Import work from other repo
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parent
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#!/usr/bin/env python
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# encoding: utf-8
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#! /usr/bin/env python
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# -*- coding: utf-8 -*-
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# vim:fenc=utf-8
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#
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# Copyright © 2017 lafrite <lafrite@Poivre>
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#
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# Distributed under terms of the MIT license.
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from .expression import Expression
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from .polynom import Polynom
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from .fraction import Fraction
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from .equation import Equation
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from .random_expression import random_str
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from .render import txt
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"""
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Abstracts tools for calculs manipulations
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"""
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__all__ = []
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# -----------------------------
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21
mapytex/calculus/core/__init__.py
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21
mapytex/calculus/core/__init__.py
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#! /usr/bin/env python
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# -*- coding: utf-8 -*-
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# vim:fenc=utf-8
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#
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# Copyright © 2017 lafrite <lafrite@Poivre>
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#
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# Distributed under terms of the MIT license.
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"""
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Abstracts tools for calculs manipulations
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"""
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__all__ = ["Tree"]
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from .tree import Tree
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# -----------------------------
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# Reglages pour 'vim'
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# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del
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33
mapytex/calculus/core/coroutine.py
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33
mapytex/calculus/core/coroutine.py
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#! /usr/bin/env python
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# -*- coding: utf-8 -*-
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# vim:fenc=utf-8
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#
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# Copyright © 2017 lafrite <lafrite@Poivre>
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#
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# Distributed under terms of the MIT license.
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"""
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Coroutine and sink tools
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"""
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from functools import wraps
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__all__ = ["coroutine", "STOOOP", "RESTAAART"]
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def coroutine(func):
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@wraps(func)
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def start(*args,**kwargs):
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cr = func(*args,**kwargs)
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next(cr)
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return cr
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return start
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class STOOOP(BaseException): pass
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class RESTAAART(BaseException): pass
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# -----------------------------
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# Reglages pour 'vim'
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# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del
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22
mapytex/calculus/core/operator.py
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22
mapytex/calculus/core/operator.py
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#! /usr/bin/env python
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# -*- coding: utf-8 -*-
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# vim:fenc=utf-8
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#
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# Copyright © 2017 lafrite <lafrite@Poivre>
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#
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# Distributed under terms of the MIT license.
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OPERATORS = {
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"+": {"priority":0},
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"-": {"priority":1},
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"*": {"priority":2},
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"/": {"priority":3},
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"^": {"priority":4},
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}
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# -----------------------------
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# Reglages pour 'vim'
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# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
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# cursor: 16 del
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507
mapytex/calculus/core/str2.py
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507
mapytex/calculus/core/str2.py
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#! /usr/bin/env python
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# -*- coding: utf-8 -*-
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# vim:fenc=utf-8
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#
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# Copyright © 2017 lafrite <lafrite@Poivre>
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#
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# Distributed under terms of the MIT license.
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"""
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Converting a string with coroutines
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"""
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from functools import partial
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from .coroutine import *
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__all__ = ["str2", ]
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def maybe_it_is(cara):
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""" Return a function which return
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Maybe if cara startwith the argument and True if it is cara
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:exemple:
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>>> it_is_pipo = maybe_it_is("pipo")
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>>> it_is_pipo("pi")
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'maybe'
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>>> it_is_pipo("pipo")
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True
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>>> it_is_pipo("uo")
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False
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>>> it_is_iuo = maybe_it_is("iuo")
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>>> it_is_iuo("pi")
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False
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>>> it_is_iuo("iuo")
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True
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>>> it_is_iuo("uo")
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False
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"""
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def func(c):
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if c == cara:
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return True
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elif cara.startswith(c):
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return "maybe"
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else:
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return False
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return func
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def something_in(cara_list):
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""" Return a function which sais whether a caracter is in cara_list or not
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"""
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def func(c):
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if c in cara_list:
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return True
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else:
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return False
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return func
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@coroutine
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def lookfor(condition, replace = lambda x:''.join(x)):
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""" Sink which is looking for term and yield replace founded patern
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with the lenght of the accumulation.
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It can be reset by sending None
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:param condition: conditional function which returns a boolean or "maybe"
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:param replace: function which make a final transformation to the founded
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string. Id by default.
