Host        = sunfire.math.utah.edu
Command     = ./talldp >>talldp.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=-g  
Date        = Tue May 28 12:46:16 MDT 2002
----------------------------------------
 
ibeta............       2
it...............      53
irnd.............       5
ngrd.............       0
machep...........     -52
negep............     -53
iexp.............      11
minexp...........   -1022
maxexp...........    1024
eps..............   2.22044604925031308e-16
epsneg...........   1.11022302462515654e-16
xmin.............  2.22507385850720138e-308
xmax.............  1.79769313486231571e+308
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 =     7.6294e-06


 ALOG(X) WAS LARGER    12 TIMES,
             AGREED  1987 TIMES, AND
        WAS SMALLER     1 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     1.8313e-16 =    2 ** -52.28
    OCCURRED FOR X =     1.000002e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.72


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.1040e-17 =    2 ** -56.33
 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  1519 TIMES, AND
        WAS SMALLER   481 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.2193e-16 =    2 ** -52.00
    OCCURRED FOR X =     7.786997e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.9187e-17 =    2 ** -53.49
 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   948 TIMES, AND
          WAS SMALLER  1052 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     5.6528e-16 =    2 ** -50.65
    OCCURRED FOR X =     8.930980e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.35


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.5371e-16 =    2 ** -52.53
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.47


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    68 TIMES,
             AGREED  1932 TIMES, AND
        WAS SMALLER     0 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.2176e-16 =    2 ** -52.00
    OCCURRED FOR X =     5.487707e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     3.2027e-17 =    2 ** -54.79
 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)

  1.5983318e+01  4.4408921e-16

  1.5339606e+01  0.0000000e+00

  1.5347572e+01  4.4408921e-16

  1.5813231e+01  0.0000000e+00

  1.5740176e+01  0.0000000e+00



 TEST OF SPECIAL ARGUMENTS


 ALOG(1.0) =   0.0000000e+00


 ALOG(XMIN) = ALOG( 2.2250739e-308) =  -7.0839642e+02


 ALOG(XMAX) = ALOG( 1.7976931e+308) =   7.0978271e+02


1TEST OF ERROR RETURNS


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


ALOG(): Argument out of domain
 ALOG RETURNED THE VALUE           -Inf


 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   530 TIMES,
             AGREED   983 TIMES, AND
        WAS SMALLER   487 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.2195e-16 =    2 ** -52.00
    OCCURRED FOR X =     3.125874e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.1178e-16 =    2 ** -52.99
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.01


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   522 TIMES,
             AGREED  1003 TIMES, AND
        WAS SMALLER   475 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.5360e-16 =    2 ** -52.53
    OCCURRED FOR X =     1.248467e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.47


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.0027e-16 =    2 ** -53.15
 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   382 TIMES,
             AGREED  1258 TIMES, AND
        WAS SMALLER   360 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.2191e-16 =    2 ** -52.00
    OCCURRED FOR X =     8.418029e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.0498e-16 =    2 ** -53.08
 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   367 TIMES,
             AGREED  1245 TIMES, AND
        WAS SMALLER   388 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.2178e-16 =    2 ** -52.00
    OCCURRED FOR X =     9.688372e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.0348e-16 =    2 ** -53.10
 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
      (    -1.0000e+00,    -7.5000e-01)


 ACOS(X) WAS LARGER   491 TIMES,
             AGREED   992 TIMES, AND
        WAS SMALLER   517 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     1.8355e-16 =    2 ** -52.27
    OCCURRED FOR X =    -7.503448e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.73


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.1888e-16 =    2 ** -52.90
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.10


1SPECIAL TESTS

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

        X         F(X) + F(-X)
 -5.0384110e-01  0.0000000e+00

 -5.1721352e-01  0.0000000e+00

 -4.6127087e-01  0.0000000e+00

 -3.5739680e-01  0.0000000e+00

 -3.2497569e-01  0.0000000e+00

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

        X         X - F(X)
  8.2729394e-17  0.0000000e+00

  4.1364697e-17  0.0000000e+00

  2.0682348e-17  0.0000000e+00

  1.0341174e-17  0.0000000e+00

  5.1705871e-18  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       ASIN(1.821832e-231) =1.821832e-231

