kscience/kmath
9
0
Fork 1
Code Issues Pull Requests 6 Packages Projects Releases 16 Wiki Activity

0.3.1-dev-11 #510

Merged
altavir merged 80 commits from dev into master 2023-04-05 18:46:36 +03:00
Conversation 0 Commits 80 Files Changed 264 +217 -118
9 changed files with 217 additions and 118 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files
Showing only changes of commit 0366a69123 - Show all commits

4
kmath-geometry/src/commonMain/kotlin/space/kscience/kmath/geometry/Circle2D.kt
View File

@ -5,13 +5,15 @@
package space.kscience.kmath.geometry
import kotlinx.serialization.Serializable
import kotlin.math.PI
/**
* A circle in 2D space
*/
@Serializable
public data class Circle2D(
public val center: DoubleVector2D,
@Serializable(Euclidean2DSpace.VectorSerializer::class) public val center: DoubleVector2D,
public val radius: Double
)

21
kmath-geometry/src/commonMain/kotlin/space/kscience/kmath/geometry/Euclidean2DSpace.kt
View File

@ -5,6 +5,12 @@
package space.kscience.kmath.geometry
import kotlinx.serialization.KSerializer
import kotlinx.serialization.SerialName
import kotlinx.serialization.Serializable
import kotlinx.serialization.descriptors.SerialDescriptor
import kotlinx.serialization.encoding.Decoder
import kotlinx.serialization.encoding.Encoder
import space.kscience.kmath.linear.Point
import space.kscience.kmath.operations.Norm
import space.kscience.kmath.operations.ScaleOperations
@ -33,6 +39,7 @@ public operator fun <T> Vector2D<T>.component1(): T = x
public operator fun <T> Vector2D<T>.component2(): T = y
public typealias DoubleVector2D = Vector2D<Double>
public typealias Float64Vector2D = Vector2D<Double>
public val Vector2D<Double>.r: Double get() = Euclidean2DSpace.norm(this)
@ -44,11 +51,25 @@ public object Euclidean2DSpace : GeometrySpace<DoubleVector2D>,
ScaleOperations<DoubleVector2D>,
Norm<DoubleVector2D, Double> {
@Serializable
@SerialName("Float64Vector2D")
private data class Vector2DImpl(
override val x: Double,
override val y: Double,
) : DoubleVector2D
public object VectorSerializer : KSerializer<DoubleVector2D> {
private val proxySerializer = Vector2DImpl.serializer()
override val descriptor: SerialDescriptor get() = proxySerializer.descriptor
override fun deserialize(decoder: Decoder): DoubleVector2D = decoder.decodeSerializableValue(proxySerializer)
override fun serialize(encoder: Encoder, value: DoubleVector2D) {
val vector = value as? Vector2DImpl ?: Vector2DImpl(value.x, value.y)
encoder.encodeSerializableValue(proxySerializer, vector)
}
}
public fun vector(x: Number, y: Number): DoubleVector2D = Vector2DImpl(x.toDouble(), y.toDouble())
override val zero: DoubleVector2D by lazy { vector(0.0, 0.0) }

22
kmath-geometry/src/commonMain/kotlin/space/kscience/kmath/geometry/Euclidean3DSpace.kt
View File

@ -5,6 +5,12 @@
package space.kscience.kmath.geometry
import kotlinx.serialization.KSerializer
import kotlinx.serialization.SerialName
import kotlinx.serialization.Serializable
import kotlinx.serialization.descriptors.SerialDescriptor
import kotlinx.serialization.encoding.Decoder
import kotlinx.serialization.encoding.Encoder
import space.kscience.kmath.linear.Point
import space.kscience.kmath.operations.Norm
import space.kscience.kmath.operations.ScaleOperations
@ -45,17 +51,33 @@ public fun <T> Buffer<T>.asVector3D(): Vector3D<T> = object : Vector3D<T> {
}
public typealias DoubleVector3D = Vector3D<Double>
public typealias Float64Vector3D = Vector3D<Double>
public val DoubleVector3D.r: Double get() = Euclidean3DSpace.norm(this)
public object Euclidean3DSpace : GeometrySpace<DoubleVector3D>, ScaleOperations<DoubleVector3D>,
Norm<DoubleVector3D, Double> {
@Serializable
@SerialName("Float64Vector3D")
private data class Vector3DImpl(
override val x: Double,
override val y: Double,
override val z: Double,
) : DoubleVector3D
public object VectorSerializer : KSerializer<DoubleVector3D> {
private val proxySerializer = Vector3DImpl.serializer()
override val descriptor: SerialDescriptor get() = proxySerializer.descriptor
override fun deserialize(decoder: Decoder): DoubleVector3D = decoder.decodeSerializableValue(proxySerializer)
override fun serialize(encoder: Encoder, value: DoubleVector3D) {
val vector = value as? Vector3DImpl ?: Vector3DImpl(value.x, value.y, value.z)
encoder.encodeSerializableValue(proxySerializer, vector)
}
}
public fun vector(x: Number, y: Number, z: Number): DoubleVector3D =
Vector3DImpl(x.toDouble(), y.toDouble(), z.toDouble())