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:example:
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>>> lf = lookfor(maybe_it_is("pipo"), lambda x: 'remp')
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>>> acc = ""
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>>> for i in 'popipo':
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... a = lf.send(i)
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... if a == "maybe":
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... acc += i
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... elif a:
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... acc = ""
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... print(a)
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... else:
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... print(acc + i)
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... acc = ""
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po
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remp
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>>> lf = lookfor(maybe_it_is("po") , lambda x: ''.join(x).upper())
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>>> acc = ""
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>>> for i in 'popipo':
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... a = lf.send(i)
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... if a == "maybe":
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... acc += i
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... elif a:
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... acc = ""
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... print(a)
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... else:
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... print(acc + i)
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... acc = ""
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PO
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pi
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PO
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>>> lf = lookfor(maybe_it_is("pi") , lambda x: 1)
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>>> acc = ""
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>>> for i in 'popipop':
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... a = lf.send(i)
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... if a == "maybe":
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... acc += i
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... elif a:
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... acc = ""
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... print(a)
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... else:
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... print(acc + i)
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... acc = ""
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po
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1
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po
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>>> # the p in still processing
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>>> acc = ""
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>>> for i in 'iop':
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... a = lf.send(i)
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... if a == "maybe":
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... acc += i
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... elif a:
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... acc = ""
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... print(a)
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... else:
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... print(acc + i)
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... acc = ""
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1
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o
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>>> # the p in still processing
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>>> lf.throw(RESTAAART)
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False
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>>> # p has been forgot
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>>> acc = ""
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>>> for i in 'ipopi':
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... a = lf.send(i)
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... if a == "maybe":
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... acc += i
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... elif a:
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... acc = ""
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... print(a)
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... else:
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... print(acc + i)
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... acc = ""
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i
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po
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1
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"""
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acc = []
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ans = False
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while True:
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try:
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c = (yield ans)
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except RESTAAART as err:
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acc = []
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ans = False
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else:
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if c is not None:
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acc.append(c)
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found = condition(''.join(acc))
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if found == "maybe":
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ans = "maybe"
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elif found:
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ans = replace(acc)
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acc = []
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else:
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ans = False
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acc = []
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@coroutine
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def remember_lookfor(lookfor):
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""" Coroutine which remember sent value before the lookfor finds something
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:example:
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>>> lkf = lookfor(maybe_it_is("pipo"), lambda x: 'remp')
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>>> rmb_lkf = remember_lookfor(lkf)
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>>> for i in 'popipopi':
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... print(rmb_lkf.send(i))
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maybe
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False
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maybe
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maybe
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maybe
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['p', 'o', 'remp']
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maybe
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maybe
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>>> for i in 'popi':
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... print(rmb_lkf.send(i))
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maybe
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['remp']
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maybe
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maybe
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>>> rmb_lkf.throw(RESTAAART)
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['p', 'i']
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>>> for i in 'popi':
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... print(rmb_lkf.send(i))
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maybe
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False
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maybe
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maybe
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"""
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acc = []
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mb_acc = []
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ans = False
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while True:
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try:
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c = (yield ans)
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except RESTAAART as err:
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lookfor.throw(err)
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ans = acc + mb_acc
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acc = []
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mb_acc = []
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else:
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lkf_state = lookfor.send(c)
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if lkf_state == "maybe":
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mb_acc.append(c)
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ans = "maybe"
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elif lkf_state:
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ans = acc + [lkf_state]
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acc = []
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mb_acc = []
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else:
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acc += mb_acc
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mb_acc = []
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acc.append(c)
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ans = False
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@coroutine
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def concurent_broadcast(target, lookfors = []):
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""" Coroutine which broadcasts multiple lookfor coroutines and reinitializes
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them when one found something
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Same as parallelized_lookfor but coroutine version
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:param target: target to send data to
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:param lookfors: list of lookfor coroutines
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:example:
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>>> lf1 = lookfor(maybe_it_is("abc"), lambda x: "".join(x).upper())
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>>> searcher = concurent_broadcast(list_sink, [lf1])
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>>> for i in "azabcab":
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... searcher.send(i)
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>>> a = searcher.throw(STOOOP)
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>>> print(a)
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['a', 'z', 'ABC', 'a', 'b']
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>>> lf2 = lookfor(maybe_it_is("az"))
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>>> searcher = concurent_broadcast(list_sink, [lf1, lf2])
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>>> for i in "azabcabazb":
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... searcher.send(i)
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>>> a = searcher.throw(STOOOP)
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>>> print(a)
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['az', 'ABC', 'a', 'b', 'az', 'b']
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>>> lfop = lookfor(something_in("+-*/()"), lambda x: f"op{x}")
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>>> searcher = concurent_broadcast(list_sink, [lfop])
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>>> for i in '12+3+234':
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... searcher.send(i)
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>>> a = searcher.throw(STOOOP)
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>>> print(a)
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['1', '2', "op['+']", '3', "op['+']", '2', '3', '4']
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>>> # need to remake a searcher otherwise it remenbers old ans
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>>> searcher = concurent_broadcast(list_sink, [lfop])
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>>> for i in '12*(3+234)':
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... searcher.send(i)
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>>> a = searcher.throw(STOOOP)
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>>> print(a)
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['1', '2', "op['*']", "op['(']", '3', "op['+']", '2', '3', '4', "op[')']"]
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>>> lfsqrt = lookfor(maybe_it_is("sqrt"), lambda x: f"op['sqrt']")
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>>> searcher = concurent_broadcast(list_sink, [lfop, lfsqrt])
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>>> for i in '3+2*sqrt(3)':
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... searcher.send(i)
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>>> a = searcher.throw(STOOOP)
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>>> print(a)
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['3', "op['+']", '2', "op['*']", "op['sqrt']", "op['(']", '3', "op[')']"]
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"""
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try:
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target_ = target()
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except TypeError:
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target_ = target
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lookfors_ = [remember_lookfor(lkf) for lkf in lookfors]
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stock = []
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ans = []
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try:
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while True:
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found = False
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tok = yield
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if tok is not None:
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for lf in lookfors_:
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lf_ans = lf.send(tok)
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if lf_ans and lf_ans != "maybe":
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found = lf_ans
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break
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if found:
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for lf in lookfors_:
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lf.throw(RESTAAART)
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for i in found:
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ans = target_.send(i)
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except STOOOP as err:
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for lf in lookfors_:
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last = lf.throw(RESTAAART)
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for i in last:
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target_.send(i)
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yield target_.throw(err)
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@coroutine
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def lookforNumbers(target):
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""" Coroutine which parse numbers
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:exemple:
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>>> str2list = lookforNumbers(list_sink)
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>>> for i in "12+1234*67":
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... str2list.send(i)
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>>> a = str2list.throw(STOOOP)
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>>> print(a)
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['12', '+', '1234', '*', '67']
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>>> str2list = lookforNumbers(list_sink)
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>>> for i in "1.2+12.34*67":
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... str2list.send(i)
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>>> a = str2list.throw(STOOOP)
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>>> print(a)
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['1.2', '+', '12.34', '*', '67']
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>>> str2list = lookforNumbers(list_sink)
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>>> for i in "12.3.4*67":
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... str2list.send(i)
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Traceback (most recent call last):
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...
