flang/module/ieee_arithmetic.f90

!===-- module/ieee_arithmetic.f90 ------------------------------------------===!
!
! Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
! See https://llvm.org/LICENSE.txt for license information.
! SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
!
!===------------------------------------------------------------------------===!

! Fortran 2018 Clause 17

include '../include/flang/Runtime/magic-numbers.h'

module ieee_arithmetic
  ! F18 Clause 17.1p1:
  ! The module IEEE_ARITHMETIC behaves as if it contained a USE statement for
  ! IEEE_EXCEPTIONS; everything that is public in IEEE_EXCEPTIONS is public in
  ! IEEE_ARITHMETIC.
  use __fortran_ieee_exceptions

  use __fortran_builtins, only: &
    ieee_away => __builtin_ieee_away, &
    ieee_down => __builtin_ieee_down, &
    ieee_fma => __builtin_fma, &
    ieee_is_nan => __builtin_ieee_is_nan, &
    ieee_is_negative => __builtin_ieee_is_negative, &
    ieee_is_normal => __builtin_ieee_is_normal, &
    ieee_nearest => __builtin_ieee_nearest, &
    ieee_next_after => __builtin_ieee_next_after, &
    ieee_next_down => __builtin_ieee_next_down, &
    ieee_next_up => __builtin_ieee_next_up, &
    ieee_other => __builtin_ieee_other, &
    ieee_round_type => __builtin_ieee_round_type, &
    ieee_scalb => scale, &
    ieee_selected_real_kind => __builtin_ieee_selected_real_kind, &
    ieee_support_datatype => __builtin_ieee_support_datatype, &
    ieee_support_denormal => __builtin_ieee_support_denormal, &
    ieee_support_divide => __builtin_ieee_support_divide, &
    ieee_support_inf => __builtin_ieee_support_inf, &
    ieee_support_io => __builtin_ieee_support_io, &
    ieee_support_nan => __builtin_ieee_support_nan, &
    ieee_support_rounding => __builtin_ieee_support_rounding, &
    ieee_support_sqrt => __builtin_ieee_support_sqrt, &
    ieee_support_standard => __builtin_ieee_support_standard, &
    ieee_support_subnormal => __builtin_ieee_support_subnormal, &
    ieee_support_underflow_control => __builtin_ieee_support_underflow_control, &
    ieee_to_zero => __builtin_ieee_to_zero, &
    ieee_up => __builtin_ieee_up


  implicit none

  ! Set PRIVATE by default to explicitly only export what is meant
  ! to be exported by this MODULE.
  private

  ! Explicitly export the symbols from __fortran_builtins
  public :: ieee_away
  public :: ieee_down
  public :: ieee_fma
  public :: ieee_is_nan
  public :: ieee_is_negative
  public :: ieee_is_normal
  public :: ieee_nearest
  public :: ieee_other
  public :: ieee_next_after
  public :: ieee_next_down
  public :: ieee_next_up
  public :: ieee_round_type
  public :: ieee_scalb
  public :: ieee_selected_real_kind
  public :: ieee_support_datatype
  public :: ieee_support_denormal
  public :: ieee_support_divide
  public :: ieee_support_inf
  public :: ieee_support_io
  public :: ieee_support_nan
  public :: ieee_support_rounding
  public :: ieee_support_sqrt
  public :: ieee_support_standard
  public :: ieee_support_subnormal
  public :: ieee_support_underflow_control
  public :: ieee_to_zero
  public :: ieee_up

