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Bugfixes for hull.scad

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Revar Desmera
2019-04-30 23:45:05 -07:00
parent 3b064c69bf
commit 3a71633f7f
8 changed files with 496 additions and 434 deletions
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38
geometry.scad
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@@ -46,7 +46,7 @@ OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
// Determine if the point is on the line segment between two points.
// Returns true if yes, and false if not.
// Arguments:
// point = The point to check colinearity of.
// point = The point to test.
// edge = Array of two points forming the line segment to test against.
function point_on_segment(point, edge) =
point==edge[0] || point==edge[1] || // The point is an endpoint
@@ -99,9 +99,9 @@ function right_of_line2d(line, pt) =
// a = First point.
// b = Second point.
// c = Third point.
// eps = Acceptable max angle variance. Default: EPSILON (1e-9) degrees.
// eps = Acceptable variance. Default: `EPSILON` (1e-9)
function collinear(a, b, c, eps=EPSILON) =
abs(vector_angle(b-a,c-a)) < eps;
distance_from_line([a,b], c) < eps;
// Function: collinear_indexed()
@@ -120,7 +120,23 @@ function collinear_indexed(points, a, b, c, eps=EPSILON) =
p1=points[a],
p2=points[b],
p3=points[c]
) abs(vector_angle(p2-p1,p3-p1)) < eps;
) collinear(p1, p2, p3, eps);
// Function: distance_from_line()
// Usage:
// distance_from_line(line, pt);
// Description:
// Finds the perpendicular distance of a point `pt` from the line `line`.
// Arguments:
// line = A list of two points, defining a line that both are on.
// pt = A point to find the distance of from the line.
// Example:
// distance_from_line([[-10,0], [10,0]], [3,8]); // Returns: 8
function distance_from_line(line, pt) =
let(a=line[0], n=normalize(line[1]-a), d=a-pt)
norm(d - ((d * n) * n));
// Function: triangle_area2d()
@@ -146,14 +162,19 @@ function triangle_area2d(a,b,c) =
// Usage:
// plane3pt(p1, p2, p3);
// Description:
// Generates the cartesian equation of a plane from three non-colinear points on the plane.
// Generates the cartesian equation of a plane from three non-collinear points on the plane.
// Returns [A,B,C,D] where Ax+By+Cz+D=0 is the equation of a plane.
// Arguments:
// p1 = The first point on the plane.
// p2 = The second point on the plane.
// p3 = The third point on the plane.
function plane3pt(p1, p2, p3) =
let(normal = normalize(cross(p3-p1, p2-p1))) concat(normal, [normal*p1]);
let(
p1=point3d(p1),
p2=point3d(p2),
p3=point3d(p3),
normal = normalize(cross(p3-p1, p2-p1))
) concat(normal, [normal*p1]);
// Function: plane3pt_indexed()
@@ -173,9 +194,8 @@ function plane3pt_indexed(points, i1, i2, i3) =
let(
p1 = points[i1],
p2 = points[i2],
p3 = points[i3],
normal = normalize(cross(p3-p1, p2-p1))
) concat(normal, [normal*p1]);
p3 = points[i3]
) plane3pt(p1,p2,p3);
// Function: distance_from_plane()