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TubeCanvas.py 26.3 KB
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  #!/usr/bin/env python3
  # -*- coding: utf-8 -*-
  """
  Created on Mon Aug  5 15:56:47 2019
  
  @author: pavel
  """
  
  """
      Class that extends the vispy SceneCanvas to draw 3D tubes
  """
  
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  from vispy import gloo, scene, app
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  from vispy.gloo import set_viewport, set_state, clear, set_blend_color, context
  from vispy.gloo import gl
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  from vispy.util.transforms import perspective, translate, rotate, scale
  import vispy.gloo.gl as glcore
  from vispy.util.quaternion import Quaternion
  
  import numpy as np
  import math
  import network_dep as nwt
  
  
  from tube_shaders import FRAG_SHADER, VERT_SHADER
  
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  DEBUG = False
  if DEBUG:
      from mpl_toolkits.mplot3d import Axes3D
      import matplotlib
      import matplotlib.pyplot as plt
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  class TubeDraw(scene.SceneCanvas):
      #sigUpdate = QtCore.pyqtSignal(float, float, float)
  
      #Initiates the canvas.
      def __init__(self, **kwargs):
          #Initialte the class by calling the superclass
          scene.SceneCanvas.__init__(self, size=(512,512), keys='interactive', **kwargs)
          #unfreeze the drawing area to allow for dynamic drawing and interaction
          self.unfreeze()
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          self.edge_dict = {}
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          self.select = False
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          #generate dummy buffers for the meshes
          self.program = gloo.Program(VERT_SHADER, FRAG_SHADER)
          self.cylinder_data = np.zeros(5*5, dtype=[('a_position', np.float32, 3),
                                    ('a_normal', np.float32, 3),
                                    ('a_fg_color', np.float32, 4),
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                                    ('a_selection', np.float32, 1),
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                                    #('a_linewidth', np.float32, 1),
                                    ])
          self.triangle_data = np.random.randint(size=(5, 3), low=0,
                                    high=(4-1)).astype(np.uint32)
          self.vbo = gloo.VertexBuffer(self.cylinder_data)
          self.triangles = gloo.IndexBuffer(self.triangle_data)
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          #generate an index buffer for the caps.
          self.cap_data = np.random.randint(size=(5, 3), low=0, high=(4-1)).astype(np.uint32)
          self.caps = gloo.IndexBuffer(self.cap_data)
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          self.program.bind(self.vbo)
          self.scale = [1,1,1]
          self.r1 = np.eye(4, dtype=np.float32)
          self.r2 = np.eye(4, dtype=np.float32)
          set_viewport(0,0,*self.physical_size)
          #set_state(clear_color='white', depth_test=True, blend=True,
          #          blend_func=('src_alpha', 'one_minus_src_alpha'), depth_func = ('less'), cull_face='back')
          set_state(clear_color='white', depth_test=True, blend=True,
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                    blend_func=('src_alpha', 'one_minus_src_alpha'), depth_func = ('lequal'))
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          #set_blend_color(color='black')
          #set_state('translucent')
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          #self.program['u_LightPos'] = [0., 0., -1000.]
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          #self.camera = self.central_widget.add_view()
          #self.camera.camera = 'turntable'
          self.down = False
          self.camera = np.asarray([0.0, 0.0, 200.0], dtype=np.float32)
          self.up = np.asarray([0., 1., 0.], dtype=np.float32)
          #self.init_camera = [0.,0.,1000.]
  
