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hydfinal.f95
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hydfinal.f95
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module hydfinal
!DEC$ ATTRIbUTES DLLEXPORT :: SP, DP, QP, PR
public
integer, parameter :: SP = KIND(1.0)
integer, parameter :: DP = KIND(1.d0)
! integer, parameter :: QP = KIND(1.q0) error 658 - Invalid character '0' in operator name, only 'a-z' and 'A-Z' may be used
integer, parameter :: PR = DP
!real(PR), parameter, private :: pi = ACOS(-1.0_PR)
!complex(PR), parameter, private :: pi_c = (pi, 0.0_PR)
!--- DEFINITION OF THE DERIVED TYPE
TYPE hyperdual
real(PR) :: f0
real(PR) :: f1
real(PR) :: f2
real(PR) :: f12
END TYPE
!================================================================!
! Overloading hyperdual functions !
!================================================================!
!----- Constructor
interface hyd
module procedure hyd_from_dble
end interface
!----- Assignment
interface assignment(=)
module procedure hyd_assign_hyd, hyd_assign_cplx, hyd_assign_dble, hyd_assign_int, &
hyd_array_assign_hyd, hyd_array_assign_hyd_array, hyd_array_assign_dble, &
hyd_array_assign_dble_array, hyd_array_assign_int, hyd_array_assign_int_array, &
hyd_matrix_assign_hyd, hyd_matrix_assign_hyd_matrix, hyd_matrix_assign_dble, &
hyd_matrix_assign_dble_matrix, hyd_matrix_assign_int, hyd_matrix_assign_int_matrix, &
hyd_tens_assign_hyd, hyd_tens_assign_hyd_tens, hyd_tens_assign_dble, &
hyd_tens_assign_dble_tens, hyd_tens_assign_int, hyd_tens_assign_int_tens
end interface
!----- Comparison operators
interface operator(==)
module procedure hyd_eq_hyd, hyd_eq_dble, dble_eq_hyd
end interface
interface operator(/=)
module procedure hyd_ne_hyd, hyd_ne_dble, dble_ne_hyd
end interface
interface operator(>)
module procedure hyd_gt_hyd, hyd_gt_dble, dble_gt_hyd
end interface
interface operator(>=)
module procedure hyd_ge_hyd, hyd_ge_dble, dble_ge_hyd
end interface
interface operator(<)
module procedure hyd_lt_hyd, hyd_lt_dble, dble_lt_hyd
end interface
interface operator(<=)
module procedure hyd_le_hyd, hyd_le_dble, dble_le_hyd
end interface
!----- Arithmetic operators
interface operator (+)
module procedure hyd_plus_hyd, hyd_plus_hyd_array, hyd_plus_hyd_matrix, &
hyd_plus_hyd_tens, hyd_plus_dble, hyd_plus_dble_array, hyd_plus_dble_matrix, &
hyd_plus_dble_tens, hyd_plus_int, hyd_plus_int_array, &
hyd_plus_int_matrix, hyd_plus_int_tens, &
hyd_array_plus_hyd, hyd_array_plus_hyd_array, hyd_array_plus_dble, &
hyd_array_plus_dble_array, hyd_array_plus_int, &
hyd_array_plus_int_array, &
hyd_matrix_plus_hyd, hyd_matrix_plus_hyd_matrix, hyd_matrix_plus_dble, &
hyd_matrix_plus_dble_matrix, hyd_matrix_plus_int, &
hyd_matrix_plus_int_matrix, &
hyd_tens_plus_hyd, hyd_tens_plus_hyd_tens, hyd_tens_plus_dble, &
hyd_tens_plus_dble_tens, hyd_tens_plus_int, &
hyd_tens_plus_int_tens, &
dble_plus_hyd, dble_plus_hyd_array, dble_plus_hyd_matrix, dble_plus_hyd_tens, &
dble_array_plus_hyd, dble_array_plus_hyd_array, &
dble_matrix_plus_hyd, dble_matrix_plus_hyd_matrix, &
dble_tens_plus_hyd, dble_tens_plus_hyd_tens, &
int_plus_hyd, int_plus_hyd_array, int_plus_hyd_matrix, &
int_plus_hyd_tens, &
int_array_plus_hyd, int_array_plus_hyd_array, &
int_matrix_plus_hyd, int_matrix_plus_hyd_matrix, &
int_tens_plus_hyd, int_tens_plus_hyd_tens
end interface
interface operator(-)
module procedure hyd_minus_hyd, hyd_minus_hyd_array, hyd_minus_hyd_matrix, &
hyd_minus_hyd_tens, hyd_minus_dble, hyd_minus_dble_array, hyd_minus_dble_matrix,&
hyd_minus_dble_tens, hyd_minus_int, hyd_minus_int_array, hyd_minus_int_matrix, &
hyd_minus_int_tens, &
