Mercurial > traipse_dev
annotate orpg/mapper/region.py @ 20:072ffc1d466f traipse_dev
2nd attempt. Still untested.
author | sirebral |
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date | Sat, 25 Jul 2009 19:23:25 -0500 |
parents | 4385a7d0efd1 |
children | 449a8900f9ac |
rev | line source |
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0
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1 # Copyright (C) 2000-2001 The OpenRPG Project |
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2 # |
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3 # openrpg-dev@lists.sourceforge.net |
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4 # |
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5 # This program is free software; you can redistribute it and/or modify |
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6 # it under the terms of the GNU General Public License as published by |
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7 # the Free Software Foundation; either version 2 of the License, or |
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8 # (at your option) any later version. |
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9 # |
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10 # This program is distributed in the hope that it will be useful, |
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11 # but WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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13 # GNU General Public License for more details. |
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14 # |
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15 # You should have received a copy of the GNU General Public License |
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16 # along with this program; if not, write to the Free Software |
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17 # Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. |
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18 # -- |
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19 # |
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20 # File: mapper/region.py |
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21 # Author: Mark Tarrabain |
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22 # Maintainer: |
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23 # Version: |
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24 # $Id: region.py,v 1.10 2006/11/04 21:24:21 digitalxero Exp $ |
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25 # |
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26 __version__ = "$Id: region.py,v 1.10 2006/11/04 21:24:21 digitalxero Exp $" |
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27 |
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28 import sys |
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29 |
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30 # This class manages the edge of a polygon |
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31 # it is employed by scan_convert to trace each edge of the polygon as the |
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32 # scan converter advances past each Y coordinate |
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33 # A bresenham-type of algorithm is used to avoid expensive computation during |
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34 # use - no floating point arithmetic is needed. |
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35 class Edge: |
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36 def __init__(self,start,end): |
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37 self.startx=start.X |
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38 self.starty=start.Y |
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39 self.endx=end.X |
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40 self.endy=end.Y |
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41 self.dy=self.endy-self.starty |
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42 self.cx=self.startx |
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43 self.bottom=0 |
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44 self.dir = 0 |
20 | 45 if self.endx>self.startx: self.dx = int((self.endx-self.startx)/self.dy) |
46 else: self.dx = -int((self.startx-self.endx)/self.dy) | |
0
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47 self.error = 0 |
20 | 48 if self.endx >= self.startx: self.inc = (self.endx-self.startx)%self.dy |
49 else: self.inc = (self.startx-self.endx)%self.dy | |
0
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50 |
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51 def advance(self): |
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52 self.cx += self.dx |
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53 self.error += self.inc |
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54 if (self.error>=self.dy): |
20 | 55 if (self.endx<self.startx): self.cx -= 1 |
56 else: self.cx += 1 | |
0
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57 self.error -= self.dy |
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58 |
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59 # Utilitarian class for describing a coordinate in 2D space |
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60 class IPoint: |
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61 def __init__(self): |
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62 X=0 |
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63 Y=0 |
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64 |
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65 def __str__(self): |
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66 return "(X:" + str(self.X) + ", Y:" + str(self.Y) + ")" |
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67 |
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68 def pluseq(self,b): |
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69 self.X += b.X |
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70 self.Y += b.Y |
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71 |
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72 def minuseq(self,b): |
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73 self.X -= b.X |
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74 self.Y -= b.Y |
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75 |
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76 def make(self,x,y): |
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77 self.X=x |
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78 self.Y=y |
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79 return self |
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80 |
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81 def equals(self,b): |
20 | 82 if self.X==b.X and self.Y==b.Y: return 1 |
0
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83 return 0 |
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84 |
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85 def less(self,b): |
20 | 86 if self.Y<b.Y or (self.Y==b.Y and self.X<b.X): return 1 |
0
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87 return 0 |
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88 |
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89 def greater(self,b): |
20 | 90 if self.Y>b.Y or (self.Y==b.Y and self.X>b.X): return 1 |
0
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91 return 0 |
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92 |
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93 # generic rectangle class |
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94 class IRect: |
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95 def __init__(self): #initializes to an invalid rectangle |
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96 self.left=999999 |
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97 self.top=999999 |
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98 self.right=-999999 |
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99 self.bottom=-999999 |
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100 |
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101 def __str__(self): |
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102 return "[ left:"+str(self.left)+", top:"+str(self.top)+", right:"+str(self.right)+", bottom:"+str(self.bottom)+" ]" |
