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/usr/include/choreonoid-1.1/cnoid/src/Util/RangeLimiter.h is in libcnoid-dev 1.1.0+dfsg-6.1+b4.

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/*! @file
  @author Shin'ichiro Nakaoka
*/

#ifndef CNOID_UTIL_RANGE_LIMITER_H_INCLUDED
#define CNOID_UTIL_RANGE_LIMITER_H_INCLUDED

#include <cmath>
#include <vector>
#include "exportdecl.h"

namespace cnoid {

    class RangeLimiter
    {
    public:
        template <class TArray>
        bool apply(TArray& valueSeq, double upperLimit, double lowerLimit, double limitGrad, double edgeGradRatio = 0.5);
            
    private:
        double uL;
        double lL;
        double r;
            
        struct TSegment {
            int begin;
            int end;
            double upper;
            double lower;
            double uc;
            double lc;
            bool isOver;
        };
            
        std::vector<TSegment> segments;

        CNOID_EXPORT void calcCrossPoint(TSegment* seg);
        CNOID_EXPORT TSegment* mergeSegment(TSegment* seg, TSegment* prevSeg);
            
        template <class TArray>
        TSegment* finalizeSegment(TSegment* seg, int endFrame, TArray& valueSeq);
            
    };

    template <class TArray>
    RangeLimiter::TSegment* RangeLimiter::finalizeSegment
    (RangeLimiter::TSegment* seg, int endFrame, TArray& valueSeq)
    {
        seg->end = endFrame;
        int backFrame = seg->begin - 1;
        TSegment* prevSeg = &segments[segments.size() - 2];
        while(backFrame >= 0){
            if(backFrame < prevSeg->end){
                return mergeSegment(seg, prevSeg);
            }
            double v = valueSeq[backFrame];
            backFrame--;
            if((v < seg->uc) && (v > seg->lc)){
                break;
            }
        }
            
        backFrame++;
        seg->begin = backFrame;
            
        return seg;
    }
        
    template <class TArray>
    bool RangeLimiter::apply
    (TArray& valueSeq, double upperLimit, double lowerLimit, double limitGrad, double edgeGradRatio)
    {
        r = limitGrad;
        uL = upperLimit;
        lL = lowerLimit;
            
        segments.clear();
            
        TSegment dummy;
        dummy.isOver = false;
        dummy.end = -1;
        segments.push_back(dummy);
            
        segments.push_back(TSegment());
            
        TSegment* seg = &segments.back();
            
        seg->begin = 0;
        seg->upper = uL;
        seg->lower = lL;
        seg->isOver = false;
        calcCrossPoint(seg);
            
        int frame = 0;
        int n = valueSeq.size();
            
        while(frame < n){
            double v = valueSeq[frame];
                
            bool isOver = false;
            if(v > seg->upper){
                isOver = true;
                seg->upper = v;
            } else if(v < seg->lower){
                isOver = true;
                seg->lower = v;
            }
                
            if(isOver){
                calcCrossPoint(seg);
                if(!seg->isOver){
                    seg->isOver = true;
                    seg->begin = frame;
                }
            } else if(seg->isOver) {
                if((v < seg->uc) && (v > seg->lc)){
                    TSegment* finalized = finalizeSegment(seg, frame, valueSeq);
                        
                    if(finalized != seg){
                        seg = finalized;
                        continue;
                    } else {
                        TSegment nextSeg;
                        nextSeg.begin = finalized->end;
                        nextSeg.upper = uL;
                        nextSeg.lower = lL;
                        nextSeg.isOver = false;
                        calcCrossPoint(&nextSeg);
                        segments.push_back(nextSeg);
                        seg = &segments.back();
                    }
                }
            }
            frame++;
        }
            
        if(seg->isOver){
            while(true) {
                TSegment* finalized = finalizeSegment(seg, frame, valueSeq);
                if(finalized == seg){
                    break;
                }
                seg = finalized;
            }
        } else {
            segments.pop_back();
        }
            
            
        for(std::size_t i=1; i < segments.size(); i++){
            TSegment& seg = segments[i];
                
            if(seg.isOver){
                    
                double ua, ub;
                if(seg.upper == uL){
                    ua = 0.0;
                    ub = 0.0;
                } else {
                    double k = ((uL - seg.uc) / (seg.upper - seg.uc)) * edgeGradRatio;
                    double u = seg.upper - seg.uc;
                    double l = uL - seg.uc;
                    ub = ((1.0 - k) * u - 3.0 * (u - l)) / (u * u);
                    ua = (-2.0 * u * ub - 1.0 + k) / (3.0 * u * u);
                }
                    
                double la, lb;
                if(seg.lower == lL){
                    la = 0.0;
                    lb = 0.0;
                } else {
                    double k = ((lL - seg.lc) / (seg.lower - seg.lc)) * edgeGradRatio;
                    double u = seg.lower - seg.lc;
                    double l = lL - seg.lc;
                    lb = ((1.0 - k) * u - 3.0 * (u - l)) / (u * u);
                    la = (-2.0 * u * lb - 1.0 + k) / (3.0 * u * u);
                }
                    
                    
                for(int frame=seg.begin; frame < seg.end; frame++){
                    double v = valueSeq[frame];
                    if(v >= seg.uc){
                        double x = v - seg.uc;
                        valueSeq[frame] = ua * x*x*x + ub * x*x + x + seg.uc;
                    } else if(v <= seg.lc){
                        double x = v - seg.lc;
                        valueSeq[frame] = la * x*x*x + lb * x*x + x + seg.lc;
                    }
                }
            }
        }
            
        return true;
    }
}

#endif