Host        = eilat.math.utah.edu
Command     = ./tallqp >>tallqp.lst-sgi-irix-CC-g 2>&1
uname -a    = IRIX64 eilat 6.5 04151556 IP27 mips unknown Irix
Make flags  = -i NAME=sgi-irix-CC-g CC=CC CFLAGS=-g  
Date        = Tue May 28 13:43:30 MDT 2002
----------------------------------------
 
ibeta............       2
it...............     107
irnd.............       5
ngrd.............       0
machep...........    -106
negep............    -107
iexp.............      11
minexp...........    -916
maxexp...........    1129
eps..............     1.2325951644078309459558258832543530e-32
epsneg...........     6.1629758220391547297791294162717670e-33
xmin.............    1.8051943758648295760692620811737470e-276
xmax.............                                          inf
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 =     2.9104e-11


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


 THERE ARE 107 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  1282 TIMES, AND
        WAS SMALLER   718 TIMES.


 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.1520e-32 =    2 **-105.20
    OCCURRED FOR X =     7.509735e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.80


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.2380e-33 =    2 **-106.98
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.02


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   713 TIMES, AND
          WAS SMALLER  1287 TIMES.


 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     3.4172e-32 =    2 **-104.53
    OCCURRED FOR X =     8.782948e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.47


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.0141e-32 =    2 **-106.28
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.72


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   189 TIMES,
             AGREED  1811 TIMES, AND
        WAS SMALLER     0 TIMES.


 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.4978e-32 =    2 **-105.72
    OCCURRED FOR X =     2.689064e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.28


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.7750e-33 =    2 **-108.15
 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  2.4651903e-32



 TEST OF SPECIAL ARGUMENTS


 ALOG(1.0) =   0.0000000e+00


 ALOG(XMIN) = ALOG( 1.8051944e-276) =  -6.3492282e+02


 ALOG(XMAX) = ALOG(            inf) =             inf


1TEST OF ERROR RETURNS


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


ALOG(): Domain error
 ALOG RETURNED THE VALUE            nan


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


ALOG(): Result too large
 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   478 TIMES,
             AGREED   839 TIMES, AND
        WAS SMALLER   683 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     4.0311e-32 =    2 **-104.29
    OCCURRED FOR X =    -3.821215e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.71


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.3891e-33 =    2 **-106.56
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.44


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   456 TIMES,
             AGREED  1084 TIMES, AND
        WAS SMALLER   460 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.6772e-32 =    2 **-105.56
    OCCURRED FOR X =     1.008154e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.44


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.6181e-33 =    2 **-107.13
 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   439 TIMES,
             AGREED  1178 TIMES, AND
        WAS SMALLER   383 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.1604e-32 =    2 **-105.19
    OCCURRED FOR X =     7.551047e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.81


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.1061e-33 =    2 **-107.01
 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   598 TIMES,
             AGREED   778 TIMES, AND
        WAS SMALLER   624 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     4.7704e-32 =    2 **-104.05
    OCCURRED FOR X =     9.916662e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.95


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.9057e-33 =    2 **-106.32
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.68


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   343 TIMES,
             AGREED  1340 TIMES, AND
        WAS SMALLER   317 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.9298e-32 =    2 **-105.35
    OCCURRED FOR X =    -8.327389e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.65


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.3681e-33 =    2 **-107.20
 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)
  4.5188547e-33  0.0000000e+00

  2.2594273e-33  0.0000000e+00

  1.1297137e-33  0.0000000e+00

  5.6485684e-34  0.0000000e+00

  2.8242842e-34  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       ASIN(1.557374e-207) =1.557374e-207

1TEST OF ERROR RETURNS


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


asin(): Domain error
 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   191 TIMES,
             AGREED  1488 TIMES, AND
        WAS SMALLER   321 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.5254e-32 =    2 **-104.97
    OCCURRED FOR X =     2.859899e-03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.03


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.3251e-33 =    2 **-107.51
 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   720 TIMES,
             AGREED   986 TIMES, AND
        WAS SMALLER   294 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     3.6346e-32 =    2 **-104.44
    OCCURRED FOR X =     2.599738e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.56


