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IR_Precision.f90
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IR_Precision.f90
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!> @addtogroup GlobalVarPar Global Variables and Parameters
!> List of global variables and parameters.
!> @addtogroup Interface Interfaces
!> List of explicitly defined interface.
!> @addtogroup Library Modules Libraries
!> List of modules containing libraries of procedures.
!> @addtogroup PublicProcedure Public Procedures
!> List of public procedures.
!> @addtogroup PrivateProcedure Private Procedures
!> List of private procedures.
!> @ingroup Library
!> @{
!> @defgroup IR_PrecisionLibrary IR_Precision
!> Portable kind-parameters module
!> @}
!> @ingroup Interface
!> @{
!> @defgroup IR_PrecisionInterface IR_Precision
!> Portable kind-parameters module
!> @}
!> @ingroup GlobalVarPar
!> @{
!> @defgroup IR_PrecisionGlobalVarPar IR_Precision
!> Portable kind-parameters module
!> @}
!> @ingroup PublicProcedure
!> @{
!> @defgroup IR_PrecisionPublicProcedure IR_Precision
!> Portable kind-parameters module
!> @}
!> @ingroup PrivateProcedure
!> @{
!> @defgroup IR_PrecisionPrivateProcedure IR_Precision
!> Portable kind-parameters module
!> @}
!> @brief Module IR_Precision makes available some portable kind-parameters and some useful procedures to deal with them.
!> @details It also provides variables that contain the minimum and maximum representable values, smallest real values and
!> smallest representable differences by the running calculator.
!>
!> Finally the module provides procedures to convert a string to number and vice versa, a function to check the endianism
!> of the running calculator and a procedure to print all the aboves values.
!> @note The \em quadruple precision R16P could be activated defining \b r16p pre-processor flag (e.g. -Dr16p). Furthermore if
!> compiling with Portland Group Compiler define the pre-processor flag \b pgf95 to avoid error in computing \em Zero variables:
!> pgf compiler doesn't accept \b nearest built-in function in variables initialization.
!> @author Stefano Zaghi
!> @version 1.0
!> @date 2012-04-24
!> @copyright GNU Public License version 3.
!> @todo \b g95_test: Test g95 compiler
!> @ingroup IR_PrecisionLibrary
module IR_Precision
!-----------------------------------------------------------------------------------------------------------------------------------
USE, intrinsic:: ISO_FORTRAN_ENV, only: stdout => OUTPUT_UNIT, stderr => ERROR_UNIT ! Standard output/error logical units.
!-----------------------------------------------------------------------------------------------------------------------------------
!-----------------------------------------------------------------------------------------------------------------------------------
implicit none
private
public:: endianL,endianB,endian
public:: R16P, FR16P, DR16P, MinR16P, MaxR16P, BIR16P, BYR16P, smallR16P, ZeroR16
public:: R8P, FR8P, DR8P, MinR8P, MaxR8P, BIR8P, BYR8P, smallR8P, ZeroR8
public:: R4P, FR4P, DR4P, MinR4P, MaxR4P, BIR4P, BYR4P, smallR4P, ZeroR4
public:: R_P, FR_P, DR_P, MinR_P, MaxR_P, BIR_P, BYR_P, smallR_P, Zero
public:: I8P, FI8P, DI8P, MinI8P, MaxI8P!, BII8P, BYI8P
public:: I4P, FI4P, DI4P, MinI4P, MaxI4P!, BII4P, BYI4P
public:: I2P, FI2P, DI2P, MinI2P, MaxI2P!, BII2P, BYI2P
public:: I1P, FI1P, DI1P, MinI1P, MaxI1P!, BII1P, BYI1P
public:: I_P, FI_P, DI_P, MinI_P, MaxI_P!, BII_P, BYI_P
public:: NRknd, RPl, FRl
public:: NIknd, RIl, FIl
public:: check_endian
public:: bit_size
public:: str, strz, cton, bstr, bcton
public:: ir_initialized,IR_Init
public:: IR_Print
!-----------------------------------------------------------------------------------------------------------------------------------
!-----------------------------------------------------------------------------------------------------------------------------------
!> @ingroup IR_PrecisionGlobalVarPar
!> @{
logical:: ir_initialized = .false. !< Flag for chcecking the initialization of some variables that must be initialized by IR_Init.
! Bit ordering of the running architecture:
integer, parameter:: endianL = 1 !< Little endian parameter.
integer, parameter:: endianB = 0 !< Big endian parameter.
integer:: endian = endianL !< Bit ordering: Little endian (endianL), or Big endian (endianB).
! The following are the portable kind parameters available.
! Real precision definitions:
!#ifdef r16p
!integer, parameter:: R16P = selected_real_kind(33,4931) !< 33 digits, range \f$[10^{-4931}, 10^{+4931} - 1]\f$; 128 bits.
