📄 unit2.pas
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unit Unit2;
interface
uses
Windows, Messages, SysUtils, Classes, Graphics,UNIT1, Controls, Forms, Dialogs;
Function BESSJ0(X:real):real;
Procedure ZBRAC(var X1, X2:real; SUCCES:boolean);
implementation
Function BESSJ0(X:real):real;
var
AAA,BBB,CCC,Y,AX,Z,DDD,EEE,XX:real;
const
P1=1; P2=-0.001098628627;
P3=0.2734510407e-4; P4=-0.2073370639e-5;
P5=2.093887211E-07;
Q1=-0.1562499995e-1; Q2=0.1430488765e-3;
Q3=-0.6911147651e-5; Q4=7.621095161E-07;
Q5=-9.34945152E-08;
R1=57568490574; R2=-13362590354;
R3=651619640.7; R4=-11214424.18;
R5=77392.33017; R6=-184.9052456;
S1=57568490411; S2=1029532985;
S3=9494680.718; S4=59272.64853;
S5=267.8532712; S6=1;
begin
If Abs(X) < 8 Then
begin
Y:=X * X;
BBB:=Y* (R4+ Y* (R5+ Y* R6));
AAA:=R1+ Y* (R2+ Y* (R3+ BBB));
CCC:=Y* (S3+ Y* (S4+ Y* (S5+ Y* S6)));
BESSJ0:= AAA / (S1+ Y* (S2+ CCC));
end
Else
begin
AX:=Abs(X);
Z:=8/ AX;
Y:=Z* Z;
XX:= AX- 0.785398164;
CCC:=Y* (P3+ Y* (P4+ Y* P5));
AAA:=P1+ Y* (P2+ CCC);
DDD:=Y* (Q3+ Y* (Q4+ Y* Q5));
EEE:=Z* Sin(XX) * (Q1+ Y* (Q2+ DDD));
BESSJ0:= Sqrt(0.636619772 / AX) * (Cos(XX) * AAA- EEE);
End;
End;
Procedure ZBRAC(var X1, X2:real; SUCCES:boolean);
var
NTRY,J:integer; FACTOR,F1,F2:real;
begin
FACTOR:=1.6;
NTRY:=50;
If X1 = X2 Then ShowMessage('you have to guess an initial range');
F1:=FUN(X1);
F2:=FUN(X2);
SUCCES:=True;
For J:=1 To NTRY do
begin
If F1 * F2 < 0 Then Exit;
If Abs(F1) < Abs(F2) Then
begin
X1:=X1 + FACTOR * (X1 - X2);
F1:=FUN(X1);
end
Else
begin
X2:=X2 + FACTOR * (X2 - X1);
F2:=FUN(X2);
end;
end;
SUCCES:=False;
end;
end.
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