# -*- 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 math import gcd
#
from mathmaker.lib import shared
from mathmaker.lib.tools import fix_math_style2_fontsize
from mathmaker.lib.tools.maths import prime_factors
from mathmaker.lib.core.base_calculus import Item, Fraction
from mathmaker.lib.document.content import component
[docs]class sub_object(component.structure):
def __init__(self, build_data, **options):
if len(build_data) == 3:
build_data = build_data[0:2] \
+ (build_data[0], ) + (build_data[2], )
super().setup('minimal', **options)
super().setup('numbers', nb=build_data, shuffle_nbs=False,
**options)
# nb3 * nb4 will be the greatest product
if self.nb1 * self.nb2 > self.nb3 * self.nb4:
self.nb1, self.nb2, self.nb3, self.nb4 = \
self.nb3, self.nb4, self.nb1, self.nb2
self.transduration = 12
if self.nb3 * self.nb4 > 25:
self.transduration = 20
if self.nb3 * self.nb4 > 40:
self.transduration = 30
super().setup('rectangle_grid', **options)
self.wording = _('Which fraction of the figure matches '
'the greyed part?')
self.fraction = f = Fraction(('+',
Item(self.nb1 * self.nb2),
Item(self.nb3 * self.nb4)))
if f.is_reducible():
f1 = f.minimally_reduced(ignore_1_denominator=True)
if f1.is_reducible():
f2 = f1.minimally_reduced(ignore_1_denominator=True)
lpcd = prime_factors(gcd(int(f.numerator.evaluate()),
int(f.denominator.evaluate())))
if f2.is_reducible():
self.answer_wording = _('{} (or {}, or {}...)') \
.format(shared.machine.write_math_style2(f.printed),
shared.machine.write_math_style2(f1.printed),
shared.machine.write_math_style2(f2.printed))
elif lpcd[0] != lpcd[1]:
f3 = f.reduced_by(lpcd[1], ignore_1_denominator=True)
self.answer_wording = _('{} (or {}, or {}, or {})') \
.format(shared.machine.write_math_style2(f.printed),
shared.machine.write_math_style2(f1.printed),
shared.machine.write_math_style2(f3.printed),
shared.machine.write_math_style2(f2.printed))
else:
self.answer_wording = _('{} (or {}, or {})') \
.format(shared.machine.write_math_style2(f.printed),
shared.machine.write_math_style2(f1.printed),
shared.machine.write_math_style2(f2.printed))
else:
self.answer_wording = _('{} (or {})') \
.format(shared.machine.write_math_style2(f.printed),
shared.machine.write_math_style2(f1.printed))
self.answer_wording = fix_math_style2_fontsize(self.answer_wording)
else:
self.answer_wording = shared.machine.write_math_style2(f.printed)
self.answer_wording = fix_math_style2_fontsize(self.answer_wording)
[docs] def q(self, **options):
if options.get('x_layout_variant', 'default') == 'slideshow':
return shared.machine.insert_picture(self.rectangle_grid,
scale=0.4) \
+ '\n' + self.wording
else:
return shared.machine.write_layout(
(1, 2),
[5, 8],
[shared.machine.insert_picture(
self.rectangle_grid,
scale=0.4,
vertical_alignment_in_a_tabular=True),
self.wording])
[docs] def a(self, **options):
# This is actually meant for self.preset == 'mental calculation'
return self.answer_wording
[docs] def js_a(self, **kwargs):
f = self.fraction.completely_reduced().jsprinted
return [f, 'any_fraction == ' + f]