Refactoring map_demo, add evaluation.h and evaluation.cpp

Signed-off-by: xavier <micaelaverucchi@gmail.com>
This commit is contained in:
xavier
2020-02-07 12:47:02 +01:00
parent f32d8a859b
commit 289a97d06c
3 changed files with 365 additions and 340 deletions
+30 -340
View File
@@ -14,352 +14,50 @@
#include "Yolo3Detection.h"
#include "CenternetDetection.h"
#include "evaluation.h"
#include <map>
struct BoundigBox : public tk::dnn::box
{
friend std::ostream& operator<<(std::ostream& os, const BoundigBox& bb);
int unique_truth_index = -1;
int truth_flag = 0;
float max_IoU = 0;
void clear()
{
unique_truth_index = -1;
truth_flag = 0;
max_IoU = 0;
}
};
bool boxComparison (const BoundigBox& a,const BoundigBox& b)
{
return (a.prob>b.prob);
}
std::ostream& operator<<(std::ostream& os, const BoundigBox& bb)
{
os <<"w: "<< bb.w << ", h: "<< bb.h << ", x: "<< bb.x << ", y: "<< bb.y <<
", cat: "<< bb.cl << ", conf: "<< bb.prob<< ", truth: "<<
bb.truth_flag<< ", assignedGT: "<< bb.unique_truth_index<<
", maxIoU: "<< bb.max_IoU<<"\n";
return os;
}
struct Frame
{
void print() const
{
std::cout<<"labels filename: "<<l_filename<<std::endl;
std::cout<<"image filename: "<<i_filename<<std::endl;
std::cout<<"GT: "<<std::endl;
for(auto g: gt) std::cout<<g;
std::cout<<"DET: "<<std::endl;
for(auto d: det) std::cout<<d;
}
std::string l_filename;
std::string i_filename;
std::vector<BoundigBox> gt;
std::vector<BoundigBox> det;
};
void convertFilename(std::string &filename,const std::string l_folder, const std::string i_folder, const std::string l_ext,const std::string i_ext)
{
filename.replace(filename.find(l_folder),l_folder.length(),i_folder);
filename.replace(filename.find(l_ext),l_ext.length(),i_ext);
}
float overlap(float x1, float w1, float x2, float w2)
{
float l1 = x1 - w1/2;
float l2 = x2 - w2/2;
float left = l1 > l2 ? l1 : l2;
float r1 = x1 + w1/2;
float r2 = x2 + w2/2;
float right = r1 < r2 ? r1 : r2;
return right - left;
}
float boxIntersection(const BoundigBox &a, const BoundigBox &b)
{
float w = overlap(a.x, a.w, b.x, b.w);
float h = overlap(a.y, a.h, b.y, b.h);
if(w < 0 || h < 0)
return 0;
float area = w*h;
return area;
}
float boxUnion(const BoundigBox &a, const BoundigBox &b)
{
float i = boxIntersection(a, b);
float u = a.w*a.h + b.w*b.h - i;
return u;
}
float boxIoU(const BoundigBox &a, const BoundigBox &b)
{
float I = boxIntersection(a, b);
// std::cout<<"I: "<<I<<std::endl;
float U = boxUnion(a, b);
// std::cout<<"U: "<<U<<std::endl;
if (I == 0 || U == 0)
return 0;
return I / U;
}
struct PR
{
double precision = 0;
double recall = 0;
int tp = 0, fp = 0, fn = 0;
void print()
{
std::cout<<"precision: "<<precision<<" recall: "<<recall<<" tp: "<<tp<<" fp:"<<fp<<" fn:"<<fn<<std::endl;
}
};
double computeMap(std::vector<Frame> &images,const int classes,const float IoU_thresh, const int map_points, const bool verbose=false)
{
std::cout<<"Computing mAP"<<std::endl;
if(verbose)
for(auto img:images)
img.print();
int detections_count = 0;
int groundtruths_count = 0;
int unique_truth_count = 0;
std::vector<int> truth_classes_count(classes,0);
std::vector<int> dets_classes_count(classes,0);
// std::vector<int> avg_iou_per_class(classes,0);
// std::vector<int> tp_for_thresh_per_class(classes,0);
// std::vector<int> fp_for_thresh_per_class(classes,0);
//count groundtruth and detections in total and for each class
for(auto i:images)
{
for(auto gt:i.gt)
