Пример #1
0
        internal void CalculateVelocity(Pathfinding.RVO.Simulator.WorkerContext context)
        {

            if (locked)
            {
                newVelocity = Vector2.zero;
                return;
            }

            if (context.vos.Length < neighbours.Count + simulator.obstacles.Count)
            {
                context.vos = new VO[Mathf.Max(context.vos.Length * 2, neighbours.Count + simulator.obstacles.Count)];
            }

            Vector2 position2D = new Vector2(position.x, position.z);

            var vos = context.vos;
            var voCount = 0;

            Vector2 optimalVelocity = new Vector2(velocity.x, velocity.z);

            float inverseAgentTimeHorizon = 1.0f / agentTimeHorizon;

            float wallThickness = simulator.WallThickness;

            float wallWeight = simulator.algorithm == Simulator.SamplingAlgorithm.GradientDecent ? 1 : WallWeight;

            for (int i = 0; i < simulator.obstacles.Count; i++)
            {
                var obstacle = simulator.obstacles[i];
                var vertex = obstacle;
                do
                {

                    if (vertex.ignore || position.y > vertex.position.y + vertex.height || position.y + height < vertex.position.y || (vertex.layer & collidesWith) == 0)
                    {
                        vertex = vertex.next;
                        Debug.Log("continue");
                        continue;
                    }

                    float cross = VO.Det(new Vector2(vertex.position.x, vertex.position.z), vertex.dir, position2D);// vertex.dir.x * ( vertex.position.z - position.z ) - vertex.dir.y * ( vertex.position.x - position.x );

                    // Signed distance from the line (not segment), lines are infinite
                    // Usually divided by vertex.dir.magnitude, but that is known to be 1
                    float signedDist = cross;

                    float dotFactor = Vector2.Dot(vertex.dir, position2D - new Vector2(vertex.position.x, vertex.position.z));

                    // It is closest to the segment
                    // if the dotFactor is <= 0 or >= length of the segment
                    // WallThickness*0.1 is added as a margin to avoid false positives when moving along the edges of square obstacles
                    bool closestIsEndpoints = dotFactor <= wallThickness * 0.05f || dotFactor >= (new Vector2(vertex.position.x, vertex.position.z) - new Vector2(vertex.next.position.x, vertex.next.position.z)).magnitude - wallThickness * 0.05f;

                    if (Mathf.Abs(signedDist) < neighbourDist)
                    {
                        if (signedDist <= 0 && !closestIsEndpoints && signedDist > -wallThickness)
                        {
                            // Inside the wall on the "wrong" side
                            vos[voCount] = new VO(position2D, new Vector2(vertex.position.x, vertex.position.z) - position2D, vertex.dir, wallWeight * 2);
                            voCount++;
                        }
                        else if (signedDist > 0)
                        {
                            //Debug.DrawLine (position, (vertex.position+vertex.next.position)*0.5f, Color.yellow);
                            Vector2 p1 = new Vector2(vertex.position.x, vertex.position.z) - position2D;
                            Vector2 p2 = new Vector2(vertex.next.position.x, vertex.next.position.z) - position2D;
                            Vector2 tang1 = (p1).normalized;
                            Vector2 tang2 = (p2).normalized;
                            vos[voCount] = new VO(position2D, p1, p2, tang1, tang2, wallWeight);
                            voCount++;

                        }
                    }
                    vertex = vertex.next;
                } while (vertex != obstacle);
            }

            for (int o = 0; o < neighbours.Count; o++)
            {

                Agent other = neighbours[o];

                if (other == this) continue;

                float maxY = System.Math.Min(position.y + height, other.position.y + other.height);
                float minY = System.Math.Max(position.y, other.position.y);

                //The agents cannot collide since they
                //are on different y-levels
                if (maxY - minY < 0)
                {
                    continue;
                }

                Vector2 otherOptimalVelocity = new Vector2(other.Velocity.x, other.velocity.z);


                float totalRadius = radius + other.radius;

                // Describes a circle on the border of the VO
                //float boundingRadius = totalRadius * inverseAgentTimeHorizon;
                Vector2 voBoundingOrigin = new Vector2(other.position.x, other.position.z) - position2D;

                //float boundingDist = voBoundingOrigin.magnitude;

                Vector2 relativeVelocity = optimalVelocity - otherOptimalVelocity;

                {
                    //voBoundingOrigin *= inverseAgentTimeHorizon;
                    //boundingDist *= inverseAgentTimeHorizon;