  ! Explicitly export the symbols from __fortran_ieee_exceptions
  public :: ieee_flag_type
  public :: ieee_invalid
  public :: ieee_overflow
  public :: ieee_divide_by_zero
  public :: ieee_underflow
  public :: ieee_inexact
  public :: ieee_denorm
  public :: ieee_usual
  public :: ieee_all
  public :: ieee_modes_type
  public :: ieee_status_type
  public :: ieee_get_flag
  public :: ieee_get_halting_mode
  public :: ieee_get_modes
  public :: ieee_get_status
  public :: ieee_set_flag
  public :: ieee_set_halting_mode
  public :: ieee_set_modes
  public :: ieee_set_status
  public :: ieee_support_flag
  public :: ieee_support_halting

  type, public :: ieee_class_type
    private
    integer(kind=1) :: which = 0
  end type ieee_class_type

  type(ieee_class_type), parameter, public :: &
    ieee_signaling_nan = ieee_class_type(_FORTRAN_RUNTIME_IEEE_SIGNALING_NAN), &
    ieee_quiet_nan = ieee_class_type(_FORTRAN_RUNTIME_IEEE_QUIET_NAN), &
    ieee_negative_inf = ieee_class_type(_FORTRAN_RUNTIME_IEEE_NEGATIVE_INF), &
    ieee_negative_normal = &
        ieee_class_type(_FORTRAN_RUNTIME_IEEE_NEGATIVE_NORMAL), &
    ieee_negative_subnormal = &
        ieee_class_type(_FORTRAN_RUNTIME_IEEE_NEGATIVE_SUBNORMAL), &
    ieee_negative_zero = ieee_class_type(_FORTRAN_RUNTIME_IEEE_NEGATIVE_ZERO), &
    ieee_positive_zero = ieee_class_type(_FORTRAN_RUNTIME_IEEE_POSITIVE_ZERO), &
    ieee_positive_subnormal = &
         ieee_class_type(_FORTRAN_RUNTIME_IEEE_POSITIVE_SUBNORMAL), &
    ieee_positive_normal = &
        ieee_class_type(_FORTRAN_RUNTIME_IEEE_POSITIVE_NORMAL), &
    ieee_positive_inf = ieee_class_type(_FORTRAN_RUNTIME_IEEE_POSITIVE_INF), &
    ieee_other_value = ieee_class_type(_FORTRAN_RUNTIME_IEEE_OTHER_VALUE)

  type(ieee_class_type), parameter, public :: &
    ieee_negative_denormal = ieee_negative_subnormal, &
    ieee_positive_denormal = ieee_positive_subnormal

  interface operator(==)
    elemental logical function ieee_class_eq(x, y)
      import ieee_class_type
      type(ieee_class_type), intent(in) :: x, y
    end function ieee_class_eq
    elemental logical function ieee_round_eq(x, y)
      import ieee_round_type
      type(ieee_round_type), intent(in) :: x, y
    end function ieee_round_eq
  end interface operator(==)
  public :: operator(==)

  interface operator(/=)
    elemental logical function ieee_class_ne(x, y)
      import ieee_class_type
      type(ieee_class_type), intent(in) :: x, y
    end function ieee_class_ne
    elemental logical function ieee_round_ne(x, y)
      import ieee_round_type
      type(ieee_round_type), intent(in) :: x, y
    end function ieee_round_ne
  end interface operator(/=)
  public :: operator(/=)

! Define specifics with 1 or 2 INTEGER, LOGICAL, or REAL arguments for
! generic G.
#define SPECIFICS_I(G) \
  G(1) G(2) G(4) G(8) G(16)
#define SPECIFICS_L(G) \
  G(1) G(2) G(4) G(8)
#if __x86_64__
#define SPECIFICS_R(G) \
  G(2) G(3) G(4) G(8) G(10) G(16)
#else
#define SPECIFICS_R(G) \
  G(2) G(3) G(4) G(8) G(16)
#endif
#define SPECIFICS_II(G) \
  G(1,1) G(1,2) G(1,4) G(1,8) G(1,16) \
  G(2,1) G(2,2) G(2,4) G(2,8) G(2,16) \
  G(4,1) G(4,2) G(4,4) G(4,8) G(4,16) \
  G(8,1) G(8,2) G(8,4) G(8,8) G(8,16) \
  G(16,1) G(16,2) G(16,4) G(16,8) G(16,16)
#if __x86_64__
#define SPECIFICS_RI(G) \
  G(2,1) G(2,2) G(2,4) G(2,8) G(2,16) \
  G(3,1) G(3,2) G(3,4) G(3,8) G(3,16) \
  G(4,1) G(4,2) G(4,4) G(4,8) G(4,16) \
  G(8,1) G(8,2) G(8,4) G(8,8) G(8,16) \
  G(10,1) G(10,2) G(10,4) G(10,8) G(10,16) \
  G(16,1) G(16,2) G(16,4) G(16,8) G(16,16)
#else
#define SPECIFICS_RI(G) \
  G(2,1) G(2,2) G(2,4) G(2,8) G(2,16) \
  G(3,1) G(3,2) G(3,4) G(3,8) G(3,16) \
  G(4,1) G(4,2) G(4,4) G(4,8) G(4,16) \
  G(8,1) G(8,2) G(8,4) G(8,8) G(8,16) \
  G(16,1) G(16,2) G(16,4) G(16,8) G(16,16)
#endif

