             ----------------------------------------------
              THESE ARE THE RESULTS FROM RANGE. ALL ERROR 
              FLAGS EXCEPT IFAIL = 5 ARE TESTED.
             ----------------------------------------------

   EXAMPLE NUMBER  1
   N =   6  K =   1  AL =   0.600000E+02
   THE KNOTS OF THE PERFECT SPLINES ARE:
           ETA                PSI
      0.20008534E+00      0.19991466E+00
      0.59735471E+00      0.60264534E+00
      0.10180054E+01      0.98199469E+00
      0.13333547E+01      0.14666455E+01
      0.19792852E+01      0.16207147E+01
   INTERPOLATION POINT X0 =   0.100000E+01
   LOWER BOUND =  -0.951168E+01  UPPER BOUND =   0.123277E+02
   OPTIMAL VALUE =   0.140800E+01
   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.345321E+01
   WHICH OCCURRED AT X =   0.146000E+01
   WHERE OMEGA =   0.100870E+02 AND F(X)  =  0.663383E+01

   EXAMPLE NUMBER  2
   N =   6  K =   2  AL =   0.300000E+03
   THE KNOTS OF THE PERFECT SPLINES ARE:
           ETA                PSI
      0.40120667E+00      0.39871797E+00
      0.79224670E+00      0.80695659E+00
      0.12202799E+01      0.11749566E+01
      0.15396399E+01      0.16609660E+01
   INTERPOLATION POINT X0 =   0.100000E+01
   LOWER BOUND =  -0.459200E+01  UPPER BOUND =   0.730667E+01
   OPTIMAL VALUE =   0.135733E+01
   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.209867E+01
   WHICH OCCURRED AT X =   0.182000E+01
   WHERE OMEGA =   0.220677E+02 AND F(X)  =  0.199690E+02

   EXAMPLE NUMBER  3
   N =   6  K =   3  AL =   0.150000E+04
   THE KNOTS OF THE PERFECT SPLINES ARE:
           ETA                PSI
      0.59177190E+00      0.58579171E+00
      0.99202675E+00      0.10073299E+01
      0.14312522E+01      0.13910428E+01
   INTERPOLATION POINT X0 =   0.100000E+01
   LOWER BOUND =  -0.308052E+01  UPPER BOUND =   0.505042E+01
   OPTIMAL VALUE =   0.984946E+00
   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.519852E+00
   WHICH OCCURRED AT X =   0.184000E+01
   WHERE OMEGA =   0.216105E+02 AND F(X)  =  0.210906E+02

   EXAMPLE NUMBER  4
   N =   6  K =   4  AL =   0.750000E+04
   THE KNOTS OF THE PERFECT SPLINES ARE:
           ETA                PSI
      0.78239709E+00      0.77691776E+00
      0.12151320E+01      0.12255204E+01
   INTERPOLATION POINT X0 =   0.100000E+01
   LOWER BOUND =  -0.187970E+01  UPPER BOUND =   0.387140E+01
   OPTIMAL VALUE =   0.995854E+00
   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.129669E+00
   WHICH OCCURRED AT X =   0.186000E+01
   WHERE OMEGA =   0.223917E+02 AND F(X)  =  0.222620E+02

   EXAMPLE NUMBER  5
   N =   6  K =   5  AL =   0.375000E+05
   THE KNOTS OF THE PERFECT SPLINES ARE:
           ETA                PSI
      0.10010686E+01      0.99893153E+00
   INTERPOLATION POINT X0 =   0.100000E+01
   LOWER BOUND =  -0.169528E+01  UPPER BOUND =   0.369528E+01
   OPTIMAL VALUE =   0.100000E+01
   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.204659E-01
   WHICH OCCURRED AT X =   0.186000E+01
   WHERE OMEGA =   0.222825E+02 AND F(X)  =  0.222620E+02

   EXAMPLE NUMBER  6
   N =   6  K =   6  AL =   0.187500E+06
   INTERPOLATION POINT X0 =   0.100000E+01
   LOWER BOUND =  -0.275000E+01  UPPER BOUND =   0.475000E+01
   OPTIMAL VALUE =   0.100000E+01
   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.381470E-05
   WHICH OCCURRED AT X =   0.182000E+01
   WHERE OMEGA =   0.199690E+02 AND F(X)  =  0.199690E+02

   EXAMPLE NUMBER  7
   N =  10  K =   4  AL =   0.300000E+03
   THE KNOTS OF THE PERFECT SPLINES ARE:
           ETA                PSI
      0.97714454E-01      0.95635980E-01
      0.11886663E+00      0.11883278E+00
      0.13622126E+00      0.13368882E+00
      0.22616372E+00      0.44955903E+00
      0.61388755E+00      0.92092508E+00
      0.95243317E+00      0.27322404E+01
   INTERPOLATION POINT X0 =   0.155025E+01
   LOWER BOUND =   0.163778E+02  UPPER BOUND =   0.181238E+02
   OPTIMAL VALUE =   0.172508E+02
   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.842055E+01
   WHICH OCCURRED AT X =   0.164327E+01
   WHERE OMEGA =   0.204028E+02 AND F(X)  =  0.119822E+02

