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epicycle (1)
  • >> epicycle (1) ( Solaris man: Команды и прикладные программы пользовательского уровня )
  • epicycle (1) ( Linux man: Команды и прикладные программы пользовательского уровня )
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    NAME
         epicycle - draws a point moving around a circle which  moves
         around a cicle which...
    
    SYNOPSIS
         epicycle [-display  host:display.screen]  [-root]  [-window]
         [-mono]  [-install]  [-noinstall]  [-visual viz] [-colors N]
         [-foreground name] [-color-shift  N]  [-delay  microseconds]
         [-holdtime   seconds]   [-linewidth   N]   [-min_circles  N]
         [-max_circles N]  [-min_speed  number]  [-max_speed  number]
         [-harmonics  N]  [-timestep number] [-divisor_poisson proba-
         bility] [-size_factor_min number] [-size_factor_max number]
    
    DESCRIPTION
         The epicycle program draws the path traced out by a point on
         the edge of a circle.  That circle rotates around a point on
         the rim of another circle, and so on,  several  times.   The
         random  curves  produced can be simple or complex, convex or
         concave, but they are always closed curves (they never go in
         indefinitely).
    
         You can configure both the way the curves are drawn and  the
         way  in  which  the random sequence of circles is generated,
         either with command-line options or X resources.
    
    OPTIONS
         -display host:display.screen
                 Specifies which X display we  should  use  (see  the
                 section  DISPLAY  NAMES in X(1) for more information
                 about this option).
    
         -root   Draw on the root window.
    
         -window Draw  on  a  newly-created  window.   This  is   the
                 default.
    
         -mono   If on a color display, pretend we're on a monochrome
                 display.   If  we're  on  a mono display, we have no
                 choice.
    
         -install
                 Install a private colormap for the window.
    
         -noinstall
                 Don't install a private colormap for the window.
    
         -visual viz
                 Specify which visual to use.  Legal values  are  the
                 name of a visual class, or the id number (decimal or
                 hex) of a specific visual.  Possible choices include
    
                 default, best, mono, monochrome, gray, grey,  color,
                 staticgray,   staticcolor,   truecolor,   grayscale,
                 greyscale, pseudocolor, directcolor, number
    
                 If  a  decimal  or  hexadecimal  number   is   used,
                 XGetVisualInfo(3X)   is   consulted  to  obtain  the
                 required visual.
    
         -colors N
                 How many colors should be used (if  possible).   The
                 colors are chosen randomly.
    
         -foreground name
                 With  -mono,  this  option  selects  the  foreground
                 colour.
    
         -delay microseconds
                 Specifies the delay between drawing successive  line
                 segments of the path.   If you do not specify -sync,
                 some X servers may batch up several  drawing  opera-
                 tions  together,  producing  a  less  smooth effect.
                 This is more likely to happen in monochrome mode (on
                 monochrome servers or when -mono is specified).
    
         -holdtime seconds
                 When the figure is complete,  epicycle  pauses  this
                 number of seconds.
    
         -linewidth N
                 Width in pixels of the  body's  track.    Specifying
                 values  greater  than  one may cause slower drawing.
                 The fastest  value  is  usually  zero,  meaning  one
                 pixel.
    
         -min_circles N
                 Smallest number of epicycles in the figure.
    
         -max_circles N
                 Largest number of epicycles in the figure.
    
         -min_speed number
                 Smallest possible value for the base speed of  revo-
                 lution  of  the epicycles.  The actual speeds of the
                 epicycles vary from this down to min_speed / harmon-
                 ics.
    
         -max_speed number
                 Smallest possible value for the base speed of  revo-
                 lution of the epicycles.
    
         -harmonics N
                 Number of possible harmonics; the larger this  value
                 is,  the  greater  the  possible variety of possible
                 speeds of epicycle.
    
