std/geometry/triangle2
std/geometry/src/triangle2.trb
Triangle2, the triangle in the plane: the smallest shape that has an inside, and the one every mesh and every
tessellation is made of.
type Triangle2
type Triangle2<Scalar: Numeric = Float>Three corners in the plane.
The winding is not fixed: Triangle2.signedArea is positive where the corners run from the first axis towards the
second and negative where they run the other way, and every other member works for both.
Examples
const face = Triangle2 Vector2(0, 0), Vector2(4, 0), Vector2(0, 4)
print "{face.contains(Vector2(1, 1))} {face.signedArea()}"
Related
Polygon- more than three corners.Triangle3- the same in space, which additionally has a normal.
field first
first: Vector2<Scalar>The first corner.
field second
second: Vector2<Scalar>The second corner.
field third
third: Vector2<Scalar>The third corner.
fn signedArea
fn signedArea(): ScalarTwice the area, with a sign that says which way the corners run. Zero where the three lie on one line.
fn bounds
fn bounds(): Rectangle<Scalar>The smallest rectangle that holds the triangle.
fn edges
fn edges(): List<Segment2<Scalar>>The three edges, in the order the corners are written.
fn contains
fn contains(point: Vector2<Scalar>): BoolWhether the point is inside the triangle, an edge included.
The test is the sign of the three edge cross products: a point is inside where it is on the same side of all three, whichever way the corners run.
fn translated
fn translated(by: Vector2<Scalar>): Triangle2<Scalar>The same triangle moved.
extend Triangle2<Scalar>
extend<Scalar: Signed> Triangle2<Scalar>What a sign buys: the area without its sign.
fn doubledArea
fn doubledArea(): ScalarTwice the area, without a sign: the whole number a whole-number triangle has instead of a halved one.
extend Triangle2<Scalar>
extend<Scalar: Real> Triangle2<Scalar>What a halving and a root buy: the area, the midpoint and the nearest point.
fn area
fn area(): ScalarHow much of the plane the triangle covers.
fn center
fn center(): Vector2<Scalar>The midpoint of the three corners, which is where the triangle balances.
fn closestPoint
fn closestPoint(to: Vector2<Scalar>): Vector2<Scalar>The point of the triangle that is nearest to the one given.
fn distanceTo
fn distanceTo(point: Vector2<Scalar>): ScalarThe distance from the point to the nearest point of the triangle. Zero where it is inside.