                    // Common case, no collision

                    Vector2 voCenter;
                    if (other.locked)
                    {
                        voCenter = otherOptimalVelocity;
                    }
                    else
                    {
                        voCenter = (optimalVelocity + otherOptimalVelocity) * 0.5f;
                    }

                    vos[voCount] = new VO(voBoundingOrigin, voCenter, totalRadius, relativeVelocity, inverseAgentTimeHorizon, 1);
                    voCount++;
                    if (DebugDraw) DrawVO(position2D + voBoundingOrigin * inverseAgentTimeHorizon + voCenter, totalRadius * inverseAgentTimeHorizon, position2D + voCenter);
                }


            }


            Vector2 result = Vector2.zero;

            if (simulator.algorithm == Simulator.SamplingAlgorithm.GradientDecent)
            {
                if (this.DebugDraw)
                {
                    const int PlotWidth = 40;
                    const float WorldPlotWidth = 15;

                    for (int x = 0; x < PlotWidth; x++)
                    {
                        for (int y = 0; y < PlotWidth; y++)
                        {
                            Vector2 p = new Vector2(x * WorldPlotWidth / PlotWidth, y * WorldPlotWidth / PlotWidth);

                            Vector2 dir = Vector2.zero;
                            float weight = 0;
                            for (int i = 0; i < voCount; i++)
                            {
                                float w = 0;
                                dir += vos[i].Sample(p - position2D, out w);
                                if (w > weight) weight = w;
                            }
                            Vector2 d2 = (new Vector2(desiredVelocity.x, desiredVelocity.z) - (p - position2D));
                            dir += d2 * DesiredVelocityScale;

                            if (d2.magnitude * DesiredVelocityWeight > weight) weight = d2.magnitude * DesiredVelocityWeight;

                            if (weight > 0) dir /= weight;

                            //Vector2 d3 = simulator.SampleDensity (p+position2D);
                            Debug.DrawRay(To3D(p), To3D(d2 * 0.00f), Color.blue);
                            //simulator.Plot (p, Rainbow(weight*simulator.colorScale));

                            float sc = 0;
                            Vector2 p0 = p - Vector2.one * WorldPlotWidth * 0.5f;
                            Vector2 p1 = Trace(vos, voCount, p0, 0.01f, out sc);
                            if ((p0 - p1).sqrMagnitude < Sqr(WorldPlotWidth / PlotWidth) * 2.6f)
                            {
                                Debug.DrawRay(To3D(p1 + position2D), Vector3.up * 1, Color.red);
                            }
                        }
                    }
                }

                //if ( debug ) {
                float best = float.PositiveInfinity;

                float cutoff = new Vector2(velocity.x, velocity.z).magnitude * simulator.qualityCutoff;

                //for ( int i = 0; i < 10; i++ ) {
                {
                    result = Trace(vos, voCount, new Vector2(desiredVelocity.x, desiredVelocity.z), cutoff, out best);
                    if (DebugDraw) DrawCross(result + position2D, Color.yellow, 0.5f);
                }

                // Can be uncommented for higher quality local avoidance
                /*for ( int i = 0; i < 3; i++ ) {
                    Vector2 p = desiredVelocity + new Vector2(Mathf.Cos(Mathf.PI*2*(i/3.0f)), Mathf.Sin(Mathf.PI*2*(i/3.0f)));
                    float score;
                    Vector2 res = Trace ( vos, voCount, p, velocity.magnitude*simulator.qualityCutoff, out score );
					
                    if ( score < best ) {
                        //if ( score < best*0.9f ) Debug.Log ("Better " + score + " < " + best);
                        result = res;
                        best = score;
                    }
                }*/

                {
                    Vector2 p = this.Velocity;
                    float score;
                    Vector2 res = Trace(vos, voCount, p, cutoff, out score);

                    if (score < best)
                    {
                        //if ( score < best*0.9f ) Debug.Log ("Better " + score + " < " + best);
                        result = res;
                        best = score;
                    }
                    if (DebugDraw) DrawCross(res + position2D, Color.magenta, 0.5f);
                }
            }
            else
            {
                // Adaptive sampling

                Vector2[] samplePos = context.samplePos;
                float[] sampleSize = context.sampleSize;
                int samplePosCount = 0;


