Mapytex/mapytex/calculus/API/expression.py

#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
# Copyright © 2017 lafrite <lafrite@Poivre>
#
# Distributed under terms of the MIT license.

"""
Expression

"""
from ..core import AssocialTree, Tree, compute, typing, TypingError
from .renders import renders

class Expression(object):

    """
    Expression class

    :example:

    >>> e = Expression.from_str("2+3*4")
    >>> e2 = e.simplify()
    >>> print(e2)
    14
    >>> for s in e2.explain():
    ...    print(s)
    2 + 3 * 4
    2 + 12
    14
    """

    RENDER = 'txt'

    def __init__(self, tree, ancestor=None):
        """
        """
        self._tree = tree
        self._ancestor = ancestor

    @classmethod
    def from_str(cls,  string):
        """ Initiate the expression from a string

        :param string: String to parse to generate the Expression
        :returns: the expression

        """
        t = Tree.from_str(string)
        return cls(t)

    @classmethod
    def random(self, template, conditions = [], shuffle = False):
        """ Initiate randomly the expression 

        :param template: the template of the expression
        :param conditions: conditions on randomly generate variable
        :param shuffle: allowing to shuffle the tree
        :returns: TODO

        """
        pass

    @classmethod
    def set_render(cls, render):
        """ Define default render function 

        :param render: render function Tree -> str

        :example:
        >>> Expression.RENDER
        'txt'
        >>> e = Expression.from_str("2+3*4")
        >>> print(e)
        2 + 3 * 4
        >>> Expression.set_render('tex')
        >>> Expression.RENDER
        'tex'
        >>> print(e)
        2 + 3 \\times 4
        """
        cls.RENDER = render

    def __str__(self):
        return renders[self.RENDER](self._tree)

    def __repr__(self):
        return f"<Exp: {renders[self.RENDER](self._tree)}>"

    def simplify(self, optimize=True):
        """ Compute as much as possible the expression

        :param optimize: bool to optimize tree when it's possible
        :return: an expression

        :example:
        >>> e = Expression.from_str("2+3*4")
        >>> e
        <Exp: 2 + 3 \\times 4>
        >>> f = e.simplify()
        >>> f
        <Exp: 14>
        >>> f._ancestor
        <Exp: 2 + 12>
        """
        t = self._tree
        if optimize:
            try:
                # TODO: need to test exclude_nodes |ven. oct.  5 08:51:02 CEST 2018
                t = t.balance(
                    exclude_nodes=["\\", "**"]
                                   )
            except AttributeError:
                pass

        more_typing = 1
        while more_typing:
            try:
                t = t.apply_on_last_level(typing)
            except TypingError:
                more_typing = 0
            except NotImplementedError:
                more_typing = 0
            except AttributeError:
                more_typing = 0

        try:
            t = t.apply_on_last_level(compute)
        except AttributeError:
            return self
        else:
            e = Expression(t, ancestor=self)
            return e.simplify(optimize=optimize)

    def explain(self):
        """ Yield every calculus step which have lead to self
        
        :example:
        >>> e = Expression.from_str("2+3*4")
        >>> f = e.simplify()
        >>> for s in f.explain():
        ...     print(s)
        2 + 3 * 4
        2 + 12
        14
        >>> e = Expression.from_str("1+2+3+4+5+6+7+8+9")
        >>> f = e.simplify()
        >>> for s in f.explain():
        ...     print(s)
        1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9
        3 + 3 + 9 + 6 + 7 + 17
        6 + 9 + 6 + 24
        15 + 30
        45
        >>> e = Expression.from_str("1+2+3+4+5+6+7+8+9")
        >>> f_no_balance = e.simplify(optimize=False)
        >>> for s in f_no_balance.explain():
        ...     print(s)
        1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9
        3 + 3 + 4 + 5 + 6 + 7 + 8 + 9
        6 + 4 + 5 + 6 + 7 + 8 + 9
        10 + 5 + 6 + 7 + 8 + 9
        15 + 6 + 7 + 8 + 9
        21 + 7 + 8 + 9
        28 + 8 + 9
        36 + 9
        45
        >>> e = Expression.from_str("1+2+3+4+5*6*7*8*9")
        >>> f = e.simplify()
        >>> for s in f.explain():
        ...     print(s)
        1 + 2 + 3 + 4 + 5 * 6 * 7 * 8 * 9
        3 + 3 + 4 + 30 * 7 * 72
        6 + 4 + 210 * 72
        10 + 15120
        15130
        >>> e = Expression.from_str("1+2+3+4+5*6*7*8*9")
        >>> f_no_balance = e.simplify(optimize=False)
        >>> for s in f_no_balance.explain():
        ...     print(s)
        1 + 2 + 3 + 4 + 5 * 6 * 7 * 8 * 9
        3 + 3 + 4 + 30 * 7 * 8 * 9
        6 + 4 + 210 * 8 * 9
        10 + 1680 * 9
        10 + 15120
        15130
        >>> e = Expression.from_str("1+2/3/4/5")
        >>> f = e.simplify()
        >>> for s in f.explain():
        ...     print(s)
        1 + 2 / 3 / 4 / 5
        1 + (2 / 3 * 1 / 4) / 5
        1 + (2 * 1) / (3 * 4) / 5
        1 + 2 / 12 / 5
        1 + 2 / 12 * 1 / 5
        1 + (2 * 1) / (12 * 5)
        1 + 2 / 60
        1 / 1 + 2 / 60
        (1 * 60) / (1 * 60) + 2 / 60
        60 / 60 + 2 / 60
        (60 + 2) / 60
        62 / 60
        """
        try:
            yield from self._ancestor.explain()
        except AttributeError:
            yield self
        else:
            yield self

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