11
kmath-geometry/src/commonMain/kotlin/space/kscience/kmath/geometry/Line.kt
View File

@ -5,10 +5,13 @@
package space.kscience.kmath.geometry
import kotlinx.serialization.Serializable
/**
* A line formed by [base] vector of start and a [direction] vector. Direction vector is not necessarily normalized,
* but its length does not affect line properties
*/
@Serializable
public data class Line<out V : Vector>(val base: V, val direction: V)
public typealias Line2D = Line<DoubleVector2D>
@ -17,4 +20,12 @@ public typealias Line3D = Line<DoubleVector3D>
/**
* A directed line segment between [begin] and [end]
*/
@Serializable
public data class LineSegment<out V : Vector>(val begin: V, val end: V)
public fun <V : Vector> LineSegment<V>.line(algebra: GeometrySpace<V>): Line<V> = with(algebra) {
Line(begin, end - begin)
}
public typealias LineSegment2D = LineSegment<DoubleVector2D>
public typealias LineSegment3D = LineSegment<DoubleVector3D>

173
kmath-trajectory/src/commonMain/kotlin/space/kscience/kmath/trajectory/DubinsPath.kt
View File

@ -57,7 +57,11 @@ internal fun leftInnerTangent(base: Circle2D, direction: Circle2D): StraightTraj
internal fun rightInnerTangent(base: Circle2D, direction: Circle2D): StraightTrajectory2D? =
innerTangent(base, direction, CircleTrajectory2D.Direction.RIGHT)
private fun innerTangent(base: Circle2D, direction: Circle2D, side: CircleTrajectory2D.Direction): StraightTrajectory2D? =
private fun innerTangent(
base: Circle2D,
direction: Circle2D,
side: CircleTrajectory2D.Direction,
): StraightTrajectory2D? =
with(Euclidean2DSpace) {
val centers = StraightTrajectory2D(base.center, direction.center)
if (centers.length < base.radius * 2) return null
@ -76,43 +80,49 @@ private fun innerTangent(base: Circle2D, direction: Circle2D, side: CircleTrajec
internal fun theta(theta: Double): Double = (theta + (2 * PI)) % (2 * PI)
@Suppress("DuplicatedCode")
public class DubinsPath(
public val a: CircleTrajectory2D,
public val b: Trajectory2D,
public val c: CircleTrajectory2D,
) : CompositeTrajectory2D(listOf(a, b, c)) {
public object DubinsPath {
public val type: TYPE = TYPE.valueOf(
arrayOf(
a.direction.name[0],
if (b is CircleTrajectory2D) b.direction.name[0] else 'S',
c.direction.name[0]
).toCharArray().concatToString()
)
public enum class TYPE {
public enum class Type {
RLR, LRL, RSR, LSL, RSL, LSR
}
public companion object {
public fun all(
start: DubinsPose2D,
end: DubinsPose2D,
turningRadius: Double,
): List<DubinsPath> = listOfNotNull(
rlr(start, end, turningRadius),
lrl(start, end, turningRadius),
rsr(start, end, turningRadius),
lsl(start, end, turningRadius),
rsl(start, end, turningRadius),
lsr(start, end, turningRadius)
/**
* Return Dubins trajectory type or null if trajectory is not a Dubins path
*/
public fun trajectoryTypeOf(trajectory2D: CompositeTrajectory2D): Type?{
if(trajectory2D.segments.size != 3) return null
val a = trajectory2D.segments.first() as? CircleTrajectory2D ?: return null
val b = trajectory2D.segments[1]
val c = trajectory2D.segments.last() as? CircleTrajectory2D ?: return null
return Type.valueOf(
arrayOf(
a.direction.name[0],
if (b is CircleTrajectory2D) b.direction.name[0] else 'S',
c.direction.name[0]
).toCharArray().concatToString()
)
}
public fun shortest(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): DubinsPath =
all(start, end, turningRadius).minBy { it.length }
public fun all(
start: DubinsPose2D,
end: DubinsPose2D,
turningRadius: Double,
): List<CompositeTrajectory2D> = listOfNotNull(
