145 lines
2.9 KiB
Python
145 lines
2.9 KiB
Python
#! /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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Generate and compute like a student!
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:example:
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>>> e = Expression.from_str("2+3*4")
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>>> e_simplified = e.simplify()
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>>> print(e_simplified)
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14
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>>> for s in e_simplified.explain():
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... print(s)
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2 + 3 * 4
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2 + 12
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14
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>>> e = Expression.from_str("2+3/2")
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>>> e_simplified = e.simplify()
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>>> print(e_simplified)
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7 / 2
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>>> for s in e_simplified.explain():
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... print(s)
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2 + 3 / 2
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2 / 1 + 3 / 2
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(2 * 2) / (1 * 2) + 3 / 2
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4 / 2 + 3 / 2
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(4 + 3) / 2
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7 / 2
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>>> e = Expression.from_str("(2+3)/2 + 1")
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>>> e_simplified = e.simplify()
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>>> print(e_simplified)
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7 / 2
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>>> for s in e_simplified.explain():
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... print(s)
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(2 + 3) / 2 + 1
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5 / 2 + 1
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5 / 2 + 1 / 1
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5 / 2 + (1 * 2) / (1 * 2)
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5 / 2 + 2 / 2
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(5 + 2) / 2
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7 / 2
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>>> e = Expression.from_str("(2/3)^4")
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>>> e_simplified = e.simplify()
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>>> print(e_simplified)
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16 / 81
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>>> for s in e_simplified.explain():
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... print(s)
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(2 / 3)^4
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2^4 / 3^4
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16 / 81
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>>> e = Expression.from_str("x^2*x*x^4")
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>>> e_simplified = e.simplify()
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>>> e_simplified
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<Polynomial x^7>
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>>> for s in e_simplified.explain():
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... print(s)
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x^2 * x * x^4
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x^3 * x^4
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x^(3 + 4)
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x^7
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>>> e = Expression.from_str("2x+2+3x")
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>>> e_simplified = e.simplify()
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>>> e_simplified
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<Linear 5x + 2>
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>>> for s in e_simplified.explain():
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... print(s)
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2x + 2 + 3x
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2x + 3x + 2
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(2 + 3) * x + 2
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5x + 2
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>>> e = Expression.from_str("1+2x^2+3x+4+5x")
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>>> e_simplified = e.simplify()
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>>> e_simplified
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<Quadratic 2x^2 + 8x + 5>
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>>> for s in e_simplified.explain():
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... print(s)
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1 + 2x^2 + 3x + 4 + 5x
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2x^2 + 3x + 1 + 4 + 5x
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2x^2 + 3x + 5x + 1 + 4
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2x^2 + (3 + 5) * x + 5
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2x^2 + 8x + 5
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>>> e = Expression.from_str("(2x+3)^2")
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>>> e_simplified = e.simplify()
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>>> e_simplified
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<Quadratic 4x^2 + 12x + 9>
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>>> for s in e_simplified.explain():
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... print(s)
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(2x + 3)^2
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(2x + 3)(2x + 3)
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2x * 2x + 2x * 3 + 3 * 2x + 3 * 3
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2 * 2 * x^(1 + 1) + 3 * 2 * x + 3 * 2 * x + 9
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6x + 6x + 4x^2 + 9
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(6 + 6) * x + 4x^2 + 9
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4x^2 + 12x + 9
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>>> e = Expression.from_str("(2x-3)(-x+2)")
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>>> e_simplified = e.simplify()
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>>> e_simplified
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<Quadratic - 2x^2 + 7x - 6>
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>>> for s in e_simplified.explain():
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... print(s)
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(2x - 3)(- x + 2)
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(2x - 3)(- x + 2)
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2x(- x) + 2x * 2 - 3(- x) - 3 * 2
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2(- 1) * x^(1 + 1) + 2 * 2 * x - 3(- 1) * x - 6
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4x + 3x - 2x^2 - 6
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(4 + 3) * x - 2x^2 - 6
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- 2x^2 + 7x - 6
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"""
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from .renders import render
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from .expression import Expression
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from .tokens import Token
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from .tokens.polynomial import Polynomial
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from .tokens.number import Integer, Decimal, Fraction
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if __name__ == "__main__":
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e = Expression.from_str("(2x-3)(-x+2)")
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e_simplified = e.simplify()
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e_simplified
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for s in e_simplified.explain():
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print(s._tree.map_on_leaf(lambda x: type(x)))
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print(s)
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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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