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https://github.com/gnxlxnxx/dubins_path
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Merge pull request #1 from david-sawatzke/master
Various improvements (höhö)
This commit is contained in:
@@ -15,3 +15,4 @@ edition = "2018"
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[dependencies]
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[dependencies]
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euclid = "0.20.11"
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+130
-221
@@ -1,22 +1,23 @@
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/*! Call all functions with a Vector as argument the vector should contain:
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//! Call all functions with a Vector as argument the vector should contain:
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- the end point as origin
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//! - the end point as origin
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- the end angle as angle in degrees in clockwise direction (eg. 0° facing north, 90° facing east, ...)
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//! - the end angle as angle in degrees in clockwise direction (eg. 0° facing north, 90° facing east, ...)
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- the circle radius as magnitude
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//! - the circle radius as magnitude
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//!
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//! Start Vector is in the origin facing in positive x-direction
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//!
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//! Every struct defined here is 2 dimensional and uses f64
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Start Vector is in the origin facing in positive x-direction
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use euclid::{Point2D, Rotation2D, UnknownUnit};
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Every struct defined here is 2 dimensional and uses f64 */
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pub type Angle = euclid::Angle<f64>;
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pub type Point = Point2D<f64, UnknownUnit>;
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/// Point
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type Vector2D = euclid::Vector2D<f64, UnknownUnit>;
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pub struct Point {
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type Rotation = Rotation2D<f64, UnknownUnit, UnknownUnit>;
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pub x: f64,
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pub y: f64,
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}
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/// Vector with origin, angle and magnitude
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/// Vector with origin, angle and magnitude
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pub struct Vector {
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pub struct Vector {
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pub origin: Point,
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pub origin: Point,
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pub angle: f64,
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pub angle: Angle,
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pub magnitude: f64,
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pub magnitude: f64,
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}
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}
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@@ -29,7 +30,7 @@ pub struct Circle {
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/// Circle route with a circle and a angle for how long to drive on this circle
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/// Circle route with a circle and a angle for how long to drive on this circle
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pub struct CircleRoute {
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pub struct CircleRoute {
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pub circle: Circle,
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pub circle: Circle,
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pub angle: f64,
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pub angle: Angle,
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}
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}
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/// Route with a start Circle, a tangent straight and a end Circle (eg. rsl, rsr, lsr, lsl)
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/// Route with a start Circle, a tangent straight and a end Circle (eg. rsl, rsr, lsr, lsl)
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@@ -52,90 +53,69 @@ pub fn rsr(end: Vector) -> Result<RouteCSC, ()> {
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let mut route_csc = RouteCSC {
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let mut route_csc = RouteCSC {
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start: CircleRoute {
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start: CircleRoute {
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circle: Circle {
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circle: Circle {
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center: Point {
