def test_init():
p = Point(0, 0)
assert p.x == 0
assert p.y == 0
assert p.geometry == None
assert_raises(TypeError, Point, Rational(0), 0)
def test_init_from_int():
r1 = Rational(1)
assert r1.num == 1
assert r1.den == 1
r1 = Rational(10)
assert r1.num == 10
assert r1.den == 1
r1 = Rational(-1)
assert r1.num == -1
assert r1.den == 1
r1 = Rational(0)
assert r1.num == 0
assert r1.den == 1
def test_init_from_pair():
r1 = Rational(1, 1)
assert r1.num == 1
assert r1.den == 1
r1 = Rational(10, 1)
assert r1.num == 10
assert r1.den == 1
r1 = Rational(-1, 1)
assert r1.num == -1
assert r1.den == 1
r1 = Rational(0, 1)
assert r1.num == 0
assert r1.den == 1
r1 = Rational(-1, -1)
assert r1.num == 1
assert r1.den == 1
r1 = Rational(-10, -2)
assert r1.num == 5
assert r1.den == 1
r1 = Rational(10, -3)
assert r1.num == -10
assert r1.den == 3
def test_sub():
r1 = Rational(5)
r2 = Rational(10)
assert r1 - r2 == Rational(-5)
assert r1 - r2 == -5
assert 5 - r2 == Rational(-5)
assert 5 - r2 == -5
assert r1 - 10 == Rational(-5)
assert r1 - 10 == -5
r1 = Rational(3, 2)
r2 = Rational(5, 3)
assert r1 - r2 == Rational(-1, 6)
assert r2 - r1 == Rational(1, 6)
assert r1 - r1 == 0
assert r1 - r1 == Rational(0)
assert r1 - r1 == Rational(0, 1)
assert r2 - r2 - r2 == -r2
assert r2 - r2 - r2 == Rational(-5, 3)
assert r2 - r2 - r2 == Rational(-15, 9)
assert_raises(TypeError, r1.__sub__, None)
assert_raises(TypeError, r1.__sub__, 5.5)
assert_raises(TypeError, r1.__rsub__, None)
assert_raises(TypeError, r1.__rsub__, 5.5)
def test_add():
r1 = Rational(5)
r2 = Rational(10)
assert r1 + r2 == Rational(15)
assert r1 + r2 == 15
assert 5 + r2 == Rational(15)
assert 5 + r2 == 15
assert r1 + 10 == Rational(15)
assert r1 + 10 == 15
r1 = Rational(3, 2)
r2 = Rational(5, 3)
assert r1 + r2 == Rational(19, 6)
assert r2 + r1 == Rational(19, 6)
assert r1 + r1 == 3
assert r1 + r1 == Rational(3)
assert r1 + r1 == Rational(6, 2)
assert r2 + r2 + r2 == 5
assert r2 + r2 + r2 == Rational(5)
assert r2 + r2 + r2 == Rational(15, 3)
assert_raises(TypeError, r1.__add__, None)
assert_raises(TypeError, r1.__add__, 5.5)
assert_raises(TypeError, r1.__radd__, None)
assert_raises(TypeError, r1.__radd__, 5.5)
def test_eq():
r1 = Rational(5, 3)
assert r1 == r1
assert_raises(TypeError, r1.__eq__, 5.0)
assert_raises(TypeError, r1.__eq__, "fail")
assert_raises(TypeError, r1.__eq__, None)
def test_div():
r2 = Rational(10)
r1 = Rational(5)
assert r1 / r2 == Rational(1, 2)
assert 10 / r2 == Rational(1)
assert 10 / r2 == 1
assert r1 / 5 == Rational(1)
assert r1 / 5 == 1
r1 = Rational(3, 2)
r2 = Rational(5, 3)
assert r1 / r2 == Rational(9, 10)
assert r2 / r1 == Rational(10, 9)
assert 1 / r1 == Rational(2, 3)
assert r1 / r1 == Rational(1)
assert r2 / r2 / r2 == Rational(3, 5)
assert_raises(TypeError, r1.__div__, None)
assert_raises(TypeError, r1.__div__, 5.5)
assert_raises(TypeError, r1.__rdiv__, None)
assert_raises(TypeError, r1.__rdiv__, 5.5)
def test_mul():
r1 = Rational(5)
r2 = Rational(10)
assert r1 * r2 == Rational(50)
assert r1 * r2 == 50
assert 5 * r2 == Rational(50)
assert 5 * r2 == 50
assert r1 * 10 == Rational(50)
assert r1 * 10 == 50
r1 = Rational(3, 2)
r2 = Rational(5, 3)
assert r1 * r2 == Rational(5, 2)
assert r2 * r1 == Rational(5, 2)
assert r1 * r1 == Rational(9, 4)
assert r2 * r2 * r2 == Rational(125, 27)
assert_raises(TypeError, r1.__mul__, None)
assert_raises(TypeError, r1.__mul__, 5.5)
assert_raises(TypeError, r1.__rmul__, None)
assert_raises(TypeError, r1.__rmul__, 5.5)
p = Point(r1, r2)
p2 = p * r1
p3 = r1 * p
def test_midpoint():
f = FiniteField
f.base = 11
X0 = Point(f(0), f(0), blue(f))
X1 = Point(f(2), f(2), blue(f))
X2 = Point(f(10), f(0), blue(f))
for (x0, x1) in [(X0, X1), (X1, X0), (X0, X2), (X2, X0), (X1, X2),
(X2, X1)]:
m = LineSegment(x0, x1).midpoint()
assert LineSegment(x0, m).quadrance() == LineSegment(x1, m).quadrance()
m = LineSegment(x1, x0).midpoint()
assert LineSegment(x0, m).quadrance() == LineSegment(x1, m).quadrance()
X0 = Point(Rational(1), Rational(7), red(Rational))
X1 = Point(Rational(3), Rational(2), red(Rational))
X2 = Point(Rational(10), Rational(1), red(Rational))
for (x0, x1) in [(X0, X1), (X1, X0), (X0, X2), (X2, X0), (X1, X2),
(X2, X1)]:
m = LineSegment(x0, x1).midpoint()
assert LineSegment(x0, m).quadrance() == LineSegment(x1, m).quadrance()
m = LineSegment(x1, x0).midpoint()
assert LineSegment(x0, m).quadrance() == LineSegment(x1, m).quadrance()
X0 = Point(Rational(3), Rational(0), green(Rational))
X1 = Point(Rational(2), Rational(5), green(Rational))
X2 = Point(Rational(10), Rational(1), green(Rational))
for (x0, x1) in [(X0, X1), (X1, X0), (X0, X2), (X2, X0), (X1, X2),
(X2, X1)]:
m = LineSegment(x0, x1).midpoint()
assert LineSegment(x0, m).quadrance() == LineSegment(x1, m).quadrance()
m = LineSegment(x1, x0).midpoint()
assert LineSegment(x0, m).quadrance() == LineSegment(x1, m).quadrance()