NAME

       roundup_lwork - roundup_lwork: fix rounding integer to float

SYNOPSIS

   Functions
       double precision function droundup_lwork (lwork)
           DROUNDUP_LWORK
       real function sroundup_lwork (lwork)
           SROUNDUP_LWORK

Detailed Description

Function Documentation

   double precision function droundup_lwork (integer lwork)
       DROUNDUP_LWORK

       Purpose:

            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.

       Parameters
           LWORK Workspace size.

       Author
           Weslley Pereira, University of Colorado Denver, USA

       Further Details:

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

   real function sroundup_lwork (integer lwork)
       SROUNDUP_LWORK

       Purpose:

            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.

       Parameters
           LWORK Workspace size.

       Author
           Weslley Pereira, University of Colorado Denver, USA

       Further Details:

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

Author

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