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.2460e-33 =    2 **-106.58
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.42


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   615 TIMES,
             AGREED   932 TIMES, AND
        WAS SMALLER   453 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     4.7032e-32 =    2 **-104.07
    OCCURRED FOR X =     2.682462e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.93


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.0540e-33 =    2 **-106.45
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.55


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   276 TIMES,
             AGREED  1263 TIMES, AND
        WAS SMALLER   461 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.4522e-32 =    2 **-105.01
    OCCURRED FOR X =     5.497516e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.9176e-33 =    2 **-107.06
 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)

  3.8164278e-33  0.0000000e+00

  1.9082139e-33  0.0000000e+00

  9.5410696e-34  0.0000000e+00

  4.7705348e-34  0.0000000e+00

  2.3852674e-34  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  1.2325952e-32 -3.1415927e+00

  8.8564171e-01  5.1107663e-01  0.0000000e+00 -3.1415927e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       ATAN(1.557374e-207) =1.557374e-207
1TEST OF ERROR RETURNS


 ATAN WILL BE CALLED WITH THE ARGUMENT            inf
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


       ATAN(          inf) = 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
 1.8051944e-276            inf

 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


       ATAN2(1.805194e-276          inf) = 0.000000e+00
 ATAN2 WILL BE CALLED WITH THE ARGUMENTS
            inf 1.8051944e-276

 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


       ATAN2(          inf1.805194e-276) = 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   425 TIMES,
              AGREED  1164 TIMES, AND
         WAS SMALLER   411 TIMES.


 THERE ARE  107 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.3468e-32 =    2 **-105.07
    OCCURRED FOR X =     1.117319e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.93


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.2163e-33 =    2 **-106.99
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.01


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


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -3.4657e+00,    -5.5937e+02)


 EXP(X-V) WAS LARGER   404 TIMES,
              AGREED  1176 TIMES, AND
         WAS SMALLER   420 TIMES.


 THERE ARE  107 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.4560e-32 =    2 **-105.01
    OCCURRED FOR X =    -1.198708e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.3403e-33 =    2 **-106.96
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.04


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


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


 EXP(X-V) WAS LARGER     0 TIMES,
              AGREED  2000 TIMES, AND
         WAS SMALLER     0 TIMES.


 THERE ARE  107 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            nan =    2 **nan0x10000000
 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 -1.2325952e-32

  9.1676463e-01 -6.1629758e-33

  9.8649347e-01  1.2325952e-32



 TEST OF SPECIAL ARGUMENTS


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

 EXP(-6.340000e+02) =4.542537e-276

 EXP( 2.147484e+09) =          inf

 IF EXP( 1.073742e+09) =           inf IS NOT ABOUT
 EXP( 5.368709e+08)**2 =          inf THERE IS AN ARG RED ERROR
1TEST OF ERROR RETURNS


 EXP WILL BE CALLED WITH THE ARGUMENT   -7.4428e+137
 THIS SHOULD TRIGGER AN ERROR MESSAGE


EXP(): Result too large
 EXP RETURNED THE VALUE     0.0000e+00



 EXP WILL BE CALLED WITH THE ARGUMENT    7.4428e+137
 THIS SHOULD TRIGGER AN ERROR MESSAGE


EXP(): Result too large
 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  107 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   515 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER  1485 TIMES.


 THERE ARE  107 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      2.4803e-32 =    2 ** -104.99
    OCCURRED FOR X =     7.196547e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.01


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      6.9715e-33 =    2 **-106.82
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.18


1TEST OF XSQ**1.5 VS XSQ*X


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


 X**1.5 WAS LARGER     0 TIMES,
            AGREED  2000 TIMES, AND
       WAS SMALLER     0 TIMES.


 THERE ARE  107 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             nan =    2 **nan0x10000000
 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 (           -inf,            nan)


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


 THERE ARE  107 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 Y =     0.000000e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS             nan =    2 **nan0x10000000
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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        1.4872524e-32

  8.7675762e+00  1.0276962e+01        4.3241687e-32

  1.2505469e+00  8.3322609e+00       -4.5916554e-32

  6.3057557e+00  3.2057483e+00        8.6159752e-33

  8.3580924e+00  4.5756310e+00       -3.6571228e-32

1TEST OF ERROR RETURNS


 ( 2.0000000e+00) ** (-9.1600000e+02) WILL BE COMPUTED.
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 THE VALUE RETURNED IS     1.8052e-276



 ( 2.0000000e+00) ** ( 1.1280000e+03) WILL BE COMPUTED.
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


POW(): Domain error
 THE VALUE RETURNED IS             inf



 ( 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   612 TIMES,
            AGREED   806 TIMES, AND
       WAS SMALLER   582 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     3.2787e-32 =    2 **-104.59
    OCCURRED FOR X =     8.509163e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.41


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.6303e-33 =    2 **-106.51
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.49


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   564 TIMES,
            AGREED   784 TIMES, AND
       WAS SMALLER   652 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     3.3060e-32 =    2 **-104.58
    OCCURRED FOR X =     1.913296e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.42


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.9421e-33 =    2 **-106.46
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.54


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   577 TIMES,
            AGREED   720 TIMES, AND
       WAS SMALLER   703 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     3.4534e-32 =    2 **-104.51
    OCCURRED FOR X =     2.329095e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.49


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.3779e-33 =    2 **-106.39
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.61


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)

  9.1986537e-34  0.0000000e+00

  4.5993268e-34  0.0000000e+00

  2.2996634e-34  0.0000000e+00

  1.1498317e-34  0.0000000e+00

  5.7491586e-35  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(1.557374e-207) = 1.557374e-207
 THE FOLLOWING THREE LINES ILLUSTRATE THE LOSS IN SIGNIFICANCE
 FOR LARGE ARGUMENTS.  THE ARGUMENTS ARE CONSECUTIVE.

       SIN( 1.273810e+16) = 0.000000e+00

       SIN( 1.273810e+16) = 0.000000e+00

       SIN( 1.273810e+16) = 0.000000e+00
1TEST OF ERROR RETURNS


 SIN WILL BE CALLED WITH THE ARGUMENT     1.6226e+32
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 SIN RETURNED THE VALUE     0.0000e+00



 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   279 TIMES,
             AGREED  1463 TIMES, AND
        WAS SMALLER   258 TIMES.


 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.3485e-32 =    2 **-105.07
    OCCURRED FOR X =     2.595035e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.93


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.0705e-33 =    2 **-107.28
 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   109 TIMES,
             AGREED  1606 TIMES, AND
        WAS SMALLER   285 TIMES.


 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.4595e-32 =    2 **-105.00
    OCCURRED FOR X =     6.803707e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.2903e-33 =    2 **-107.22
 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,            inf)


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


 THERE ARE 107 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            nan =    2 **nan0x10000000
 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,            inf)


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


 THERE ARE 107 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            nan =    2 **nan0x10000000
 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)

  3.8164278e-33  0.0000000e+00

  1.9082139e-33  0.0000000e+00

  9.5410696e-34  0.0000000e+00

  4.7705348e-34  0.0000000e+00

  2.3852674e-34  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(1.557374e-207) =1.557374e-207

1TEST OF ERROR RETURNS


 SINH WILL BE CALLED WITH THE ARGUMENT            inf
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


SINH(): Result too large
 SINH RETURNED THE VALUE            inf



SINH WILL BE CALLED WITH THE ARGUMENT     1.6226e+32
 THIS SHOULD TRIGGER AN ERROR MESSAGE


SINH(): Result too large
 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   155 TIMES,
             AGREED  1737 TIMES, AND
        WAS SMALLER   108 TIMES.


 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.6890e-32 =    2 **-105.55
    OCCURRED FOR X =     7.297665e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.45


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.9983e-33 =    2 **-108.04
 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   195 TIMES,
             AGREED  1731 TIMES, AND
        WAS SMALLER    74 TIMES.


