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NRPAS13
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CHEBPC.DEM
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1991-04-29
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PROGRAM d5r8(input,output);
(* driver for routine CHEBPC *)
LABEL 10,99;
CONST
nval=40;
pio2=1.5707963;
TYPE
glcarray= ARRAY [1..nval] OF real;
VAR
a,b,poly,x,y : real;
i,j,mval : integer;
c,d : glcarray;
FUNCTION func(x: real): real;
BEGIN
func := sqr(x)*(sqr(x)-2.0)*sin(x)
END;
(*$I MODFILE.PAS *)
(*$I CHEBFT.PAS *)
(*$I CHEBPC.PAS *)
BEGIN
a := -pio2;
b := pio2;
chebft(a,b,c,nval);
10: writeln;
writeln('How many terms in Chebyshev evaluation?');
write('Enter n between 6 and ',nval:2,
'. (n := 0 to end). ');
readln(mval);
IF ((mval <= 0) OR (mval > nval)) THEN GOTO 99;
chebpc(c,d,mval);
(* test polynomial *)
writeln;
writeln('x':9,'actual':14,'polynomial':14);
FOR i := -8 to 8 DO BEGIN
x := i*pio2/10.0;
y := (x-(0.5*(b+a)))/(0.5*(b-a));
poly := d[mval];
FOR j := mval-1 DOWNTO 1 DO BEGIN
poly := poly*y+d[j]
END;
writeln(x:12:6,func(x):12:6,poly:12:6)
END;
GOTO 10;
99:
END.