unit Fil_XYZ_PLOH; interface{-------------------------------------------------------------} const Nx=40; {net nodes amount on X axe} Ny=40; {net nodes amount on Y axe} Nk=150; Mr=Nx+1; Mz=Ny+1; Mk=Nk+1; sdStop=2e-6; {stop value for relative deviation} rlc=13; {real output digits amount} STau=0.9; {value for relaxation parameter} El_potential=1; {Volts} l=5e-3; {m} dz=0.5; {step,mm} gamma0=0; gamma1=1e-5; {--Skin--} gamma2=0.1; {--Subcutaneous fat--} gamma3=1; {--m--} gamma4=1e-7; {--k--} gamma5=1e-6; {--n--} gamma6=1e-2; {--pora-Protein--} gamma7=5e-3; {--Nervous cells--} gamma10=6e7; {electrode} type U_Matrix = array[1..Mr,1..Mz,1..Mk] of single; GammaArray = array[1..Mr,1..Mz,1..Mk] of single; var tau : double; {relaxation parameter} num : integer; u, u1 : U_Matrix; {auxillary parameters while computing} sr, sz, tau1, upredict, hr, hz, hk : double; gamma : GammaArray; {deviation sum control parameters} sd, sdp, sab, sad, sadMax, sabMax : double; procedure SetParameters; procedure Compute; procedure Current; implementation{--------------------------------------------------------} procedure SetParameters; var i, j, k : word; begin {----------------------Set parameters----------------------} tau:=STau; {auxillary parameters while computing:} tau1:=1-tau; {deviation sum control parameters} sd:=1e+9; sadMax:=Mr*Mz*Mk; sabMax:=2*(Mz+Mr+Mk); for i:=1 to Mr do for j:=1 to Mz do for k:=1 to Mk do begin {----------------------gamma----------------------} gamma[i,j,k]:=gamma0; if ((((i-21)*(i-21)+(j-21)*(j-21))<=225)and(k<=133)or (((i-21)*(i-21)+(j-21)*(j-21)+(k-133)*(k-133))<=225)) then gamma[i,j,k]:=gamma1; if ((((i-21)*(i-21)+(j-21)*(j-21))<196)and(k<=133)or (((i-21)*(i-21)+(j-21)*(j-21)+(k-133)*(k-133))<196)) then gamma[i,j,k]:=gamma2; if ((((i-21)*(i-21)+(j-21)*(j-21))<=144)and(k<=133)or (((i-21)*(i-21)+(j-21)*(j-21)+(k-133)*(k-133))<144)) then gamma[i,j,k]:=gamma3; if ((((i-21)*(i-21)+(j-21)*(j-21))<=64)and(k<=133)or (((i-21)*(i-21)+(j-21)*(j-21)+(k-133)*(k-133))<64)) then gamma[i,j,k]:=gamma4; if ((((i-21)*(i-21)+(j-21)*(j-21))<=225)and(i<20)and(((j-21)*(j-21)+(k-137)*(k-137))<=36) and(((i-21)*(i-21)+(j-21)*(j-21))>169)) then gamma[i,j,k]:=gamma5; if ((((i-21)*(i-21)+(j-21)*(j-21))>225)and(k>40)and(k<60)and(((i-21)*(i-21)+(j-21)*(j-21))<=400)) or ((((i-20)*(i-20)+(j-20)*(j-20))>225)and(k>115)and(k<=125)and(i>=7)and(i<17)and(j<20)and(((i-20)*(i-20)+(j-20)*(j-20))<=256)) then gamma[i,j,k]:=gamma10; end; end;{----------------------Set parameters----------------------} procedure FreeBoundary; var i, j, k : integer; begin {-----------------------FreeBoundary----------------------} for i:=2 to Mr-1 do for j:=2 to Mz-1 do begin upredict:=(U[i+1,j,1] + U[i-1,j,1] + U[i,j+1,1] + U[i,j-1,1] + U[i,j,2])/5; u1[i,j,1]:=u[i,j,1]*(1-tau)+tau*upredict; sab:=sab+abs(upredict-u[i,j,1]); end; for i:=1 to Mr do for j:=1 to Mz do for k:=1 to Mk do begin u1[1,j,k]:=0; u1[Mr,j,k]:=0; u1[i,1,k]:=0; u1[i,Mz,k]:=0; u1[i,j,Mk]:=0; if ((((i-21)*(i-21)+(j-21)*(j-21))>=225)and(k>40)and(k<60)and(((i-21)*(i-21)+(j-21)*(j-21))<=256)) then u1[i,j,k]:=0.52; if ((((i-21)*(i-21)+(j-21)*(j-21))>=225)and(k>115)and(k<=125)and(i>=7)and(i<17)and(j<21)and(((i-21)*(i-21)+(j-21)*(j-21))<=256)) then u1[i,j,k]:=-0.8; end; end;{------------------------FreeBoundary----------------------} Procedure Current; var Ji,Ji2, C, Cd, Cur , Cur2: single; i, j, k : integer; begin{--------------------Current Computing-------------------} Cd:=0; for i:=1 to Mr do for j:=1 to Mz do for k:=1 to Mk do if ((((i-21)*(i-21)+(j-21)*(j-21))>=225)and(k>115)and(k<=125)and(i>=7)and(i<17)and(j<21)and(((i-21)*(i-21)+(j-21)*(j-21))<=256)) then begin Ji:=gamma1*(u[i+1,j+1,k]-u[i,j,k])/(1*0.5e-3); Cd:=Cd+Ji; end; Cur:=Cd*pi*sqr(5e-3)/4; write({Cd,}'Iact=',Cur); readln; Cd:=0; for i:=1 to Mr do for j:=1 to Mz do for k:=1 to Mk do if ((((i-21)*(i-21)+(j-21)*(j-21))>=225)and(k>40)and(k<60)and(((i-21)*(i-21)+(j-21)*(j-21))<=256)) then begin if (i<=21)and(j<=21) then Ji2:=gamma1*(u[i+1,j+1,k]-u[i,j,k])/(1*0.5e-3) else if (i>21)and(j<=21) then Ji2:=gamma1*(u[i-1,j+1,k]-u[i,j,k])/(1*0.5e-3) else if (i<=21)and(j>21) then Ji2:=gamma1*(u[i+1,j-1,k]-u[i,j,k])/(1*0.5e-3) else if (i>21)and(j>21) then Ji2:=gamma1*(u[i-1,j-1,k]-u[i,j,k])/(1*0.5e-3); Cd:=Cd+Ji2; end; Cur2:=Cd*pi*2e-2*1e-2; write({Cd,}'Ipas',Cur2); readln; end;{---------------------Current Computing--------------------} procedure Compute; var IterNum, i, j, k : integer; begin IterNum:=0; {---------------------computation itself---------------------} while IterNum<1000{sd>sdStop} do begin {-----main loop-----} {sdp:=sd;} sad:=0; sab:=0; for i:=2 to Mr-1 do {-----inner points scanning-----} for j:=2 to Mz-1 do for k:=2 to Mk-1 do begin if gamma[i,j,k]<>gamma[i-1,j,k] then upredict:=( gamma[i-1,j,k] * U[i-1,j,k] + gamma[i,j,k] * U[i+1,j,k] ) / ( gamma[i-1,j,k] + gamma[i,j,k] ) else if gamma[i+1,j,k]<>gamma[i,j,k] then upredict:=( gamma[i,j,k] * U[i-1,j,k] + gamma[i+1,j,k] * U[i+1,j,k] ) / ( gamma[i+1,j,k] + gamma[i,j,k] ) else if gamma[i,j,k]<>gamma[i,j-1,k] then upredict:=( gamma[i,j-1,k] * U[i,j-1,k] + gamma[i,j,k] * U[i,j+1,k] ) / ( gamma[i,j-1,k] + gamma[i,j,k] ) else if gamma[i,j+1,k]<>gamma[i,j,k] then upredict:=( gamma[i,j,k] * U[i,j-1,k] + gamma[i,j+1,k] * U[i,j+1,k] ) / ( gamma[i,j+1,k] + gamma[i,j,k] ) else if gamma[i,j,k]<>gamma[i,j,k-1] then upredict:=( gamma[i,j,k-1] * U[i,j,k-1] + gamma[i,j,k] * U[i,j,k+1] ) / ( gamma[i,j,k-1] + gamma[i,j,k] ) else if gamma[i,j,k+1]<>gamma[i,j,k] then upredict:=( gamma[i,j,k] * U[i,j,k-1] + gamma[i,j,k+1] * U[i,j,k+1] ) / ( gamma[i,j,k+1] + gamma[i,j,k] ) else { if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j-1,k]) then