User:LABoyd2/special variables from manual 160316

Special variables
All variables starting with a '$' are special variables. The semantic is similar to the special variables in lisp: they have dynamic instead of lexical scoping.

What that means is that they're effectively automatically passed onward as arguments. Comparing a normal with a special variable: So basically it is useful when you do not want to pass many parameters all the time.

$fa, $fs and $fn
The $fa, $fs and $fn special variables control the number of facets used to generate an arc:

$fa is the minimum angle for a fragment. Even a huge circle does not have more fragments than 360 divided by this number. The default value is 12 (i.e. 30 fragments for a full circle). The minimum allowed value is 0.01. Any attempt to set a lower value will cause a warning.

$fs is the minimum size of a fragment. Because of this variable very small circles have a smaller number of fragments than specified using $fa. The default value is 2. The minimum allowed value is 0.01. Any attempt to set a lower value will cause a warning.

$fn is usually 0. When this variable has a value greater than zero, the other two variables are ignored and full circle is rendered using this number of fragments. The default value is 0.

TIP: If you want to create a circle/cylinder/sphere which has a axis aligned integer bounding box (i.e. a bounding box that has integral dimensions, and an integral position) use a value of $fn that is divisible by 4.

When $fa and $fs are used to determine the number of fragments for a circle, then OpenSCAD will never use fewer than 5 fragments.

This is the C code that calculates the number of fragments in a circle:

int get_fragments_from_r(double r, double fn, double fs, double fa) {             if (r < GRID_FINE) return 3; if (fn > 0.0) return (int)(fn >= 3 ? fn : 3); return (int)ceil(fmax(fmin(360.0 / fa, r*2*M_PI / fs), 5)); }

Spheres are first sliced into as many slices as the number of fragments being used to render a circle of the sphere's radius, and then every slice is rendered into as many fragments as are needed for the slice radius. You might have recognized already that the pole of a sphere is usually a pentagon. This is why.

The number of fragments for a cylinder is determined using the greater of the two radii.

The method is also used when rendering circles and arcs from DXF files. The variables have no effect when importing STL files.

You can generate high resolution spheres by resetting the $fX values in the instantiating module:

$fs = 0.01; sphere(2);

or simply by passing the special variable as parameter:

sphere(2, $fs = 0.01);

You can even scale the special variable instead of resetting it:

sphere(2, $fs = $fs * 0.01);

$t
The $t variable is used for animation. If you enable the animation frame with view->animate and give a value for "FPS" and "Steps", the "Time" field shows the current value of $t. With this information in mind, you can animate your design. The design is recompiled every 1/"FPS" seconds with $t incremented by 1/"Steps" for "Steps" times, ending at either $t=1 or $t=1-1/steps.

If "Dump Pictures" is checked, then images will be created in the same directory as the .scad file, using the following $t values, and saved in the following files:
 * $t=0/Steps filename="frame00001.png"
 * $t=1/Steps filename="frame00002.png
 * $t=2/Steps filename="frame00003.png"
 * $t=1-3/Steps filename="frame.png"
 * $t=1-2/Steps filename="frame.png"
 * $t=1-1/Steps filename="frame00000.png"
 * $t=1-1/Steps filename="frame00000.png"

Or, for other values of Steps, it follows this pattern:


 * $t=0/Steps filename="frame00001.png"
 * $t=1/Steps filename="frame00002.png
 * $t=2/Steps filename="frame00003.png"
 * $t=1-3/Steps filename="frame.png"
 * $t=1-2/Steps filename="frame.png"
 * $t=1-1/Steps filename="frame.png"
 * $t=1-0/Steps filename="frame00000.png"
 * $t=1-0/Steps filename="frame00000.png"

Which pattern it chooses appears to be an unpredictable, but consistent, function of Steps. For example, when Steps=4, it follows the first pattern, and outputs a total of 4 files. When Steps=3, it follows the second pattern, and also outputs 4 files. It will always output either Steps or Steps+1 files, though it may not be predictable which. When finished, it will wrap around and recreate each of the files, looping through and recreating them forever.

$vpr, $vpt and $vpd
These contain the current viewport rotation and translation and camera distance - at the time of doing the rendering. Moving the viewport does not update them. During an animation they are updated for each frame.
 * $vpr shows rotation
 * $vpt shows translation (i.e. won't be affected by rotate and zoom)
 * $vpd shows the camera distance

Example cube([10, 10, $vpr[0] / 10]); which makes the cube change size based on the view angle, if an animation loop is active (which does not need to use the $t variable)

You can also make bits of a complex model vanish as you change the view.

All three variables are writable but only assignments at the top-level of the main file will have an effect on the viewport.

Example $vpr = [0, 0, $t * 360]; which allows a simple 360 degree rotation around the Z axis in animation mode.

The menu command Edit - Paste Viewport Rotation/Translation copies the current value of the viewport, but not the current $vpr or $vpt.