Documented circle_tangent() and simplified it.
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@ -5736,7 +5736,8 @@ Cylinder with a rounded end.
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<a name="Rounded_polygon"></a>
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<a name="Rounded_polygon"></a>
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## Rounded_polygon
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## Rounded_polygon
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Draw a polygon with rounded corners. Each element of the vector is the XY coordinate and a radius. Radius can be negative for a concave corner.
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Draw a polygon with rounded corners. Each element of the vector is the XY coordinate and a radius in clockwise order.
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Radius can be negative for a concave corner.
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Because the tangents need to be calculated to find the length these can be calculated separately and re-used when drawing to save calculating them twice.
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Because the tangents need to be calculated to find the length these can be calculated separately and re-used when drawing to save calculating them twice.
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@ -5747,6 +5748,7 @@ Because the tangents need to be calculated to find the length these can be calcu
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### Functions
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### Functions
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| Function | Description |
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| Function | Description |
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|:--- |:--- |
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|:--- |:--- |
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| `circle_tangent(p1, p2)` | Compute the clockwise tangent between two circles represented as [x,y,r] |
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| `rounded_polygon_length(points, tangents)` | Calculate the length given the point list and the list of tangents computed by ` rounded_polygon_tangents` |
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| `rounded_polygon_length(points, tangents)` | Calculate the length given the point list and the list of tangents computed by ` rounded_polygon_tangents` |
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| `rounded_polygon_tangents(points)` | Compute the straight sections needed to draw and to compute the lengths |
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| `rounded_polygon_tangents(points)` | Compute the straight sections needed to draw and to compute the lengths |
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@ -18,13 +18,14 @@
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//
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//
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//
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//
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//! Draw a polygon with rounded corners. Each element of the vector is the XY coordinate and a radius. Radius can be negative for a concave corner.
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//! Draw a polygon with rounded corners. Each element of the vector is the XY coordinate and a radius in clockwise order.
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//! Radius can be negative for a concave corner.
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//!
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//!
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//! Because the tangents need to be calculated to find the length these can be calculated separately and re-used when drawing to save calculating them twice.
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//! Because the tangents need to be calculated to find the length these can be calculated separately and re-used when drawing to save calculating them twice.
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//
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//
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include <../utils/core/core.scad>
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include <../utils/core/core.scad>
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function circle_tangent(p1, p2) =
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function circle_tangent(p1, p2) = //! Compute the clockwise tangent between two circles represented as [x,y,r]
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let(
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let(
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r1 = p1[2],
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r1 = p1[2],
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r2 = p2[2],
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r2 = p2[2],
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@ -32,11 +33,8 @@ function circle_tangent(p1, p2) =
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dy = p2.y - p1.y,
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dy = p2.y - p1.y,
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d = sqrt(dx * dx + dy * dy),
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d = sqrt(dx * dx + dy * dy),
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theta = atan2(dy, dx) + acos((r1 - r2) / d),
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theta = atan2(dy, dx) + acos((r1 - r2) / d),
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xa = p1.x +(cos(theta) * r1),
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v = [cos(theta), sin(theta)]
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ya = p1.y +(sin(theta) * r1),
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)[ p1 + r1 * v, p2 + r2 * v ];
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xb = p2.x +(cos(theta) * r2),
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yb = p2.y +(sin(theta) * r2)
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)[ [xa, ya], [xb, yb] ];
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function rounded_polygon_tangents(points) = //! Compute the straight sections needed to draw and to compute the lengths
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function rounded_polygon_tangents(points) = //! Compute the straight sections needed to draw and to compute the lengths
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let(len = len(points))
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let(len = len(points))
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