//+------------------------------------------------------------------+
//|                                                        Study.mq5 |
//|                                                   Copyright DNG® |
//|                                https://www.mql5.com/ru/users/dng |
//+------------------------------------------------------------------+
#property copyright "Copyright DNG®"
#property link      "https://www.mql5.com/ru/users/dng"
#property version   "1.00"
//+------------------------------------------------------------------+
//|                                                                  |
//+------------------------------------------------------------------+
#define Study
#include "Trajectory.mqh"
//+------------------------------------------------------------------+
//| Input parameters                                                 |
//+------------------------------------------------------------------+
input int                  Iterations     = 1e7;
//+------------------------------------------------------------------+
//|                                                                  |
//+------------------------------------------------------------------+
STrajectory          Buffer[];
CNet                 Value;
//---
float                dError;
datetime             dtStudied;
//---
CBufferFloat         State;
CBufferFloat         *Result;
//+------------------------------------------------------------------+
//| Expert initialization function                                   |
//+------------------------------------------------------------------+
int OnInit()
  {
//---
   ResetLastError();
   if(!LoadTotalBase())
     {
      PrintFormat("Error of load study data: %d", GetLastError());
      return INIT_FAILED;
     }
//--- load models
   float temp;
   if(!Value.Load(FileName + "Val.nnw", temp, temp, temp, dtStudied, true))
     {
      CArrayObj *value = new CArrayObj();
      if(!CreateValueDescriptions(value))
        {
         delete value;
         return INIT_FAILED;
        }
      if(!Value.Create(value))
        {
         delete value;
         return INIT_FAILED;
        }
      delete value;
      //---
     }
//---
   Value.getResults(Result);
   if(Result.Total() != NRewards)
     {
      PrintFormat("The scope of the Value does not match the rewards count (%d <> %d)", NRewards, Result.Total());
      return INIT_FAILED;
     }
//---
   if(!EventChartCustom(ChartID(), 1, 0, 0, "Init"))
     {
      PrintFormat("Error of create study event: %d", GetLastError());
      return INIT_FAILED;
     }
//---
   return(INIT_SUCCEEDED);
  }
//+------------------------------------------------------------------+
//| Expert deinitialization function                                 |
//+------------------------------------------------------------------+
void OnDeinit(const int reason)
  {
//---
   Value.Save(FileName + "Val.nnw", 0, 0, 0, TimeCurrent(), true);
   delete Result;
  }
//+------------------------------------------------------------------+
//| ChartEvent function                                              |
//+------------------------------------------------------------------+
void OnChartEvent(const int id,
                  const long &lparam,
                  const double &dparam,
                  const string &sparam)
  {
//---
   if(id == 1001)
      Train();
  }
//+------------------------------------------------------------------+
//| Train function                                                   |
//+------------------------------------------------------------------+
void Train(void)
  {
   int total_tr = ArraySize(Buffer);
   uint ticks = GetTickCount();
   int check = 0;
//---
   bool StopFlag = false;
   for(int iter = 0; (iter < Iterations && !IsStopped() && !StopFlag); iter ++)
     {
      int tr = (int)((MathRand() / 32767.0) * (total_tr - 1));
      int i = (int)((MathRand() * MathRand() / MathPow(32767, 2)) * (Buffer[tr].Total - 2 * ValueBars));
      if(i < 0)
        {
         iter--;
         continue;
         check++;
         if(check >= total_tr)
            break;
        }
      check = 0;
      //--- History data
      State.AssignArray(Buffer[tr].States[i].state);
      for(int state = 1; state < ValueBars; state++)
         State.AddArray(Buffer[tr].States[i + state].state);
      //--- Study
      if(!Value.feedForward(GetPointer(State),1,true,(CBufferFloat*)NULL))
        {
         PrintFormat("%s -> %d", __FUNCTION__, __LINE__);
         StopFlag = true;
         break;
        }
      vector<float> target, result;
      target.Assign(Buffer[tr].States[i + ValueBars - 1].rewards);
      result.Assign(Buffer[tr].States[i + 2 * ValueBars - 1].rewards);
      target = target - result*MathPow(DiscFactor,ValueBars);
      Value.getResults(result);
      Result.AssignArray(CAGrad(target - result) + result);
      if(!Value.backProp(Result, (CBufferFloat *)NULL, (CBufferFloat *)NULL))
        {
         PrintFormat("%s -> %d", __FUNCTION__, __LINE__);
         StopFlag = true;
         break;
        }
      //---
      if(GetTickCount() - ticks > 500)
        {
         string str = StringFormat("%-15s %5.2f%% -> Error %15.8f\n", "Value", iter * 100.0 / (double)(Iterations), Value.getRecentAverageError());
         Comment(str);
         ticks = GetTickCount();
        }
     }
   Comment("");
//---
   PrintFormat("%s -> %d -> %-15s %10.7f", __FUNCTION__, __LINE__, "Value", Value.getRecentAverageError());
   ExpertRemove();
//---
  }
//+------------------------------------------------------------------+
//|                                                                  |
//+------------------------------------------------------------------+
vector<float> CAGrad(vector<float> &grad)
  {
   matrix<float> GG = grad.Outer(grad);
   GG.ReplaceNan(0);
   if(MathAbs(GG).Sum() == 0)
      return grad;
   float scale = MathSqrt(GG.Diag() + 1.0e-4f).Mean();
   GG = GG / MathPow(scale, 2);
   vector<float> Gg = GG.Mean(1);
   float gg = Gg.Mean();
   vector<float> w = vector<float>::Zeros(grad.Size());
   float c = MathSqrt(gg + 1.0e-4f) * fCAGrad_C;
   vector<float> w_best = w;
   float obj_best = FLT_MAX;
   vector<float> moment = vector<float>::Zeros(w.Size());
   for(int i = 0; i < iCAGrad_Iters; i++)
     {
      vector<float> ww;
      w.Activation(ww, AF_SOFTMAX);
      float obj = ww.Dot(Gg) + c * MathSqrt(ww.MatMul(GG).Dot(ww) + 1.0e-4f);
      if(MathAbs(obj) < obj_best)
        {
         obj_best = MathAbs(obj);
         w_best = w;
        }
      if(i < (iCAGrad_Iters - 1))
        {
         float loss = -obj;
         vector<float> derev = Gg + GG.MatMul(ww) * c / (MathSqrt(ww.MatMul(GG).Dot(ww) + 1.0e-4f) * 2) + ww.MatMul(GG) * c / (MathSqrt(ww.MatMul(GG).Dot(ww) + 1.0e-4f) * 2);
         vector<float> delta = derev * loss;
         ulong size = delta.Size();
         matrix<float> ident = matrix<float>::Identity(size, size);
         vector<float> ones = vector<float>::Ones(size);
         matrix<float> sm_der = ones.Outer(ww);
         sm_der = sm_der.Transpose() * (ident - sm_der);
         delta = sm_der.MatMul(delta);
         if(delta.Ptp() != 0)
            delta = delta / delta.Ptp();
         moment = delta * 0.8f + moment * 0.5f;
         w += moment;
         if(w.Ptp() != 0)
            w = w / w.Ptp();
        }
     }
   w_best.Activation(w, AF_SOFTMAX);
   float gw_norm = MathSqrt(w.MatMul(GG).Dot(w) + 1.0e-4f);
   float lmbda = c / (gw_norm + 1.0e-4f);
   vector<float> result = ((w * lmbda + 1.0f / (float)grad.Size()) * grad) / (1 + MathPow(fCAGrad_C, 2));
//---
   return result;
  }
//+------------------------------------------------------------------+