rlr(start, end, turningRadius),
lrl(start, end, turningRadius),
rsr(start, end, turningRadius),
lsl(start, end, turningRadius),
rsl(start, end, turningRadius),
lsr(start, end, turningRadius)
)
public fun rlr(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): DubinsPath? = with(Euclidean2DSpace) {
public fun shortest(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): CompositeTrajectory2D =
all(start, end, turningRadius).minBy { it.length }
public fun rlr(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): CompositeTrajectory2D? =
with(Euclidean2DSpace) {
val c1 = start.getRightCircle(turningRadius)
val c2 = end.getRightCircle(turningRadius)
val centers = StraightTrajectory2D(c1.center, c2.center)
@ -132,7 +142,7 @@ public class DubinsPath(
val a1 = CircleTrajectory2D.of(c1.center, start, p1, CircleTrajectory2D.Direction.RIGHT)
val a2 = CircleTrajectory2D.of(e.center, p1, p2, CircleTrajectory2D.Direction.LEFT)
val a3 = CircleTrajectory2D.of(c2.center, p2, end, CircleTrajectory2D.Direction.RIGHT)
DubinsPath(a1, a2, a3)
CompositeTrajectory2D(a1, a2, a3)
}
val secondVariant = run {
@ -149,13 +159,14 @@ public class DubinsPath(
val a1 = CircleTrajectory2D.of(c1.center, start, p1, CircleTrajectory2D.Direction.RIGHT)
val a2 = CircleTrajectory2D.of(e.center, p1, p2, CircleTrajectory2D.Direction.LEFT)
val a3 = CircleTrajectory2D.of(c2.center, p2, end, CircleTrajectory2D.Direction.RIGHT)
DubinsPath(a1, a2, a3)
CompositeTrajectory2D(a1, a2, a3)
}
return if (firstVariant.length < secondVariant.length) firstVariant else secondVariant
}
public fun lrl(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): DubinsPath? = with(Euclidean2DSpace) {
public fun lrl(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): CompositeTrajectory2D? =
with(Euclidean2DSpace) {
val c1 = start.getLeftCircle(turningRadius)
val c2 = end.getLeftCircle(turningRadius)
val centers = StraightTrajectory2D(c1.center, c2.center)
@ -175,10 +186,10 @@ public class DubinsPath(
val a1 = CircleTrajectory2D.of(c1.center, start, p1, CircleTrajectory2D.Direction.LEFT)
val a2 = CircleTrajectory2D.of(e.center, p1, p2, CircleTrajectory2D.Direction.RIGHT)
val a3 = CircleTrajectory2D.of(c2.center, p2, end, CircleTrajectory2D.Direction.LEFT)
DubinsPath(a1, a2, a3)
CompositeTrajectory2D(a1, a2, a3)
}
val secondVariant = run{
val secondVariant = run {
var theta = theta(centers.bearing - acos(centers.length / (turningRadius * 4)))
var dX = turningRadius * sin(theta)
var dY = turningRadius * cos(theta)
@ -192,50 +203,60 @@ public class DubinsPath(
val a1 = CircleTrajectory2D.of(c1.center, start, p1, CircleTrajectory2D.Direction.LEFT)
val a2 = CircleTrajectory2D.of(e.center, p1, p2, CircleTrajectory2D.Direction.RIGHT)
val a3 = CircleTrajectory2D.of(c2.center, p2, end, CircleTrajectory2D.Direction.LEFT)
DubinsPath(a1, a2, a3)
CompositeTrajectory2D(a1, a2, a3)
}
return if (firstVariant.length < secondVariant.length) firstVariant else secondVariant
}
public fun rsr(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): DubinsPath {
val c1 = start.getRightCircle(turningRadius)
val c2 = end.getRightCircle(turningRadius)
val s = leftOuterTangent(c1, c2)
val a1 = CircleTrajectory2D.of(c1.center, start, s.start, CircleTrajectory2D.Direction.RIGHT)
val a3 = CircleTrajectory2D.of(c2.center, s.end, end, CircleTrajectory2D.Direction.RIGHT)
return DubinsPath(a1, s, a3)
}
public fun lsl(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): DubinsPath {
val c1 = start.getLeftCircle(turningRadius)