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103 |
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104 def ToPoly(self): |
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105 thelist = [] |
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106 thelist.append(IPoint().make(self.left,self.top)) |
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107 thelist.append(IPoint().make(self.right,self.top)) |
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108 thelist.append(IPoint().make(self.right,self.bottom)) |
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109 thelist.append(IPoint().make(self.left,self.bottom)) |
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110 return thelist |
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111 |
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112 def Width(self): |
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113 return self.right-self.left+1 |
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114 |
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115 def Height(self): |
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116 return self.bottom-self.top+1 |
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117 |
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118 def GetX(self): |
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119 return self.left |
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120 |
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121 def GetY(self): |
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122 return self.top |
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123 |
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124 def GetW(self): |
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125 return self.right-self.left+1 |
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126 |
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127 def GetH(self): |
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128 return self.bottom-self.top+1 |
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129 |
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130 def Size(self): |
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131 return IPoint().make(self.right-self.left+1,self.bottom-self.top+1) |
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132 |
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133 def TopLeft(self): |
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134 return IPoint().make(self.left,self.top) |
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135 |
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136 def BottomRight(self): |
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137 return IPoint().make(self.right,self.bottom) |
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138 |
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139 def Bounds(self): |
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140 return IRect().make(0,0,self.right-self.left,self.bottom-self.top) |
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141 |
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142 def Resize(self,nL,nT,nR,nB): |
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143 self.left+=nL |
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144 self.top+=nT |
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145 self.right+=nR |
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146 sel.bottom+=nB |
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147 |
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148 def IsValid(self): |
20 | 149 if (self.left<=self.right and self.top<=self.bottom): return 1 |
0
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150 return 0 |
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151 |
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152 def add(self,pt): |
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153 return IRect().make(self.left+pt.X,self.top+pt.Y,self.right+pt.X,self.bottom+pt.Y) |
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154 |
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155 def subtract(self,pt): |
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156 return IRect().make(self.left+pt.X,self.top+pt.Y,self.right+pt.X,self.bottom+pt.Y) |
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157 |
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158 def intersect(self,rect): |
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159 return IRect().make(max(self.left,rect.left),max(self.top,rect.top),min(self.right,rect.right),min(self.bottom,rect.bottom)) |
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160 |
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161 def union(self,rect): |
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162 return IRect().make(min(self.left,rect.left),min(self.top,rect.top),max(self.right,rect.right),max(self.bottom,rect.bottom)) |
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163 |
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164 def equals(self,rect): |
20 | 165 if (self.top==rect.top and self.bottom==rect.bottom and self.left==rect.left and self.right==rect.right): return 1 |
0
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166 return 0 |
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167 |
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168 def make(self,l,t,r,b): |
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169 self.left=l |
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170 self.right=r |
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171 self.top=t |
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172 self.bottom=b |
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173 return self |
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174 |
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175 # A span is a single, contiguous horizontal line. The routine scan_convert |
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176 # returns a list of these that describe the polygon |
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177 class ISpan: |
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178 def __init__(self,x1,x2,ypos): |
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179 self.left=x1 |
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180 self.right=x2 |
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181 self.y=ypos |
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182 |
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183 def __str__(self): |
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184 return "(" + str(self.left) + " to " + str(self.right) + " at " + str(self.y) + ")" |
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185 |
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186 # clipping rectangle class -- this class is a single node in a linked list |
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187 # of rectangles that describe a region |
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188 |
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189 class ClipRect: |
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190 def __init__(self): |
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191 self.next=None |
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192 self.prev=None |
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193 self.bounds=IRect().make(0,0,0,0) |
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194 |
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195 |
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196 # cliprectlist -- the container class that manages a list of cliprects |
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197 class ClipRectList: |
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198 def __init__(self): |
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199 self.first=None |
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200 self.last=None |
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201 self.count=0 |
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202 |
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203 def __str__(self): |
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204 x="[" |
