📄 eulsum.dem
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PROGRAM d5r1(input,output);
(* driver for routine EULSUM *)
LABEL 10,99;
CONST
nval=40;
VAR
i,j,mval,glnterm : integer;
sum,term,x,xpower : real;
glwksp : ARRAY [1..nval] OF real;
(*$I MODFILE.PAS *)
(*$I EULSUM.PAS *)
BEGIN
(* evaluate ln(1+x) := x-x^2/2+x^3/3-x^4/4 ... FOR -1<x<1 *)
10: writeln;
writeln ('How many terms in polynomial?');
writeln ('Enter n between 1 and ',nval:2,
'. (n := 0 to END)');
readln (mval);
writeln;
IF ((mval <= 0) OR (mval > nval)) THEN GOTO 99;
writeln ('x':9,'actual':14,'polynomial':14);
FOR i := -8 to 8 DO BEGIN
x := i/10.0;
sum := 0.0;
xpower := -1;
FOR j := 1 to mval DO BEGIN
xpower := -x*xpower;
term := xpower/j;
eulsum(sum,term,j)
END;
writeln (x:12:6,ln(1.0+x):12:6,sum:12:6)
END;
GOTO 10;
99:
END.
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