!#else
integer, parameter:: R16P = selected_real_kind(15,307) !< Defined as R8P; 64 bits.
!#endif
integer, parameter:: R8P = selected_real_kind(15,307) !< 15 digits, range \f$[10^{-307} , 10^{+307} - 1]\f$; 64 bits.
integer, parameter:: R4P = selected_real_kind(6,37) !< 6 digits, range \f$[10^{-37} , 10^{+37} - 1]\f$; 32 bits.
integer, parameter:: R_P = R8P !< Default real precision.
! Integer precision definitions:
integer, parameter:: I8P = selected_int_kind(18) !< Range \f$[-2^{63},+2^{63} - 1]\f$, 19 digits plus sign; 64 bits.
integer, parameter:: I4P = selected_int_kind(9) !< Range \f$[-2^{31},+2^{31} - 1]\f$, 10 digits plus sign; 32 bits.
integer, parameter:: I2P = selected_int_kind(4) !< Range \f$[-2^{15},+2^{15} - 1]\f$, 5 digits plus sign; 16 bits.
integer, parameter:: I1P = selected_int_kind(2) !< Range \f$[-2^{7} ,+2^{7} - 1]\f$, 3 digits plus sign; 8 bits.
integer, parameter:: I_P = I4P !< Default integer precision.
! Format parameters useful for writing in a well-ascii-format numeric variables.
! Real output formats:
character(10), parameter:: FR16P = '(E42.33E4)' !< Output format for kind=R16P variable.
character(10), parameter:: FR8P = '(E23.15E3)' !< Output format for kind=R8P variable.
character(9), parameter:: FR4P = '(E13.6E2)' !< Output format for kind=R4P variable.
character(10), parameter:: FR_P = FR8P !< Output format for kind=R_P variable.
! Real number of digits of output formats:
integer, parameter:: DR16P = 42 !< Number of digits of output format FR16P.
integer, parameter:: DR8P = 23 !< Number of digits of output format FR8P.
integer, parameter:: DR4P = 13 !< Number of digits of output format FR4P.
integer, parameter:: DR_P = DR8P !< Number of digits of output format FR_P.
! Integer output formats:
character(5), parameter:: FI8P = '(I20)' !< Output format for kind=I8P variable.
character(8), parameter:: FI8PZP = '(I20.19)' !< Output format with zero prefixing for kind=I8P variable.
character(5), parameter:: FI4P = '(I11)' !< Output format for kind=I4P variable.
character(8), parameter:: FI4PZP = '(I11.10)' !< Output format with zero prefixing for kind=I4P variable.
character(4), parameter:: FI2P = '(I6)' !< Output format for kind=I2P variable.
character(6), parameter:: FI2PZP = '(I6.5)' !< Output format with zero prefixing for kind=I2P variable.
character(4), parameter:: FI1P = '(I4)' !< Output format for kind=I1P variable.
character(6), parameter:: FI1PZP = '(I4.3)' !< Output format with zero prefixing for kind=I1P variable.
character(5), parameter:: FI_P = FI4P !< Output format for kind=I_P variable.
character(8), parameter:: FI_PZP = FI4PZP !< Output format with zero prefixing for kind=I_P variable.
! Integer number of digits of output formats:
integer, parameter:: DI8P = 20 !< Number of digits of output format I8P.
integer, parameter:: DI4P = 11 !< Number of digits of output format I4P.
integer, parameter:: DI2P = 6 !< Number of digits of output format I2P.
integer, parameter:: DI1P = 4 !< Number of digits of output format I1P.
integer, parameter:: DI_P = DI4P !< Number of digits of output format I_P.
! List of kinds
integer, parameter:: NRknd=4 !< Number of defined real kinds.
integer, parameter:: RPl(1:NRknd)=[R16P,R8P,R4P,R_P] !< List of defined real kinds.
character(10), parameter:: FRl(1:NRknd)=[FR16P,FR8P,FR4P//' ',FR_P] !< List of defined real kinds output format.
integer, parameter:: NIknd=5 !< Number of defined integer kinds.
integer, parameter:: RIl(1:NIknd)=[I8P,I4P,I2P,I1P,I_P] !< List of defined integer kinds.
character(5), parameter:: FIl(1:NIknd)=[FI8P,FI4P,FI2P//' ',FI1P//' ',FI_P] !< List of defined integer kinds output format.
! Useful parameters for handling numbers ranges.
! Real min and max values:
real(R16P), parameter:: MinR16P = -huge(1._R16P), MaxR16P = huge(1._R16P) !< Min and max values of kind=R16P variable.
real(R8P), parameter:: MinR8P = -huge(1._R8P ), MaxR8P = huge(1._R8P ) !< Min and max values of kind=R8P variable.
real(R4P), parameter:: MinR4P = -huge(1._R4P ), MaxR4P = huge(1._R4P ) !< Min and max values of kind=R4P variable.
real(R_P), parameter:: MinR_P = MinR8P, MaxR_P = MaxR8P !< Min and max values of kind=R_P variable.