val c2 = end.getLeftCircle(turningRadius)
val s = rightOuterTangent(c1, c2)
val a1 = CircleTrajectory2D.of(c1.center, start, s.start, CircleTrajectory2D.Direction.LEFT)
val a3 = CircleTrajectory2D.of(c2.center, s.end, end, CircleTrajectory2D.Direction.LEFT)
return DubinsPath(a1, s, a3)
}
public fun rsl(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): DubinsPath? {
val c1 = start.getRightCircle(turningRadius)
val c2 = end.getLeftCircle(turningRadius)
val s = rightInnerTangent(c1, c2)
if (s == null || c1.center.distanceTo(c2.center) < turningRadius * 2) return null
val a1 = CircleTrajectory2D.of(c1.center, start, s.start, CircleTrajectory2D.Direction.RIGHT)
val a3 = CircleTrajectory2D.of(c2.center, s.end, end, CircleTrajectory2D.Direction.LEFT)
return DubinsPath(a1, s, a3)
}
public fun lsr(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): DubinsPath? {
val c1 = start.getLeftCircle(turningRadius)
val c2 = end.getRightCircle(turningRadius)
val s = leftInnerTangent(c1, c2)
if (s == null || c1.center.distanceTo(c2.center) < turningRadius * 2) return null
val a1 = CircleTrajectory2D.of(c1.center, start, s.start, CircleTrajectory2D.Direction.LEFT)
val a3 = CircleTrajectory2D.of(c2.center, s.end, end, CircleTrajectory2D.Direction.RIGHT)
return DubinsPath(a1, s, a3)
}
public fun rsr(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): CompositeTrajectory2D {
val c1 = start.getRightCircle(turningRadius)
val c2 = end.getRightCircle(turningRadius)
val s = leftOuterTangent(c1, c2)
val a1 = CircleTrajectory2D.of(c1.center, start, s.start, CircleTrajectory2D.Direction.RIGHT)
val a3 = CircleTrajectory2D.of(c2.center, s.end, end, CircleTrajectory2D.Direction.RIGHT)
return CompositeTrajectory2D(a1, s, a3)
}
}
public fun lsl(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): CompositeTrajectory2D {
val c1 = start.getLeftCircle(turningRadius)
val c2 = end.getLeftCircle(turningRadius)
val s = rightOuterTangent(c1, c2)
val a1 = CircleTrajectory2D.of(c1.center, start, s.start, CircleTrajectory2D.Direction.LEFT)
val a3 = CircleTrajectory2D.of(c2.center, s.end, end, CircleTrajectory2D.Direction.LEFT)
return CompositeTrajectory2D(a1, s, a3)
}
public fun rsl(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): CompositeTrajectory2D? {
val c1 = start.getRightCircle(turningRadius)
val c2 = end.getLeftCircle(turningRadius)
val s = rightInnerTangent(c1, c2)
if (s == null || c1.center.distanceTo(c2.center) < turningRadius * 2) return null
val a1 = CircleTrajectory2D.of(c1.center, start, s.start, CircleTrajectory2D.Direction.RIGHT)
val a3 = CircleTrajectory2D.of(c2.center, s.end, end, CircleTrajectory2D.Direction.LEFT)
return CompositeTrajectory2D(a1, s, a3)
}
public fun lsr(start: DubinsPose2D, end: DubinsPose2D, turningRadius: Double): CompositeTrajectory2D? {
val c1 = start.getLeftCircle(turningRadius)
val c2 = end.getRightCircle(turningRadius)
val s = leftInnerTangent(c1, c2)
if (s == null || c1.center.distanceTo(c2.center) < turningRadius * 2) return null
val a1 = CircleTrajectory2D.of(c1.center, start, s.start, CircleTrajectory2D.Direction.LEFT)
val a3 = CircleTrajectory2D.of(c2.center, s.end, end, CircleTrajectory2D.Direction.RIGHT)
return CompositeTrajectory2D(a1, s, a3)
}
}
public fun interface MaxCurvature {
public fun compute(startPoint: PhaseVector2D): Double
}
public fun DubinsPath.shortest(
start: PhaseVector2D,
end: PhaseVector2D,
maxCurvature: MaxCurvature,
): CompositeTrajectory2D = shortest(start, end, maxCurvature.compute(start))