truth_classes_count[gt.cl]++;
for(auto det:i.det)
dets_classes_count[det.cl]++;
detections_count += i.det.size();
groundtruths_count += i.gt.size();
}
std::cout<<"gt_count: "<<groundtruths_count<<std::endl;
std::cout<<"det_count: "<<detections_count<<std::endl;
std::vector<BoundigBox> all_dets;
std::vector<BoundigBox> all_gts;
int gt_checked = 0;
// for each detection comput IoU with groundtruth and match detetcion and
// groundtruth with IoU greater than IoU_thresh
for(auto &img:images)
{
for(size_t i=0; i<img.det.size(); i++)
{
if(img.det[i].prob > 0)
{
float maxIoU = 0;
int truth_index = -1;
for(size_t j=0; j<img.gt.size(); j++)
{
float currentIoU = boxIoU(img.det[i], img.gt[j]);
if(currentIoU > maxIoU && img.det[i].cl == img.gt[j].cl)
{
maxIoU = currentIoU;
truth_index = j;
}
}
// std::cout<<"det i:"<<i<<" maxIoU:"<<maxIoU<<" tIndex:"<<truth_index<<std::endl;
if(truth_index > -1 && maxIoU > IoU_thresh)
{
// std::cout<<"(INSIDE) IoU thresh:"<<IoU_thresh<<" maxIoU:"<<maxIoU<<" maxIoU > IoU_thresh:"<<(maxIoU > IoU_thresh)<<std::endl;
img.det[i].unique_truth_index = truth_index + gt_checked;
img.det[i].truth_flag = 1;
img.det[i].max_IoU = maxIoU;
}
}
all_dets.push_back(img.det[i]);
}
gt_checked += img.gt.size();
}
if(verbose)
{
for(auto img:images)
img.print();
std::cout<<"\n\n\n\n";
}
//sort all detections by descending value of confidence
std::sort(all_dets.begin(), all_dets.end(), boxComparison);
std::vector<int> truth_flags(groundtruths_count,0);
if(verbose)
for(auto d:all_dets)
std::cout<<d;
//compute precision-recall curve
std::vector<std::vector<PR>> pr( classes, std::vector<PR>(detections_count));
for(int rank = 0; rank< detections_count; ++rank)
{
if (rank > 0)
{
for (int class_id = 0; class_id < classes; ++class_id)
{
pr[class_id][rank].tp = pr[class_id][rank - 1].tp;
pr[class_id][rank].fp = pr[class_id][rank - 1].fp;
}
}
//if it was detected and never detected before
if (all_dets[rank].truth_flag == 1 && truth_flags[all_dets[rank].unique_truth_index] == 0)
{
truth_flags[all_dets[rank].unique_truth_index] = 1;
pr[all_dets[rank].cl][rank].tp++; // true-positive
}
else
{
pr[all_dets[rank].cl][rank].fp++; // false-positive
}
for (int i = 0; i < classes; ++i)
{
const int tp = pr[i][rank].tp;
const int fp = pr[i][rank].fp;
const int fn = truth_classes_count[i] - tp; // false-negative = objects - true-positive
pr[i][rank].fn = fn;
if ((tp + fp) > 0)
pr[i][rank].precision = (double)tp / (double)(tp + fp);
else
pr[i][rank].precision = 0;
if ((tp + fn) > 0)
pr[i][rank].recall = (double)tp / (double)(tp + fn);
else
pr[i][rank].recall = 0;
if (rank == (detections_count - 1) && dets_classes_count[i] != (tp + fp))
{ // check for last rank
printf(" class_id: %d - detections = %d, tp+fp = %d, tp = %d, fp = %d \n", i, dets_classes_count[i], tp+fp, tp, fp);
}
}
}
if(verbose)
{
for(int i=0; i < pr.size(); i++)
{
std::cout<<"---------Class "<<i<<std::endl;
for(auto r:pr[i])
r.print();
}
}
//compute average precision for each class. Two methods are avaible,
//based on map_points required
double mean_average_precision = 0;
double last_recall, last_precision, delta_recall;
double cur_recall, cur_precision;
double avg_precision = 0;
for (int i = 0; i < classes; ++i)
{
avg_precision = 0;
if (map_points == 0) //mAP calculation: ImageNet, PascalVOC 2010-2012
{
last_recall = pr[i][detections_count - 1].recall;