1TEST OF ERROR RETURNS


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


ASIN(): Argument out of domain
 ASIN RETURNED THE VALUE     0.0000e+00


 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    13 TIMES,
             AGREED  1982 TIMES, AND
        WAS SMALLER     5 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.0174e-16 =    2 ** -52.14
    OCCURRED FOR X =    -3.440843e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.86


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.3933e-17 =    2 ** -55.99
 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   447 TIMES,
             AGREED  1360 TIMES, AND
        WAS SMALLER   193 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.2199e-16 =    2 ** -52.00
    OCCURRED FOR X =     1.256840e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.6671e-17 =    2 ** -53.36
 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
      (     2.6795e-01,     4.1421e-01)


 ATAN(X) WAS LARGER   268 TIMES,
             AGREED  1417 TIMES, AND
        WAS SMALLER   315 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.1197e-16 =    2 ** -52.07
    OCCURRED FOR X =     2.680413e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.93


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.3552e-17 =    2 ** -53.25
 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   140 TIMES,
             AGREED  1717 TIMES, AND
        WAS SMALLER   143 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.2064e-16 =    2 ** -52.01
    OCCURRED FOR X =     5.504280e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.7318e-17 =    2 ** -53.95
 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)

  2.4582943e+00  0.0000000e+00

  8.4901561e-01  0.0000000e+00

  8.6893012e-01  0.0000000e+00

  2.0330784e+00  0.0000000e+00

  1.8504397e+00  0.0000000e+00

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


        X         X - F(X)

  6.9279836e-17  0.0000000e+00

  3.4639918e-17  0.0000000e+00

  1.7319959e-17  0.0000000e+00

  8.6599794e-18  0.0000000e+00

  4.3299897e-18  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))
 -9.1978515e-01  5.8925193e-01  0.0000000e+00  3.1415927e+00

 -1.7546973e+00  2.1346841e-01  0.0000000e+00  3.1415927e+00

 -2.2456381e-01  2.9761609e-01  0.0000000e+00  3.1415927e+00

 -9.9445784e-01  8.9905633e-01  0.0000000e+00  3.1415927e+00

  1.0204660e+00  6.9518594e-01  0.0000000e+00 -3.1415927e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       ATAN(1.821832e-231) =1.821832e-231
1TEST OF ERROR RETURNS


 ATAN WILL BE CALLED WITH THE ARGUMENT 1.7976931e+308
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


       ATAN(1.797693e+308) = 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
 2.2250739e-308 1.7976931e+308

 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


       ATAN2(2.225074e-3081.797693e+308) = 0.000000e+00
 ATAN2 WILL BE CALLED WITH THE ARGUMENTS
 1.7976931e+308 2.2250739e-308

 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


       ATAN2(1.797693e+3082.225074e-308) = 1.570796e+00
 ATAN2 WILL BE CALLED WITH THE ARGUMENTS
  0.0000000e+00  0.0000000e+00

 THIS SHOULD TRIGGER AN ERROR MESSAGE


ATAN2(): Argument out of domain
       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   279 TIMES,
              AGREED  1447 TIMES, AND
         WAS SMALLER   274 TIMES.


 THERE ARE   53 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.2196e-16 =    2 ** -52.00
    OCCURRED FOR X =     6.288667e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.3731e-17 =    2 ** -53.41
 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,    -6.7027e+02)


 EXP(X-V) WAS LARGER   292 TIMES,
              AGREED  1473 TIMES, AND
         WAS SMALLER   235 TIMES.


 THERE ARE   53 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.2204e-16 =    2 ** -52.00
    OCCURRED FOR X =    -4.920946e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.4088e-17 =    2 ** -53.40
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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


   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     6.9315e+00,     7.0968e+02)


 EXP(X-V) WAS LARGER   291 TIMES,
              AGREED  1485 TIMES, AND
         WAS SMALLER   224 TIMES.