41
kmath-trajectory/src/commonMain/kotlin/space/kscience/kmath/trajectory/DubinsPose2D.kt
View File

@ -2,35 +2,62 @@
* Copyright 2018-2022 KMath contributors.
* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
*/
@file:UseSerializers(Euclidean2DSpace.VectorSerializer::class)
package space.kscience.kmath.trajectory
import kotlinx.serialization.KSerializer
import kotlinx.serialization.SerialName
import kotlinx.serialization.Serializable
import kotlinx.serialization.UseSerializers
import kotlinx.serialization.descriptors.SerialDescriptor
import kotlinx.serialization.encoding.Decoder
import kotlinx.serialization.encoding.Encoder
import space.kscience.kmath.geometry.DoubleVector2D
import space.kscience.kmath.geometry.Euclidean2DSpace
import space.kscience.kmath.geometry.Vector
import kotlin.math.atan2
/**
* Combination of [Vector] and its view angle (clockwise from positive y-axis direction)
*/
@Serializable(DubinsPose2DSerializer::class)
public interface DubinsPose2D : DoubleVector2D {
public val coordinate: DoubleVector2D
public val coordinates: DoubleVector2D
public val bearing: Double
}
@Serializable
public class PhaseVector2D(
override val coordinate: DoubleVector2D,
override val coordinates: DoubleVector2D,
public val velocity: DoubleVector2D,
) : DubinsPose2D, DoubleVector2D by coordinate {
) : DubinsPose2D, DoubleVector2D by coordinates {
override val bearing: Double get() = atan2(velocity.x, velocity.y)
}
@Serializable
@SerialName("DubinsPose2D")
private class DubinsPose2DImpl(
override val coordinate: DoubleVector2D,
override val coordinates: DoubleVector2D,
override val bearing: Double,
) : DubinsPose2D, DoubleVector2D by coordinate{
) : DubinsPose2D, DoubleVector2D by coordinates{
override fun toString(): String = "Pose2D(x=$x, y=$y, bearing=$bearing)"
override fun toString(): String = "DubinsPose2D(x=$x, y=$y, bearing=$bearing)"
}
public object DubinsPose2DSerializer: KSerializer<DubinsPose2D>{
private val proxySerializer = DubinsPose2DImpl.serializer()
override val descriptor: SerialDescriptor
get() = proxySerializer.descriptor
override fun deserialize(decoder: Decoder): DubinsPose2D {
return decoder.decodeSerializableValue(proxySerializer)
}
override fun serialize(encoder: Encoder, value: DubinsPose2D) {
val pose = value as? DubinsPose2DImpl ?: DubinsPose2DImpl(value.coordinates, value.bearing)
encoder.encodeSerializableValue(proxySerializer, pose)
}
}
public fun DubinsPose2D(coordinate: DoubleVector2D, theta: Double): DubinsPose2D = DubinsPose2DImpl(coordinate, theta)

13
kmath-trajectory/src/commonMain/kotlin/space/kscience/kmath/trajectory/Trajectory2D.kt
View File