   EXAMPLE NUMBER  8
   N =  10  K =   5  AL =   0.150000E+04
   THE KNOTS OF THE PERFECT SPLINES ARE:
           ETA                PSI
      0.93454733E-01      0.10841814E+00
      0.12012035E+00      0.14584449E+00
      0.38132465E+00      0.36252686E+00
      0.95063865E+00      0.10193685E+01
      0.18717897E+01      0.17939497E+01
   INTERPOLATION POINT X0 =   0.155025E+01
   LOWER BOUND =  -0.296759E+01  UPPER BOUND =   0.216193E+02
   OPTIMAL VALUE =   0.932588E+01
   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.436543E+00
   WHICH OCCURRED AT X =   0.189131E+01
   WHERE OMEGA =   0.246361E+02 AND F(X)  =  0.241996E+02

 ***** MESSAGE FROM RANGE   THE VALUE OF AL MUST BE AT LEAST  4.805179E+04 *****
   EXAMPLE NUMBER  9
   N =  10  K =   6  AL =   0.750000E+04
   RANGE FAILED. IFAIL =    4

   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.301178E+01
   WHICH OCCURRED AT X =   0.148824E+01
   WHERE OMEGA =   0.428893E+01 AND F(X)  =  0.730071E+01

 ***** MESSAGE FROM RANGE   THE VALUE OF AL MUST BE AT LEAST  1.169297E+05 *****
   EXAMPLE NUMBER 10
   N =  10  K =   7  AL =   0.375000E+05
   RANGE FAILED. IFAIL =    4

   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.160286E+00
   WHICH OCCURRED AT X =   0.192231E+01
   WHERE OMEGA =   0.260890E+02 AND F(X)  =  0.262493E+02

 ***** MESSAGE FROM RANGE   THE VALUE OF AL MUST BE AT LEAST  3.142616E+05 *****
   EXAMPLE NUMBER 11
   N =  10  K =   8  AL =   0.187500E+06
   RANGE FAILED. IFAIL =    4

   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.712271E-01
   WHICH OCCURRED AT X =   0.158126E+01
   WHERE OMEGA =   0.995698E+01 AND F(X)  =  0.988575E+01

 ***** MESSAGE FROM RANGE   THE VALUE OF AL MUST BE AT LEAST  9.501330E+05 *****
   EXAMPLE NUMBER 12
   N =  10  K =   9  AL =   0.937500E+06
   RANGE FAILED. IFAIL =    4

   MAXIMUM ERROR OVER 101 EQUALLY SPACED POINTS IN THE
   CLOSED INTERVAL X(1) TO X(N) IS =   0.888261E+01
   WHICH OCCURRED AT X =   0.195332E+01
   WHERE OMEGA =   0.373181E+02 AND F(X)  =  0.284355E+02

 ***** MESSAGE FROM RANGE   N.LT.2 *****
   EXAMPLE NUMBER 13
   N =   1  K =   9  AL =   0.937500E+06
   RANGE FAILED. IFAIL =    1

 ***** MESSAGE FROM RANGE   K IS NOT IN THE INTERVAL  1.LE.K.LE.N *****
   EXAMPLE NUMBER 14
   N =   9  K =   0  AL =   0.937500E+06
   RANGE FAILED. IFAIL =    2

 ***** MESSAGE FROM RANGE   THE DATA POINTS ARE NOT IN ASCENDING ORDER. *****
   EXAMPLE NUMBER 15
   N =  10  K =   4  AL =   0.937500E+06
   RANGE FAILED. IFAIL =    3

 ***** MESSAGE FROM RANGE   THE VALUE OF AL IS .LE. ZERO *****
   EXAMPLE NUMBER 16
   N =  10  K =   4  AL =  -0.200000E+02
   RANGE FAILED. IFAIL =    7

 ***** MESSAGE FROM RANGE    THE ARRAYS ETA AND PSI ARE TOO SMALL *****
   EXAMPLE NUMBER 17
   N =  10  K =   4  AL =  -0.200000E+02
   RANGE FAILED. IFAIL =    9

 ***** MESSAGE FROM RANGE    THE ARRAY WK IS TOO SMALL *****
   EXAMPLE NUMBER 18
   N =  10  K =   4  AL =  -0.200000E+02
   RANGE FAILED. IFAIL =    8

 ***** MESSAGE FROM RANGE   ALPHA.LT.X(1) *****
   EXAMPLE NUMBER 19
   N =  10  K =   4  AL =  -0.200000E+02
   RANGE FAILED. IFAIL =   10

 ***** MESSAGE FROM RANGE   THE VALUE OF AL MUST BE AT LEAST  2.269006E+02 *****
   EXAMPLE NUMBER 20
   N =  10  K =   4  AL =   0.500000E+00
   RANGE FAILED. IFAIL =    4