hyd_array_minus_hyd, hyd_array_minus_hyd_array, &
hyd_array_minus_dble, hyd_array_minus_dble_array, &
hyd_array_minus_int, hyd_array_minus_int_array, &
hyd_matrix_minus_hyd, hyd_matrix_minus_hyd_matrix, &
hyd_matrix_minus_dble, hyd_matrix_minus_dble_matrix, &
hyd_matrix_minus_int, hyd_matrix_minus_int_matrix, &
hyd_tens_minus_hyd, hyd_tens_minus_hyd_tens, &
hyd_tens_minus_dble, hyd_tens_minus_dble_tens, &
hyd_tens_minus_int, hyd_tens_minus_int_tens, &
dble_minus_hyd, dble_minus_hyd_array, &
dble_minus_hyd_matrix, dble_minus_hyd_tens, &
dble_array_minus_hyd, dble_array_minus_hyd_array, &
dble_matrix_minus_hyd, dble_matrix_minus_hyd_matrix, &
dble_tens_minus_hyd, dble_tens_minus_hyd_tens, &
int_minus_hyd, int_minus_hyd_array, &
int_minus_hyd_matrix, int_minus_hyd_tens, &
int_array_minus_hyd, int_array_minus_hyd_array, &
int_matrix_minus_hyd, int_matrix_minus_hyd_matrix, &
int_tens_minus_hyd, int_tens_minus_hyd_tens, &
minus_hyd, minus_hyd_array, minus_hyd_matrix, &
minus_hyd_tens
end interface
interface operator(*)
module procedure hyd_mul_hyd, hyd_mul_hyd_array, hyd_mul_hyd_matrix, &
hyd_mul_hyd_tens, hyd_mul_dble, hyd_mul_dble_array, hyd_mul_dble_matrix, &
hyd_mul_dble_tens, hyd_mul_int, hyd_mul_int_array, hyd_mul_int_matrix, &
hyd_mul_int_tens, &
hyd_array_mul_hyd, hyd_array_mul_dble, hyd_array_mul_int, &
hyd_matrix_mul_hyd, hyd_matrix_mul_dble, hyd_matrix_mul_int, &
hyd_tens_mul_hyd, hyd_tens_mul_dble, hyd_tens_mul_int, &
dble_mul_hyd, dble_mul_hyd_array, dble_mul_hyd_matrix, &
dble_mul_hyd_tens, &
dble_array_mul_hyd, &
dble_matrix_mul_hyd, &
dble_tens_mul_hyd, &
int_mul_hyd, int_mul_hyd_array, int_mul_hyd_matrix, &
int_mul_hyd_tens, &
int_array_mul_hyd, &
int_matrix_mul_hyd, &
int_tens_mul_hyd
end interface
interface operator(/)
module procedure hyd_div_hyd, hyd_div_dble, hyd_div_int, &
hyd_array_div_hyd, hyd_array_div_dble, hyd_array_div_int, &
hyd_matrix_div_hyd, hyd_matrix_div_dble, hyd_matrix_div_int, &
hyd_tens_div_hyd, hyd_tens_div_dble, hyd_tens_div_int, &
dble_div_hyd, int_div_hyd, &
dble_array_div_hyd, int_array_div_hyd, &
dble_matrix_div_hyd, int_matrix_div_hyd, &
dble_tens_div_hyd, int_tens_div_hyd
end interface
interface operator(**)
module procedure hyd_pow_hyd, hyd_pow_int, hyd_pow_dble
end interface
!----- Intrinsic functions
interface dble
module procedure dble_hyd, dble_hyd_array
end interface
interface abs
module procedure abs_hyd, abs_hyd_array, abs_hyd_matrix
end interface
interface sign
module procedure sign_hyd_hyd
end interface
interface max
module procedure max_hyd_hyd, max_hyd_dble, max_dble_hyd
end interface
interface min
module procedure min_hyd_hyd, min_hyd_dble, min_dble_hyd
end interface
interface maxval
module procedure maxval_hyd_array
end interface
interface cos
module procedure cos_hyd
end interface
interface sin
module procedure sin_hyd
end interface
interface tan
module procedure tan_hyd
end interface
interface sqrt
module procedure sqrt_hyd
end interface
interface acos
module procedure acos_hyd
end interface
interface asin
module procedure asin_hyd
end interface
interface atan
module procedure atan_hyd
end interface
interface matmul
module procedure &
matmul_hyd_array_hyd_matrix, matmul_hyd_array_dble_matrix, &
matmul_hyd_matrix_hyd_array, matmul_hyd_matrix_hyd_matrix, &
matmul_hyd_matrix_dble_array, matmul_hyd_matrix_dble_matrix, &
matmul_dble_array_hyd_matrix, matmul_dble_matrix_hyd_matrix
end interface
interface exp
module procedure exp_hyd
end interface
interface log
module procedure log_hyd
end interface
interface conjg
module procedure conjg_hyd
end interface
!================================================================!
