min = -10, val_max = 10):
"""Randomly generates variables/letters
Varia can't be equal to 0
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"""
for l in self._letters:
self._gene_varia[l] = randint(val_min, val_max)
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while self._gene_varia[l] == 0:
self._gene_varia[l] = randint(val_min, val_max)
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for e in self._2replaced:
self._gene_2replaced[e] = eval(e, globals(), self._gene_varia)
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def val_conditions(self):
"""Tells whether or not conditions are validates
:returns: boolean
"""
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if self._conditions != []:
return eval(" and ".join(self._conditions).format(**self._gene_2replaced))
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else:
return True
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def desc_rdExp(rdExp):
print("--------------------")
print("form: ",rdExp._form)
print("Conditions: ",rdExp._conditions)
print("Letters: ", rdExp._letters)
print("2replaced: ", rdExp._2replaced)
print("Call : ", rdExp(render = tex))
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print("Gene varia: ", rdExp._gene_varia)
print("Gene 2replaced: ", rdExp._gene_2replaced)
print('')
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if __name__ == '__main__':
form = "{a}*-14 / (2*{b}) : -23 / 4"
cond = ["{a} + {b} in [1, 2, 3, 4, 5]", "{a} not in [1]", "{b} not in [1]"]
rdExp1 = RdExpression(form, cond)
desc_rdExp(rdExp1)
rdExp2 = RdExpression(form)
desc_rdExp(rdExp2)
form = "{a+a*10}*4 + {a} + 2*{b}"
cond = ["{a} + {b} in [1, 2, 3, 4, 5]", "abs({a}) not in [1]", "{b} not in [1]", "gcd({a},{b}) == 1"]
rdExp3 = RdExpression(form, cond)
desc_rdExp(rdExp3)
form = "{a+a*10}*4 + {a} + 2*{b}"
cond = ["{a-b} + {b} in list(range(20))", "abs({a}) not in [1]", "{b} not in [1]", "gcd({a},{b}) == 1"]
rdExp3 = RdExpression(form, cond)
desc_rdExp(rdExp3)
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# -----------------------------
# Reglages pour 'vim'
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
# cursor: 16 del