! Real number of bits/bytes
integer(I2P):: BIR16P, BYR16P !< Number of bits/bytes of kind=R16P variable.
integer(I1P):: BIR8P, BYR8P !< Number of bits/bytes of kind=R8P variable.
integer(I1P):: BIR4P, BYR4P !< Number of bits/bytes of kind=R4P variable.
integer(I1P):: BIR_P, BYR_P !< Number of bits/bytes of kind=R_P variable.
! Real smallest values:
real(R16P), parameter:: smallR16P = tiny(1._R16P) !< Smallest representable value of kind=R16P variable.
real(R8P), parameter:: smallR8P = tiny(1._R8P ) !< Smallest representable value of kind=R8P variable.
real(R4P), parameter:: smallR4P = tiny(1._R4P ) !< Smallest representable value of kind=R4P variable.
real(R_P), parameter:: smallR_P = smallR8P !< Smallest representable value of kind=R_P variable.
! Integer min and max values:
integer(I8P), parameter:: MinI8P = -huge(1_I8P), MaxI8P = huge(1_I8P) !< Min and max values of kind=I8P variable.
integer(I4P), parameter:: MinI4P = -huge(1_I4P), MaxI4P = huge(1_I4P) !< Min and max values of kind=I4P variable.
integer(I2P), parameter:: MinI2P = -huge(1_I2P), MaxI2P = huge(1_I2P) !< Min and max values of kind=I2P variable.
integer(I1P), parameter:: MinI1P = -huge(1_I1P), MaxI1P = huge(1_I1P) !< Min and max values of kind=I1P variable.
integer(I_P), parameter:: MinI_P = MinI4P, MaxI_P = MaxI4P !< Min and max values of kind=I_P variable.
! Integer number of bits/bytes:
!integer(I8P), parameter:: BII8P = bit_size(MaxI8P), BYI8P = bit_size(MaxI8P)/8_I8P !< Number of bits/bytes of kind=I8P variable.
!integer(I4P), parameter:: BII4P = bit_size(MaxI4P), BYI4P = bit_size(MaxI4P)/8_I4P !< Number of bits/bytes of kind=I4P variable.
!integer(I2P), parameter:: BII2P = bit_size(MaxI2P), BYI2P = bit_size(MaxI2P)/8_I2P !< Number of bits/bytes of kind=I2P variable.
!integer(I1P), parameter:: BII1P = bit_size(MaxI1P), BYI1P = bit_size(MaxI1P)/8_I1P !< Number of bits/bytes of kind=I1P variable.
!integer(I_P), parameter:: BII_P = bit_size(MaxI_P), BYI_P = bit_size(MaxI_P)/8_I_P !< Number of bits/bytes of kind=I_P variable.
! Smallest real representable difference by the running calculator.
!#ifdef pgf95
real(R16P), parameter:: ZeroR16 = 0._R16P
real(R8P), parameter:: ZeroR8 = 0._R8P
real(R4P), parameter:: ZeroR4 = 0._R4P
!#else
!real(R16P), parameter:: ZeroR16 = nearest(1._R16P, 1._R16P) - &
! nearest(1._R16P,-1._R16P) !< Smallest representable difference of kind=R16P variable.
!real(R8P), parameter:: ZeroR8 = nearest(1._R8P, 1._R8P) - &
! nearest(1._R8P,-1._R8P) !< Smallest representable difference of kind=R8P variable.
!real(R4P), parameter:: ZeroR4 = nearest(1._R4P, 1._R4P) - &
! nearest(1._R4P,-1._R4P) !< Smallest representable difference of kind=R4P variable.
!#endif
real(R_P), parameter:: Zero = ZeroR8 !< Smallest representable difference of kind=R_P variable.
!> @}
!-----------------------------------------------------------------------------------------------------------------------------------
!-----------------------------------------------------------------------------------------------------------------------------------
!> @brief Overloading of the intrinsic "bit_size" function for computing the number of bits of (also) real variables;
!> number, intent(\b IN):: <b>\em n</b> input number;
!> integer(I1P), intent(\b OUT):: <b>\em bits</b> output number of bits of input number.
!> @ingroup IR_PrecisionInterface
interface bit_size
module procedure &
!#ifdef r16p
! bit_size_R16p, &
!#endif
bit_size_R8P, &
bit_size_R4P
endinterface
!> @brief Function for converting number, real and integer, to string (number to string type casting);
!> logical, intent(\b IN), optional:: <b>\em no_sign</b> flag for do not write sign;
!> number, intent(\b IN):: <b>\em n</b> input number;
!> string, intent(\b OUT):: <b>\em str</b> output string.