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center: Point::new(end.magnitude, 0.0),
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x: end.magnitude,
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y: 0.0,
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},
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radius: end.magnitude,
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radius: end.magnitude,
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},
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},
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angle: 0.0,
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angle: Angle::zero(),
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},
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},
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tangent: Vector {
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tangent: Vector {
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origin: Point { x: 0.0, y: 0.0 },
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origin: Point::zero(),
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angle: 0.0,
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angle: Angle::zero(),
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magnitude: 0.0,
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magnitude: 0.0,
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},
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},
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end: CircleRoute {
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end: CircleRoute {
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circle: Circle {
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circle: Circle {
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center: Point { x: 0.0, y: 0.0 },
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center: Point::zero(),
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radius: end.magnitude,
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radius: end.magnitude,
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},
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},
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angle: 0.0,
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angle: Angle::zero(),
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},
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},
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};
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};
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// get the center point by adding the end vector to the end point
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// get the center point by adding the end vector to the end point
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// this works because the argument is the angle in positive y direction
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// this works because the argument is the angle in positive y direction
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// not positive x direction so we dont have to rotate it here anymore
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// not positive x direction so we dont have to rotate it here anymore
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// the angle has to be counter clockwise though (thats why 360 - end.angle)
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// the angle has to be counter clockwise though (thats why we use the inverse end.angle)
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route_csc.end.circle.center = Point {
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route_csc.end.circle.center = end.origin
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x: end.origin.x + end.magnitude * (360.0 - end.angle).to_radians().cos(),
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+ Rotation::new(end.angle)
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y: end.origin.y + end.magnitude * (360.0 - end.angle).to_radians().sin(),
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.inverse()
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};
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.transform_vector(Vector2D::new(end.magnitude, 0.0));
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// get the tangent pitch which is the same as the pitch between the two
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// get the tangent pitch which is the same as the pitch between the two
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// circle centers since our circles have the same radius
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// circle centers since our circles have the same radius
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route_csc.tangent.angle = ((route_csc.end.circle.center.y - route_csc.start.circle.center.y)
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route_csc.tangent.angle = Angle::radians(
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/ (route_csc.end.circle.center.x - route_csc.start.circle.center.x))
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((route_csc.end.circle.center.y - route_csc.start.circle.center.y)
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.atan()
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/ (route_csc.end.circle.center.x - route_csc.start.circle.center.x))
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.to_degrees();
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.atan(),
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);
