la_constants(3)

NAME
la_constants - LA_CONSTANTS is a module for the scaling constants for the compiled Fortran single and double precisions

SYNOPSIS

  Variables
integer, parameter sp = kind(1.e0)
real(sp), parameter szero = 0.0_sp
real(sp), parameter shalf = 0.5_sp
real(sp), parameter sone = 1.0_sp
real(sp), parameter stwo = 2.0_sp
real(sp), parameter sthree = 3.0_sp
real(sp), parameter sfour = 4.0_sp
real(sp), parameter seight = 8.0_sp
real(sp), parameter sten = 10.0_sp
complex(sp), parameter czero = ( 0.0_sp, 0.0_sp )
complex(sp), parameter chalf = ( 0.5_sp, 0.0_sp )
complex(sp), parameter cone = ( 1.0_sp, 0.0_sp )
character *1, parameter sprefix = 'S'
character *1, parameter cprefix = 'C'
real(sp), parameter sulp = epsilon(0._sp)
real(sp), parameter seps = sulp * 0.5_sp
real(sp), parameter ssafmin = real(radix(0._sp), sp)**max( minexponent(0._sp)-1, 1-maxexponent(0._sp) )
real(sp), parameter ssafmax = sone / ssafmin
real(sp), parameter ssmlnum = ssafmin / sulp
real(sp), parameter sbignum = ssafmax * sulp
real(sp), parameter srtmin = sqrt(ssmlnum)
real(sp), parameter srtmax = sqrt(sbignum)
real(sp), parameter stsml = real(radix(0._sp), sp)**ceiling( (minexponent(0._sp) - 1) * 0.5_sp)
real(sp), parameter stbig = real(radix(0._sp), sp)**floor( (maxexponent(0._sp) - digits(0._sp) + 1) * 0.5_sp)
real(sp), parameter sssml = real(radix(0._sp), sp)**( - floor( (minexponent(0._sp) - digits(0._sp)) * 0.5_sp))
real(sp), parameter ssbig = real(radix(0._sp), sp)**( - ceiling( (maxexponent(0._sp) + digits(0._sp) - 1) * 0.5_sp))
integer, parameter dp = kind(1.d0)
real(dp), parameter dzero = 0.0_dp
real(dp), parameter dhalf = 0.5_dp
real(dp), parameter done = 1.0_dp
real(dp), parameter dtwo = 2.0_dp
real(dp), parameter dthree = 3.0_dp
real(dp), parameter dfour = 4.0_dp
real(dp), parameter deight = 8.0_dp
real(dp), parameter dten = 10.0_dp
complex(dp), parameter zzero = ( 0.0_dp, 0.0_dp )
complex(dp), parameter zhalf = ( 0.5_dp, 0.0_dp )
complex(dp), parameter zone = ( 1.0_dp, 0.0_dp )
character *1, parameter dprefix = 'D'
character *1, parameter zprefix = 'Z'
real(dp), parameter dulp = epsilon(0._dp)
real(dp), parameter deps = dulp * 0.5_dp
real(dp), parameter dsafmin = real(radix(0._dp), dp)**max( minexponent(0._dp)-1, 1-maxexponent(0._dp) )
real(dp), parameter dsafmax = done / dsafmin
real(dp), parameter dsmlnum = dsafmin / dulp
real(dp), parameter dbignum = dsafmax * dulp
real(dp), parameter drtmin = sqrt(dsmlnum)
real(dp), parameter drtmax = sqrt(dbignum)
real(dp), parameter dtsml = real(radix(0._dp), dp)**ceiling( (minexponent(0._dp) - 1) * 0.5_dp)
real(dp), parameter dtbig = real(radix(0._dp), dp)**floor( (maxexponent(0._dp) - digits(0._dp) + 1) * 0.5_dp)
real(dp), parameter dssml = real(radix(0._dp), dp)**( - floor( (minexponent(0._dp) - digits(0._dp)) * 0.5_dp))
real(dp), parameter dsbig = real(radix(0._dp), dp)**( - ceiling( (maxexponent(0._dp) + digits(0._dp) - 1) * 0.5_dp))

