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


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (1-EPS,1+EPS), WHERE EPS =     4.7684e-07


 ALOG(X) WAS LARGER  6950 TIMES,
             AGREED186099 TIMES, AND
        WAS SMALLER  6951 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.0842e-19 =    2 ** -63.00
    OCCURRED FOR X =     9.999998e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.9705e-20 =    2 ** -65.46
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     7.0711e-01,     9.3750e-01)


 ALOG(X) WAS LARGER     0 TIMES,
             AGREED155666 TIMES, AND
        WAS SMALLER 44334 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.0842e-19 =    2 ** -63.00
    OCCURRED FOR X =     7.788003e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     3.9803e-20 =    2 ** -64.45
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     3.1623e-01,     9.0000e-01)


 ALOG10(X) WAS LARGER     0 TIMES,
               AGREED 88028 TIMES, AND
          WAS SMALLER111972 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     2.9531e-19 =    2 ** -61.55
    OCCURRED FOR X =     8.997190e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.45


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.3412e-20 =    2 ** -63.56
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.44


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


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.6000e+01,     2.4000e+02)


 ALOG(X) WAS LARGER  5306 TIMES,
             AGREED194694 TIMES, AND
        WAS SMALLER     0 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.0841e-19 =    2 ** -63.00
    OCCURRED FOR X =     5.462073e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.3348e-20 =    2 ** -66.02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS


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

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

  1.5379850e+01  0.0000000e+00

  1.6765870e+01  0.0000000e+00

  1.5889812e+01  0.0000000e+00

  1.5535284e+01  0.0000000e+00

  1.5867438e+01  0.0000000e+00



 TEST OF SPECIAL ARGUMENTS


 ALOG(1.0) =   0.0000000e+00


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


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


1TEST OF ERROR RETURNS


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


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


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


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



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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -1.2500e-01,     1.2500e-01)


 ASIN(X) WAS LARGER 49270 TIMES,
             AGREED103099 TIMES, AND
        WAS SMALLER 47631 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.0842e-19 =    2 ** -63.00
    OCCURRED FOR X =    -1.246757e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.3466e-20 =    2 ** -64.02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF ACOS(X) VS TAYLOR SERIES

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -1.2500e-01,     1.2500e-01)


 ACOS(X) WAS LARGER 46066 TIMES,
             AGREED104760 TIMES, AND
        WAS SMALLER 49174 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     7.5007e-20 =    2 ** -63.53
    OCCURRED FOR X =     1.249989e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.47


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.7782e-20 =    2 ** -64.18
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF ASIN(X) VS TAYLOR SERIES

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     7.5000e-01,     1.0000e+00)


 ASIN(X) WAS LARGER   125 TIMES,
             AGREED 74159 TIMES, AND
        WAS SMALLER125716 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     2.0350e-19 =    2 ** -62.09
    OCCURRED FOR X =     8.750675e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.91


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.7057e-20 =    2 ** -63.69
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.31


1TEST OF ACOS(X) VS TAYLOR SERIES

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     7.5000e-01,     1.0000e+00)


 ACOS(X) WAS LARGER 56684 TIMES,
             AGREED 86380 TIMES, AND
        WAS SMALLER 56936 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     3.8586e-15 =    2 ** -47.88
    OCCURRED FOR X =     9.999985e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  16.12


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     1.1463e-17 =    2 ** -56.28
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   7.72


1TEST OF ACOS(X) VS TAYLOR SERIES

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -1.0000e+00,    -7.5000e-01)


 ACOS(X) WAS LARGER 38655 TIMES,
             AGREED121621 TIMES, AND
        WAS SMALLER 39724 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.3126e-18 =    2 ** -59.40
    OCCURRED FOR X =    -9.999959e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   4.60


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.2082e-20 =    2 ** -64.06
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS

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

        X         F(X) + F(-X)
 -3.3314999e-01  0.0000000e+00

 -6.4742689e-01  0.0000000e+00

 -5.1005346e-01  0.0000000e+00

 -1.9705937e-01  0.0000000e+00

 -6.1664300e-01  0.0000000e+00

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

        X         X - F(X)
  4.6177165e-20  0.0000000e+00

  2.3088582e-20  0.0000000e+00

  1.1544291e-20  0.0000000e+00

  5.7721456e-21  0.0000000e+00

  2.8860728e-21  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

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

1TEST OF ERROR RETURNS


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


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


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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -6.2500e-02,     6.2500e-02)


 ATAN(X) WAS LARGER    53 TIMES,
             AGREED198031 TIMES, AND
        WAS SMALLER  1916 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.0403e-19 =    2 ** -63.06
    OCCURRED FOR X =    -3.257926e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.94


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.2506e-21 =    2 ** -67.12
 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))

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     6.2500e-02,     2.6795e-01)


 ATAN(X) WAS LARGER 21229 TIMES,
             AGREED144513 TIMES, AND
        WAS SMALLER 34258 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.4457e-19 =    2 ** -62.58
    OCCURRED FOR X =     1.897108e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.42


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.0760e-20 =    2 ** -64.41
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     2.6795e-01,     4.1421e-01)


 ATAN(X) WAS LARGER 24361 TIMES,
             AGREED146448 TIMES, AND
        WAS SMALLER 29191 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.0353e-19 =    2 ** -63.07
    OCCURRED FOR X =     2.679498e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.93


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.3512e-20 =    2 ** -64.32
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     4.1421e-01,     1.0000e+00)


 ATAN(X) WAS LARGER 13124 TIMES,
             AGREED172868 TIMES, AND
        WAS SMALLER 14008 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.3751e-19 =    2 ** -62.66
    OCCURRED FOR X =     4.159932e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.34


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.8092e-20 =    2 ** -64.95
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS

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


        X         F(X) + F(-X)

  9.4962527e-01  0.0000000e+00

  4.4146741e+00  0.0000000e+00

  2.2245309e+00  0.0000000e+00

  1.3382094e+00  0.0000000e+00

  2.1685943e+00  0.0000000e+00

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


        X         X - F(X)

  2.8199715e-20  0.0000000e+00

  1.4099857e-20  0.0000000e+00

  7.0499287e-21  0.0000000e+00

  3.5249643e-21  0.0000000e+00

  1.7624822e-21  0.0000000e+00

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

        X             Y     F1(X/Y)-F2(X,Y)F1(X/Y)-F2(X/(-Y))
 -7.7883973e-01  6.5753595e-01  0.0000000e+00  3.1415927e+00

 -1.4303904e+00  3.5827978e-01  0.0000000e+00  3.1415927e+00

  1.1666199e+00  9.7864354e-01 -5.4210109e-20 -3.1415927e+00

 -8.3439793e-01  3.5993918e-01  0.0000000e+00  3.1415927e+00

 -1.7467280e+00  7.0429758e-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)


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -2.8407e-01,     3.4657e-01)


 EXP(X-V) WAS LARGER 28303 TIMES,
              AGREED143972 TIMES, AND
         WAS SMALLER 27725 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.5092e-19 =    2 ** -62.52
    OCCURRED FOR X =    -2.682552e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.48


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.1236e-20 =    2 ** -64.39
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (    -3.4657e+00,    -1.1309e+04)


 EXP(X-V) WAS LARGER 28234 TIMES,
              AGREED142270 TIMES, AND
         WAS SMALLER 29496 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.5902e-19 =    2 ** -62.45
    OCCURRED FOR X =    -5.780497e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.55


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2135e-20 =    2 ** -64.36
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     6.9315e+00,     1.1356e+04)


 EXP(X-V) WAS LARGER 28238 TIMES,
              AGREED142708 TIMES, AND
         WAS SMALLER 29054 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.5694e-19 =    2 ** -62.47
    OCCURRED FOR X =     6.754886e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.53


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2005e-20 =    2 ** -64.37
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS


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

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

  1.7075134e+00  0.0000000e+00

  6.7237965e-01  0.0000000e+00

  4.7120542e-01  0.0000000e+00

  9.5461524e-01 -5.4210109e-20

  1.5085350e+00 -5.4210109e-20



 TEST OF SPECIAL ARGUMENTS


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

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

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

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


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


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



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


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



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


 200000 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 SMALLER200000 TIMES.