          ##### prototype #####
          #Set the visualization matrices
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          self.program['u_selection'] = 0.0
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          self.program['u_eye'] = self.camera
          self.program['u_up'] = self.up
          self.program['u_target'] = np.asarray([0., 0., 0.], dtype=np.float32)
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  #        self.bb = np.ones((26, 3), dtype=np.float32)
  #        self.program['u_bb'] = self.bb
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      #Load the data necessary to draw all of the microvessels
      def set_data(self, G, bbu, bbl, num_sides):
          self.G = G
          self.num_sides = num_sides
          self.bbu = bbu
          self.bbl = bbl
          bb = nwt.AABB(G).resample_sides(3)
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          print(self.bbu, self.bbl, self.camera)
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          #create program
          self.gen_cylinder_vbo(self.G, self.num_sides)
          self.vbo = gloo.VertexBuffer(self.cylinder_data)
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          #self.triangle_data = np.append(self.triangle_data, self.cap_data, axis=0)
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          self.triangles = gloo.IndexBuffer(self.triangle_data)
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          self.caps = gloo.IndexBuffer(self.cap_data)
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          #self.view = np.eye(4, dtype=np.float32)
          self.model = np.eye(4, dtype=np.float32)
          self.projection = np.eye(4, dtype=np.float32)
          self.projection = perspective(90.0, self.physical_size[0]/self.physical_size[1], 1.0, 1000.0)
          #self.projection = perspective(90.0, 1.0, -1.0, 1.0)
          self.program['u_model'] = self.model
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          #self.program['u_LightPos'] = [0., 0., 1000.]
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          #self.program['u_view'] = self.view
          self.program['u_projection'] = self.projection
          self.program.bind(self.vbo)
  
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          print(self.bbu, self.bbl, self.camera)
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          gloo.set_clear_color('white')
          self.center = (bbu-bbl)/2.0
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          print(self.bbu, self.bbl, self.camera)
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          self.translate = [-self.center[0], -self.center[1], -self.center[2]]
  
          self.bb = np.ones((26, 3), dtype=np.float32)
          for i in range(26):
              for j in range(3):
                  self.bb[i,j] = bb[i][j]
          self.program['u_bb'] = self.bb
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          if DEBUG:
              print('bb is ', self.bb)
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  #        for i in range(len(self.translate)):
  #            self.camera[i] += self.translate[i]
  
  
          ##### prototype #####
          self.camera = self.camera - self.translate
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          print(self.camera)
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          self.program['u_eye'] = self.camera
          self.up = np.cross((np.asarray(self.center, dtype=np.float32)-np.asarray(self.camera, dtype=np.float32)), np.asarray(self.up))
          self.program['u_up'] = self.up
          self.program['u_target'] = self.translate
  
  
  
  
          #self.show()
  
      #Called during resize of the window in order to redraw the same image in the
      #larger/smaller area.
      def on_resize(self, event):
          width, height = event.physical_size
          gloo.set_viewport(0, 0, width, height)
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          if DEBUG:
              print(self.physical_size)
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      #overloaded function called during the self.update() call to update the current
      #frame using the GLSL frag/vert shaders
      def on_draw(self, event):
          clear(color='white', depth=True)
          gloo.set_clear_color('white')
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          if self.select:
              set_state(clear_color='white', depth_test=True, blend=True,
                    blend_func=('src_alpha', 'one_minus_src_alpha'), depth_func = ('always'), cull_face='back')
          else:
              set_state(clear_color='white', depth_test=True, blend=True,
                    blend_func=('src_alpha', 'one_minus_src_alpha'), depth_func = ('lequal'), cull_face='back')
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          self.program.draw('triangles', self.triangles)
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          if self.select:
              set_state(clear_color='white', depth_test=True, blend=True,
                    blend_func=('src_alpha', 'one_minus_src_alpha'), depth_func = ('always'), cull_face=False)
          else:
              set_state(clear_color='white', depth_test=True, blend=True,
                    blend_func=('src_alpha', 'one_minus_src_alpha'), depth_func = ('lequal'), cull_face=False)
          self.program.draw('triangles', self.caps)
  
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          self.projection = perspective(90.0, self.physical_size[0]/self.physical_size[1], 1.0, 1000.0)
          self.program['u_projection'] = self.projection
  
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      def refresh(self):
          self.update()
          app.Canvas.update(self)
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      #Creates a cylinder around ever segment in the microvascular network.
      def gen_cylinder_vbo(self, G, num_sides = 32):
          i = 0
          num_pts = 0
          num_tri = 0
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          num_tri_caps = 0
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          for e in G.edges():
              num_pts += len(self.G.edge_properties["x"][e])
              num_tri += (len(self.G.edge_properties["x"][e])-1)*num_sides*2
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              num_tri_caps += (2*(num_sides-2))
              
