1Test of Dawson's Integral vs Taylor expansion


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


  F(X) was larger   512 times,
           agreed   965 times, and
      was smaller   523 times.


 There are  53 base   2 significant digits in a floating-point number


 The maximum relative error of     0.4435E-15 =    2 ** -51.00
    occurred for X = 0.667950E+00
 The estimated loss of base   2 significant digits is   2.00


 The root mean square relative error was     0.1373E-15 =    2 ** -52.69
 The estimated loss of base   2 significant digits is   0.31


1Test of Dawson's Integral vs Taylor expansion


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


  F(X) was larger   659 times,
           agreed   747 times, and
      was smaller   594 times.


 There are  53 base   2 significant digits in a floating-point number


 The maximum relative error of     0.5659E-15 =    2 ** -50.65
    occurred for X = 0.203504E+01
 The estimated loss of base   2 significant digits is   2.35


 The root mean square relative error was     0.1672E-15 =    2 ** -52.41
 The estimated loss of base   2 significant digits is   0.59


1Test of Dawson's Integral vs Taylor expansion


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


  F(X) was larger   526 times,
           agreed  1071 times, and
      was smaller   403 times.


 There are  53 base   2 significant digits in a floating-point number


 The maximum relative error of     0.3844E-15 =    2 ** -51.21
    occurred for X = 0.255777E+01
 The estimated loss of base   2 significant digits is   1.79


 The root mean square relative error was     0.1128E-15 =    2 ** -52.98
 The estimated loss of base   2 significant digits is   0.02


1Test of Dawson's Integral vs Taylor expansion


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


  F(X) was larger   446 times,
           agreed  1107 times, and
      was smaller   447 times.


 There are  53 base   2 significant digits in a floating-point number


 The maximum relative error of     0.3035E-15 =    2 ** -51.55
    occurred for X = 0.556073E+01
 The estimated loss of base   2 significant digits is   1.45


 The root mean square relative error was     0.1066E-15 =    2 ** -53.06
 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) =  0.22250738585072009-307

 Test of Error Returns



 DAW will be called with the argument 0.223834+308
 This should not underflow


 DAW returned the value 0.223380-307



 DAW will be called with the argument 0.224712+308
 This may underflow


 DAW returned the value 0.000000E+00



 DAW will be called with the argument 0.225589+308
 This may underflow


 DAW returned the value 0.000000E+00



 This concludes the tests