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ValueError: Can't build a number with 2 dots (current is 12.3)
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>>> str2list = lookforNumbers(list_sink)
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>>> for i in ".34*67":
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... a = str2list.send(i)
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Traceback (most recent call last):
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||||
...
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ValueError: Can't build a number starting with a dot
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"""
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try:
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target_ = target()
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except TypeError:
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target_ = target
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current = ""
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ans = []
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try:
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while True:
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||||
tok = yield
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||||
if tok is not None:
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||||
try:
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int(tok)
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except ValueError:
|
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if tok == '.':
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if "." in current:
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raise ValueError(f"Can't build a number with 2 dots (current is {current})")
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||||
elif len(current) == 0:
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raise ValueError(f"Can't build a number starting with a dot")
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||||
else:
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current += tok
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else:
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||||
if current:
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target_.send(current)
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current = ""
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target_.send(tok)
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else:
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current += tok
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except STOOOP as err:
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||||
if current:
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target_.send(current)
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yield target_.throw(err)
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@coroutine
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def pparser(target):
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""" Parenthesis parser sink
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||||
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:example:
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>>> pp = pparser(list_sink)
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>>> for i in "buio":
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... pp.send(i)
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>>> a = pp.throw(STOOOP)
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>>> a
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['b', 'u', 'i', 'o']
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>>> pp = pparser(list_sink)
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>>> for i in "agg(bcz)e(i(o))":
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... pp.send(i)
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>>> a = pp.throw(STOOOP)
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>>> a
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['a', 'g', 'g', ['b', 'c', 'z'], 'e', ['i', ['o']]]
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|
||||
"""
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||||
target_ = target()
|
||||
|
||||
try:
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||||
while True:
|
||||
caract = yield
|
||||
if caract == "(":
|
||||
a = yield from pparser(target)
|
||||
target_.send(a)
|
||||
elif caract == ")":
|
||||
a = target_.throw(STOOOP)
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||||
return a
|
||||
else:
|
||||
target_.send(caract)
|
||||
except STOOOP as err:
|
||||
yield target_.throw(err)
|
||||
|
||||
@coroutine
|
||||
def list_sink():
|
||||
""" Testing sink for coroutines
|
||||
|
||||
:example:
|
||||
|
||||
>>> sink = list_sink()
|
||||
>>> for i in '12+34 * 3':
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||||
... sink.send(i)
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>>> a = sink.throw(STOOOP)
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||||
>>> a
|
||||
['1', '2', '+', '3', '4', ' ', '*', ' ', '3']
|
||||
|
||||
"""
|
||||
ans = list()
|
||||
try:
|
||||
while True:
|
||||
c = (yield)
|
||||
if c is not None:
|
||||
ans.append(c)
|
||||
except STOOOP:
|
||||
yield ans
|
||||
|
||||
def str2(sink):
|
||||
""" Return a pipeline which parse an expression with the sink as an endpont
|
||||
|
||||
