Host        = sunfire.math.utah.edu
Command     = ./tallqp >>tallqp.lst-solaris-5.8-cc-g 2>&1
uname -a    = SunOS sunfire.math.utah.edu 5.8 Generic_108528-14 sun4u sparc SUNW,Sun-Fire-880 Solaris
Make flags  = -i NAME=solaris-5.8-cc-g CC=cc CFLAGS=-DIEEE -g  
Date        = Tue May 28 07:26:09 MDT 2002
----------------------------------------
 
ibeta............       2
it...............     113
irnd.............       5
ngrd.............       0
machep...........    -112
negep............    -113
iexp.............      15
minexp...........  -16382
maxexp...........   16384
eps..............     1.9259299443872358530559779425849273e-34
epsneg...........     9.6296497219361792652798897129246366e-35
xmin.............   3.3621031431120935062626778173217526e-4932
xmax.............   1.1897314953572317650857593266280070e+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 =     7.2760e-12


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


 THERE ARE 113 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 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  1576 TIMES, AND
        WAS SMALLER   424 TIMES.


 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.9200e-34 =    2 **-112.00
    OCCURRED FOR X =     7.782023e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.6332e-35 =    2 **-113.54
 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   875 TIMES, AND
          WAS SMALLER  1125 TIMES.


 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     5.1893e-34 =    2 **-110.57
    OCCURRED FOR X =     8.986854e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.43


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.3761e-34 =    2 **-112.49
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.51


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    60 TIMES,
             AGREED  1940 TIMES, AND
        WAS SMALLER     0 TIMES.


 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.9242e-34 =    2 **-112.00
    OCCURRED FOR X =     5.479025e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.4833e-35 =    2 **-114.96
 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)

  1.6927012e+01  0.0000000e+00

  1.6850494e+01  0.0000000e+00

  1.6383894e+01  0.0000000e+00

  1.6681105e+01  0.0000000e+00

  1.5295194e+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 RETURNED THE VALUE            NaN


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


 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   422 TIMES,
             AGREED  1165 TIMES, AND
        WAS SMALLER   413 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.4973e-34 =    2 **-111.63
    OCCURRED FOR X =     9.625091e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.37


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.9174e-35 =    2 **-113.11
 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   367 TIMES,
             AGREED  1266 TIMES, AND
        WAS SMALLER   367 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.3317e-34 =    2 **-111.72
    OCCURRED FOR X =    -8.109315e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.28


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.4508e-35 =    2 **-113.37
 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   364 TIMES,
             AGREED  1280 TIMES, AND
        WAS SMALLER   356 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.9887e-34 =    2 **-111.95
    OCCURRED FOR X =     8.240012e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.05


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.6721e-35 =    2 **-113.15
 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
      (     7.5000e-01,     1.0000e+00)


 ACOS(X) WAS LARGER   427 TIMES,
             AGREED  1120 TIMES, AND
        WAS SMALLER   453 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     3.7891e-34 =    2 **-111.02
    OCCURRED FOR X =     8.735841e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.98


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.0051e-34 =    2 **-112.94
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.06


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   407 TIMES,
             AGREED  1175 TIMES, AND
        WAS SMALLER   418 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.5922e-34 =    2 **-112.27
    OCCURRED FOR X =    -7.502503e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.73


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.3236e-35 =    2 **-113.05
 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)
 -5.6652790e-01  0.0000000e+00

