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Added clarifying docs to vnf_centroid and vnf_volume. Changed vsqr to sqr
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13
vnf.scad
13
vnf.scad
@@ -340,7 +340,9 @@ module vnf_polyhedron(vnf, convexity=2) {
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// Usage:
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// Usage:
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// vol = vnf_volume(vnf);
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// vol = vnf_volume(vnf);
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// Description:
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// Description:
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// Returns the volume enclosed by the given manifold VNF. May return a negative value if faces are reversed.
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// Returns the volume enclosed by the given manifold VNF. The VNF must describe a valid polyhedron with consistent face direction and
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// no holes; otherwise the results are undefined. Returns a positive volume if face direction is clockwise and a negative volume
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// if face direction is counter-clockwise.
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function vnf_volume(vnf) =
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function vnf_volume(vnf) =
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let(vnf = vnf_triangulate(vnf))
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let(vnf = vnf_triangulate(vnf))
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sum([
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sum([
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@@ -355,7 +357,8 @@ function vnf_volume(vnf) =
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// Usage:
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// Usage:
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// vol = vnf_centroid(vnf);
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// vol = vnf_centroid(vnf);
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// Description:
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// Description:
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// Returns the centroid of the given manifold VNF.
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// Returns the centroid of the given manifold VNF. The VNF must describe a valid polyhedron with consistent face direction and
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// no holes; otherwise the results are undefined.
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function vnf_centroid(vnf) =
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function vnf_centroid(vnf) =
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let(
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let(
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vnf = vnf_triangulate(vnf),
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vnf = vnf_triangulate(vnf),
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@@ -367,9 +370,9 @@ function vnf_centroid(vnf) =
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) [
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) [
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face[0] * n,
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face[0] * n,
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vmul(n,
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vmul(n,
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vsqr(face[0] + face[1]) +
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sqr(face[0] + face[1]) +
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vsqr(face[0] + face[2]) +
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sqr(face[0] + face[2]) +
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vsqr(face[1] + face[2])
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sqr(face[1] + face[2])
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)
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)
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]
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]
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])
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])
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