! Overloading COMPLEX functions !
!================================================================!
!==========================================================================!
!==========================================================================!
CONTAINS
!================================================================!
! Overloading hyperdual functions ! h
!================================================================!
!----------------------------------------------------------------!
! CONSTRUCTOR !
!----------------------------------------------------------------!
function hyd_from_dble(f0, f1, f2, f12) result(q)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_from_dble" :: hyd_from_dble
double precision, intent(in) :: f0, f1, f2, f12
TYPE(hyperdual) :: q
q%f0 = f0
q%f1 = f1
q%f2 = f2
q%f12 = f12
return
end function hyd_from_dble
!----------------------------------------------------------------!
! ASSIGNMENT !
!----------------------------------------------------------------!
subroutine hyd_assign_hyd(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_assign_hyd" :: hyd_assign_hyd
TYPE(hyperdual), intent(out) :: lhs
TYPE(hyperdual), intent(in) :: rhs
lhs%f0 = rhs%f0
lhs%f1 = rhs%f1
lhs%f2 = rhs%f2
lhs%f12 = rhs%f12
end subroutine hyd_assign_hyd
subroutine hyd_assign_cplx(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_assign_cplx" :: hyd_assign_cplx
!Work in progress
TYPE(hyperdual), intent(out) :: lhs
complex(PR), intent(in) :: rhs
lhs%f0 = rhs
lhs%f1 = CMPLX(0.0_PR, 0.0_PR, PR)
end subroutine hyd_assign_cplx
subroutine hyd_assign_dble(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_assign_dble" :: hyd_assign_dble
TYPE(hyperdual), intent(out) :: lhs
real(PR), intent(in) :: rhs
lhs%f0 = rhs
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_assign_dble
subroutine hyd_assign_int(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_assign_int" :: hyd_assign_int
TYPE(hyperdual), intent(out) :: lhs
integer, intent(in) :: rhs
lhs%f0 = REAL(rhs,PR)
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_assign_int
subroutine hyd_array_assign_hyd(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_array_assign_hyd" :: hyd_array_assign_hyd
TYPE(hyperdual), dimension(:), intent(out) :: lhs
TYPE(hyperdual), intent(in) :: rhs
lhs%f0 = rhs%f0
lhs%f1 = rhs%f1
lhs%f2 = rhs%f2
lhs%f12 = rhs%f12
end subroutine hyd_array_assign_hyd
subroutine hyd_array_assign_hyd_array(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_array_assign_hyd_array" :: hyd_array_assign_hyd_array
TYPE(hyperdual), dimension(:), intent(out) :: lhs
TYPE(hyperdual), dimension(:), intent(in) :: rhs
lhs%f0 = rhs%f0
lhs%f1 = rhs%f1
lhs%f2 = rhs%f2
lhs%f12 = rhs%f12
end subroutine hyd_array_assign_hyd_array
subroutine hyd_array_assign_dble(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_array_assign_dble" :: hyd_array_assign_dble
TYPE(hyperdual), dimension(:), intent(out) :: lhs
real(PR), intent(in) :: rhs
lhs%f0 = rhs
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_array_assign_dble
subroutine hyd_array_assign_dble_array(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_array_assign_dble_array" :: hyd_array_assign_dble_array
TYPE(hyperdual), dimension(:), intent(out) :: lhs
real(PR), dimension(:), intent(in) :: rhs
lhs%f0 = rhs
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_array_assign_dble_array