upredict:=( gamma[i-1,j-1,k] * U[i-1,j-1,k] + gamma[i,j,k] * U[i+1,j+1,k] ) / ( gamma[i-1,j-1,k] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j,k-1]) then upredict:=( gamma[i-1,j,k-1] * U[i,j,k-1] + gamma[i,j,k] * U[i+1,j,k+1] ) / ( gamma[i-1,j,k-1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i,j,k-1])and(gamma[i,j,k]<>gamma[i,j-1,k]) then upredict:=( gamma[i,j-1,k-1] * U[i,j-1,k-1] + gamma[i,j,k] * U[i,j+1,k+1] ) / ( gamma[i,j-1,k-1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j+1,k]) then upredict:=( gamma[i,j,k] * U[i-1,j-1,k] + gamma[i+1,j+1,k] * U[i+1,j+1,k] ) / ( gamma[i+1,j+1,k] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j,k+1]) then upredict:=( gamma[i,j,k] * U[i,j,k-1] + gamma[i+1,j,k+1] * U[i+1,j,k+1] ) / ( gamma[i+1,j,k+1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i,j,k+1])and(gamma[i,j,k]<>gamma[i,j+1,k]) then upredict:=( gamma[i,j,k] * U[i,j-1,k-1] + gamma[i,j+1,k+1] * U[i,j+1,k+1] ) / ( gamma[i,j+1,k+1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j-1,k])and(gamma[i,j,k]<>gamma[i,j,k-1]) then upredict:=( gamma[i-1,j-1,k-1] * U[i-1,j-1,k-1] + gamma[i,j,k] * U[i+1,j+1,k+1] ) / ( gamma[i-1,j-1,k-1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j+1,k])and(gamma[i,j,k]<>gamma[i,j,k+1]) then upredict:=( gamma[i,j,k] * U[i-1,j-1,k-1] + gamma[i+1,j+1,k+1] * U[i+1,j+1,k+1] ) / ( gamma[i+1,j+1,k+1] + gamma[i,j,k] ) } if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j-1,k]) then upredict:=( gamma[i-1,j-1,k] * U[i-1,j-1,k] + gamma[i,j,k] * U[i+1,j+1,k] ) / ( gamma[i-1,j-1,k] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j+1,k]) then upredict:=( gamma[i-1,j+1,k] * U[i-1,j+1,k] + gamma[i,j,k] * U[i+1,j-1,k] ) / ( gamma[i-1,j+1,k] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j+1,k]) then upredict:=( gamma[i+1,j+1,k] * U[i+1,j+1,k] + gamma[i,j,k] * U[i-1,j-1,k] ) / ( gamma[i+1,j+1,k] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j-1,k]) then upredict:=( gamma[i+1,j-1,k] * U[i+1,j-1,k] + gamma[i,j,k] * U[i-1,j+1,k] ) / ( gamma[i+1,j-1,k] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j,k-1]) then upredict:=( gamma[i-1,j,k-1] * U[i-1,j,k-1] + gamma[i,j,k] * U[i+1,j,k+1] ) / ( gamma[i-1,j,k-1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j,k+1]) then upredict:=( gamma[i-1,j,k+1] * U[i-1,j+1,k+1] + gamma[i,j,k] * U[i+1,j,k-1] ) / ( gamma[i-1,j,k+1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j,k+1]) then upredict:=( gamma[i+1,j,k+1] * U[i+1,j,k+1] + gamma[i,j,k] * U[i-1,j,k-1] ) / ( gamma[i+1,j,k+1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j,k-1]) then upredict:=( gamma[i+1,j,k-1] * U[i+1,j,k-1] + gamma[i,j,k] * U[i-1,j,k+1] ) / ( gamma[i+1,j,k-1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i,j,k-1])and(gamma[i,j,k]<>gamma[i,j-1,k]) then