forked from OSchip/llvm-project
241 lines
8.1 KiB
Fortran
241 lines
8.1 KiB
Fortran
!===-- 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
|
|
!
|
|
!===------------------------------------------------------------------------===!
|
|
|
|
! See Fortran 2018, clause 17.2
|
|
module ieee_arithmetic
|
|
|
|
use __Fortran_builtins, only: &
|
|
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_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
|
|
|
|
type :: ieee_class_type
|
|
private
|
|
integer(kind=1) :: which = 0
|
|
end type ieee_class_type
|
|
|
|
type(ieee_class_type), parameter :: &
|
|
ieee_signaling_nan = ieee_class_type(1), &
|
|
ieee_quiet_nan = ieee_class_type(2), &
|
|
ieee_negative_inf = ieee_class_type(3), &
|
|
ieee_negative_normal = ieee_class_type(4), &
|
|
ieee_negative_denormal = ieee_class_type(5), &
|
|
ieee_negative_zero = ieee_class_type(6), &
|
|
ieee_positive_zero = ieee_class_type(7), &
|
|
ieee_positive_subnormal = ieee_class_type(8), &
|
|
ieee_positive_normal = ieee_class_type(9), &
|
|
ieee_positive_inf = ieee_class_type(10), &
|
|
ieee_other_value = ieee_class_type(11)
|
|
|
|
type(ieee_class_type), parameter :: &
|
|
ieee_negative_subnormal = ieee_negative_denormal, &
|
|
ieee_positive_denormal = ieee_negative_subnormal
|
|
|
|
type :: ieee_round_type
|
|
private
|
|
integer(kind=1) :: mode = 0
|
|
end type ieee_round_type
|
|
|
|
type(ieee_round_type), parameter :: &
|
|
ieee_nearest = ieee_round_type(1), &
|
|
ieee_to_zero = ieee_round_type(2), &
|
|
ieee_up = ieee_round_type(3), &
|
|
ieee_down = ieee_round_type(4), &
|
|
ieee_away = ieee_round_type(5), &
|
|
ieee_other = ieee_round_type(6)
|
|
|
|
interface operator(==)
|
|
module procedure class_eq
|
|
module procedure round_eq
|
|
end interface operator(==)
|
|
interface operator(/=)
|
|
module procedure class_ne
|
|
module procedure round_ne
|
|
end interface operator(/=)
|
|
|
|
! See Fortran 2018, 17.10 & 17.11
|
|
interface ieee_class
|
|
module procedure ieee_class_a2
|
|
module procedure ieee_class_a3
|
|
module procedure ieee_class_a4
|
|
module procedure ieee_class_a8
|
|
module procedure ieee_class_a10
|
|
module procedure ieee_class_a16
|
|
end interface ieee_class
|
|
|
|
interface ieee_copy_sign
|
|
module procedure ieee_copy_sign_a2
|
|
module procedure ieee_copy_sign_a3
|
|
module procedure ieee_copy_sign_a4
|
|
module procedure ieee_copy_sign_a8
|
|
module procedure ieee_copy_sign_a10
|
|
module procedure ieee_copy_sign_a16
|
|
end interface ieee_copy_sign
|
|
|
|
generic :: ieee_support_rounding => ieee_support_rounding_, &
|
|
ieee_support_rounding_2, ieee_support_rounding_3, &
|
|
ieee_support_rounding_4, ieee_support_rounding_8, &
|
|
ieee_support_rounding_10, ieee_support_rounding_16
|
|
private :: ieee_support_rounding_, &
|
|
ieee_support_rounding_2, ieee_support_rounding_3, &
|
|
ieee_support_rounding_4, ieee_support_rounding_8, &
|
|
ieee_support_rounding_10, ieee_support_rounding_16
|
|
|
|
! TODO: more interfaces (_fma, &c.)
