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diff --git a/thirdparty/rvo2/rvo2_2d/Agent2d.cpp b/thirdparty/rvo2/rvo2_2d/Agent2d.cpp
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-/*
- * Agent2d.cpp
- * RVO2 Library
- *
- * Copyright 2008 University of North Carolina at Chapel Hill
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- *
- * Please send all bug reports to <geom@cs.unc.edu>.
- *
- * The authors may be contacted via:
- *
- * Jur van den Berg, Stephen J. Guy, Jamie Snape, Ming C. Lin, Dinesh Manocha
- * Dept. of Computer Science
- * 201 S. Columbia St.
- * Frederick P. Brooks, Jr. Computer Science Bldg.
- * Chapel Hill, N.C. 27599-3175
- * United States of America
- *
- * <http://gamma.cs.unc.edu/RVO2/>
- */
-
-#include "Agent2d.h"
-
-#include "KdTree2d.h"
-#include "Obstacle2d.h"
-
-namespace RVO2D {
- Agent2D::Agent2D() : maxNeighbors_(0), maxSpeed_(0.0f), neighborDist_(0.0f), radius_(0.0f), timeHorizon_(0.0f), timeHorizonObst_(0.0f), id_(0) { }
-
- void Agent2D::computeNeighbors(RVOSimulator2D *sim_)
- {
- obstacleNeighbors_.clear();
- float rangeSq = sqr(timeHorizonObst_ * maxSpeed_ + radius_);
- sim_->kdTree_->computeObstacleNeighbors(this, rangeSq);
-
- agentNeighbors_.clear();
-
- if (maxNeighbors_ > 0) {
- rangeSq = sqr(neighborDist_);
- sim_->kdTree_->computeAgentNeighbors(this, rangeSq);
- }
- }
-
- /* Search for the best new velocity. */
- void Agent2D::computeNewVelocity(RVOSimulator2D *sim_)
- {
- orcaLines_.clear();
-
- const float invTimeHorizonObst = 1.0f / timeHorizonObst_;
-
- /* Create obstacle ORCA lines. */
- for (size_t i = 0; i < obstacleNeighbors_.size(); ++i) {
-
- const Obstacle2D *obstacle1 = obstacleNeighbors_[i].second;
- const Obstacle2D *obstacle2 = obstacle1->nextObstacle_;
-
- const Vector2 relativePosition1 = obstacle1->point_ - position_;
- const Vector2 relativePosition2 = obstacle2->point_ - position_;
-
- /*
- * Check if velocity obstacle of obstacle is already taken care of by
- * previously constructed obstacle ORCA lines.
- */
- bool alreadyCovered = false;
-
- for (size_t j = 0; j < orcaLines_.size(); ++j) {
- if (det(invTimeHorizonObst * relativePosition1 - orcaLines_[j].point, orcaLines_[j].direction) - invTimeHorizonObst * radius_ >= -RVO_EPSILON && det(invTimeHorizonObst * relativePosition2 - orcaLines_[j].point, orcaLines_[j].direction) - invTimeHorizonObst * radius_ >= -RVO_EPSILON) {
- alreadyCovered = true;
- break;
- }
- }
-
- if (alreadyCovered) {
- continue;
- }
-
- /* Not yet covered. Check for collisions. */
-
- const float distSq1 = absSq(relativePosition1);
- const float distSq2 = absSq(relativePosition2);
-
- const float radiusSq = sqr(radius_);
-
- const Vector2 obstacleVector = obstacle2->point_ - obstacle1->point_;
- const float s = (-relativePosition1 * obstacleVector) / absSq(obstacleVector);
- const float distSqLine = absSq(-relativePosition1 - s * obstacleVector);
-
- Line line;
-
- if (s < 0.0f && distSq1 <= radiusSq) {
- /* Collision with left vertex. Ignore if non-convex. */
- if (obstacle1->isConvex_) {
- line.point = Vector2(0.0f, 0.0f);
- line.direction = normalize(Vector2(-relativePosition1.y(), relativePosition1.x()));
- orcaLines_.push_back(line);
- }
-
- continue;
- }
- else if (s > 1.0f && distSq2 <= radiusSq) {
- /* Collision with right vertex. Ignore if non-convex
- * or if it will be taken care of by neighoring obstace */
- if (obstacle2->isConvex_ && det(relativePosition2, obstacle2->unitDir_) >= 0.0f) {
- line.point = Vector2(0.0f, 0.0f);
- line.direction = normalize(Vector2(-relativePosition2.y(), relativePosition2.x()));
- orcaLines_.push_back(line);
- }
-
- continue;
- }
- else if (s >= 0.0f && s < 1.0f && distSqLine <= radiusSq) {
- /* Collision with obstacle segment. */
- line.point = Vector2(0.0f, 0.0f);
- line.direction = -obstacle1->unitDir_;
- orcaLines_.push_back(line);
- continue;
- }
-
- /*
- * No collision.
