gcc/testsuite/gfortran.dg/bessel_5.f90

   1 ! { dg-do run }
   2 ! { dg-options "-Wall -fno-range-check" }
   3 !
   4 ! PR fortran/36158 - Transformational BESSEL_JN/YN
   5 ! PR fortran/33197 - F2008 math functions
   6 !
   7 ! This is a dg-do run test as the middle end cannot simplify the
   8 ! the scalarization of the elemental function (cf. PR 45305).
   9 !
  10 ! -Wall has been specified to disabled -pedantic, which warns about the
  11 ! negative order (GNU extension) to the order of the Bessel functions of
  12 ! first and second kind.
  13 !
  14
  15 implicit none
  16 integer :: i
  17
  18
  19 ! Difference to mpfr_jn <= 1 epsilon
  20
  21 if (any (abs (BESSEL_JN(2, 5, 2.457) - [(BESSEL_JN(i, 2.457), i = 2, 5)]) &
  22           > epsilon(0.0))) then
  23   print *, 'FAIL 1'
  24   STOP 1
  25 end if
  26
  27
  28 ! Difference to mpfr_yn <= 4 epsilon
  29
  30 if (any (abs (BESSEL_YN(2, 5, 2.457) - [(BESSEL_YN(i, 2.457), i = 2, 5)]) &
  31          > epsilon(0.0)*4)) then
  32   STOP 2
  33 end if
  34
  35
  36 ! Difference to mpfr_jn <= 1 epsilon
  37
  38 if (any (abs (BESSEL_JN(0, 10, 4.457) &
  39               - [ (BESSEL_JN(i, 4.457), i = 0, 10) ]) &
  40          > epsilon(0.0))) then
  41   STOP 3
  42 end if
  43
  44
  45 ! Difference to mpfr_yn <= 192 epsilon
  46
  47 if (any (abs (BESSEL_YN(0, 10, 4.457) &
  48               - [ (BESSEL_YN(i, 4.457), i = 0, 10) ]) &
  49          > epsilon(0.0)*192)) then
  50   STOP 4
  51 end if
  52
  53
  54 ! Difference to mpfr_jn: None.  (Special case: X = 0.0)
  55
  56 if (any (BESSEL_JN(0, 10, 0.0) /= [ (BESSEL_JN(i, 0.0), i = 0, 10) ])) &
  57 then
  58   STOP 5
  59 end if
  60
  61
  62 ! Difference to mpfr_yn: None.  (Special case: X = 0.0)
  63
  64 if (any (BESSEL_YN(0, 10, 0.0) /= [ (BESSEL_YN(i, 0.0), i = 0, 10) ])) &
  65 then
  66   STOP 6
  67 end if
  68
  69
  70 ! Difference to mpfr_jn <= 1 epsilon
  71
  72 if (any (abs (BESSEL_JN(0, 10, 1.0) &
  73               - [ (BESSEL_JN(i, 1.0), i = 0, 10) ]) &
  74          > epsilon(0.0)*1)) then
  75  STOP 7
  76 end if
  77
  78 ! Difference to mpfr_yn <= 32 epsilon
  79
  80 if (any (abs (BESSEL_YN(0, 10, 1.0) &
  81               - [ (BESSEL_YN(i, 1.0), i = 0, 10) ]) &
  82          > epsilon(0.0)*32)) then
  83   STOP 8
  84 end if
  85
  86 end