Detailed Description

LA_CONSTANTS is a module for the scaling constants for the compiled Fortran single and double precisions

Author
    Edward Anderson, Lockheed Martin

Date
    May 2016

Contributors:
    Weslley Pereira, University of Colorado Denver, USA Nick Papior, Technical University of Denmark, DK

Further Details:

      Anderson E. (2017)
      Algorithm 978: Safe Scaling in the Level 1 BLAS
      ACM Trans Math Softw 44:1--28
      https://doi.org/10.1145/3061665
      Blue, James L. (1978)
      A Portable Fortran Program to Find the Euclidean Norm of a Vector
      ACM Trans Math Softw 4:15--23
      https://doi.org/10.1145/355769.355771

Variable Documentation

  complex(sp), parameter la_constants::chalf = ( 0.5_sp, 0.0_sp )

Definition at line 57 of file la_constants.f90.

  complex(sp), parameter la_constants::cone = ( 1.0_sp, 0.0_sp )

Definition at line 58 of file la_constants.f90.

  character*1, parameter la_constants::cprefix = 'C'

Definition at line 60 of file la_constants.f90.

  complex(sp), parameter la_constants::czero = ( 0.0_sp, 0.0_sp )

Definition at line 56 of file la_constants.f90.

  real(dp), parameter la_constants::dbignum = dsafmax * dulp

Definition at line 114 of file la_constants.f90.

  real(dp), parameter la_constants::deight = 8.0_dp

Definition at line 97 of file la_constants.f90.

  real(dp), parameter la_constants::deps = dulp * 0.5_dp

Definition at line 107 of file la_constants.f90.

  real(dp), parameter la_constants::dfour = 4.0_dp

Definition at line 96 of file la_constants.f90.

  real(dp), parameter la_constants::dhalf = 0.5_dp

Definition at line 92 of file la_constants.f90.

  real(dp), parameter la_constants::done = 1.0_dp

Definition at line 93 of file la_constants.f90.

  integer, parameter la_constants::dp = kind(1.d0)

Definition at line 89 of file la_constants.f90.

  character*1, parameter la_constants::dprefix = 'D'

Definition at line 102 of file la_constants.f90.

  real(dp), parameter la_constants::drtmax = sqrt(dbignum)

Definition at line 116 of file la_constants.f90.

  real(dp), parameter la_constants::drtmin = sqrt(dsmlnum)

Definition at line 115 of file la_constants.f90.

  real(dp), parameter la_constants::dsafmax = done / dsafmin

Definition at line 112 of file la_constants.f90.

  real(dp), parameter la_constants::dsafmin = real(radix(0._dp), dp)**max( minexponent(0._dp)-1, 1-maxexponent(0._dp) )

Definition at line 108 of file la_constants.f90.

  real(dp), parameter la_constants::dsbig = real(radix(0._dp), dp)**( - ceiling( (maxexponent(0._dp) + digits(0._dp) - 1) * 0.5_dp))

Definition at line 128 of file la_constants.f90.

  real(dp), parameter la_constants::dsmlnum = dsafmin / dulp

Definition at line 113 of file la_constants.f90.

  real(dp), parameter la_constants::dssml = real(radix(0._dp), dp)**( - floor( (minexponent(0._dp) - digits(0._dp)) * 0.5_dp))

Definition at line 125 of file la_constants.f90.

  real(dp), parameter la_constants::dtbig = real(radix(0._dp), dp)**floor( (maxexponent(0._dp) - digits(0._dp) + 1) * 0.5_dp)

Definition at line 121 of file la_constants.f90.

  real(dp), parameter la_constants::dten = 10.0_dp

Definition at line 98 of file la_constants.f90.

  real(dp), parameter la_constants::dthree = 3.0_dp

Definition at line 95 of file la_constants.f90.

  real(dp), parameter la_constants::dtsml = real(radix(0._dp), dp)**ceiling( (minexponent(0._dp) - 1) * 0.5_dp)

