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la_constants(3) LAPACK 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

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