- * Compute legs. When obliquely viewed, both legs can come from a single
- * vertex. Legs extend cut-off line when nonconvex vertex.
- */
-
- Vector2 leftLegDirection, rightLegDirection;
-
- if (s < 0.0f && distSqLine <= radiusSq) {
- /*
- * Obstacle viewed obliquely so that left vertex
- * defines velocity obstacle.
- */
- if (!obstacle1->isConvex_) {
- /* Ignore obstacle. */
- continue;
- }
-
- obstacle2 = obstacle1;
-
- const float leg1 = std::sqrt(distSq1 - radiusSq);
- leftLegDirection = Vector2(relativePosition1.x() * leg1 - relativePosition1.y() * radius_, relativePosition1.x() * radius_ + relativePosition1.y() * leg1) / distSq1;
- rightLegDirection = Vector2(relativePosition1.x() * leg1 + relativePosition1.y() * radius_, -relativePosition1.x() * radius_ + relativePosition1.y() * leg1) / distSq1;
- }
- else if (s > 1.0f && distSqLine <= radiusSq) {
- /*
- * Obstacle viewed obliquely so that
- * right vertex defines velocity obstacle.
- */
- if (!obstacle2->isConvex_) {
- /* Ignore obstacle. */
- continue;
- }
-
- obstacle1 = obstacle2;
-
- const float leg2 = std::sqrt(distSq2 - radiusSq);
- leftLegDirection = Vector2(relativePosition2.x() * leg2 - relativePosition2.y() * radius_, relativePosition2.x() * radius_ + relativePosition2.y() * leg2) / distSq2;
- rightLegDirection = Vector2(relativePosition2.x() * leg2 + relativePosition2.y() * radius_, -relativePosition2.x() * radius_ + relativePosition2.y() * leg2) / distSq2;
- }
- else {
- /* Usual situation. */
- if (obstacle1->isConvex_) {
- const float leg1 = std::sqrt(distSq1 - radiusSq);
- leftLegDirection = Vector2(relativePosition1.x() * leg1 - relativePosition1.y() * radius_, relativePosition1.x() * radius_ + relativePosition1.y() * leg1) / distSq1;
- }
- else {
- /* Left vertex non-convex; left leg extends cut-off line. */
- leftLegDirection = -obstacle1->unitDir_;
- }
-
- if (obstacle2->isConvex_) {
- const float leg2 = std::sqrt(distSq2 - radiusSq);
- rightLegDirection = Vector2(relativePosition2.x() * leg2 + relativePosition2.y() * radius_, -relativePosition2.x() * radius_ + relativePosition2.y() * leg2) / distSq2;
- }
- else {
- /* Right vertex non-convex; right leg extends cut-off line. */
- rightLegDirection = obstacle1->unitDir_;
- }
- }
-
- /*
- * Legs can never point into neighboring edge when convex vertex,
- * take cutoff-line of neighboring edge instead. If velocity projected on
- * "foreign" leg, no constraint is added.
- */
-
- const Obstacle2D *const leftNeighbor = obstacle1->prevObstacle_;
-
- bool isLeftLegForeign = false;
- bool isRightLegForeign = false;
-
- if (obstacle1->isConvex_ && det(leftLegDirection, -leftNeighbor->unitDir_) >= 0.0f) {
- /* Left leg points into obstacle. */
- leftLegDirection = -leftNeighbor->unitDir_;
- isLeftLegForeign = true;
- }
-
- if (obstacle2->isConvex_ && det(rightLegDirection, obstacle2->unitDir_) <= 0.0f) {
- /* Right leg points into obstacle. */
- rightLegDirection = obstacle2->unitDir_;
- isRightLegForeign = true;
- }
-
- /* Compute cut-off centers. */
- const Vector2 leftCutoff = invTimeHorizonObst * (obstacle1->point_ - position_);
- const Vector2 rightCutoff = invTimeHorizonObst * (obstacle2->point_ - position_);
- const Vector2 cutoffVec = rightCutoff - leftCutoff;
-
- /* Project current velocity on velocity obstacle. */
-
- /* Check if current velocity is projected on cutoff circles. */
- const float t = (obstacle1 == obstacle2 ? 0.5f : ((velocity_ - leftCutoff) * cutoffVec) / absSq(cutoffVec));
- const float tLeft = ((velocity_ - leftCutoff) * leftLegDirection);
- const float tRight = ((velocity_ - rightCutoff) * rightLegDirection);
-
- if ((t < 0.0f && tLeft < 0.0f) || (obstacle1 == obstacle2 && tLeft < 0.0f && tRight < 0.0f)) {
- /* Project on left cut-off circle. */
- const Vector2 unitW = normalize(velocity_ - leftCutoff);
-
- line.direction = Vector2(unitW.y(), -unitW.x());
- line.point = leftCutoff + radius_ * invTimeHorizonObst * unitW;
- orcaLines_.push_back(line);
- continue;
- }
- else if (t > 1.0f && tRight < 0.0f) {
- /* Project on right cut-off circle. */
- const Vector2 unitW = normalize(velocity_ - rightCutoff);
-
- line.direction = Vector2(unitW.y(), -unitW.x());
- line.point = rightCutoff + radius_ * invTimeHorizonObst * unitW;
- orcaLines_.push_back(line);
- continue;
- }
-
- /*
- * Project on left leg, right leg, or cut-off line, whichever is closest
- * to velocity.
