using CounterDrone.Core.Algorithms; using CounterDrone.Core.Models; using Xunit; namespace CounterDrone.Core.Tests { public class KinematicsTests { [Fact] public void WindToVector_East_CorrectDirection() { var (x, y, z) = Kinematics.WindToVector(WindDirection.E, 10f); Assert.True(x > 9f, "东风 → X 正方向"); Assert.True(System.Math.Abs(z) < 1f, "东风 → Z 接近 0"); Assert.Equal(0f, y, 3); } [Fact] public void WindToVector_North_CorrectDirection() { var (x, y, z) = Kinematics.WindToVector(WindDirection.N, 10f); Assert.True(System.Math.Abs(x) < 1f); Assert.True(z > 9f, "北风 → Z 正方向"); } [Fact] public void CalculateLaunchAngle_ReturnsValidAngle() { var angle = Kinematics.CalculateLaunchAngle(5000f, 500f, 300f); Assert.True(angle > 0); Assert.True(angle < System.Math.PI / 2); // < 90° } [Fact] public void Parabolic_45Degree_FlatGround_ReachesExpectedRange() { // 标准公式:45° 时射程 R = v²/g float v0 = 300f, g = 9.81f; float expectedR = v0 * v0 / g; float angle45 = (float)(System.Math.PI / 4); float tof = 2f * v0 * (float)System.Math.Sin(angle45) / g; var (x, y, z) = Kinematics.ParabolicPosition(0, 0, 0, angle45, (float)(System.Math.PI / 2), v0, tof); Assert.True(System.Math.Abs(x - expectedR) < 1f, $"X={x:F1} expected={expectedR:F1}"); Assert.True(System.Math.Abs(y) < 1f, $"Y={y:F1} expected=0"); } [Fact] public void Parabolic_45Degree_ApexAtHalfTime() { float v0 = 300f, g = 9.81f; float angle45 = (float)(System.Math.PI / 4); float tof = 2f * v0 * (float)System.Math.Sin(angle45) / g; float halfT = tof / 2f; var (_, y, _) = Kinematics.ParabolicPosition(0, 0, 0, angle45, (float)(System.Math.PI / 2), v0, halfT); float expectedApex = v0 * v0 * (float)System.Math.Sin(angle45) * (float)System.Math.Sin(angle45) / (2f * g); Assert.True(System.Math.Abs(y - expectedApex) < 1f, $"Y apex={y:F1} expected={expectedApex:F1}"); } [Fact] public void CalculateLaunchAngle_45Degree_Returns45ForMaxRange() { // 给定 v=300,最大射程 R=v²/g≈9174,需要角度=45° float v0 = 300f, g = 9.81f; float maxR = v0 * v0 / g; float angle = Kinematics.CalculateLaunchAngle(maxR, v0, 0f); float expected = (float)(System.Math.PI / 4); Assert.True(System.Math.Abs(angle - expected) < 0.01f, $"angle={angle*180/System.Math.PI:F2}° expected=45°"); } [Fact] public void ParabolicShellTime_45Degree_MatchesStandardFormula() { float v0 = 300f, g = 9.81f; float R = v0 * v0 / g; // 最大射程 float time = Kinematics.ParabolicShellTime(R, 0f, v0); float angle45 = (float)(System.Math.PI / 4); float expectedTof = 2f * v0 * (float)System.Math.Sin(angle45) / g; Assert.True(System.Math.Abs(time - expectedTof) < 0.5f, $"time={time:F3} expected={expectedTof:F3}"); } [Fact] public void ParabolicShellTime_MatchesTimeOfFlight() { float R = 5000f, v0 = 800f, H = 500f; float time = Kinematics.ParabolicShellTime(R, H, v0); float angle = Kinematics.CalculateLaunchAngle(R, v0, H); float tof = Kinematics.ParabolicTimeOfFlight(R, angle, v0); Assert.True(System.Math.Abs(time - tof) < 0.5f, $"ParabolicShellTime={time:F3} ParabolicTimeOfFlight={tof:F3}"); } [Fact] public void Parabolic_RealScenario_5000mRange_500mHeight() { // 实际场景:单元(5000,0,50) → 