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! { dg-do run }
! { dg-options "-Wall -fno-range-check" }
!
! PR fortran/36158 - Transformational BESSEL_JN/YN
! PR fortran/33197 - F2008 math functions
!
! This is a dg-do run test as the middle end cannot simplify the
! the scalarization of the elemental function (cf. PR 45305).
!
! -Wall has been specified to disabled -pedantic, which warns about the
! negative order (GNU extension) to the order of the Bessel functions of
! first and second kind.
!
implicit none
integer :: i
! Difference to mpfr_jn <= 1 epsilon
if (any (abs (BESSEL_JN(2, 5, 2.457) - [(BESSEL_JN(i, 2.457), i = 2, 5)]) &
> epsilon(0.0))) then
print *, 'FAIL 1'
STOP 1
end if
! Difference to mpfr_yn <= 4 epsilon
if (any (abs (BESSEL_YN(2, 5, 2.457) - [(BESSEL_YN(i, 2.457), i = 2, 5)]) &
> epsilon(0.0)*4)) then
STOP 2
end if
! Difference to mpfr_jn <= 1 epsilon
if (any (abs (BESSEL_JN(0, 10, 4.457) &
- [ (BESSEL_JN(i, 4.457), i = 0, 10) ]) &
> epsilon(0.0))) then
STOP 3
end if
! Difference to mpfr_yn <= 192 epsilon
if (any (abs (BESSEL_YN(0, 10, 4.457) &
- [ (BESSEL_YN(i, 4.457), i = 0, 10) ]) &
> epsilon(0.0)*192)) then
STOP 4
end if
! Difference to mpfr_jn: None. (Special case: X = 0.0)
if (any (BESSEL_JN(0, 10, 0.0) /= [ (BESSEL_JN(i, 0.0), i = 0, 10) ])) &
then
STOP 5
end if
! Difference to mpfr_yn: None. (Special case: X = 0.0)
if (any (BESSEL_YN(0, 10, 0.0) /= [ (BESSEL_YN(i, 0.0), i = 0, 10) ])) &
then
STOP 6
end if
! Difference to mpfr_jn <= 1 epsilon
if (any (abs (BESSEL_JN(0, 10, 1.0) &
- [ (BESSEL_JN(i, 1.0), i = 0, 10) ]) &
> epsilon(0.0)*1)) then
STOP 7
end if
! Difference to mpfr_yn <= 32 epsilon
if (any (abs (BESSEL_YN(0, 10, 1.0) &
- [ (BESSEL_YN(i, 1.0), i = 0, 10) ]) &
> epsilon(0.0)*32)) then
STOP 8
end if
end
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