Utility functions for planes, which are represented as a list of four real values (the A, B, C and D coeffecients).
This interface does not create database planes. Use the pw::Plane interface to create a database plane.
| pwu:: | Utility functions for planes, which are represented as a list of four real values (the A, B, C and D coeffecients). |
| Static Actions | |
| set | Return a plane with the given settings |
| equation | Get the plane coefficients in a list |
| a | Get the A plane coefficient |
| b | Get the B plane coefficient |
| c | Get the C plane coefficient |
| d | Get the D plane coefficient |
| normal | Get the normal vector of a plane |
| constant | Get the plane constant (D coefficient) |
| inHalfSpace | Check if the vector point is in the positive half space of the given plane |
| distance | Get the distance from a vector point to the given plane |
| line | Get the intersection of a line and a given plane |
| segment | Get the intersection of a segment and a given plane |
| project | Get the closest point projection of a point onto a given plane |
pwu::Plane set < coeffs | normal origin | p1 p2 p3 | A B C D >
Return a plane with the given settings
| coeffs | a list of A, B, C and D coefficients |
| normal | the normal of the plane |
| origin | the origin of the plane |
| p1 | a point that the plane passes through |
| p2 | a point that the plane passes through |
| p3 | a point that the plane passes through |
| A | the A plane coefficient |
| B | the B plane coefficient |
| C | the C plane coefficient |
| D | the D plane coefficient |
a plane
pwu::Plane line ?-intersect intersectVar? plane origin dir
Get the intersection of a line and a given plane
| plane | the plane |
| origin | the origin of the line |
| dir | the direction of the line |
| intersetVar | a variable name to receive a boolean value if the intersection actually occured |
the intersection point, or zero vector if failure
pwu::Plane segment ?-intersect intersectVar? plane pt1 pt2
Get the intersection of a segment and a given plane
| plane | the plane |
| pt1 | the start of the segment |
| pt2 | the end of the segment |
| intersetVar | a variable name to receive a boolean value if the intersection actually occured |
the intersection point
Return a plane with the given settings
pwu::Plane set < coeffs | normal origin | p1 p2 p3 | A B C D >
Get the plane coefficients in a list
pwu::Plane equation plane
Get the A plane coefficient
pwu::Plane a plane
Get the B plane coefficient
pwu::Plane b plane
Get the C plane coefficient
pwu::Plane c plane
Get the D plane coefficient
pwu::Plane d plane
Get the normal vector of a plane
pwu::Plane normal plane
Get the plane constant (D coefficient)
pwu::Plane constant plane
Check if the vector point is in the positive half space of the given plane
pwu::Plane inHalfSpace plane vec
Get the distance from a vector point to the given plane
pwu::Plane distance plane vec
Get the intersection of a line and a given plane
pwu::Plane line ?-intersect intersectVar? plane origin dir
Get the intersection of a segment and a given plane
pwu::Plane segment ?-intersect intersectVar? plane pt1 pt2
Get the closest point projection of a point onto a given plane
pwu::Plane project point