Mercurial > traipse_dev
annotate orpg/mapper/map_utils.py @ 81:65c212e9a5b4 ornery-dev
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author | sirebral |
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date | Wed, 26 Aug 2009 23:24:45 -0500 |
parents | 449a8900f9ac |
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rev | line source |
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71
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Code refining almost completed, for this round. Some included files are still in need of some clean up, but this is test worthy.
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1 """ |
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2 file: map_utils.py |
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3 |
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4 This file contains generic utility functions |
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5 for use in the openrpg mapping system |
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6 """ |
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7 |
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8 import math |
71
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9 """ |
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10 distance_between() |
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11 Returns the distance between two points |
449a8900f9ac
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12 """ |
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13 def distance_between( x1, y1, x2, y2 ): |
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14 "Returns the distance between two points" |
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15 dx = x2 - x1 |
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16 dy = y2 - y1 |
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17 return math.sqrt( dx*dx + dy*dy ) |
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18 |
71
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Code refining almost completed, for this round. Some included files are still in need of some clean up, but this is test worthy.
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19 """ |
449a8900f9ac
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20 proximity_test() |
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21 Tests if 'test_point' (T) is close (within 'threshold' units) to the |
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22 line segment 'start_point' to 'end_point' (PQ). |
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23 |
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24 The closest point (R) to T on the line PQ is given by: |
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25 R = P + u (Q - P) |
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26 TR is perpendicular to PQ so: |
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27 (T - R) dot (Q - P) = 0 |
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28 Solving these two equations gives the equation for u (see below). |
449a8900f9ac
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29 |
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30 If u < 0 or u > 1 then R is not within the line segment and we simply |
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31 test against point P or Q. |
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32 """ |
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33 def proximity_test( start_point, end_point, test_point, threshold ): |
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34 "Test if a point is close to a line segment" |
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35 x1,y1 = start_point |
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36 x2,y2 = end_point |
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37 xt,yt = test_point |
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38 x1 = float(x1) |
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39 x2 = float(x2) |
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40 y1 = float(y1) |
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41 y2 = float(y2) |
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42 xt = float(xt) |
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43 yt = float(yt) |
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44 |
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45 # Coincident points? |
20 | 46 if x1 == x2 and y1 == y2: d = distance_between(xt, yt, x1, y1) |
0
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47 else: |
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48 dx = x2 - x1 |
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49 dy = y2 - y1 |
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50 u = ((xt - x1) * dx + (yt - y1) * dy) / (dx*dx + dy*dy) |
20 | 51 if u < 0: d = distance_between(xt, yt, x1, y1) |
52 elif u > 1: d = distance_between(xt, yt, x2, y2) | |
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53 else: |
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54 xr = x1 + u * dx |
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55 yr = y1 + u * dy |
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56 d = distance_between(xt, yt, xr, yr) |
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57 return d <= threshold |