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Merge branch 'master' into master

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Revar Desmera
2020-03-07 16:31:21 -08:00
committed by GitHub
parent cc644c7a77 47c9560d5f
commit c152d393db
7 changed files with 460 additions and 207 deletions
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14
geometry.scad
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@@ -569,7 +569,7 @@ function plane3pt(p1, p2, p3) =
// Given a list of points, and the indices of three of those points,
// generates the cartesian equation of a plane that those points all
// lie on. Requires that the three indexed points be non-collinear.
// Returns [A,B,C,D] where Ax+By+Cz+D=0 is the equation of a plane.
// Returns [A,B,C,D] where Ax+By+Cz=D is the equation of a plane.
// Arguments:
// points = A list of points.
// i1 = The index into `points` of the first point on the plane.
@@ -628,7 +628,7 @@ function plane_from_normal(normal, pt) =
// plane_from_pointslist(points);
// Description:
// Given a list of 3 or more coplanar points, returns the cartesian equation of a plane.
// Returns [A,B,C,D] where Ax+By+Cz+D=0 is the equation of the plane.
// Returns [A,B,C,D] where Ax+By+Cz=D is the equation of the plane.
function plane_from_pointslist(points) =
let(
points = deduplicate(points),
@@ -653,7 +653,7 @@ function plane_normal(plane) = [for (i=[0:2]) plane[i]];
// distance_from_plane(plane, point)
// Description:
// Given a plane as [A,B,C,D] where the cartesian equation for that plane
// is Ax+By+Cz+D=0, determines how far from that plane the given point is.
// is Ax+By+Cz=D, determines how far from that plane the given point is.
// The returned distance will be positive if the point is in front of the
// plane; on the same side of the plane as the normal of that plane points
// towards. If the point is behind the plane, then the distance returned
@@ -669,7 +669,7 @@ function distance_from_plane(plane, point) =
// Usage:
// pt = closest_point_on_plane(plane, point);
// Description:
// Takes a point, and a plane [A,B,C,D] where the equation of that plane is `Ax+By+Cz+D=0`.
// Takes a point, and a plane [A,B,C,D] where the equation of that plane is `Ax+By+Cz=D`.
// Returns the coordinates of the closest point on that plane to the given `point`.
// Arguments:
// plane = The [A,B,C,D] values for the equation of the plane.
@@ -716,7 +716,7 @@ function plane_line_angle(plane, line) =
// Usage:
// pt = plane_line_intersection(plane, line, [eps]);
// Description:
// Takes a line, and a plane [A,B,C,D] where the equation of that plane is `Ax+By+Cz+D=0`.
// Takes a line, and a plane [A,B,C,D] where the equation of that plane is `Ax+By+Cz=D`.
// Returns the coordinates of the where the given `line` intersects the given `plane`.
// Returns `undef` if the line is parallel to the plane.
// Arguments:
@@ -775,7 +775,7 @@ function polygon_line_intersection(poly, line, bounded=false, eps=EPSILON) =
// coplanar(plane, point);
// Description:
// Given a plane as [A,B,C,D] where the cartesian equation for that plane
// is Ax+By+Cz+D=0, determines if the given point is on that plane.
// is Ax+By+Cz=D, determines if the given point is on that plane.
// Returns true if the point is on that plane.
// Arguments:
// plane = The [A,B,C,D] values for the equation of the plane.
@@ -789,7 +789,7 @@ function coplanar(plane, point) =
// in_front_of_plane(plane, point);
// Description:
// Given a plane as [A,B,C,D] where the cartesian equation for that plane
// is Ax+By+Cz+D=0, determines if the given point is on the side of that
// is Ax+By+Cz=D, determines if the given point is on the side of that
// plane that the normal points towards. The normal of the plane is the
// same as [A,B,C].
// Arguments: