ibeta............       2
it...............      64
irnd.............       5
ngrd.............       0
machep...........     -63
negep............     -64
iexp.............      15
minexp...........  -16382
maxexp...........   16384
eps..............     1.0842021724855044340074528008699417e-19
epsneg...........     5.4210108624275221700372640043497086e-20
xmin.............   3.3621031431120935062626778173217526e-4932
xmax.............   1.1897314953572317650212638530309702e+4932
1TEST OF ALOG(X) VS T.S. EXPANSION OF ALOG(1+Y)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (1-EPS,1+EPS), WHERE EPS =     4.7684e-07


 ALOG(X) WAS LARGER    72 TIMES,
             AGREED  1863 TIMES, AND
        WAS SMALLER    65 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.0821e-19 =    2 ** -63.00
    OCCURRED FOR X =     1.000000e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.9665e-20 =    2 ** -65.46
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF ALOG(X) VS ALOG(17X/16)-ALOG(17/16)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     7.0711e-01,     9.3750e-01)


 ALOG(X) WAS LARGER     0 TIMES,
             AGREED  1579 TIMES, AND
        WAS SMALLER   421 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.0840e-19 =    2 ** -63.00
    OCCURRED FOR X =     8.824732e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     3.8457e-20 =    2 ** -64.50
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF ALOG10(X) VS ALOG10(11X/10)-ALOG10(11/10)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     3.1623e-01,     9.0000e-01)


 ALOG10(X) WAS LARGER     0 TIMES,
               AGREED   857 TIMES, AND
          WAS SMALLER  1143 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.8619e-19 =    2 ** -61.60
    OCCURRED FOR X =     8.966955e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.40


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.3079e-20 =    2 ** -63.57
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.43


1TEST OF ALOG(X*X) VS 2 * LOG(X)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.6000e+01,     2.4000e+02)


 ALOG(X) WAS LARGER    58 TIMES,
             AGREED  1942 TIMES, AND
        WAS SMALLER     0 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.0670e-19 =    2 ** -63.02
    OCCURRED FOR X =     5.823390e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.98


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.3695e-20 =    2 ** -65.98
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS


 THE IDENTITY  ALOG(X) = -ALOG(1/X)  WILL BE TESTED.

        X         F(X) + F(1/X)

  1.5772204e+01  0.0000000e+00

  1.5152090e+01  0.0000000e+00

  1.5754575e+01  0.0000000e+00

  1.6386594e+01  0.0000000e+00

  1.6362367e+01  0.0000000e+00



 TEST OF SPECIAL ARGUMENTS


 ALOG(1.0) =   0.0000000e+00


 ALOG(XMIN) = ALOG(3.3621031e-4932) =  -1.1355137e+04


 ALOG(XMAX) = ALOG(1.1897315e+4932) =   1.1356523e+04


1TEST OF ERROR RETURNS


 ALOG WILL BE CALLED WITH THE ARGUMENT    -2.0000e+00
 THIS SHOULD TRIGGER AN ERROR MESSAGE


ALOG(): Numerical argument out of domain
 ALOG RETURNED THE VALUE            nan


 ALOG WILL BE CALLED WITH THE ARGUMENT     0.0000e+00
 THIS SHOULD TRIGGER AN ERROR MESSAGE


ALOG(): Numerical result out of range
 ALOG RETURNED THE VALUE           -inf



 THIS CONCLUDES THE TESTS
1TEST OF ASIN(X) VS TAYLOR SERIES

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -1.2500e-01,     1.2500e-01)


 ASIN(X) WAS LARGER   533 TIMES,
             AGREED  1004 TIMES, AND
        WAS SMALLER   463 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.0840e-19 =    2 ** -63.00
    OCCURRED FOR X =    -1.246933e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.4163e-20 =    2 ** -64.00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF ACOS(X) VS TAYLOR SERIES

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -1.2500e-01,     1.2500e-01)


 ACOS(X) WAS LARGER   462 TIMES,
             AGREED  1036 TIMES, AND
        WAS SMALLER   502 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     7.5005e-20 =    2 ** -63.53
    OCCURRED FOR X =     1.249530e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.47


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.7980e-20 =    2 ** -64.18
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF ASIN(X) VS TAYLOR SERIES

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     7.5000e-01,     1.0000e+00)


 ASIN(X) WAS LARGER     1 TIMES,
             AGREED   701 TIMES, AND
        WAS SMALLER  1298 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.0152e-19 =    2 ** -62.11
    OCCURRED FOR X =     8.800833e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.89


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.8143e-20 =    2 ** -63.67
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.33


1TEST OF ACOS(X) VS TAYLOR SERIES

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     7.5000e-01,     1.0000e+00)


 ACOS(X) WAS LARGER   557 TIMES,
             AGREED   846 TIMES, AND
        WAS SMALLER   597 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     4.1758e-17 =    2 ** -54.41
    OCCURRED FOR X =     9.998966e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   9.59


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.0461e-18 =    2 ** -59.73
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   4.27


1TEST OF ACOS(X) VS TAYLOR SERIES

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -1.0000e+00,    -7.5000e-01)


 ACOS(X) WAS LARGER   381 TIMES,
             AGREED  1212 TIMES, AND
        WAS SMALLER   407 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     4.1543e-19 =    2 ** -61.06
    OCCURRED FOR X =    -9.999517e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.94


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.2099e-20 =    2 ** -64.06
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS

 THE IDENTITY  ASIN(-X) = -ASIN(X)  WILL BE TESTED.

        X         F(X) + F(-X)
 -4.2814595e-01  0.0000000e+00

 -7.1236423e-01  0.0000000e+00

 -6.0014634e-01  0.0000000e+00

 -8.5800959e-01  0.0000000e+00

 -4.6778828e-01  0.0000000e+00

 THE IDENTITY ASIN(X) = X , X SMALL, WILL BE TESTED.

        X         X - F(X)
  4.0875758e-20  0.0000000e+00

  2.0437879e-20  0.0000000e+00

  1.0218940e-20  0.0000000e+00

  5.1094698e-21  0.0000000e+00

  2.5547349e-21  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       ASIN(2.482895e-3699) =2.482895e-3699

1TEST OF ERROR RETURNS


 ASIN WILL BE CALLED WITH THE ARGUMENT     1.2000e+00
 THIS SHOULD TRIGGER AN ERROR MESSAGE


asin(): Numerical argument out of domain
 ASIN RETURNED THE VALUE            nan


 THIS CONCLUDES THE TESTS
1TEST OF ATAN(X) VS TRUNCATED TAYLOR SERIES

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -6.2500e-02,     6.2500e-02)


 ATAN(X) WAS LARGER     1 TIMES,
             AGREED  1980 TIMES, AND
        WAS SMALLER    19 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     7.1585e-20 =    2 ** -63.60
    OCCURRED FOR X =    -4.736574e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.40


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.3725e-21 =    2 ** -67.09
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF ATAN(X) VS ATAN(1/16) + ATAN((X-1/16)/(1+X/16))

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     6.2500e-02,     2.6795e-01)


 ATAN(X) WAS LARGER   231 TIMES,
             AGREED  1418 TIMES, AND
        WAS SMALLER   351 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.0838e-19 =    2 ** -63.00
    OCCURRED FOR X =     2.554386e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.1464e-20 =    2 ** -64.39
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF 2*ATAN(X) VS ATAN(2X/(1-X*X))

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     2.6795e-01,     4.1421e-01)


 ATAN(X) WAS LARGER   248 TIMES,
             AGREED  1440 TIMES, AND
        WAS SMALLER   312 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.0318e-19 =    2 ** -63.07
    OCCURRED FOR X =     2.689134e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.93


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.4135e-20 =    2 ** -64.30
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF 2*ATAN(X) VS ATAN(2X/(1-X*X))

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     4.1421e-01,     1.0000e+00)


 ATAN(X) WAS LARGER   122 TIMES,
             AGREED  1732 TIMES, AND
        WAS SMALLER   146 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.0830e-19 =    2 ** -63.00
    OCCURRED FOR X =     5.469966e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.7708e-20 =    2 ** -64.97
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS

 THE IDENTITY   ATAN(-X) = -ATAN(X)   WILL BE TESTED.


        X         F(X) + F(-X)

  1.9305108e+00  0.0000000e+00

  3.8022454e-01  0.0000000e+00

  1.8864367e+00  0.0000000e+00

  3.4664847e+00  0.0000000e+00

  3.4059187e+00  0.0000000e+00

 THE IDENTITY ATAN(X) = X , X SMALL, WILL BE TESTED.


        X         X - F(X)

  2.7621380e-20  0.0000000e+00

  1.3810690e-20  0.0000000e+00

  6.9053450e-21  0.0000000e+00

  3.4526725e-21  0.0000000e+00

  1.7263362e-21  0.0000000e+00

 THE IDENTITY ATAN(X/Y) = ATAN2(X,Y) WILL BE TESTED
 THE FIRST COLUMN OF RESULTS SHOULD BE 0, THE SECOND +-PI

        X             Y     F1(X/Y)-F2(X,Y)F1(X/Y)-F2(X/(-Y))
  6.6867110e-02  7.1034077e-01  0.0000000e+00 -3.1415927e+00

 -1.0365435e+00  9.8521853e-01  5.4210109e-20  3.1415927e+00

  1.4755374e+00  9.8087657e-01  0.0000000e+00 -3.1415927e+00

 -1.2858945e+00  5.0237412e-02  0.0000000e+00  3.1415927e+00

  1.9065461e+00  2.6024255e-01  0.0000000e+00 -3.1415927e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       ATAN(2.482895e-3699) =2.482895e-3699
1TEST OF ERROR RETURNS


 ATAN WILL BE CALLED WITH THE ARGUMENT1.1897315e+4932
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


       ATAN(1.189731e+4932) = 1.570796e+00
 ATAN2 WILL BE CALLED WITH THE ARGUMENTS
  1.0000000e+00  0.0000000e+00

 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


       ATAN2( 1.000000e+00 0.000000e+00) = 1.570796e+00
 ATAN2 WILL BE CALLED WITH THE ARGUMENTS
3.3621031e-49321.1897315e+4932

 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


       ATAN2(3.362103e-49321.189731e+4932) = 0.000000e+00
 ATAN2 WILL BE CALLED WITH THE ARGUMENTS
1.1897315e+49323.3621031e-4932

 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


       ATAN2(1.189731e+49323.362103e-4932) = 1.570796e+00
 ATAN2 WILL BE CALLED WITH THE ARGUMENTS
  0.0000000e+00  0.0000000e+00

 THIS SHOULD TRIGGER AN ERROR MESSAGE


       ATAN2( 0.000000e+00 0.000000e+00) = 0.000000e+00
 THIS CONCLUDES THE TESTS
1TEST OF EXP(X- 0.0625) VS EXP(X)/EXP( 0.0625)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -2.8407e-01,     3.4657e-01)


 EXP(X-V) WAS LARGER   290 TIMES,
              AGREED  1452 TIMES, AND
         WAS SMALLER   258 TIMES.


 THERE ARE   64 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.0838e-19 =    2 ** -63.00
    OCCURRED FOR X =     6.283620e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.0969e-20 =    2 ** -64.40
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF EXP(X- 2.8125) VS EXP(X)/EXP( 2.8125)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -3.4657e+00,    -1.1309e+04)


 EXP(X-V) WAS LARGER   288 TIMES,
              AGREED  1459 TIMES, AND
         WAS SMALLER   253 TIMES.


 THERE ARE   64 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.0792e-19 =    2 ** -63.01
    OCCURRED FOR X =    -1.139489e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.0214e-20 =    2 ** -64.43
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF EXP(X- 2.8125) VS EXP(X)/EXP( 2.8125)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     6.9315e+00,     1.1356e+04)


 EXP(X-V) WAS LARGER   289 TIMES,
              AGREED  1427 TIMES, AND
         WAS SMALLER   284 TIMES.


 THERE ARE   64 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.0825e-19 =    2 ** -63.00
    OCCURRED FOR X =     1.910355e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2343e-20 =    2 ** -64.36
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS


 THE IDENTITY EXP(X)*EXP(-X) = 1.0  WILL BE TESTED.

       X        F(X)*F(-X) - 1

  1.8267894e+00  0.0000000e+00

  1.8027797e+00  0.0000000e+00

  2.1692417e-01  0.0000000e+00

  1.1381506e+00  0.0000000e+00

  1.6112421e-01 -5.4210109e-20



 TEST OF SPECIAL ARGUMENTS


 EXP(0.0) - 1.0E0 =   0.0000000e+00

 EXP(-1.135500e+04) =3.856186e-4932

 EXP( 1.135600e+04) =7.049146e+4931

 IF EXP( 5.678000e+03) = 8.395919e+2465 IS NOT ABOUT
 EXP( 2.839000e+03)**2 =8.395919e+2465 THERE IS AN ARG RED ERROR
1TEST OF ERROR RETURNS


 EXP WILL BE CALLED WITH THE ARGUMENT  -5.4537e+2465
 THIS SHOULD TRIGGER AN ERROR MESSAGE


EXP(): Numerical result out of range
 EXP RETURNED THE VALUE     0.0000e+00



 EXP WILL BE CALLED WITH THE ARGUMENT   5.4537e+2465
 THIS SHOULD TRIGGER AN ERROR MESSAGE


EXP(): Numerical result out of range
 EXP RETURNED THE VALUE            inf



 THIS CONCLUDES THE TESTS
1TEST OF X**1.0 VS X


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     5.0000e-01,     1.0000e+00)


 X**1.0 WAS LARGER     0 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER  2000 TIMES.


 THERE ARE   64 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      0.0000e+00 =    2 ** -999.00
    OCCURRED FOR X =     0.000000e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      0.0000e+00 =    2 **-999.00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF XSQ**1.5 VS XSQ*X


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     5.0000e-01,     1.0000e+00)


 X**1.5 WAS LARGER   340 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER  1660 TIMES.


 THERE ARE   64 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      2.2491e-19 =    2 **  -61.95
    OCCURRED FOR X =     5.654272e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.05


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      5.1759e-20 =    2 ** -64.07
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF XSQ**1.5 VS XSQ*X


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.0000e+00,   1.0596e+1644)


 X**1.5 WAS LARGER  1118 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER   882 TIMES.


 THERE ARE   64 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      7.6799e-16 =    2 **  -50.21
    OCCURRED FOR X =   7.441026e+1643
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  13.79


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      3.4536e-16 =    2 ** -51.36
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  12.64


1TEST OF X**Y VS XSQ**(Y/2)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE REGION
      X IN (     1.0000e-02,     1.0000e+01), Y IN (    -2.4660e+03,     2.4660e+03)


 X**Y  WAS LARGER   130 TIMES,
           AGREED     0 TIMES, AND
      WAS SMALLER  1870 TIMES.


 THERE ARE   64 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      3.0789e-16 =    2 **  -51.53
    OCCURRED FOR X =     9.863975e+00 Y =     2.394579e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  12.47


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      5.3524e-17 =    2 ** -54.05
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   9.95


1SPECIAL TESTS


 THE IDENTITY  X ** Y = (1/X) ** (-Y)  WILL BE TESTED.

