Notes
Notes - notes.io |
IMPLICIT NONE
DOUBLE PRECISION LOWER,UPPER,XR,ERROR,XNEW,XOLD,EMAX,RTRUE,F
DOUBLE PRECISION sqrt,blank
INTEGER I
RTRUE=sqrt(2.)
I=0
UPPER=5.0
LOWER=1.0
ERROR=100.0
PRINT *,"MAX ALLOWABLE ERROR?"
READ *,EMAX
DO WHILE ((ERROR .GT. EMAX) .AND. (I .LT. 150))
I=I+1
XNEW=(UPPER+LOWER)/2.
IF (F(XNEW).LT. 0) THEN
LOWER=XNEW
ELSE IF (F(XNEW) .GT. 0) THEN
UPPER=XNEW
ELSE
PRINT *,XNEW," IS THE ROOT"
read *,blank
STOP
END IF
XR=(LOWER+UPPER)/2
ERROR=ABS((XR-RTRUE)/RTRUE)*100.0
WRITE(*,*) ERROR,lower,upper
END DO
PRINT *,"AFTER ",I," ITERATIONS, ROOT IS FOUND TO BE "
WRITE(*,20) XR
20 FORMAT(F64.62,5X,F64.62,5X,F64.62)
PRINT *," WITH ERROR: ",ERROR
read *,blank
STOP
END PROGRAM BISECT
DOUBLE PRECISION FUNCTION F(X)
DOUBLE PRECISION X
F=X**2-2
RETURN
END FUNCTION F
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