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


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


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


1TEST OF XSQ**1.5 VS XSQ*X


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     5.0000e-01,     1.0000e+00)


 X**1.5 WAS LARGER 30847 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER169153 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF      2.3489e-19 =    2 **  -61.88
    OCCURRED FOR X =     5.573016e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.12


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      5.0305e-20 =    2 ** -64.11
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1TEST OF XSQ**1.5 VS XSQ*X


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.0000e+00,   1.0596e+1644)


 X**1.5 WAS LARGER112496 TIMES,
            AGREED     0 TIMES, AND
       WAS SMALLER 87504 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF      7.6957e-16 =    2 **  -50.21
    OCCURRED FOR X =   8.553096e+1643
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  13.79


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      3.4548e-16 =    2 ** -51.36
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  12.64


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


 200000 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 12554 TIMES,
           AGREED     0 TIMES, AND
      WAS SMALLER187446 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF      6.1573e-16 =    2 **  -50.53
    OCCURRED FOR X =     8.340719e+00 Y =     2.400253e+03
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS  13.47


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS      5.1740e-17 =    2 ** -54.10
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   9.90


1SPECIAL TESTS


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

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

  4.3314999e+00  7.4742689e+00        0.0000000e+00

  6.1005346e+00  2.9705937e+00        0.0000000e+00

  7.1664300e+00  9.5181834e+00        0.0000000e+00

  2.0937654e+00  1.2589476e+00        0.0000000e+00

  5.0200551e+00  4.2293793e+00        0.0000000e+00

1TEST OF ERROR RETURNS


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


 THE VALUE RETURNED IS    3.3621e-4932



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


 THE VALUE RETURNED IS    5.9487e+4931



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


 THE VALUE RETURNED IS      0.0000e+00



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


 THE VALUE RETURNED IS      1.0000e+00



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


 THE VALUE RETURNED IS      4.0000e+00



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


 THE VALUE RETURNED IS      1.0000e+00



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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     0.0000e+00,     1.5708e+00)


 SIN(X) WAS LARGER 40311 TIMES,
            AGREED124535 TIMES, AND
       WAS SMALLER 35154 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.5719e-19 =    2 ** -62.46
    OCCURRED FOR X =     7.611233e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.54


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2515e-20 =    2 ** -64.35
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.8850e+01,     2.0420e+01)


 SIN(X) WAS LARGER 40272 TIMES,
            AGREED124613 TIMES, AND
       WAS SMALLER 35115 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.5468e-19 =    2 ** -62.49
    OCCURRED FOR X =     1.962624e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.51


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2426e-20 =    2 ** -64.35
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     2.1991e+01,     2.3562e+01)


 COS(X) WAS LARGER 39805 TIMES,
            AGREED124919 TIMES, AND
       WAS SMALLER 35276 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     1.5307e-19 =    2 ** -62.50
    OCCURRED FOR X =     2.277486e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.50


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.2392e-20 =    2 ** -64.35
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS

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

 THE IDENTITY   SIN(-X) = -SIN(X)   WILL BE TESTED.
     X        F(X) + F(-X)
  1.6092934e+01  0.0000000e+00

  6.3370289e+00  0.0000000e+00

  4.4410064e+00  0.0000000e+00

  8.9970367e+00  0.0000000e+00

  1.4217607e+01  0.0000000e+00

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

  4.4693397e-20  0.0000000e+00

  2.2346698e-20  0.0000000e+00

  1.1173349e-20  0.0000000e+00

  5.5866746e-21  0.0000000e+00

  2.7933373e-21  0.0000000e+00

 THE IDENTITY   COS(-X) = COS(X)   WILL BE TESTED.
        X         F(X) - F(-X)
  4.2494708e+00  0.0000000e+00

  6.9505523e+00  0.0000000e+00

  1.3965705e+01  0.0000000e+00

  7.6126724e+00  0.0000000e+00

  1.3429529e+01  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.


