Author: bugman
Date: Tue Sep 8 11:14:08 2009
New Revision: 9469
URL: http://svn.gna.org/viewcvs/relax?rev=9469&view=rev
Log:
Added some unit tests for the R_euler_zyz() function.
This tests some basic axis rotations.
Modified:
1.3/test_suite/unit_tests/_maths_fns/test_rotation_matrix.py
Modified: 1.3/test_suite/unit_tests/_maths_fns/test_rotation_matrix.py
URL:
http://svn.gna.org/viewcvs/relax/1.3/test_suite/unit_tests/_maths_fns/test_rotation_matrix.py?rev=9469&r1=9468&r2=9469&view=diff
==============================================================================
--- 1.3/test_suite/unit_tests/_maths_fns/test_rotation_matrix.py (original)
+++ 1.3/test_suite/unit_tests/_maths_fns/test_rotation_matrix.py Tue Sep 8
11:14:08 2009
@@ -38,6 +38,280 @@
"""Set up data used by the unit tests."""
+ def test_R_euler_zyz_alpha_30(self):
+ """Test the rotation matrix from zyz Euler angle conversion using a
beta angle of pi/4."""
+
+ # Generate the rotation matrix.
+ R = zeros((3, 3), float64)
+ R_euler_zyz(R, pi/6, 0.0, 0.0)
+
+ # Axes.
+ x_axis = array([1, 0, 0], float64)
+ y_axis = array([0, 1, 0], float64)
+ z_axis = array([0, 0, 1], float64)
+
+ # Rotated axis (real values).
+ x_real = array([cos(pi/6), sin(pi/6), 0], float64)
+ y_real = array([-sin(pi/6), cos(pi/6), 0], float64)
+ z_real = array([0, 0, 1], float64)
+
+ # Rotation.
+ x_new = dot(R, x_axis)
+ y_new = dot(R, y_axis)
+ z_new = dot(R, z_axis)
+
+ # Print out.
+ print("Rotated and true axes (beta = pi/4):")
+ print(("x rot: %s" % x_new))
+ print(("x real: %s\n" % x_real))
+ print(("y rot: %s" % y_new))
+ print(("y real: %s\n" % y_real))
+ print(("z rot: %s" % z_new))
+ print(("z real: %s\n" % z_real))
+
+ # Checks.
+ for i in range(3):
+ self.assertEqual(x_new[i], x_real[i])
+ self.assertEqual(y_new[i], y_real[i])
+ self.assertEqual(z_new[i], z_real[i])
+
+ # Axes (do everything again, this time negative!).
+ x_axis = array([-1, 0, 0], float64)
+ y_axis = array([0, -1, 0], float64)
+ z_axis = array([0, 0, -1], float64)
+
+ # Rotated axis (real values).
+ x_real = array([-cos(pi/6), -sin(pi/6), 0], float64)
+ y_real = array([sin(pi/6), -cos(pi/6), 0], float64)
+ z_real = array([0, 0, 1], float64)
+
+ # Rotation.
+ x_new = dot(R, x_axis)
+ y_new = dot(R, y_axis)
+ z_new = dot(R, z_axis)
+
+ # Print out.
+ print("Rotated and true axes (beta = pi/4):")
+ print(("x rot: %s" % x_new))
+ print(("x real: %s\n" % x_real))
+ print(("y rot: %s" % y_new))
+ print(("y real: %s\n" % y_real))
+ print(("z rot: %s" % z_new))
+ print(("z real: %s\n" % z_real))
+
+ # Checks.
+ for i in range(3):
+ self.assertEqual(x_new[i], x_real[i])
+ self.assertEqual(y_new[i], y_real[i])
+ self.assertEqual(z_new[i], z_real[i])
+
+
+ def test_R_euler_zyz_beta_45(self):
+ """Test the rotation matrix from zyz Euler angle conversion using a
beta angle of pi/4."""
+
+ # Generate the rotation matrix.
+ R = zeros((3, 3), float64)
+ R_euler_zyz(R, 0.0, pi/4, 0.0)
+
+ # Axes.