last_precision = pr[i][detections_count - 1].precision;
for (int rank = detections_count - 2; rank >= 0; --rank)
{
delta_recall = last_recall - pr[i][rank].recall;
last_recall = pr[i][rank].recall;
if (pr[i][rank].precision > last_precision)
last_precision = pr[i][rank].precision;
avg_precision += delta_recall * last_precision;
}
}
else //MSCOCO - 101 Recall-points, PascalVOC - 11 Recall-points
{
for (int point = 0; point < map_points; ++point) {
cur_recall = point * 1.0 / ( map_points - 1 );
cur_precision = 0;
for (int rank = 0; rank < detections_count; ++rank)
if (pr[i][rank].recall >= cur_recall && pr[i][rank].precision > cur_precision)
cur_precision = pr[i][rank].precision;
avg_precision += cur_precision;
}
avg_precision = avg_precision / map_points;
}
std::cout<<"Class: "<<i<<" AP: "<< avg_precision<<std::endl;
mean_average_precision += avg_precision;
}
mean_average_precision = mean_average_precision / classes;
std::cout<<"Classes: "<<classes<<" mAP " <<IoU_thresh<<": "<< mean_average_precision<<std::endl;
return mean_average_precision;
}
enum networkType_t { YOLO, CENTERNET};
int main(int argc, char *argv[])
{
// char *net = "resnet101_cnet_FP32.rt";
char *net = "yolo3.rt";
if(argc > 1)
net = argv[1];
char type = 'y';
char ntype = 'y';
if(argc > 2)
type = argv[2][0];
ntype = argv[2][0];
//path to txt file with all realpath of images labels
char *labels_path = "/media/887E650E7E64F67A/val2017/all_labels2017.txt";
if(argc > 3)
labels_path = argv[3];
networkType_t ntype;
switch(type)
{
case 'y':
ntype = YOLO;
break;
case 'c':
ntype = CENTERNET;
break;
default:
FatalError("type not allowed (3rd parameter)");
}
bool show = false;
bool write_dets = false;
tk::dnn::Yolo3Detection yolo;
tk::dnn::CenternetDetection cnet;
switch(ntype)
{
case YOLO:
case 'y':
yolo.init(net);
break;
case CENTERNET:
case 'c':
cnet.init(net);
break;
default:
FatalError("Network type not allowed ");
FatalError("Network type not allowed (3rd parameter)\n");
}
std::ifstream all_labels(labels_path);
std::string l_filename;
std::vector<Frame> images;
@@ -372,14 +70,14 @@ int main(int argc, char *argv[])
std::vector<tk::dnn::box> detected_bbox;
int i=0;
while (std::getline(all_labels, l_filename)) // && i < 1000)
while (std::getline(all_labels, l_filename) && i < 1000)
{
std::cout <<COL_ORANGEB<< "Images done:\t" << i++ << "\n"<<COL_END;
Frame f;
f.l_filename = l_filename;
f.i_filename = l_filename;
convertFilename(f.i_filename, "labels", "images", ".txt", ".jpg");
std::cout << f.i_filename << std::endl;
std::cout << "images done:" << i++ << "\n";
// generate detections
cv::Mat frame = cv::imread(f.i_filename.c_str(), cv::IMREAD_COLOR);
@@ -391,33 +89,32 @@ int main(int argc, char *argv[])
break;
dnn_input = frame.clone();
//inference
//inference
detected_bbox.clear();
switch(ntype)
{
case YOLO:
case 'y':
yolo.update(dnn_input);
detected_bbox = yolo.detected;
break;
case CENTERNET:
case 'c':
cnet.update(dnn_input);
detected_bbox = cnet.detected;
break;
default:
FatalError("Network type not allowed ");
FatalError("Network type not allowed!\n");
}
std::ofstream myfile;
if(write_dets)
myfile.open ("det/"+f.l_filename.substr(l_filename.find("000")));
// std::ofstream myfile;
// myfile.open ("det/"+f.l_filename.substr(l_filename.find("000")));
// save detections labels
for(auto d:detected_bbox)
{
//convert detected bb in the same format as label
