text: """
  Drawing the Maze
  """
  
  import pygame
  import math
  pi = math.pi
  
  from Objects import *
  
  #define a rotation of a vertex about a given centre - used for maze drawing
  def rot(theta, vertex, centre):
      centeredv = vertex - centre
      rotatedv = v(centeredv[0]*math.cos(theta) - centeredv[1]*math.sin(theta), centeredv[0]*math.sin(theta) + centeredv[1]*math.cos(theta), centeredv.s)
      finalv = rotatedv + centre
      return finalv
  
  #drawing the maze itself
  def drawMaze(graph, s, gameDisplay, surface):
    
      # length and width of maze
      l = graph.breadth
      w = graph.height
  
      rect = pygame.Rect((0,0), (s*l,s*w)) #outline of maze
      pygame.draw.rect(surface, (200, 200, 200, 1), rect, 5)
  
  #drawing the walls
  #rotate each edge of the complement graph by pi/2
  #this makes the absence of an edge in the maze-tree be drawn as a wall
      for i in range(graph.size): 
          for j in range(i):
              # reference i and reference j are disconnected just in case adjacencyMatrix[i][j] = 0
              if ( graph.adjacencyMatrix[i][j] == 0 ): 
                  # Get vertex coords and add relevant edge 
                  [v1_x, v1_y] = convertRefToCoords(graph, i+1, s)
                  [v2_x, v2_y] = convertRefToCoords(graph, j+1, s)
                  v1 = v(v1_x, v1_y, s)
                  v2 = v(v2_x, v2_y, s)
                  
                  # Now test if vertices are adjacent on graph
                  if adjacentTest(graph, v1, v2): 
                      edgeToAdd = edge(v1, v2)
                      # Rotate vertices about centre of edgeToAdd
                      rotv1 = rot(pi/2, v1, centre(edgeToAdd))
                      rotv2 = rot(pi/2, v2, centre(edgeToAdd))
                      # Draw the edge onto the screen 
                      pygame.draw.line(surface, (200, 200, 200, 1), (rotv1[0], rotv1[1]), (rotv2[0], rotv2[1]), 2 )
  
      #drawing the finish square
      pygame.draw.rect(surface,(0,200,0,1),((s*(l-0.75),s*(w-0.75)),(s/2,s/2)),0)
      pygame.display.flip()
      
      return
  