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    1: *> \brief \b SLAMCH
    2: *
    3: *  =========== DOCUMENTATION ===========
    4: *
    5: * Online html documentation available at
    6: *            http://www.netlib.org/lapack/explore-html/
    7: *
    8: *  Definition:
    9: *  ===========
   10: *
   11: *      REAL             FUNCTION SLAMCH( CMACH )
   12: *
   13: *     .. Scalar Arguments ..
   14: *      CHARACTER          CMACH
   15: *     ..
   16: *
   17: *
   18: *> \par Purpose:
   19: *  =============
   20: *>
   21: *> \verbatim
   22: *>
   23: *> SLAMCH determines single precision machine parameters.
   24: *> \endverbatim
   25: *
   26: *  Arguments:
   27: *  ==========
   28: *
   29: *> \param[in] CMACH
   30: *> \verbatim
   31: *>          CMACH is CHARACTER*1
   32: *>          Specifies the value to be returned by SLAMCH:
   33: *>          = 'E' or 'e',   SLAMCH := eps
   34: *>          = 'S' or 's ,   SLAMCH := sfmin
   35: *>          = 'B' or 'b',   SLAMCH := base
   36: *>          = 'P' or 'p',   SLAMCH := eps*base
   37: *>          = 'N' or 'n',   SLAMCH := t
   38: *>          = 'R' or 'r',   SLAMCH := rnd
   39: *>          = 'M' or 'm',   SLAMCH := emin
   40: *>          = 'U' or 'u',   SLAMCH := rmin
   41: *>          = 'L' or 'l',   SLAMCH := emax
   42: *>          = 'O' or 'o',   SLAMCH := rmax
   43: *>          where
   44: *>          eps   = relative machine precision
   45: *>          sfmin = safe minimum, such that 1/sfmin does not overflow
   46: *>          base  = base of the machine
   47: *>          prec  = eps*base
   48: *>          t     = number of (base) digits in the mantissa
   49: *>          rnd   = 1.0 when rounding occurs in addition, 0.0 otherwise
   50: *>          emin  = minimum exponent before (gradual) underflow
   51: *>          rmin  = underflow threshold - base**(emin-1)
   52: *>          emax  = largest exponent before overflow
   53: *>          rmax  = overflow threshold  - (base**emax)*(1-eps)
   54: *> \endverbatim
   55: *
   56: *  Authors:
   57: *  ========
   58: *
   59: *> \author Univ. of Tennessee
   60: *> \author Univ. of California Berkeley
   61: *> \author Univ. of Colorado Denver
   62: *> \author NAG Ltd.
   63: *
   64: *> \date December 2016
   65: *
   66: *> \ingroup auxOTHERauxiliary
   67: *
   68: *  =====================================================================
   69:       REAL             FUNCTION SLAMCH( CMACH )
   70: *
   71: *  -- LAPACK auxiliary routine (version 3.7.0) --
   72: *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
   73: *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
   74: *     December 2016
   75: *
   76: *     .. Scalar Arguments ..
   77:       CHARACTER          CMACH
   78: *     ..
   79: *
   80: * =====================================================================
   81: *
   82: *     .. Parameters ..
   83:       REAL               ONE, ZERO
   84:       PARAMETER          ( ONE = 1.0E+0, ZERO = 0.0E+0 )
   85: *     ..
   86: *     .. Local Scalars ..
   87:       REAL               RND, EPS, SFMIN, SMALL, RMACH
   88: *     ..
   89: *     .. External Functions ..
   90:       LOGICAL            LSAME
   91:       EXTERNAL           LSAME
   92: *     ..
   93: *     .. Intrinsic Functions ..
   94:       INTRINSIC          DIGITS, EPSILON, HUGE, MAXEXPONENT,
   95:      $                   MINEXPONENT, RADIX, TINY
   96: *     ..
   97: *     .. Executable Statements ..
   98: *
   99: *
  100: *     Assume rounding, not chopping. Always.
  101: *
  102:       RND = ONE
  103: *
  104:       IF( ONE.EQ.RND ) THEN
  105:          EPS = EPSILON(ZERO) * 0.5
  106:       ELSE
  107:          EPS = EPSILON(ZERO)
  108:       END IF
  109: *
  110:       IF( LSAME( CMACH, 'E' ) ) THEN
  111:          RMACH = EPS
  112:       ELSE IF( LSAME( CMACH, 'S' ) ) THEN
  113:          SFMIN = TINY(ZERO)
  114:          SMALL = ONE / HUGE(ZERO)
  115:          IF( SMALL.GE.SFMIN ) THEN
  116: *
  117: *           Use SMALL plus a bit, to avoid the possibility of rounding
  118: *           causing overflow when computing  1/sfmin.
  119: *
  120:             SFMIN = SMALL*( ONE+EPS )
  121:          END IF
  122:          RMACH = SFMIN
  123:       ELSE IF( LSAME( CMACH, 'B' ) ) THEN
  124:          RMACH = RADIX(ZERO)
  125:       ELSE IF( LSAME( CMACH, 'P' ) ) THEN
  126:          RMACH = EPS * RADIX(ZERO)
  127:       ELSE IF( LSAME( CMACH, 'N' ) ) THEN
  128:          RMACH = DIGITS(ZERO)
  129:       ELSE IF( LSAME( CMACH, 'R' ) ) THEN
  130:          RMACH = RND
  131:       ELSE IF( LSAME( CMACH, 'M' ) ) THEN
  132:          RMACH = MINEXPONENT(ZERO)
  133:       ELSE IF( LSAME( CMACH, 'U' ) ) THEN
  134:          RMACH = tiny(zero)
  135:       ELSE IF( LSAME( CMACH, 'L' ) ) THEN
  136:          RMACH = MAXEXPONENT(ZERO)
  137:       ELSE IF( LSAME( CMACH, 'O' ) ) THEN
  138:          RMACH = HUGE(ZERO)
  139:       ELSE
  140:          RMACH = ZERO
  141:       END IF
  142: *
  143:       SLAMCH = RMACH
  144:       RETURN
  145: *
  146: *     End of SLAMCH
  147: *
  148:       END
  149: ************************************************************************
  150: *> \brief \b SLAMC3
  151: *> \details
  152: *> \b Purpose:
  153: *> \verbatim
  154: *> SLAMC3  is intended to force  A  and  B  to be stored prior to doing
  155: *> the addition of  A  and  B ,  for use in situations where optimizers
  156: *> might hold one of these in a register.
  157: *> \endverbatim
  158: *> \author LAPACK is a software package provided by Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..
  159: *> \date December 2016
  160: *> \ingroup auxOTHERauxiliary
  161: *>
  162: *> \param[in] A
  163: *> \verbatim
  164: *> \endverbatim
  165: *>
  166: *> \param[in] B
  167: *> \verbatim
  168: *>          The values A and B.
  169: *> \endverbatim
  170: *>
  171: *
  172:       REAL             FUNCTION SLAMC3( A, B )
  173: *
  174: *  -- LAPACK auxiliary routine (version 3.7.0) --
  175: *     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
  176: *     November 2010
  177: *
  178: *     .. Scalar Arguments ..
  179:       REAL               A, B
  180: *     ..
  181: * =====================================================================
  182: *
  183: *     .. Executable Statements ..
  184: *
  185:       SLAMC3 = A + B
  186: *
  187:       RETURN
  188: *
  189: *     End of SLAMC3
  190: *
  191:       END
  192: *
  193: ************************************************************************