         -timestep number
                 Decreasing this value will reduce the  distance  the
                 body moves for each line segment, possibly producing
                 a smoother figure.  Increasing it may produce faster
                 results.
    
         -divisor_poisson probability
                 Each epicycle rotates at a rate which is a factor of
                 the  base  speed.  The speed of each epicycle is the
                 base speed divided by some integer between 1 and the
                 value  of  the  -harmonics  option.  This integer is
                 decided by starting at 1 and tossing a biased  coin.
                 For  each consecutive head, the value is incremented
                 by one.  The integer will not be  incremented  above
                 the value of the -harmonics option.  The argument of
                 this option decides the bias of the coin; it is  the
                 probability  that  that  coin will produce a head at
                 any given toss.
    
         -size_factor_min number
                 Epicycles are always at least  this  factor  smaller
                 than their parents.
    
         -size_factor_max number
                 Epicycles are never more than  this  factor  smaller
                 than their parents.
    
    RESOURCES
              Option            Resource               Default Value
              ------            --------               -------------
              -colors           .colors                100
              -delay            .delay                 1000
              -holdtime         .holdtime              2
              -linewidth        .lineWidth             4
              -min_circles      .minCircles            2
              -max_circles      .maxCircles            10
              -min_speed        .minSpeed              0.003
              -max_speed        .maxSpeed              0.005
              -harmonics        .harmonics             8
              -timestep         .timestep              1.0
              -divisor_poisson  .divisorPoisson        0.4
              -size_factor_min  .sizeFactorMin         1.05
              -size_factor_max  .sizeFactorMax         2.05
                                .timestepCoarseFactor  1.0
    
         Before the drawing of the figure  is  begun,  a  preliminary
         calculation  of the path is done in order to scale the radii
         of the epicycles so as to fit the figure on  the  screen  or
         window.   For  the  sake  of speed, This calculation is done
         with a larger timestep than the actual drawing.   The  time-
         step used is the value of the -timestep option multiplied by
         the timestepCoarseFactor resource.  The default value  of  1
         will  almost always work fast enough and so this resource is
         not available as a command-line option.
    
    USER INTERFACE
         The program runs mostly without user interaction.  When run-
         ning on the root window, no input is accepted.  When running
         in its own window, the program will exit if mouse  button  3
         is  pressed.   If  any  other  mouse  button is pressed, the
         current  figure  will  be  abandoned  and  another  will  be
         started.
    
    HISTORY
         The geometry of epicycles was  perfected  by  Hipparchus  of
         Rhodes  at  some  time  around 125 B.C., 185 years after the
         birth of Aristarchus of Samos, the inventor of the heliocen-
         tric  universe  model.   Hipparchus applied epicycles to the
         Sun and the Moon.  Ptolemy of Alexandria went  on  to  apply
         them to what was then the known universe, at around 150 A.D.
         Copernicus went on to apply them to the  heliocentric  model
         at  the beginning of the sixteenth century.  Johannes Kepler
         discovered that the  planets  actually  move  in  elliptical
         orbits in about 1602.  The inverse-square law of gravity was
         suggested by Boulliau in  1645.   Isaac  Newton's  Principia
         Mathematica  was published in 1687, and proved that Kepler's
         laws derived from Newtonian gravitation.
    
    BUGS
         The colour selection is re-done for every figure.  This  may
         generate  too  much network traffic for this program to work
         well over slow or long links.
    
    COPYRIGHT
         Copyright O 1998, James Youngman.  Permission to use,  copy,
         modify,  distribute, and sell this software and its documen-
         tation for any purpose is hereby granted without  fee,  pro-
         vided  that  the above copyright notice appear in all copies
         and that both that  copyright  notice  and  this  permission
         notice  appear  in supporting documentation.  No representa-
         tions are made about the suitability of  this  software  for
         any  purpose.   It  is  provided  "as is" without express or
         implied warranty.
    
    AUTHOR
         James Youngman <[email protected]>, April 1998.
    
    
    
    


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