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// if the end circle center x value is smaller than the
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// if the end circle center x value is smaller than the
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// start circle center x value
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// start circle center x value
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// the angle would be 180° rotated so to prevent that:
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// the angle would be 180° rotated so to prevent that:
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if route_csc.end.circle.center.x < route_csc.start.circle.center.x {
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if route_csc.end.circle.center.x < route_csc.start.circle.center.x {
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route_csc.tangent.angle += 180.0;
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route_csc.tangent.angle += Angle::pi();
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}
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}
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// get the tangent magnitude this, again, is the same as the distance
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// get the tangent magnitude this, again, is the same as the distance
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// between the two circle centers since our circles have the same radius
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// between the two circle centers since our circles have the same radius
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route_csc.tangent.magnitude =
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route_csc.tangent.magnitude =
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((route_csc.end.circle.center.x - route_csc.start.circle.center.x).powf(2.0)
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((route_csc.end.circle.center.x - route_csc.start.circle.center.x).powi(2)
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+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y).powf(2.0))
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+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y).powi(2))
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.sqrt();
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.sqrt();
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// get the angle of the start circle
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// get the angle of the start circle
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route_csc.start.angle = 90.0 - route_csc.tangent.angle;
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route_csc.start.angle = (Angle::frac_pi_2() - route_csc.tangent.angle).positive();
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// make the angle pretty
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if route_csc.start.angle < 0.0 {
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route_csc.start.angle += 360.0;
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}
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if route_csc.start.angle >= 360.0 {
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route_csc.start.angle -= 360.0;
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}
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// get the tangent origin by moving the vector from the start circle center
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// get the tangent origin by moving the vector from the start circle center
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// 90° to it's own direction and the magnitude of the circle radius
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// 90° to it's own direction and the magnitude of the circle radius
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route_csc.tangent.origin = Point {
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route_csc.tangent.origin = route_csc.start.circle.center
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x: route_csc.start.circle.center.x
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+ Rotation::new(Angle::pi() - end.angle)
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+ route_csc.start.circle.radius * (180.0 - route_csc.start.angle).to_radians().cos(),
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.transform_vector(Vector2D::new(route_csc.start.circle.radius, 0.0));
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y: route_csc.start.circle.center.y
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+ route_csc.start.circle.radius * (180.0 - route_csc.start.angle).to_radians().sin(),
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};
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// get the angle of the start circle
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// get the angle of the start circle
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// the angle where we start from the tangent equals the one we finish
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// the angle where we start from the tangent equals the one we finish
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// so we can use that in here
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// so we can use that in here
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route_csc.end.angle = end.angle - route_csc.start.angle;
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route_csc.end.angle = (end.angle - route_csc.start.angle).positive();
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// make the angle pretty