:example:
|
||||
|
||||
>>> str2nestedlist = str2(list_sink)
|
||||
>>> exp = "12+3*4"
|
||||
>>> t = str2nestedlist(exp)
|
||||
>>> print(t)
|
||||
['12', '+', '3', '*', '4']
|
||||
>>> exp = "12*3+4"
|
||||
>>> t = str2nestedlist(exp)
|
||||
>>> print(t)
|
||||
['12', '*', '3', '+', '4']
|
||||
>>> exp = "12*(3+4)"
|
||||
>>> t = str2nestedlist(exp)
|
||||
>>> print(t)
|
||||
['12', '*', ['3', '+', '4']]
|
||||
|
||||
>>> from .tree import MutableTree
|
||||
>>> str2tree = str2(MutableTree.sink)
|
||||
>>> exp = "12+3*4"
|
||||
>>> t = str2tree(exp)
|
||||
>>> print(t)
|
||||
+
|
||||
> 12
|
||||
> *
|
||||
| > 3
|
||||
| > 4
|
||||
>>> exp = "12*3+4"
|
||||
>>> t = str2tree(exp)
|
||||
>>> print(t)
|
||||
+
|
||||
> *
|
||||
| > 12
|
||||
| > 3
|
||||
> 4
|
||||
>>> exp = "12*(3+4)"
|
||||
>>> t = str2tree(exp)
|
||||
>>> print(t)
|
||||
*
|
||||
> 12
|
||||
> +
|
||||
| > 3
|
||||
| > 4
|
||||
"""
|
||||
lfop = lookfor(something_in("+-*/"))
|
||||
operator_corout = partial(concurent_broadcast, lookfors = [lfop])
|
||||
|
||||
def pipeline(expression):
|
||||
str2_corout = lookforNumbers(operator_corout(pparser(sink)))
|
||||
for i in expression:
|
||||
str2_corout.send(i)
|
||||
a = str2_corout.throw(STOOOP)
|
||||
|
||||
return a
|
||||
|
||||
return pipeline
|
||||
|
||||
|
||||
str2nestedlist = str2(list_sink)
|
||||
|
||||
|
||||
# -----------------------------
|
||||
# Reglages pour 'vim'
|
||||
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
|
||||
# cursor: 16 del
|
644
mapytex/calculus/core/tree.py
Normal file
644
mapytex/calculus/core/tree.py
Normal file
@ -0,0 +1,644 @@
|
||||
#! /usr/bin/env python
|
||||
# -*- coding: utf-8 -*-
|
||||
# vim:fenc=utf-8
|
||||
#
|
||||
# Copyright © 2017 lafrite <lafrite@Poivre>
|
||||
#
|
||||
# Distributed under terms of the MIT license.
|
||||
|
||||
"""
|
||||
Tree class
|
||||
|
||||
"""
|
||||
|
||||
from .tree_tools import (to_nested_parenthesis,
|
||||
infix_str_concatenate,
|
||||
postfix_concatenate,
|
||||
show_tree,
|
||||
)
|
||||
from .coroutine import *
|
||||
from .str2 import str2
|
||||
from .operator import OPERATORS
|
||||
|
||||
__all__ = ["Tree", "MutableTree"]
|
||||
|
||||
|
||||
class Tree(object):
|
||||
|
||||
"""
|
||||
Binary tree
|
||||
|
||||
This is the chosen structure to manage calculus in PyMath.
|
||||
|
||||
The class is not mutable to preserve its integrity.
|
||||
|
||||
"""
|
||||
|
||||
def __init__(self, node, left_value, right_value):
|
||||
"""
|
||||
Initiate a tree with tuple (node, (left value, right value))
|
||||
|
||||
:example:
|
||||
|
||||
>>> t = Tree("+", 1, 2)
|
||||
>>> t.node
|
||||
'+'
|
||||
>>> t.left_value
|
||||
1
|
||||
>>> t.right_value
|
||||
2
|
||||
"""
|
||||
if node is None or \
|
||||
left_value is None or \
|
||||
right_value is None:
|
||||
raise TypeError("Tree can't have empty node or leaf")
|
||||
|
||||
self.node = node
|
||||
|
||||
self.left_value = left_value
|
||||
self.right_value = right_value
|
||||
|
||||
@classmethod
|
||||
def from_str(cls, expression):
|
||||
""" Initiate a tree from an string expression
|
||||
|
||||
:example:
|
||||
|
||||
>>> t = MutableTree.fromStr("2+3*4")
|
||||
>>> print(t)
|
||||
+
|
||||
> 2
|
||||
> *
|
||||
| > 3
|
||||
| > 4
|
||||
>>> t = MutableTree.fromStr("(2+3)*4")
|
||||
>>> print(t)
|
||||
*
|
||||
> +
|
||||
| > 2
|
||||
| > 3
|
||||
> 4
|
||||
"""
|
||||
t = MutableTree.from_str(expression)
|
||||
return cls.from_mutable_tree(t)
|
||||
|
||||
@classmethod
|
||||
def from_nested_parenthesis(cls, nested_parenthesis):
|
||||
"""
|
||||
Initiate recursively a tree with tuple (node, (left value, right value))
|
||||
|
||||
:example:
|
||||
|
||||
>>> nested_par = ("+", (1, 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> t.node
|
||||
'+'
|
||||
>>> t.left_value
|
||||
1
|
||||
>>> t.right_value
|
||||
2
|
||||
>>> nested_par = ("+", (
|
||||
... ("*", (3, 4)),
|
||||
... 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> t.node
|
||||
'+'
|
||||
>>> type(t.left_value)
|
||||
<class 'calculus.core.tree.Tree'>
|
||||
>>> t.right_value
|
||||
2
|
||||
|
||||
"""
|
||||
try:
|
||||
nested_len = len(nested_parenthesis)
|
||||
num_len = len(nested_parenthesis[1])
|
||||
except TypeError:
|
||||
raise ValueError("Nested parenthesis are not composed of lists")
|
||||
|
||||
if nested_len != 2 and \
|
||||
num_len != 2:
|
||||
raise ValueError("Nested parenthesis don't have right shape")
|
||||
|
||||
node = nested_parenthesis[0]
|
||||
|
||||
try:
|
||||
left_value = Tree.from_nested_parenthesis(nested_parenthesis[1][0])
|
||||
except ValueError:
|
||||
left_value = nested_parenthesis[1][0]
|
||||
try:
|
||||
right_value = Tree.from_nested_parenthesis(nested_parenthesis[1][1])
|
||||
except ValueError:
|
||||
right_value = nested_parenthesis[1][1]
|
||||
|
||||
return cls(node, left_value, right_value)
|
||||
|
||||
@classmethod
|
||||
def from_mutable_tree(cls, mutable_tree):
|
||||
""" Initial a Tree from a MutableTree
|
||||
|
||||
:example:
|
||||
>>> t = MutableTree("*", 1, 2)
|
||||
>>> print(Tree.from_mutable_tree(t))
|
||||
*
|
||||
> 1
|
||||
> 2
|
||||
>>> t1 = MutableTree("*", 1, 2)
|
||||
>>> t2 = MutableTree("*", t1, 3)
|
||||
>>> print(Tree.from_mutable_tree(t2))
|
||||
*
|
||||
> *
|
||||
| > 1
|
||||
| > 2
|
||||
> 3
|
||||
>>> t = MutableTree("*", 1)
|
||||
>>> print(t)
|
||||
*
|
||||
> 1
|
||||
> None
|
||||
>>> Tree.from_mutable_tree(t)
|
||||
Traceback (most recent call last):
|
||||
...
