ifplot, conplot, plot, plotover

ifplot(func [,geometry] [,xrange] [,yrange] [,id] [,name])

:: Displays real zeros of a bi-variate function.

conplot(func [,geometry] [,xrange] [,yrange] [,zrange] [,id] [,name])

:: Displays real contour lines of a bi-variate function.

plot(func [,geometry] [,xrange] [,id] [,name])

:: Displays the graph of a univariate function.

plotover(func,id,number)

Plots on the existing window real zeros of a bivariate function.

return

integer

func

polynomial

geometry, xrange, yrange, zrange

list

id, number

integer

name

string

• Function ifplot() draws a graph of real zeros of a bi-variate function. Function conplot() plots the contour lines for a same argument. Function plot() draws the graph of a uninivariate function.
• The plotting functions are realized by an OpenXM server. On UNIX it is `ox_plot' in Asir root directory. On Windows `engine' acts as `ox_plot'. Of course, it must be activated by ox_launch() ox_launch_nox().
• Argument func is indispensable. Other arguments are optional. The format of optional arguments and their default values (parenthesized) are listed below.

  geometry

  Window size is specified by [x,y] in unit `dot.' ([300,300] for UNIX version;

  xrange, yrange

  Value ranges of the variables are specified by [v,vmin,vmax]. ([v,-2,2] for each variable.) If this specification is omitted, the indeterminate having the higher order in func is taken for `x' and the one with lower order is taken for `y'. To change this selection, specify explicitly by xrange and/or yrange. For an uni-variate function, the specification is mandatory.

  zrange

  This specification applies only to conplot(). The format is [v,vmin,vmax [,step ]]. If step is specified, the height difference of contours is set to (vmax-vmin)/step. ([z,-2,2,16].)

  id

  This specifies the number of the remote process by which you wish to draw a graph. (The number for the newest active process.)

  name

  The name of the window. (Plot.) The created window is titled name:n/m which means the m-th window of the process with process number n. These numbers are used for plotover().

• The maximum number of the windows that can be created on a process is 128.
• Function plotover() superposes reals zeros of its argument bi-variate function onto the specified window.
• Enlarged plot can be obtained for rectangular area which is specified, on an already existing window with a graph, by dragging cursor with the left button of mouse from the upper-left corner to lower-right corner and then releasing it. Then, a new window is created whose shape is similar to the specified area and whose size is determined so that the largest side of the new window has the same size of the largest side of the original window. If you wish to cancel the action, drag the cursor to any point above or left of the starting point. This facility is effective when precise button switch is inactive. If precise is selected and active, the area specified by the cursor dragging will be rewritten on the same window. This will be explained later.
• A click of the right button will display the current coordinates of the cursor at the bottom area of the window.
• Place the cursor at any point in the right marker area on a window created by conplot(), and drag the cursor with the middle mutton. Then you will find the contour lines changing their colors depending on the movement of the cursor and the corresponding height level displayed on the upper right corner of the window.
• Several operations are available on the window: by button operations for UNIX version, and pull-down menus for Windows version.

  quit

  Destroys (kills) the window. While computing, quit the current computation. If one wants to interrupt the computation, use ox_reset().

  wide (toggle)

  Will display, on the same window, a new area enlarged by 10 times as large as the current area for both width-direction and height-direction. The current area will be indicated by a rectangle placed at the center. Area specification by dragging the cursor will create a new window with a plot of the graph in the specified area.

  precise (toggle)

  When selected and active, ox_plot redraws the specified area more precisely by integer arithmetic. This mode uses bisection method based on Sturm sequence computation to locate real zeros precisely. More precise plotting can be expected by this technique than by the default plotting technique, at the expense of significant increase of computing time. As you see by above explanation, this function is only effective to polynomials with rational coefficients. (Check how they differ for (x^2+y^2-1)^2.)

  formula

  Displays the expression for the graph.

  noaxis (toggle)

  Erase the coordinates.

• Program `ox_plot' may consume much stack space depending on which machine it is running. You are recommended to set the stack size to about 16MB as large in `.cshrc' for safe. To specify the size, put limit stacksize 16m for an example.
• You can customize various resources of a window on X, e.g., coloring, shape of buttons etc. The default setting of resources is shown below. For plot*form*shapeStyle you can select among rectangle, oval, ellipse, and roundedRectangle.

  plot*background:white
  plot*form*shapeStyle:rectangle
  plot*form*background:white
  plot*form*quit*background:white
  plot*form*wide*background:white
  plot*form*precise*background:white
  plot*form*formula*background:white
  plot*form*noaxis*background:white
  plot*form*xcoord*background:white
  plot*form*ycoord*background:white
  plot*form*level*background:white
  plot*form*xdone*background:white
  plot*form*ydone*background:white
  

References

section ox_launch, ox_launch_nox, ox_shutdown, section ox_reset,ox_intr,register_handler

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