!> @ingroup IR_PrecisionInterface
interface str
module procedure &
!#ifdef r16p
! strf_R16P,str_R16P,&
!#endif
strf_R8P ,str_R8P, &
strf_R4P ,str_R4P, &
strf_I8P ,str_I8P, &
strf_I4P ,str_I4P, &
strf_I2P ,str_I2P, &
strf_I1P ,str_I1P
endinterface
!> @brief Function for converting number, integer, to string, prefixing with the right number of zeros (number to string type
!> casting with zero padding);
!> number, intent(\b IN), optional:: <b>\em no_zpad</b> number of padding zeros;
!> number, intent(\b IN):: <b>\em n </b> input number;
!> string, intent(\b OUT):: <b>\em str</b> output string.
!> @ingroup IR_PrecisionInterface
interface strz
module procedure strz_I8P, &
strz_I4P, &
strz_I2P, &
strz_I1P
endinterface
!> @brief Function for converting string to number, real or initeger, (string to number type casting);
!> string, intent(\b IN):: <b>\em str</b> input string;
!> number, intent(\b OUT):: <b>\em n </b> output number.
!> @ingroup IR_PrecisionInterface
interface cton
module procedure &
!#ifdef r16p
! ctor_R16P, &
!#endif
ctor_R8P, &
ctor_R4P, &
ctoi_I8P, &
ctoi_I4P, &
ctoi_I2P, &
ctoi_I1P
endinterface
!> @brief Function for converting number, real and integer, to bit-string (number to bit-string type casting);
!> number, intent(\b IN):: <b>\em n</b> input number;
!> string, intent(\b OUT):: <b>\em bstr</b> output bit-string.
!> @ingroup IR_PrecisionInterface
interface bstr
module procedure &
!#ifdef r16p
! bstr_R16P,&
!#endif
bstr_R8P, &
bstr_R4P, &
bstr_I8P, &
bstr_I4P, &
bstr_I2P, &
bstr_I1P
endinterface
!> @brief Function for converting bit-string to number, real or initeger, (bit-string to number type casting);
!> string, intent(\b IN):: <b>\em bstr</b> input bit-string;
!> number, intent(\b OUT):: <b>\em n</b> output number.
!> @ingroup IR_PrecisionInterface
interface bcton
module procedure &
!#ifdef r16p
! bctor_R16P, &
!#endif
bctor_R8P, &
bctor_R4P, &
bctoi_I8P, &
bctoi_I4P, &
bctoi_I2P, &
bctoi_I1P
endinterface
!-----------------------------------------------------------------------------------------------------------------------------------
contains
!> @ingroup IR_PrecisionPublicProcedure
!> @{
!>Function for checking if the type of the bit ordering of the running architecture is little endian.
pure function is_little_endian() result(is_little)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
logical:: is_little !< Logical output: true is the running architecture uses little endian ordering, false otherwise.
integer(I1P):: int1(1:4) !< One byte integer array for casting 4 bytes integer.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
int1 = transfer(1_I4P,int1)
is_little = (int1(1)==1_I1P)
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction is_little_endian
!>Subroutine for checking the type of bit ordering (big or little endian) of the running architecture; the result is
!>stored into the "endian" global variable.
!>@return endian
subroutine check_endian()
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
if (is_little_endian()) then
endian = endianL
else
endian = endianB
endif
return
!---------------------------------------------------------------------------------------------------------------------------------
endsubroutine check_endian
!> @}
!> @ingroup IR_PrecisionPrivateProcedure
!> @{
!> @brief Function for computing the number of bits of a real variable.
elemental function bit_size_R16P(i) result(bits)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
real(R16P), intent(IN):: i !< Real variable of which number of bits must be computed.
integer(I2P):: bits !< Number of bits of i.
integer(I1P):: mold(1) !< "Molding" dummy variable for bits counting.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
bits = size(transfer(i,mold),dim=1,kind=I2P)*8_I2P
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bit_size_R16P
!> @brief Function for computing the number of bits of a real variable.
elemental function bit_size_R8P(i) result(bits)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
real(R8P), intent(IN):: i !< Real variable of which number of bits must be computed.
integer(I1P):: bits !< Number of bits of i.
integer(I1P):: mold(1) !< "Molding" dummy variable for bits counting.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
bits = size(transfer(i,mold),dim=1,kind=I1P)*8_I1P
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bit_size_R8P
!> @brief Function for computing the number of bits of a real variable.
elemental function bit_size_R4P(i) result(bits)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
real(R4P), intent(IN):: i !< Real variable of which number of bits must be computed.
integer(I1P):: bits !< Number of bits of i.
integer(I1P):: mold(1) !< "Molding" dummy variable for bits counting.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
bits = size(transfer(i,mold),dim=1,kind=I1P)*8_I1P
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bit_size_R4P
!> @brief Function for converting real to string. This function achieves casting of real to string.