 -4.0167077e-01  0.0000000e+00

 -7.7675762e-01  0.0000000e+00

 -9.2769624e-01  0.0000000e+00

 -2.5054690e-02  0.0000000e+00

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

        X         X - F(X)
  7.0607105e-35  0.0000000e+00

  3.5303552e-35  0.0000000e+00

  1.7651776e-35  0.0000000e+00

  8.8258881e-36  0.0000000e+00

  4.4129440e-36  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 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    41 TIMES,
             AGREED  1893 TIMES, AND
        WAS SMALLER    66 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.9221e-34 =    2 **-112.00
    OCCURRED FOR X =     7.828127e-03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.9234e-35 =    2 **-114.72
 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   268 TIMES,
             AGREED  1507 TIMES, AND
        WAS SMALLER   225 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.9256e-34 =    2 **-112.00
    OCCURRED FOR X =     1.256762e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.8540e-35 =    2 **-113.49
 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   249 TIMES,
             AGREED  1494 TIMES, AND
        WAS SMALLER   257 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.8376e-34 =    2 **-112.07
    OCCURRED FOR X =     2.681883e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.93


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.4991e-35 =    2 **-113.36
 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   134 TIMES,
             AGREED  1722 TIMES, AND
        WAS SMALLER   144 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.9170e-34 =    2 **-112.01
    OCCURRED FOR X =     5.493348e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.0067e-35 =    2 **-113.94
 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)

  4.8175293e+00  0.0000000e+00

  4.6262342e+00  0.0000000e+00

  3.4597345e+00  0.0000000e+00

  4.2027635e+00  0.0000000e+00

  7.3798469e-01  0.0000000e+00

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


        X         X - F(X)

  5.9631685e-35  0.0000000e+00

  2.9815842e-35  0.0000000e+00

  1.4907921e-35  0.0000000e+00

  7.4539606e-36  0.0000000e+00

  3.7269803e-36  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))
 -1.3160311e+00  8.0813875e-02  0.0000000e+00  3.1415927e+00

  1.9036551e+00  7.5721863e-01  0.0000000e+00 -3.1415927e+00

 -1.3386203e+00  4.8494512e-01  0.0000000e+00  3.1415927e+00

  9.6675600e-01  4.1605706e-01  0.0000000e+00 -3.1415927e+00

  8.8564171e-01  5.1107663e-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   248 TIMES,
              AGREED  1466 TIMES, AND
         WAS SMALLER   286 TIMES.


 THERE ARE  113 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.9251e-34 =    2 **-112.00
    OCCURRED FOR X =     6.290551e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.1780e-35 =    2 **-113.42
 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,    -1.1275e+04)


 EXP(X-V) WAS LARGER   250 TIMES,
              AGREED  1513 TIMES, AND
         WAS SMALLER   237 TIMES.


 THERE ARE  113 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.9178e-34 =    2 **-112.01
    OCCURRED FOR X =    -6.081629e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.9570e-35 =    2 **-113.47
 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   239 TIMES,
              AGREED  1503 TIMES, AND
         WAS SMALLER   258 TIMES.


 THERE ARE  113 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.9257e-34 =    2 **-112.00
    OCCURRED FOR X =     3.298034e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.0079e-35 =    2 **-113.46
 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

  5.5969256e-01  0.0000000e+00

  6.6046707e-02  0.0000000e+00

  3.0403658e-01  0.0000000e+00

  9.1676463e-01  0.0000000e+00

  9.8649347e-01  0.0000000e+00



 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 RETURNED THE VALUE     0.0000e+00



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


 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  113 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   132 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER  1868 TIMES.


 THERE ARE  113 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      1.9160e-34 =    2 ** -112.01
    OCCURRED FOR X =     5.008580e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      4.7576e-35 =    2 **-114.02
 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   142 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER  1858 TIMES.


 THERE ARE  113 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      1.9125e-34 =    2 ** -112.01
    OCCURRED FOR X =   1.327611e+1643
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      5.0698e-35 =    2 **-113.93
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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  1015 TIMES,
           AGREED     0 TIMES, AND
      WAS SMALLER   985 TIMES.


