class TestTriangle(unittest.TestCase):
def setUp(self):
self.t1 = Triangle(0, 0, 6, 0, 0, 12)
self.t2 = Triangle(3, 0, 9, 0, 6, 6)
self.t3 = Triangle(Point(0, 0), Point(2, 0), Point(1, 2))
self.t4 = Triangle(Fraction(1, 2), Fraction(2, 3), Fraction(3, 4),
Fraction(4, 5), Fraction(5, 6), Fraction(6, 7))
def test_init(self):
self.assertRaises(ValueError, Triangle, 0, 0, 1, 1, 3, 3)
self.assertRaises(ValueError, Triangle, 0, 0, 1, 1, 3)
self.assertRaises(ValueError, Triangle, 0, 0, 1, 1)
self.assertRaises(ValueError, Triangle, Point(1, 1), Point(2, 2), 3)
self.assertEqual(self.t1.pt1, Point(0, 0))
self.assertEqual(self.t1.pt2, Point(6, 0))
self.assertEqual(self.t1.pt3, Point(0, 12))
self.assertEqual(self.t3.pt1, Point(0, 0))
self.assertEqual(self.t3.pt2, Point(2, 0))
self.assertEqual(self.t3.pt3, Point(1, 2))
def test_print(self):
self.assertEqual(repr(self.t1), "Triangle(0, 0, 6, 0, 0, 12)")
self.assertEqual(repr(self.t2), "Triangle(3, 0, 9, 0, 6, 6)")
self.assertEqual(repr(self.t3), "Triangle(0, 0, 2, 0, 1, 2)")
self.assertEqual(
repr(self.t4),
"Triangle(Fraction(1, 2), Fraction(2, 3), Fraction(3, 4), Fraction(4, 5), Fraction(5, 6), Fraction(6, 7))"
)
def test_cmp(self):
self.assertEqual(Triangle(), Triangle(0, 0, 1, 0, 0, 1))
self.assertTrue(self.t1 == Triangle(0, 0, 6, 0, 0, 12))
self.assertFalse(self.t1 == self.t2)
self.assertTrue(self.t1 != self.t2)
self.assertFalse(self.t1 != Triangle(0, 0, 6, 0, 0, 12))
def test_copy(self):
t3 = self.t1.copy()
self.assertEqual(t3, self.t1)
self.assertNotEqual(id(t3), id(self.t1))
def test_center(self):
self.assertEqual(self.t1.center(), Point(2, 4))
self.assertEqual(self.t2.center(), Point(6, 2))
def test_area(self):
self.assertEqual(self.t1.area(), 36)
self.assertEqual(self.t2.area(), 18)
def test_move(self):
self.assertEqual(self.t1.move(1, 2), Triangle(1, 2, 7, 2, 1, 14))
self.assertEqual(self.t1.move(Point(1, 2)),
Triangle(1, 2, 7, 2, 1, 14))
self.assertRaises(ValueError, Triangle.move, self.t1, 1)
def test_make3(self):
t1 = Triangle(0, 0, 6, 0, 2, 4)
t2 = Triangle(6, 0, 0, 12, 2, 4)
t3 = Triangle(0, 12, 0, 0, 2, 4)
result = self.t1.make3()
self.assertTrue(t1 in result)
self.assertTrue(t2 in result)
self.assertTrue(t3 in result)
def test_make4(self):
t1 = Triangle(0, 0, 3, 0, 0, 6)
t2 = Triangle(6, 0, 3, 6, 3, 0)
t3 = Triangle(0, 12, 0, 6, 3, 6)
t4 = Triangle(3, 0, 3, 6, 0, 6)
result = self.t1.make4()
self.assertTrue(t1 in result)
self.assertTrue(t2 in result)
self.assertTrue(t3 in result)
self.assertTrue(t4 in result)
def test_hash(self):
aset = set()
aset.add(self.t1)
aset.add(self.t1) # ignored
self.assertEqual(len(aset), 1)
aset.add(self.t2)
self.assertEqual(len(aset), 2)
def test_contains(self):
self.assertTrue(Point(2, 2) in self.t1)
self.assertTrue(Point(4, 4) in self.t1)
self.assertTrue(Point(3, 0) in self.t1)
self.assertTrue(Point(0, 8) in self.t1)
self.assertFalse(Point(6, 6) in self.t1)
self.assertFalse(Point(7, 0) in self.t1)
