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ZonjaCapalini on 07/21/09


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generator 10 for Klein V bottle Zonja Opensim


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Klein bottle generator


 / Published in: Other
 

URL: http://zonjacapalini.wordpress.com/2009/07/20/2889-working-with-very-large-linksets-in-opensim/

  1. // Time to sleep between rezzes -- avoids compile errors
  2. float sleep = 1;
  3. // Number of "slices"
  4. integer m = 120;
  5. // Number of "stripes"
  6. integer n = 8;
  7. // Name of the rezzed object (must exist in inv)
  8. string edgeprimname = "Cylinder";
  9.  
  10. // Rezz a segment between 2 given points, assign its color color
  11. // Mod of a routine found here:
  12. // http://lslwiki.net/lslwiki/wakka.php?wakka=LibraryBezierCurveDemo
  13. // Original credits follow:
  14. // Bezier Curve Demo 1.0.1
  15. // Catherine Omega Heavy Industries
  16. // Modified by Lionel Forager 29-12-2006:
  17. // Added segment drawing between points. Corrected minor bugs.
  18. drawLineSegment(vector base, vector p1,vector p2, integer order)
  19. {
  20. // Calc the position of the center of the segment
  21. vector center = (p1+p2)/2.;
  22. vector localZ = p2 - p1;
  23. // Get distance between points
  24. float distance= llVecMag(localZ);
  25. // Normalize the vector
  26. localZ = localZ / distance;
  27.  
  28. vector xAxis;
  29. // Let's choose as x local axis the direction of a vector normal
  30. // to localZ and contained in the plain given by localZ and global X
  31. // or global Y, the one that is less parallel to localZ
  32. if ( localZ.x < localZ.y ) xAxis= <1.,0.,0.>;
  33. else xAxis= <0.,1.,0.>;
  34.  
  35. // localX is the one contain in the plane given by localZ and xAxis
  36. // that is normal to localZ. That is, localX = xAxis - localZ*xaxis*localZ.
  37. // We should normalize the vector to get a unitary one.
  38. vector localX= xAxis - (localZ * xAxis) * localZ;
  39. localX= llVecNorm(localX);
  40.  
  41. // Now get the rotation to put axis Z oriented pointing
  42. // to the direction between the two given points.
  43. rotation rot = llAxes2Rot(localX,localZ % localX, localZ);
  44.  
  45. // Rezz the cylinder!
  46. llRezObject(edgeprimname,base + center,ZERO_VECTOR,rot,(integer) (distance*1000)*100+order);
  47.  
  48. // Avoid clogging the queue and subsequent compile problems
  49. llSleep(sleep);
  50. }
  51.  
  52.  
  53. default
  54. {
  55.  
  56. touch_start(integer total_number)
  57. {
  58.  
  59. llSay(0, "Generating Klein bottle...");
  60.  
  61. integer i;
  62. integer j;
  63. float a = 2;
  64. float b = 7;
  65. float c = 2;
  66. float r;
  67. float u;
  68. float v;
  69. float x;
  70. float y;
  71. float z;
  72. list oldcoor = [];
  73. list firstcoor = [];
  74. list coor = [];
  75. vector prevpos;
  76. rotation rot;
  77.  
  78. for (i = 0; i <= m; i++) {
  79. // llSay(0,"Looping I="+(string)i+" of "+(string)m);
  80.  
  81. for (j = 0; j < n; j++) {
  82. // llSay(0," Looping J="+(string)j+" of "+(string)n);
  83.  
  84. u = 2 * PI * i / m;
  85. v = 2 * PI * j / n;
  86.  
  87. if (n % 2 == 1) v += PI / n * i/m;
  88.  
  89. r = c * (1 - llCos(u) / 2);
  90.  
  91. // See PlanetMath,
  92. // http://planetmath.org/?op=getobj&from=objects&id=4249
  93.  
  94. if (u < PI) {
  95. x = a * llCos(u) * (1 + llSin(u)) + r * llCos(u) * llCos(v);
  96. y = b * llSin(u) + r * llSin(u) * llCos(v);
  97. } else {
  98. x = a * llCos(u) * (1 + llSin(u)) + r * llCos(v + PI);
  99. y = b * llSin(u);
  100. };
  101.  
  102. z = r * llSin(v);
  103.  
  104.  
  105. // draw "horizontal" lines
  106. if (j > 0) {
  107. prevpos = llList2Vector(coor,j-1);
  108. drawLineSegment(llGetPos(),prevpos,<x,y,z>,j);
  109. };
  110.  
  111. if (j == n-1) {
  112. prevpos = llList2Vector(coor,0);
  113. drawLineSegment(llGetPos(),prevpos,<x,y,z>,0);
  114. };
  115.  
  116.  
  117. // draw "vertical" and diagonal lines
  118. if (i > 0) {
  119.  
  120. prevpos = llList2Vector(oldcoor,j);
  121. drawLineSegment(llGetPos(),prevpos,<x,y,z>,j);
  122.  
  123. if (j > 0) prevpos = llList2Vector(oldcoor,j-1);
  124. else prevpos = llList2Vector(oldcoor,n-1);
  125. drawLineSegment(llGetPos(),prevpos,<x,y,z>,j);
  126.  
  127. };
  128.  
  129.  
  130. // if (i < m) llRezObject("Vertex", llGetPos() + <x,y,z>,
  131. // <0.0,0.0,0.0>, <0.0,0.0,0.0,1.0>, 0);
  132.  
  133. coor = coor + [<x,y,z>];
  134.  
  135. };
  136.  
  137. if (i == 0) firstcoor = coor;
  138. oldcoor = coor;
  139. coor = [];
  140.  
  141. };
  142. llSay(0, "Done!");
  143. }
  144. }

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