Definition at line 119 of file la_constants.f90.

  real(dp), parameter la_constants::dtwo = 2.0_dp

Definition at line 94 of file la_constants.f90.

  real(dp), parameter la_constants::dulp = epsilon(0._dp)

Definition at line 106 of file la_constants.f90.

  real(dp), parameter la_constants::dzero = 0.0_dp

Definition at line 91 of file la_constants.f90.

  real(sp), parameter la_constants::sbignum = ssafmax * sulp

Definition at line 71 of file la_constants.f90.

  real(sp), parameter la_constants::seight = 8.0_sp

Definition at line 54 of file la_constants.f90.

  real(sp), parameter la_constants::seps = sulp * 0.5_sp

Definition at line 64 of file la_constants.f90.

  real(sp), parameter la_constants::sfour = 4.0_sp

Definition at line 53 of file la_constants.f90.

  real(sp), parameter la_constants::shalf = 0.5_sp

Definition at line 49 of file la_constants.f90.

  real(sp), parameter la_constants::sone = 1.0_sp

Definition at line 50 of file la_constants.f90.

  integer, parameter la_constants::sp = kind(1.e0)

Definition at line 46 of file la_constants.f90.

  character*1, parameter la_constants::sprefix = 'S'

Definition at line 59 of file la_constants.f90.

  real(sp), parameter la_constants::srtmax = sqrt(sbignum)

Definition at line 73 of file la_constants.f90.

  real(sp), parameter la_constants::srtmin = sqrt(ssmlnum)

Definition at line 72 of file la_constants.f90.

  real(sp), parameter la_constants::ssafmax = sone / ssafmin

Definition at line 69 of file la_constants.f90.

  real(sp), parameter la_constants::ssafmin = real(radix(0._sp), sp)**max( minexponent(0._sp)-1, 1-maxexponent(0._sp) )

Definition at line 65 of file la_constants.f90.

  real(sp), parameter la_constants::ssbig = real(radix(0._sp), sp)**( - ceiling( (maxexponent(0._sp) + digits(0._sp) - 1) * 0.5_sp))

Definition at line 85 of file la_constants.f90.

  real(sp), parameter la_constants::ssmlnum = ssafmin / sulp

Definition at line 70 of file la_constants.f90.

  real(sp), parameter la_constants::sssml = real(radix(0._sp), sp)**( - floor( (minexponent(0._sp) - digits(0._sp)) * 0.5_sp))

Definition at line 82 of file la_constants.f90.

  real(sp), parameter la_constants::stbig = real(radix(0._sp), sp)**floor( (maxexponent(0._sp) - digits(0._sp) + 1) * 0.5_sp)

Definition at line 78 of file la_constants.f90.

  real(sp), parameter la_constants::sten = 10.0_sp

Definition at line 55 of file la_constants.f90.

  real(sp), parameter la_constants::sthree = 3.0_sp

Definition at line 52 of file la_constants.f90.

  real(sp), parameter la_constants::stsml = real(radix(0._sp), sp)**ceiling( (minexponent(0._sp) - 1) * 0.5_sp)

Definition at line 76 of file la_constants.f90.

  real(sp), parameter la_constants::stwo = 2.0_sp

Definition at line 51 of file la_constants.f90.

  real(sp), parameter la_constants::sulp = epsilon(0._sp)

Definition at line 63 of file la_constants.f90.

  real(sp), parameter la_constants::szero = 0.0_sp

Definition at line 48 of file la_constants.f90.

  complex(dp), parameter la_constants::zhalf = ( 0.5_dp, 0.0_dp )

Definition at line 100 of file la_constants.f90.

  complex(dp), parameter la_constants::zone = ( 1.0_dp, 0.0_dp )

Definition at line 101 of file la_constants.f90.

  character*1, parameter la_constants::zprefix = 'Z'

Definition at line 103 of file la_constants.f90.

  complex(dp), parameter la_constants::zzero = ( 0.0_dp, 0.0_dp )

Definition at line 99 of file la_constants.f90.

Author

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