 THERE ARE   53 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.2199e-16 =    2 ** -52.00
    OCCURRED FOR X =     2.925483e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.1286e-17 =    2 ** -53.45
 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

  7.8325859e-01  0.0000000e+00

  4.1536184e-01 -2.2204460e-16

  2.8620958e-02  0.0000000e+00

  1.2024206e+00  0.0000000e+00

  1.8213778e+00  0.0000000e+00



 TEST OF SPECIAL ARGUMENTS


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

 EXP(-7.080000e+02) =3.307553e-308

 EXP( 7.090000e+02) =8.218407e+307

 IF EXP( 3.545000e+02) = 9.065543e+153 IS NOT ABOUT
 EXP( 1.772500e+02)**2 =9.065543e+153 THERE IS AN ARG RED ERROR
1TEST OF ERROR RETURNS


 EXP WILL BE CALLED WITH THE ARGUMENT   -6.7039e+153
 THIS SHOULD TRIGGER AN ERROR MESSAGE


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



 EXP WILL BE CALLED WITH THE ARGUMENT    6.7039e+153
 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   53 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   129 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER  1871 TIMES.


 THERE ARE   53 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      2.2131e-16 =    2 **  -52.00
    OCCURRED FOR X =     5.005552e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      5.7755e-17 =    2 ** -53.94
 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,    5.6438e+102)


 X**1.5 WAS LARGER   148 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER  1852 TIMES.


 THERE ARE   53 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      2.2011e-16 =    2 **  -52.01
    OCCURRED FOR X =    8.914343e+101
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      6.1530e-17 =    2 ** -53.85
 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 (    -1.5413e+02,     1.5413e+02)


 X**Y  WAS LARGER   942 TIMES,
           AGREED     0 TIMES, AND
      WAS SMALLER  1058 TIMES.


 THERE ARE   53 BASE    2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF      8.2124e-15 =    2 **  -46.79
    OCCURRED FOR X =     5.686868e+00 Y =     1.504408e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   6.21


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      2.0851e-15 =    2 ** -48.77
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   4.23


1SPECIAL TESTS


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

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

  6.0384110e+00  6.1721352e+00       -4.4054454e-16

  5.6127087e+00  4.5739680e+00       -1.7024686e-16

  4.2497569e+00  8.4516013e+00        1.4232047e-16

  2.2708162e+00  7.5027289e+00       -2.4175382e-16

  6.1387364e+00  3.7554795e+00       -2.4953170e-16

1TEST OF ERROR RETURNS


 ( 2.0000000e+00) ** (-1.0220000e+03) WILL BE COMPUTED.
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 THE VALUE RETURNED IS     2.2251e-308



 ( 2.0000000e+00) ** ( 1.0230000e+03) WILL BE COMPUTED.
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 THE VALUE RETURNED IS     8.9885e+307



 ( 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   409 TIMES,
            AGREED  1212 TIMES, AND
       WAS SMALLER   379 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.6662e-16 =    2 ** -51.74
    OCCURRED FOR X =     9.841708e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.26


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.9681e-17 =    2 ** -53.31
 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   378 TIMES,
            AGREED  1275 TIMES, AND
       WAS SMALLER   347 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.6053e-16 =    2 ** -51.77
    OCCURRED FOR X =     1.906428e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.23


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     8.4273e-17 =    2 ** -53.40
 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   419 TIMES,
            AGREED  1216 TIMES, AND
       WAS SMALLER   365 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     2.8652e-16 =    2 ** -51.63
    OCCURRED FOR X =     2.346492e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.37


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.0018e-17 =    2 ** -53.30
 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)
  7.3820383e+00  0.0000000e+00

  3.9146931e+00  0.0000000e+00

  2.6974617e-01  0.0000000e+00

  1.1332547e+01  0.0000000e+00

  1.7166081e+01  0.0000000e+00

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

  5.7051156e-17  0.0000000e+00

  2.8525578e-17  0.0000000e+00

  1.4262789e-17  0.0000000e+00

  7.1313945e-18  0.0000000e+00

  3.5656973e-18  0.0000000e+00

 THE IDENTITY   COS(-X) = COS(X)   WILL BE TESTED.
        X         F(X) - F(-X)
  4.4566459e+00  0.0000000e+00

  4.8316547e+00  0.0000000e+00

  2.1326225e+00  0.0000000e+00

  1.5061690e+01  0.0000000e+00

  2.2071794e+00  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.


