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)


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (1-EPS,1+EPS), WHERE EPS =     4.7684e-07


 ALOG(X) WAS LARGER 69049 TIMES,
             AGREED1862193 TIMES, AND
        WAS SMALLER 68758 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.0842e-19 =    2 ** -63.00
    OCCURRED FOR X =     9.999999e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.9601e-20 =    2 ** -65.47
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     7.0711e-01,     9.3750e-01)


 ALOG(X) WAS LARGER     0 TIMES,
             AGREED1557325 TIMES, AND
        WAS SMALLER442675 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.0842e-19 =    2 ** -63.00
    OCCURRED FOR X =     8.824967e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     3.9809e-20 =    2 ** -64.45
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     3.1623e-01,     9.0000e-01)


 ALOG10(X) WAS LARGER     0 TIMES,
               AGREED881526 TIMES, AND
          WAS SMALLER1118474 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     2.9607e-19 =    2 ** -61.55
    OCCURRED FOR X =     8.999651e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.45


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.3488e-20 =    2 ** -63.56
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.44


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


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.6000e+01,     2.4000e+02)


 ALOG(X) WAS LARGER 52749 TIMES,
             AGREED1947251 TIMES, AND
        WAS SMALLER     0 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.0842e-19 =    2 ** -63.00
    OCCURRED FOR X =     5.460283e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.3329e-20 =    2 ** -66.02
 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)

  1.6361593e+01  0.0000000e+00

  1.5351286e+01  0.0000000e+00

  1.6158484e+01  0.0000000e+00

  1.6722692e+01  0.0000000e+00

  1.5547363e+01  2.1684043e-19



 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

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -1.2500e-01,     1.2500e-01)


 ASIN(X) WAS LARGER492028 TIMES,
             AGREED1029075 TIMES, AND
        WAS SMALLER478897 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.0842e-19 =    2 ** -63.00
    OCCURRED FOR X =     1.246747e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.3550e-20 =    2 ** -64.02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF ACOS(X) VS TAYLOR SERIES

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -1.2500e-01,     1.2500e-01)


 ACOS(X) WAS LARGER456554 TIMES,
             AGREED1049399 TIMES, AND
        WAS SMALLER494047 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     7.5007e-20 =    2 ** -63.53
    OCCURRED FOR X =     1.249999e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.47


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.7743e-20 =    2 ** -64.18
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF ASIN(X) VS TAYLOR SERIES

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     7.5000e-01,     1.0000e+00)


 ASIN(X) WAS LARGER  1386 TIMES,
             AGREED739933 TIMES, AND
        WAS SMALLER1258681 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     2.0352e-19 =    2 ** -62.09
    OCCURRED FOR X =     8.750058e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.91


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.7068e-20 =    2 ** -63.69
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.31


1TEST OF ACOS(X) VS TAYLOR SERIES

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     7.5000e-01,     1.0000e+00)


 ACOS(X) WAS LARGER565484 TIMES,
             AGREED860264 TIMES, AND
        WAS SMALLER574252 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     2.6761e-14 =    2 ** -45.09
    OCCURRED FOR X =     9.999999e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  18.91


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.6679e-17 =    2 ** -55.06
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   8.94


1TEST OF ACOS(X) VS TAYLOR SERIES

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -1.0000e+00,    -7.5000e-01)


 ACOS(X) WAS LARGER383634 TIMES,
             AGREED1216980 TIMES, AND
        WAS SMALLER399386 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     6.4202e-18 =    2 ** -57.11
    OCCURRED FOR X =    -9.999999e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   6.89


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.2413e-20 =    2 ** -64.05
 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)
 -4.9287909e-01  0.0000000e+00

 -9.4682790e-01  0.0000000e+00

 -1.0590433e-02  0.0000000e+00

 -8.8572361e-01  0.0000000e+00

 -3.7344678e-01  0.0000000e+00

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

        X         X - F(X)
  3.7906284e-20  0.0000000e+00

  1.8953142e-20  0.0000000e+00

  9.4765710e-21  0.0000000e+00

  4.7382855e-21  0.0000000e+00

  2.3691427e-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

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -6.2500e-02,     6.2500e-02)


 ATAN(X) WAS LARGER   328 TIMES,
             AGREED1980839 TIMES, AND
        WAS SMALLER 18833 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.0800e-19 =    2 ** -63.01
    OCCURRED FOR X =    -3.138191e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.1511e-21 =    2 ** -67.14
 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))

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     6.2500e-02,     2.6795e-01)


 ATAN(X) WAS LARGER212850 TIMES,
             AGREED1447101 TIMES, AND
        WAS SMALLER340049 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.4462e-19 =    2 ** -62.58
    OCCURRED FOR X =     1.896451e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.42


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.0725e-20 =    2 ** -64.41
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     2.6795e-01,     4.1421e-01)


 ATAN(X) WAS LARGER245067 TIMES,
             AGREED1461108 TIMES, AND
        WAS SMALLER293825 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.0353e-19 =    2 ** -63.07
    OCCURRED FOR X =     2.679503e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.93


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.3642e-20 =    2 ** -64.31
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     4.1421e-01,     1.0000e+00)


 ATAN(X) WAS LARGER130532 TIMES,
             AGREED1729124 TIMES, AND
        WAS SMALLER140344 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.3802e-19 =    2 ** -62.65
    OCCURRED FOR X =     4.143047e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.35


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.8029e-20 =    2 ** -64.95
 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)

  3.4039821e+00  0.0000000e+00

  8.7821414e-01  0.0000000e+00

  2.8962096e+00  0.0000000e+00

  4.3067295e+00  0.0000000e+00

  1.3684074e+00  0.0000000e+00

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


        X         X - F(X)

  3.9259112e-20  0.0000000e+00

  1.9629556e-20  0.0000000e+00

  9.8147779e-21  0.0000000e+00

  4.9073890e-21  0.0000000e+00

  2.4536945e-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))
  2.1770737e-01  8.2036426e-01  0.0000000e+00 -3.1415927e+00

  9.4327558e-01  7.6754907e-01 -5.4210109e-20 -3.1415927e+00

  4.1763706e-01  7.1107498e-01 -5.4210109e-20 -3.1415927e+00

  8.4511533e-01  2.5542709e-01  0.0000000e+00 -3.1415927e+00

  1.2058660e+00  4.5883221e-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)


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -2.8407e-01,     3.4657e-01)


 EXP(X-V) WAS LARGER283363 TIMES,
              AGREED1440015 TIMES, AND
         WAS SMALLER276622 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.5326e-19 =    2 ** -62.50
    OCCURRED FOR X =    -2.836246e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.50


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.1182e-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)


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -3.4657e+00,    -1.1309e+04)


 EXP(X-V) WAS LARGER284653 TIMES,
              AGREED1423111 TIMES, AND
         WAS SMALLER292236 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.6953e-19 =    2 ** -62.36
    OCCURRED FOR X =    -7.654831e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.64


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2121e-20 =    2 ** -64.36
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     6.9315e+00,     1.1356e+04)


 EXP(X-V) WAS LARGER285331 TIMES,
              AGREED1422799 TIMES, AND
         WAS SMALLER291870 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.8038e-19 =    2 ** -62.27
    OCCURRED FOR X =     8.271486e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.73


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2145e-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

  7.6317066e-02  0.0000000e+00

  1.4142993e+00 -5.4210109e-20

  1.7924829e+00  0.0000000e+00

  5.7070251e-02 -5.4210109e-20

  1.3189386e-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


2000000 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 SMALLER2000000 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


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     5.0000e-01,     1.0000e+00)


 X**1.5 WAS LARGER307286 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER1692714 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF      2.5387e-19 =    2 **  -61.77
    OCCURRED FOR X =     5.430546e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.23


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      5.0353e-20 =    2 ** -64.11
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF XSQ**1.5 VS XSQ*X


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.0000e+00,   1.0596e+1644)


 X**1.5 WAS LARGER1124934 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER875066 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF      7.6958e-16 =    2 **  -50.21
    OCCURRED FOR X =   9.133902e+1642
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  13.79


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      3.4513e-16 =    2 ** -51.36
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  12.64


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


 2000000 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 LARGER125551 TIMES,
           AGREED     0 TIMES, AND
      WAS SMALLER1874449 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF      1.2313e-15 =    2 **  -49.53
    OCCURRED FOR X =     3.191222e-02 Y =     2.393893e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  14.47


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      5.1131e-17 =    2 ** -54.12
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   9.88


1SPECIAL TESTS


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

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

  5.9287909e+00  1.0468279e+01        0.0000000e+00

  1.1059043e+00  9.8572361e+00        0.0000000e+00

  4.7344678e+00  7.9924752e+00        0.0000000e+00

  5.1290815e+00  2.3154124e+00        0.0000000e+00

  7.8146805e+00  2.3688920e+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

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     0.0000e+00,     1.5708e+00)


 SIN(X) WAS LARGER401182 TIMES,
            AGREED1248643 TIMES, AND
       WAS SMALLER350175 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.5750e-19 =    2 ** -62.46
    OCCURRED FOR X =     7.592452e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.54


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2387e-20 =    2 ** -64.35
 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

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.8850e+01,     2.0420e+01)


 SIN(X) WAS LARGER402077 TIMES,
            AGREED1246971 TIMES, AND
       WAS SMALLER350952 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.5751e-19 =    2 ** -62.46
    OCCURRED FOR X =     1.960875e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.54


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2452e-20 =    2 ** -64.35
 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)

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     2.1991e+01,     2.3562e+01)


 COS(X) WAS LARGER401432 TIMES,
            AGREED1248226 TIMES, AND
       WAS SMALLER350342 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.5766e-19 =    2 ** -62.46
    OCCURRED FOR X =     2.280366e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.54


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2406e-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)
  7.1927140e-01  0.0000000e+00

  1.3329457e+01  0.0000000e+00

  1.6893753e+01  0.0000000e+00

  5.3787444e-01  0.0000000e+00

  1.2430703e+00  0.0000000e+00

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

  2.1730026e-20  0.0000000e+00

  1.0865013e-20  0.0000000e+00

  5.4325064e-21  0.0000000e+00

  2.7162532e-21  0.0000000e+00

  1.3581266e-21  0.0000000e+00

 THE IDENTITY   COS(-X) = COS(X)   WILL BE TESTED.
        X         F(X) - F(-X)
  6.9846152e+00  0.0000000e+00

  1.2331454e+01  0.0000000e+00

  1.4001588e+00  0.0000000e+00

  1.5865718e+01  0.0000000e+00

  1.0534816e+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)

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     0.0000e+00,     5.0000e-01)


 SINH(X) WAS LARGER628357 TIMES,
             AGREED1172022 TIMES, AND
        WAS SMALLER199621 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     2.1681e-19 =    2 ** -62.00
    OCCURRED FOR X =     4.812651e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.0597e-20 =    2 ** -64.10
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     0.0000e+00,     5.0000e-01)


 COSH(X) WAS LARGER 50566 TIMES,
             AGREED1908730 TIMES, AND
        WAS SMALLER 40704 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.0841e-19 =    2 ** -63.00
    OCCURRED FOR X =     1.107649e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.1448e-20 =    2 ** -65.34
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     3.0000e+00,     1.1357e+04)


 SINH(X) WAS LARGER261803 TIMES,
             AGREED1255835 TIMES, AND
        WAS SMALLER482362 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     2.1112e-18 =    2 ** -58.72
    OCCURRED FOR X =     2.225622e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   5.28


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.1690e-20 =    2 ** -64.07
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     3.0000e+00,     1.1357e+04)


 COSH(X) WAS LARGER 16596 TIMES,
             AGREED1952839 TIMES, AND
        WAS SMALLER 30565 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF            inf =    2 **    inf
    OCCURRED FOR X =     7.094761e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS    inf


 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)

  2.0423893e+00  0.0000000e+00

  5.2692849e-01  0.0000000e+00

  1.7377258e+00  0.0000000e+00

  2.5840377e+00  0.0000000e+00

  8.2104447e-01  0.0000000e+00

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

        X         X - F(X)