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          self.cylinder_data = np.zeros(num_pts*num_sides, dtype=[('a_position', np.float32, 3),
                                    ('a_normal', np.float32, 3),
                                    ('a_fg_color', np.float32, 4),
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                                    ('a_selection', np.float32, 1),
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                                    ])
          self.triangle_data = np.random.randint(size=(num_tri, 3), low=0,
                                    high=(G.num_edges()-1)).astype(np.uint32)
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          self.cap_data = np.random.randint(size = (num_tri_caps, 3),
                                            low = 0, high=(G.num_edges()-2)).astype(np.uint32)
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          index = 0
          t_index = 0
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          c_index = 0
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          #for each edge generate a cylinder.
          for e in G.edges():
              #print("done")
              #for each fiber get all the points and the radii
              X = self.G.edge_properties["x"][e]
              Y = self.G.edge_properties["y"][e]
              Z = self.G.edge_properties["z"][e]
              R = self.G.edge_properties["r"][e]
              color = G.edge_properties["RGBA"][e]
              pts = np.array([X,Y,Z]).T
              circle_pts = np.zeros((pts.shape[0], num_sides, 3), dtype = np.float32)
              step = 2*np.pi/num_sides
  #            U = np.zeros(pts.shape, dtype=np.float32)
  #            V = np.zeros(pts.shape, dtype=np.float32)
  #            direction = np.zeros(pts.shape, dtype=np.float32)
  
              #for every point in the edge
              for p in range(pts.shape[0]):
                  #if first point, generate the circles.
                  #In this case we want to generate a cap if we see the first circle or the last.
                  if(p == 0):
                      #get the direction
                      direction = (pts[p+1] - pts[p])
                      #normalize direction
                      direction = direction/np.sqrt(direction[0]*direction[0] + direction[1]*direction[1] + direction[2]*direction[2])
                      #generate a vector to use as an element of the cross product
                      Y = np.zeros((3,), dtype = np.float32)
                      Y[0] = 1.
                      #if direction and Y are parallel, change Y
                      if(np.cos(np.dot(Y, direction)) < 0.087):
                          Y[0] = 0.0
                          Y[2] = 1.0
                      #generate first plane vector
                      U = np.cross(direction, Y)
                      U = U/np.sqrt(U[0]*U[0] + U[1]*U[1] + U[2]*U[2])
                      #generate second plane vector
                      V = np.cross(direction, U)
                      V = V/np.sqrt(V[0]*V[0] + V[1]*V[1] + V[2]*V[2])
                      #print(R[p],pts[p])
                      #generate circle.
                      for s in range(num_sides):
                          circle_pts[p][s][0] =  R[p]*np.cos(s*step)*V[0]*0.5 + R[p]*np.sin(s*step)*U[0]*0.5
                          circle_pts[p][s][1] =  R[p]*np.cos(s*step)*V[1]*0.5 + R[p]*np.sin(s*step)*U[1]*0.5
                          circle_pts[p][s][2] =  R[p]*np.cos(s*step)*V[2]*0.5 + R[p]*np.sin(s*step)*U[2]*0.5
                  #if last point, copy the previous circle.
                  elif(p == pts.shape[0]-1):
                      for s in range(num_sides):
                          circle_pts[p][s] = circle_pts[p-1][s]
                      for v in range(pts.shape[0]):
                          circle_pts[v,:,0] += pts[v][0]
                          circle_pts[v,:,1] += pts[v][1]
                          circle_pts[v,:,2] += pts[v][2]
                  #otherwise, rotate the circle
                  else:
                      #print(R[p], pts[p])
                      #generate a new direction vector.
                      dir_new = (pts[p+1]-pts[p])
                      dir_new = dir_new/np.sqrt(dir_new[0]*dir_new[0] + dir_new[1]*dir_new[1] + dir_new[2]*dir_new[2])
                      dir_new2 = (pts[p]-pts[p-1])
                      dir_new2 = dir_new2/np.sqrt(dir_new2[0]*dir_new2[0] + dir_new2[1]*dir_new2[1] + dir_new2[2]*dir_new2[2])
                      dir_new = dir_new+dir_new2
                      dir_new = dir_new/np.sqrt(dir_new[0]*dir_new[0] + dir_new[1]*dir_new[1] + dir_new[2]*dir_new[2])
                      #print(dir_new, direction)
                      #generate the quaternion rotation vector for the shortest arc
                      k = 1.0 + np.dot(direction, dir_new)
                      s = 1/np.sqrt(k+k)
                      r = s*np.cross(direction, dir_new)
                      theta = k*s
                      #r = np.cross(direction, dir_new)
                      #r = r/np.sqrt(r[0]*r[0] + r[1]*r[1] + r[2]*r[2])
                      #calculate the degree of quaternion rotation.
                      #cos_theta = np.sqrt(np.sqrt(np.dot(dir_new, dir_new)) * np.sqrt(np.dot(direction, direction))) + np.dot(dir_new, direction)
                      #cos_theta = np.dot(direction, dir_new)
                      #theta = np.arccos(cos_theta)/2.0
                      #print(r, cos_theta, theta)
                      #quat = np.append(theta, r)
                      q = Quaternion(w=theta, x = r[0], y = r[1], z = r[2]).normalize()
  