       SIN(1.821832e-231) = 1.821832e-231
 THE FOLLOWING THREE LINES ILLUSTRATE THE LOSS IN SIGNIFICANCE
 FOR LARGE ARGUMENTS.  THE ARGUMENTS ARE CONSECUTIVE.

       SIN( 9.490627e+07) = 9.419571e-01

       SIN( 9.490627e+07) = 9.419571e-01

       SIN( 9.490627e+07) = 9.419570e-01
1TEST OF ERROR RETURNS


 SIN WILL BE CALLED WITH THE ARGUMENT     9.0072e+15
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 SIN RETURNED THE VALUE    -8.4893e-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   339 TIMES,
             AGREED  1320 TIMES, AND
        WAS SMALLER   341 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.8524e-16 =    2 ** -51.64
    OCCURRED FOR X =     3.800103e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.36


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.0839e-17 =    2 ** -53.29
 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    36 TIMES,
             AGREED  1910 TIMES, AND
        WAS SMALLER    54 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.2036e-16 =    2 ** -52.01
    OCCURRED FOR X =     1.236239e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.3430e-17 =    2 ** -54.35
 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,     7.0978e+02)


 SINH(X) WAS LARGER  1006 TIMES,
             AGREED   937 TIMES, AND
        WAS SMALLER    57 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     3.5507e-16 =    2 ** -51.32
    OCCURRED FOR X =     5.505826e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.68


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.2718e-16 =    2 ** -52.80
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.20


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

   2000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     3.0000e+00,     7.0978e+02)


 COSH(X) WAS LARGER   988 TIMES,
             AGREED   967 TIMES, AND
        WAS SMALLER    45 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     3.3723e-16 =    2 ** -51.40
    OCCURRED FOR X =     6.948087e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.60


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.2255e-16 =    2 ** -52.86
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.14


1SPECIAL TESTS

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

        X            F(X) + F(-X)

  1.4749766e+00  0.0000000e+00

  5.0940937e-01  0.0000000e+00

  5.2135807e-01  0.0000000e+00

  1.2198471e+00  0.0000000e+00

  1.1102638e+00  0.0000000e+00

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

        X         X - F(X)

  6.9279836e-17  0.0000000e+00

  3.4639918e-17  0.0000000e+00

  1.7319959e-17  0.0000000e+00

  8.6599794e-18  0.0000000e+00

  4.3299897e-18  0.0000000e+00

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

        X         F(X) - F(-X)

  8.1016114e-01  0.0000000e+00

  1.7677558e+00  0.0000000e+00

  1.8397699e-01  0.0000000e+00

  6.4040522e-01  0.0000000e+00

  1.3315771e+00  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

      SINH(1.821832e-231) =1.821832e-231

1TEST OF ERROR RETURNS


 SINH WILL BE CALLED WITH THE ARGUMENT     7.0991e+02
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 SINH RETURNED THE VALUE    1.0185e+308



SINH WILL BE CALLED WITH THE ARGUMENT     9.0072e+15
 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     0 TIMES,
             AGREED  2000 TIMES, AND
        WAS SMALLER     0 TIMES.


 THERE ARE  53 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  53 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( 2.2250739e-308) =  1.4916681e-154


 SQRT(1-EPSNEG) = SQRT(1-  1.1102230e-16) =   1.0000000e+00


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


 SQRT(1+EPS) = SQRT(1+  2.2204460e-16) =   1.0000000e+00


 SQRT(XMAX) = SQRT( 1.7976931e+308) =  1.3407808e+154


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(): Argument out of domain
 SQRT RETURNED THE VALUE             NaN



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


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


 TAN(X) WAS LARGER   471 TIMES,
            AGREED  1098 TIMES, AND
       WAS SMALLER   431 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     3.9035e-16 =    2 ** -51.19
    OCCURRED FOR X =     2.771006e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.81