20 | 205 for y in self.GetList(): x+=" "+str(y.bounds)+" " |
0
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206 x+="]" |
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207 return x |
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208 |
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209 #remove all rectangles from list |
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210 def Clear(self): |
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211 while(self.first): |
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212 rect=self.first |
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213 self.first=self.first.next |
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214 del rect |
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215 self.last=None |
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216 self.count=0 |
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217 |
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218 #add a new clipping rectangle to list |
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219 def AddRect(self,rect): |
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220 rect.prev=None |
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221 rect.next=self.first |
20 | 222 if not (self.first is None): self.first.prev=rect |
0
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223 self.first=rect |
20 | 224 if self.last is None: self.last=rect |
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225 self.count += 1 |
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226 |
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227 #removes the passed clipping rectangle from the list |
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228 def RemoveRect(self,rect): |
20 | 229 if not (rect.prev is None): rect.prev.next=rect.next |
230 else: self.first=rect.next | |
231 if not (rect.next is None): rect.next.prev=rect.prev | |
232 else: self.last=rect.prev | |
0
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233 self.count -= 1 |
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234 |
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235 # find the clipping rectangle at the the beginning of the list, remove it, |
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236 # and return it |
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237 def RemoveHead(self): |
20 | 238 if self.count==0: return None |
0
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239 rect=self.first |
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240 self.first=rect.next |
20 | 241 if (self.first is None): self.last=None |
0
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242 self.count -= 1 |
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243 return rect |
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244 |
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245 # stealrects -- appends the list of clipping rectangles in pclist to the current |
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246 # list. removes the entries from pclist |
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247 def StealRects(self,pclist): |
20 | 248 if pclist.first is None: return |
0
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249 if self.first is None: |
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250 self.first=pclist.first |
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251 self.last=pclist.last |
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252 else: |
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253 self.last.next=pclist.first |
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254 pclist.first.prev=self.last |
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255 self.last=pclist.last |
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256 self.count += pclist.count |
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257 pclist.first = None |
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258 pclist.last = None |
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259 pclist.count = 0 |
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260 |
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261 # utilitarian procedure to return all clipping rectangles as a Python list |
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262 def GetList(self): |
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263 result=[] |
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264 f = self.first |
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265 while f: |
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266 result.append(f) |
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267 f = f.next |
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268 return result |
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269 |
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270 # some utility procedures, defined outside the scope of any class to ensure |
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271 # efficiency |
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272 |
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273 def _hSortCmp(rect1,rect2): |
20 | 274 if (rect1.bounds.left<rect2.bounds.left): return -1 |
275 if (rect1.bounds.left>rect2.bounds.left): return 1 | |
276 if (rect1.bounds.top<rect2.bounds.top): return -1 | |
277 if (rect1.bounds.top>rect2.bounds.top): return 1 | |
0
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278 return 0 |
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279 |
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280 def _vSortCmp(rect1,rect2): |
20 | 281 if (rect1.bounds.top<rect2.bounds.top): return -1 |
282 if (rect1.bounds.top>rect2.bounds.top): return 1 | |
283 if (rect1.bounds.left<rect2.bounds.left): return -1 | |
284 if (rect1.bounds.left>rect2.bounds.left): return 1 | |
0
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285 return 0 |
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286 |
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287 # this is the class for which this whole source file is designed! |
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288 # a Region is maintained as an optimal set of non-intersecting rectangles |
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289 # whose union is the 2D area of interest. At the end of each of the public |
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290 # procedures that may alter the region's structure, the set of rectangles is |
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291 # passed through an optimization phase, that joins any rectangles that are found |
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292 # to be adjacent and can be combined into a single, larger rectangle |
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293 |
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294 class IRegion: |
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295 def __init__(self): |
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296 self.crects=ClipRectList() |
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297 self.firstclip=None |
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298 |
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299 def __AllocClipRect(self): |
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300 return ClipRect() |
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301 |
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302 def __FreeClipRect(self,p): |
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303 del p |
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304 |
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305 def Clear(self): |
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306 self.crects.Clear() |
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307 |
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308 def isEmpty(self): |
20 | 309 if self.crects.first: return 0 |
0
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310 return 1 |
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311 |
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312 def Copy(self,dest): |
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313 dest.Clear() |
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314 p=self.crects.first |
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315 while p: |