        X              Y         (X**Y-(1/X)**(-Y)) / X**Y

  5.2814595e+00  8.1236423e+00       -1.2229411e-18

  7.0014634e+00  9.5800959e+00        0.0000000e+00

  5.6778828e+00  8.5402465e+00        0.0000000e+00

  4.2887455e+00  9.9252783e+00        0.0000000e+00

  7.1022715e+00  9.8336255e+00        0.0000000e+00

1TEST OF ERROR RETURNS


 ( 2.0000000e+00) ** (-1.6382000e+04) WILL BE COMPUTED.
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 THE VALUE RETURNED IS    3.3621e-4932



 ( 2.0000000e+00) ** ( 1.6383000e+04) WILL BE COMPUTED.
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 THE VALUE RETURNED IS    5.9487e+4931



 ( 0.0000000e+00) ** ( 2.0000000e+00) WILL BE COMPUTED.
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 THE VALUE RETURNED IS      0.0000e+00



 (-2.0000000e+00) ** ( 0.0000000e+00) WILL BE COMPUTED.
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 THE VALUE RETURNED IS      1.0000e+00



 (-2.0000000e+00) ** ( 2.0000000e+00) WILL BE COMPUTED.
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 THE VALUE RETURNED IS      4.0000e+00



 ( 0.0000000e+00) ** ( 0.0000000e+00) WILL BE COMPUTED.
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 THE VALUE RETURNED IS      1.0000e+00



 THIS CONCLUDES THE TESTS
1TEST OF SIN(X) VS 3*SIN(X/3)-4*SIN(X/3)**3

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     0.0000e+00,     1.5708e+00)


 SIN(X) WAS LARGER   427 TIMES,
            AGREED  1214 TIMES, AND
       WAS SMALLER   359 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.4007e-19 =    2 ** -62.63
    OCCURRED FOR X =     8.851632e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.37


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.3282e-20 =    2 ** -64.32
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF SIN(X) VS 3*SIN(X/3)-4*SIN(X/3)**3

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.8850e+01,     2.0420e+01)


 SIN(X) WAS LARGER   393 TIMES,
            AGREED  1234 TIMES, AND
       WAS SMALLER   373 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.3779e-19 =    2 ** -62.65
    OCCURRED FOR X =     1.925393e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.35


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.3416e-20 =    2 ** -64.32
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF COS(X) VS 4*COS(X/3)**3-3*COS(X/3)

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     2.1991e+01,     2.3562e+01)


 COS(X) WAS LARGER   396 TIMES,
            AGREED  1233 TIMES, AND
       WAS SMALLER   371 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.1391e-19 =    2 ** -62.93
    OCCURRED FOR X =     2.230287e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.07


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2498e-20 =    2 ** -64.35
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS

 IF  1.000000e+00 IS NOT ALMOST 1.0E0,    SIN HAS THE WRONG PERIOD.

 THE IDENTITY   SIN(-X) = -SIN(X)   WILL BE TESTED.
     X        F(X) + F(-X)
  1.7217084e+01  0.0000000e+00

  1.6990798e+01  0.0000000e+00

  2.0444621e+00  0.0000000e+00

  1.0726816e+01  0.0000000e+00

  1.5185599e+00  0.0000000e+00

 THE IDENTITY SIN(X) = X , X SMALL, WILL BE TESTED.
    X         X - F(X)

  3.7584769e-20  0.0000000e+00

  1.8792385e-20  0.0000000e+00

  9.3961923e-21  0.0000000e+00

  4.6980961e-21  0.0000000e+00

  2.3490481e-21  0.0000000e+00

 THE IDENTITY   COS(-X) = COS(X)   WILL BE TESTED.
        X         F(X) - F(-X)
  1.5317840e+01  0.0000000e+00

  4.8103123e+00  0.0000000e+00

  1.2258285e+01  0.0000000e+00

  4.8993895e+00  0.0000000e+00

  1.0551082e+01  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.