- */
- const float distSqCutoff = ((t < 0.0f || t > 1.0f || obstacle1 == obstacle2) ? std::numeric_limits<float>::infinity() : absSq(velocity_ - (leftCutoff + t * cutoffVec)));
- const float distSqLeft = ((tLeft < 0.0f) ? std::numeric_limits<float>::infinity() : absSq(velocity_ - (leftCutoff + tLeft * leftLegDirection)));
- const float distSqRight = ((tRight < 0.0f) ? std::numeric_limits<float>::infinity() : absSq(velocity_ - (rightCutoff + tRight * rightLegDirection)));
-
- if (distSqCutoff <= distSqLeft && distSqCutoff <= distSqRight) {
- /* Project on cut-off line. */
- line.direction = -obstacle1->unitDir_;
- line.point = leftCutoff + radius_ * invTimeHorizonObst * Vector2(-line.direction.y(), line.direction.x());
- orcaLines_.push_back(line);
- continue;
- }
- else if (distSqLeft <= distSqRight) {
- /* Project on left leg. */
- if (isLeftLegForeign) {
- continue;
- }
-
- line.direction = leftLegDirection;
- line.point = leftCutoff + radius_ * invTimeHorizonObst * Vector2(-line.direction.y(), line.direction.x());
- orcaLines_.push_back(line);
- continue;
- }
- else {
- /* Project on right leg. */
- if (isRightLegForeign) {
- continue;
- }
-
- line.direction = -rightLegDirection;
- line.point = rightCutoff + radius_ * invTimeHorizonObst * Vector2(-line.direction.y(), line.direction.x());
- orcaLines_.push_back(line);
- continue;
- }
- }
-
- const size_t numObstLines = orcaLines_.size();
-
- const float invTimeHorizon = 1.0f / timeHorizon_;
-
- /* Create agent ORCA lines. */
- for (size_t i = 0; i < agentNeighbors_.size(); ++i) {
- const Agent2D *const other = agentNeighbors_[i].second;
-
- //const float timeHorizon_mod = (avoidance_priority_ - other->avoidance_priority_ + 1.0f) * 0.5f;
- //const float invTimeHorizon = (1.0f / timeHorizon_) * timeHorizon_mod;
-
- const Vector2 relativePosition = other->position_ - position_;
- const Vector2 relativeVelocity = velocity_ - other->velocity_;
- const float distSq = absSq(relativePosition);
- const float combinedRadius = radius_ + other->radius_;
- const float combinedRadiusSq = sqr(combinedRadius);
-
- Line line;
- Vector2 u;
-
- if (distSq > combinedRadiusSq) {
- /* No collision. */
- const Vector2 w = relativeVelocity - invTimeHorizon * relativePosition;
- /* Vector from cutoff center to relative velocity. */
- const float wLengthSq = absSq(w);
-
- const float dotProduct1 = w * relativePosition;
-
- if (dotProduct1 < 0.0f && sqr(dotProduct1) > combinedRadiusSq * wLengthSq) {
- /* Project on cut-off circle. */
- const float wLength = std::sqrt(wLengthSq);
- const Vector2 unitW = w / wLength;
-
- line.direction = Vector2(unitW.y(), -unitW.x());
- u = (combinedRadius * invTimeHorizon - wLength) * unitW;
- }
- else {
- /* Project on legs. */
- const float leg = std::sqrt(distSq - combinedRadiusSq);
-
- if (det(relativePosition, w) > 0.0f) {
- /* Project on left leg. */
- line.direction = Vector2(relativePosition.x() * leg - relativePosition.y() * combinedRadius, relativePosition.x() * combinedRadius + relativePosition.y() * leg) / distSq;
- }
- else {
- /* Project on right leg. */
- line.direction = -Vector2(relativePosition.x() * leg + relativePosition.y() * combinedRadius, -relativePosition.x() * combinedRadius + relativePosition.y() * leg) / distSq;
- }
-
- const float dotProduct2 = relativeVelocity * line.direction;
-
- u = dotProduct2 * line.direction - relativeVelocity;
- }
- }
- else {
- /* Collision. Project on cut-off circle of time timeStep. */
- const float invTimeStep = 1.0f / sim_->timeStep_;
-
- /* Vector from cutoff center to relative velocity. */