                Vector2 desired2D = new Vector2(desiredVelocity.x, desiredVelocity.z);
                float sampleScale = Mathf.Max(radius, Mathf.Max(desired2D.magnitude, Velocity.magnitude));
                samplePos[samplePosCount] = desired2D;
                sampleSize[samplePosCount] = sampleScale * 0.3f;
                samplePosCount++;

                const float GridScale = 0.3f;

                // Initial 9 samples
                samplePos[samplePosCount] = optimalVelocity;
                sampleSize[samplePosCount] = sampleScale * GridScale;
                samplePosCount++;

                {
                    Vector2 fw = optimalVelocity * 0.5f;
                    Vector2 rw = new Vector2(fw.y, -fw.x);

                    const int Steps = 8;
                    for (int i = 0; i < Steps; i++)
                    {
                        samplePos[samplePosCount] = rw * Mathf.Sin(i * Mathf.PI * 2 / Steps) + fw * (1 + Mathf.Cos(i * Mathf.PI * 2 / Steps));
                        sampleSize[samplePosCount] = (1.0f - (Mathf.Abs(i - Steps * 0.5f) / Steps)) * sampleScale * 0.5f;
                        samplePosCount++;
                    }

                    const float InnerScale = 0.6f;
                    fw *= InnerScale;
                    rw *= InnerScale;

                    const int Steps2 = 6;
                    for (int i = 0; i < Steps2; i++)
                    {
                        samplePos[samplePosCount] = rw * Mathf.Cos((i + 0.5f) * Mathf.PI * 2 / Steps2) + fw * ((1.0f / InnerScale) + Mathf.Sin((i + 0.5f) * Mathf.PI * 2 / Steps2));
                        sampleSize[samplePosCount] = sampleScale * 0.3f;
                        samplePosCount++;
                    }

                    const float TargetScale = 0.2f;

                    const int Steps3 = 6;
                    for (int i = 0; i < Steps3; i++)
                    {
                        samplePos[samplePosCount] = optimalVelocity + new Vector2(sampleScale * TargetScale * Mathf.Cos((i + 0.5f) * Mathf.PI * 2 / Steps3), sampleScale * TargetScale * Mathf.Sin((i + 0.5f) * Mathf.PI * 2 / Steps3));
                        sampleSize[samplePosCount] = sampleScale * TargetScale * 2;
                        samplePosCount++;
                    }
                }

                samplePos[samplePosCount] = optimalVelocity * 0.5f;
                sampleSize[samplePosCount] = sampleScale * 0.4f;
                samplePosCount++;

                const int KeepCount = Simulator.WorkerContext.KeepCount;
                Vector2[] bestPos = context.bestPos;
                float[] bestSizes = context.bestSizes;
                float[] bestScores = context.bestScores;

                for (int i = 0; i < KeepCount; i++)
                {
                    bestScores[i] = float.PositiveInfinity;
                }
                bestScores[KeepCount] = float.NegativeInfinity;

                Vector2 bestEver = optimalVelocity;
                float bestEverScore = float.PositiveInfinity;

                for (int sub = 0; sub < 3; sub++)
                {

                    for (int i = 0; i < samplePosCount; i++)
                    {

                        float score = 0;
                        for (int vo = 0; vo < voCount; vo++)
                        {
                            score = System.Math.Max(score, vos[vo].ScalarSample(samplePos[i]));
                        }
                        // Note that velocity is a vector and speed is a scalar, not the same thing
                        float bonusForDesiredVelocity = (samplePos[i] - desired2D).magnitude;

                        // This didn't work out as well as I though
                        // Code left here because I might reenable it later
                        //float bonusForDesiredSpeed = Mathf.Abs (samplePos[i].magnitude - desired2D.magnitude);

                        float biasedScore = score + bonusForDesiredVelocity * DesiredVelocityWeight;// + bonusForDesiredSpeed*0;
                        score += bonusForDesiredVelocity * 0.001f;

                        if (DebugDraw)
                        {
                            DrawCross(position2D + samplePos[i], Rainbow(Mathf.Log(score + 1) * 5), sampleSize[i] * 0.5f);
                        }

                        if (biasedScore < bestScores[0])
                        {
                            for (int j = 0; j < KeepCount; j++)
                            {
                                if (biasedScore >= bestScores[j + 1])
                                {
                                    bestScores[j] = biasedScore;
                                    bestSizes[j] = sampleSize[i];
                                    bestPos[j] = samplePos[i];
                                    break;
                                }
                            }
                        }