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if route_csc.end.angle < 0.0 {
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route_csc.end.angle += 360.0;
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}
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if route_csc.end.angle >= 360.0 {
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route_csc.end.angle -= 360.0;
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}
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Ok(route_csc)
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Ok(route_csc)
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}
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}
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@@ -145,54 +125,47 @@ pub fn lsl(end: Vector) -> Result<RouteCSC, ()> {
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let mut route_csc = RouteCSC {
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let mut route_csc = RouteCSC {
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start: CircleRoute {
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start: CircleRoute {
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circle: Circle {
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circle: Circle {
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center: Point {
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center: Point::new(-end.magnitude, 0.0),
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x: -end.magnitude,
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y: 0.0,
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},
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radius: end.magnitude,
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radius: end.magnitude,
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},
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},
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angle: 0.0,
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angle: Angle::zero(),
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},
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},
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tangent: Vector {
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tangent: Vector {
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origin: Point { x: 0.0, y: 0.0 },
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origin: Point::zero(),
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angle: 0.0,
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angle: Angle::zero(),
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magnitude: 0.0,
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magnitude: 0.0,
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},
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},
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end: CircleRoute {
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end: CircleRoute {
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circle: Circle {
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circle: Circle {
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center: Point { x: 0.0, y: 0.0 },
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center: Point::zero(),
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radius: end.magnitude,
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radius: end.magnitude,
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},
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},
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angle: 0.0,
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angle: Angle::zero(),
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},
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},
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};
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};
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// get the center point by adding the end vector to the end point
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// get the center point by adding the end vector to the end point
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// we have to rotate the vector 180° (90° because the given angle is from the y axis
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// we have to rotate the vector π (π/2 because the given angle is from the y axis
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// and 90 more to not get the tangent but the vector to the center point)
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// and π/2 more to not get the tangent but the vector to the center point)
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// and again we have to use the counter clockwise direction
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// and again we have to use the counter clockwise direction
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route_csc.end.circle.center = Point {
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route_csc.end.circle.center = end.origin
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x: end.origin.x + end.magnitude * (180.0 - end.angle).to_radians().cos(),
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+ Rotation::new(Angle::pi() - end.angle)
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y: end.origin.y + end.magnitude * (180.0 - end.angle).to_radians().sin(),
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.transform_vector(Vector2D::new(end.magnitude, 0.0));
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};
