index.txt
IDEAL(1) General Commands Manual IDEAL(1) delim $$ NAME ideal - troff preprocessor for drawing pictures SYNOPSIS ideal [ -p ] [ -4 ] [ -n ] [ files ] DESCRIPTION Ideal is yet another troff(1) preprocessor for drawing figures on a typesetter. A line beginning `.IS' marks the start of an ideal pro‐ gram. An ideal program ends with `.IE' or `.IF'; `.IE' leaves you be‐ low the bottom of the picture, while `.IF' (flyback) leaves you at the same place you were when you said `.IS'. When invoked with the -p option, ideal produces plot(1) instructions. The erases come at every `.IS', and they come fast and furious, so you might prefer using the -4 option, which produces instructions for a Tektronix 4014, and waits at each `.IE' for an input character before erasing and starting the next picture. The -n option produces raw ideal output, which passes unharmed through nroff. The building block for ideal programs is a ``box''; boxes look like C functions, in that they are named, and delimited by braces. They may include the following kinds of statements, each terminated by a semi‐ colon: var declares one or more complex variables local to the box. Vari‐ able names are made up of letters and digits, and start with a letter; do not use any of the following keywords as variable names: at, bdlist, boundary, box, conn, construct, draw, exte‐ rior, interior, left, opaque, put, right, spline, text, to, us‐ ing, var equation declares relative positions of significant points of the box conn asks for a straight-line path through named points pen asks for a box to be replicated along a line between two points left left-justifies text with respect to a point text centers text with respect to a point right right-justifies text with respect to a point spline draws a spline guided by the named points put asks for an instance of a box to be drawn opaque asks for a box to erase lines already in the picture that are covered by its bounding polygon boundary specifies the bounding polygon for an opaque box construct builds a partial picture on a separate ``sheet of paper'' draw adds the contents of the named constructed box to the current picture Ideal expects all components of a picture to be specified as boxes; in‐ structions to draw the entire picture should comprise a box called ``main.'' Boxes are remembered across .IS-.IE boundaries; if you won't need a box again, you can reclaim the space it requires by including the command `...forget boxname' on a line between any .IS-.IE pair af‐ ter the last use of boxname. Box main is an exception to this rule: it is always forgotten when the .IE is processed. During its first pass, ideal solves all the equations to determine the locations of all points it needs to know. These equations must be lin‐ ear equations in complex variables, although they may include non-lin‐ ear operators: ideal plugs in for as many variables, and does as much function evaluation, as it can before solving the linear equation. It waits until it has absolutely no hope of reducing an equation to a lin‐ ear equation before complaining. Ideal knows about the following func‐ tions: α[z,w] $==~z+ alpha (w-z)$, $alpha$ of the way from $z$ to $w$ re(z) real part of complex number im(z) imaginary part of complex number conj(z) complex conjugate of complex number abs(z) absolute value (modulus) of complex number cis(x) a unit vector in the direction of the real part of its argument, which is an angle in degrees (radians if the line `...radians' appeared more recently in the file than the line `...degrees') E(x) $==~cis (360x)$ if $x$ is measured in degrees angle(z) angle of complex number, arctan $(im(z)/re(z))$ During the second pass, ideal draws the picture. To draw a circle, include the line `...libfile circle' between the .IS and .IE lines, and put the box named circle, giving enough information that the circle can be determined; for instance, give the center and the radius, or give three points through which the circle passes, or give the center and a point on the circle. The circle has center cen‐ ter, radius radius, and passes through z1, z2, and z3. To draw an arc, include the line `...libfile arc' between the .IS and .IE lines, and put the box named arc, again giving enough information to determine the arc; for instance, give the center, radius, and start‐ ing and ending angles, or give three points on the arc--where to start, where to end, and somewhere in between. The arc has center center, ra‐ dius radius, starts at point start, passes through point midway at an‐ gle midang, and ends at point end at angle endang. If no midway is specified, the arc is drawn counterclockwise from start to end. The picture will be scaled to a default width of four inches and cen‐ tered in a column of six inches. The default width can be changed by a `...width' command, which includes a number in inches. The default column width can be changed by a `...colwid' command. To defeat ideal's notion of the size of the picture, you can include lines of the form `...minx', `...miny', `...maxx', or `...maxy'; these give the var‐ ious coordinates of the bounding box of the picture in the coordinate system used by the picture. Ideal supports both C-style comments (between /* and */ brackets, and they nest), and shell-style comments (between # and newline). SEE ALSO C. J. Van Wyk, IDEAL User's Manual , C. J. Van Wyk. pic(1), ped(9.1), doctype(1) BUGS Ideal is relatively unforgiving about syntax errors. Bounding box com‐ putation is naive for arcs and text strings. IDEAL(1)