# -*- coding: utf-8 -*-
# Mathmaker creates automatically maths exercises sheets
# with their answers
# Copyright 2006-2017 Nicolas Hainaux <nh.techn@gmail.com>
# This file is part of Mathmaker.
# Mathmaker is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 3 of the License, or
# any later version.
# Mathmaker is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
# You should have received a copy of the GNU General Public License
# along with Mathmaker; if not, write to the Free Software
# Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
from mathmakerlib import required
from mathmaker.lib import shared
from mathmaker.lib.tools.wording import setup_wording_format_of
from mathmaker.lib.core.base_calculus import Item, Product, Quotient
from mathmaker.lib.core.calculus import Equality
from mathmaker.lib.document.content import component
[docs]class sub_object(component.structure):
def __init__(self, build_data, picture='true', **options):
super().setup("minimal", **options)
if build_data[0] < 11:
raise ValueError('build_data[0] == {} whereas it should be '
'>= 11'.format(str(build_data[0])))
build_data = (build_data[0] / 10, ) + build_data[1:]
super().setup("numbers", nb=build_data,
shuffle_nbs=False, **options)
super().setup("length_units", **options)
super().setup("intercept_theorem_figure",
butterfly=True,
**options)
self.figure.setup_labels([True, False, True, True, False, True],
segments_list=self.figure.small
+ self.figure.side)
self.line1 = self.figure.small[1].length_name
self.line2 = self.figure.side[1].length_name
self.wording = _('The drawn figure is out of shape. {newline} '
'The lengths are given in {length_unit}. '
'{newline} {newline} '
'Prove that {line1} is parallel to {line2}.')
setup_wording_format_of(self)
self.ratio1 = shared.machine.write_math_style1(Equality([
Quotient(('+', self.figure.small[0].length_name,
self.figure.side[0].length_name)),
Quotient(('+', self.figure.small[0].length,
self.figure.side[0].length))]
).printed)
self.ratio2 = shared.machine.write_math_style1(Equality([
Quotient(('+', self.figure.small[2].length_name,
self.figure.side[2].length_name)),
Quotient(('+', self.figure.small[2].length,
self.figure.side[2].length))]
).printed)
self.crossproduct = shared.machine.write_math_style1(Equality([
Quotient(('+',
Product([Item(self.figure.small[0].length),
Item(self.figure.side[2].length)]),
Item(self.figure.side[0].length))),
Item(self.figure.small[2].length)]
).printed)
self.equal_ratios = shared.machine.write_math_style1(
self.figure.ratios_for_converse().into_str())
ans_variant = options.get('ans_variant', 'default')
if ans_variant == 'default':
required.package['array'] = True
ans_texts = {
'default': _('\\begin{tabular}{ll}'
'We have: & '
'{main_vertex_name} {belongs_to} {chunk0_length_name}'
' \\\\ '
' & '
'{main_vertex_name} {belongs_to} {chunk1_length_name}'
' \end{tabular}'),
'alternative2': _('{vertex1_name}, {main_vertex_name} and '
'{point0_name} on one hand, '
'{vertex2_name}, {main_vertex_name} and '
'{point1_name} on the other hand,'
'are aligned in the same order. ')
}
ratios = _('\\begin{multicols}{2} '
'On one hand: {ratio1} '
'and on the other hand: {ratio2} '
'\end{multicols} '
'ans as: {crossproduct} '
'then: {equal_ratios} {newline} ')
required.package['multicol'] = True
conclusion = _('Hence by the converse of the intercept theorem, '
'{line1} is parallel to {line2}.')
self.answer_wording = ans_texts[ans_variant] + ratios + conclusion
setup_wording_format_of(self, w_prefix='answer_')
[docs] def q(self, **options):
return shared.machine.write_layout(
(1, 2),
[10, 10],
[self.wording.format(**self.wording_format),
shared.machine.insert_picture(self.figure,
scale=0.7,
top_aligned_in_a_tabular=True)])
[docs] def a(self, **options):
return self.answer_wording.format(**self.answer_wording_format)
# TODO: create the "js" answer (for interactive pdf)
# def js_a(self, **kwargs):
# return [self......jsprinted]