|
||||
TypeError: Tree can't have empty node or leaf
|
||||
|
||||
"""
|
||||
node = mutable_tree.node
|
||||
left_value = mutable_tree.left_value
|
||||
right_value = mutable_tree.right_value
|
||||
|
||||
if node is None or \
|
||||
left_value is None or \
|
||||
right_value is None:
|
||||
raise TypeError("Tree can't have empty node or leaf")
|
||||
|
||||
try:
|
||||
l_value = Tree.from_mutable_tree(left_value)
|
||||
except AttributeError:
|
||||
l_value = left_value
|
||||
|
||||
try:
|
||||
r_value = Tree.from_mutable_tree(right_value)
|
||||
except AttributeError:
|
||||
r_value = right_value
|
||||
|
||||
return cls(node, l_value, r_value)
|
||||
|
||||
def map_leaf(self, function):
|
||||
""" Map on leafs a function
|
||||
|
||||
:param function: take leaf value returns other value
|
||||
:returns: Tree with calculated leaf
|
||||
|
||||
:example:
|
||||
|
||||
>>> nested_par = ("+", (
|
||||
... ("*", (3, 4)),
|
||||
... 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
|
||||
"""
|
||||
try:
|
||||
left_applied = self.left_value.apply(function)
|
||||
except AttributeError:
|
||||
left_applied = function(self.left_value)
|
||||
|
||||
try:
|
||||
right_applied = self.right_value.apply(function)
|
||||
except AttributeError:
|
||||
right_applied = function(self.right_value)
|
||||
|
||||
return Tree(self.node, left_applied, right_applied)
|
||||
|
||||
def apply_on_last_branches(self, function):
|
||||
""" Apply the function on last branches before leaf.
|
||||
|
||||
:param function: (op, a, a) -> b
|
||||
:returns: b if it is a 1 level Tree, Tree otherwise
|
||||
|
||||
"""
|
||||
try:
|
||||
# TODO: to change when typify is done |dim. févr. 19 14:49:06 EAT 2017
|
||||
left_applied = self.left_value.apply_on_last_branches(function)
|
||||
except AttributeError:
|
||||
left_is_leaf = 1
|
||||
|
||||
try:
|
||||
# TODO: to change when typify is done |dim. févr. 19 14:49:06 EAT 2017
|
||||
left_applied = self.left_value.apply_on_last_branches(function)
|
||||
except AttributeError:
|
||||
right_is_leaf = 1
|
||||
|
||||
if left_is_leaf and right_is_leaf:
|
||||
return function(self.node, self.left_value, self.right_value)
|
||||
else:
|
||||
return Tree(self.node, left_applied, right_applied)
|
||||
|
||||
def apply(self, function):
|
||||
""" Apply the function to the whole tree
|
||||
|
||||
:param function: (op, a, a) -> b
|
||||
:returns: b
|
||||
|
||||
:example:
|
||||
|
||||
>>> def to_nested(op, left, right):
|
||||
... return (op, (left, right))
|
||||
>>> nested_par = ("+", (1, 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> t.apply(to_nested)
|
||||
('+', (1, 2))
|
||||
|
||||
>>> nested_par = ("+", (
|
||||
... ("*", (3, 4)),
|
||||
... 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> t.apply(to_nested)
|
||||
('+', (('*', (3, 4)), 2))
|
||||
|
||||
"""
|
||||
try:
|
||||
left_value = self.left_value.apply(function)
|
||||
except AttributeError:
|
||||
left_value = self.left_value
|
||||
|
||||
try:
|
||||
right_value = self.right_value.apply(function)
|
||||
except AttributeError:
|
||||
right_value = self.right_value
|
||||
|
||||
return function(self.node, left_value, right_value)
|
||||
|
||||
def to_nested_parenthesis(self):
|
||||
""" Transform the Tree into its nested parenthesis description
|
||||
:example:
|
||||
|
||||
>>> nested_par = ("+", (1, 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> t.to_nested_parenthesis()
|
||||
('+', (1, 2))
|
||||
>>> nested_par = ("+", (
|
||||
... ("*", (3, 4)),
|
||||
... 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> t.to_nested_parenthesis()
|
||||
('+', (('*', (3, 4)), 2))
|
||||
"""
|
||||
return self.apply(to_nested_parenthesis)
|
||||
|
||||
def to_postfix(self):
|
||||
""" Transform the Tree into postfix notation
|
||||
|
||||
:example:
|
||||
|
||||