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

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

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

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


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


 SIN RETURNED THE VALUE     3.1282e-01



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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     0.0000e+00,     5.0000e-01)


 SINH(X) WAS LARGER 62674 TIMES,
             AGREED117206 TIMES, AND
        WAS SMALLER 20120 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     2.1551e-19 =    2 ** -62.01
    OCCURRED FOR X =     4.839707e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.99


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.0527e-20 =    2 ** -64.10
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     0.0000e+00,     5.0000e-01)


 COSH(X) WAS LARGER  5090 TIMES,
             AGREED190796 TIMES, AND
        WAS SMALLER  4114 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     1.0838e-19 =    2 ** -63.00
    OCCURRED FOR X =     2.682651e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.00


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     2.1539e-20 =    2 ** -65.33
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     3.0000e+00,     1.1357e+04)


 SINH(X) WAS LARGER 26008 TIMES,
             AGREED125657 TIMES, AND
        WAS SMALLER 48335 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     2.0901e-18 =    2 ** -58.73
    OCCURRED FOR X =     2.262295e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   5.27


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.1960e-20 =    2 ** -64.06
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     3.0000e+00,     1.1357e+04)


 COSH(X) WAS LARGER  1610 TIMES,
             AGREED195370 TIMES, AND
        WAS SMALLER  3020 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF            inf =    2 **    inf
    OCCURRED FOR X =     7.095191e+02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS    inf


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


1SPECIAL TESTS

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

        X            F(X) + F(-X)

  5.6977516e-01  0.0000000e+00

  2.6488045e+00  0.0000000e+00

  1.3347185e+00  0.0000000e+00

  8.0292561e-01  0.0000000e+00

  1.3011566e+00  0.0000000e+00

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

        X         X - F(X)

  2.8199715e-20  0.0000000e+00

  1.4099857e-20  0.0000000e+00

  7.0499287e-21  0.0000000e+00

  3.5249643e-21  0.0000000e+00

  1.7624822e-21  0.0000000e+00

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

        X         F(X) - F(-X)

  9.1587020e-01  0.0000000e+00

  1.9726079e+00  0.0000000e+00

  4.2720719e-01  0.0000000e+00

  1.0748393e+00  0.0000000e+00

  2.3749649e+00  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

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

1TEST OF ERROR RETURNS


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


 SINH RETURNED THE VALUE   6.7407e+4931



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


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



 THIS CONCLUDES THE TESTS

1TEST OF SQRT(X*X) - X


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
       (     7.0711e-01,     1.0000e+00)


 SQRT(X) WAS LARGER     0 TIMES,
             AGREED200000 TIMES, AND
        WAS SMALLER     0 TIMES.


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


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


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


1TEST OF SQRT(X*X) - X


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
       (     1.0000e+00,     1.4142e+00)


 SQRT(X) WAS LARGER     0 TIMES,
             AGREED200000 TIMES, AND
        WAS SMALLER     0 TIMES.


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


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


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


1TEST OF SPECIAL ARGUMENTS


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


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


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


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


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


1TEST OF ERROR RETURNS


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


 SQRT RETURNED THE VALUE      0.0000e+00



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


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



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


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     0.0000e+00,     7.8540e-01)


 TAN(X) WAS LARGER 46898 TIMES,
            AGREED110022 TIMES, AND
       WAS SMALLER 43080 TIMES.

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


 THE MAXIMUM RELATIVE ERROR OF     2.3078e-19 =    2 ** -61.91
    OCCURRED FOR X =     2.201820e-02
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.09


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.5058e-20 =    2 ** -63.98
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.02


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


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     2.7489e+00,     3.5343e+00)


 TAN(X) WAS LARGER 37154 TIMES,
            AGREED125890 TIMES, AND
       WAS SMALLER 36956 TIMES.