- const Vector2 w = relativeVelocity - invTimeStep * relativePosition;
-
- const float wLength = abs(w);
- const Vector2 unitW = w / wLength;
-
- line.direction = Vector2(unitW.y(), -unitW.x());
- u = (combinedRadius * invTimeStep - wLength) * unitW;
- }
-
- line.point = velocity_ + 0.5f * u;
- orcaLines_.push_back(line);
- }
-
- size_t lineFail = linearProgram2(orcaLines_, maxSpeed_, prefVelocity_, false, newVelocity_);
-
- if (lineFail < orcaLines_.size()) {
- linearProgram3(orcaLines_, numObstLines, lineFail, maxSpeed_, newVelocity_);
- }
- }
-
- void Agent2D::insertAgentNeighbor(const Agent2D *agent, float &rangeSq)
- {
- // no point processing same agent
- if (this == agent) {
- return;
- }
- // ignore other agent if layers/mask bitmasks have no matching bit
- if ((avoidance_mask_ & agent->avoidance_layers_) == 0) {
- return;
- }
- // ignore other agent if this agent is below or above
- if ((elevation_ > agent->elevation_ + agent->height_) || (elevation_ + height_ < agent->elevation_)) {
- return;
- }
-
- if (avoidance_priority_ > agent->avoidance_priority_) {
- return;
- }
-
- const float distSq = absSq(position_ - agent->position_);
-
- if (distSq < rangeSq) {
- if (agentNeighbors_.size() < maxNeighbors_) {
- agentNeighbors_.push_back(std::make_pair(distSq, agent));
- }
-
- size_t i = agentNeighbors_.size() - 1;
-
- while (i != 0 && distSq < agentNeighbors_[i - 1].first) {
- agentNeighbors_[i] = agentNeighbors_[i - 1];
- --i;
- }
-
- agentNeighbors_[i] = std::make_pair(distSq, agent);
-
- if (agentNeighbors_.size() == maxNeighbors_) {
- rangeSq = agentNeighbors_.back().first;
- }
- }
- }
-
- void Agent2D::insertObstacleNeighbor(const Obstacle2D *obstacle, float rangeSq)
- {
- const Obstacle2D *const nextObstacle = obstacle->nextObstacle_;
-
- // ignore obstacle if no matching layer/mask
- if ((avoidance_mask_ & nextObstacle->avoidance_layers_) == 0) {
- return;
- }
- // ignore obstacle if below or above
- if ((elevation_ > obstacle->elevation_ + obstacle->height_) || (elevation_ + height_ < obstacle->elevation_)) {
- return;
- }
-
- const float distSq = distSqPointLineSegment(obstacle->point_, nextObstacle->point_, position_);
-
- if (distSq < rangeSq) {
- obstacleNeighbors_.push_back(std::make_pair(distSq, obstacle));
-
- size_t i = obstacleNeighbors_.size() - 1;
-
- while (i != 0 && distSq < obstacleNeighbors_[i - 1].first) {
- obstacleNeighbors_[i] = obstacleNeighbors_[i - 1];
- --i;
- }
-
- obstacleNeighbors_[i] = std::make_pair(distSq, obstacle);
- }
- //}
- }
-
- void Agent2D::update(RVOSimulator2D *sim_)
- {
- velocity_ = newVelocity_;
- position_ += velocity_ * sim_->timeStep_;
- }
-
- bool linearProgram1(const std::vector<Line> &lines, size_t lineNo, float radius, const Vector2 &optVelocity, bool directionOpt, Vector2 &result)
- {
- const float dotProduct = lines[lineNo].point * lines[lineNo].direction;
- const float discriminant = sqr(dotProduct) + sqr(radius) - absSq(lines[lineNo].point);
-
- if (discriminant < 0.0f) {
- /* Max speed circle fully invalidates line lineNo. */
- return false;
- }
-
- const float sqrtDiscriminant = std::sqrt(discriminant);
- float tLeft = -dotProduct - sqrtDiscriminant;
- float tRight = -dotProduct + sqrtDiscriminant;
-
- for (size_t i = 0; i < lineNo; ++i) {
- const float denominator = det(lines[lineNo].direction, lines[i].direction);
- const float numerator = det(lines[i].direction, lines[lineNo].point - lines[i].point);
-
- if (std::fabs(denominator) <= RVO_EPSILON) {
- /* Lines lineNo and i are (almost) parallel. */
- if (numerator < 0.0f) {
- return false;
- }
- else {
- continue;
- }
- }
-