+ x_axis = array([1, 0, 0], float64)
+ y_axis = array([0, 1, 0], float64)
+ z_axis = array([0, 0, 1], float64)
+
+ # Rotated axis (real values).
+ x_real = array([cos(pi/4), 0, -sin(pi/4)], float64)
+ y_real = array([0, 1, 0], float64)
+ z_real = array([sin(pi/4), 0, cos(pi/4)], float64)
+
+ # Rotation.
+ x_new = dot(R, x_axis)
+ y_new = dot(R, y_axis)
+ z_new = dot(R, z_axis)
+
+ # Print out.
+ print("Rotated and true axes (beta = pi/4):")
+ print(("x rot: %s" % x_new))
+ print(("x real: %s\n" % x_real))
+ print(("y rot: %s" % y_new))
+ print(("y real: %s\n" % y_real))
+ print(("z rot: %s" % z_new))
+ print(("z real: %s\n" % z_real))
+
+ # Checks.
+ for i in range(3):
+ self.assertEqual(x_new[i], x_real[i])
+ self.assertEqual(y_new[i], y_real[i])
+ self.assertEqual(z_new[i], z_real[i])
+
+ # Axes (do everything again, this time negative!).
+ x_axis = array([-1, 0, 0], float64)
+ y_axis = array([0, -1, 0], float64)
+ z_axis = array([0, 0, -1], float64)
+
+ # Rotated axis (real values).
+ x_real = array([-cos(pi/4), 0, sin(pi/4)], float64)
+ y_real = array([0, -1, 0], float64)
+ z_real = array([-sin(pi/4), 0, -cos(pi/4)], float64)
+
+ # Rotation.
+ x_new = dot(R, x_axis)
+ y_new = dot(R, y_axis)
+ z_new = dot(R, z_axis)
+
+ # Print out.
+ print("Rotated and true axes (beta = pi/4):")
+ print(("x rot: %s" % x_new))
+ print(("x real: %s\n" % x_real))
+ print(("y rot: %s" % y_new))
+ print(("y real: %s\n" % y_real))
+ print(("z rot: %s" % z_new))
+ print(("z real: %s\n" % z_real))
+
+ # Checks.
+ for i in range(3):
+ self.assertEqual(x_new[i], x_real[i])
+ self.assertEqual(y_new[i], y_real[i])
+ self.assertEqual(z_new[i], z_real[i])
+
+
+ def test_R_euler_zyz_gamma_15(self):
+ """Test the rotation matrix from zyz Euler angle conversion using a
beta angle of pi/4."""
+
+ # Generate the rotation matrix.
+ R = zeros((3, 3), float64)
+ R_euler_zyz(R, 0.0, 0.0, pi/12)
+
+ # Axes.
+ x_axis = array([1, 0, 0], float64)
+ y_axis = array([0, 1, 0], float64)
+ z_axis = array([0, 0, 1], float64)
+
+ # Rotated axis (real values).
+ x_real = array([cos(pi/12), sin(pi/12), 0], float64)
+ y_real = array([-sin(pi/12), cos(pi/12), 0], float64)
+ z_real = array([0, 0, 1], float64)
+
+ # Rotation.
+ x_new = dot(R, x_axis)
+ y_new = dot(R, y_axis)
+ z_new = dot(R, z_axis)
+
+ # Print out.
+ print("Rotated and true axes (beta = pi/4):")
+ print(("x rot: %s" % x_new))
+ print(("x real: %s\n" % x_real))
+ print(("y rot: %s" % y_new))
+ print(("y real: %s\n" % y_real))
+ print(("z rot: %s" % z_new))
+ print(("z real: %s\n" % z_real))
+
+ # Checks.
+ for i in range(3):
+ self.assertEqual(x_new[i], x_real[i])
+ self.assertEqual(y_new[i], y_real[i])
+ self.assertEqual(z_new[i], z_real[i])
+
+ # Axes (do everything again, this time negative!).