@ -2,15 +2,19 @@
* Copyright 2018-2022 KMath contributors.
* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
*/
@file:UseSerializers(Euclidean2DSpace.VectorSerializer::class)
package space.kscience.kmath.trajectory
import kotlinx.serialization.Serializable
import kotlinx.serialization.UseSerializers
import space.kscience.kmath.geometry.Circle2D
import space.kscience.kmath.geometry.DoubleVector2D
import space.kscience.kmath.geometry.Euclidean2DSpace
import space.kscience.kmath.geometry.Euclidean2DSpace.distanceTo
import kotlin.math.PI
import kotlin.math.atan2
@Serializable
public sealed interface Trajectory2D {
public val length: Double
}
@ -18,6 +22,7 @@ public sealed interface Trajectory2D {
/**
* Straight path segment. The order of start and end defines the direction
*/
@Serializable
public data class StraightTrajectory2D(
public val start: DoubleVector2D,
public val end: DoubleVector2D,
@ -30,6 +35,7 @@ public data class StraightTrajectory2D(
/**
* An arc segment
*/
@Serializable
public data class CircleTrajectory2D(
public val circle: Circle2D,
public val start: DubinsPose2D,
@ -102,7 +108,10 @@ public data class CircleTrajectory2D(
}
}
public open class CompositeTrajectory2D(public val segments: List<Trajectory2D>) : Trajectory2D {
@Serializable
public class CompositeTrajectory2D(public val segments: List<Trajectory2D>) : Trajectory2D {
override val length: Double get() = segments.sumOf { it.length }
}
public fun CompositeTrajectory2D(vararg segments: Trajectory2D): CompositeTrajectory2D = CompositeTrajectory2D(segments.toList())

16
kmath-trajectory/src/commonMain/kotlin/space/kscience/kmath/trajectory/route.kt
View File

@ -1,16 +0,0 @@
/*
* Copyright 2018-2022 KMath contributors.
* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
*/
package space.kscience.kmath.trajectory
public fun interface MaxCurvature {
public fun compute(startPoint: PhaseVector2D): Double
}
public fun DubinsPath.Companion.shortest(
start: PhaseVector2D,
end: PhaseVector2D,
maxCurvature: MaxCurvature,
): DubinsPath = shortest(start, end, maxCurvature.compute(start))

34
kmath-trajectory/src/commonTest/kotlin/space/kscience/kmath/trajectory/dubins/DubinsTests.kt
View File

@ -28,31 +28,33 @@ class DubinsTests {
println("Absolute distance: $absoluteDistance")
val expectedLengths = mapOf(
DubinsPath.TYPE.RLR to 13.067681939031397,
DubinsPath.TYPE.RSR to 12.28318530717957,
DubinsPath.TYPE.LSL to 32.84955592153878,
DubinsPath.TYPE.RSL to 23.37758938854081,
DubinsPath.TYPE.LSR to 23.37758938854081
DubinsPath.Type.RLR to 13.067681939031397,
DubinsPath.Type.RSR to 12.28318530717957,
DubinsPath.Type.LSL to 32.84955592153878,
DubinsPath.Type.RSL to 23.37758938854081,
DubinsPath.Type.LSR to 23.37758938854081
)
expectedLengths.forEach {
val path = dubins.find { p -> p.type === it.key }
val path = dubins.find { p -> DubinsPath.trajectoryTypeOf(p) === it.key }
assertNotNull(path, "Path ${it.key} not found")
println("${it.key}: ${path.length}")
assertTrue(it.value.equalFloat(path.length))
assertTrue(start.equalsFloat(path.a.start))
assertTrue(end.equalsFloat(path.c.end))
val a = path.segments[0] as CircleTrajectory2D
val b = path.segments[1]
val c = path.segments[2] as CircleTrajectory2D
assertTrue(start.equalsFloat(a.start))
assertTrue(end.equalsFloat(c.end))
// Not working, theta double precision inaccuracy
if (path.b is CircleTrajectory2D) {
val b = path.b as CircleTrajectory2D
assertTrue(path.a.end.equalsFloat(b.start))
assertTrue(path.c.start.equalsFloat(b.end))
} else if (path.b is StraightTrajectory2D) {
val b = path.b as StraightTrajectory2D
assertTrue(path.a.end.equalsFloat(DubinsPose2D(b.start, b.bearing)))
assertTrue(path.c.start.equalsFloat(DubinsPose2D(b.end, b.bearing)))
if (b is CircleTrajectory2D) {
assertTrue(a.end.equalsFloat(b.start))
assertTrue(c.start.equalsFloat(b.end))
} else if (b is StraightTrajectory2D) {
assertTrue(a.end.equalsFloat(DubinsPose2D(b.start, b.bearing)))
assertTrue(c.start.equalsFloat(DubinsPose2D(b.end, b.bearing)))
}
}
}