>>> nested_par = ("+", (1, 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> t.to_postfix()
|
||||
[1, 2, '+']
|
||||
>>> nested_par = ("+", (
|
||||
... ("*", (3, 4)),
|
||||
... 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> t.to_postfix()
|
||||
[3, 4, '*', 2, '+']
|
||||
>>> nested_par = ("+", (
|
||||
... ("*", (3, 4)),
|
||||
... ("*", (5, 6)),
|
||||
... ))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> t.to_postfix()
|
||||
[3, 4, '*', 5, 6, '*', '+']
|
||||
"""
|
||||
return self.apply(postfix_concatenate)
|
||||
|
||||
def __str__(self):
|
||||
""" Overload str method
|
||||
|
||||
:example:
|
||||
|
||||
>>> nested_par = ("+", (1, 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> print(t)
|
||||
+
|
||||
> 1
|
||||
> 2
|
||||
>>> nested_par = ("+", (
|
||||
... ("*", (3, 4)),
|
||||
... 2))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> print(t)
|
||||
+
|
||||
> *
|
||||
| > 3
|
||||
| > 4
|
||||
> 2
|
||||
>>> nested_par = ("+", (
|
||||
... ("*", (1, 2)),
|
||||
... ("*", (3, 4)),
|
||||
... ))
|
||||
>>> t = Tree.from_nested_parenthesis(nested_par)
|
||||
>>> print(t)
|
||||
+
|
||||
> *
|
||||
| > 1
|
||||
| > 2
|
||||
> *
|
||||
| > 3
|
||||
| > 4
|
||||
"""
|
||||
return self.apply(show_tree)
|
||||
|
||||
|
||||
class MutableTree(Tree):
|
||||
|
||||
"""
|
||||
Mutable Tree.
|
||||
|
||||
It is used to build a new tree before fixing it into a Tree
|
||||
|
||||
"""
|
||||
def __init__(self,
|
||||
node = None,
|
||||
left_value = None,
|
||||
right_value = None):
|
||||
"""
|
||||
Initiate a tree with potentialy None values
|
||||
|
||||
:Example:
|
||||
|
||||
>>> t = MutableTree()
|
||||
>>> t.node, t.left_value, t.right_value
|
||||
(None, None, None)
|
||||
>>> t = MutableTree('*', 1)
|
||||
>>> t.node, t.left_value, t.right_value
|
||||
('*', 1, None)
|
||||
"""
|
||||
|
||||
self.node = node
|
||||
|
||||
self.left_value = left_value
|
||||
self.right_value = right_value
|
||||
|
||||
@classmethod
|
||||
def fromStr(cls, expression):
|
||||
""" Initiate the MutableTree
|
||||
|
||||
:example:
|
||||
>>> t = MutableTree.fromStr("2+3*4")
|
||||
>>> print(t)
|
||||
+
|
||||
> 2
|
||||
> *
|
||||
| > 3
|
||||
| > 4
|
||||
>>> t = MutableTree.fromStr("(2+3)*4")
|
||||
>>> print(t)
|
||||
*
|
||||
> +
|
||||
| > 2
|
||||
| > 3
|
||||
> 4
|
||||
>>> t = MutableTree.fromStr("4*(-2+3)")
|
||||
>>> print(t)
|
||||
*
|
||||
> 4
|
||||
> +
|
||||
| > -
|
||||
| | > None
|
||||
| | > 2
|
||||
| > 3
|
||||
"""
|
||||
str2mutTree = str2(cls.sink)
|
||||
return str2mutTree(expression)
|
||||
|
||||
@classmethod
|
||||
@coroutine
|
||||
def sink(cls):
|
||||
""" Sink which build a build a mutabletree
|
||||
|
||||
Returns the built tree when STOOOP is thrown
|
||||
|
||||
:example:
|
||||
>>> sink = MutableTree.sink()
|
||||
>>> for i in ["1", "+", "2", "*", "3"]:
|
||||
... sink.send(i)
|
||||
>>> a = sink.throw(STOOOP)
|
||||
>>> print(a)
|
||||
+
|
||||
> 1
|
||||
> *
|
||||
| > 2
|
||||
| > 3
|
||||
>>> sink = MutableTree.sink()
|
||||
>>> for i in ["1", "*", "2", "+", "3"]:
|
||||
... sink.send(i)
|
||||
>>> a = sink.throw(STOOOP)
|
||||
>>> print(a)
|
||||
+
|
||||
> *
|
||||
| > 1
|
||||
| > 2
|
||||
> 3
|
||||
>>> sink = MutableTree.sink()
|
||||
>>> for i in ["-", "1", "+", "2"]:
|
||||
... sink.send(i)
|
||||
>>> a = sink.throw(STOOOP)
|
||||
>>> print(a)
|
||||
+
|
||||
> -
|
||||
| > None
|
||||
| > 1
|
||||
> 2
|
||||
|
||||
"""
|
||||
ans = cls()
|
||||
try:
|
||||
while True:
|
||||
c = yield
|
||||
if c is not None:
|
||||
if c in OPERATORS.keys():
|
||||
try:
|
||||
ans.set_node(c)
|
||||
except ValueError:
|
||||
if OPERATORS[c]["priority"] > OPERATORS[ans.node]["priority"]:
|
||||
ans.append_bot(c)
|
||||
else:
|
||||
ans.append_top(c)
|
||||
else:
|
||||
ans.append(c)
|
||||
except STOOOP:
|
||||
yield ans
|
||||
|
||||
def set_node(self, value):
|
||||
""" Set the node value.