//<x_center>/<image_width> <y_center>/<image_width> <width>/<image_width> <height>/<image_width>
BoundigBox b;
BoundingBox b;
b.x = (d.x + d.w/2) / width;
b.y = (d.y + d.h/2) / height;
b.w = d.w / width;
@@ -426,20 +123,22 @@ int main(int argc, char *argv[])
b.cl = d.cl;
f.det.push_back(b);
// myfile << d.cl << " "<< d.prob << " "<< d.x << " "<< d.y << " "<< d.w << " "<< d.h <<"\n";
if(write_dets)
myfile << d.cl << " "<< d.prob << " "<< d.x << " "<< d.y << " "<< d.w << " "<< d.h <<"\n";
if(show)// draw rectangle for detection
cv::rectangle(frame, cv::Point(d.x, d.y), cv::Point(d.x + d.w, d.y + d.h), cv::Scalar(0, 0, 255), 2);
}
// myfile.close();
if(write_dets)
myfile.close();
// read and save groundtruth labels
std::ifstream labels(l_filename);
for(std::string line; std::getline(labels, line); )
{
std::istringstream in(line);
BoundigBox b;
BoundingBox b;
in >> b.cl >> b.x >> b.y >> b.w >> b.h;
b.prob = 1;
b.truth_flag = 1;
@@ -461,23 +160,14 @@ int main(int argc, char *argv[])
std::cout<<"Done."<<std::endl;
int classes = 80;
int map_points = 0;
int map_points = 101;
int map_levels = 10;
float map_step = 0.05;
float IoU_thresh = 0.5;
bool verbose = false;
double AP = 0;
for(int i=0; i<map_levels; ++i)
{
for(auto& img:images)
for(auto & d:img.det)
d.clear();
AP += computeMap(images,classes,IoU_thresh,map_points, verbose);
IoU_thresh +=map_step;
}
AP/=map_levels;
std::cout<<"mAP "<<IoU_thresh-map_step*map_levels<<":"<<IoU_thresh<<" = "<<AP<<std::endl;
double AP = computeMapNIoULevels(images,classes,IoU_thresh, map_points, map_step, map_levels, verbose);
std::cout<<"mAP "<<IoU_thresh<<":"<<IoU_thresh+map_step*(map_levels-1)<<" = "<<AP<<std::endl;
return 0;
+51
View File
@@ -0,0 +1,51 @@
#ifndef EVALUATION_H
#define EVALUATION_H_H
#include <iostream>
#include <vector>
#include <algorithm>
#include "tkdnn.h"
struct BoundingBox : public tk::dnn::box
{
friend std::ostream& operator<<(std::ostream& os, const BoundingBox& bb);
int unique_truth_index = -1;
int truth_flag = 0;
float max_IoU = 0;
void clear();
};
std::ostream& operator<<(std::ostream& os, const BoundingBox& bb);
bool boxComparison (const BoundingBox& a,const BoundingBox& b) ;
struct Frame
{
std::string l_filename;
std::string i_filename;
std::vector<BoundingBox> gt;
std::vector<BoundingBox> det;
void print() const;
};
struct PR
{
double precision = 0;
double recall = 0;
int tp = 0, fp = 0, fn = 0;
void print();
};
float overlap(float x1, float w1, float x2, float w2);
float boxIntersection(const BoundingBox &a, const BoundingBox &b);
float boxUnion(const BoundingBox &a, const BoundingBox &b);
float boxIoU(const BoundingBox &a, const BoundingBox &b);
double computeMap(std::vector<Frame> &images,const int classes,const float IoU_thresh, const int map_points, const bool verbose=false);
double computeMapNIoULevels(std::vector<Frame> &images,const int classes,const float i_IoU_thresh=0.5, const int map_points=101, const float map_step=0.05, const int map_levels=10, const bool verbose=false);
#endif /*EVALUATION_H*/
+284
View File
@@ -0,0 +1,284 @@
#include "evaluation.h"
void BoundingBox::clear()
{
unique_truth_index = -1;
truth_flag = 0;
max_IoU = 0;
}
bool boxComparison (const BoundingBox& a,const BoundingBox& b)
{
return (a.prob>b.prob);
}
std::ostream& operator<<(std::ostream& os, const BoundingBox& bb)
{
os <<"w: "<< bb.w << ", h: "<< bb.h << ", x: "<< bb.x << ", y: "<< bb.y <<
", cat: "<< bb.cl << ", conf: "<< bb.prob<< ", truth: "<<
