def transform_objects(objects, scale,rotation_cc, trans_x, trans_y, trans_z=0): #Construct transform matrices #Scale scale_matrix = matrix.identity_matrix(4,4) scale_matrix[0,0] = scale scale_matrix[1,1] = scale scale_matrix[2,2] = scale #Rotation (around Z axis) rads = rotation_cc * (math.pi/180.0) rotation_matrix = matrix.identity_matrix(4,4) rotation_matrix[0,0] = math.cos(rads) rotation_matrix[1,0] = math.sin(rads) rotation_matrix[0,1] = -1 * math.sin(rads) rotation_matrix[1,1] = math.cos(rads) #Translation translation_matrix = matrix.identity_matrix(4,4) translation_matrix[0,3] = trans_x translation_matrix[1,3] = trans_y translation_matrix[2,3] = trans_x #Multiply for one transform matrix transform_matrix = translation_matrix * (rotation_matrix * scale_matrix) #Loop over each geometric object for obj in objects: #Apply transform to each object obj.apply_transform(transform_matrix) #Return modified objects return objects
def get_rotation_zaxis_matrix(rotation_cc): rads = rotation_cc * (math.pi/180.0) rotation_matrix = matrix.identity_matrix(4,4) rotation_matrix[0,0] = math.cos(rads) rotation_matrix[1,0] = math.sin(rads) rotation_matrix[0,1] = -1 * math.sin(rads) rotation_matrix[1,1] = math.cos(rads) return rotation_matrix
def get_shear_3d_matrix(umin, umax, vmin, vmax, prpu, prpv, prpn): #Calc shx and y values to fill in matrix shx = (0.5*(umax+umin) - prpu) / prpn shy = (0.5*(vmax+vmin) - prpv) / prpn #Populate 4D transform matrix m = matrix.identity_matrix(4,4) m[0,2] = shx m[1,2] = shy return m
def __init__(self, hsize, vsize, field_of_view):
self.hsize = hsize
self.vsize = vsize
self.field_of_view = field_of_view
self.transform = identity_matrix()
# calculate pixel size
half_view = tan(field_of_view / 2)
aspect = hsize / vsize
if aspect >= 1:
self.half_width = half_view
self.half_height = half_view / aspect
else:
self.half_width = half_view * aspect
self.half_height = half_view
self.pixel_size = (self.half_width * 2) / hsize
def get_rotation_3d_matrix(vpn_x, vpn_y, vpn_z, vup_x, vup_y, vup_z): #Get vpn and vup into vector/matrices vpn_point = Point() vpn_point.x = vpn_x vpn_point.y = vpn_y vpn_point.z = vpn_z vpn_vec3d = vpn_point.to_vector3d() vup_point = Point() vup_point.x = vup_x vup_point.y = vup_y vup_point.z = vup_z vup_vec3d = vup_point.to_vector3d() #Calc R X,Y,Z vectors #|v| = sqrt(v dot v) Rz = numpy.divide(vpn_vec3d , matrix.magnitude(vpn_vec3d)) Rx = numpy.divide( numpy.cross(vup_vec3d,Rz), matrix.magnitude(numpy.cross(vup_vec3d,Rz)) ) Ry = numpy.cross(Rz,Rx) #Populate 4D transform matrix m = matrix.identity_matrix(4,4) r1x = Rx[0] r2x = Rx[1] r3x = Rx[2] r1y = Ry[0] r2y = Ry[1] r3y = Ry[2] r1z = Rz[0] r2z = Rz[1] r3z = Rz[2] m[0,0] = r1x m[0,1] = r2x m[0,2] = r3x m[1,0] = r1y m[1,1] = r2y m[1,2] = r3y m[2,0] = r1z m[2,1] = r2z m[2,2] = r3z return m
def __init__(self):
self.id = str.format("%032x" % random.getrandbits(128))
self.parent = None
self.transform = identity_matrix()
self.material = material()
def get_scale_matrix(scale_x,scale_y,scale_z=1): scale_matrix = matrix.identity_matrix(4,4) scale_matrix[0,0] = scale_x scale_matrix[1,1] = scale_y scale_matrix[2,2] = scale_z return scale_matrix
def get_translation_matrix(trans_x, trans_y, trans_z=0): translation_matrix = matrix.identity_matrix(4,4) translation_matrix[0,3] = trans_x translation_matrix[1,3] = trans_y translation_matrix[2,3] = trans_z return translation_matrix
def step_impl(context):
assert context.t == identity_matrix()
def __init__(self):
self.transform = identity_matrix()
self.test = True
super().__init__()
def step_impl(context):
assert context.s.transform == identity_matrix()
def __init__(self):
self.transform = identity_matrix()