self.assertFalse(Point(0, 13) in self.t1)
self.assertRaises(ValueError, Triangle.__contains__, self.t1, 1)
# segment in tringle
self.assertTrue(Segment(1, 1, 2, 2) in self.t1)
self.assertFalse(Segment(1, 1, 6, 6) in self.t1)
def test_orientation(self):
self.assertEqual(self.t1.orientation(), 1)
self.assertEqual(Triangle(0, 0, 1, 1, 1, 0).orientation(), -1)
def test_gnu(self):
s1 = 'set label "" at 0.0,0.0 point pt 7 ps 0.5\n'
s2 = 'set label "" at 6.0,0.0 point pt 7 ps 0.5\n'
s3 = 'set label "" at 0.0,12.0 point pt 7 ps 0.5\n'
s4 = 'set arrow from 0.0,0.0 to 6.0,0.0 nohead\n'
s5 = 'set arrow from 0.0,0.0 to 0.0,12.0 nohead\n'
s6 = 'set arrow from 6.0,0.0 to 0.0,12.0 nohead\n'
self.assertEqual(self.t1.gnu(True), s1 + s2 + s3 + s4 + s5 + s6)
def test_third_node(self):
p1 = Point(0, 0)
p2 = Point(6, 0)
p3 = Point(0, 12)
self.assertEqual(self.t1.third_node(p1, p2), p3)
self.assertEqual(self.t1.third_node(p1, p3), p2)
self.assertEqual(self.t1.third_node(p3, p2), p1)
self.assertRaises(KeyError, Triangle.third_node, self.t1, p1,
Point(1, 1))
def test_in_circumcircle(self):
# Srodek okregu opisanego na t1 jest w Point(3, 6).
self.assertTrue(self.t1.in_circumcircle(Point(1, 1)))
self.assertTrue(self.t1.in_circumcircle(Point(6, 11)))
self.assertFalse(self.t1.in_circumcircle(Point(7, 0)))
def test_circumcenter(self):
self.assertEqual(self.t1.circumcenter(), Point(3, 6))
self.assertEqual(self.t2.circumcenter(), Point(6, Fraction(9, 4)))
self.assertEqual(self.t3.circumcenter(), Point(1, Fraction(3, 4)))
def test_iterpoints(self):
L = list(self.t1.iterpoints())
self.assertEqual(L[0], self.t1.pt1)
self.assertEqual(L[1], self.t1.pt2)
self.assertEqual(L[2], self.t1.pt3)
def test_itersegments(self):
L = list(self.t1.itersegments())
self.assertTrue(Segment(0, 0, 6, 0) in L)
self.assertTrue(Segment(0, 0, 0, 12) in L)
self.assertTrue(Segment(0, 12, 6, 0) in L)
def test_itersegments_oriented(self):
L = list(self.t1.itersegments_oriented())
self.assertTrue(Segment(6, 0, 0, 0) in L)
self.assertTrue(Segment(0, 0, 0, 12) in L)
self.assertTrue(Segment(0, 12, 6, 0) in L)
def tearDown(self):
pass
import Gnuplot # Python 2 only
from planegeometry.structures.points import Point
from planegeometry.structures.segments import Segment
from planegeometry.structures.rectangles import Rectangle
from planegeometry.structures.triangles import Triangle
from planegeometry.structures.circles import Circle
gnu = Gnuplot.Gnuplot(persist=1)
visible = True
rectangle = Rectangle(0.1, 0.3, 0.9, 0.7)
gnu(rectangle.gnu(visible))
triangle = Triangle(0.2, 0.2, 0.8, 0.4, 0.6, 0.8)
gnu(triangle.gnu(visible))
circle = Circle(0.4, 0.6, 0.2)
gnu(circle.gnu(visible))
# Wyswietlenie grafu.
gnu('set terminal pdf enhanced')
gnu('set output "random_figures.pdf"')
gnu('set grid')
gnu('unset key')
gnu('set size square')
#gnu('unset border')
#gnu('unset tics')
gnu('set xlabel "x"')
gnu('set ylabel "y"')
gnu('set title "Random figures"')