ErrorCrit_KGE2 <- function(InputsCrit,OutputsModel, verbose = TRUE){


##Arguments_check________________________________
  if(inherits(InputsCrit,"InputsCrit")==FALSE){ stop("InputsCrit must be of class 'InputsCrit' \n"); return(NULL); }  
  if(inherits(OutputsModel,"OutputsModel")==FALSE){ stop("OutputsModel must be of class 'OutputsModel' \n"); return(NULL); }  


##Initialisation_________________________________
  CritName <- NA;
  if(InputsCrit$transfo==""    ){ CritName <- "KGE'[Q]"      ; }
  if(InputsCrit$transfo=="sqrt"){ CritName <- "KGE'[sqrt(Q)]"; }
  if(InputsCrit$transfo=="log" ){ CritName <- "KGE'[log(Q)]" ; }
  if(InputsCrit$transfo=="inv" ){ CritName <- "KGE'[1/Q]"    ; }
  if(InputsCrit$transfo=="sort"){ CritName <- "KGE'[sort(Q)]"; }
  CritValue       <- NA;
  CritBestValue   <- +1;
  Multiplier      <- -1; ### must be equal to -1 or +1 only


##Data_preparation_______________________________
  VarObs <- InputsCrit$Qobs  ; VarObs[!InputsCrit$BoolCrit] <- NA; 
  VarSim <- OutputsModel$Qsim; VarSim[!InputsCrit$BoolCrit] <- NA;  
  ##Data_transformation
  if("Ind_zeroes" %in% names(InputsCrit) & "epsilon" %in% names(InputsCrit)){ if(length(InputsCrit$Ind_zeroes)>0){
    VarObs <- VarObs + InputsCrit$epsilon;
    VarSim <- VarSim + InputsCrit$epsilon;
  } }
  if(InputsCrit$transfo=="sqrt"){ VarObs <- sqrt(VarObs); VarSim <- sqrt(VarSim); }
  if(InputsCrit$transfo=="log" ){ VarObs <- log(VarObs) ; VarSim <- log(VarSim) ; VarSim[VarSim      < -1E100] <- NA; }
  if(InputsCrit$transfo=="inv" ){ VarObs <- 1/VarObs    ; VarSim <- 1/VarSim    ; VarSim[abs(VarSim) > 1E+100] <- NA; }
  if(InputsCrit$transfo=="sort"){
	VarSim[is.na(VarObs)] <- NA
	VarSim <- sort(VarSim, na.last = TRUE)
	VarObs <- sort(VarObs, na.last = TRUE)
	InputsCrit$BoolCrit <- sort(InputsCrit$BoolCrit, decreasing = TRUE)
  }
  ##TS_ignore
  TS_ignore <- !is.finite(VarObs) | !is.finite(VarSim) | !InputsCrit$BoolCrit ;
  Ind_TS_ignore <- which(TS_ignore); if(length(Ind_TS_ignore)==0){ Ind_TS_ignore <- NULL; }
  if(sum(!TS_ignore)==0){ OutputsCrit <- list(NA); names(OutputsCrit) <- c("CritValue"); return(OutputsCrit); }
  if(sum(!TS_ignore)==1){ OutputsCrit <- list(NA); names(OutputsCrit) <- c("CritValue"); return(OutputsCrit); } ### to avoid a problem in standard deviation computation
  if(inherits(OutputsModel,"hourly" )){ WarningTS <- 365; }
  if(inherits(OutputsModel,"daily"  )){ WarningTS <- 365; }
  if(inherits(OutputsModel,"monthly")){ WarningTS <-  12; }
  if(inherits(OutputsModel,"yearly" )){ WarningTS <-   3; }
  if(sum(!TS_ignore)<WarningTS & verbose){ warning(paste("\t criterion computed on less than ",WarningTS," time-steps \n",sep="")); }
  ##Other_variables_preparation
  meanVarObs <- mean(VarObs[!TS_ignore]);
  meanVarSim <- mean(VarSim[!TS_ignore]);
  iCrit           <- 0;
  SubCritNames    <- NULL;
  SubCritValues   <- NULL;


##SubErrorCrit_____KGE_rPearson__________________
  iCrit <- iCrit+1;
  SubCritNames[iCrit]  <- paste(CritName," rPEARSON(sim vs. obs)",sep="");
  SubCritValues[iCrit] <- NA;
  Numer <- sum( (VarObs[!TS_ignore]-meanVarObs)*(VarSim[!TS_ignore]-meanVarSim) );
  Deno1 <- sqrt( sum((VarObs[!TS_ignore]-meanVarObs)^2) );
  Deno2 <- sqrt( sum((VarSim[!TS_ignore]-meanVarSim)^2) );
  if(Numer==0){ if(Deno1==0 & Deno2==0){ Crit <- 1; } else { Crit <- 0; } 
  } else { Crit  <- Numer/(Deno1*Deno2); }
  if(is.numeric(Crit) & is.finite(Crit)){ SubCritValues[iCrit] <- Crit; }


##SubErrorCrit_____KGE_gama______________________
  iCrit <- iCrit+1;
  SubCritNames[iCrit]  <-  paste(CritName," CVsim/CVobs",sep="");
  SubCritValues[iCrit] <- NA;
  if(meanVarSim==0){ if(sd(VarSim[!TS_ignore])==0){ CVsim <- 1; } else { CVsim <- 99999; } } else { CVsim <- sd(VarSim[!TS_ignore])/meanVarSim; }
  if(meanVarObs==0){ if(sd(VarObs[!TS_ignore])==0){ CVobs <- 1; } else { CVobs <- 99999; } } else { CVobs <- sd(VarObs[!TS_ignore])/meanVarObs; }
  if(CVsim==0 & CVobs==0){ Crit <- 1; } else { Crit <- CVsim/CVobs ; }
  if(is.numeric(Crit) & is.finite(Crit)){ SubCritValues[iCrit] <- Crit; }


##SubErrorCrit_____KGE_beta______________________
  iCrit <- iCrit+1;
  SubCritNames[iCrit]  <-  paste(CritName," MEANsim/MEANobs",sep="");
  SubCritValues[iCrit] <- NA;
  if(meanVarSim==0 & meanVarObs==0){ Crit <- 1; } else { Crit <- meanVarSim/meanVarObs ; }
  if(is.numeric(Crit) & is.finite(Crit)){ SubCritValues[iCrit] <- Crit; }


##ErrorCrit______________________________________
  if(sum(is.na(SubCritValues))==0){
  CritValue <- ( 1 - sqrt( (SubCritValues[1]-1)^2 + (SubCritValues[2]-1)^2 + (SubCritValues[3]-1)^2 ) );
  }


##Output_________________________________________
  OutputsCrit <- list(CritValue,CritName,SubCritValues,SubCritNames,CritBestValue,Multiplier,Ind_TS_ignore);
  names(OutputsCrit) <- c("CritValue","CritName","SubCritValues","SubCritNames","CritBestValue","Multiplier","Ind_notcomputed");
  return(OutputsCrit);

}