elemental function strf_R16P(fm,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: fm !< Format different from the standard for the kind.
real(R16P), intent(IN):: n !< Real to be converted.
character(DR16P):: str !< Returned string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,trim(fm)) n ! Casting of n to string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strf_R16P
!> @brief Function for converting real to string. This function achieves casting of real to string.
elemental function strf_R8P(fm,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: fm !< Format different from the standard for the kind.
real(R8P), intent(IN):: n !< Real to be converted.
character(DR8P):: str !< Returned string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,trim(fm)) n ! Casting of n to string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strf_R8P
!> @brief Function for converting real to string. This function achieves casting of real to string.
elemental function strf_R4P(fm,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: fm !< Format different from the standard for the kind.
real(R4P), intent(IN):: n !< Real to be converted.
character(DR4P):: str !< Returned string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,trim(fm)) n ! Casting of n to string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strf_R4P
!> @brief Function for converting integer to string. This function achieves casting of integer to string.
elemental function strf_I8P(fm,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: fm !< Format different from the standard for the kind.
integer(I8P), intent(IN):: n !< Integer to be converted.
character(DI8P):: str !< Returned string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,trim(fm)) n ! Casting of n to string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strf_I8P
!> @brief Function for converting integer to string. This function achieves casting of integer to string.
elemental function strf_I4P(fm,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: fm !< Format different from the standard for the kind.
integer(I4P), intent(IN):: n !< Integer to be converted.
character(DI4P):: str !< Returned string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,trim(fm)) n ! Casting of n to string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strf_I4P
!> @brief Function for converting integer to string. This function achieves casting of integer to string.
elemental function strf_I2P(fm,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: fm !< Format different from the standard for the kind.
integer(I2P), intent(IN):: n !< Integer to be converted.
character(DI2P):: str !< Returned string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,trim(fm)) n ! Casting of n to string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strf_I2P
!> @brief Function for converting integer to string. This function achieves casting of integer to string.
elemental function strf_I1P(fm,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: fm !< Format different from the standard for the kind.
integer(I1P), intent(IN):: n !< Integer to be converted.
character(DI1P):: str !< Returned string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,trim(fm)) n ! Casting of n to string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strf_I1P
!> @brief Function for converting real to string. This function achieves casting of real to string.
elemental function str_R16P(no_sign,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
logical, intent(IN), optional:: no_sign !< Flag for leaving out the sign.
real(R16P), intent(IN):: n !< Real to be converted.
character(DR16P):: str !< Returned string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FR16P) n ! Casting of n to string.
if (n>0._R16P) str(1:1)='+' ! Prefixing plus if n>0.
if (present(no_sign)) str=str(2:) ! Leaving out the sign.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction str_R16P
!> @brief Function for converting real to string. This function achieves casting of real to string.
elemental function str_R8P(no_sign,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
logical, intent(IN), optional:: no_sign !< Flag for leaving out the sign.
real(R8P), intent(IN):: n !< Real to be converted.
character(DR8P):: str !< Returned string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FR8P) n ! Casting of n to string.
if (n>0._R8P) str(1:1)='+' ! Prefixing plus if n>0.
if (present(no_sign)) str=str(2:) ! Leaving out the sign.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction str_R8P
!> @brief Function for converting real to string. This function achieves casting of real to string.
elemental function str_R4P(no_sign,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
logical, intent(IN), optional:: no_sign !< Flag for leaving out the sign.
real(R4P), intent(IN):: n !< Real to be converted.
character(DR4P):: str !< Returned string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FR4P) n ! Casting of n to string.
if (n>0._R4P) str(1:1)='+' ! Prefixing plus if n>0.
if (present(no_sign)) str=str(2:) ! Leaving out the sign.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction str_R4P
!> @brief Function for converting integer to string. This function achieves casting of integer to string.
elemental function str_I8P(no_sign,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
logical, intent(IN), optional:: no_sign !< Flag for leaving out the sign.
integer(I8P), intent(IN):: n !< Integer to be converted.
character(DI8P):: str !< Returned string containing input number plus padding zeros.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FI8P) n ! Casting of n to string.
str = adjustl(trim(str)) ! Removing white spaces.
if (n>=0_I8P) str='+'//trim(str) ! Prefixing plus if n>0.
if (present(no_sign)) str=str(2:) ! Leaving out the sign.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction str_I8P
!> @brief Function for converting integer to string. This function achieves casting of integer to string.
elemental function str_I4P(no_sign,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
logical, intent(IN), optional:: no_sign !< Flag for leaving out the sign.
integer(I4P), intent(IN):: n !< Integer to be converted.
character(DI4P):: str !< Returned string containing input number plus padding zeros.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FI4P) n ! Casting of n to string.
str = adjustl(trim(str)) ! Removing white spaces.
if (n>=0_I4P) str='+'//trim(str) ! Prefixing plus if n>0.