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// get the tangent pitch which is the same as the pitch between the two
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// get the tangent pitch which is the same as the pitch between the two
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// circle centers since our circles have the same radius
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// circle centers since our circles have the same radius
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route_csc.tangent.angle = ((route_csc.end.circle.center.y - route_csc.start.circle.center.y)
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route_csc.tangent.angle = Angle::radians(
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/ (route_csc.end.circle.center.x - route_csc.start.circle.center.x))
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((route_csc.end.circle.center.y - route_csc.start.circle.center.y)
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.atan()
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/ (route_csc.end.circle.center.x - route_csc.start.circle.center.x))
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.to_degrees();
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.atan(),
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)
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.positive();
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// if the end circle center x value is smaller than the
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// if the end circle center x value is smaller than the
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// start circle center x value
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// start circle center x value
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// the angle would be 180° rotated so to prevent that:
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// the angle would be π rotated so to prevent that:
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if route_csc.end.circle.center.x < route_csc.start.circle.center.x {
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if route_csc.end.circle.center.x < route_csc.start.circle.center.x {
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route_csc.tangent.angle += 180.0;
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route_csc.tangent.angle = (route_csc.tangent.angle + Angle::pi()).positive();
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}
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// make the angle positive
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if route_csc.tangent.angle < 0.0 {
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route_csc.tangent.angle += 360.0;
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}
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}
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// get the tangent magnitude this, again, is the same as the distance
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// get the tangent magnitude this, again, is the same as the distance
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@@ -200,44 +173,25 @@ pub fn lsl(end: Vector) -> Result<RouteCSC, ()> {
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route_csc.tangent.magnitude = ((route_csc.end.circle.center.x
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route_csc.tangent.magnitude = ((route_csc.end.circle.center.x
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- route_csc.start.circle.center.x)
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- route_csc.start.circle.center.x)
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.abs()
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.abs()
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.powf(2.0)
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.powi(2)
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+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y)
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+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y)
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.abs()
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.abs()
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.powf(2.0))
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.powi(2))
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.sqrt();
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.sqrt();
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// get the angle of the start circle
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// get the angle of the start circle
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route_csc.start.angle = route_csc.tangent.angle - 90.0;
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route_csc.start.angle = (route_csc.tangent.angle - Angle::frac_pi_2()).positive();
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// make the angle pretty
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if route_csc.start.angle < 0.0 {
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route_csc.start.angle += 360.0;
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}
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if route_csc.start.angle >= 360.0 {
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route_csc.start.angle -= 360.0;
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}
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|
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// get the tangent origin by moving the vector from the start circle center