                        if (score < bestEverScore)
                        {
                            bestEver = samplePos[i];
                            bestEverScore = score;

                            if (score == 0)
                            {
                                sub = 100;
                                break;
                            }
                        }
                    }

                    samplePosCount = 0;

                    for (int i = 0; i < KeepCount; i++)
                    {
                        Vector2 p = bestPos[i];
                        float s = bestSizes[i];
                        bestScores[i] = float.PositiveInfinity;

                        const float Half = 0.6f;

                        float offset = s * Half * 0.5f;

                        samplePos[samplePosCount + 0] = (p + new Vector2(+offset, +offset));
                        samplePos[samplePosCount + 1] = (p + new Vector2(-offset, +offset));
                        samplePos[samplePosCount + 2] = (p + new Vector2(-offset, -offset));
                        samplePos[samplePosCount + 3] = (p + new Vector2(+offset, -offset));

                        s *= s * Half;
                        sampleSize[samplePosCount + 0] = (s);
                        sampleSize[samplePosCount + 1] = (s);
                        sampleSize[samplePosCount + 2] = (s);
                        sampleSize[samplePosCount + 3] = (s);
                        samplePosCount += 4;
                    }
                }

                result = bestEver;
            }


            if (DebugDraw) DrawCross(result + position2D);


            newVelocity = To3D(Vector2.ClampMagnitude(result, maxSpeed));
            if (newVelocity != Vector3.zero)
            {
                float angle = Vector3.Angle(DesiredVelocity, newVelocity);
                //:限制新速度方向
                //如果计算出来的新速度是与设计速度的夹角大于angleMax
                //则新速度旋转到最大夹角
                float angleMax = 45;
                if (angle > angleMax)
                {
                    Vector2 firstObject = new Vector2(DesiredVelocity.x, DesiredVelocity.z);
                    Vector2 secondObject = new Vector2(newVelocity.x, newVelocity.z);
                    float det = firstObject.x * secondObject.y - firstObject.y * secondObject.x;
                    if (det > 0)//param2 is unclockwise
                    {
                        Vector2 verticalObject = secondObject.Rotate(-(angle - angleMax));
                        newVelocity.x = verticalObject.x;
                        newVelocity.z = verticalObject.y;

                        if (newVelocity.magnitude < minSpeed)
                        {
                            newVelocity = newVelocity.normalized * minSpeed;
                        }
                    }
                    else if (det < 0)
                    {
                        Vector2 verticalObject = secondObject.Rotate((angle - angleMax));
                        newVelocity.x = verticalObject.x;
                        newVelocity.z = verticalObject.y;
                        if (newVelocity.magnitude < minSpeed)
                        {
                            newVelocity = newVelocity.normalized * minSpeed;
                        }
                    }
                    else
                    {
                        newVelocity = Vector3.zero;
                    }
                }
                if (printVelocity)
                {
                    Debug.Log("vel " + velocity + "newVelocity " + newVelocity);
                }
            }



        }
Пример #2
0
 public Vector2 RelativeToWorld(Vector2 vector)
 {
     return vector.Rotate(Angle - 90);
 }
Пример #3
0
 public Vector2 WorldToRelative(Vector2 vector)
 {
     return vector.Rotate(-Angle + 90);
 }
Пример #4
0
 int[][][] CreateRotated(int[][] pixels, ref int w, ref int h, int count)
 {
     var pw = w;
     var ph = h;
     var pcx = w / 2;
     var pcy = h / 2;
     w = Mathf.RoundToInt(w * 1.5f / 2) * 2;
     h = Mathf.RoundToInt(h * 1.5f / 2) * 2;
     var cx = w / 2;
     var cy = h / 2;
     var _w = w;
     var _h = h;
     var offset = new Vector2();
     return count.Range().Select(ai =>
     {
         var angle = (float)ai * 360 / count;
         return _h.Range().Select(y =>
         {
             return _w.Range().Select(x =>
             {
                 offset.x = x - cx;
                 offset.y = y - cy;
                 offset = offset.Rotate(angle);
                 var px = Mathf.RoundToInt(offset.x + pcx);
                 var py = Mathf.RoundToInt(offset.y + pcy);
                 if (px < 0 || px >= pw || py < 0 || py >= ph)
                 {
                     return 0;
                 }
                 return pixels[py][px];
             }).ToArray();
         }).ToArray();
     }).ToArray();
 }