#if __x86_64__
#define SPECIFICS_RR(G) \
  G(2,2) G(2,3) G(2,4) G(2,8) G(2,10) G(2,16) \
  G(3,2) G(3,3) G(3,4) G(3,8) G(3,10) G(3,16) \
  G(4,2) G(4,3) G(4,4) G(4,8) G(4,10) G(4,16) \
  G(8,2) G(8,3) G(8,4) G(8,8) G(8,10) G(8,16) \
  G(10,2) G(10,3) G(10,4) G(10,8) G(10,10) G(10,16) \
  G(16,2) G(16,3) G(16,4) G(16,8) G(16,10) G(16,16)
#else
#define SPECIFICS_RR(G) \
  G(2,2) G(2,3) G(2,4) G(2,8) G(2,16) \
  G(3,2) G(3,3) G(3,4) G(3,8) G(3,16) \
  G(4,2) G(4,3) G(4,4) G(4,8) G(4,16) \
  G(8,2) G(8,3) G(8,4) G(8,8) G(8,16) \
  G(16,2) G(16,3) G(16,4) G(16,8) G(16,16)
#endif

#define IEEE_CLASS_R(XKIND) \
  elemental type(ieee_class_type) function ieee_class_a##XKIND(x); \
    import ieee_class_type; \
    real(XKIND), intent(in) :: x; \
  end function ieee_class_a##XKIND;
  interface ieee_class
    SPECIFICS_R(IEEE_CLASS_R)
  end interface ieee_class
  public :: ieee_class
#undef IEEE_CLASS_R

#define IEEE_COPY_SIGN_RR(XKIND, YKIND) \
  elemental real(XKIND) function ieee_copy_sign_a##XKIND##_a##YKIND(x, y); \
    real(XKIND), intent(in) :: x; \
    real(YKIND), intent(in) :: y; \
  end function ieee_copy_sign_a##XKIND##_a##YKIND;
  interface ieee_copy_sign
    SPECIFICS_RR(IEEE_COPY_SIGN_RR)
  end interface ieee_copy_sign
  public :: ieee_copy_sign
#undef IEEE_COPY_SIGN_RR

#define IEEE_GET_ROUNDING_MODE_I(RKIND) \
  subroutine ieee_get_rounding_mode_i##RKIND(round_value, radix); \
    import ieee_round_type; \
    type(ieee_round_type), intent(out) :: round_value; \
    integer(RKIND), intent(in) :: radix; \
  end subroutine ieee_get_rounding_mode_i##RKIND;
  interface ieee_get_rounding_mode
    subroutine ieee_get_rounding_mode_0(round_value)
      import ieee_round_type
      type(ieee_round_type), intent(out) :: round_value
    end subroutine ieee_get_rounding_mode_0
    SPECIFICS_I(IEEE_GET_ROUNDING_MODE_I)
  end interface ieee_get_rounding_mode
  public :: ieee_get_rounding_mode
#undef IEEE_GET_ROUNDING_MODE_I

