📄 rtnewt.pas
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FUNCTION rtnewt(x1,x2,xacc: real): real;
(* Programs using routine RTNEWT must externally define procedure
funcd(x,f,df:real) which returns the function value f and its
derivative df at the point x. *)
LABEL 99;
CONST
jmax=20;
VAR
df,dx,f,rtn: real;
j: integer;
BEGIN
rtn := 0.5*(x1+x2);
FOR j := 1 TO jmax DO BEGIN
funcd(rtn,f,df);
dx := f/df;
rtn := rtn-dx;
IF ((x1-rtn)*(rtn-x2) < 0.0) THEN BEGIN
writeln('pause in routine RTNEWT');
writeln('jumped out of brackets'); readln
END;
IF (abs(dx) < xacc) THEN GOTO 99
END;
writeln('pause in routine RTNEWT');
writeln('maximum number of iterations exceeded'); readln;
99: rtnewt := rtn
END;
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