How to do a loop to re-calculate the formula in R?

Question

My question is how to use loop(while) to get the final \"Tb\" and \"Theta_T\"?

Tmax = c(35.0,30.0,28.0,25.0,25.5,26.0)
Tmin = c(15.4,15.8,13.2,9.8,9.5,9.4)
X = c         


        

Answer 1

as put in comments :

EDIT

First run your code:

  X = c(0.233,0.233,0.220,0.065,0.138,0.083)
  D = c(12,25,46,41,45,62)
  Ts = 40
  To = 30
  Tbo = 0

  ## calculate Theta_g by Tbo ##

  if (Tbo<Tmin){ 
 Theta_g = (Tmax+Tmin)/2
  } else if (Tbo<Tmax & Tbo>Tmin){
  Theta_g = (Tmax+Tmin)/2+(Tbo-Tmin)^2/2*(Tmax-Tmin)
} else 
Theta_g = Tbo

##calculate Theta_a by Tbo ##
if (To>Tmin & Tmax<Ts){
 Theta_a=(Ts-Tbo)*(Tmax-To)^2/(2*(Ts-To)*(Tmax-Tmin))
 } else if (To>Tmin & Tmax>=Ts){
 Theta_a=(Tmax*(Tmax-2*Tbo)-To*(Ts-Tbo)+Ts*Tbo)/(2*(Ts-To))
   } else if (Tmin>=To & Tmin<Ts & Tmax<Ts){
 Theta_a=(Ts-Tbo)*(Tmax+Tmin-2*To)/(2*(Tmax-Tmin))
    } else if (Tmin>=To & Tmin<Ts & Tmax>Ts){
 Theta_a=(Tmax+Tmin)/2-Tbo-(To-Tbo)*(Ts-Tmin)^2/(2*(Ts-To)*(Tmax-Tmin))
} else 
Theta_a=(Tmax+Tmin)/2-Tbo

 ## Theta_s
 Theta_s = (Theta_g-Theta_a)*D

  ## Linear formular: Theta_s/X=Theta_T+Tb(D/X)
    y = Theta_s/X
    x = D/X

    ##Least square linear regress simulation
    Tb = sum((x-mean(x))*(y-mean(y)))/sum((x-mean(x))^2)
    Theta_T = mean(y)-Tb*mean(x)

Then add the while loop to your code:

 while ((Tb-Tbo)>=0.01) { 

 Tbo=Tb

  ## calculate Theta_g by Tbo ##

  if (Tbo<Tmin){ 
 Theta_g = (Tmax+Tmin)/2
  } else if (Tbo<Tmax & Tbo>Tmin){
  Theta_g = (Tmax+Tmin)/2+(Tbo-Tmin)^2/2*(Tmax-Tmin)
} else 
Theta_g = Tbo

##calculate Theta_a by Tbo ##
if (To>Tmin & Tmax<Ts){
 Theta_a=(Ts-Tbo)*(Tmax-To)^2/(2*(Ts-To)*(Tmax-Tmin))
 } else if (To>Tmin & Tmax>=Ts){
 Theta_a=(Tmax*(Tmax-2*Tbo)-To*(Ts-Tbo)+Ts*Tbo)/(2*(Ts-To))
   } else if (Tmin>=To & Tmin<Ts & Tmax<Ts){
 Theta_a=(Ts-Tbo)*(Tmax+Tmin-2*To)/(2*(Tmax-Tmin))
    } else if (Tmin>=To & Tmin<Ts & Tmax>Ts){
 Theta_a=(Tmax+Tmin)/2-Tbo-(To-Tbo)*(Ts-Tmin)^2/(2*(Ts-To)*(Tmax-Tmin))
} else 
Theta_a=(Tmax+Tmin)/2-Tbo

 ## Theta_s
 Theta_s = (Theta_g-Theta_a)*D

  ## Linear formular: Theta_s/X=Theta_T+Tb(D/X)
    y = Theta_s/X
    x = D/X

    ##Least square linear regress simulation
    Tb = sum((x-mean(x))*(y-mean(y)))/sum((x-mean(x))^2)
    Theta_T = mean(y)-Tb*mean(x)

   }