                      #print(quat)
                      #q = np.quaternion(quat[0], quat[1], quat[2], quat[3])
                      #rot = Rotation.from_quat(quat, normalized=False)
                      #rot.as_quat()
                      for s in range(num_sides):
                          circle_pts[p][s] = q.rotate_point(circle_pts[p-1][s])
                          #circle_pts[p][s] = rot.apply(circle_pts[p-1][s])
                          #circle_pts[p][s] = q.rotate(circle_pts[p-1][s])
                          #circle_pts[p][s] = np.quaternion.rotate_vectors(q, circle_pts[p][s])
                          #circle_pts[p][s] = q.rotate_vectors(q, circle_pts[p][s])
                          #circle_pts[p][s] = circle_pts[p][s]
                      direction = dir_new
              #generate the triangles
              triangles = np.random.randint(size=((pts.shape[0]-1)*2*(num_sides), 3), low=0,
                                    high=(G.num_edges()-1)).astype(np.uint32)
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              cap_triangles = np.random.randint(size=((num_sides-2)*2 , 3), low=0, high=(num_sides-2)).astype(np.uint32)
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              t_index_temp = 0
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              c_index_temp = 0
              #for every ring in the fiber
              for ring in range(0, pts.shape[0], pts.shape[0]-1):
              #if we have the first ring or the last ring add a cap.
                  idx_ori = index+ring*num_sides
                  for side in range(0, num_sides-2):
                      idx_current_point = index+ring*num_sides + side
                      if(side < num_sides-2):
                          cap_tri = [idx_ori, idx_current_point+1, idx_current_point+2]
                      else:
                          cap_tri = [idx_ori, idx_current_point+1, idx_ori]
                      cap_triangles[c_index_temp] = cap_tri
                      self.cap_data[c_index] = cap_tri
                      c_index_temp += 1
                      c_index += 1
              