subroutine hyd_array_assign_int(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_array_assign_int" :: hyd_array_assign_int
TYPE(hyperdual), dimension(:), intent(out) :: lhs
integer, intent(in) :: rhs
lhs%f0 = rhs
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_array_assign_int
subroutine hyd_array_assign_int_array(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_array_assign_int_array" :: hyd_array_assign_int_array
TYPE(hyperdual), dimension(:), intent(out) :: lhs
integer, dimension(:), intent(in) :: rhs
lhs%f0 = Real(rhs, PR)
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_array_assign_int_array
subroutine hyd_matrix_assign_hyd(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_matrix_assign_hyd" :: hyd_matrix_assign_hyd
TYPE(hyperdual), dimension(:,:), intent(out) :: lhs
TYPE(hyperdual), intent(in) :: rhs
lhs%f0 = rhs%f0
lhs%f1 = rhs%f1
lhs%f2 = rhs%f2
lhs%f12 = rhs%f12
end subroutine hyd_matrix_assign_hyd
subroutine hyd_matrix_assign_hyd_matrix(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_matrix_assign_hyd_matrix" :: hyd_matrix_assign_hyd_matrix
TYPE(hyperdual), dimension(:,:), intent(out) :: lhs
TYPE(hyperdual), dimension(:,:), intent(in) :: rhs
lhs%f0 = rhs%f0
lhs%f1 = rhs%f1
lhs%f2 = rhs%f2
lhs%f12 = rhs%f12
end subroutine hyd_matrix_assign_hyd_matrix
subroutine hyd_matrix_assign_dble(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_matrix_assign_dble" :: hyd_matrix_assign_dble
TYPE(hyperdual), dimension(:,:), intent(out) :: lhs
real(PR), intent(in) :: rhs
lhs%f0 = rhs
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_matrix_assign_dble
subroutine hyd_matrix_assign_dble_matrix(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_matrix_assign_dble_matrix" :: hyd_matrix_assign_dble_matrix
TYPE(hyperdual), dimension(:,:), intent(out) :: lhs
real(PR), dimension(:,:), intent(in) :: rhs
lhs%f0 = rhs
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_matrix_assign_dble_matrix
subroutine hyd_matrix_assign_int(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_matrix_assign_int" :: hyd_matrix_assign_int
TYPE(hyperdual), dimension(:,:), intent(out) :: lhs
integer, intent(in) :: rhs
lhs%f0 = Real(rhs, PR)
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_matrix_assign_int
subroutine hyd_matrix_assign_int_matrix(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_matrix_assign_int_matrix" :: hyd_matrix_assign_int_matrix
TYPE(hyperdual), dimension(:,:), intent(out) :: lhs
integer, dimension(:,:), intent(in) :: rhs
lhs%f0 = Real(rhs, PR)
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_matrix_assign_int_matrix
subroutine hyd_tens_assign_hyd(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_tens_assign_hyd" :: hyd_tens_assign_hyd
TYPE(hyperdual), dimension(:,:,:), intent(out) :: lhs
TYPE(hyperdual), intent(in) :: rhs
lhs%f0 = rhs%f0
lhs%f1 = rhs%f1
lhs%f2 = rhs%f2
lhs%f12 = rhs%f12
end subroutine hyd_tens_assign_hyd
subroutine hyd_tens_assign_hyd_tens(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_tens_assign_hyd_tens" :: hyd_tens_assign_hyd_tens
TYPE(hyperdual), dimension(:,:,:), intent(out) :: lhs
TYPE(hyperdual), dimension(:,:,:), intent(in) :: rhs
lhs%f0 = rhs%f0
lhs%f1 = rhs%f1
lhs%f2 = rhs%f2
lhs%f12 = rhs%f12
end subroutine hyd_tens_assign_hyd_tens
subroutine hyd_tens_assign_dble(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_tens_assign_dble" :: hyd_tens_assign_dble
TYPE(hyperdual), dimension(:,:,:), intent(out) :: lhs