+ x_axis = array([-1, 0, 0], float64)
+ y_axis = array([0, -1, 0], float64)
+ z_axis = array([0, 0, -1], float64)
+
+ # Rotated axis (real values).
+ x_real = array([-cos(pi/12), -sin(pi/12), 0], float64)
+ y_real = array([sin(pi/12), -cos(pi/12), 0], float64)
+ z_real = array([0, 0, 1], float64)
+
+ # Rotation.
+ x_new = dot(R, x_axis)
+ y_new = dot(R, y_axis)
+ z_new = dot(R, z_axis)
+
+ # Print out.
+ print("Rotated and true axes (beta = pi/4):")
+ print(("x rot: %s" % x_new))
+ print(("x real: %s\n" % x_real))
+ print(("y rot: %s" % y_new))
+ print(("y real: %s\n" % y_real))
+ print(("z rot: %s" % z_new))
+ print(("z real: %s\n" % z_real))
+
+ # Checks.
+ for i in range(3):
+ self.assertEqual(x_new[i], x_real[i])
+ self.assertEqual(y_new[i], y_real[i])
+
+
+ def test_R_euler_zyz_alpha_15_gamma_15(self):
+ """Test the rotation matrix from zyz Euler angle conversion using a
beta angle of pi/4."""
+
+ # Generate the rotation matrix.
+ R = zeros((3, 3), float64)
+ R_euler_zyz(R, pi/12, 0.0, pi/12)
+
+ # Axes.
+ x_axis = array([1, 0, 0], float64)
+ y_axis = array([0, 1, 0], float64)
+ z_axis = array([0, 0, 1], float64)
+
+ # Rotated axis (real values).
+ x_real = array([cos(pi/6), sin(pi/6), 0], float64)
+ y_real = array([-sin(pi/6), cos(pi/6), 0], float64)
+ z_real = array([0, 0, 1], float64)
+
+ # Rotation.
+ x_new = dot(R, x_axis)
+ y_new = dot(R, y_axis)
+ z_new = dot(R, z_axis)
+
+ # Print out.
+ print("Rotated and true axes (beta = pi/4):")
+ print(("x rot: %s" % x_new))
+ print(("x real: %s\n" % x_real))
+ print(("y rot: %s" % y_new))
+ print(("y real: %s\n" % y_real))
+ print(("z rot: %s" % z_new))
+ print(("z real: %s\n" % z_real))
+
+ # Checks.
+ for i in range(3):
+ self.assertEqual(x_new[i], x_real[i])
+ self.assertEqual(y_new[i], y_real[i])
+ self.assertEqual(z_new[i], z_real[i])
+
+ # Axes (do everything again, this time negative!).
+ x_axis = array([-1, 0, 0], float64)
+ y_axis = array([0, -1, 0], float64)
+ z_axis = array([0, 0, -1], float64)
+
+ # Rotated axis (real values).
+ x_real = array([-cos(pi/6), -sin(pi/6), 0], float64)
+ y_real = array([sin(pi/6), -cos(pi/6), 0], float64)
+ z_real = array([0, 0, 1], float64)
+
+ # Rotation.
+ x_new = dot(R, x_axis)
+ y_new = dot(R, y_axis)
+ z_new = dot(R, z_axis)
+
+ # Print out.
+ print("Rotated and true axes (beta = pi/4):")
+ print(("x rot: %s" % x_new))
+ print(("x real: %s\n" % x_real))
+ print(("y rot: %s" % y_new))
+ print(("y real: %s\n" % y_real))
+ print(("z rot: %s" % z_new))
+ print(("z real: %s\n" % z_real))
+
+ # Checks.
+ for i in range(3):
+ self.assertEqual(x_new[i], x_real[i])
+ self.assertEqual(y_new[i], y_real[i])
+ self.assertEqual(z_new[i], z_real[i])
+
+
+ self.assertEqual(z_new[i], z_real[i])
+
+
def test_R_to_euler_zyz(self):
"""Test the rotation matrix to zyz Euler angle conversion."""
r9469 - /1.3/test_suite/unit_tests/_maths_fns/test_rotation_matrix.py