|
||||
Once it has been changed it can't be changed again.
|
||||
|
||||
:example:
|
||||
>>> t = MutableTree()
|
||||
>>> t.node
|
||||
>>> t.set_node("*")
|
||||
>>> t.node
|
||||
'*'
|
||||
>>> t.set_node("+")
|
||||
Traceback (most recent call last):
|
||||
...
|
||||
ValueError: The node of the tree is already set
|
||||
"""
|
||||
if self.node is None:
|
||||
self.node = value
|
||||
else:
|
||||
raise ValueError("The node of the tree is already set")
|
||||
|
||||
def set_left_value(self, value):
|
||||
""" Set the left value.
|
||||
Once it has been changed it can't be changed again.
|
||||
|
||||
:example:
|
||||
>>> t = MutableTree()
|
||||
>>> t.left_value
|
||||
>>> t.set_left_value(1)
|
||||
>>> t.left_value
|
||||
1
|
||||
>>> t.set_left_value(2)
|
||||
Traceback (most recent call last):
|
||||
...
|
||||
ValueError: The left branch is full, use set_right_value
|
||||
"""
|
||||
if self.left_value is None:
|
||||
self.left_value = value
|
||||
else:
|
||||
try:
|
||||
self.left_value.append(value)
|
||||
except AttributeError:
|
||||
raise ValueError("The left branch is full, use set_right_value")
|
||||
|
||||
def set_right_value(self, value):
|
||||
""" Set the right value.
|
||||
Once it has been changed it can't be changed again.
|
||||
|
||||
:example:
|
||||
>>> t = MutableTree()
|
||||
>>> t.right_value
|
||||
>>> t.set_right_value(2)
|
||||
>>> t.right_value
|
||||
2
|
||||
>>> t.set_right_value(3)
|
||||
Traceback (most recent call last):
|
||||
...
|
||||
ValueError: The right branch is full, use append_top or append_bot
|
||||
>>> # potentielle source de problèmes??
|
||||
>>> t = MutableTree()
|
||||
>>> t.set_right_value([1])
|
||||
>>> t.right_value
|
||||
[1]
|
||||
>>> t.set_right_value(3)
|
||||
"""
|
||||
if self.right_value is None:
|
||||
self.right_value = value
|
||||
else:
|
||||
try:
|
||||
self.right_value.append(value)
|
||||
except AttributeError:
|
||||
raise ValueError("The right branch is full, use append_top or append_bot")
|
||||
|
||||
def append(self, value):
|
||||
""" Append the value at the bottom of the tree.
|
||||
|
||||
In order to enable operator with arity 1, left value can be set only
|
||||
before the node is set, assuming that those operator are placed before
|
||||
operand.
|
||||
|
||||
It tries to add it on left branch first.
|
||||
If it fails, the value is appened on right branch.
|
||||
|
||||
:example:
|
||||
>>> t = MutableTree()
|
||||
>>> t.append(1)
|
||||
>>> t.set_node("*")
|
||||
>>> t.append(2)
|
||||
>>> print(t)
|
||||
*
|
||||
> 1
|
||||
> 2
|
||||
>>> t.append(3)
|
||||
Traceback (most recent call last):
|
||||
...