if (present(no_sign)) str=str(2:) ! Leaving out the sign.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction str_I4P
!> @brief Function for converting integer to string. This function achieves casting of integer to string.
elemental function str_I2P(no_sign,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
logical, intent(IN), optional:: no_sign !< Flag for leaving out the sign.
integer(I2P), intent(IN):: n !< Integer to be converted.
character(DI2P):: str !< Returned string containing input number plus padding zeros.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FI2P) n ! Casting of n to string.
str = adjustl(trim(str)) ! Removing white spaces.
if (n>=0_I2P) str='+'//trim(str) ! Prefixing plus if n>0.
if (present(no_sign)) str=str(2:) ! Leaving out the sign.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction str_I2P
!> @brief Function for converting integer to string. This function achieves casting of integer to string.
elemental function str_I1P(no_sign,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
logical, intent(IN), optional:: no_sign !< Flag for leaving out the sign.
integer(I1P), intent(IN):: n !< Integer to be converted.
character(DI1P):: str !< Returned string containing input number plus padding zeros.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FI1P) n ! Casting of n to string.
str = adjustl(trim(str)) ! Removing white spaces.
if (n>=0_I1P) str='+'//trim(str) ! Prefixing plus if n>0.
if (present(no_sign)) str=str(2:) ! Leaving out the sign.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction str_I1P
!> @brief Function for converting integer to string, prefixing with the right number of zeros. This function achieves casting of
!> integer to string.
elemental function strz_I8P(nz_pad,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
integer(I4P), intent(IN), optional:: nz_pad !< Number of zeros padding.
integer(I8P), intent(IN):: n !< Integer to be converted.
character(DI8P):: str !< Returned string containing input number plus padding zeros.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FI8PZP) n ! Casting of n to string.
str=str(2:) ! Leaving out the sign.
if (present(nz_pad)) str=str(DI8P-nz_pad:DI8P-1) ! Leaving out the extra zeros padding
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strz_I8P
!> @brief Function for converting integer to string, prefixing with the right number of zeros. This function achieves casting of
!> integer to string.
elemental function strz_I4P(nz_pad,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
integer(I4P), intent(IN), optional:: nz_pad !< Number of zeros padding.
integer(I4P), intent(IN):: n !< Integer to be converted.
character(DI4P):: str !< Returned string containing input number plus padding zeros.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FI4PZP) n ! Casting of n to string.
str=str(2:) ! Leaving out the sign.
if (present(nz_pad)) str=str(DI4P-nz_pad:DI4P-1) ! Leaving out the extra zeros padding
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strz_I4P
!> @brief Function for converting integer to string, prefixing with the right number of zeros. This function achieves casting of
!> integer to string.
elemental function strz_I2P(nz_pad,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
integer(I4P), intent(IN), optional:: nz_pad !< Number of zeros padding.
integer(I2P), intent(IN):: n !< Integer to be converted.
character(DI2P):: str !< Returned string containing input number plus padding zeros.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FI2PZP) n ! Casting of n to string.
str=str(2:) ! Leaving out the sign.
if (present(nz_pad)) str=str(DI2P-nz_pad:DI2P-1) ! Leaving out the extra zeros padding
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strz_I2P
!> @brief Function for converting integer to string, prefixing with the right number of zeros. This function achieves casting of
!> integer to string.
elemental function strz_I1P(nz_pad,n) result(str)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
integer(I4P), intent(IN), optional:: nz_pad !< Number of zeros padding.
integer(I1P), intent(IN):: n !< Integer to be converted.
character(DI1P):: str !< Returned string containing input number plus padding zeros.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(str,FI1PZP) n ! Casting of n to string.
str=str(2:) ! Leaving out the sign.
if (present(nz_pad)) str=str(DI1P-nz_pad:DI1P-1) ! Leaving out the extra zeros padding
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction strz_I1P
!> @brief Function for converting string to real. This function achieves casting of string to real.
function ctor_R16P(str,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: str !< String containing input number.
real(R16P), intent(IN):: knd !< Number kind.
real(R16P):: n !< Number returned.
integer(I4P):: err !< Error trapping flag: 0 no errors, >0 error occurs.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(str,*,iostat=err) n ! Casting of str to n.
if (err/=0) then
write(stderr,'(A)') 'Conversion of string "'//str//'" to real failed'
write(stderr,'(A,'//FR16P//')') 'Kind parameter ',knd
write(stderr,'(A)') 'Function used "ctor_R16P"'
endif
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction ctor_R16P
!> @brief Function for converting string to real. This function achieves casting of string to real.
function ctor_R8P(str,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: str !< String containing input number.
real(R8P), intent(IN):: knd !< Number kind.
real(R8P):: n !< Number returned.
integer(I4P):: err !< Error trapping flag: 0 no errors, >0 error occurs.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(str,*,iostat=err) n ! Casting of str to n.