       SIN(2.482895e-3699) = 2.482895e-3699
 THE FOLLOWING THREE LINES ILLUSTRATE THE LOSS IN SIGNIFICANCE
 FOR LARGE ARGUMENTS.  THE ARGUMENTS ARE CONSECUTIVE.

       SIN( 4.294967e+09) =-4.619866e-01

       SIN( 4.294967e+09) =-4.619866e-01

       SIN( 4.294967e+09) =-4.619866e-01
1TEST OF ERROR RETURNS


 SIN WILL BE CALLED WITH THE ARGUMENT     1.8447e+19
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 SIN RETURNED THE VALUE     3.1282e-01



 THIS CONCLUDES THE TESTS
1TEST OF SINH(X) VS T.S. EXPANSION OF SINH(X)

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     0.0000e+00,     5.0000e-01)


 SINH(X) WAS LARGER   627 TIMES,
             AGREED  1169 TIMES, AND
        WAS SMALLER   204 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.5191e-19 =    2 ** -62.51
    OCCURRED FOR X =     3.496964e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.49


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.0806e-20 =    2 ** -64.09
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF COSH(X) VS T.S. EXPANSION OF COSH(X)

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     0.0000e+00,     5.0000e-01)


 COSH(X) WAS LARGER    51 TIMES,
             AGREED  1905 TIMES, AND
        WAS SMALLER    44 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.0740e-19 =    2 ** -63.01
    OCCURRED FOR X =     1.376680e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.1900e-20 =    2 ** -65.31
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF SINH(X) VS C*(SINH(X+1)+SINH(X-1))

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     3.0000e+00,     1.1357e+04)


 SINH(X) WAS LARGER   276 TIMES,
             AGREED  1248 TIMES, AND
        WAS SMALLER   476 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.0617e-18 =    2 ** -59.71
    OCCURRED FOR X =     2.492298e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   4.29


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.7321e-20 =    2 ** -63.92
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.08


1TEST OF COSH(X) VS C*(COSH(X+1)+COSH(X-1))

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     3.0000e+00,     1.1357e+04)


 COSH(X) WAS LARGER    13 TIMES,
             AGREED  1962 TIMES, AND
        WAS SMALLER    25 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.2102e-19 =    2 ** -62.84
    OCCURRED FOR X =     5.017286e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.16


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS            nan =    2 **    nan
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS

 THE IDENTITY  SINH(-X) = -SINH(X)  WILL BE TESTED.

        X            F(X) + F(-X)

  1.1583065e+00  0.0000000e+00

  2.2813473e-01  0.0000000e+00

  1.1318620e+00  0.0000000e+00

  2.0798908e+00  0.0000000e+00

  2.0435512e+00  0.0000000e+00

 THE IDENTITY SINH(X) = X , X SMALL, WILL BE TESTED.

        X         X - F(X)

  2.7621380e-20  0.0000000e+00

  1.3810690e-20  0.0000000e+00

  6.9053450e-21  0.0000000e+00

  3.4526725e-21  0.0000000e+00

  1.7263362e-21  0.0000000e+00

 THE IDENTITY  COSH(-X) = COSH(X)  WILL BE TESTED.

        X         F(X) - F(-X)

  1.5501503e+00  0.0000000e+00

  2.1310223e+00  0.0000000e+00

  7.2259239e-01  0.0000000e+00

  2.9556556e+00  0.0000000e+00

  2.6066530e+00  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

      SINH(2.482895e-3699) =2.482895e-3699

1TEST OF ERROR RETURNS


 SINH WILL BE CALLED WITH THE ARGUMENT     1.1357e+04
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 SINH RETURNED THE VALUE   6.7407e+4931