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              for ring in range(pts.shape[0]-1):
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                  #otherwise generate the sides.
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                  for side in range(num_sides):
                      if(side < num_sides-1):
                          idx_current_point = index+ring*num_sides + side
                          idx_next_ring = index + (ring+1) * num_sides + side
                          triangle1 = [idx_current_point, idx_next_ring, idx_next_ring+1]
                          triangle2 = [idx_next_ring+1, idx_current_point+1, idx_current_point]
                          triangles[t_index_temp] = [idx_current_point, idx_next_ring, idx_next_ring+1]
                          triangles[t_index_temp+1] = [idx_next_ring+1, idx_current_point+1, idx_current_point]
                          self.triangle_data[t_index] = triangle1
                          self.triangle_data[t_index+1] = triangle2
                          t_index += 2
                          t_index_temp += 2
                      else:
                          idx_current_point = index + ring*num_sides + side
                          idx_next_ring = index + (ring+1)*num_sides + side
                          triangle1 = [idx_current_point, idx_next_ring, idx_next_ring-num_sides+1]
                          triangle2 = [idx_next_ring-num_sides+1, idx_current_point-num_sides+1, idx_current_point]
                          triangles[t_index_temp] = [idx_current_point, idx_next_ring-num_sides, idx_next_ring-num_sides+1]
                          triangles[t_index_temp+1] = [idx_next_ring-num_sides+1, idx_current_point-num_sides+1, idx_current_point]
                          self.triangle_data[t_index] = triangle1
                          self.triangle_data[t_index+1] = triangle2
                          t_index += 2
                          t_index_temp += 2
  
              #generate the points data structure
              circle_pts_data = circle_pts.reshape((pts.shape[0]*num_sides, 3))
              self.cylinder_data['a_position'][index:(pts.shape[0]*num_sides+index)] = circle_pts_data
              self.cylinder_data['a_fg_color'][index:(pts.shape[0]*num_sides+index)] = color
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              self.cylinder_data['a_selection'][index:(pts.shape[0]*num_sides+index)] = 0.0
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              #generate the normals data structure
              pts_normals = circle_pts.copy()
              for p in range(pts.shape[0]):
                  pts_normals[p][:] = pts_normals[p][:] - pts[p]
                  for s in range(num_sides):
                      pts_normals[p][s] = pts_normals[p][s]/np.sqrt(pts_normals[p][s][0]*pts_normals[p][s][0] \
                                + pts_normals[p][s][1]*pts_normals[p][s][1] + pts_normals[p][s][2]*pts_normals[p][s][2])
              self.cylinder_data['a_normal'][index:(pts.shape[0]*num_sides+index)] = \
                  pts_normals.reshape((pts.shape[0]*num_sides, 3))
  
              index += pts.shape[0]*num_sides
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              self.edge_dict[(int(e.source()), int(e.target()))] = (index-pts.shape[0]*num_sides, index)
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              #Add the caps for each of the endpoints.
  
  
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              if DEBUG:
                  if(i == 2):
                      fig = plt.figure()
                      ax = fig.add_subplot(111, projection='3d')
                      #ax.scatter(circle_pts[:,:,0], circle_pts[:,:,1], circle_pts[:,:,2])
                      ax.plot(pts[:,0], pts[:,1], pts[:,2])
                      for j in range(pts.shape[0]):
                          ax.plot(circle_pts[j,:,0], circle_pts[j,:,1], circle_pts[j,:,2])
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                      for j in range(cap_triangles.shape[0]):
                          tri = np.zeros((3,4))
                          tri[:,0] = self.cylinder_data['a_position'][cap_triangles[j][0]]
                          tri[:,1] = self.cylinder_data['a_position'][cap_triangles[j][1]]
                          tri[:,2] = self.cylinder_data['a_position'][cap_triangles[j][2]]
                          tri[:,3] = self.cylinder_data['a_position'][cap_triangles[j][0]]
                          ax.plot(tri[0,:], tri[1,:], tri[2,:], c='b')
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                      for j in range(triangles.shape[0]):
                          tri = np.zeros((3,4))
                          tri[:,0] = self.cylinder_data['a_position'][triangles[j][0]]
                          tri[:,1] = self.cylinder_data['a_position'][triangles[j][1]]
                          tri[:,2] = self.cylinder_data['a_position'][triangles[j][2]]
                          tri[:,3] = self.cylinder_data['a_position'][triangles[j][0]]
                          ax.plot(tri[0,:], tri[1,:], tri[2,:], c='b')
                      for j in range(triangles.shape[0]):
                          tri = np.zeros((3,3))
                          tri[:,0] = self.cylinder_data['a_position'][triangles[j][0]]
                          tri[:,1] = self.cylinder_data['a_position'][triangles[j][1]]
                          tri[:,2] = self.cylinder_data['a_position'][triangles[j][2]]
                          norm = np.zeros((3,3))
                          norm[:,0] = self.cylinder_data['a_normal'][triangles[j][0]]
                          norm[:,1] = self.cylinder_data['a_normal'][triangles[j][1]]
                          norm[:,2] = self.cylinder_data['a_normal'][triangles[j][2]]
                          ax.quiver(tri[0,:], tri[1,:], tri[2,:], norm[0,:], norm[1,:], norm[2,:], colors = 'r')
                      plt.show()
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              i+=1
          #create the data.
          