if (err/=0) then
write(stderr,'(A)') 'Conversion of string "'//str//'" to real failed'
write(stderr,'(A,'//FR8P//')') 'Kind parameter ',knd
write(stderr,'(A)') 'Function used "ctor_R8P"'
endif
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction ctor_R8P
!> @brief Function for converting string to real. This function achieves casting of string to real.
function ctor_R4P(str,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: str !< String containing input number.
real(R4P), intent(IN):: knd !< Number kind.
real(R4P):: n !< Number returned.
integer(I4P):: err !< Error trapping flag: 0 no errors, >0 error occurs.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(str,*,iostat=err) n ! Casting of str to n.
if (err/=0) then
write(stderr,'(A)') 'Conversion of string "'//str//'" to real failed'
write(stderr,'(A,'//FR4P//')') 'Kind parameter ',knd
write(stderr,'(A)') 'Function used "ctor_R4P"'
endif
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction ctor_R4P
!> @brief Function for converting string to integer. This function achieves casting of string to integer.
function ctoi_I8P(str,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: str !< String containing input number.
integer(I8P), intent(IN):: knd !< Number kind.
integer(I8P):: n !< Number returned.
integer(I4P):: err !< Error trapping flag: 0 no errors, >0 error occurs.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(str,*,iostat=err) n ! Casting of str to n.
if (err/=0) then
write(stderr,'(A)') 'Conversion of string "'//str//'" to integer failed'
write(stderr,'(A,'//FI8P//')') 'Kind parameter ',knd
write(stderr,'(A)') 'Function used "ctoi_I8P"'
endif
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction ctoi_I8P
!> @brief Function for converting string to integer. This function achieves casting of string to integer.
function ctoi_I4P(str,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: str !< String containing input number.
integer(I4P), intent(IN):: knd !< Number kind.
integer(I4P):: n !< Number returned.
integer(I4P):: err !< Error trapping flag: 0 no errors, >0 error occurs.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(str,*,iostat=err) n ! Casting of str to n.
if (err/=0) then
write(stderr,'(A)') 'Conversion of string "'//str//'" to integer failed'
write(stderr,'(A,'//FI4P//')') 'Kind parameter ',knd
write(stderr,'(A)') 'Function used "ctoi_I4P"'
endif
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction ctoi_I4P
!> @brief Function for converting string to integer. This function achieves casting of string to integer.
function ctoi_I2P(str,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: str !< String containing input number.
integer(I2P), intent(IN):: knd !< Number kind.
integer(I2P):: n !< Number returned.
integer(I4P):: err !< Error trapping flag: 0 no errors, >0 error occurs.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(str,*,iostat=err) n ! Casting of str to n.
if (err/=0) then
write(stderr,'(A)') 'Conversion of string "'//str//'" to integer failed'
write(stderr,'(A,'//FI2P//')') 'Kind parameter ',knd
write(stderr,'(A)') 'Function used "ctoi_I2P"'
endif
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction ctoi_I2P
!> @brief Function for converting string to integer. This function achieves casting of string to integer.
function ctoi_I1P(str,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: str !< String containing input number.
integer(I1P), intent(IN):: knd !< Number kind.
integer(I1P):: n !< Number returned.
integer(I4P):: err !< Error trapping flag: 0 no errors, >0 error occurs.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(str,*,iostat=err) n ! Casting of str to n.
if (err/=0) then
write(stderr,'(A)') 'Conversion of string "'//str//'" to integer failed'
write(stderr,'(A,'//FI1P//')') 'Kind parameter ',knd
write(stderr,'(A)') 'Function used "ctoi_I1P"'
endif
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction ctoi_I1P
!> @brief Function for converting real to string of bits. This function achieves casting of real to bit-string.
!> @note It is assumed that R16P is represented by means of 128 bits, but this is not ensured in all architectures.
elemental function bstr_R16P(n) result(bstr)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
real(R8P), intent(IN):: n !< Real to be converted.
character(128):: bstr !< Returned bit-string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(bstr,'(B128.128)')n ! Casting of n to bit-string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bstr_R16P
!> @brief Function for converting real to string of bits. This function achieves casting of real to bit-string.
!> @note It is assumed that R8P is represented by means of 64 bits, but this is not ensured in all architectures.
elemental function bstr_R8P(n) result(bstr)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
real(R8P), intent(IN):: n !< Real to be converted.
character(64):: bstr !< Returned bit-string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(bstr,'(B64.64)')n ! Casting of n to bit-string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bstr_R8P
!> @brief Function for converting real to string of bits. This function achieves casting of real to bit-string.
