SLAMC5 (3)  Linux Manuals
NAME
slamchf77.f 
SYNOPSIS
Functions/Subroutines
REAL function slamch (CMACH)
SLAMCHF77 deprecated
subroutine slamc1 (BETA, T, RND, IEEE1)
SLAMC1
subroutine slamc2 (BETA, T, RND, EPS, EMIN, RMIN, EMAX, RMAX)
SLAMC2
REAL function slamc3 (A, B)
SLAMC3
subroutine slamc4 (EMIN, START, BASE)
SLAMC4
subroutine slamc5 (BETA, P, EMIN, IEEE, EMAX, RMAX)
SLAMC5
Function/Subroutine Documentation
subroutine slamc1 (integerBETA, integerT, logicalRND, logicalIEEE1)
SLAMC1 Purpose:
SLAMC1 determines the machine parameters given by BETA, T, RND, and IEEE1.
Parameters:

BETA
The base of the machine.
TThe number of ( BETA ) digits in the mantissa.
RNDSpecifies 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.
IEEE1Specifies 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 floatingpoint arithmetic. Comms. of the ACM, 15, 949951. Gentleman W. M. and Marovich S. B. (1974) More on algorithms that reveal properties of floating point arithmetic units. Comms. of the ACM, 17, 276277.
Definition at line 210 of file slamchf77.f.
subroutine slamc2 (integerBETA, integerT, logicalRND, realEPS, integerEMIN, realRMIN, integerEMAX, realRMAX)
SLAMC2 Purpose:
SLAMC2 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.
TThe number of ( BETA ) digits in the mantissa.
RNDSpecifies 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.
EPSThe smallest positive number such that fl( 1.0  EPS ) .LT. 1.0, where fl denotes the computed value.
EMINThe minimum exponent before (gradual) underflow occurs.
RMINThe smallest normalized number for the machine, given by BASE**( EMIN  1 ), where BASE is the floating point value of BETA.
EMAXThe maximum exponent before overflow occurs.
RMAXThe 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 423 of file slamchf77.f.
REAL function slamc3 (realA, realB)
SLAMC3 Purpose:
SLAMC3 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
BThe values A and B.
Definition at line 646 of file slamchf77.f.
subroutine slamc4 (integerEMIN, realSTART, integerBASE)
SLAMC4 Purpose:
SLAMC4 is a service routine for SLAMC2.
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.
STARTThe starting point for determining EMIN.
BASEThe base of the machine.
Definition at line 693 of file slamchf77.f.
subroutine slamc5 (integerBETA, integerP, integerEMIN, logicalIEEE, integerEMAX, realRMAX)
SLAMC5 Purpose:
SLAMC5 attempts to compute RMAX, the largest machine floatingpoint 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 floatingpoint arithmetic.
PThe number of base BETA digits in the mantissa of a floatingpoint value.
EMINThe minimum exponent before (gradual) underflow.
IEEEA logical flag specifying whether or not the arithmetic system is thought to comply with the IEEE standard.
EMAXThe largest exponent before overflow
RMAXThe largest machine floatingpoint number.
Definition at line 801 of file slamchf77.f.
REAL function slamch (characterCMACH)
SLAMCHF77 deprecated Purpose:

SLAMCH determines single precision machine parameters.
Parameters:

CMACH
Specifies the value to be returned by SLAMCH: = 'E' or 'e', SLAMCH := eps = 'S' or 's , SLAMCH := sfmin = 'B' or 'b', SLAMCH := base = 'P' or 'p', SLAMCH := eps*base = 'N' or 'n', SLAMCH := t = 'R' or 'r', SLAMCH := rnd = 'M' or 'm', SLAMCH := emin = 'U' or 'u', SLAMCH := rmin = 'L' or 'l', SLAMCH := emax = 'O' or 'o', SLAMCH := 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**(emin1) emax = largest exponent before overflow rmax = overflow threshold  (base**emax)*(1eps)
Author:

Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
 April 2012
Definition at line 68 of file slamchf77.f.
Author
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