 THERE ARE  113 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      1.1483e-31 =    2 ** -102.78
    OCCURRED FOR X =     1.418526e+00 Y =     2.448851e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  10.22


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      2.9542e-32 =    2 **-104.74
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   8.26


1SPECIAL TESTS


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

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

  6.6652790e+00  5.0167077e+00       -1.1619159e-34

  8.7675762e+00  1.0276962e+01       -1.6891284e-34

  1.2505469e+00  8.3322609e+00       -2.3914872e-34

  6.3057557e+00  3.2057483e+00       -2.6924922e-34

  8.3580924e+00  4.5756310e+00       -1.9047514e-34

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   367 TIMES,
            AGREED  1231 TIMES, AND
       WAS SMALLER   402 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.3513e-34 =    2 **-111.71
    OCCURRED FOR X =     5.121568e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.29


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.6754e-35 =    2 **-113.33
 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   337 TIMES,
            AGREED  1263 TIMES, AND
       WAS SMALLER   400 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.1789e-34 =    2 **-111.82
    OCCURRED FOR X =     1.930732e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.18


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.5608e-35 =    2 **-113.35
 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)

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


 COS(X) WAS LARGER   370 TIMES,
            AGREED  1261 TIMES, AND
       WAS SMALLER   369 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.2758e-34 =    2 **-111.76
    OCCURRED FOR X =     2.312504e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.24


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.4864e-35 =    2 **-113.36
 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)
  5.2749781e+00  0.0000000e+00

  6.2247555e-01  0.0000000e+00

  2.8654773e+00  0.0000000e+00

  8.6403031e+00  0.0000000e+00

  9.2974819e+00  0.0000000e+00

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

  1.4372896e-35  0.0000000e+00

  7.1864482e-36  0.0000000e+00

  3.5932241e-36  0.0000000e+00

  1.7966121e-36  0.0000000e+00

  8.9830603e-37  0.0000000e+00

 THE IDENTITY   COS(-X) = COS(X)   WILL BE TESTED.
        X         F(X) - F(-X)
  3.8150525e+00  0.0000000e+00

  1.1330713e+01  0.0000000e+00

  1.4910932e+01  0.0000000e+00

  1.2089636e+01  0.0000000e+00

  1.1860458e+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( 1.019048e+17) = 9.999542e-01

       SIN( 1.019048e+17) = 9.999542e-01

       SIN( 1.019048e+17) = 9.999542e-01
1TEST OF ERROR RETURNS


 SIN WILL BE CALLED WITH THE ARGUMENT     1.0385e+34
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 SIN RETURNED THE VALUE     4.0801e-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   329 TIMES,
             AGREED  1326 TIMES, AND
        WAS SMALLER   345 TIMES.


 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.9238e-34 =    2 **-112.00
    OCCURRED FOR X =     2.477340e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.8489e-35 =    2 **-113.29
 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    38 TIMES,
             AGREED  1911 TIMES, AND
        WAS SMALLER    51 TIMES.


 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.9059e-34 =    2 **-112.02
    OCCURRED FOR X =     1.447853e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.98


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     3.7581e-35 =    2 **-114.36
 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   519 TIMES,
             AGREED  1262 TIMES, AND
        WAS SMALLER   219 TIMES.


 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.4910e-34 =    2 **-111.63
    OCCURRED FOR X =     8.228786e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.37


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.2751e-35 =    2 **-113.22
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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   482 TIMES,
             AGREED  1303 TIMES, AND
        WAS SMALLER   215 TIMES.


 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.6009e-34 =    2 **-111.57
    OCCURRED FOR X =     9.467397e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.43


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.2175e-35 =    2 **-113.23
 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)

  2.8905176e+00  0.0000000e+00

  2.7757405e+00  0.0000000e+00

  2.0758407e+00  0.0000000e+00

  2.5216581e+00  0.0000000e+00

  4.4279082e-01  0.0000000e+00

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

        X         X - F(X)

  5.9631685e-35  0.0000000e+00

  2.9815842e-35  0.0000000e+00

  1.4907921e-35  0.0000000e+00

  7.4539606e-36  0.0000000e+00

  3.7269803e-36  0.0000000e+00

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

        X         F(X) - F(-X)

