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from libparametric_curves_pywrap import polynomial, curve_constraints, forcecurve, spline | ||
import unittest | ||
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from numpy import matrix | ||
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cc = curve_constraints() | ||
cc.init_vel = matrix(range(3)).T | ||
from libparametric_curves_pywrap import (curve_constraints, forcecurve, polynomial, spline) | ||
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fc = forcecurve() | ||
sp = spline() | ||
pn = polynomial(matrix('1 2 3;4 5 6;7 8 9')) | ||
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assert pn.min() == 0.0 | ||
assert pn.max() == 1.0 | ||
class ParametricCurvesQuickTests(unittest.TestCase): | ||
def test_quick(self): | ||
cc = curve_constraints() | ||
cc.init_vel = matrix(range(3)).T | ||
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forcecurve() | ||
spline() | ||
pn = polynomial(matrix('1 2 3;4 5 6;7 8 9')) | ||
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self.assertEqual(pn.min(), 0.0) | ||
self.assertEqual(pn.max(), 1.0) | ||
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if __name__ == '__main__': | ||
unittest.main() |
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import unittest | ||
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from numpy import matrix | ||
from numpy.linalg import norm | ||
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from spline import (bezier, bezier6, curve_constraints, exact_cubic, polynom, spline_deriv_constraint) | ||
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waypoints = matrix([[1., 2., 3.], [4., 5., 6.]]).transpose() | ||
waypoints6 = matrix([[1., 2., 3., 7., 5., 5.], [4., 5., 6., 4., 5., 6.]]).transpose() | ||
time_waypoints = matrix([0., 1.]) | ||
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# testing bezier curve | ||
a = bezier6(waypoints6) | ||
a = bezier(waypoints, -1., 3.) | ||
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assert (a.degree == a.nbWaypoints - 1) | ||
a.min() | ||
a.max() | ||
a(0.4) | ||
assert ((a.derivate(0.4, 0) == a(0.4)).all()) | ||
a.derivate(0.4, 2) | ||
a = a.compute_derivate(100) | ||
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prim = a.compute_primitive(1) | ||
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for i in range(10): | ||
t = float(i) / 10. | ||
assert (a(t) == prim.derivate(t, 1)).all() | ||
assert (prim(0) == matrix([0., 0., 0.])).all() | ||
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prim = a.compute_primitive(2) | ||
for i in range(10): | ||
t = float(i) / 10. | ||
assert (a(t) == prim.derivate(t, 2)).all() | ||
assert (prim(0) == matrix([0., 0., 0.])).all() | ||
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# testing bezier with constraints | ||
c = curve_constraints() | ||
c.init_vel = matrix([0., 1., 1.]) | ||
c.end_vel = matrix([0., 1., 1.]) | ||
c.init_acc = matrix([0., 1., -1.]) | ||
c.end_acc = matrix([0., 100., 1.]) | ||
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a = bezier(waypoints, c) | ||
assert norm(a.derivate(0, 1) - c.init_vel) < 1e-10 | ||
assert norm(a.derivate(1, 2) - c.end_acc) < 1e-10 | ||
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# testing polynom function | ||
a = polynom(waypoints) | ||
a = polynom(waypoints, -1., 3.) | ||
a.min() | ||
a.max() | ||
a(0.4) | ||
assert ((a.derivate(0.4, 0) == a(0.4)).all()) | ||
a.derivate(0.4, 2) | ||
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# testing exact_cubic function | ||
a = exact_cubic(waypoints, time_waypoints) | ||
a.min() | ||
a.max() | ||
a(0.4) | ||
assert ((a.derivate(0.4, 0) == a(0.4)).all()) | ||
a.derivate(0.4, 2) | ||
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# testing spline_deriv_constraints | ||
c = curve_constraints() | ||
c.init_vel | ||
c.end_vel | ||
c.init_acc | ||
c.end_acc | ||
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c.init_vel = matrix([0., 1., 1.]) | ||
c.end_vel = matrix([0., 1., 1.]) | ||
c.init_acc = matrix([0., 1., 1.]) | ||
c.end_acc = matrix([0., 1., 1.]) | ||
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a = spline_deriv_constraint(waypoints, time_waypoints) | ||
a = spline_deriv_constraint(waypoints, time_waypoints, c) | ||
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class ParametricCurvesTests(unittest.TestCase): | ||
def test_all(self): | ||
waypoints = matrix([[1., 2., 3.], [4., 5., 6.]]).transpose() | ||
waypoints6 = matrix([[1., 2., 3., 7., 5., 5.], [4., 5., 6., 4., 5., 6.]]).transpose() | ||
time_waypoints = matrix([0., 1.]) | ||
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# testing bezier curve | ||
a = bezier6(waypoints6) | ||
a = bezier(waypoints, -1., 3.) | ||
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self.assertEqual(a.degree, a.nbWaypoints - 1) | ||
a.min() | ||
a.max() | ||
a(0.4) | ||
self.assertTrue((a.derivate(0.4, 0) == a(0.4)).all()) | ||
a.derivate(0.4, 2) | ||
a = a.compute_derivate(100) | ||
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prim = a.compute_primitive(1) | ||
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for i in range(10): | ||
t = float(i) / 10. | ||
self.assertTrue((a(t) == prim.derivate(t, 1)).all()) | ||
self.assertTrue((prim(0) == matrix([0., 0., 0.])).all()) | ||
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prim = a.compute_primitive(2) | ||
for i in range(10): | ||
t = float(i) / 10. | ||
self.assertTrue((a(t) == prim.derivate(t, 2)).all()) | ||
self.assertTrue((prim(0) == matrix([0., 0., 0.])).all()) | ||
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# testing bezier with constraints | ||
c = curve_constraints() | ||
c.init_vel = matrix([0., 1., 1.]) | ||
c.end_vel = matrix([0., 1., 1.]) | ||
c.init_acc = matrix([0., 1., -1.]) | ||
c.end_acc = matrix([0., 100., 1.]) | ||
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a = bezier(waypoints, c) | ||
self.assertLess(norm(a.derivate(0, 1) - c.init_vel), 1e-10) | ||
self.assertLess(norm(a.derivate(1, 2) - c.end_acc), 1e-10) | ||
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# testing polynom function | ||
a = polynom(waypoints) | ||
a = polynom(waypoints, -1., 3.) | ||
a.min() | ||
a.max() | ||
a(0.4) | ||
self.assertTrue(((a.derivate(0.4, 0) == a(0.4)).all())) | ||
a.derivate(0.4, 2) | ||
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# testing exact_cubic function | ||
a = exact_cubic(waypoints, time_waypoints) | ||
a.min() | ||
a.max() | ||
a(0.4) | ||
self.assertTrue(((a.derivate(0.4, 0) == a(0.4)).all())) | ||
a.derivate(0.4, 2) | ||
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# testing spline_deriv_constraints | ||
c = curve_constraints() | ||
c.init_vel | ||
c.end_vel | ||
c.init_acc | ||
c.end_acc | ||
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c.init_vel = matrix([0., 1., 1.]) | ||
c.end_vel = matrix([0., 1., 1.]) | ||
c.init_acc = matrix([0., 1., 1.]) | ||
c.end_acc = matrix([0., 1., 1.]) | ||
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a = spline_deriv_constraint(waypoints, time_waypoints) | ||
a = spline_deriv_constraint(waypoints, time_waypoints, c) | ||
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if __name__ == '__main__': | ||
unittest.main() |