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316 dest.__AddRect(p.bounds) |
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317 p=p.next |
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318 |
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319 def __AddRect(self,rect): |
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320 cr=self.__AllocClipRect() |
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321 cr.bounds=IRect().make(rect.left,rect.top,rect.right,rect.bottom) |
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322 self.crects.AddRect(cr) |
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323 return cr |
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324 |
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325 # This is the magic procedure that always makes it possible to merge adjacent |
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326 # rectangles later. It is called once for each rectangle to be combined |
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327 # with the current region. Basically, it dices the current region into |
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328 # horizontal bands where any rectangle is found to be beside the one being |
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329 # examined. This tends to leave more rectangles than necessary in the region, |
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330 # but they can be culled during the optimization phase when they are combined |
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331 # with adjacent rectangles. |
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332 |
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333 def __Examine(self,rect): |
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334 newlist = ClipRectList() |
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335 while not (self.crects.first is None): |
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336 p = self.crects.RemoveHead() |
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337 if (p.bounds.right+1==rect.left or p.bounds.left==rect.right+1): |
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338 if (p.bounds.top<rect.top and p.bounds.bottom>rect.bottom): |
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339 cnew=[IRect().make(p.bounds.left,p.bounds.top,p.bounds.right,rect.top-1), |
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340 IRect().make(p.bounds.left,rect.top,p.bounds.right,rect.bottom), |
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341 IRect().make(p.bounds.left,rect.bottom+1,p.bounds.right,p.bounds.bottom)] |
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342 elif (p.bounds.top<rect.top and p.bounds.bottom>rect.top): |
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343 cnew=[IRect().make(p.bounds.left,p.bounds.top,p.bounds.right,rect.top-1), |
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344 IRect().make(p.bounds.left,rect.top,p.bounds.right,p.bounds.bottom)] |
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345 elif (p.bounds.top<rect.bottom and p.bounds.bottom>rect.bottom): |
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346 cnew=[IRect().make(p.bounds.left,p.bounds.top,p.bounds.right,rect.bottom), |
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347 IRect().make(p.bounds.left,rect.bottom+1,p.bounds.right,p.bounds.bottom)] |
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348 else: |
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349 cnew=[IRect().make(p.bounds.left,p.bounds.top,p.bounds.right,p.bounds.bottom)] |
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350 self.__FreeClipRect(p) |
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351 for i in cnew: |
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352 if (i.IsValid()): |
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353 newclip=self.__AllocClipRect() |
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354 newclip.bounds=i |
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355 newlist.AddRect(newclip) |
20 | 356 else: newlist.AddRect(p) |
0
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357 self.crects.StealRects(newlist) |
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358 |
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359 def __IncludeRect(self,rect): |
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360 tmprg=IRegion() |
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361 tmprg.__AddRect(rect) |
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362 p = self.crects.first |
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363 while p: |
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364 tmprg.__ExcludeRect(p.bounds) |
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365 p = p.next |
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366 self.crects.StealRects(tmprg.crects) |
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367 |
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368 def IncludeRect(self,rect): |
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369 tmprg = IRegion() |
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370 tmprg.Clear() |
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371 tmprg.__AddRect(rect) |
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372 self.__Examine(rect) |
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373 p= self.crects.first |
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374 while p: |
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375 tmprg.__Examine(p.bounds) |
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376 p=p.next |
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377 p=tmprg.crects.first |
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378 while p: |
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379 self.__IncludeRect(p.bounds) |
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380 p=p.next |
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381 self.Optimize() |
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382 |
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383 def IncludeRegion(self,regn): |
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384 tmprg = IRegion() |
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385 regn.Copy(tmprg) |
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386 p = self.crects.first |
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387 while p: |
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388 tmprg.__Examine(p.bounds) |
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389 p=p.next |
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390 p = tmprg.crects.first |
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391 while p: |
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392 self.__Examine(p.bounds) |
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393 self.__IncludeRect(p.bounds) |
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|
394 p = p.next |
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|
395 self.Optimize() |
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|
396 |
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397 def __ExcludeRect(self,rect): |
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398 newlist=ClipRectList() |
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399 while not (self.crects.first is None): |
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400 pcclip=self.crects.RemoveHead() |
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401 hide=rect.intersect(pcclip.bounds) |
20 | 402 if not hide.IsValid(): newlist.AddRect(pcclip) |
0
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403 else: |
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404 #make 4 new rectangles to replace the one taken out |
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405 # |
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406 # AAAAAAAAAAAA |
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407 # AAAAAAAAAAAA |
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408 # BBBB CCCC |
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409 # BBBB CCCC |
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410 # DDDDDDDDDDDD |
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411 # DDDDDDDDDDDD |