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      def select_edges(self, edges):
          #gloo.context.set_current_canvas(gloo.context.get_current_canvas())
          if len(edges) > 0:
              self.select = True
              #gloo.set_depth_func('always')
              #clear(color='white', depth=True)
              #gl.GL_DEPTH_FUNC('always')
              #print(gloo.wrappers.get_gl_configuration())
              self.program['u_selection'] = 1.0
              for e in edges:
                  if e in self.edge_dict:
                      idx = self.edge_dict[e]
                      #print(self.canvas.edge_dict[e])
                  elif (e[1], e[0]) in self.edge_dict:
                      idx = self.edge_dict[(e[1],e[0])]
                  else:
                      print("WHAT THE FUCK HAPPENED")
                  self.cylinder_data["a_selection"][idx[0]:idx[1]] = 1.0   
              self.vbo = gloo.VertexBuffer(self.cylinder_data)
              self.program.bind(self.vbo)
              #self.update()
          else:
              self.program['u_selection'] = 0.0
              self.select = False
              #set_state(clear_color='white', depth_test=True, blend=True,
              #      blend_func=('src_alpha', 'one_minus_src_alpha'), depth_func = ('lequal'))
              #gloo.set_depth_func('lequal')
              #clear(color='white', depth=True)
              #print(gloo.wrappers.get_gl_configuration())
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          self.refresh()
  
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                  #print(self.canvas.edge_dict[(e[1], e[0])])
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      #Handles the mouse wheel event, i.e., zoom
      def on_mouse_wheel(self, event):
  #        self.scale[0] = self.scale[0] + self.scale[0]*event.delta[1]*0.05
  #        self.scale[1] = self.scale[1] + self.scale[1]*event.delta[1]*0.05
  #        self.scale[2] = self.scale[2] + self.scale[2]*event.delta[1]*0.05
  ##        self.view[0][0] = self.scale[0]
  ##        self.view[1][1] = self.scale[1]
  ##        self.view[2][2] = self.scale[2]
  #        print("in mouse wheel ", self.r1, self.r2)
  #        self.view = np.matmul(translate((self.translate[0], self.translate[1], self.translate[2])), self.r1)
  #        self.view = np.matmul(self.view, self.r2)
  #        self.view = np.matmul(self.view, scale((self.scale[0], self.scale[1], self.scale[2])))
  #        #self.view = np.matmul(self.view, self.r1)
  #        #self.view = np.matmul(self.view, self.r2)
  #        #self.view = np.matmul(translate((self.translate[0], self.translate[1], self.translate[2])), scale((self.scale[0], self.scale[1], self.scale[2])))
  #        #self.rotate = [0., 0.]
  #        #self.camera =
  #
  #        #self.view[1][1] = self.view[1][1]+self.view[1][1]*event.delta[1]*0.05
  #        #print(self.view[0][0], " ",self.view[1][1])
  #        #print(self.view)
  #        self.camera = [0.0, 0.0, -100.0, 1.0]
  ##        for i in range(len(self.translate)):
  ##            self.camera[i] += self.translate[i]
  #        self.program['u_view'] = self.view
  
