0.3.1-dev-11 #510
@ -18,7 +18,11 @@ public data class Circle2D(
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public val radius: Double
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)
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public fun Circle2D.tangentsToCircle(other: Circle2D): kotlin.collections.MutableMap<String, LineSegment<DoubleVector2D>> {
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public enum class DubinsRoutes {
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RSR, RSL, LSR, LSL
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}
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public fun Circle2D.tangentsToCircle(other: Circle2D): Map<DubinsRoutes, LineSegment<DoubleVector2D>> {
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val R1 = this.radius
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val R2 = other.radius
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val line = LineSegment(this.center, other.center)
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@ -26,11 +30,12 @@ public fun Circle2D.tangentsToCircle(other: Circle2D): kotlin.collections.Mutabl
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val angle1 = atan2(other.center.x - this.center.x, other.center.y - this.center.y)
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var r: Double
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var angle2: Double
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val routes = mapOf("RSR" to Pair(R1, R2),
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"RSL" to Pair(R1, -R2),
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"LSR" to Pair(-R1, R2),
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"LSL" to Pair(-R1, -R2))
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val segments = mutableMapOf<String, LineSegment<DoubleVector2D>>()
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val routes = mapOf(
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DubinsRoutes.RSR to Pair(R1, R2),
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DubinsRoutes.RSL to Pair(R1, -R2),
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DubinsRoutes.LSR to Pair(-R1, R2),
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DubinsRoutes.LSL to Pair(-R1, -R2))
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val segments = mutableMapOf<DubinsRoutes, LineSegment<DoubleVector2D>>()
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for ((route, r1r2) in routes) {
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val r1 = r1r2.first
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val r2 = r1r2.second
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@ -85,6 +85,13 @@ public object Euclidean2DSpace : GeometrySpace<DoubleVector2D>,
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override fun scale(a: DoubleVector2D, value: Double): DoubleVector2D = vector(a.x * value, a.y * value)
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override fun DoubleVector2D.dot(other: DoubleVector2D): Double = x * other.x + y * other.y
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public fun equalLineSegments(line1: LineSegment<DoubleVector2D>, line2: LineSegment<DoubleVector2D>): Boolean {
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val maxFloatDelta = 0.000001
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return line1.begin.x.equalFloat(line2.begin.x) && line1.begin.y.equalFloat(line2.begin.y) &&
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line1.end.x.equalFloat(line2.end.x) && line1.end.y.equalFloat(line2.end.y)
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}
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public val xAxis: DoubleVector2D = vector(1.0, 0.0)
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public val yAxis: DoubleVector2D = vector(0.0, 1.0)
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}
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@ -27,12 +27,6 @@ public fun <V : Vector> LineSegment<V>.line(algebra: GeometrySpace<V>): Line<V>
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Line(begin, end - begin)
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}
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public fun equalLineSegments(line1: LineSegment<DoubleVector2D>, line2: LineSegment<DoubleVector2D>): Boolean {
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val maxFloatDelta = 0.000001
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return line1.begin.x.equalFloat(line2.begin.x) && line1.begin.y.equalFloat(line2.begin.y) &&
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line1.end.x.equalFloat(line2.end.x) && line1.end.y.equalFloat(line2.end.y)
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// return line1.begin == line2.begin && line1.end == line2.end
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}
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public fun Double.equalFloat(other: Double, maxFloatDelta: Double = 0.000001):
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Boolean = kotlin.math.abs(this - other) < maxFloatDelta
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@ -1,75 +0,0 @@
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/*
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* Copyright 2018-2023 KMath contributors.
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* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
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*/
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package space.kscience.kmath.geometry
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import kotlin.math.absoluteValue
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import kotlin.math.atan2
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import kotlin.math.pow
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import kotlin.math.sign
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import kotlin.math.sin
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import kotlin.math.cos
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import space.kscience.kmath.geometry.Euclidean2DSpace.vector
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import space.kscience.kmath.geometry.Euclidean2DSpace.scale
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import space.kscience.kmath.geometry.Euclidean2DSpace.add
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import space.kscience.kmath.geometry.Euclidean2DSpace.distanceTo
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//public class Segment(
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// public val startPoint: DoubleVector2D,
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// public val terminalPoint: DoubleVector2D,
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// public val length: Double = startPoint.distanceTo(terminalPoint)
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//) {
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// public override operator fun equals(other: Any?): Boolean {
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// return if (other is Segment) {
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// startPoint.x.equalFloat(other.startPoint.x) && startPoint.y.equalFloat(other.startPoint.y) &&
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// terminalPoint.x.equalFloat(other.terminalPoint.x) && terminalPoint.y.equalFloat(other.terminalPoint.y)
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// } else {
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// false
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// }
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// }
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//}
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//public const val maxFloatDelta: Double = 0.000001
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//public fun Double.equalFloat(other: Double): Boolean = kotlin.math.abs(this - other) < maxFloatDelta
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//public fun tangentsToCircles(
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// startCircle: Circle2D,
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// terminalCircle: Circle2D
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//): kotlin.collections.MutableMap<String, LineSegment<DoubleVector2D>> {
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// val R1 = startCircle.radius
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// val R2 = terminalCircle.radius
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// val line = LineSegment(startCircle.center, terminalCircle.center)
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// val d = line.begin.distanceTo(line.end)
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// val angle1 = atan2(terminalCircle.center.x - startCircle.center.x, terminalCircle.center.y - startCircle.center.y)
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// var r: Double
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// var angle2: Double
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// val routes = mapOf("RSR" to Pair(R1, R2),
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// "RSL" to Pair(R1, -R2),
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// "LSR" to Pair(-R1, R2),
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// "LSL" to Pair(-R1, -R2))
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// val segments = mutableMapOf<String, LineSegment<DoubleVector2D>>()
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// for ((route, r1r2) in routes) {
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// val r1 = r1r2.first
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// val r2 = r1r2.second
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// r = if (r1.sign == r2.sign) {
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// r1.absoluteValue - r2.absoluteValue
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// } else {
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// r1.absoluteValue + r2.absoluteValue
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// }
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// val L = (d * d - r * r).pow(0.5)
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// angle2 = if (r1.absoluteValue > r2.absoluteValue) {
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// angle1 + r1.sign * atan2(r.absoluteValue, L)
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// } else {
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// angle1 - r2.sign * atan2(r.absoluteValue, L)
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// }
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// val W = vector(-cos(angle2), sin(angle2))
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// segments[route] = LineSegment(add(startCircle.center, scale(W, r1)),
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// add(terminalCircle.center, scale(W, r2)))
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// }
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// return segments
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//}
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@ -5,6 +5,7 @@
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package space.kscience.kmath.geometry
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import space.kscience.kmath.geometry.Euclidean2DSpace.equalLineSegments
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import space.kscience.kmath.geometry.Euclidean2DSpace.vector
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import kotlin.test.Test
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import kotlin.test.assertEquals
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@ -15,7 +16,12 @@ class TangentTest {
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fun tangent() {
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val c1 = Circle2D(vector(0.0, 0.0), 1.0)
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val c2 = Circle2D(vector(4.0, 0.0), 1.0)
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val routes = arrayListOf<String>("RSR", "RSL", "LSR", "LSL")
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val routes = arrayListOf<DubinsRoutes>(
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DubinsRoutes.RSR,
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DubinsRoutes.RSL,
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DubinsRoutes.LSR,
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DubinsRoutes.LSL
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)
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val segments = arrayListOf<LineSegment<DoubleVector2D>>(
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LineSegment<DoubleVector2D>(begin = vector(0.0, 1.0),
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end = vector(4.0, 1.0)),
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