Mapytex/mapytex/calculus/core/renders/tree2tex.py

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#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
# Copyright © 2017 lafrite <lafrite@Poivre>
#
# Distributed under terms of the MIT license.
from mapytex.calculus.core.operator import OPERATORS
__all__ = ['tree2tex']
def plus2tex(left, right):
r""" + rendering
>>> from ..MO import mo
>>> plus2tex(mo.MOnumber(2), mo.MOnumber(3))
'2 + 3'
>>> from ..tree import Tree
>>> t = Tree.from_str("1+2")
>>> plus2tex(t, mo.MOnumber(3))
'1 + 2 + 3'
>>> plus2tex(t, mo.MOnumber(-3))
'1 + 2 - 3'
>>> plus2tex(mo.MOnumber(-3), t)
'- 3 + 1 + 2'
>>> t = Tree.from_str("-2*3")
>>> plus2tex(mo.MOnumber(3), t)
'3 - 2 \\times 3'
"""
display_plus = True
try:
left.node
except AttributeError:
left_ = left.__tex__
else:
left_ = tree2tex(left)
try:
right.node
except AttributeError:
right_ = right.__tex__
else:
right_ = tree2tex(right)
finally:
if right_.startswith("-"):
display_plus = False
if display_plus:
return f"{left_} + {right_}"
return f"{left_} {right_}"
def minus2tex(left, right):
r""" - rendering
>>> from ..MO import mo
>>> minus2tex(None, mo.MO(3))
'- 3'
>>> from ..tree import Tree
>>> t = Tree.from_str("1+2")
>>> minus2tex(None, t)
'- (1 + 2)'
"""
try:
right_need_parenthesis = False
if OPERATORS[right.node]["precedence"] < OPERATORS['-']["precedence"]:
right_need_parenthesis = True
except AttributeError:
right_ = right.__tex__
else:
if right_need_parenthesis:
right_ = f"({tree2tex(right)})"
else:
right_ = tree2tex(right)
return f"- {right_}"
def mul2tex(left, right):
r""" * rendering
>>> from ..MO import mo
>>> mul2tex(mo.MO(2), mo.MO(3))
'2 \\times 3'
>>> from ..tree import Tree
>>> t = Tree.from_str("1*2")
>>> mul2tex(t, mo.MO(3))
'1 \\times 2 \\times 3'
>>> t = Tree.from_str("1+2")
>>> mul2tex(t, mo.MO(3))
'(1 + 2) \\times 3'
>>> mul2tex(mo.MO(3), t)
'3(1 + 2)'
>>> a = mo.MOstr('x')
>>> mul2tex(mo.MO(3), a)
'3x'
>>> mul2tex(a, a)
'x \\times x'
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"""
display_time = True
try:
left_need_parenthesis = False
if OPERATORS[left.node]["precedence"] < OPERATORS['*']["precedence"]:
left_need_parenthesis = True
except AttributeError:
left_ = left.__tex__
else:
if left_need_parenthesis:
left_ = f"({tree2tex(left)})"
else:
left_ = tree2tex(left)
try:
right_need_parenthesis = False
if OPERATORS[right.node]["precedence"] < OPERATORS['*']["precedence"]:
right_need_parenthesis = True
except AttributeError:
right_ = right.__tex__
else:
if right_need_parenthesis:
display_time = False
right_ = f"({tree2tex(right)})"
else:
right_ = tree2tex(right)
finally:
if right_[0].isalpha() and (left_.isnumeric() or left_.isdecimal()):
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display_time = False
if display_time:
return f"{left_} \\times {right_}"
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return f"{left_}{right_}"
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def div2tex(left, right):
r""" / rendering
>>> from ..MO import mo
>>> div2tex(mo.MO(2), mo.MO(3))
'\\frac{2}{3}'
>>> from ..tree import Tree
>>> t = Tree.from_str("1/2")
>>> div2tex(t, mo.MO(3))
'\\frac{\\frac{1}{2}}{3}'
>>> t = Tree.from_str("1+2")
>>> div2tex(t, mo.MO(3))
'\\frac{1 + 2}{3}'
>>> t = Tree.from_str("1*2")
>>> div2tex(mo.MO(3), t)
'\\frac{3}{1 \\times 2}'
"""
try:
left_ = tree2tex(left)
except AttributeError:
left_ = left.__tex__
try:
right_ = tree2tex(right)
except AttributeError:
right_ = right.__tex__
return "\\frac{" + left_ + "}{" + right_ + "}"
def pow2tex(left, right):
r""" ^ rendering
>>> from ..MO import mo
>>> pow2tex(mo.MO(2), mo.MO(3))
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'2^{3}'
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>>> from ..tree import Tree
>>> t = Tree.from_str("1^2")
>>> pow2tex(t, mo.MO(3))
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'1^{2}^{3}'
>>> t = Tree.from_str("1^2")
>>> pow2tex(mo.MO(3), t)
'3^{1^{2}}'
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>>> t = Tree.from_str("1+2")
>>> pow2tex(t, mo.MO(3))
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'(1 + 2)^{3}'
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>>> t = Tree.from_str("1*2")
>>> pow2tex(mo.MO(3), t)
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'3^{1 \\times 2}'
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"""
try:
left_need_parenthesis = False
if OPERATORS[left.node]["precedence"] < OPERATORS['^']["precedence"]:
left_need_parenthesis = True
except AttributeError:
left_ = left.__tex__
else:
if left_need_parenthesis:
left_ = f"({tree2tex(left)})"
else:
left_ = tree2tex(left)
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try:
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right.node
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except AttributeError:
right_ = right.__tex__
else:
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right_ = tree2tex(right)
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return f"{left_}^{{{right_}}}"
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OPERATOR2TEX = {
"+": plus2tex,
"-": minus2tex,
"*": mul2tex,
"/": div2tex,
"^": pow2tex,
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}
def tree2tex(tree):
r""" Convert a tree into its tex version
It calls __tex__ to render MOs.
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:param tree: tree to render
:example:
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>>> from ..tree import Tree
>>> t = Tree.from_str("2+3*4")
>>> tree2tex(t)
'2 + 3 \\times 4'
"""
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return OPERATOR2TEX[tree.node](tree.left_value, tree.right_value)
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# -----------------------------
# Reglages pour 'vim'
# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
# cursor: 16 del