|
|
|
|
private :: classify
|
|
|
|
contains
|
|
|
|
elemental logical function class_eq(x,y)
|
|
type(ieee_class_type), intent(in) :: x, y
|
|
class_eq = x%which == y%which
|
|
end function class_eq
|
|
|
|
elemental logical function class_ne(x,y)
|
|
type(ieee_class_type), intent(in) :: x, y
|
|
class_ne = x%which /= y%which
|
|
end function class_ne
|
|
|
|
elemental logical function round_eq(x,y)
|
|
type(ieee_round_type), intent(in) :: x, y
|
|
round_eq = x%mode == y%mode
|
|
end function round_eq
|
|
|
|
elemental logical function round_ne(x,y)
|
|
type(ieee_round_type), intent(in) :: x, y
|
|
round_ne = x%mode /= y%mode
|
|
end function round_ne
|
|
|
|
elemental type(ieee_class_type) function classify( &
|
|
expo,maxExpo,negative,significandNZ,quietBit)
|
|
integer, intent(in) :: expo, maxExpo
|
|
logical, intent(in) :: negative, significandNZ, quietBit
|
|
if (expo == 0) then
|
|
if (significandNZ) then
|
|
if (negative) then
|
|
classify = ieee_negative_denormal
|
|
else
|
|
classify = ieee_positive_denormal
|
|
end if
|
|
else
|
|
if (negative) then
|
|
classify = ieee_negative_zero
|
|
else
|
|
classify = ieee_positive_zero
|
|
end if
|
|
end if
|
|
else if (expo == maxExpo) then
|
|
if (significandNZ) then
|
|
if (quietBit) then
|
|
classify = ieee_quiet_nan
|
|
else
|
|
classify = ieee_signaling_nan
|
|
end if
|
|
else
|
|
if (negative) then
|
|
classify = ieee_negative_inf
|
|
else
|
|
classify = ieee_positive_inf
|
|
end if
|
|
end if
|
|
else
|
|
if (negative) then
|
|
classify = ieee_negative_normal
|
|
else
|
|
classify = ieee_positive_normal
|
|
end if
|
|
end if
|
|
end function classify
|
|
|
|
#define _CLASSIFY(RKIND,IKIND,TOTALBITS,PREC,IMPLICIT) \
|
|
type(ieee_class_type) elemental function ieee_class_a##RKIND(x); \
|
|
real(kind=RKIND), intent(in) :: x; \
|
|
integer(kind=IKIND) :: raw; \
|
|
integer, parameter :: significand = PREC - IMPLICIT; \
|
|
integer, parameter :: exponentBits = TOTALBITS - 1 - significand; \
|
|
integer, parameter :: maxExpo = shiftl(1, exponentBits) - 1; \
|
|
integer :: exponent, sign; \
|
|
logical :: negative, nzSignificand, quiet; \
|
|
raw = transfer(x, raw); \
|
|
exponent = ibits(raw, significand, exponentBits); \
|
|
negative = btest(raw, TOTALBITS - 1); \
|
|
nzSignificand = ibits(raw, 0, significand) /= 0; \
|
|
quiet = btest(raw, significand - 1); \
|
|
ieee_class_a##RKIND = classify(exponent, maxExpo, negative, nzSignificand, quiet); \
|
|
end function ieee_class_a##RKIND
|
|
_CLASSIFY(2,2,16,11,1)
|
|
_CLASSIFY(3,2,16,8,1)
|
|
_CLASSIFY(4,4,32,24,1)
|
|
_CLASSIFY(8,8,64,53,1)
|
|
_CLASSIFY(10,16,80,64,0)
|
|
_CLASSIFY(16,16,128,112,1)
|
|
#undef _CLASSIFY
|
|
|
|
! TODO: This might need to be an actual Operation instead
|
|
#define _COPYSIGN(RKIND,IKIND,BITS) \
|
|
real(kind=RKIND) elemental function ieee_copy_sign_a##RKIND(x,y); \
|
|
real(kind=RKIND), intent(in) :: x, y; \
|
|
integer(kind=IKIND) :: xbits, ybits; \
|
|
xbits = transfer(x, xbits); \
|
|
ybits = transfer(y, ybits); \
|
|
xbits = ior(ibclr(xbits, BITS-1), iand(ybits, shiftl(1_##IKIND, BITS-1))); \
|
|
ieee_copy_sign_a##RKIND = transfer(xbits, x); \
|
|
end function ieee_copy_sign_a##RKIND
|
|
_COPYSIGN(2,2,16)
|
|
_COPYSIGN(3,2,16)
|
|
_COPYSIGN(4,4,32)
|
|
_COPYSIGN(8,8,64)
|
|
_COPYSIGN(10,16,80)
|
|
_COPYSIGN(16,16,128)
|
|
#undef _COPYSIGN
|
|
|
|
pure logical function ieee_support_rounding_(round_type)
|
|
type(ieee_round_type), intent(in) :: round_type
|
|
ieee_support_rounding_ = .true.
|
|
end function
|
|
pure logical function ieee_support_rounding_2(round_type,x)
|
|
type(ieee_round_type), intent(in) :: round_type
|
|
real(kind=2), intent(in) :: x
|
|
ieee_support_rounding_2 = .true.
|
|
end function
|
|
pure logical function ieee_support_rounding_3(round_type,x)
|
|
type(ieee_round_type), intent(in) :: round_type
|
|
real(kind=3), intent(in) :: x
|
|
ieee_support_rounding_3 = .true.
|
|
end function
|
|
pure logical function ieee_support_rounding_4(round_type,x)
|
|
type(ieee_round_type), intent(in) :: round_type
|
|
real(kind=4), intent(in) :: x
|
|
ieee_support_rounding_4 = .true.
|
|
end function
|
|
pure logical function ieee_support_rounding_8(round_type,x)
|
|
type(ieee_round_type), intent(in) :: round_type
|
|
real(kind=8), intent(in) :: x
|
|
ieee_support_rounding_8 = .true.
|
|
end function
|
|
pure logical function ieee_support_rounding_10(round_type,x)
|
|
type(ieee_round_type), intent(in) :: round_type
|
|
real(kind=10), intent(in) :: x
|
|
ieee_support_rounding_10 = .true.
|
|
end function
|
|
pure logical function ieee_support_rounding_16(round_type,x)
|
|
type(ieee_round_type), intent(in) :: round_type
|
|
real(kind=16), intent(in) :: x
|
|
ieee_support_rounding_16 = .true.
|
|
end function
|
|
|
|
end module ieee_arithmetic
|