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412 # the center rectangle is the one to remove, rectangles A,B,C and D |
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413 # get created. If the rectangle is not in the middle, then the |
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414 # corresponding rectangle that should have been on "that side" of |
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415 # the current rectangle will have IsValid==False, so it will be |
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416 # rejected. |
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417 cnew=[IRect().make(pcclip.bounds.left,hide.top,hide.left-1,hide.bottom), |
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418 IRect().make(hide.right+1,hide.top,pcclip.bounds.right,hide.bottom), |
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419 IRect().make(pcclip.bounds.left,hide.bottom+1,pcclip.bounds.right,pcclip.bounds.bottom), |
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420 IRect().make(pcclip.bounds.left,pcclip.bounds.top,pcclip.bounds.right,hide.top-1) ] |
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421 self.__FreeClipRect(pcclip) |
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422 for i in cnew: |
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423 if (i.IsValid()): |
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424 newclip=self.__AllocClipRect() |
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425 newclip.bounds=i |
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426 newlist.AddRect(newclip) |
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427 self.crects.last=None |
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428 self.crects.StealRects(newlist) |
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429 self.Optimize() |
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430 |
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431 def ExcludeRect(self,rect): |
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432 self.__ExcludeRect(rect) |
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433 self.Optimize() |
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|
434 |
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|
435 def ExcludeRegion(self,reg): |
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436 pclist = reg.crects.first |
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437 while pclist: |
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438 self.__ExcludeRect(pclist.bounds) |
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439 pclist = pclist.next |
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|
440 self.Optimize() |
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|
441 |
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442 def __IntersectRect(self,rect): |
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443 newlist=ClipRectList() |
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444 while not self.crects.first is None: |
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|
445 pcclip=self.crects.RemoveHead() |
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446 hide=rect.intersect(pcclip.bounds) |
20 | 447 if not hide.IsValid(): newlist.AddRect(pcclip) |
0
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|
448 else: |
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449 cnew=[IRect().make(pcclip.bounds.left,hide.top,hide.left-1,hide.bottom), |
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450 IRect().make(hide.right+1,hide.top,pcclip.bounds.right,hide.bottom), |
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|
451 IRect().make(pcclip.bounds.left,hide.bottom+1,pcclip.bounds.right,pcclip.bounds.bottom), |
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|
452 IRect().make(pcclip.bounds.left,pcclip.bounds.top,pcclip.bounds.right,hide.top-1) ] |
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453 self.__FreeClipRect(pcclip) |
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|
454 for i in cnew: |
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changeset
|
455 if (i.IsValid()): |
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|
456 newclip=self.__AllocClipRect() |
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|
457 newclip.bounds=i |
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|
458 newlist.AddRect(newclip) |
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459 self.crects.last = None |
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|
460 self.crects.StealRects(newlist) |
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|
461 |
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|
462 def IntersectRect(self,rect): |
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463 self.__IntersectRect(rect) |
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|
464 self.Optimize() |
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|
465 |
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|
466 def IntersectRegion(self,reg): |
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|
467 clist=ClipRectList() |
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468 pcvclip = reg.crects.first |
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|
469 while pcvclip: |
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470 pchclip = self.crects.first |
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|
471 while pchclip: |
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472 crect=pcvclip.bounds.intersect(pchclip.bounds) |
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|
473 if crect.IsValid(): |
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changeset
|
474 newclip=self.__AllocClipRect() |
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changeset
|
475 newclip.bounds=crect |
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|
476 clist.AddRect(newclip) |
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changeset
|
477 pchclip = pchclip.next |
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changeset
|
478 pcvclip = pcvclip.next |
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|
479 self.Clear() |
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|
480 self.crects.StealRects(clist) |
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|
481 self.Optimize() |
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|
482 |
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|
483 def GetBounds(self): |
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|
484 bounds=IRect() |
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changeset
|
485 pcclip = self.crects.first |
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|
486 while pcclip: |
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|
487 bounds=bounds.union(pcclip.bounds) |
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|
488 pcclip = pcclip.next |
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|
489 return bounds |
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|
490 |
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|
491 def Optimize(self): |
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changeset
|
492 clist=self.crects.GetList() |
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|
493 removed=[] |
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|
494 keepgoing = 1 |
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|
495 while len(clist)>1 and keepgoing: |
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|
496 keepgoing=0 |
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|
497 clist.sort(lambda a,b:_vSortCmp(a,b)) |
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498 keys=range(len(clist)-1) |
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|
499 keys.reverse() |
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|
500 for i in keys: |
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501 if (clist[i].bounds.right==clist[i+1].bounds.left-1 and |
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502 clist[i].bounds.top==clist[i+1].bounds.top and |
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|
503 clist[i].bounds.bottom==clist[i+1].bounds.bottom): |
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|
504 clist[i].bounds.right=clist[i+1].bounds.right |
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505 x=clist[i+1] |