upredict:=( gamma[i,j-1,k-1] * U[i,j-1,k-1] + gamma[i,j,k] * U[i,j+1,k+1] ) / ( gamma[i,j-1,k-1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i,j,k-1])and(gamma[i,j,k]<>gamma[i,j+1,k]) then upredict:=( gamma[i,j+1,k-1] * U[i,j+1,k-1] + gamma[i,j,k] * U[i,j-1,k+1] ) / ( gamma[i,j+1,k-1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i,j,k+1])and(gamma[i,j,k]<>gamma[i,j+1,k]) then upredict:=( gamma[i,j,k] * U[i,j-1,k-1] + gamma[i,j+1,k+1] * U[i,j+1,k+1] ) / ( gamma[i,j+1,k+1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i,j,k+1])and(gamma[i,j,k]<>gamma[i,j-1,k]) then upredict:=( gamma[i,j,k] * U[i,j+1,k-1] + gamma[i,j-1,k+1] * U[i,j-1,k+1] ) / ( gamma[i,j-1,k+1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j-1,k])and(gamma[i,j,k]<>gamma[i,j,k-1]) then upredict:=( gamma[i-1,j-1,k-1] * U[i-1,j-1,k-1] + gamma[i,j,k] * U[i+1,j+1,k+1] ) / ( gamma[i-1,j-1,k-1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j+1,k])and(gamma[i,j,k]<>gamma[i,j,k+1]) then upredict:=( gamma[i,j,k] * U[i-1,j-1,k-1] + gamma[i+1,j+1,k+1] * U[i+1,j+1,k+1] ) / ( gamma[i+1,j+1,k+1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j-1,k])and(gamma[i,j,k]<>gamma[i,j,k+1]) then upredict:=( gamma[i-1,j-1,k+1] * U[i-1,j-1,k+1] + gamma[i,j,k] * U[i+1,j+1,k-1] ) / ( gamma[i-1,j-1,k+1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j-1,k])and(gamma[i,j,k]<>gamma[i,j,k+1]) then upredict:=( gamma[i,j,k] * U[i-1,j+1,k-1] + gamma[i+1,j-1,k+1] * U[i+1,j-1,k+1] ) / ( gamma[i+1,j-1,k+1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j-1,k])and(gamma[i,j,k]<>gamma[i,j,k-1]) then upredict:=( gamma[i+1,j-1,k-1] * U[i+1,j-1,k-1] + gamma[i,j,k] * U[i-1,j+1,k+1] ) / ( gamma[i+1,j-1,k-1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j+1,k])and(gamma[i,j,k]<>gamma[i,j,k-1]) then upredict:=( gamma[i,j,k] * U[i+1,j-1,k+1] + gamma[i-1,j+1,k-1] * U[i-1,j+1,k-1] ) / ( gamma[i-1,j+1,k-1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i-1,j,k])and(gamma[i,j,k]<>gamma[i,j+1,k])and(gamma[i,j,k]<>gamma[i,j,k+1]) then upredict:=( gamma[i-1,j+1,k+1] * U[i-1,j+1,k+1] + gamma[i,j,k] * U[i+1,j-1,k-1] ) / ( gamma[i-1,j+1,k+1] + gamma[i,j,k] ) else if (gamma[i,j,k]<>gamma[i+1,j,k])and(gamma[i,j,k]<>gamma[i,j+1,k])and(gamma[i,j,k]<>gamma[i,j,k-1]) then upredict:=( gamma[i,j,k] * U[i-1,j-1,k+1] + gamma[i+1,j+1,k-1] * U[i+1,j-1,k+1] ) / ( gamma[i+1,j+1,k-1] + gamma[i,j,k] ) else upredict:= ( U[i+1,j,k] + U[i-1,j,k] + U[i,j+1,k] + U[i,j-1,k] + U[i,j,k+1] + U[i,j,k-1] ) / 6; u1[i,j,k]:=tau*upredict+(1-tau)*u[i,j,k]; sad:=sad+abs(upredict-u[i,j,k]); end; FreeBoundary; sd:=sad/sadMax+sab/sabMax; IterNum:=IterNum+1; u:=u1; writeln('sd=',sd:rlc,{' r.sad=',sad/sadMax:rlc,' r.sab=',sab/sabMax:rlc,}' iter=',iternum); end; {-----main loop-----} readln; end;{---------------------------Compute--------------------------- } Begin End.