1Test of Dawson's Integral vs Taylor expansion


   2000 Random arguments were tested from the interval ( 0.06, 1.00)


  F(X) was larger   486 times,
           agreed   995 times, and
      was smaller   519 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum relative error of     0.2317E-06 =    2 ** -22.04
    occurred for X = 0.714561E+00
 The estimated loss of base   2 significant digits is   1.96


 The root mean square relative error was     0.7210E-07 =    2 ** -23.73
 The estimated loss of base   2 significant digits is   0.27


1Test of Dawson's Integral vs Taylor expansion


   2000 Random arguments were tested from the interval ( 1.00, 2.50)


  F(X) was larger   625 times,
           agreed   780 times, and
      was smaller   595 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum relative error of     0.3139E-06 =    2 ** -21.60
    occurred for X = 0.208397E+01
 The estimated loss of base   2 significant digits is   2.40


 The root mean square relative error was     0.8907E-07 =    2 ** -23.42
 The estimated loss of base   2 significant digits is   0.58


1Test of Dawson's Integral vs Taylor expansion


   2000 Random arguments were tested from the interval ( 2.50, 5.00)


  F(X) was larger   487 times,
           agreed  1135 times, and
      was smaller   378 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum relative error of     0.2236E-06 =    2 ** -22.09
    occurred for X = 0.389058E+01
 The estimated loss of base   2 significant digits is   1.91


 The root mean square relative error was     0.5779E-07 =    2 ** -24.04
 The estimated loss of base   2 significant digits is   0.00


1Test of Dawson's Integral vs Taylor expansion


   2000 Random arguments were tested from the interval ( 5.00,10.00)


  F(X) was larger   443 times,
           agreed  1098 times, and
      was smaller   459 times.


 There are  24 base   2 significant digits in a floating-point number


 The maximum relative error of     0.2011E-06 =    2 ** -22.25
    occurred for X = 0.682326E+01
 The estimated loss of base   2 significant digits is   1.75


 The root mean square relative error was     0.5788E-07 =    2 ** -24.04
 The estimated loss of base   2 significant digits is   0.00


1Special Tests


       Estimated loss of base  2 significant digits in

        X          F(x)+F(-x)

     2.038            0.00
     1.768            0.00
     2.552            0.00
     0.598            0.00
     1.598            0.00
     0.907            0.00
     1.832            0.00
     0.347            0.00
     3.883            0.00
     3.023            0.00


 Test of special arguments


  F(XMIN) =  0.11754943508222874E-37

 Test of Error Returns



 DAW will be called with the argument 0.423691E+38
 This should not underflow


 DAW returned the value 0.118010E-37



 DAW will be called with the argument 0.425353E+38
 This may underflow


 DAW returned the value 0.000000E+00



 DAW will be called with the argument 0.427014E+38
 This may underflow


 DAW returned the value 0.000000E+00



 This concludes the tests
