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pgarro(2, 10, 2.5, square(2.5)); pgptxt(2, 10, 0, 1, '\fiy = \fix\u2'); pgclos;
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The pgarro() function draws an arrow from the point defined by the first two arguments to the point defined by the last two. Notice how we use the subroutine that we just defined to ensure that the arrow ends up touching the line. At the start of the arrow, we put some text expressing the function that has been plotted (see the user s manual for more on text formatting in PGPLOT). To end the program, we close the output stream with pgclos(). Alternatively, this can be done by calling pgend(), which closes all open devices, and not just the current one. 5.3.3
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Example: A contour plot
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It is surprisingly easy to draw contour plots with PGPLOT, and only slightly harder to put labels in them.
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Figure 5.8 A contour plot of a trigonometric function, created with PGPLOT. The solid lines show positive values, the dashed lines negative values.
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Figure 5.8 was produced using the following code:
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use PGPLOT; my (@f, $fmin, $fmax); for my $i (0 .. 39) { for my $j (0 .. 39) { $f[$i][$j] = 2 * cos(0.3 * sqrt($i * 2) - 0.4 * $j/3) * cos(0.4 * $i/3) + 3 * ($i - $j)/40; $fmin = min($f[$i][$j], $fmin); $fmax = max($f[$i][$j], $fmax); } } my @level = map { $fmin + $_ * ($fmax - $fmin)/15 } (0 .. 15);
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Set up the data
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Calculate which levels we want to contour
PGPLOT
We start again by including the PGPLOT module, after which we declare and fill a two dimensional array @f with the values of a function that will give us a good picture. While filling the array, we keep track of the minimum and maximum values (the subroutines min() and max() are defined at the end of the program). We decide to draw 16 contour levels, and put the values of each contour into the array @level, in such a way that the first element in @level is equal to the minimum value in @f, the last element is equal to the maximum value in @f, and the intermediate elements are equidistantly spaced between these values. We then open an output device and establish the environment.
$ENV{PGPLOT_PS_WIDTH} = 4000; $ENV{PGPLOT_PS_HEIGHT} = 3000; my $dev_id = pgopen('pgplot3.eps/VPS'); die "Couldn't open plot" if $dev_id <= 0; pgslw(2); pgsch(1.5); pgenv(0, 39, 0, 39, 0, 0);
After setting the line width to 2 and the character height to 1.5, we call pgenv() to define the minimum and maximum X and Y axis values for the plot and the axis formatting. Next we draw the contours with a line width of 3:
my @tr = (0, 1, 0, 0, 0, 1); pgslw(3); pgcont(\@f, 40, 40, 1, 40, 1, 40, \@level, 16, \@tr);
The first item needing explanation is the @tr array. It contains six elements which are the coefficients in the equations defining the transformation between the indices into the two-dimensional array (i and j) and the x and y coordinates of the plot: x = tr1 + tr2i + tr3 j y = tr4 + tr5i + tr6 j Normally you will see values in elements 1, 2, 4, and 6, and elements 3 and 5 will be zero, unless the coordinates really need to be rotated or sheared. In our example, there is a simple one-to-one mapping between the array coordinates and the graph coordinates, so we set the 2nd and 6th elements to 1, and the rest to 0. Now that we have defined our mapping, we can plot the contours. We set the line width to 3 and call pgcont(), one of the five contour mapping functions of PGPLOT (see user s manual for the others). The first argument to pgcont() is a reference to the two-dimensional array @f. The next six arguments are the two dimensions of the array, and the first and last index of each of those two dimensions to be plotted.13 The sixth
Note that all indexes into arrays in PGPLOT are 1-based, not 0-based. This is most likely due to the fact that the underlying library was originally written in Fortran, where arrays are always 1-based.
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