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add angle argument to segs()

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Adrian Mariano
2025-08-22 23:59:50 -04:00
parent 7ec33d69d5
commit 64bb095204
1 changed files with 11 additions and 7 deletions
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18
utility.scad
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@@ -772,17 +772,21 @@ function scalar_vec3(v, dflt) =
// Topics: Geometry // Topics: Geometry
// See Also: circle(), cyl() // See Also: circle(), cyl()
// Usage: // Usage:
// sides = segs(r); // sides = segs(r, [angle]);
// Description: // Description:
// Calculate the standard number of sides OpenSCAD would give a circle based on `$fn`, `$fa`, and `$fs`. // Calculate the standard number of sides OpenSCAD would give a circle based on `$fn`, `$fa`, and `$fs`.
// If angle is given, calculate for an arc of the given angle.
// Arguments: // Arguments:
// r = Radius of circle to get the number of segments for. // r = Radius of circle/arc to get the number of segments for.
// angle = Angle of arc to get the get the number of segments for.
// Example: // Example:
// $fn=12; sides=segs(10); // Returns: 12 // $fn=12; sides=segs(10); // Returns: 12
// $fa=2; $fs=3; sides=segs(10); // Returns: 21 // $fa=2; $fs=3; sides=segs(10); // Returns: 21
function segs(r) = // $fa=2; $fs=3; sides=segs(10,180); // Returns: 11
$fn>0? ($fn>3? $fn : 3) : function segs(r,angle) =
let( r = is_finite(r)? r : 0 ) is_def(angle) ? ceil(segs(r)*abs(angle)/360-2e-15) // 2e-15 needed in case angle is slightly large due to rounding error
: $fn>0? ($fn>3? $fn : 3)
: let( r = is_finite(r)? r : 0 )
ceil(max(5, min(360/$fa, abs(r)*2*PI/$fs))); ceil(max(5, min(360/$fa, abs(r)*2*PI/$fs)));