1Test of anorm(x) vs double series expansion


   2000 Random arguments were tested from the interval ( -0.663,  0.663)


  ANORM(X) was larger   269 times,
               agreed  1556 times, and
          was smaller   175 times.


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


 The maximum relative error of     0.4336E-15 =    2 ** -51.03
    occurred for X =-0.655489E+00
 The estimated loss of base   2 significant digits is   1.97


 The root mean square relative error was     0.8999E-16 =    2 ** -53.30
 The estimated loss of base   2 significant digits is   0.00





 Test of anorm(x) vs Taylor series about x-1/2


   2000 Random arguments were tested from the interval ( -5.657, -0.663)


  ANORM(X) was larger   568 times,
               agreed   382 times, and
          was smaller  1050 times.


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


 The maximum relative error of     0.1113E-14 =    2 ** -49.67
    occurred for X =-0.335996E+01
 The estimated loss of base   2 significant digits is   3.33


 The root mean square relative error was     0.3152E-15 =    2 ** -51.49
 The estimated loss of base   2 significant digits is   1.51





 Test of anorm(x) vs Taylor series about x-1/2


   2000 Random arguments were tested from the interval (-37.000, -5.657)


  ANORM(X) was larger   497 times,
               agreed   540 times, and
          was smaller   963 times.


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


 The maximum relative error of     0.7680E-15 =    2 ** -50.21
    occurred for X =-0.127066E+02
 The estimated loss of base   2 significant digits is   2.79


 The root mean square relative error was     0.2356E-15 =    2 ** -51.91
 The estimated loss of base   2 significant digits is   1.09


1Special Tests


       Check of identity anorm(X) + anorm(-X) = 1.0

         X            ANORM(-x)   ANORM(x)+ANORM(-x)-1

    0.766659E+01    0.883149E-14    0.000000E+00

    0.237098E+01    0.887044E-02    0.000000E+00

    0.910353E+01    0.437196E-19    0.000000E+00

    0.310169E+01    0.962093E-03    0.000000E+00

    0.122276E+00    0.451340E+00    0.000000E+00

    0.509703E+01    0.172509E-06    0.000000E+00

    0.583719E+01    0.265448E-08    0.000000E+00

    0.559129E+01    0.112695E-07    0.000000E+00

    0.279029E+01    0.263308E-02    0.000000E+00

    0.632259E+01    0.128604E-09    0.000000E+00



 Test of special arguments


 ANORM ( 0.179769+309) =  0.100000E+01


 ANORM ( 0.000000E+00) =  0.500000E+00


 ANORM (-0.179769+309) =  0.000000E+00


 Test of Error Returns



 ANORM will be called with the argument -0.281395E+02
 The result should not underflow


 ANORM returned the value 0.160919-173



 ANORM will be called with the argument -0.375194E+02
 The result may underflow


 ANORM returned the value 0.000000E+00



 This concludes the tests
