ren.avm 34 KB

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  1. #
  2. # These are some functions for rendering functions of two variables as a
  3. # surface.
  4. #
  5. # The main one is the rendering function, which takes an argument of the
  6. # form ((observer,eccentricty),visualization) to a rendering of the
  7. # surface expressed in a LaTeX picture enviornment with pstricks
  8. # commands.
  9. #
  10. # The observer can be a list of floating point numbers <x,y,z> giving
  11. # the coordinates of the focal point for the image, using a coordinate
  12. # system wherein the surface is inscribed in the cube in the first
  13. # octant bounded by the origin and <1,1,1>. Alternatively, the observer
  14. # can be a string of the form (i|o)(l|m|h)(e|n|w|s)(+|-) specifying the
  15. # distance (in or out), the elevation (low, medium or high), and the
  16. # azimuth (north, south, east or west, with + or - for a slight positive
  17. # or negative angular displacement, respectively) assuming the north
  18. # direction coincides with the positive y axis and east with the
  19. # positive x axis.
  20. #
  21. # The eccentricity can be empty or can be a pair of floating point
  22. # numbers (x,y) specifying an elongation in the x and y directions of
  23. # the cube in 3-space in which the surface is inscribed. Equal values
  24. # greater than one specify a pizza box shape, and less than one specify
  25. # a tower. Unequal values specify a rectangular prism. Observer
  26. # coordinates are automatically displaced consistently with the
  27. # eccentricity.
  28. #
  29. # The visualization contains a family of curves specifying the surface,
  30. # with equally many points on each one. The peg fields and pegaxis
  31. # should be initialized with the y values and the abscissa with the x
  32. # values. True perspective is obtained only when a square picture frame
  33. # or at least a square viewport are specified, but the image will be
  34. # scaled to fit any given viewport. Displacements and rotations may
  35. # be specified for the axis labels and are supported.
  36. #
  37. # Another useful function in this module is drafts, which takes an
  38. # eccentricity and a visualization, as above, and generates 48 different
  39. # views in a free standing LaTeX document.
  40. #
  41. # Copyright (C) 2007-2010 Dennis Furey
  42. #
  43. # recommended_observers (10479)
  44. # back_lit_rendering (209657)
  45. # drafts (224623)
  46. # left_lit_rendering (209660)
  47. # rendering (210557)
  48. # right_lit_rendering (209660)
  49. #
  50. # compressed with granularity 182
  51. #
  52. #
  53. # This program is free software; you can redistribute it and/or modify
  54. # it under the terms of the GNU General Public License as published by
  55. # the Free Software Foundation; version 3.
  56. #
  57. # This program is distributed in the hope that it will be useful,
  58. # but WITHOUT ANY WARRANTY; without even the implied warranty of
  59. # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
  60. # GNU General Public License for more details.
  61. #
  62. # You should have received a copy of the GNU General Public License
  63. # along with this program; if not, write to the Free Software Foundation,
  64. # Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
  65. #
  66. {iwkwowzsKxz{gJc{w{KKwNoAJ_jewwlz{d_gS{[ZmKzwr{owzyN<>ZRkzZ{zZ[ZfVtwv{Kkw{FRt=m
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  167. DUY\kl<VvfkArUv]uH`[pk{fvCrCtvvIsWLookJQuRhhqQLt{rwKvfffffffffnfffffffdffffffff
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  170. oiKvoGHoIHoHoHoIHo@oHpoPoHoHoHfphhqGQNFwo>][Q<@wn^Ua\gbTBuk<Scn<S<RebTH=UbMj]x=
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