bb.truth_flag<< ", assignedGT: "<< bb.unique_truth_index<<
", maxIoU: "<< bb.max_IoU<<"\n";
return os;
}
void Frame::print() const
{
std::cout<<"labels filename: "<<l_filename<<std::endl;
std::cout<<"image filename: "<<i_filename<<std::endl;
std::cout<<"GT: "<<std::endl;
for(auto g: gt) std::cout<<g;
std::cout<<"DET: "<<std::endl;
for(auto d: det) std::cout<<d;
}
void PR::print()
{
std::cout<<"precision: "<<precision<<" recall: "<<recall<<" tp: "<<tp<<" fp:"<<fp<<" fn:"<<fn<<std::endl;
}
float overlap(float x1, float w1, float x2, float w2)
{
float l1 = x1 - w1/2;
float l2 = x2 - w2/2;
float left = l1 > l2 ? l1 : l2;
float r1 = x1 + w1/2;
float r2 = x2 + w2/2;
float right = r1 < r2 ? r1 : r2;
return right - left;
}
float boxIntersection(const BoundingBox &a, const BoundingBox &b)
{
float w = overlap(a.x, a.w, b.x, b.w);
float h = overlap(a.y, a.h, b.y, b.h);
if(w < 0 || h < 0)
return 0;
float area = w*h;
return area;
}
float boxUnion(const BoundingBox &a, const BoundingBox &b)
{
float i = boxIntersection(a, b);
float u = a.w*a.h + b.w*b.h - i;
return u;
}
float boxIoU(const BoundingBox &a, const BoundingBox &b)
{
float I = boxIntersection(a, b);
// std::cout<<"I: "<<I<<std::endl;
float U = boxUnion(a, b);
// std::cout<<"U: "<<U<<std::endl;
if (I == 0 || U == 0)
return 0;
return I / U;
}
/* Credits to https://github.com/AlexeyAB/darknet/blob/master/src/detector.c*/
double computeMap(std::vector<Frame> &images,const int classes,const float IoU_thresh, const int map_points, const bool verbose)
{
std::cout<<"Computing mAP"<<std::endl;
if(verbose)
for(auto img:images)
img.print();
int detections_count = 0;
int groundtruths_count = 0;
int unique_truth_count = 0;
std::vector<int> truth_classes_count(classes,0);
std::vector<int> dets_classes_count(classes,0);
//count groundtruth and detections in total and for each class
for(auto i:images)
{
for(auto gt:i.gt)
truth_classes_count[gt.cl]++;
for(auto det:i.det)
dets_classes_count[det.cl]++;
detections_count += i.det.size();
groundtruths_count += i.gt.size();
}
std::cout<<"gt_count: "<<groundtruths_count<<std::endl;
std::cout<<"det_count: "<<detections_count<<std::endl;
std::vector<BoundingBox> all_dets;
std::vector<BoundingBox> all_gts;
int gt_checked = 0;
// for each detection comput IoU with groundtruth and match detetcion and
// groundtruth with IoU greater than IoU_thresh
for(auto &img:images)
{
for(size_t i=0; i<img.det.size(); i++)
{
if(img.det[i].prob > 0)
{
float maxIoU = 0;
int truth_index = -1;
for(size_t j=0; j<img.gt.size(); j++)
{
float currentIoU = boxIoU(img.det[i], img.gt[j]);
if(currentIoU > maxIoU && img.det[i].cl == img.gt[j].cl)
{
maxIoU = currentIoU;
truth_index = j;
}
}
// std::cout<<"det i:"<<i<<" maxIoU:"<<maxIoU<<" tIndex:"<<truth_index<<std::endl;
if(truth_index > -1 && maxIoU > IoU_thresh)
{
// std::cout<<"(INSIDE) IoU thresh:"<<IoU_thresh<<" maxIoU:"<<maxIoU<<" maxIoU > IoU_thresh:"<<(maxIoU > IoU_thresh)<<std::endl;
img.det[i].unique_truth_index = truth_index + gt_checked;
img.det[i].truth_flag = 1;
img.det[i].max_IoU = maxIoU;
}
}
all_dets.push_back(img.det[i]);
}
gt_checked += img.gt.size();
}
if(verbose)
{
for(auto img:images)
img.print();
std::cout<<"\n\n\n\n";
}
//sort all detections by descending value of confidence
std::sort(all_dets.begin(), all_dets.end(), boxComparison);
std::vector<int> truth_flags(groundtruths_count,0);