#define IEEE_GET_UNDERFLOW_MODE_L(GKIND) \
  subroutine ieee_get_underflow_mode_l##GKIND(gradual); \
    logical(GKIND), intent(out) :: gradual; \
  end subroutine ieee_get_underflow_mode_l##GKIND;
  interface ieee_get_underflow_mode
    SPECIFICS_L(IEEE_GET_UNDERFLOW_MODE_L)
  end interface ieee_get_underflow_mode
  public ::  ieee_get_underflow_mode
#undef IEEE_GET_UNDERFLOW_MODE_L

! When kind argument is present, kind(result) is value(kind), not kind(kind).
! That is not known here, so return integer(16).
#define IEEE_INT_R(AKIND) \
  elemental integer function ieee_int_a##AKIND(a, round); \
    import ieee_round_type; \
    real(AKIND), intent(in) :: a; \
    type(ieee_round_type), intent(in) :: round; \
  end function ieee_int_a##AKIND;
#define IEEE_INT_RI(AKIND, KKIND) \
  elemental integer(16) function ieee_int_a##AKIND##_i##KKIND(a, round, kind); \
    import ieee_round_type; \
    real(AKIND), intent(in) :: a; \
    type(ieee_round_type), intent(in) :: round; \
    integer(KKIND), intent(in) :: kind; \
  end function ieee_int_a##AKIND##_i##KKIND;
  interface ieee_int
    SPECIFICS_R(IEEE_INT_R)
    SPECIFICS_RI(IEEE_INT_RI)
  end interface ieee_int
  public :: ieee_int
#undef IEEE_INT_R
#undef IEEE_INT_RI

#define IEEE_IS_FINITE_R(XKIND) \
  elemental logical function ieee_is_finite_a##XKIND(x); \
    real(XKIND), intent(in) :: x; \
  end function ieee_is_finite_a##XKIND;
  interface ieee_is_finite
    SPECIFICS_R(IEEE_IS_FINITE_R)
  end interface ieee_is_finite
  public :: ieee_is_finite
#undef IEEE_IS_FINITE_R

#define IEEE_LOGB_R(XKIND) \
  elemental real(XKIND) function ieee_logb_a##XKIND(x); \
    real(XKIND), intent(in) :: x; \
  end function ieee_logb_a##XKIND;
  interface ieee_logb
    SPECIFICS_R(IEEE_LOGB_R)
  end interface ieee_logb
  public :: ieee_logb
#undef IEEE_LOGB_R

#define IEEE_MAX_R(XKIND) \
  elemental real(XKIND) function ieee_max_a##XKIND(x, y); \
    real(XKIND), intent(in) :: x, y; \
  end function ieee_max_a##XKIND;
  interface ieee_max
    SPECIFICS_R(IEEE_MAX_R)
  end interface ieee_max
  public :: ieee_max
#undef IEEE_MAX_R

#define IEEE_MAX_MAG_R(XKIND) \
  elemental real(XKIND) function ieee_max_mag_a##XKIND(x, y); \
    real(XKIND), intent(in) :: x, y; \
  end function ieee_max_mag_a##XKIND;
  interface ieee_max_mag
    SPECIFICS_R(IEEE_MAX_MAG_R)
  end interface ieee_max_mag
  public :: ieee_max_mag
#undef IEEE_MAX_MAG_R

#define IEEE_MAX_NUM_R(XKIND) \
  elemental real(XKIND) function ieee_max_num_a##XKIND(x, y); \
    real(XKIND), intent(in) :: x, y; \
  end function ieee_max_num_a##XKIND;
  interface ieee_max_num
    SPECIFICS_R(IEEE_MAX_NUM_R)
  end interface ieee_max_num
  public :: ieee_max_num
#undef IEEE_MAX_NUM_R

#define IEEE_MAX_NUM_MAG_R(XKIND) \
  elemental real(XKIND) function ieee_max_num_mag_a##XKIND(x, y); \
    real(XKIND), intent(in) :: x, y; \
  end function ieee_max_num_mag_a##XKIND;
  interface ieee_max_num_mag
    SPECIFICS_R(IEEE_MAX_NUM_MAG_R)
  end interface ieee_max_num_mag
  public :: ieee_max_num_mag
#undef IEEE_MAX_NUM_MAG_R

