def test_sBasisCurve(self):
S = SBasisCurve(SBasis(0, 2), SBasis(3, 7)*SBasis(1, 8))
a = SBasis(3, 9)*SBasis(4, 6)
b = SBasis(2, 0)
c = a(b)
self.curve(S)
self.curve(S.derivative())
self.curve(S.reverse())
self.curve(S.transformed( Scale(4) ))
self.curve(S.transformed( Zoom(9, Translate(3, 6)) ))
self.curve(SBasisCurve(a*b*c, a+b+c))
self.curve(S.derivative().derivative())
def test_scale(self):
S = Scale()
T = Scale( Point (3, 8) )
U = Scale( -3, 1)
V = Scale(sqrt(2))
self.assertTrue( Affine(T).is_scale() )
self.assertTrue( Affine(T).is_nonzero_scale() )
self.assertTrue( Affine(V).is_nonzero_uniform_scale())
self.assertEqual( (T*V).vector(), T.vector()*sqrt(2) )
self.assertEqual( (T*U)[0], T[0]*U[0] )
self.assertAlmostEqual( 1/U.inverse()[1], U[1] )
r = Rect.from_points( Point(0, 2), Point(4, 8) )
self.assertAlmostEqual((r*V).area(), 2*r.area())
self.assertFalse(Affine(U).preserves_area())
self.assertTrue(Affine(V).preserves_angles())
self.affine(Affine(T), Affine(U))
self.affine(Affine(U), Affine(V))
self.affine(Affine(V), Affine(T))
def test_quadraticBezier(self):
Q = QuadraticBezier(Point(2, 8), Point(1, 9), Point(-2, 3))
R = QuadraticBezier.from_beziers(Bezier(2, 8, 4), Bezier(-1, 9, 9))
self.curve(Q)
self.curve(R)
self.curve(Q.reverse())
self.curve(Q.portion(interval=Interval(0.1, 0.9)))
self.curve(Q.subdivide(0.8)[0])
self.curve(Q.subdivide(0.8)[1])
self.curve(Q.derivative())
self.curve(Q.transformed(Scale(-3)*Translate(4, 8)))
self.curve(QuadraticBezier())
def ntest_lineSegment(self):
L = LineSegment(Point(2, 8), Point(1, 9))
K = LineSegment.from_beziers(Bezier(2, 8), Bezier(-1, 9))
self.curve(L)
self.curve(K)
self.curve(L.reverse())
self.curve(L.portion(Interval(0.2, 0.4)))
self.curve(L.subdivide(0.3)[0])
self.curve(L.subdivide(0.3)[1])
self.curve(L.derivative())
self.curve(L.transformed(Scale(30)*Translate(3, 9)))
self.curve(LineSegment())
def test_cubicBezier(self):
C = CubicBezier(Point(2, 0), Point(-1, 2.9), Point(-2, 3), Point(3, 1))
D = CubicBezier.from_beziers(Bezier(2, 8, 4, 7), Bezier(-1, 9, 9, 8))
print 343
self.curve(C)
self.curve(D)
self.curve(C.reverse())
#Some kind of numerical instability imo
#~ self.curve(C.portion(Interval(0.1, 0.9)))
self.curve(C.subdivide(0.8)[0])
self.curve(C.subdivide(0.8)[1])
self.curve(C.derivative())
self.curve(C.transformed(Scale(-3)*Translate(4, 8)))
self.curve(CubicBezier())
def test_scale(self):
S = Scale()
T = Scale(Point(3, 8))
U = Scale(-3, 1)
V = Scale(sqrt(2))
self.assertTrue(Affine(T).is_scale())
self.assertTrue(Affine(T).is_nonzero_scale())
self.assertTrue(Affine(V).is_nonzero_uniform_scale())
self.assertEqual((T * V).vector(), T.vector() * sqrt(2))
self.assertEqual((T * U)[0], T[0] * U[0])
self.assertAlmostEqual(1 / U.inverse()[1], U[1])
r = Rect.from_points(Point(0, 2), Point(4, 8))
self.assertAlmostEqual((r * V).area(), 2 * r.area())
self.assertFalse(Affine(U).preserves_area())
self.assertTrue(Affine(V).preserves_angles())
self.affine(Affine(T), Affine(U))
self.affine(Affine(U), Affine(V))
self.affine(Affine(V), Affine(T))