- const float t = numerator / denominator;
-
- if (denominator >= 0.0f) {
- /* Line i bounds line lineNo on the right. */
- tRight = std::min(tRight, t);
- }
- else {
- /* Line i bounds line lineNo on the left. */
- tLeft = std::max(tLeft, t);
- }
-
- if (tLeft > tRight) {
- return false;
- }
- }
-
- if (directionOpt) {
- /* Optimize direction. */
- if (optVelocity * lines[lineNo].direction > 0.0f) {
- /* Take right extreme. */
- result = lines[lineNo].point + tRight * lines[lineNo].direction;
- }
- else {
- /* Take left extreme. */
- result = lines[lineNo].point + tLeft * lines[lineNo].direction;
- }
- }
- else {
- /* Optimize closest point. */
- const float t = lines[lineNo].direction * (optVelocity - lines[lineNo].point);
-
- if (t < tLeft) {
- result = lines[lineNo].point + tLeft * lines[lineNo].direction;
- }
- else if (t > tRight) {
- result = lines[lineNo].point + tRight * lines[lineNo].direction;
- }
- else {
- result = lines[lineNo].point + t * lines[lineNo].direction;
- }
- }
-
- return true;
- }
-
- size_t linearProgram2(const std::vector<Line> &lines, float radius, const Vector2 &optVelocity, bool directionOpt, Vector2 &result)
- {
- if (directionOpt) {
- /*
- * Optimize direction. Note that the optimization velocity is of unit
- * length in this case.
- */
- result = optVelocity * radius;
- }
- else if (absSq(optVelocity) > sqr(radius)) {
- /* Optimize closest point and outside circle. */
- result = normalize(optVelocity) * radius;
- }
- else {
- /* Optimize closest point and inside circle. */
- result = optVelocity;
- }
-
- for (size_t i = 0; i < lines.size(); ++i) {
- if (det(lines[i].direction, lines[i].point - result) > 0.0f) {
- /* Result does not satisfy constraint i. Compute new optimal result. */
- const Vector2 tempResult = result;
-
- if (!linearProgram1(lines, i, radius, optVelocity, directionOpt, result)) {
- result = tempResult;
- return i;
- }
- }
- }
-
- return lines.size();
- }
-
- void linearProgram3(const std::vector<Line> &lines, size_t numObstLines, size_t beginLine, float radius, Vector2 &result)
- {
- float distance = 0.0f;
-
- for (size_t i = beginLine; i < lines.size(); ++i) {
- if (det(lines[i].direction, lines[i].point - result) > distance) {
- /* Result does not satisfy constraint of line i. */
- std::vector<Line> projLines(lines.begin(), lines.begin() + static_cast<ptrdiff_t>(numObstLines));
-
- for (size_t j = numObstLines; j < i; ++j) {
- Line line;
-
- float determinant = det(lines[i].direction, lines[j].direction);
-
- if (std::fabs(determinant) <= RVO_EPSILON) {
- /* Line i and line j are parallel. */
- if (lines[i].direction * lines[j].direction > 0.0f) {
- /* Line i and line j point in the same direction. */
- continue;
- }
- else {
- /* Line i and line j point in opposite direction. */
- line.point = 0.5f * (lines[i].point + lines[j].point);
- }
- }
- else {
- line.point = lines[i].point + (det(lines[j].direction, lines[i].point - lines[j].point) / determinant) * lines[i].direction;
- }
-
- line.direction = normalize(lines[j].direction - lines[i].direction);
- projLines.push_back(line);
- }
-
- const Vector2 tempResult = result;
-
- if (linearProgram2(projLines, radius, Vector2(-lines[i].direction.y(), lines[i].direction.x()), true, result) < projLines.size()) {
- /* This should in principle not happen. The result is by definition
- * already in the feasible region of this linear program. If it fails,
- * it is due to small floating point error, and the current result is
- * kept.
- */
- result = tempResult;
- }
-
- distance = det(lines[i].direction, lines[i].point - result);
- }
- }
- }
-}