def test_transforms():
"""Test basic transforms"""
xfm = np.random.randn(4, 4).astype(np.float32)
# Do a series of rotations that should end up into the same orientation
# again, to ensure the order of computation is all correct
# i.e. if rotated would return the transposed matrix this would not work
# out (the translation part would be incorrect)
new_xfm = xfm.dot(rotate(180, (1, 0, 0)).dot(rotate(-90, (0, 1, 0))))
new_xfm = new_xfm.dot(rotate(90, (0, 0, 1)).dot(rotate(90, (0, 1, 0))))
new_xfm = new_xfm.dot(rotate(90, (1, 0, 0)))
assert_allclose(xfm, new_xfm)
new_xfm = translate((1, -1, 1)).dot(translate((-1, 1, -1))).dot(xfm)
assert_allclose(xfm, new_xfm)
new_xfm = scale((1, 2, 3)).dot(scale((1, 1. / 2., 1. / 3.))).dot(xfm)
assert_allclose(xfm, new_xfm)
# These could be more complex...
xfm = ortho(-1, 1, -1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
xfm = frustum(-1, 1, -1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
xfm = perspective(1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
def test_transforms():
"""Test basic transforms"""
xfm = np.random.randn(4, 4).astype(np.float32)
# Do a series of rotations that should end up into the same orientation
# again, to ensure the order of computation is all correct
# i.e. if rotated would return the transposed matrix this would not work
# out (the translation part would be incorrect)
new_xfm = xfm.dot(rotate(180, (1, 0, 0)).dot(rotate(-90, (0, 1, 0))))
new_xfm = new_xfm.dot(rotate(90, (0, 0, 1)).dot(rotate(90, (0, 1, 0))))
new_xfm = new_xfm.dot(rotate(90, (1, 0, 0)))
assert_allclose(xfm, new_xfm)
new_xfm = translate((1, -1, 1)).dot(translate((-1, 1, -1))).dot(xfm)
assert_allclose(xfm, new_xfm)
new_xfm = scale((1, 2, 3)).dot(scale((1, 1. / 2., 1. / 3.))).dot(xfm)
assert_allclose(xfm, new_xfm)
# These could be more complex...
xfm = ortho(-1, 1, -1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
xfm = frustum(-1, 1, -1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
xfm = perspective(1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
def test_transforms():
"""Test basic transforms"""
xfm = np.random.randn(4, 4).astype(np.float32)
for rot in [xrotate, yrotate, zrotate]:
new_xfm = rot(rot(xfm, 90), -90)
assert_allclose(xfm, new_xfm)
new_xfm = rotate(rotate(xfm, 90, 1, 0, 0), 90, -1, 0, 0)
assert_allclose(xfm, new_xfm)
new_xfm = translate(translate(xfm, 1, -1), 1, -1, 1)
assert_allclose(xfm, new_xfm)
new_xfm = scale(scale(xfm, 1, 2, 3), 1, 1. / 2., 1. / 3.)
assert_allclose(xfm, new_xfm)
# These could be more complex...
xfm = ortho(-1, 1, -1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
xfm = frustum(-1, 1, -1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
xfm = perspective(1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
def test_transforms():
"""Test basic transforms"""
xfm = np.random.randn(4, 4).astype(np.float32)
for rot in [xrotate, yrotate, zrotate]:
new_xfm = rot(rot(xfm, 90), -90)
assert_allclose(xfm, new_xfm)
new_xfm = rotate(rotate(xfm, 90, 1, 0, 0), 90, -1, 0, 0)
assert_allclose(xfm, new_xfm)
new_xfm = translate(translate(xfm, 1, -1), 1, -1, 1)
assert_allclose(xfm, new_xfm)
new_xfm = scale(scale(xfm, 1, 2, 3), 1, 1. / 2., 1. / 3.)
assert_allclose(xfm, new_xfm)
# These could be more complex...
xfm = ortho(-1, 1, -1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
xfm = frustum(-1, 1, -1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
xfm = perspective(1, 1, -1, 1)
assert_equal(xfm.shape, (4, 4))
def gl_proj_matrix_from_K(width, height, K, near, far):
# See https://github.com/googlesamples/tango-examples-c/blob/master/tango-gl/camera.cpp
# https://developers.google.com/project-tango/overview/intrinsics-extrinsics
fx, fy, cx, cy = K[0, 0], K[1, 1], K[0, 2], K[1, 2]
xscale = near / float(fx)
yscale = near / float(fy)
xoffset = (cx - (width / 2.0)) * xscale
yoffset = (cy - (height / 2.0)) * yscale
# vispy return column-major to be OpenGL compatible
return frustum(xscale * (-width / 2.0) - xoffset,
xscale * ( width / 2.0) - xoffset,
yscale * (-height / 2.0) - yoffset,
yscale * ( height / 2.0) - yoffset,
near,
far).T