#define IEEE_MIN_R(XKIND) \
  elemental real(XKIND) function ieee_min_a##XKIND(x, y); \
    real(XKIND), intent(in) :: x, y; \
  end function ieee_min_a##XKIND;
  interface ieee_min
    SPECIFICS_R(IEEE_MIN_R)
  end interface ieee_min
  public :: ieee_min
#undef IEEE_MIN_R

#define IEEE_MIN_MAG_R(XKIND) \
  elemental real(XKIND) function ieee_min_mag_a##XKIND(x, y); \
    real(XKIND), intent(in) :: x, y; \
  end function ieee_min_mag_a##XKIND;
  interface ieee_min_mag
    SPECIFICS_R(IEEE_MIN_MAG_R)
  end interface ieee_min_mag
  public :: ieee_min_mag
#undef IEEE_MIN_MAG_R

#define IEEE_MIN_NUM_R(XKIND) \
  elemental real(XKIND) function ieee_min_num_a##XKIND(x, y); \
    real(XKIND), intent(in) :: x, y; \
  end function ieee_min_num_a##XKIND;
  interface ieee_min_num
    SPECIFICS_R(IEEE_MIN_NUM_R)
  end interface ieee_min_num
  public :: ieee_min_num
#undef IEEE_MIN_NUM_R

#define IEEE_MIN_NUM_MAG_R(XKIND) \
  elemental real(XKIND) function ieee_min_num_mag_a##XKIND(x, y); \
    real(XKIND), intent(in) :: x, y; \
  end function ieee_min_num_mag_a##XKIND;
  interface ieee_min_num_mag
    SPECIFICS_R(IEEE_MIN_NUM_MAG_R)
  end interface ieee_min_num_mag
  public ::ieee_min_num_mag
#undef IEEE_MIN_NUM_MAG_R

#define IEEE_QUIET_EQ_R(AKIND) \
  elemental logical function ieee_quiet_eq_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_quiet_eq_a##AKIND;
  interface ieee_quiet_eq
    SPECIFICS_R(IEEE_QUIET_EQ_R)
  end interface ieee_quiet_eq
  public :: ieee_quiet_eq
#undef IEEE_QUIET_EQ_R

#define IEEE_QUIET_GE_R(AKIND) \
  elemental logical function ieee_quiet_ge_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_quiet_ge_a##AKIND;
  interface ieee_quiet_ge
    SPECIFICS_R(IEEE_QUIET_GE_R)
  end interface ieee_quiet_ge
  public :: ieee_quiet_ge
#undef IEEE_QUIET_GE_R

#define IEEE_QUIET_GT_R(AKIND) \
  elemental logical function ieee_quiet_gt_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_quiet_gt_a##AKIND;
  interface ieee_quiet_gt
    SPECIFICS_R(IEEE_QUIET_GT_R)
  end interface ieee_quiet_gt
  public :: ieee_quiet_gt
#undef IEEE_QUIET_GT_R

#define IEEE_QUIET_LE_R(AKIND) \
  elemental logical function ieee_quiet_le_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_quiet_le_a##AKIND;
  interface ieee_quiet_le
    SPECIFICS_R(IEEE_QUIET_LE_R)
  end interface ieee_quiet_le
  public :: ieee_quiet_le
#undef IEEE_QUIET_LE_R

#define IEEE_QUIET_LT_R(AKIND) \
  elemental logical function ieee_quiet_lt_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_quiet_lt_a##AKIND;
  interface ieee_quiet_lt
    SPECIFICS_R(IEEE_QUIET_LT_R)
  end interface ieee_quiet_lt
  public :: ieee_quiet_lt
#undef IEEE_QUIET_LT_R

#define IEEE_QUIET_NE_R(AKIND) \
  elemental logical function ieee_quiet_ne_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_quiet_ne_a##AKIND;
  interface ieee_quiet_ne
    SPECIFICS_R(IEEE_QUIET_NE_R)
  end interface ieee_quiet_ne
  public :: ieee_quiet_ne
#undef IEEE_QUIET_NE_R

