dlamchf77.f(3)

NAME
dlamchf77.f -

SYNOPSIS

  Functions/Subroutines
DOUBLE PRECISION function dlamch (CMACH)
DLAMCHF77 deprecated
subroutine dlamc1 (BETA, T, RND, IEEE1)
DLAMC1
subroutine dlamc2 (BETA, T, RND, EPS, EMIN, RMIN, EMAX, RMAX)
DLAMC2
DOUBLE PRECISION function dlamc3 (A, B)
DLAMC3
subroutine dlamc4 (EMIN, START, BASE)
DLAMC4
subroutine dlamc5 (BETA, P, EMIN, IEEE, EMAX, RMAX)
DLAMC5

Function/Subroutine Documentation

  subroutine dlamc1 (integerBETA, integerT, logicalRND, logicalIEEE1)

DLAMC1 Purpose:

 DLAMC1 determines the machine parameters given by BETA, T, RND, and
 IEEE1.

Parameters:
    BETA

              The base of the machine.

    T

              The number of ( BETA ) digits in the mantissa.

    RND

              Specifies whether proper rounding  ( RND = .TRUE. )  or
              chopping  ( RND = .FALSE. )  occurs in addition. This may not
              be a reliable guide to the way in which the machine performs
              its arithmetic.

    IEEE1

              Specifies whether rounding appears to be done in the IEEE
              'round to nearest' style.

Author:
    LAPACK is a software package provided by Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..

Date:
    April 2012

Further Details

  The routine is based on the routine  ENVRON  by Malcolm and
  incorporates suggestions by Gentleman and Marovich. See
     Malcolm M. A. (1972) Algorithms to reveal properties of
        floating-point arithmetic. Comms. of the ACM, 15, 949-951.
     Gentleman W. M. and Marovich S. B. (1974) More on algorithms
        that reveal properties of floating point arithmetic units.
        Comms. of the ACM, 17, 276-277.

Definition at line 206 of file dlamchf77.f.

  subroutine dlamc2 (integerBETA, integerT, logicalRND, double precisionEPS, integerEMIN, double precisionRMIN, integerEMAX, double precisionRMAX)

DLAMC2 Purpose:

 DLAMC2 determines the machine parameters specified in its argument
 list.

Author:
    LAPACK is a software package provided by Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..

Date:
    April 2012

Parameters:
    BETA

              The base of the machine.

    T

              The number of ( BETA ) digits in the mantissa.

    RND

              Specifies whether proper rounding  ( RND = .TRUE. )  or
              chopping  ( RND = .FALSE. )  occurs in addition. This may not
              be a reliable guide to the way in which the machine performs
              its arithmetic.

    EPS

              The smallest positive number such that
                 fl( 1.0 - EPS ) .LT. 1.0,
              where fl denotes the computed value.

    EMIN

              The minimum exponent before (gradual) underflow occurs.

    RMIN

              The smallest normalized number for the machine, given by
              BASE**( EMIN - 1 ), where  BASE  is the floating point value
              of BETA.

    EMAX

              The maximum exponent before overflow occurs.

    RMAX

              The largest positive number for the machine, given by
              BASE**EMAX * ( 1 - EPS ), where  BASE  is the floating point
              value of BETA.

Further Details

  The computation of  EPS  is based on a routine PARANOIA by
  W. Kahan of the University of California at Berkeley.

Definition at line 419 of file dlamchf77.f.

  DOUBLE PRECISION function dlamc3 (double precisionA, double precisionB)

DLAMC3 Purpose:

 DLAMC3  is intended to force  A  and  B  to be stored prior to doing
 the addition of  A  and  B ,  for use in situations where optimizers
 might hold one of these in a register.

Parameters:
    A
    B

              The values A and B.

Definition at line 642 of file dlamchf77.f.

  subroutine dlamc4 (integerEMIN, double precisionSTART, integerBASE)

DLAMC4 Purpose:

 DLAMC4 is a service routine for DLAMC2.

Parameters:
    EMIN

              The minimum exponent before (gradual) underflow, computed by
              setting A = START and dividing by BASE until the previous A
              can not be recovered.

    START

              The starting point for determining EMIN.

    BASE

              The base of the machine.

Definition at line 689 of file dlamchf77.f.

  subroutine dlamc5 (integerBETA, integerP, integerEMIN, logicalIEEE, integerEMAX, double precisionRMAX)

DLAMC5 Purpose:

 DLAMC5 attempts to compute RMAX, the largest machine floating-point
 number, without overflow.  It assumes that EMAX + abs(EMIN) sum
 approximately to a power of 2.  It will fail on machines where this
 assumption does not hold, for example, the Cyber 205 (EMIN = -28625,
 EMAX = 28718).  It will also fail if the value supplied for EMIN is
 too large (i.e. too close to zero), probably with overflow.

Parameters:
    BETA

              The base of floating-point arithmetic.

    P

              The number of base BETA digits in the mantissa of a
              floating-point value.

    EMIN

              The minimum exponent before (gradual) underflow.

    IEEE

              A logical flag specifying whether or not the arithmetic
              system is thought to comply with the IEEE standard.

    EMAX

              The largest exponent before overflow

    RMAX

              The largest machine floating-point number.

Definition at line 796 of file dlamchf77.f.

  DOUBLE PRECISION function dlamch (characterCMACH)

DLAMCHF77 deprecated Purpose:

     DLAMCHF77 determines double precision machine parameters.

Parameters:
    CMACH

              Specifies the value to be returned by DLAMCH:
              = 'E' or 'e',   DLAMCH := eps
              = 'S' or 's ,   DLAMCH := sfmin
              = 'B' or 'b',   DLAMCH := base
              = 'P' or 'p',   DLAMCH := eps*base
              = 'N' or 'n',   DLAMCH := t
              = 'R' or 'r',   DLAMCH := rnd
              = 'M' or 'm',   DLAMCH := emin
              = 'U' or 'u',   DLAMCH := rmin
              = 'L' or 'l',   DLAMCH := emax
              = 'O' or 'o',   DLAMCH := rmax
              where
              eps   = relative machine precision
              sfmin = safe minimum, such that 1/sfmin does not overflow
              base  = base of the machine
              prec  = eps*base
              t     = number of (base) digits in the mantissa
              rnd   = 1.0 when rounding occurs in addition, 0.0 otherwise
              emin  = minimum exponent before (gradual) underflow
              rmin  = underflow threshold - base**(emin-1)
              emax  = largest exponent before overflow
              rmax  = overflow threshold  - (base**emax)*(1-eps)

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    April 2012

Definition at line 64 of file dlamchf77.f.

Author

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