.TH "la_constants" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
la_constants \- \fBLA_CONSTANTS\fP is a module for the scaling constants for the compiled Fortran single and double precisions  

.SH SYNOPSIS
.br
.PP
.SS "Variables"

.in +1c
.ti -1c
.RI "integer, parameter \fBsp\fP = kind(1\&.e0)"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBszero\fP = 0\&.0_sp"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBshalf\fP = 0\&.5_sp"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBsone\fP = 1\&.0_sp"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBstwo\fP = 2\&.0_sp"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBsthree\fP = 3\&.0_sp"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBsfour\fP = 4\&.0_sp"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBseight\fP = 8\&.0_sp"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBsten\fP = 10\&.0_sp"
.br
.ti -1c
.RI "complex(\fBsp\fP), parameter \fBczero\fP = ( 0\&.0_sp, 0\&.0_sp )"
.br
.ti -1c
.RI "complex(\fBsp\fP), parameter \fBchalf\fP = ( 0\&.5_sp, 0\&.0_sp )"
.br
.ti -1c
.RI "complex(\fBsp\fP), parameter \fBcone\fP = ( 1\&.0_sp, 0\&.0_sp )"
.br
.ti -1c
.RI "character *1, parameter \fBsprefix\fP = 'S'"
.br
.ti -1c
.RI "character *1, parameter \fBcprefix\fP = 'C'"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBsulp\fP = epsilon(0\&._sp)"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBseps\fP = \fBsulp\fP * 0\&.5_sp"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBssafmin\fP = real(radix(0\&._sp), \fBsp\fP)**max( minexponent(0\&._sp)\-1, 1\-maxexponent(0\&._sp) )"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBssafmax\fP = \fBsone\fP / \fBssafmin\fP"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBssmlnum\fP = \fBssafmin\fP / \fBsulp\fP"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBsbignum\fP = \fBssafmax\fP * \fBsulp\fP"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBsrtmin\fP = sqrt(\fBssmlnum\fP)"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBsrtmax\fP = sqrt(\fBsbignum\fP)"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBstsml\fP = real(radix(0\&._sp), \fBsp\fP)**ceiling( (minexponent(0\&._sp) \- 1) * 0\&.5_sp)"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBstbig\fP = real(radix(0\&._sp), \fBsp\fP)**floor( (maxexponent(0\&._sp) \- digits(0\&._sp) + 1) * 0\&.5_sp)"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBsssml\fP = real(radix(0\&._sp), \fBsp\fP)**( \- floor( (minexponent(0\&._sp) \- digits(0\&._sp)) * 0\&.5_sp))"
.br
.ti -1c
.RI "real(\fBsp\fP), parameter \fBssbig\fP = real(radix(0\&._sp), \fBsp\fP)**( \- ceiling( (maxexponent(0\&._sp) + digits(0\&._sp) \- 1) * 0\&.5_sp))"
.br
.ti -1c
.RI "integer, parameter \fBdp\fP = kind(1\&.d0)"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdzero\fP = 0\&.0_dp"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdhalf\fP = 0\&.5_dp"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdone\fP = 1\&.0_dp"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdtwo\fP = 2\&.0_dp"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdthree\fP = 3\&.0_dp"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdfour\fP = 4\&.0_dp"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdeight\fP = 8\&.0_dp"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdten\fP = 10\&.0_dp"
.br
.ti -1c
.RI "complex(\fBdp\fP), parameter \fBzzero\fP = ( 0\&.0_dp, 0\&.0_dp )"
.br
.ti -1c
.RI "complex(\fBdp\fP), parameter \fBzhalf\fP = ( 0\&.5_dp, 0\&.0_dp )"
.br
.ti -1c
.RI "complex(\fBdp\fP), parameter \fBzone\fP = ( 1\&.0_dp, 0\&.0_dp )"
.br
.ti -1c
.RI "character *1, parameter \fBdprefix\fP = 'D'"
.br
.ti -1c
.RI "character *1, parameter \fBzprefix\fP = 'Z'"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdulp\fP = epsilon(0\&._dp)"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdeps\fP = \fBdulp\fP * 0\&.5_dp"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdsafmin\fP = real(radix(0\&._dp), \fBdp\fP)**max( minexponent(0\&._dp)\-1, 1\-maxexponent(0\&._dp) )"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdsafmax\fP = \fBdone\fP / \fBdsafmin\fP"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdsmlnum\fP = \fBdsafmin\fP / \fBdulp\fP"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdbignum\fP = \fBdsafmax\fP * \fBdulp\fP"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdrtmin\fP = sqrt(\fBdsmlnum\fP)"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdrtmax\fP = sqrt(\fBdbignum\fP)"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdtsml\fP = real(radix(0\&._dp), \fBdp\fP)**ceiling( (minexponent(0\&._dp) \- 1) * 0\&.5_dp)"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdtbig\fP = real(radix(0\&._dp), \fBdp\fP)**floor( (maxexponent(0\&._dp) \- digits(0\&._dp) + 1) * 0\&.5_dp)"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdssml\fP = real(radix(0\&._dp), \fBdp\fP)**( \- floor( (minexponent(0\&._dp) \- digits(0\&._dp)) * 0\&.5_dp))"
.br
.ti -1c
.RI "real(\fBdp\fP), parameter \fBdsbig\fP = real(radix(0\&._dp), \fBdp\fP)**( \- ceiling( (maxexponent(0\&._dp) + digits(0\&._dp) \- 1) * 0\&.5_dp))"
.br
.in -1c
.SH "Detailed Description"
.PP 
\fBLA_CONSTANTS\fP is a module for the scaling constants for the compiled Fortran single and double precisions 