 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.4310e-32 =    2 **-105.02
    OCCURRED FOR X =     1.014059e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.98


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2188e-33 =    2 **-107.55
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF SPECIAL ARGUMENTS


 SQRT(XMIN) = SQRT( 1.8051944e-276) =  1.3435752e-138


 SQRT(1-EPSNEG) = SQRT(1-  6.1629758e-33) =   1.0000000e+00


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


 SQRT(1+EPS) = SQRT(1+  1.2325952e-32) =   1.0000000e+00


 SQRT(XMAX) = SQRT(            inf) =             inf


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   654 TIMES,
            AGREED   685 TIMES, AND
       WAS SMALLER   661 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     6.3465e-32 =    2 **-103.64
    OCCURRED FOR X =     5.275654e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   3.36


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.1131e-32 =    2 **-106.15
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.85


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   815 TIMES,
            AGREED   752 TIMES, AND
       WAS SMALLER   433 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     5.4897e-32 =    2 **-103.84
    OCCURRED FOR X =     2.816730e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   3.16


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.1110e-32 =    2 **-106.15
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.85


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   655 TIMES,
            AGREED   730 TIMES, AND
       WAS SMALLER   615 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     4.9102e-32 =    2 **-104.01
    OCCURRED FOR X =     1.888876e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.0590e-32 =    2 **-106.22
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.78


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   778 TIMES,
            AGREED   616 TIMES, AND
       WAS SMALLER   606 TIMES.


 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     6.2164e-32 =    2 **-103.67
    OCCURRED FOR X =     1.931667e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   3.33


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.4618e-32 =    2 **-105.75
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.25


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)

  3.8164278e-33  0.0000000e+00

  1.9082139e-33  0.0000000e+00

  9.5410696e-34  0.0000000e+00

  4.7705348e-34  0.0000000e+00

  2.3852674e-34  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       TAN(1.557374e-207) =1.557374e-207

 THE RELATIVE ERROR IN TAN(11) IS -1.1455809e-33 =    2 **-109.43 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     9.0072e+15
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 TAN RETURNED THE VALUE     0.0000e+00




TAN WILL BE CALLED WITH THE ARGUMENT     1.6226e+32
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 TAN RETURNED THE VALUE     0.0000e+00



 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   877 TIMES,
             AGREED   741 TIMES, AND
        WAS SMALLER   382 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     5.6470e-32 =    2 **-103.80
    OCCURRED FOR X =     2.218445e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   3.20


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.2067e-32 =    2 **-106.03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.97


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,     3.8123e+01)


 TANH(X) WAS LARGER   909 TIMES,
             AGREED   715 TIMES, AND
        WAS SMALLER   376 TIMES.

 THERE ARE 107 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     7.4094e-32 =    2 **-103.41
    OCCURRED FOR X =     3.486761e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   3.59


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.7044e-33 =    2 **-106.50
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.50


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)

  2.7354926e-33  0.0000000e+00

  1.3677463e-33  0.0000000e+00

  6.8387315e-34  0.0000000e+00

  3.4193657e-34  0.0000000e+00

  1.7096829e-34  0.0000000e+00

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


        X         1 - F(X)

  3.8123095e+01  0.0000000e+00

  4.2123095e+01  0.0000000e+00

  4.6123095e+01  0.0000000e+00

  5.0123095e+01  0.0000000e+00

  5.4123095e+01  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       TANH(1.557374e-207) =1.557374e-207
 THE FUNCTION TANH WILL BE CALLED WITH THE ARGUMENT            inf
       TANH(          inf) = 1.000000e+00
 THE FUNCTION TANH WILL BE CALLED WITH THE ARGUMENT 1.8051944e-276
       TANH(1.805194e-276) =1.805194e-276
 THE FUNCTION TANH WILL BE CALLED WITH THE ARGUMENT  0.0000000e+00
       TANH( 0.000000e+00) = 0.000000e+00
 THIS CONCLUDES THE TESTS
