unit Fil_XYZ_otlad; interface{-------------------------------------------------------------} const Nx=10; {net nodes amount on X axe} Ny=10; {net nodes amount on Y axe} Nk=10; Mx=Nx+1; My=Ny+1; Mk=Nk+1; sdStop=2e-6; {stop value for relative deviation} rlc=9; {real output digits amount} STau=0.9; {value for relaxation parameter} gamma1=1e-5; {--epidermis--} gamma2=0.1; {--Sosochk.sloi--} gamma3=5; {--vascular--} gamma4=0.01; {--setchat.sloi--} gamma5=5e-3; {--nervous cells--} gamma6=0.1; {--subcutaneus fat--} gamma7=1; {--muscle--} gamma8=1e-2; {--pora--} gamma10=3; gamma11=10; type U_Matrix = array[1..Mx,1..My,1..Mk] of single; GammaArray = array[1..Mx,1..My,1..Mk] of single; var tau : double; {relaxation parameter} num : integer; u, u1 : U_Matrix; {auxillary parameters while computing} sr, sz, upredict, hx, hy, 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; {deviation sum control parameters} sd:=1e+9; sadMax:=Mx*My*Mk; sabMax:=2*(Mx+My+Mk) for i:=1 to Mx do for j:=1 to My do for k:=1 to Mk do begin {----------------------gamma----------------------} gamma[i,j,k]:=gamma10; if ((((i-6)*(i-6)+(j-6)*(j-6)+(k-6)*(k-5))<=9)) then gamma[i,j,k]:=gamma11 else gamma[i,j,k]:=gamma10; { gamma[i,j,k]:=gamma1; if (k>2)and(k<7) then gamma[i,j,k]:=gamma2; if ((((i-25)*(i-25)+(j-25)*(j-25))<=100)and((k>=3)and(k<6)))or ((j<15)and((k>=4)and(k<5)))or((j>35)and((k>=4)and(k<5))) then gamma[i,j,k]:=gamma3; if ((k>=12)and(k<14))or((k>=29)and(k<33)) then gamma[i,j,k]:=gamma3; if ((k>=7)and(k<8))or((k>=9)and(k<12))or((k>=14)and(k<=15)) then gamma[i,j,k]:=gamma4; if ((k>=8)and(k<=9))or((k>=40)and(k<42)) then gamma[i,j,k]:=gamma5; if (k>15)and(k<25) then gamma[i,j,k]:=gamma6; if ((k>=25)and(k<29))or((k>=33)and(k<40))or((k>=42)and(k=10)and(k<20)))or ((((i-27)*(i-27)+(j-16)*(j-16))<=9)and((k>=10)and(k<20)))or ((((i-35)*(i-35)+(j-41)*(j-41))<=9)and((k>=10)and(k<20)))or ((((i-44)*(i-44)+(j-19)*(j-19))<=9)and((k>=10)and(k<20))) then gamma[i,j,k]:=gamma5; } end; end;{----------------------Set parameters----------------------} procedure FreeBoundary; var i, j, k : integer; delta:single; 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 Mx do for j:=1 to My do begin u1[i,j,1]:={-0.8}-10; u1[i,j,Mk-1]:={-0.7}10; end; delta:=abs(u1[1,1,1]-u1[1,1,Mk-1])/Nk; for i:=1 to Mx do for k:=1 to Mk do begin u1[i,1,k]:={u1[i,1,k-1]}-10+delta*(k-1); u1[i,My-1,k]:={u1[i,My,k-1]}-10+delta*(k-1); end; for j:=1 to My do for k:=1 to Mk do begin u1[1,j,k]:={u1[1,j,k-1]}-10+delta*(k-1); u1[Mx-1,j,k]:={u1[Mx,j,k-1]}-10+delta*(k-1); end; end;{------------------------FreeBoundary----------------------} {Procedure Current; var Ji, C, Cd, Cur : 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 begin C:=0; if ((((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 begin Ji:=gamma[i+1,j+1,k]*(u[i+3,j+3,k]-u[i,j,k])/(3*0.5e-3); if Ji > 0 then C:=C+Ji; end; Cd:=Cd+C; end; Cur:=Cd*pi*sqr(5e-3)/4; write(Cd,Cur,1/Cur); readln; Cd:=0; for i:=1 to Mr do for j:=1 to Mz do for k:=1 to Mk do begin C:=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 begin if (i<=21)and(j<=21) then Ji:=gamma1*(u[i+3,j+3,k]-u[i,j,k])/(3*0.5e-3) else if (i>21)and(j<=21) then Ji:=gamma1*(u[i-3,j+3,k]-u[i,j,k])/(3*0.5e-3) else if (i<=21)and(j>21) then Ji:=gamma1*(u[i+3,j-3,k]-u[i,j,k])/(3*0.5e-3) else if (i>21)and(j>21) then Ji:=gamma1*(u[i-3,j-3,k]-u[i,j,k])/(3*0.5e-3); if Ji < 0 then C:=C+Ji; end; Cd:=Cd+C; end; Cur:=Cd*pi*75e-4*1e-2; write(Cd,Cur,1/Cur); 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 Mx-1 do {-----inner points scanning-----} for j:=2 to My-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.