目标(10000,500,0) float dx = 5000f, dz = -50f; float R = (float)System.Math.Sqrt(dx * dx + dz * dz); // ~5000.25 float H = 500f, v0 = 800f; float angle = Kinematics.CalculateLaunchAngle(R, v0, H); float time = Kinematics.ParabolicShellTime(R, H, v0); float azimuth = (float)System.Math.Atan2(dx, dz); var (x, y, z) = Kinematics.ParabolicPosition(5000, 0, 50, angle, azimuth, v0, time); Assert.True(System.Math.Abs(x - 10000) < 10f, $"X={x:F1} 应≈10000"); Assert.True(System.Math.Abs(y - 500) < 10f, $"Y={y:F1} 应≈500"); Assert.True(System.Math.Abs(z - 0) < 10f, $"Z={z:F1} 应≈0"); } [Fact] public void CalculateLaunchAngle_CloseRange_UsesHeightConstraint() { // 近距离,高度约束应主导 var angle = Kinematics.CalculateLaunchAngle(1000f, 300f, 300f); Assert.True(angle > 0.05f, "近距离也有合理发射角"); } [Fact] public void ParabolicPosition_T0_IsAtStart() { var (x, y, z) = Kinematics.ParabolicPosition(0, 0, 0, 0.5f, 0, 500f, 0); Assert.Equal(0f, x, 1); Assert.Equal(0f, y, 1); Assert.Equal(0f, z, 1); } // ═══════════════════════════════════════════════ // 输入验证:非法参数必须抛出异常 // ═══════════════════════════════════════════════ [Fact] public void CalculateLaunchAngle_ThrowsOnInvalidInputs() { Assert.Throws(() => Kinematics.CalculateLaunchAngle(0, 300, 0)); Assert.Throws(() => Kinematics.CalculateLaunchAngle(-1, 300, 0)); Assert.Throws(() => Kinematics.CalculateLaunchAngle(5000, 0, 0)); Assert.Throws(() => Kinematics.CalculateLaunchAngle(5000, -10, 0)); } [Fact] public void CalculateLaunchAngle_ThrowsOnUnreachableTarget() { // 300m/s 初速不可能击中 10000m 外 5000m 高的目标 Assert.Throws(() => Kinematics.CalculateLaunchAngle(10000f, 300f, 5000f)); } [Fact] public void ParabolicShellTime_ThrowsOnInvalidInputs() { Assert.Throws(() => Kinematics.ParabolicShellTime(0, 0, 300)); Assert.Throws(() => Kinematics.ParabolicShellTime(5000, 0, 0)); } [Fact] public void ParabolicShellTime_ThrowsOnUnreachableTarget() { Assert.Throws(() => Kinematics.ParabolicShellTime(10000f, 5000f, 300f)); } [Fact] public void ParabolicTimeOfFlight_ThrowsOnInvalidInputs() { Assert.Throws(() => Kinematics.ParabolicTimeOfFlight(0, 0.5f, 300)); Assert.Throws(() => Kinematics.ParabolicTimeOfFlight(-1, 0.5f, 300)); Assert.Throws(() => Kinematics.ParabolicTimeOfFlight(5000, 0.5f, 0)); Assert.Throws(() => Kinematics.ParabolicTimeOfFlight(5000, 0.5f, -10)); } [Fact] public void ComputeParabolicRange_ThrowsOnInvalidInputs() { Assert.Throws(() => Kinematics.ComputeParabolicRange(0, 0.5f, 0)); Assert.Throws(() => Kinematics.ComputeParabolicRange(-10, 0.5f, 0)); Assert.Throws(() => Kinematics.ComputeParabolicRange(300, (float)(-System.Math.PI / 2), 0)); Assert.Throws(() => Kinematics.ComputeParabolicRange(300, (float)(System.Math.PI / 2), 0)); Assert.Throws(() => Kinematics.ComputeParabolicRange(300, (float)System.Math.PI, 0)); } [Fact] public void ComputeParabolicRange_ThrowsOnUnreachableHeight() { // 300m/s 45° 不可能达到 5000m 高度的目标 float angle45 = (float)(System.Math.PI / 4); Assert.Throws(() => Kinematics.ComputeParabolicRange(300f, angle45, 5000f)); } // ═══════════════════════════════════════════════ // 顶点计算 // ═══════════════════════════════════════════════ [Fact] public void ParabolicApex_45Degree_MatchesStandardFormula() { float v0 = 300f, g = 9.81f; float angle45 = (float)(System.Math.PI / 4); float expectedH = v0 * v0 * (float)System.Math.Sin(angle45) * (float)System.Math.Sin(angle45) / (2f * g); float expectedT = v0 * (float)System.Math.Sin(angle45) / g; var (apexH, apexT) = Kinematics.ParabolicApex(v0, angle45); Assert.True(System.Math.Abs(apexH - expectedH) < 0.1f, $"H={apexH:F2} expected={expectedH:F2}"); Assert.True(System.Math.Abs(apexT - expectedT) < 0.001f, $"T={apexT:F4} expected={expectedT:F4}"); } [Fact] public void ParabolicApex_30Degree_Then_ParabolicPosition_AtApexTime_ReturnsApexHeight() { float v0 = 500f; float angle = 30f * (float)(System.Math.PI / 180f); var (apexH, apexT) = Kinematics.ParabolicApex(v0, angle); // ParabolicPosition 在顶点时刻的高度应 = apexH var (_, y, _) = Kinematics.ParabolicPosition(0, 0, 0, angle, 0, v0, apexT); Assert.True(System.Math.Abs(y - apexH) < 0.1f, $"y={y:F2} apex={apexH:F2}"); } [Fact] public void ParabolicApex_ThrowsOnInvalidInputs() { float angle = 0.5f; Assert.Throws(() => Kinematics.ParabolicApex(0, angle)); Assert.Throws(() => Kinematics.ParabolicApex(-10, angle)); Assert.Throws(() => Kinematics.ParabolicApex(300, (float)(-System.Math.PI / 2))); Assert.Throws(() => Kinematics.ParabolicApex(300, (float)(System.Math.PI / 2))); } // ═══════════════════════════════════════════════ // 正问题:给定初速和发射角 → 计算射程和飞行时间 // ═══════════════════════════════════════════════ [Fact] public void ComputeParabolicRange_FlatGround_MatchesStandardFormula() { // 45° 平地: R = v²/g, T = 2v·sin45°/g float v0 = 300f, g = 9.81f; float angle45 = (float)(System.Math.PI / 4); float expectedR = v0 * v0 / g; float expectedT = 2f * v0 * (float)System.Math.Sin(angle45) / g; var (range, time) = Kinematics.ComputeParabolicRange(v0, angle45, 0f); Assert.True(System.Math.Abs(range - expectedR) < 1f, $"R={range:F1} expected={expectedR:F1}"); Assert.True(System.Math.Abs(time - expectedT) < 0.1f, $"T={time:F3} expected={expectedT:F3}"); } [Fact] public void ComputeParabolicRange_30Degree_FlatGround() { float v0 = 500f, g = 9.81f; float angle30 = (float)(System.Math.PI / 6); // R = v²·sin(2θ)/g, T = 2v·sinθ/g float expectedR = v0 * v0 * (float)System.Math.Sin(2 * angle30) / g; float expectedT = 2f * v0 * (float)System.Math.Sin(angle30) / g; var (range, time) = Kinematics.ComputeParabolicRange(v0, angle30, 0f); Assert.True(System.Math.Abs(range - expectedR) < 1f, $"R={range:F1} expected={expectedR:F1}"); Assert.True(System.Math.Abs(time - expectedT) < 0.1f, $"T={time:F3} expected={expectedT:F3}"); } [Fact] public void ComputeParabolicRange_ElevatedTarget_VerifiableByPosition() { // v₀=800, θ=10°, 目标在发射点上方 500m float v0 = 800f, heightDiff = 500f; float angle = 10f * (float)System.Math.PI / 180f; var (range, time) = Kinematics.ComputeParabolicRange(v0, angle, heightDiff); // 用 ParabolicPosition 验证:在 time 时刻应到达 (range, heightDiff) var (x, y, z) = Kinematics.ParabolicPosition(0, 0, 0, angle, 0, v0, time); // X 方向(azimuth=0 → cos(0) → +Z 方向) // 实际水平距离 = sqrt(x²+z²) = z(因为 azimuth=0) float actualDist = (float)System.Math.Sqrt(x * x + z * z); Assert.True(System.Math.Abs(actualDist - range) < 5f, $"水平距离={actualDist:F1} expected={range:F1}"); Assert.True(System.Math.Abs(y - heightDiff) < 5f, $"高度={y:F1} expected={heightDiff:F1}"); } [Fact] public void ComputeParabolicRange_DepressedTarget_VerifiableByPosition() { // v₀=500, θ=5°, 目标在发射点下方 200m float v0 = 500f, heightDiff = -200f; float angle = 5f * (float)System.Math.PI / 180f; var (range, time) = Kinematics.ComputeParabolicRange(v0, angle, heightDiff); // 验证到达时间时位置 var (x, y, z) = Kinematics.ParabolicPosition(0, 0, 0, angle, 0, v0, time); float actualDist = (float)System.Math.Sqrt(x * x + z * z); Assert.True(System.Math.Abs(actualDist - range) < 5f, $"水平距离={actualDist:F1} expected={range:F1}"); Assert.True(System.Math.Abs(y - heightDiff) < 5f, $"高度={y:F1} expected={heightDiff:F1}"); } [Fact] public void ComputeParabolicRange_5DegreeLongRange() { // v₀=800, θ=5°, 水平射程 float v0 = 800f, g = 9.81f; float angle = 5f * (float)System.Math.PI / 180f; float cosA = (float)System.Math.Cos(angle); float sinA = (float)System.Math.Sin(angle); // 平坦地面: R = v²sin(2θ)/g float expectedR = v0 * v0 * (float)System.Math.Sin(2 * angle) / g; float expectedT = 2f * v0 * sinA / g; var (range, time) = Kinematics.ComputeParabolicRange(v0, angle, 0f); Assert.True(System.Math.Abs(range - expectedR) < 1f); Assert.True(System.Math.Abs(time - expectedT) < 0.1f); } // ═══════════════════════════════════════════════ // 往返验证:正问题 → 逆问题 应还原一致 // ═══════════════════════════════════════════════ [Fact] public void Roundtrip_ComputeRange_Then_CalculateAngle_ReturnsSameAngle() { float v0 = 500f, hDiff = 100f; float originalAngle = 15f * (float)System.Math.PI / 180f; // 正问题:给定角度,计算射程 var (range, _) = Kinematics.ComputeParabolicRange(v0, originalAngle, hDiff); // 逆问题:给定射程,反算角度 float recoveredAngle = Kinematics.CalculateLaunchAngle(range, v0, hDiff); float diffDeg = System.Math.Abs(originalAngle - recoveredAngle) * 180f / (float)System.Math.PI; Assert.True(diffDeg < 0.1f, $"原始={originalAngle * 180 / System.Math.PI:F3}° 还原={recoveredAngle * 180 / System.Math.PI:F3}° 差={diffDeg:F4}°"); } [Fact] public void Roundtrip_CalculateAngle_Then_ComputeRange_ReturnsSameRange() { // 用平地场景:低弹道解在平地也走下行段,往返一致 float R = 5000f, v0 = 300f, hDiff = 0f; float angle = Kinematics.CalculateLaunchAngle(R, v0, hDiff); var (recoveredRange, _) = Kinematics.ComputeParabolicRange(v0, angle, hDiff); Assert.True(System.Math.Abs(recoveredRange - R) < 1f, $"原始 R={R:F1} 还原 R={recoveredRange:F1}"); } [Fact] public void Roundtrip_ElevatedTarget_UsesHighAngleSolution() { // 靶点高于发射点时,低弹道解在上升段命中, // ComputeParabolicRange 取下行段根,因此应选高弹道解才能往返一致 float R = 5000f, v0 = 800f, hDiff = 500f; // 手动取高弹道解(+ 号),而非 CalculateLaunchAngle 的低弹道解 float a = 0.5f * 9.81f * R * R / (v0 * v0); float disc = R * R - 4f * a * (hDiff + a); float tanHigh = (R + (float)System.Math.Sqrt(disc)) / (2f * a); float highAngle = (float)System.Math.Atan(tanHigh); var (recoveredRange, _) = Kinematics.ComputeParabolicRange(v0, highAngle, hDiff); Assert.True(System.Math.Abs(recoveredRange - R) < 5f, $"高弹道: 原始 R={R:F1} 还原 R={recoveredRange:F1}"); } [Fact] public void ComputeParabolicRange_Then_ParabolicPosition_IsOnTrajectory() { // 验证整条轨迹:多时间点采样,确保 ParabolicPosition 与 ComputeParabolicRange 一致 float v0 = 400f; float angle = 25f * (float)System.Math.PI / 180f; float cosA = (float)System.Math.Cos(angle); float sinA = (float)System.Math.Sin(angle); float g = 9.81f; var (totalRange, totalTime) = Kinematics.ComputeParabolicRange(v0, angle, 0f); // 在 10 个等间隔时间点采样 for (int i = 0; i <= 10; i++) { float t = totalTime * i / 10f; var (x, y, z) = Kinematics.ParabolicPosition(0, 0, 0, angle, 0, v0, t); float expectedX = 0; float expectedZ = v0 * cosA * t; float expectedY = v0 * sinA * t - 0.5f * g * t * t; Assert.True(System.Math.Abs(x - expectedX) < 0.1f, $"t={t:F2}: X"); Assert.True(System.Math.Abs(z - expectedZ) < 0.1f, $"t={t:F2}: Z"); Assert.True(System.Math.Abs(y - expectedY) < 0.1f, $"t={t:F2}: Y"); } } [Fact] public void PointInPolygon_Inside_ReturnsTrue() { var vertices = new (float X, float Z)[] { (0, 0), (10, 0), (10, 10), (0, 10) }; Assert.True(Kinematics.PointInPolygon(5, 5, vertices)); } [Fact] public void PointInPolygon_Outside_ReturnsFalse() { var vertices = new (float X, float Z)[] { (0, 0), (10, 0), (10, 10), (0, 10) }; Assert.False(Kinematics.PointInPolygon(20, 5, vertices)); } [Fact] public void PathInSphere_CenterPass_ReturnsFullDiameter() { // 无人机穿过球心: 路径长度 = 2R float len = DamageAssessment.PathInSphere(0, 0, 0, 40, 0, 0, 20, 0, 0, 20); Assert.Equal(40, len, 1); } [Fact] public void PathInSphere_EdgePass_ReturnsCorrectChord() { // 从(0)→(40), 球心(30), R=20: 进入t=0.25(x=10), 段尾在球内(t=1,x=40), 路径=30m float len = DamageAssessment.PathInSphere(0, 0, 0, 40, 0, 0, 30, 0, 0, 20); Assert.True(System.Math.Abs(len - 30f) < 1f, $"len={len:F2}"); } [Fact] public void PathInSphere_Miss_ReturnsZero() { float len = DamageAssessment.PathInSphere(0, 0, 0, 10, 0, 0, 50, 0, 0, 20); Assert.Equal(0, len, 1); } [Fact] public void PathInSphere_PartialEntry_ReturnsCorrectSegment() { // 从球外(0)到球内(20), R=20, 球心(30): 进入点在10, 段长=10 float len = DamageAssessment.PathInSphere(0, 0, 0, 20, 0, 0, 30, 0, 0, 20); Assert.True(System.Math.Abs(len - 10f) < 1f, $"len={len:F2}"); } [Fact] public void PathInSphere_TwoClouds_AccumulatesCorrectly() { // 一段经过两个云: (0→100), 云1(20,R20), 云2(80,R20) float len1 = DamageAssessment.PathInSphere(0, 0, 0, 100, 0, 0, 20, 0, 0, 20); float len2 = DamageAssessment.PathInSphere(0, 0, 0, 100, 0, 0, 80, 0, 0, 20); Assert.True(System.Math.Abs(len1 - 40f) < 1f, $"cloud1 len={len1:F2}"); Assert.True(System.Math.Abs(len2 - 40f) < 1f, $"cloud2 len={len2:F2}"); } [Fact] public void PathInSphere_AdjacentClouds_SumCorrectly() { // 无人机从云1中心(0)到云2中心(40),两云R=20,间距=40(边碰边) // 两个云在段内路径:云1=20m(中心→右边缘), 云2=20m(左边缘→中心) float len1 = DamageAssessment.PathInSphere(0, 0, 0, 40, 0, 0, 0, 0, 0, 20); float len2 = DamageAssessment.PathInSphere(0, 0, 0, 40, 0, 0, 40, 0, 0, 20); float total = len1 + len2; Assert.True(System.Math.Abs(total - 40f) < 1f, $"total={total:F2} (cloud1={len1:F2} + cloud2={len2:F2})"); } } }