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// get the tangent origin by moving the vector from the start circle center
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// 90° to it's own direction and the magnitude of the circle radius
|
// 90° to it's own direction and the magnitude of the circle radius
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route_csc.tangent.origin = Point {
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route_csc.tangent.origin = route_csc.start.circle.center
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x: route_csc.start.circle.center.x
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+ Rotation::new(route_csc.start.angle)
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+ route_csc.start.circle.radius * route_csc.start.angle.to_radians().cos(),
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.transform_vector(Vector2D::new(route_csc.start.circle.radius, 0.0));
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y: route_csc.start.circle.center.y
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+ route_csc.start.circle.radius * route_csc.start.angle.to_radians().sin(),
|
|
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};
|
|
||||||
|
|
||||||
// get the angle of the start circle
|
// get the angle of the start circle
|
||||||
// the angle where we start from the tangent equals the one we finish
|
// the angle where we start from the tangent equals the one we finish
|
||||||
// so we can use that in here
|
// so we can use that in here
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||||||
route_csc.end.angle = end.angle - route_csc.start.angle;
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route_csc.end.angle = (end.angle - route_csc.start.angle).positive();
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// make the angle pretty
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||||||
if route_csc.end.angle < 0.0 {
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||||||
route_csc.end.angle += 360.0;
|
|
||||||
}
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|
||||||
if route_csc.end.angle >= 360.0 {
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|
||||||
route_csc.end.angle -= 360.0;
|
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||||||
}
|
|
||||||
|
|
||||||
Ok(route_csc)
|
Ok(route_csc)
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||||||
}
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}
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@@ -247,40 +201,36 @@ pub fn rsl(end: Vector) -> Result<RouteCSC, ()> {
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|||||||
let mut route_csc = RouteCSC {
|
let mut route_csc = RouteCSC {
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||||||
start: CircleRoute {
|
start: CircleRoute {
|
||||||
circle: Circle {
|
circle: Circle {
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||||||
center: Point {
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center: Point::new(end.magnitude, 0.0),
|
||||||
x: end.magnitude,
|
|
||||||
y: 0.0,
|
|
||||||
},
|
|
||||||
radius: end.magnitude,
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radius: end.magnitude,
|
||||||
},
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},
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||||||
angle: 0.0,
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angle: Angle::zero(),
|
||||||
},
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},
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tangent: Vector {
|
tangent: Vector {
|
||||||
origin: Point { x: 0.0, y: 0.0 },
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origin: Point::zero(),
|
||||||
angle: 0.0,
|
angle: Angle::zero(),
|
||||||
magnitude: 0.0,
|
magnitude: 0.0,
|
||||||
},
|
},
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||||||
end: CircleRoute {
|
end: CircleRoute {
|
||||||
circle: Circle {
|
circle: Circle {
|
||||||
center: Point { x: 0.0, y: 0.0 },
|
center: Point::zero(),
|
||||||
radius: end.magnitude,
|
radius: end.magnitude,
|
||||||
},
|
},
|
||||||
angle: 0.0,
|
angle: Angle::zero(),
|
||||||
},
|
},
|
||||||
};
|
};
|
||||||
|
|
||||||
// get the center point by adding the end vector to the end point
|
// get the center point by adding the end vector to the end point
|
||||||
// we have to rotate the vector 180° (90° because the given angle is from the y axis
|
// we have to rotate the vector π (π/2 because the given angle is from the y axis
|
||||||
// and 90 more to not get the tangent but the vector to the center point)
|
// and π/2 more to not get the tangent but the vector to the center point)
|
||||||
// and again we have to use the counter clockwise direction
|
// and again we have to use the counter clockwise direction
|
||||||
route_csc.end.circle.center = Point {
|
route_csc.end.circle.center = end.origin
|
||||||
x: end.origin.x + end.magnitude * (180.0 - end.angle).to_radians().cos(),
|
+ Rotation::new(Angle::pi() - end.angle)
|
||||||
y: end.origin.y + end.magnitude * (180.0 - end.angle).to_radians().sin(),
|
.transform_vector(Vector2D::new(end.magnitude, 0.0));
|
||||||
};
|
|
||||||
|
|
||||||
// check if inside tangent can even be constructed
|
// check if inside tangent can even be constructed
|
||||||
if ((route_csc.end.circle.center.x - route_csc.start.circle.center.x).powf(2.0)
|
if ((route_csc.end.circle.center.x - route_csc.start.circle.center.x).powi(2)
|
||||||
+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y).powf(2.0))
|
+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y).powi(2))
|
||||||
.sqrt()
|
.sqrt()
|
||||||
< 2.0 * end.magnitude
|
