def test_negative(self):
e = Equation(-1)
self.assertEqual(str(e), '-1')
e = Equation()
e.create_negation(-1)
self.assertEqual(str(e), '-(-1)')
e = Equation(-1)
e.create_negation(-1)
self.assertEqual(str(e), '-(-(-1))')
def test_division(self):
e = Equation()
e.create_division(-1, Element('1/2'))
self.assertEqual(str(e), '1/2 : 1/2')
e = Equation(Element('2/3'))
e.create_division(-1, Element('1/2'))
self.assertEqual(str(e), '1/3 : 1/2')
e = Equation(Element('5/3'))
e.create_division(-1, Element(2))
self.assertEqual(str(e), '3 1/3 : 2')
def test_multiplication(self):
e = Equation()
e.create_multiplication(-1, Element(2))
self.assertEqual(str(e), '1/2 * 2')
e = Equation()
e.create_multiplication(-1, Element(-2))
self.assertEqual(str(e), '(-1/2) * (-2)')
e = Equation(1)
e.create_multiplication(-1, Element(3, 2))
self.assertEqual(str(e), '2/3 * 1 1/2')
e = Equation(1)
e.create_multiplication(-1, Element('-3/2'))
self.assertEqual(str(e), '(-2/3) * (-1 1/2)')
def test_sum_equation(self):
e = Equation()
for i in range(5):
x = e.element(-1)
e.create_sum(-1, x / 2)
s = str(e)
self.assertEqual(s, '1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/32')
def test_negation(self):
e = Equation()
x = e.element(-1)
e.create_sub(-1, x / 2)
e.create_negation(-1)
self.assertEqual(str(e), '1 1/2 + (-1/2)')
e.create_negation(-1)
self.assertEqual(str(e), '1 1/2 - (-(-1/2))')
def test_complication(self):
e = Equation(1)
for m, n, x, y in [[0, 4, 1, 5], [1, 3, 1, 5], [1, 2, 1, 4]]:
e.complicate(m, n, x, y)
self.assertEqual(str(e), '1/5 : ((-1) * 1/5)')
e = Equation(1)
tab = [[0, 3, 1, 5], [1, 0, 1, 9], [0, 4, 1, 6], [1, 0, 1, 2],
[0, 1, 1, 9], [5, 0, 1, 5], [3, 3, 1, 9], [1, 0, 1, 3]]
for m, n, x, y in tab:
e.complicate(m, n, x, y)
e.tab = e.tab[0][0]
e.tab[1] = Element(1)
self.assertEqual(str(e), '17/18 - (-2/9 + 1/3) : 1')
self.assertEqual(str(e), '17/18 - (-2/9 + 1/3)')
e.tab = e.tab[0]
print(e)
def test_sub_equation(self):
e = Equation()
x = e.element(-1)
e.create_sub(-1, x / 2)
self.assertEqual(str(e), '1 1/2 - 1/2')
x = e.element(-1)
e.create_sub(-1, x / 2)
self.assertEqual(str(e), '1 1/2 - (3/4 - 1/4)')
x = e.element(-1)
e.create_sub(-1, x / 2)
self.assertEqual(str(e), '1 1/2 - (3/4 - (3/8 - 1/8))')
def run_balance():
"""
Runs the chemical equation balance algorithm
"""
print('=================================================')
print(
'Insert chemical equation with element followed by the number of atoms:'
)
print('Example: H2 + O2 => H2O')
user_input = input('>>> ')
try:
equation = Equation(user_input)
print('Balanced equation: ' + equation.equation_balancer())
# sleep(3)
# run_balance()
except IndexError:
print('Invalid input...')
def solve(self):
"""Returns the solution to this system of equation."""
if self.is_compatible() is False:
return None
if self.get_number_of_solutions() == 'Infinitely many solutions':
raise InfinitelySolutionsError
x_coefficient = str(
num(self.linear_2.x_coefficient) -
num(self.linear_1.x_coefficient))
x_coefficient = '' if x_coefficient == '1' else x_coefficient
equation = x_coefficient + 'x' + '=' + str(
self.linear_1.y_intercept) + '-' + str(self.linear_2.y_intercept)
x_value = Equation(equation).solve()
return self.linear_1.get_point(x_value)
from fractions import Element
from equations import Equation
from random import randint
print(r'\documentclass[8pt]{article}')
print(r'\usepackage[utf8]{inputenc}')
print(r'\usepackage{polski}')
print(r'\usepackage{amsmath}')
print(r'\begin{document}')
N = 15
for _ in range(100):
print(r'\begin{align}')
for i in range(N):
e = Equation()
# print('[')
for j in range(5):
m, n, x, y = randint(0, len(e) - 1), randint(0, 4), 1, randint(2, 10)
e.complicate(m, n, x, y)
if i < N - 1:
print(e.tex(), r'\\')
else:
print(e.tex())
print(r'\end{align}')
print(r'\end{document}')
