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

Author

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