real(PR), intent(in) :: rhs
lhs%f0 = rhs
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_tens_assign_dble
subroutine hyd_tens_assign_dble_tens(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_tens_assign_dble_tens" :: hyd_tens_assign_dble_tens
TYPE(hyperdual), dimension(:,:,:), intent(out) :: lhs
real(PR), dimension(:,:,:), intent(in) :: rhs
lhs%f0 = rhs
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_tens_assign_dble_tens
subroutine hyd_tens_assign_int(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_tens_assign_int" :: hyd_tens_assign_int
TYPE(hyperdual), dimension(:,:,:), intent(out) :: lhs
integer, intent(in) :: rhs
lhs%f0 = Real(rhs, PR)
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_tens_assign_int
subroutine hyd_tens_assign_int_tens(lhs, rhs)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_tens_assign_int_tens" :: hyd_tens_assign_int_tens
TYPE(hyperdual), dimension(:,:,:), intent(out) :: lhs
integer, dimension(:,:,:), intent(in) :: rhs
lhs%f0 = Real(rhs, PR)
lhs%f1 = 0.0_PR
lhs%f2 = 0.0_PR
lhs%f12 = 0.0_PR
end subroutine hyd_tens_assign_int_tens
!----------------------------------------------------------------!
! COMPARISON OPERATORS !
!----------------------------------------------------------------!
! As mentioned in Lantoine [1] and Martins [2], the comparison operators
! must be written so that they ensure that the same branch is followed
! whether the input is real, complex or hyperdual. They will therefore
! only use the real parts of the input: real(cplx) or real(hyd%f0)
!----- EQ operator (==)
function hyd_eq_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_eq_hyd" :: hyd_eq_hyd
TYPE(hyperdual), intent(in) :: lhs, rhs
logical :: bool
bool = (REAL(lhs%f0,PR).EQ.REAL(rhs%f0,PR))
return
end function hyd_eq_hyd
function hyd_eq_dble(lhs, rhs) result(bool)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_eq_dble" :: hyd_eq_dble
TYPE(hyperdual), intent(in) :: lhs
real(PR), intent(in) :: rhs
logical :: bool
bool = (REAL(lhs%f0,PR).EQ.rhs)
end function hyd_eq_dble
function dble_eq_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "dble_eq_hyd" :: dble_eq_hyd
real(PR), intent(in) :: lhs
TYPE(hyperdual), intent(in) :: rhs
logical :: bool
bool = (REAL(rhs%f0,PR).EQ.lhs)
end function dble_eq_hyd
!----- NE operator (/=)
function hyd_ne_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_ne_hyd" :: hyd_ne_hyd
TYPE(hyperdual), intent(in) :: lhs, rhs
logical :: bool
bool = (.NOT.(lhs.EQ.rhs))
end function hyd_ne_hyd
function hyd_ne_dble(lhs, rhs) result(bool)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_ne_dble" :: hyd_ne_dble
TYPE(hyperdual), intent(in) :: lhs
real(PR), intent(in) :: rhs
logical :: bool
bool = (REAL(lhs%f0,PR).NE.rhs)
end function hyd_ne_dble
function dble_ne_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "dble_ne_hyd" :: dble_ne_hyd
real(PR), intent(in) :: lhs
TYPE(hyperdual), intent(in) :: rhs
logical :: bool
bool = (REAL(rhs%f0,PR).NE.lhs)
end function dble_ne_hyd
function hyd_gt_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "hyd_gt_hyd" :: hyd_gt_hyd
logical :: bool
type(hyperdual), intent(in) :: lhs
type(hyperdual), intent(in) :: rhs
bool = lhs%f0 > rhs%f0
return
end function
function hyd_gt_dble(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "hyd_gt_dble" :: hyd_gt_dble
logical :: bool
double precision, intent(in) :: rhs
type(hyperdual), intent(in) :: lhs
