Sollya User's Manual

Name:

plot plots one or several functions

Usage:

plot(f1, ... ,fn, I) : (function, ... ,function, range) -> void plot(f1, ... ,fn, I, file, name) : (function, ... ,function, range, file, string) -> void plot(f1, ... ,fn, I, postscript, name) : (function, ... ,function, range, postscript, string) -> void plot(f1, ... ,fn, I, postscriptfile, name) : (function, ... ,function, range, postscriptfile, string) -> void plot(L, I) : (list, range) -> void plot(L, I, file, name) : (list, range, file, string) -> void plot(L, I, postscript, name) : (list, range, postscript, string) -> void plot(L, I, postscriptfile, name) : (list, range, postscriptfile, string) -> void

Parameters:

f1, ..., fn are functions to be plotted.
L is a list of functions to be plotted.
I is the interval where the functions have to be plotted.
name is a string representing the name of a file.

Description:

This command plots one or several functions f1, ... ,fn on an interval I. Functions can be either given as parameters of plot or as a list L which elements are functions. The functions are drawn on the same plot with different colors.
If L contains an element that is not a function (or a constant), an error occurs.
plot relies on the value of global variable points. Let n be the value of this variable. The algorithm is the following: each function is evaluated at n evenly distributed points in I. At each point, the computed value is a faithful rounding of the exact value with a sufficiently high precision. Each point is finally plotted. This should avoid numerical artefacts such as critical cancellations.
You can save the function plot either as a data file or as a postscript file.
If you use argument file with a string name, Sollya will save a data file called name.dat and a gnuplot directives file called name.p. Invoking gnuplot on name.p will plot the data stored in name.dat.
If you use argument postscript with a string name, Sollya will save a postscript file called name.eps representing your plot.
If you use argument postscriptfile with a string name, Sollya will produce the corresponding name.dat, name.p and name.eps.
This command uses gnuplot to produce the final plot. If your terminal is not graphic (typically if you use Sollya through ssh without -X) gnuplot should be able to detect that and produce an ASCII-art version on the standard output. If it is not the case, you can either store the plot in a postscript file to view it locally, or use asciiplot command.
If every function is constant, plot will not plot them but just display their value.
If the interval is reduced to a single point, plot will just display the value of the functions at this point.

Example 1:

> plot(sin(x),0,cos(x),[-Pi,Pi]);

Example 2:

> plot(sin(x),0,cos(x),[-Pi,Pi],postscriptfile,"plotSinCos");

Example 3:

   > plot(exp(0), sin(1), [0;1]);
   1
   0.84147098480789650665250232163029899962256306079837

Example 4:

   > plot(sin(x), cos(x), [1;1]);
   0.84147098480789650665250232163029899962256306079837
   0.54030230586813971740093660744297660373231042061792

See also: externalplot, asciiplot, file, postscript, postscriptfile, points

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