.PP
\fBAuthor\fP
.RS 4
Edward Anderson, Lockheed Martin 
.RE
.PP
\fBDate\fP
.RS 4
May 2016 
.RE
.PP
\fBContributors:\fP
.RS 4
Weslley Pereira, University of Colorado Denver, USA Nick Papior, Technical University of Denmark, DK 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
!>
!>  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
!>
!> 
.fi
.PP
 
.RE
.PP

.SH "Variable Documentation"
.PP 
.SS "complex(\fBsp\fP), parameter la_constants::chalf = ( 0\&.5_sp, 0\&.0_sp )"

.PP
Definition at line \fB57\fP of file \fBla_constants\&.f90\fP\&.
.SS "complex(\fBsp\fP), parameter la_constants::cone = ( 1\&.0_sp, 0\&.0_sp )"

.PP
Definition at line \fB58\fP of file \fBla_constants\&.f90\fP\&.
.SS "character*1, parameter la_constants::cprefix = 'C'"

.PP
Definition at line \fB60\fP of file \fBla_constants\&.f90\fP\&.
.SS "complex(\fBsp\fP), parameter la_constants::czero = ( 0\&.0_sp, 0\&.0_sp )"

.PP
Definition at line \fB56\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dbignum = \fBdsafmax\fP * \fBdulp\fP"

.PP
Definition at line \fB114\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::deight = 8\&.0_dp"

.PP
Definition at line \fB97\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::deps = \fBdulp\fP * 0\&.5_dp"

.PP
Definition at line \fB107\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dfour = 4\&.0_dp"

.PP
Definition at line \fB96\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dhalf = 0\&.5_dp"

.PP
Definition at line \fB92\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::done = 1\&.0_dp"

.PP
Definition at line \fB93\fP of file \fBla_constants\&.f90\fP\&.
.SS "integer, parameter la_constants::dp = kind(1\&.d0)"

.PP
Definition at line \fB89\fP of file \fBla_constants\&.f90\fP\&.
.SS "character*1, parameter la_constants::dprefix = 'D'"

.PP
Definition at line \fB102\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::drtmax = sqrt(\fBdbignum\fP)"

.PP
Definition at line \fB116\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::drtmin = sqrt(\fBdsmlnum\fP)"

.PP
Definition at line \fB115\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dsafmax = \fBdone\fP / \fBdsafmin\fP"

.PP
Definition at line \fB112\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dsafmin = real(radix(0\&._dp), \fBdp\fP)**max( minexponent(0\&._dp)\-1, 1\-maxexponent(0\&._dp) )"

.PP
Definition at line \fB108\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dsbig = real(radix(0\&._dp), \fBdp\fP)**( \- ceiling( (maxexponent(0\&._dp) + digits(0\&._dp) \- 1) * 0\&.5_dp))"

.PP
Definition at line \fB128\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dsmlnum = \fBdsafmin\fP / \fBdulp\fP"

.PP
Definition at line \fB113\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dssml = real(radix(0\&._dp), \fBdp\fP)**( \- floor( (minexponent(0\&._dp) \- digits(0\&._dp)) * 0\&.5_dp))"

.PP
Definition at line \fB125\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dtbig = real(radix(0\&._dp), \fBdp\fP)**floor( (maxexponent(0\&._dp) \- digits(0\&._dp) + 1) * 0\&.5_dp)"