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|
506 del clist[i+1] |
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507 self.crects.RemoveRect(x) |
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|
508 self.__FreeClipRect(x) |
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|
509 keepgoing=1 |
20 | 510 if len(clist)<=1: break |
0
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511 clist.sort(lambda a,b:_hSortCmp(a,b)) |
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512 keys=range(len(clist)-1) |
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513 keys.reverse() |
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514 for i in keys: |
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515 if (clist[i].bounds.bottom==clist[i+1].bounds.top-1 and |
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516 clist[i].bounds.left==clist[i+1].bounds.left and |
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517 clist[i].bounds.right==clist[i+1].bounds.right): |
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518 clist[i].bounds.bottom=clist[i+1].bounds.bottom |
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519 x=clist[i+1] |
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520 del clist[i+1] |
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521 self.crects.RemoveRect(x) |
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522 self.__FreeClipRect(x) |
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523 keepgoing=1 |
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524 |
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525 def FromPolygon(self,polypt,mode): |
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526 thelist=self.scan_Convert(polypt) |
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527 for i in thelist: |
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528 r=IRect().make(i.left,i.y,i.right,i.y) |
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529 if mode: |
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530 self.__Examine(r) |
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531 self.__IncludeRect(r) |
20 | 532 else: self.__ExcludeRect(r) |
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533 self.Optimize() |
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534 |
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535 def GetRectList(self): |
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536 result=[] |
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537 i = self.crects.first |
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538 while i: |
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539 result.append(i.bounds) |
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540 i = i.next |
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541 return result |
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542 |
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543 #Portable implementation to scan-convert a polygon |
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544 #from algoritm described in Section 3.6.3 of Foley, et al |
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545 #returns a (possibly redundant) list of spans that comprise the polygon |
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546 #this routine does not manipulate the current region in any way, but |
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547 #is enclosed in this class to isolate its name from the global namespace |
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548 #invoke via IRegion().scan_Convert(polypt) |
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549 |
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550 def scan_Convert(self,polypt): |
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551 result=[] |
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552 ET = {} # edge table |
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553 i = 0 |
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554 size = len(polypt) |
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555 polylines=[] # list of lines in polygon |
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556 y = -1 |
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557 for i in xrange(size): |
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558 n = (i+1) % size |
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559 if polypt[i].Y < polypt[n].Y: |
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560 e = Edge(polypt[i],polypt[n]) |
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561 e.dir = 1 #moving top to bottom |
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562 polylines.append(e) |
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563 elif polypt[i].Y > polypt[n].Y: |
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564 e = Edge(polypt[n],polypt[i]) |
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565 e.dir = -1 #moving bottom to top |
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566 polylines.append(e) |
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567 elif polypt[i].X != polypt[n].X: # any horizontal lines just get added directly |
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568 sx = min(polypt[i].X,polypt[n].X) |
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569 ex = max(polypt[i].X,polypt[n].X) |
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570 result.append(ISpan(sx,ex,polypt[i].Y)) |
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571 size = len(polylines) |
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572 for i in xrange(size): |
20 | 573 if i == 0 and polylines[i].dir == -1: n = size-1 |
574 elif (polylines[i].dir == -1): n = i-1 | |
575 else: n = (i+1) % size | |
576 if (polylines[i].dir != polylines[n].dir): polylines[i].bottom = 1 | |
577 if i == 0 or polylines[i].starty < y: y = polylines[i].starty | |
578 if not ET.has_key(polylines[i].starty): ET[polylines[i].starty] = [] | |
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579 ET[polylines[i].starty].append(polylines[i]) #add to edge table, indexed by smaller y coordinate |
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580 AET = [] #active edge table |
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581 while len(AET) > 0 or len(ET) > 0: |
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582 if ET.has_key(y): #if current y value has entries in edge tabe |
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583 AET.extend(ET[y]) # add them to active edge table |
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584 del ET[y] #and delete the entries in the edge table |
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585 i = len(AET)-1 |
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586 vals = [] |
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587 while i >= 0: |
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588 if (AET[i].endy == y): #if at the end of this edge's run |
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589 if (AET[i].bottom): #check and see if we need one more point |
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590 vals.append(AET[i].cx) #we do, add it |
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591 del AET[i] # y=end of edge, so remove it |
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592 i -= 1 |
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593 i = 0 |
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594 while i < len(AET): # for every edge in AET |
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595 vals.append(AET[i].cx) # add x intercept |
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596 AET[i].advance() #and advance the edge one down |
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597 i += 1 |
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598 vals.sort() |
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599 i = 0 |
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600 while i < len(vals)-1: #split vals[] array into pairs and output them |
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601 result.append(ISpan(vals[i],vals[i+1],y)) |
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602 i += 2 |
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603 y += 1 |
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604 return result |