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.0960e-16 =    2 ** -53.02
 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   362 TIMES,
            AGREED  1289 TIMES, AND
       WAS SMALLER   349 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     2.7828e-16 =    2 ** -51.67
    OCCURRED FOR X =     3.191421e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.33


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     9.6386e-17 =    2 ** -53.20
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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


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


 TAN(X) WAS LARGER   443 TIMES,
            AGREED  1077 TIMES, AND
       WAS SMALLER   480 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     4.3423e-16 =    2 ** -51.03
    OCCURRED FOR X =     1.903901e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.97


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.1332e-16 =    2 ** -52.97
 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   481 TIMES,
            AGREED  1007 TIMES, AND
       WAS SMALLER   512 TIMES.


 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER


 THE MAXIMUM RELATIVE ERROR OF     4.0667e-16 =    2 ** -51.13
    OCCURRED FOR X =     1.939765e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.87


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.2447e-16 =    2 ** -52.84
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.16


1SPECIAL TESTS


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

        X         F(X) + F(-X)

  9.2675513e+00  0.0000000e+00

  3.2007135e+00  0.0000000e+00

  3.2757894e+00  0.0000000e+00

  7.6645251e+00  0.0000000e+00

  6.9759933e+00  0.0000000e+00

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

        X         X - F(X)

  6.9279836e-17  0.0000000e+00

  3.4639918e-17  0.0000000e+00

  1.7319959e-17  0.0000000e+00

  8.6599794e-18  0.0000000e+00

  4.3299897e-18  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       TAN(1.821832e-231) =1.821832e-231

 THE RELATIVE ERROR IN TAN(11) IS  5.4049159e-17 =    2 ** -54.04 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     6.7109e+07
 THIS SHOULD NOT TRIGGER AN ERROR MESSAGE


 TAN RETURNED THE VALUE    -4.6381e-01




TAN WILL BE CALLED WITH THE ARGUMENT     9.0072e+15
 THIS SHOULD TRIGGER AN ERROR MESSAGE


 TAN RETURNED THE VALUE     1.6063e+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   586 TIMES,
             AGREED   951 TIMES, AND
        WAS SMALLER   463 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     4.4421e-16 =    2 ** -51.00
    OCCURRED FOR X =     5.491267e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.2648e-16 =    2 ** -52.81
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.19


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,     1.9408e+01)


 TANH(X) WAS LARGER   527 TIMES,
             AGREED  1086 TIMES, AND
        WAS SMALLER   387 TIMES.

 THERE ARE  53 BASE   2 SIGNIFICANT DIGITS IN A FLOATING-POINT NUMBER

 THE MAXIMUM RELATIVE ERROR OF     3.6158e-16 =    2 ** -51.30
    OCCURRED FOR X =     7.154747e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.70


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.8319e-17 =    2 ** -53.50
 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)

  5.5568571e-02  0.0000000e+00

  2.5889429e-01  0.0000000e+00

  2.2333500e-01  0.0000000e+00

  6.0939174e-01  0.0000000e+00

  7.4587289e-01  0.0000000e+00

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


        X         X - F(X)

  2.9291640e-17  0.0000000e+00

  1.4645820e-17  0.0000000e+00

  7.3229100e-18  0.0000000e+00

  3.6614550e-18  0.0000000e+00

  1.8307275e-18  0.0000000e+00

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


        X         1 - F(X)

  1.9408121e+01  0.0000000e+00

  2.3408121e+01  0.0000000e+00

  2.7408121e+01  0.0000000e+00

  3.1408121e+01  0.0000000e+00

  3.5408121e+01  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

       TANH(1.821832e-231) =1.821832e-231
 THE FUNCTION TANH WILL BE CALLED WITH THE ARGUMENT 1.7976931e+308
       TANH(1.797693e+308) = 1.000000e+00
 THE FUNCTION TANH WILL BE CALLED WITH THE ARGUMENT 2.2250739e-308
       TANH(2.225074e-308) =2.225074e-308
 THE FUNCTION TANH WILL BE CALLED WITH THE ARGUMENT  0.0000000e+00
       TANH( 0.000000e+00) = 0.000000e+00
 THIS CONCLUDES THE TESTS