if(verbose)
for(auto d:all_dets)
std::cout<<d;
//compute precision-recall curve
std::vector<std::vector<PR>> pr( classes, std::vector<PR>(detections_count));
for(int rank = 0; rank< detections_count; ++rank)
{
if (rank > 0)
{
for (int class_id = 0; class_id < classes; ++class_id)
{
pr[class_id][rank].tp = pr[class_id][rank - 1].tp;
pr[class_id][rank].fp = pr[class_id][rank - 1].fp;
}
}
//if it was detected and never detected before
if (all_dets[rank].truth_flag == 1 && truth_flags[all_dets[rank].unique_truth_index] == 0)
{
truth_flags[all_dets[rank].unique_truth_index] = 1;
pr[all_dets[rank].cl][rank].tp++; // true-positive
}
else
{
pr[all_dets[rank].cl][rank].fp++; // false-positive
}
for (int i = 0; i < classes; ++i)
{
const int tp = pr[i][rank].tp;
const int fp = pr[i][rank].fp;
const int fn = truth_classes_count[i] - tp; // false-negative = objects - true-positive
pr[i][rank].fn = fn;
if ((tp + fp) > 0)
pr[i][rank].precision = (double)tp / (double)(tp + fp);
else
pr[i][rank].precision = 0;
if ((tp + fn) > 0)
pr[i][rank].recall = (double)tp / (double)(tp + fn);
else
pr[i][rank].recall = 0;
if (rank == (detections_count - 1) && dets_classes_count[i] != (tp + fp))
{ // check for last rank
printf(" class_id: %d - detections = %d, tp+fp = %d, tp = %d, fp = %d \n", i, dets_classes_count[i], tp+fp, tp, fp);
}
}
}
if(verbose)
{
for(int i=0; i < pr.size(); i++)
{
std::cout<<"---------Class "<<i<<std::endl;
for(auto r:pr[i])
r.print();
}
}
//compute average precision for each class. Two methods are avaible,
//based on map_points required
double mean_average_precision = 0;
double last_recall, last_precision, delta_recall;
double cur_recall, cur_precision;
double avg_precision = 0;
for (int i = 0; i < classes; ++i)
{
avg_precision = 0;
if (map_points == 0) //mAP calculation: ImageNet, PascalVOC 2010-2012
{
last_recall = pr[i][detections_count - 1].recall;
last_precision = pr[i][detections_count - 1].precision;
for (int rank = detections_count - 2; rank >= 0; --rank)
{
delta_recall = last_recall - pr[i][rank].recall;
last_recall = pr[i][rank].recall;
if (pr[i][rank].precision > last_precision)
last_precision = pr[i][rank].precision;
avg_precision += delta_recall * last_precision;
}
}
else //MSCOCO - 101 Recall-points, PascalVOC - 11 Recall-points
{
for (int point = 0; point < map_points; ++point) {
cur_recall = point * 1.0 / ( map_points - 1 );
cur_precision = 0;
for (int rank = 0; rank < detections_count; ++rank)
if (pr[i][rank].recall >= cur_recall && pr[i][rank].precision > cur_precision)
cur_precision = pr[i][rank].precision;
avg_precision += cur_precision;
}
avg_precision = avg_precision / map_points;
}
std::cout<<"Class: "<<i<<" AP: "<< avg_precision<<std::endl;
mean_average_precision += avg_precision;
}
mean_average_precision = mean_average_precision / classes;
std::cout<<"Classes: "<<classes<<" mAP " <<IoU_thresh<<": "<< mean_average_precision<<std::endl;
return mean_average_precision;
}
double computeMapNIoULevels(std::vector<Frame> &images,const int classes,const float i_IoU_thresh, const int map_points, const float map_step, const int map_levels, const bool verbose)
{
double AP = 0;
float IoU_thresh = i_IoU_thresh;
for(int i=0; i<map_levels; ++i)
{
for(auto& img:images)
for(auto & d:img.det)
d.clear();
AP += computeMap(images,classes,IoU_thresh,map_points, verbose);
IoU_thresh +=map_step;
}
AP/=map_levels;
return AP;
}