SINH WILL BE CALLED WITH THE ARGUMENT     1.8447e+19
 THIS SHOULD TRIGGER AN ERROR MESSAGE


SINH(): Numerical result out of range
 SINH RETURNED THE VALUE            inf



 THIS CONCLUDES THE TESTS

1TEST OF SQRT(X*X) - X


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
       (     7.0711e-01,     1.0000e+00)


 SQRT(X) WAS LARGER     0 TIMES,
             AGREED  2000 TIMES, AND
        WAS SMALLER     0 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     0.0000e+00 =    2 **-999.00
    OCCURRED FOR X =     0.000000e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     0.0000e+00 =    2 **-999.00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF SQRT(X*X) - X


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
       (     1.0000e+00,     1.4142e+00)


 SQRT(X) WAS LARGER     0 TIMES,
             AGREED  2000 TIMES, AND
        WAS SMALLER     0 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     0.0000e+00 =    2 **-999.00
    OCCURRED FOR X =     0.000000e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     0.0000e+00 =    2 **-999.00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF SPECIAL ARGUMENTS


 SQRT(XMIN) = SQRT(3.3621031e-4932) = 1.8336039e-2466


 SQRT(1-EPSNEG) = SQRT(1-  5.4210109e-20) =   1.0000000e-00


 SQRT(1.0) = SQRT(  1.0000000e+00) =   1.0000000e+00


 SQRT(1+EPS) = SQRT(1+  1.0842022e-19) =   1.0000000e+00


 SQRT(XMAX) = SQRT(1.1897315e+4932) = 1.0907481e+2466


1TEST OF ERROR RETURNS


 SQRT WILL BE CALLED WITH THE ARGUMENT      0.0000e+00
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 SQRT RETURNED THE VALUE      0.0000e+00



SQRT WILL BE CALLED WITH THE ARGUMENT     -1.0000e+00
 THIS SHOULD TRIGGER AN ERROR MESSAGE


SQRT(): Numerical argument out of domain
 SQRT RETURNED THE VALUE             nan



 THIS CONCLUDES THE TESTS
1TEST OF TAN(X) VS 2*TAN(X/2)/(1-TAN(X/2)**2)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     0.0000e+00,     7.8540e-01)


 TAN(X) WAS LARGER   494 TIMES,
            AGREED  1067 TIMES, AND
       WAS SMALLER   439 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.1469e-19 =    2 ** -62.01
    OCCURRED FOR X =     1.578001e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.5944e-20 =    2 ** -63.95
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.05


1TEST OF TAN(X) VS 2*TAN(X/2)/(1-TAN(X/2)**2)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     2.7489e+00,     3.5343e+00)


 TAN(X) WAS LARGER   389 TIMES,
            AGREED  1253 TIMES, AND
       WAS SMALLER   358 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.2388e-19 =    2 ** -62.81
    OCCURRED FOR X =     3.086946e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.19


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.8346e-20 =    2 ** -64.17
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF TAN(X) VS 2*TAN(X/2)/(1-TAN(X/2)**2)


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     1.8850e+01,     1.9635e+01)


 TAN(X) WAS LARGER   494 TIMES,
            AGREED  1084 TIMES, AND
       WAS SMALLER   422 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.9585e-19 =    2 ** -62.15
    OCCURRED FOR X =     1.898708e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.85


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.4806e-20 =    2 ** -63.98
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.02


1TEST OF COT(X) VS (COT(X/2)**2-1)/(2*COT(X/2))


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     1.8850e+01,     1.9635e+01)


 COT(X) WAS LARGER   516 TIMES,
            AGREED  1006 TIMES, AND
       WAS SMALLER   478 TIMES.


 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.2492e-19 =    2 ** -61.95
    OCCURRED FOR X =     1.945457e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.05


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.1306e-20 =    2 ** -63.82
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.18


1SPECIAL TESTS


 THE IDENTITY  TAN(-X) = -TAN(X)  WILL BE TESTED.