bool = lhs%f0 > rhs
return
end function
function dble_gt_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "dble_gt_hyd" :: dble_gt_hyd
logical :: bool
type(hyperdual), intent(in) :: rhs
double precision, intent(in) :: lhs
bool = lhs > rhs%f0
return
end function
!----- GE operator (>=)
function hyd_ge_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "hyd_ge_hyd" :: hyd_ge_hyd
logical :: bool
type(hyperdual), intent(in) :: lhs
type(hyperdual), intent(in) :: rhs
bool = lhs%f0 >= rhs%f0
return
end function
function hyd_ge_dble(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "hyd_ge_dble" :: hyd_ge_dble
logical :: bool
double precision, intent(in) :: rhs
type(hyperdual), intent(in) :: lhs
bool = lhs%f0 >= rhs
return
end function
function dble_ge_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "dble_ge_hyd" :: dble_ge_hyd
logical :: bool
type(hyperdual), intent(in) :: rhs
double precision, intent(in) :: lhs
bool = lhs >= rhs%f0
return
end function
!----- LT operator (<)
function hyd_lt_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "hyd_lt_hyd" :: hyd_lt_hyd
logical :: bool
type(hyperdual), intent(in) :: lhs
type(hyperdual), intent(in) :: rhs
bool = lhs%f0 < rhs%f0
return
end function
function hyd_lt_dble(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "hyd_lt_dble" :: hyd_lt_dble
logical :: bool
type(hyperdual), intent(in) :: lhs
double precision, intent(in) :: rhs
bool = lhs%f0 < rhs
return
end function
function dble_lt_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "dble_lt_hyd" :: dble_lt_hyd
logical :: bool
type(hyperdual), intent(in) :: rhs
double precision, intent(in) :: lhs
bool = lhs < rhs%f0
return
end function
!----- LE operator (<=)
function hyd_le_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "hyd_le_hyd" :: hyd_le_hyd
logical :: bool
type(hyperdual), intent(in) :: lhs
type(hyperdual), intent(in) :: rhs
bool = lhs%f0 <= rhs%f0
return
end function
function hyd_le_dble(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "hyd_le_hyd" :: hyd_le_hyd
logical :: bool
double precision, intent(in) :: rhs
type(hyperdual), intent(in) :: lhs
bool = lhs%f0 <= rhs
return
end function
function dble_le_hyd(lhs, rhs) result(bool)
!DEC$ ATTRIBUTES DLLEXPORT, ALIAS : "dble_le_hyd" :: dble_le_hyd
logical :: bool
type(hyperdual), intent(in) :: rhs
double precision, intent(in) :: lhs
bool = lhs <= rhs%f0
return
end function
!----------------------------------------------------------------!
! ARITHMETIC OPERATORS !
!----------------------------------------------------------------!
!----- Addition operator (+)
function hyd_plus_hyd(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_hyd" :: hyd_plus_hyd
TYPE(hyperdual), intent(in) :: lhs, rhs
TYPE(hyperdual) :: res
res%f0 = lhs%f0 + rhs%f0
res%f1 = lhs%f1 + rhs%f1
res%f2 = lhs%f2 + rhs%f2
res%f12 = lhs%f12 + rhs%f12
return
end function hyd_plus_hyd
function hyd_plus_hyd_array(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_hyd_array" :: hyd_plus_hyd_array
TYPE(hyperdual), intent(in) :: lhs
TYPE(hyperdual), dimension(:), intent(in) :: rhs
TYPE(hyperdual), dimension(size(rhs)) :: res
res%f0 = lhs%f0 + rhs%f0
res%f1 = lhs%f1 + rhs%f1
res%f2 = lhs%f2 + rhs%f2
res%f12 = lhs%f12 + rhs%f12
end function hyd_plus_hyd_array
function hyd_plus_hyd_matrix(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_hyd_matrix" :: hyd_plus_hyd_matrix
TYPE(hyperdual), intent(in) :: lhs