! When kind argument is present, kind(result) is value(kind), not kind(kind).
! That is not known here, so return real(16).
#define IEEE_REAL_I(AKIND) \
  elemental real function ieee_real_i##AKIND(a); \
    integer(AKIND), intent(in) :: a; \
  end function ieee_real_i##AKIND;
#define IEEE_REAL_R(AKIND) \
  elemental real function ieee_real_a##AKIND(a); \
    real(AKIND), intent(in) :: a; \
  end function ieee_real_a##AKIND;
#define IEEE_REAL_II(AKIND, KKIND) \
  elemental real(16) function ieee_real_i##AKIND##_i##KKIND(a, kind); \
    integer(AKIND), intent(in) :: a; \
    integer(KKIND), intent(in) :: kind; \
  end function ieee_real_i##AKIND##_i##KKIND;
#define IEEE_REAL_RI(AKIND, KKIND) \
  elemental real(16) function ieee_real_a##AKIND##_i##KKIND(a, kind); \
    real(AKIND), intent(in) :: a; \
    integer(KKIND), intent(in) :: kind; \
  end function ieee_real_a##AKIND##_i##KKIND;
  interface ieee_real
    SPECIFICS_I(IEEE_REAL_I)
    SPECIFICS_R(IEEE_REAL_R)
    SPECIFICS_II(IEEE_REAL_II)
    SPECIFICS_RI(IEEE_REAL_RI)
  end interface ieee_real
  public :: ieee_real
#undef IEEE_REAL_I
#undef IEEE_REAL_R
#undef IEEE_REAL_II
#undef IEEE_REAL_RI

#define IEEE_REM_RR(XKIND, YKIND) \
  elemental real(XKIND) function ieee_rem_a##XKIND##_a##YKIND(x, y); \
    real(XKIND), intent(in) :: x; \
    real(YKIND), intent(in) :: y; \
  end function ieee_rem_a##XKIND##_a##YKIND;
  interface ieee_rem
    SPECIFICS_RR(IEEE_REM_RR)
  end interface ieee_rem
  public :: ieee_rem
#undef IEEE_REM_RR

#define IEEE_RINT_R(XKIND) \
  elemental real(XKIND) function ieee_rint_a##XKIND(x, round); \
    import ieee_round_type; \
    real(XKIND), intent(in) :: x; \
    type(ieee_round_type), optional, intent(in) :: round; \
  end function ieee_rint_a##XKIND;
  interface ieee_rint
    SPECIFICS_R(IEEE_RINT_R)
  end interface ieee_rint
  public :: ieee_rint
#undef IEEE_RINT_R

#define IEEE_SET_ROUNDING_MODE_I(RKIND) \
  subroutine ieee_set_rounding_mode_i##RKIND(round_value, radix); \
    import ieee_round_type; \
    type(ieee_round_type), intent(in) :: round_value; \
    integer(RKIND), intent(in) :: radix; \
  end subroutine ieee_set_rounding_mode_i##RKIND;
  interface ieee_set_rounding_mode
    subroutine ieee_set_rounding_mode_0(round_value)
      import ieee_round_type
      type(ieee_round_type), intent(in) :: round_value
    end subroutine ieee_set_rounding_mode_0
    SPECIFICS_I(IEEE_SET_ROUNDING_MODE_I)
  end interface ieee_set_rounding_mode
  public :: ieee_set_rounding_mode
#undef IEEE_SET_ROUNDING_MODE_I

#define IEEE_SET_UNDERFLOW_MODE_L(GKIND) \
  subroutine ieee_set_underflow_mode_l##GKIND(gradual); \
    logical(GKIND), intent(in) :: gradual; \
  end subroutine ieee_set_underflow_mode_l##GKIND;
  interface ieee_set_underflow_mode
    SPECIFICS_L(IEEE_SET_UNDERFLOW_MODE_L)
  end interface ieee_set_underflow_mode
  public :: ieee_set_underflow_mode
#undef IEEE_SET_UNDERFLOW_MODE_L