.PP
Definition at line \fB121\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dten = 10\&.0_dp"

.PP
Definition at line \fB98\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dthree = 3\&.0_dp"

.PP
Definition at line \fB95\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dtsml = real(radix(0\&._dp), \fBdp\fP)**ceiling( (minexponent(0\&._dp) \- 1) * 0\&.5_dp)"

.PP
Definition at line \fB119\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dtwo = 2\&.0_dp"

.PP
Definition at line \fB94\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dulp = epsilon(0\&._dp)"

.PP
Definition at line \fB106\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBdp\fP), parameter la_constants::dzero = 0\&.0_dp"

.PP
Definition at line \fB91\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::sbignum = \fBssafmax\fP * \fBsulp\fP"

.PP
Definition at line \fB71\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::seight = 8\&.0_sp"

.PP
Definition at line \fB54\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::seps = \fBsulp\fP * 0\&.5_sp"

.PP
Definition at line \fB64\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::sfour = 4\&.0_sp"

.PP
Definition at line \fB53\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::shalf = 0\&.5_sp"

.PP
Definition at line \fB49\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::sone = 1\&.0_sp"

.PP
Definition at line \fB50\fP of file \fBla_constants\&.f90\fP\&.
.SS "integer, parameter la_constants::sp = kind(1\&.e0)"

.PP
Definition at line \fB46\fP of file \fBla_constants\&.f90\fP\&.
.SS "character*1, parameter la_constants::sprefix = 'S'"

.PP
Definition at line \fB59\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::srtmax = sqrt(\fBsbignum\fP)"

.PP
Definition at line \fB73\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::srtmin = sqrt(\fBssmlnum\fP)"

.PP
Definition at line \fB72\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::ssafmax = \fBsone\fP / \fBssafmin\fP"

.PP
Definition at line \fB69\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::ssafmin = real(radix(0\&._sp), \fBsp\fP)**max( minexponent(0\&._sp)\-1, 1\-maxexponent(0\&._sp) )"

.PP
Definition at line \fB65\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::ssbig = real(radix(0\&._sp), \fBsp\fP)**( \- ceiling( (maxexponent(0\&._sp) + digits(0\&._sp) \- 1) * 0\&.5_sp))"

.PP
Definition at line \fB85\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::ssmlnum = \fBssafmin\fP / \fBsulp\fP"

.PP
Definition at line \fB70\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::sssml = real(radix(0\&._sp), \fBsp\fP)**( \- floor( (minexponent(0\&._sp) \- digits(0\&._sp)) * 0\&.5_sp))"

.PP
Definition at line \fB82\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::stbig = real(radix(0\&._sp), \fBsp\fP)**floor( (maxexponent(0\&._sp) \- digits(0\&._sp) + 1) * 0\&.5_sp)"

.PP
Definition at line \fB78\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::sten = 10\&.0_sp"

.PP
Definition at line \fB55\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::sthree = 3\&.0_sp"

.PP
Definition at line \fB52\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::stsml = real(radix(0\&._sp), \fBsp\fP)**ceiling( (minexponent(0\&._sp) \- 1) * 0\&.5_sp)"

.PP
Definition at line \fB76\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::stwo = 2\&.0_sp"

.PP
Definition at line \fB51\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::sulp = epsilon(0\&._sp)"

.PP
Definition at line \fB63\fP of file \fBla_constants\&.f90\fP\&.
.SS "real(\fBsp\fP), parameter la_constants::szero = 0\&.0_sp"

.PP
Definition at line \fB48\fP of file \fBla_constants\&.f90\fP\&.
.SS "complex(\fBdp\fP), parameter la_constants::zhalf = ( 0\&.5_dp, 0\&.0_dp )"

.PP
Definition at line \fB100\fP of file \fBla_constants\&.f90\fP\&.
.SS "complex(\fBdp\fP), parameter la_constants::zone = ( 1\&.0_dp, 0\&.0_dp )"

.PP
Definition at line \fB101\fP of file \fBla_constants\&.f90\fP\&.
.SS "character*1, parameter la_constants::zprefix = 'Z'"

.PP
Definition at line \fB103\fP of file \fBla_constants\&.f90\fP\&.
.SS "complex(\fBdp\fP), parameter la_constants::zzero = ( 0\&.0_dp, 0\&.0_dp )"

.PP
Definition at line \fB99\fP of file \fBla_constants\&.f90\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.