TYPE(hyperdual), dimension(:,:), intent(in) :: rhs
TYPE(hyperdual), dimension(size(rhs,1),size(rhs,2)) :: res
res%f0 = lhs%f0 + rhs%f0
res%f1 = lhs%f1 + rhs%f1
res%f2 = lhs%f2 + rhs%f2
res%f12 = lhs%f12 + rhs%f12
end function hyd_plus_hyd_matrix
function hyd_plus_hyd_tens(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_hyd_tens" :: hyd_plus_hyd_tens
TYPE(hyperdual), intent(in) :: lhs
TYPE(hyperdual), dimension(:,:,:), intent(in) :: rhs
TYPE(hyperdual),&
dimension(size(rhs,1),size(rhs,2),size(rhs,3)) :: res
res%f0 = lhs%f0 + rhs%f0
res%f1 = lhs%f1 + rhs%f1
res%f2 = lhs%f2 + rhs%f2
res%f12 = lhs%f12 + rhs%f12
end function hyd_plus_hyd_tens
function hyd_plus_dble(lhs, rhs) result(res)
!DEC$ AT TRIbUTES DLLEXPORT, ALIAS : "hyd_plus_dble" :: hyd_plus_dble
TYPE(hyperdual), intent(in) :: lhs
real(PR), intent(in) :: rhs
TYPE(hyperdual) :: res
res%f0 = lhs%f0 + rhs
res%f1 = lhs%f1
res%f2 = lhs%f2
res%f12 = lhs%f12
end function hyd_plus_dble
function hyd_plus_dble_array(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_dble_array" :: hyd_plus_dble_array
TYPE(hyperdual), intent(in) :: lhs
real(PR), dimension(:), intent(in) :: rhs
TYPE(hyperdual), dimension(size(rhs)) :: res
res%f0 = lhs%f0 + rhs
res%f1 = lhs%f1
res%f2 = lhs%f2
res%f12 = lhs%f12
end function hyd_plus_dble_array
function hyd_plus_dble_matrix(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_dble_matrix" :: hyd_plus_dble_matrix
TYPE(hyperdual), intent(in) :: lhs
real(PR), dimension(:,:), intent(in) :: rhs
TYPE(hyperdual), dimension(size(rhs,1),size(rhs,2)) :: res
res%f0 = lhs%f0 + rhs
res%f1 = lhs%f1
res%f2 = lhs%f2
res%f12 = lhs%f12
end function hyd_plus_dble_matrix
function hyd_plus_dble_tens(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_dble_tens" :: hyd_plus_dble_tens
TYPE(hyperdual), intent(in) :: lhs
real(PR), dimension(:,:,:), intent(in) :: rhs
TYPE(hyperdual), dimension(size(rhs,1),size(rhs,2),size(rhs,3)) :: res
res%f0 = lhs%f0 + rhs
res%f1 = lhs%f1
res%f2 = lhs%f2
res%f12 = lhs%f12
end function hyd_plus_dble_tens
function hyd_plus_int(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_int" :: hyd_plus_int
TYPE(hyperdual), intent(in) :: lhs
integer, intent(in) :: rhs
TYPE(hyperdual) :: res
res%f0 = lhs%f0 + REAL(rhs,PR)
res%f1 = lhs%f1
res%f2 = lhs%f2
res%f12 = lhs%f12
return
end function hyd_plus_int
function hyd_plus_int_array(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_int_array" :: hyd_plus_int_array
TYPE(hyperdual), intent(in) :: lhs
integer, dimension(:), intent(in) :: rhs
TYPE(hyperdual), dimension(size(rhs)) :: res
res%f0 = lhs%f0 + REAL(rhs,PR)
res%f1 = lhs%f1
res%f2 = lhs%f2
res%f12 = lhs%f12
return
end function hyd_plus_int_array
function hyd_plus_int_matrix(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_int_matrix" :: hyd_plus_int_matrix
TYPE(hyperdual), intent(in) :: lhs
integer, dimension(:,:), intent(in) :: rhs
TYPE(hyperdual), dimension(size(rhs,1), size(rhs,2)) :: res
res%f0 = lhs%f0 + REAL(rhs,PR)
res%f1 = lhs%f1
res%f2 = lhs%f2
res%f12 = lhs%f12
return
end function hyd_plus_int_matrix
function hyd_plus_int_tens(lhs, rhs) result(res)
!DEC$ ATTRIbUTES DLLEXPORT, ALIAS : "hyd_plus_int_tens" :: hyd_plus_int_tens
TYPE(hyperdual), intent(in) :: lhs
integer, dimension(:,:,:), intent(in) :: rhs
TYPE(hyperdual), &
dimension(size(rhs,1), size(rhs,2), size(rhs,3)) :: res
res%f0 = lhs%f0 + REAL(rhs,PR)
res%f1 = lhs%f1
res%f2 = lhs%f2
res%f12 = lhs%f12