#define IEEE_SIGNALING_EQ_R(AKIND) \
  elemental logical function ieee_signaling_eq_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_signaling_eq_a##AKIND;
  interface ieee_signaling_eq
    SPECIFICS_R(IEEE_SIGNALING_EQ_R)
  end interface ieee_signaling_eq
  public :: ieee_signaling_eq
#undef IEEE_SIGNALING_EQ_R

#define IEEE_SIGNALING_GE_R(AKIND) \
  elemental logical function ieee_signaling_ge_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_signaling_ge_a##AKIND;
  interface ieee_signaling_ge
    SPECIFICS_R(IEEE_SIGNALING_GE_R)
  end interface ieee_signaling_ge
  public :: ieee_signaling_ge
#undef IEEE_SIGNALING_GE_R

#define IEEE_SIGNALING_GT_R(AKIND) \
  elemental logical function ieee_signaling_gt_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_signaling_gt_a##AKIND;
  interface ieee_signaling_gt
    SPECIFICS_R(IEEE_SIGNALING_GT_R)
  end interface ieee_signaling_gt
  public :: ieee_signaling_gt
#undef IEEE_SIGNALING_GT_R

#define IEEE_SIGNALING_LE_R(AKIND) \
  elemental logical function ieee_signaling_le_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_signaling_le_a##AKIND;
  interface ieee_signaling_le
    SPECIFICS_R(IEEE_SIGNALING_LE_R)
  end interface ieee_signaling_le
  public :: ieee_signaling_le
#undef IEEE_SIGNALING_LE_R

#define IEEE_SIGNALING_LT_R(AKIND) \
  elemental logical function ieee_signaling_lt_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_signaling_lt_a##AKIND;
  interface ieee_signaling_lt
    SPECIFICS_R(IEEE_SIGNALING_LT_R)
  end interface ieee_signaling_lt
  public :: ieee_signaling_lt
#undef IEEE_SIGNALING_LT_R

#define IEEE_SIGNALING_NE_R(AKIND) \
  elemental logical function ieee_signaling_ne_a##AKIND(a, b); \
    real(AKIND), intent(in) :: a, b; \
  end function ieee_signaling_ne_a##AKIND;
  interface ieee_signaling_ne
    SPECIFICS_R(IEEE_SIGNALING_NE_R)
  end interface ieee_signaling_ne
  public :: ieee_signaling_ne
#undef IEEE_SIGNALING_NE_R

#define IEEE_SIGNBIT_R(XKIND) \
  elemental logical function ieee_signbit_a##XKIND(x); \
    real(XKIND), intent(in) :: x; \
  end function ieee_signbit_a##XKIND;
  interface ieee_signbit
    SPECIFICS_R(IEEE_SIGNBIT_R)
  end interface ieee_signbit
  public :: ieee_signbit
#undef IEEE_SIGNBIT_R

#define IEEE_UNORDERED_RR(XKIND, YKIND) \
  elemental logical function ieee_unordered_a##XKIND##_a##YKIND(x, y); \
    real(XKIND), intent(in) :: x; \
    real(YKIND), intent(in) :: y; \
  end function ieee_unordered_a##XKIND##_a##YKIND;
  interface ieee_unordered
    SPECIFICS_RR(IEEE_UNORDERED_RR)
  end interface ieee_unordered
  public :: ieee_unordered
#undef IEEE_UNORDERED_RR

#define IEEE_VALUE_R(XKIND) \
  elemental real(XKIND) function ieee_value_a##XKIND(x, class); \
    import ieee_class_type; \
    real(XKIND), intent(in) :: x; \
    type(ieee_class_type), intent(in) :: class; \
  end function ieee_value_a##XKIND;
  interface ieee_value
    SPECIFICS_R(IEEE_VALUE_R)
  end interface ieee_value
  public :: ieee_value
#undef IEEE_VALUE_R

end module ieee_arithmetic