  5.1297671e-01  0.0000000e+00

  2.4244163e-01  0.0000000e+00

  2.9277413e+00  0.0000000e+00

  2.2716559e+00  0.0000000e+00

  4.9603481e-01  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     1.0385e+34
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 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 113 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 113 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-  9.6296497e-35) =   1.0000000e+00


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


 SQRT(1+EPS) = SQRT(1+  1.9259299e-34) =   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 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   461 TIMES,
            AGREED  1117 TIMES, AND
       WAS SMALLER   422 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     3.7943e-34 =    2 **-111.02
    OCCURRED FOR X =     6.336321e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.98


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.3916e-35 =    2 **-113.04
 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
    (     2.7489e+00,     3.5343e+00)


 TAN(X) WAS LARGER   476 TIMES,
            AGREED  1092 TIMES, AND
       WAS SMALLER   432 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     3.7727e-34 =    2 **-111.03
    OCCURRED FOR X =     3.391503e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.97


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.9258e-35 =    2 **-112.96
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.04


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   464 TIMES,
            AGREED  1062 TIMES, AND
       WAS SMALLER   474 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     3.5496e-34 =    2 **-111.12
    OCCURRED FOR X =     1.885803e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.88


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.8558e-35 =    2 **-112.97
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.03


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   468 TIMES,
            AGREED   987 TIMES, AND
       WAS SMALLER   545 TIMES.


 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     3.7544e-34 =    2 **-111.04
    OCCURRED FOR X =     1.942579e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.96


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.1268e-34 =    2 **-112.77
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.23


1SPECIAL TESTS


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

        X         F(X) + F(-X)

  1.8161658e+01  0.0000000e+00

  1.7440492e+01  0.0000000e+00

  1.3042892e+01  0.0000000e+00

  1.5844045e+01  0.0000000e+00

  2.7821367e+00  0.0000000e+00

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

        X         X - F(X)

  5.9631685e-35  0.0000000e+00

  2.9815842e-35  0.0000000e+00

  1.4907921e-35  0.0000000e+00

  7.4539606e-36  0.0000000e+00

  3.7269803e-36  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

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

 THE RELATIVE ERROR IN TAN(11) IS  5.9665674e-35 =    2 **-113.69 WHERE

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

 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF ERROR RETURNS


 TAN WILL BE CALLED WITH THE ARGUMENT     7.2058e+16
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 TAN RETURNED THE VALUE    -3.7955e+00




TAN WILL BE CALLED WITH THE ARGUMENT     1.0385e+34
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 TAN RETURNED THE VALUE    -4.4690e-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   610 TIMES,
             AGREED   834 TIMES, AND
        WAS SMALLER   556 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     4.8649e-34 =    2 **-110.66
    OCCURRED FOR X =     5.424721e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.34


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.2461e-34 =    2 **-112.63
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.37


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,     4.0203e+01)


 TANH(X) WAS LARGER   564 TIMES,
             AGREED   828 TIMES, AND
        WAS SMALLER   608 TIMES.

 THERE ARE 113 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.7098e-34 =    2 **-111.51
    OCCURRED FOR X =     8.886463e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.49


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.9285e-35 =    2 **-113.11
 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)

  4.9165887e-01  0.0000000e+00

  1.7378602e-01  0.0000000e+00

  3.7008794e-01  0.0000000e+00

  2.7005371e-01  0.0000000e+00

  6.1325663e-02  0.0000000e+00

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


        X         X - F(X)

  4.2742072e-35  0.0000000e+00

  2.1371036e-35  0.0000000e+00

  1.0685518e-35  0.0000000e+00

  5.3427590e-36  0.0000000e+00

  2.6713795e-36  0.0000000e+00

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


        X         1 - F(X)

  4.0202536e+01  0.0000000e+00

  4.4202536e+01  0.0000000e+00

  4.8202536e+01  0.0000000e+00

  5.2202536e+01  0.0000000e+00

  5.6202536e+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