        X         F(X) + F(-X)

  7.2778541e+00  0.0000000e+00

  1.4334128e+00  0.0000000e+00

  7.1116989e+00  0.0000000e+00

  1.3068340e+01  0.0000000e+00

  1.2840011e+01  0.0000000e+00

 THE IDENTITY TAN(X) = X , X SMALL, WILL BE TESTED.

        X         X - F(X)

  2.7621380e-20  0.0000000e+00

  1.3810690e-20  0.0000000e+00

  6.9053450e-21  0.0000000e+00

  3.4526725e-21  0.0000000e+00

  1.7263362e-21  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       TAN(2.482895e-3699) =2.482895e-3699

 THE RELATIVE ERROR IN TAN(11) IS  3.2139672e-18 =    2 ** -58.11 WHERE

      TAN( 1.100000e+01) =-2.259508e+02

 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   5.89


1TEST OF ERROR RETURNS


 TAN WILL BE CALLED WITH THE ARGUMENT     4.2950e+09
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 TAN RETURNED THE VALUE     5.2091e-01




TAN WILL BE CALLED WITH THE ARGUMENT     1.8447e+19
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 TAN RETURNED THE VALUE    -3.2935e-01



 THIS CONCLUDES THE TESTS
1TEST OF TANH(X) VS (TANH(X-1/8)+TANH(1/8))/(1+TANH(X-1/8)TANH(1/8))

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.2500e-01,     5.4931e-01)


 TANH(X) WAS LARGER   796 TIMES,
             AGREED   747 TIMES, AND
        WAS SMALLER   457 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.4425e-19 =    2 ** -61.83
    OCCURRED FOR X =     4.770759e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.17


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.5651e-20 =    2 ** -63.52
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.48


1TEST OF TANH(X) VS (TANH(X-1/8)+TANH(1/8))/(1+TANH(X-1/8)TANH(1/8))

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     6.7431e-01,     2.3220e+01)


 TANH(X) WAS LARGER   590 TIMES,
             AGREED   813 TIMES, AND
        WAS SMALLER   597 TIMES.

 THERE ARE  64 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.7753e-19 =    2 ** -62.29
    OCCURRED FOR X =     7.100838e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.71


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.1580e-20 =    2 ** -64.07
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS

 THE IDENTITY   TANH(-X) = -TANH(X)   WILL BE TESTED.


        X         F(X) + F(-X)

  4.2383511e-01  0.0000000e+00

  1.2084995e-01  0.0000000e+00

  9.5811320e-01  0.0000000e+00

  1.0382294e-01  0.0000000e+00

  3.8038012e-02  0.0000000e+00

 THE IDENTITY TANH(X) = X , X SMALL, WILL BE TESTED.


        X         X - F(X)

  4.0010612e-20  0.0000000e+00

  2.0005306e-20  0.0000000e+00

  1.0002653e-20  0.0000000e+00

  5.0013265e-21  0.0000000e+00

  2.5006632e-21  0.0000000e+00

 THE IDENTITY TANH(X) = 1 , X LARGE, WILL BE TESTED.


        X         1 - F(X)

  2.3220431e+01  0.0000000e+00

  2.7220431e+01  0.0000000e+00

  3.1220431e+01  0.0000000e+00

  3.5220431e+01  0.0000000e+00

  3.9220431e+01  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       TANH(2.482895e-3699) =2.482895e-3699
 THE FUNCTION TANH WILL BE CALLED WITH THE ARGUMENT1.1897315e+4932
       TANH(1.189731e+4932) = 1.000000e+00
 THE FUNCTION TANH WILL BE CALLED WITH THE ARGUMENT3.3621031e-4932
       TANH(3.362103e-4932) =3.362103e-4932
 THE FUNCTION TANH WILL BE CALLED WITH THE ARGUMENT  0.0000000e+00
       TANH( 0.000000e+00) = 0.000000e+00
 THIS CONCLUDES THE TESTS