|
||||
ValueError: The right branch is full, use append_top or append_bot
|
||||
|
||||
>>> t1 = MutableTree()
|
||||
>>> t1.append(1)
|
||||
>>> t1.set_node("*")
|
||||
>>> t2 = MutableTree()
|
||||
>>> t1.append(t2)
|
||||
>>> t1.append(2)
|
||||
>>> t2.set_node("+")
|
||||
>>> t1.append(3)
|
||||
>>> print(t1)
|
||||
*
|
||||
> 1
|
||||
> +
|
||||
| > 2
|
||||
| > 3
|
||||
|
||||
>>> t1 = MutableTree()
|
||||
>>> t1.set_node("-")
|
||||
>>> t1.append(1)
|
||||
>>> print(t1)
|
||||
-
|
||||
> None
|
||||
> 1
|
||||
"""
|
||||
if self.node is None:
|
||||
try:
|
||||
self.set_left_value(value)
|
||||
except ValueError:
|
||||
self.set_right_value(value)
|
||||
else:
|
||||
self.set_right_value(value)
|
||||
|
||||
def append_top(self, value):
|
||||
""" Append node into the tree at the top
|
||||
|
||||
:example:
|
||||
|
||||
>>> t = MutableTree("*", 1, 2)
|
||||
>>> t.append_top("+")
|
||||
>>> print(t)
|
||||
+
|
||||
> *
|
||||
| > 1
|
||||
| > 2
|
||||
> None
|
||||
"""
|
||||
|
||||
self_cp = MutableTree()
|
||||
self_cp.set_node(self.node)
|
||||
self_cp.set_left_value(self.left_value)
|
||||
self_cp.set_right_value(self.right_value)
|
||||
|
||||
self.left_value, self.node, self.right_value = self_cp, value, None
|
||||
|
||||
def append_bot(self, value):
|
||||
""" Append node into the tree at the bottom right_value
|
||||
|
||||
:example:
|
||||
|
||||
>>> t = MutableTree("*", 1, 2)
|
||||
>>> t.append_bot("+")
|
||||
>>> print(t)
|
||||
*
|
||||
> 1
|
||||
> +
|
||||
| > 2
|
||||
| > None
|
||||
"""
|
||||
|
||||
rv = self.right_value
|
||||
nright_value = MutableTree()
|
||||
nright_value.set_node(value)
|
||||
nright_value.set_left_value(rv)
|
||||
|
||||
self.right_value = nright_value
|
||||
|
||||
# -----------------------------
|
||||
# Reglages pour 'vim'
|
||||
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
|
||||
# cursor: 16 del
|
92
mapytex/calculus/core/tree_tools.py
Normal file
92
mapytex/calculus/core/tree_tools.py
Normal file
@ -0,0 +1,92 @@
|
||||
#! /usr/bin/env python
|
||||
# -*- coding: utf-8 -*-
|
||||
# vim:fenc=utf-8
|
||||
#
|
||||
# Copyright © 2017 lafrite <lafrite@Poivre>
|
||||
#
|
||||
# Distributed under terms of the MIT license.
|
||||
|
||||
"""
|
||||
Functions to manipulate trees
|
||||
"""
|
||||
|
||||
__all__ = []
|
||||
|
||||
# Functions on leaf
|
||||
|
||||
|
||||
# Functions on (op, left, right)
|
||||
|
||||
def to_nested_parenthesis(op, left, right):
|
||||
""" Get nested form for arguments
|
||||
|
||||
:exemple:
|
||||
|
||||
>>> to_nested_parenthesis('+', 3, 4)
|
||||
('+', (3, 4))
|
||||
"""
|
||||
return (op, (left, right))
|
||||
|
||||
def infix_str_concatenate(op, left, right):
|
||||
""" Concatenate arguments placing op on the middle.
|
||||
|
||||
:example:
|
||||
|
||||
>>> infix_str_concatenate('+', 1, 2)
|
||||
'1 + 2'
|
||||
"""
|
||||
return f"{left} {op} {right}"
|
||||
|
||||
def postfix_concatenate(op, left, right):
|
||||
""" Concatenate arguments placing op on the middle.
|
||||
|
||||
:example:
|
||||
|
||||
>>> postfix_concatenate('+', 1, 2)
|
||||
[1, 2, '+']
|
||||
>>> p = postfix_concatenate('+', 1, 2)
|
||||
>>> postfix_concatenate('*', p, 3)
|
||||
[1, 2, '+', 3, '*']
|
||||
>>> postfix_concatenate('*', 3, p)
|
||||
[3, 1, 2, '+', '*']
|
||||
"""
|
||||
if isinstance(left, list):
|
||||
left_tokens = left
|
||||
else:
|
||||
left_tokens = [left]
|
||||
if isinstance(right, list):
|
||||
right_tokens = right
|
||||
else:
|
||||
right_tokens = [right]
|
||||
|
||||
return left_tokens + right_tokens + [op]
|
||||
|
||||
def show_tree(op, left, right, sep = "|", node_caracter = ">"):
|
||||
""" Shape argument to make nice Tree display
|
||||
|
||||
:example:
|
||||
|
||||
>>> print(show_tree("+", 1, 2))
|
||||
+
|
||||
> 1
|
||||
> 2
|
||||
>>> t1 = show_tree("*", 1, 2)
|
||||
>>> print(show_tree("+", t1, 3))
|
||||
+
|
||||
> *
|
||||
| > 1
|
||||
| > 2
|
||||
> 3
|
||||
|
||||
"""
|
||||
node_suffix = f"\n {node_caracter} "
|
||||
leaf_suffix = f"\n {sep}"
|
||||
left_slided = leaf_suffix.join(str(left).splitlines())
|
||||
right_slided = leaf_suffix.join(str(right).splitlines())
|
||||
return node_suffix.join([op, left_slided, right_slided])
|
||||
|
||||
|
||||
# -----------------------------
|
||||
# Reglages pour 'vim'
|
||||
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
|
||||
# cursor: 16 del
|
Loading…
Reference in New Issue
Block a user