< 2.0 * end.magnitude
|
||||||
{
|
{
|
||||||
@@ -289,63 +239,44 @@ pub fn rsl(end: Vector) -> Result<RouteCSC, ()> {
|
|||||||
|
|
||||||
// get the tangent length via some simple trigonometry
|
// get the tangent length via some simple trigonometry
|
||||||
route_csc.tangent.magnitude =
|
route_csc.tangent.magnitude =
|
||||||
((route_csc.end.circle.center.x - route_csc.start.circle.center.x).powf(2.0)
|
((route_csc.end.circle.center.x - route_csc.start.circle.center.x).powi(2)
|
||||||
+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y).powf(2.0)
|
+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y).powi(2)
|
||||||
- (2.0 * end.magnitude).powf(2.0))
|
- (2.0 * end.magnitude).powi(2))
|
||||||
.sqrt();
|
.sqrt();
|
||||||
|
|
||||||
// tangent middle is the same as the middle of the straight from the center of the start
|
// tangent middle is the same as the middle of the straight from the center of the start
|
||||||
let tangent_middle = Point {
|
let tangent_middle = route_csc
|
||||||
x: (route_csc.end.circle.center.x + route_csc.start.circle.center.x) / 2.0,
|
.end
|
||||||
y: (route_csc.end.circle.center.y + route_csc.start.circle.center.y) / 2.0,
|
.circle
|
||||||
};
|
.center
|
||||||
|
.lerp(route_csc.start.circle.center, 0.5);
|
||||||
|
|
||||||
// get the tangent angle
|
// get the tangent angle
|
||||||
route_csc.tangent.angle = ((route_csc.end.circle.center.y - tangent_middle.y)
|
route_csc.tangent.angle = Angle::radians(
|
||||||
/ (route_csc.end.circle.center.x - tangent_middle.x))
|
((route_csc.end.circle.center.y - tangent_middle.y)
|
||||||
.atan()
|
/ (route_csc.end.circle.center.x - tangent_middle.x))
|
||||||
.to_degrees()
|
|
||||||
- (2.0 * end.magnitude / route_csc.tangent.magnitude)
|
|
||||||
.atan()
|
.atan()
|
||||||
.to_degrees();
|
- (2.0 * end.magnitude / route_csc.tangent.magnitude).atan(),
|
||||||
|
);
|
||||||
|
|
||||||
// if the end circle center x value is smaller than the
|
// if the end circle center x value is smaller than the
|
||||||
// start circle center x value
|
// start circle center x value
|
||||||
// the angle would be 180° rotated so to prevent that:
|
// the angle would be π rotated so to prevent that:
|
||||||
if route_csc.end.circle.center.x < route_csc.start.circle.center.x {
|
if route_csc.end.circle.center.x < route_csc.start.circle.center.x {
|
||||||
route_csc.tangent.angle += 180.0;
|
route_csc.tangent.angle += Angle::pi();
|
||||||
}
|
}
|
||||||
|
|
||||||
// get the angle of the start circle
|
// get the angle of the start circle
|
||||||
route_csc.start.angle = 90.0 - route_csc.tangent.angle;
|
route_csc.start.angle = (Angle::frac_pi_2() - route_csc.tangent.angle).positive();
|
||||||
|
|
||||||
// make the angle pretty
|
|
||||||
if route_csc.start.angle < 0.0 {
|
|
||||||
route_csc.start.angle += 360.0;
|
|
||||||
}
|
|
||||||
if route_csc.start.angle >= 360.0 {
|
|
||||||
route_csc.start.angle -= 360.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
// get the tangent origin by moving the vector from the start circle center
|
// get the tangent origin by moving the vector from the start circle center
|
||||||
// along its right angle vector
|
// along its right angle vector
|
||||||
route_csc.tangent.origin = Point {
|
route_csc.tangent.origin = route_csc.start.circle.center
|
||||||
x: route_csc.start.circle.center.x
|
+ Rotation::new(Angle::pi() - route_csc.start.angle)
|
||||||
+ route_csc.start.circle.radius * (180.0 - route_csc.start.angle).to_radians().cos(),
|
.transform_vector(Vector2D::new(route_csc.start.circle.radius, 0.0));
|
||||||
y: route_csc.start.circle.center.y
|
|
||||||
+ route_csc.start.circle.radius * (180.0 - route_csc.start.angle).to_radians().sin(),
|
|
||||||
};
|
|
||||||
|
|
||||||
// get the angle of the end circle
|
// get the angle of the end circle
|
||||||
route_csc.end.angle = (90.0 - end.angle) - route_csc.tangent.angle;
|
route_csc.end.angle = ((Angle::frac_pi_2() - end.angle) - route_csc.tangent.angle).positive();
|
||||||
|
|
||||||
// make the angle pretty
|
|
||||||
if route_csc.end.angle < 0.0 {
|
|
||||||
route_csc.end.angle += 360.0;
|
|
||||||
}
|
|
||||||
if route_csc.end.angle >= 360.0 {
|
|
||||||
route_csc.end.angle -= 360.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
Ok(route_csc)
|
Ok(route_csc)
|
||||||
}
|
}
|
||||||
@@ -355,40 +286,37 @@ pub fn lsr(end: Vector) -> Result<RouteCSC, ()> {
|
|||||||
let mut route_csc = RouteCSC {
|
let mut route_csc = RouteCSC {
|
||||||
start: CircleRoute {
|
start: CircleRoute {
|
||||||
circle: Circle {
|
circle: Circle {
|
||||||
center: Point {
|
center: Point::new(-end.magnitude, 0.0),
|
||||||
x: -end.magnitude,
|
|
||||||
y: 0.0,
|
|
||||||
},
|
|
||||||
radius: end.magnitude,
|
radius: end.magnitude,
|
||||||
},
|
},
|
||||||
angle: 0.0,
|
angle: Angle::zero(),
|
||||||
},
|
},
|
||||||
tangent: Vector {
|
tangent: Vector {
|
||||||
origin: Point { x: 0.0, y: 0.0 },
|
origin: Point::zero(),
|
||||||
angle: 0.0,
|
angle: Angle::zero(),
|
||||||
magnitude: 0.0,
|
magnitude: 0.0,
|
||||||
},
|
},
|
||||||
end: CircleRoute {
|
end: CircleRoute {
|
||||||
circle: Circle {
|
circle: Circle {
|
||||||
center: Point { x: 0.0, y: 0.0 },
|
center: Point::zero(),
|
||||||
radius: end.magnitude,
|
radius: end.magnitude,
|
||||||
},
|
},
|
||||||
angle: 0.0,
|
angle: Angle::zero(),
|
||||||
},
|
},
|
||||||
};
|
};
|
||||||
|
|
||||||
// get the center point by adding the end vector to the end point
|
// get the center point by adding the end vector to the end point
|
||||||
// this works because the argument is the angle in positive y direction
|