!> @note It is assumed that R4P is represented by means of 32 bits, but this is not ensured in all architectures.
elemental function bstr_R4P(n) result(bstr)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
real(R4P), intent(IN):: n !< Real to be converted.
character(32):: bstr !< Returned bit-string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(bstr,'(B32.32)')n ! Casting of n to bit-string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bstr_R4P
!> @brief Function for converting integer to string of bits. This function achieves casting of integer to bit-string.
!> @note It is assumed that I8P is represented by means of 64 bits, but this is not ensured in all architectures.
elemental function bstr_I8P(n) result(bstr)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
integer(I8P), intent(IN):: n !< Real to be converted.
character(64):: bstr !< Returned bit-string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(bstr,'(B64.64)')n ! Casting of n to bit-string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bstr_I8P
!> @brief Function for converting integer to string of bits. This function achieves casting of integer to bit-string.
!> @note It is assumed that I4P is represented by means of 32 bits, but this is not ensured in all architectures.
elemental function bstr_I4P(n) result(bstr)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
integer(I4P), intent(IN):: n !< Real to be converted.
character(32):: bstr !< Returned bit-string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(bstr,'(B32.32)')n ! Casting of n to bit-string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bstr_I4P
!> @brief Function for converting integer to string of bits. This function achieves casting of integer to bit-string.
!> @note It is assumed that I2P is represented by means of 16 bits, but this is not ensured in all architectures.
elemental function bstr_I2P(n) result(bstr)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
integer(I2P), intent(IN):: n !< Real to be converted.
character(16):: bstr !< Returned bit-string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(bstr,'(B16.16)')n ! Casting of n to bit-string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bstr_I2P
!> @brief Function for converting integer to string of bits. This function achieves casting of integer to bit-string.
!> @note It is assumed that I1P is represented by means of 8 bits, but this is not ensured in all architectures.
elemental function bstr_I1P(n) result(bstr)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
integer(I1P), intent(IN):: n !< Real to be converted.
character(8):: bstr !< Returned bit-string containing input number.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
write(bstr,'(B8.8)')n ! Casting of n to bit-string.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bstr_I1P
!> @brief Function for converting bit-string to real. This function achieves casting of bit-string to real.
elemental function bctor_R8P(bstr,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: bstr !< String containing input number.
real(R8P), intent(IN):: knd !< Number kind.
real(R8P):: n !< Number returned.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(bstr,'(B'//trim(str(.true.,bit_size(knd)))//'.'//trim(str(.true.,bit_size(knd)))//')')n ! Casting of bstr to n.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bctor_R8P
!> @brief Function for converting bit-string to real. This function achieves casting of bit-string to real.
elemental function bctor_R4P(bstr,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: bstr !< String containing input number.
real(R4P), intent(IN):: knd !< Number kind.
real(R4P):: n !< Number returned.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(bstr,'(B'//trim(str(.true.,bit_size(knd)))//'.'//trim(str(.true.,bit_size(knd)))//')')n ! Casting of bstr to n.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bctor_R4P
!> @brief Function for converting bit-string to integer. This function achieves casting of bit-string to integer.
elemental function bctoi_I8P(bstr,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: bstr !< String containing input number.
integer(I8P), intent(IN):: knd !< Number kind.
integer(I8P):: n !< Number returned.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(bstr,'(B'//trim(str(.true.,bit_size(knd)))//'.'//trim(str(.true.,bit_size(knd)))//')')n ! Casting of bstr to n.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bctoi_I8P
!> @brief Function for converting bit-string to integer. This function achieves casting of bit-string to integer.
elemental function bctoi_I4P(bstr,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: bstr !< String containing input number.
integer(I4P), intent(IN):: knd !< Number kind.
integer(I4P):: n !< Number returned.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(bstr,'(B'//trim(str(.true.,bit_size(knd)))//'.'//trim(str(.true.,bit_size(knd)))//')')n ! Casting of bstr to n.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bctoi_I4P
!> @brief Function for converting bit-string to integer. This function achieves casting of bit-string to integer.
elemental function bctoi_I2P(bstr,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: bstr !< String containing input number.
integer(I2P), intent(IN):: knd !< Number kind.
integer(I2P):: n !< Number returned.
!---------------------------------------------------------------------------------------------------------------------------------
!---------------------------------------------------------------------------------------------------------------------------------
read(bstr,'(B'//trim(str(.true.,bit_size(knd)))//'.'//trim(str(.true.,bit_size(knd)))//')')n ! Casting of bstr to n.
return
!---------------------------------------------------------------------------------------------------------------------------------
endfunction bctoi_I2P
!> @brief Function for converting bit-string to integer. This function achieves casting of bit-string to integer.
elemental function bctoi_I1P(bstr,knd) result(n)
!---------------------------------------------------------------------------------------------------------------------------------
implicit none
character(*), intent(IN):: bstr !< String containing input number.
integer(I1P), intent(IN):: knd !< Number kind.
integer(I1P):: n !< Number returned.
!---------------------------------------------------------------------------------------------------------------------------------