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


 THE MAXIMUM RELATIVE ERROR OF     1.9999e-19 =    2 ** -62.12
    OCCURRED FOR X =     3.406297e+00
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   1.88


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     4.7797e-20 =    2 ** -64.18
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


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


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     1.8850e+01,     1.9635e+01)


 TAN(X) WAS LARGER 46916 TIMES,
            AGREED109689 TIMES, AND
       WAS SMALLER 43395 TIMES.

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


 THE MAXIMUM RELATIVE ERROR OF     2.4612e-19 =    2 ** -61.82
    OCCURRED FOR X =     1.889083e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.18


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.5086e-20 =    2 ** -63.98
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.02


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


 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
    (     1.8850e+01,     1.9635e+01)


 COT(X) WAS LARGER 47755 TIMES,
            AGREED101549 TIMES, AND
       WAS SMALLER 50696 TIMES.


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


 THE MAXIMUM RELATIVE ERROR OF     2.4357e-19 =    2 ** -61.83
    OCCURRED FOR X =     1.936129e+01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.17


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     6.1954e-20 =    2 ** -63.81
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.19


1SPECIAL TESTS


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

        X         F(X) + F(-X)

  3.5800029e+00  0.0000000e+00

  1.6642929e+01  0.0000000e+00

  8.3862840e+00  0.0000000e+00

  5.0449304e+00  0.0000000e+00

  8.1754081e+00  0.0000000e+00

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

        X         X - F(X)

  2.8199715e-20  0.0000000e+00

  1.4099857e-20  0.0000000e+00

  7.0499287e-21  0.0000000e+00

  3.5249643e-21  0.0000000e+00

  1.7624822e-21  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

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

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

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

 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   5.89


1TEST OF ERROR RETURNS


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


 TAN RETURNED THE VALUE     5.2091e-01




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


 TAN RETURNED THE VALUE    -3.2935e-01



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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     1.2500e-01,     5.4931e-01)


 TANH(X) WAS LARGER 76951 TIMES,
             AGREED 76987 TIMES, AND
        WAS SMALLER 46062 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     3.2384e-19 =    2 ** -61.42
    OCCURRED FOR X =     3.482164e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.58


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     7.5431e-20 =    2 ** -63.52
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.48


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

 200000 RANDOM ARGUMENTS WERE TESTED FROM THE INTERVAL
      (     6.7431e-01,     2.3220e+01)


 TANH(X) WAS LARGER 59273 TIMES,
             AGREED 81327 TIMES, AND
        WAS SMALLER 59400 TIMES.

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

 THE MAXIMUM RELATIVE ERROR OF     2.6570e-19 =    2 ** -61.71
    OCCURRED FOR X =     7.122350e-01
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   2.29


 THE ROOT MEAN SQUARE RELATIVE ERROR WAS     5.1604e-20 =    2 ** -64.07
 THE ESTIMATED LOSS OF BASE   2 SIGNIFICANT DIGITS IS   0.00


1SPECIAL TESTS

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


        X         F(X) + F(-X)

  8.6207761e-01  0.0000000e+00

  5.6372946e-01  0.0000000e+00

  6.3144201e-02  0.0000000e+00

  3.2455011e-01  0.0000000e+00

  4.6473700e-01  0.0000000e+00

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


        X         X - F(X)

  1.0758433e-20  0.0000000e+00

  5.3792163e-21  0.0000000e+00

  2.6896082e-21  0.0000000e+00

  1.3448041e-21  0.0000000e+00

  6.7240204e-22  0.0000000e+00

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


        X         1 - F(X)

  2.3220431e+01  0.0000000e+00

  2.7220431e+01  0.0000000e+00

  3.1220431e+01  0.0000000e+00

  3.5220431e+01  0.0000000e+00

  3.9220431e+01  0.0000000e+00

 TEST OF UNDERFLOW FOR VERY SMALL ARGUMENT.

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