def test_create_orthogonal_projection_matrix_vector4(self):
def apply_test(m, point, inside):
p = matrix44.apply_to_vector(m, point)
if p[3] == 0.:
self.assertFalse(inside)
# the values are now in clip space from (-1.,-1.,-1.) -> (1.,1.,1.)
# to be inside = all(-1. < value < 1.)
self.assertTrue(inside == (np.amax(np.absolute(p[:3])) <= 1.),
(inside, point, p))
m = matrix44.create_orthogonal_projection_matrix(
-1., 1., -1., 1., 1., 10.)
# +Z
apply_test(m, np.array((0., 0., 0., 1.)), False)
apply_test(m, np.array((0., 0., 1., 1.)), False)
# -Z but outside near, far
apply_test(m, np.array((0., 0., -.5, 1.)), False)
apply_test(m, np.array((0., 0., -11., 1.)), False)
apply_test(m, np.array((0., 0., 1., 1.)), False)
# Valid
apply_test(m, np.array((0., 0., -10., 1.)), True)
apply_test(m, np.array((0., 0., -1., 1.)), True)
apply_test(m, np.array((0., 0., -2., 1.)), True)
apply_test(m, np.array((0., 0., -9., 1.)), True)
apply_test(m, np.array((-1., -1., -1., 1.)), True)
apply_test(m, np.array((-1., -1., -10., 1.)), True)
apply_test(m, np.array((1., 1., -1., 1.)), True)
apply_test(m, np.array((1., 1., -10., 1.)), True)
# Outside left, right, top, bottom
apply_test(m, np.array((1.1, 1.1, -1., 1.)), False)
apply_test(m, np.array((-1.1, -1.1, -1., 1.)), False)
apply_test(m, np.array((1.1, 1.1, -10., 1.)), False)
apply_test(m, np.array((-1.1, -1.1, -10., 1.)), False)
def test_create_orthogonal_projection_matrix_vector4(self):
def apply_test(m, point, inside):
p = matrix44.apply_to_vector(m, point)
if p[3] == 0.:
self.assertFalse(inside)
# the values are now in clip space from (-1.,-1.,-1.) -> (1.,1.,1.)
# to be inside = all(-1. < value < 1.)
self.assertTrue(inside == (np.amax(np.absolute(p[:3])) <= 1.), (inside, point, p))
m = matrix44.create_orthogonal_projection_matrix(-1., 1., -1., 1., 1., 10.)
# +Z
apply_test(m, np.array((0.,0.,0.,1.)), False)
apply_test(m, np.array((0.,0.,1.,1.)), False)
# -Z but outside near, far
apply_test(m, np.array((0.,0.,-.5,1.)), False)
apply_test(m, np.array((0.,0.,-11.,1.)), False)
apply_test(m, np.array((0.,0.,1.,1.)), False)
# Valid
apply_test(m, np.array((0.,0.,-10.,1.)), True)
apply_test(m, np.array((0.,0.,-1.,1.)), True)
apply_test(m, np.array((0.,0.,-2.,1.)), True)
apply_test(m, np.array((0.,0.,-9.,1.)), True)
apply_test(m, np.array((-1.,-1.,-1.,1.)), True)
apply_test(m, np.array((-1.,-1.,-10.,1.)), True)
apply_test(m, np.array((1.,1.,-1.,1.)), True)
apply_test(m, np.array((1.,1.,-10.,1.)), True)
# Outside left, right, top, bottom
apply_test(m, np.array((1.1,1.1,-1.,1.)), False)
apply_test(m, np.array((-1.1,-1.1,-1.,1.)), False)
apply_test(m, np.array((1.1,1.1,-10.,1.)), False)
apply_test(m, np.array((-1.1,-1.1,-10.,1.)), False)
def projection_matrix(self, ptype=ProjectionType.perspective):
if (ptype == ProjectionType.perspective):
# Return the current perspective projection Matrix
return matrix44.create_perspective_projection_matrix(
self._fov, self._aspect, self._zNear, self._zFar)
else:
# Return the current orthogonal projection Matrix
return matrix44.create_orthogonal_projection_matrix(
self._rect[0], self._rect[1], self._rect[2], self._rect[3],
self._zNear, self._zFar)
def aspect_ratio(self, value):
self._aspect_ratio = value
self._projection_bytes = matrix44.create_orthogonal_projection_matrix(
-self.aspect_ratio, # left
self.aspect_ratio, # right
-1.0, # bottom
1.0, # top
-100.0, # near
100.0, # far
dtype=numpy.float32,
).tobytes()
def draw(self, pos, length=-1, size=24.0):
# Calculate ortho projection based on viewport
vp = self.ctx.fbo.viewport
w, h = vp[2] - vp[0], vp[3] - vp[1]
projection = matrix44.create_orthogonal_projection_matrix(
0, # left
w, # right
0, # bottom
h, # top
1.0, # near
-1.0, # far
dtype=numpy.float32,
)
self._texture.use(location=0)
self._program["m_proj"].write(projection)
self._program["text_pos"].value = pos
self._program["font_texture"].value = 0
self._program[
"char_size"].value = self._meta.char_aspect_wh * size, size
self._vao.render(self._program, instances=len(self._text))