Built-in functions · laylight tour

laylight has the usual mathematical functions, and they respect units just like the operators:

Functions	Notes
`sqrt` `abs` `min` `max` `floor` `ceil` `round` `pow` `sign`	work on quantities: `sqrt(9um * 4um)` is `6um`, `max(1um, 500nm)` is `1um`
`sin` `cos` `tan`	take an angle and return a number
`asin` `acos` `atan` `atan2(y, x)`	return an angle
`len` `str`	the length of a list; a value as a string

The constant pi exists too, although with angle units it is rarely needed: 360deg / 8 is 45deg.

Points have parts and arithmetic: p.x, p.y and p.angle read the coordinates and the direction of a point, and p + (1um, 0) moves it (keeping its direction).

define also works inside a block, where it names a value for the rest of the block — here, for one round of the loop:

for i in 0..count {
    define a = i * 360deg / count
    ...
}

Exercise

Spread count pads evenly on a circle of radius radius around the origin: pad i goes at the angle i × 360° / count, so that the first one sits on the positive x axis.