  #        if(np.asarray(self.camera).all() == np.asarray([0., 0., 0.]).all()):
  #            self.camera = np.asarray([0., 0., 0.])
  #        else:
          direction = np.asarray(self.translate) - np.asarray(self.camera)
          direction = direction/np.sqrt(np.dot(direction, direction))
          for i in range(3):
              self.camera[i] = self.camera[i] + direction[i]*event.delta[1]*2.0
  
          self.program['u_eye'] = self.camera
          #print(self.view)
          #print(event.delta[1])
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          self.refresh()
  
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      def update_view(self, event):
          self.location = event.pos
              #self.program['u_view'] = self.view
          self.down = True
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      #Handles the mouse press event to rotate the camera if the left mouse button
      #if clicked down.
      def on_mouse_press(self, event):
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          if(event.button == 1):
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              self.update_view(event)
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      #Handles the rotation of the camera using a quaternion centered around the
      #focus point.
      def on_mouse_move(self, event):
          if(self.down == True):
              coord = self.transforms.get_transform('canvas', 'render').map(self.location)[:2]
              coord2 = self.transforms.get_transform('canvas', 'render').map(event.pos)[:2]
              #coord[1] = 0
              #coord2[1] = 0
  
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              phi = (coord[0]-coord2[0])*360.0/2.0/np.pi
              theta = (coord[1]-coord2[1])*360.0/2.0/np.pi
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              if DEBUG:
                  print(theta*360.0/2.0/np.pi, -phi*360.0/2.0/np.pi)
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              self.camera = self.camera - self.translate
              q1 = Quaternion.create_from_axis_angle(angle=phi, ax=0.0, ay=1.0, az=0.0, degrees=True)
              q2 = Quaternion.create_from_axis_angle(angle=theta, ax=1.0, ay=0.0, az=0.0, degrees=True)
              #q1 = Quaternion(w=theta, x = 0, y = 1, z = 0).inverse().normalize()
              #q2 = Quaternion(w=-phi, x = 1, y = 0, z = 0).inverse().normalize()
  
              q = q1*q2
  
  #            #print("Angle in Degrees is ", theta, " ", phi, coord[0] - coord2[0])
  #            self.r1 = rotate(theta, (0, 1, 0))
  #            self.r2 = rotate(-phi, (1, 0, 0))
  #
  #            print("in on mouse move ", self.r1, self.r2)
  #
  #            self.view = np.matmul(self.view, self.r1)
  #            #print("r1", self.view)
  #            self.view = np.matmul(self.view, self.r2)
  #            #print("r2", self.view)
  #
  ##            self.view = np.matmul(self.view, q1.get_matrix().T)
  ##            self.view = np.matmul(self.view, q2.get_matrix().T)
  #
  #            self.program['u_view'] = self.view
  #
              self.location = event.pos
  #            #print("Angle in Degrees is ", theta, " ", phi)
  #            #print(self.camera)
              self.camera = np.asarray(q.rotate_point(self.camera), dtype=np.float)
              self.camera = self.camera + self.translate
              self.up = np.asarray(q.rotate_point(self.up), dtype=np.float)
              self.up = self.up/np.sqrt(np.dot(self.up, self.up))
              #self.rotate[0] = self.rotate[0] + theta
              #self.rotate[1] = self.rotate[1] + phi
              #print(self.rotate)f
              #radius = np.sqrt(np.dot(self.center, self.center))*2
              #test = np.linalg.inv(self.view).T
              #print(test)
  
  
  
              #self.camera = sph2cart(self.rotate[0]/360.0*2.0*np.pi+np.pi, self.rotate[1]/360.0*2.0*np.pi+np.pi, 1000.0)
              #self.camera[0] = self.camera[0] + self.center[0]
              #self.camera[1] = self.camera[1] + self.center[1]
              #self.camera[2] = self.camera[2] - self.center[2]
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              if DEBUG:
                  print("current position ", self.camera, " and up vector ", self.up)
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              self.program['u_eye'] = self.camera
              self.program['u_up'] = self.up
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              #self.program['u_LightPos'] = [self.camera[0], self.camera[1], self.camera[2]]
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              self.refresh()
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      #reverts the mouse state during release.
      def on_mouse_release(self, event):
          self.down = False