  3.9259112e-20  0.0000000e+00

  1.9629556e-20  0.0000000e+00

  9.8147779e-21  0.0000000e+00

  4.9073890e-21  0.0000000e+00

  2.4536945e-21  0.0000000e+00

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

        X         F(X) - F(-X)

  1.6632805e+00  0.0000000e+00

  2.4610928e+00  0.0000000e+00

  2.2074567e+00  0.0000000e+00

  2.3026472e+00  0.0000000e+00

  1.8132278e+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


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
       (     7.0711e-01,     1.0000e+00)


 SQRT(X) WAS LARGER     0 TIMES,
             AGREED2000000 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


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
       (     1.0000e+00,     1.4142e+00)


 SQRT(X) WAS LARGER     0 TIMES,
             AGREED2000000 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)


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     0.0000e+00,     7.8540e-01)


 TAN(X) WAS LARGER468478 TIMES,
            AGREED1098555 TIMES, AND
       WAS SMALLER432967 TIMES.

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


 THE MAXIMUM RELATIVE ERROR OF     2.6276e-19 =    2 ** -61.72
    OCCURRED FOR X =     7.721401e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.28


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.5037e-20 =    2 ** -63.98
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.02


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


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     2.7489e+00,     3.5343e+00)


 TAN(X) WAS LARGER373335 TIMES,
            AGREED1256900 TIMES, AND
       WAS SMALLER369765 TIMES.

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


 THE MAXIMUM RELATIVE ERROR OF     2.1128e-19 =    2 ** -62.04
    OCCURRED FOR X =     3.077534e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.96


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.7864e-20 =    2 ** -64.18
 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)


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     1.8850e+01,     1.9635e+01)


 TAN(X) WAS LARGER467907 TIMES,
            AGREED1099498 TIMES, AND
       WAS SMALLER432595 TIMES.

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


 THE MAXIMUM RELATIVE ERROR OF     2.5749e-19 =    2 ** -61.75
    OCCURRED FOR X =     1.885942e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.25


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.5025e-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))


2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     1.8850e+01,     1.9635e+01)


 COT(X) WAS LARGER476906 TIMES,
            AGREED1014613 TIMES, AND
       WAS SMALLER508481 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     2.8401e-19 =    2 ** -61.61
    OCCURRED FOR X =     1.942936e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.39


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.1952e-20 =    2 ** -63.81
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.19


1SPECIAL TESTS


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

        X         F(X) + F(-X)

  1.2832710e+01  0.0000000e+00

  3.3107893e+00  0.0000000e+00

  1.0918453e+01  0.0000000e+00

  1.6235988e+01  0.0000000e+00

  5.1587745e+00  0.0000000e+00

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

        X         X - F(X)

  3.9259112e-20  0.0000000e+00

  1.9629556e-20  0.0000000e+00

  9.8147779e-21  0.0000000e+00

  4.9073890e-21  0.0000000e+00

  2.4536945e-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))

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.2500e-01,     5.4931e-01)


 TANH(X) WAS LARGER770040 TIMES,
             AGREED769421 TIMES, AND
        WAS SMALLER460539 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     3.2520e-19 =    2 ** -61.42
    OCCURRED FOR X =     3.466401e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.58


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.5373e-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))

2000000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     6.7431e-01,     2.3220e+01)


 TANH(X) WAS LARGER593961 TIMES,
             AGREED814236 TIMES, AND
        WAS SMALLER591803 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     3.0056e-19 =    2 ** -61.53
    OCCURRED FOR X =     9.106825e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.47


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.1669e-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)

  9.5189727e-01  0.0000000e+00

  2.5322482e-01  0.0000000e+00

  7.0170335e-01  0.0000000e+00

  3.5267325e-01  0.0000000e+00

  7.0461587e-01  0.0000000e+00

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


        X         X - F(X)

  2.9071066e-21  0.0000000e+00

  1.4535533e-21  0.0000000e+00

  7.2677665e-22  0.0000000e+00

  3.6338833e-22  0.0000000e+00

  1.8169416e-22  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