// this works because the argument is the angle in positive y direction
|
||||||
// not positive x direction so we dont have to rotate it here anymore
|
// not positive x direction so we dont have to rotate it here anymore
|
||||||
// the angle has to be counter clockwise though (thats why 360 - end.angle)
|
// the angle has to be counter clockwise though (thats why 2π - end.angle)
|
||||||
route_csc.end.circle.center = Point {
|
route_csc.end.circle.center = end.origin
|
||||||
x: end.origin.x + end.magnitude * (360.0 - end.angle).to_radians().cos(),
|
+ Rotation::new(end.angle)
|
||||||
y: end.origin.y + end.magnitude * (360.0 - end.angle).to_radians().sin(),
|
.inverse()
|
||||||
};
|
.transform_vector(Vector2D::new(end.magnitude, 0.0));
|
||||||
|
|
||||||
// check if inside tangent can even be constructed
|
// check if inside tangent can even be constructed
|
||||||
if ((route_csc.end.circle.center.x - route_csc.start.circle.center.x).powf(2.0)
|
if ((route_csc.end.circle.center.x - route_csc.start.circle.center.x).powi(2)
|
||||||
+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y).powf(2.0))
|
+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y).powi(2))
|
||||||
.sqrt()
|
.sqrt()
|
||||||
< 2.0 * end.magnitude
|
< 2.0 * end.magnitude
|
||||||
{
|
{
|
||||||
@@ -397,63 +325,44 @@ pub fn lsr(end: Vector) -> Result<RouteCSC, ()> {
|
|||||||
|
|
||||||
// get the tangent length via some simple trigonometry
|
// get the tangent length via some simple trigonometry
|
||||||
route_csc.tangent.magnitude =
|
route_csc.tangent.magnitude =
|
||||||
((route_csc.end.circle.center.x - route_csc.start.circle.center.x).powf(2.0)
|
((route_csc.end.circle.center.x - route_csc.start.circle.center.x).powi(2)
|
||||||
+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y).powf(2.0)
|
+ (route_csc.end.circle.center.y - route_csc.start.circle.center.y).powi(2)
|
||||||
- (2.0 * end.magnitude).powf(2.0))
|
- (2.0 * end.magnitude).powi(2))
|
||||||
.sqrt();
|
.sqrt();
|
||||||
|
|
||||||
// tangent middle is the same as the middle of the straight from the center of the start
|
// tangent middle is the same as the middle of the straight from the center of the start
|
||||||
let tangent_middle = Point {
|
let tangent_middle = route_csc
|
||||||
x: (route_csc.end.circle.center.x + route_csc.start.circle.center.x) / 2.0,
|
.end
|
||||||
y: (route_csc.end.circle.center.y + route_csc.start.circle.center.y) / 2.0,
|
.circle
|
||||||
};
|
.center
|
||||||
|
.lerp(route_csc.start.circle.center, 0.5);
|
||||||
|
|
||||||
// get the tangent angle
|
// get the tangent angle
|
||||||
route_csc.tangent.angle = ((route_csc.end.circle.center.y - tangent_middle.y)
|
route_csc.tangent.angle = Angle::radians(
|
||||||
/ (route_csc.end.circle.center.x - tangent_middle.x))
|
((route_csc.end.circle.center.y - tangent_middle.y)
|
||||||
.atan()
|
/ (route_csc.end.circle.center.x - tangent_middle.x))
|
||||||
.to_degrees()
|
|
||||||
+ (2.0 * end.magnitude / route_csc.tangent.magnitude)
|
|
||||||
.atan()
|
.atan()
|
||||||
.to_degrees();
|
+ (2.0 * end.magnitude / route_csc.tangent.magnitude).atan(),
|
||||||
|
);
|
||||||
|
|
||||||
// if the end circle center x value is smaller than the
|
// if the end circle center x value is smaller than the
|
||||||
// start circle center x value
|
// start circle center x value
|
||||||
// the angle would be 180° rotated so to prevent that:
|
// the angle would be 180° rotated so to prevent that:
|
||||||
if route_csc.end.circle.center.x < route_csc.start.circle.center.x {
|
if route_csc.end.circle.center.x < route_csc.start.circle.center.x {
|
||||||
route_csc.tangent.angle += 180.0;
|
route_csc.tangent.angle += Angle::pi();
|
||||||
}
|
}
|
||||||
|
|
||||||
// get the angle of the start circle
|
// get the angle of the start circle
|
||||||
route_csc.start.angle = route_csc.tangent.angle - 90.0;
|
route_csc.start.angle = (route_csc.tangent.angle - Angle::frac_pi_2()).positive();
|
||||||
|
|
||||||
// make the angle pretty
|
|
||||||
if route_csc.start.angle < 0.0 {
|
|
||||||
route_csc.start.angle += 360.0;
|
|
||||||
}
|
|
||||||
if route_csc.start.angle >= 360.0 {
|
|
||||||
route_csc.start.angle -= 360.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
// get the tangent origin by moving the vector from the start circle center
|
// get the tangent origin by moving the vector from the start circle center
|
||||||
// 90° to it's own direction and the magnitude of the circle radius
|
// 90° to it's own direction and the magnitude of the circle radius
|
||||||
route_csc.tangent.origin = Point {
|
route_csc.tangent.origin = route_csc.start.circle.center
|
||||||
x: route_csc.start.circle.center.x
|
+ Rotation::new(route_csc.start.angle)
|
||||||
+ route_csc.start.circle.radius * route_csc.start.angle.to_radians().cos(),
|
.transform_vector(Vector2D::new(route_csc.start.circle.radius, 0.0));
|
||||||
y: route_csc.start.circle.center.y
|
|
||||||
+ route_csc.start.circle.radius * route_csc.start.angle.to_radians().sin(),
|
|
||||||
};
|
|
||||||
|
|
||||||
// get the angle of the end circle
|
// get the angle of the end circle
|
||||||
route_csc.end.angle = (90.0 - end.angle) - route_csc.tangent.angle;
|
route_csc.end.angle = ((Angle::frac_pi_2() - end.angle) - route_csc.tangent.angle).positive();
|
||||||
|
|
||||||
// make the angle pretty
|
|
||||||
if route_csc.end.angle < 0.0 {
|
|
||||||
route_csc.end.angle += 360.0;
|
|
||||||
}
|
|
||||||
if route_csc.end.angle >= 360.0 {
|
|
||||||
route_csc.end.angle -= 360.0;
|
|
||||||
}
|
|
||||||
|
|
||||||
Ok(route_csc)
|
Ok(route_csc)
|
||||||
}
|
}
|
||||||
|
|||||||
Reference in New Issue
Block a user