.TH "roundup_lwork" 3 "Wed Feb 7 2024 11:30:40" "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
roundup_lwork \- roundup_lwork: fix rounding integer to float
.SH SYNOPSIS
.br
.PP
.SS "Functions"

.in +1c
.ti -1c
.RI "double precision function \fBdroundup_lwork\fP (lwork)"
.br
.RI "\fBDROUNDUP_LWORK\fP "
.ti -1c
.RI "real function \fBsroundup_lwork\fP (lwork)"
.br
.RI "\fBSROUNDUP_LWORK\fP "
.in -1c
.SH "Detailed Description"
.PP 

.SH "Function Documentation"
.PP 
.SS "double precision function droundup_lwork (integer lwork)"

.PP
\fBDROUNDUP_LWORK\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 DROUNDUP_LWORK deals with a subtle bug with returning LWORK as a Float\&.
 This routine guarantees it is rounded up instead of down by
 multiplying LWORK by 1+eps when it is necessary, where eps is the relative machine precision\&.
 E\&.g\&.,

        float( 9007199254740993            ) == 9007199254740992
        float( 9007199254740993 ) * (1\&.+eps) == 9007199254740994

 \\return DROUNDUP_LWORK
 \\verbatim
         DROUNDUP_LWORK >= LWORK\&.
         DROUNDUP_LWORK is guaranteed to have zero decimal part\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fILWORK\fP Workspace size\&. 
.RE
.PP
\fBAuthor\fP
.RS 4
Weslley Pereira, University of Colorado Denver, USA 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
  This routine was inspired in the method `magma_zmake_lwork` from MAGMA\&.
  \\see https://bitbucket\&.org/icl/magma/src/master/control/magma_zauxiliary\&.cpp
.fi
.PP
 
.RE
.PP

.SS "real function sroundup_lwork (integer lwork)"

.PP
\fBSROUNDUP_LWORK\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 SROUNDUP_LWORK deals with a subtle bug with returning LWORK as a Float\&.
 This routine guarantees it is rounded up instead of down by
 multiplying LWORK by 1+eps when it is necessary, where eps is the relative machine precision\&.
 E\&.g\&.,

        float( 16777217            ) == 16777216
        float( 16777217 ) * (1\&.+eps) == 16777218

 \\return SROUNDUP_LWORK
 \\verbatim
         SROUNDUP_LWORK >= LWORK\&.
         SROUNDUP_LWORK is guaranteed to have zero decimal part\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fILWORK\fP Workspace size\&. 
.RE
.PP
\fBAuthor\fP
.RS 4
Weslley Pereira, University of Colorado Denver, USA 
.RE
.PP
\fBFurther Details:\fP
.RS 4

.PP
.nf
  This routine was inspired in the method `magma_zmake_lwork` from MAGMA\&.
  \\see https://bitbucket\&.org/icl/magma/src/master/control/magma_zauxiliary\&.cpp
.fi
.PP
 
.RE
.PP

.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.