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- *DECK D1MACH
- DOUBLE PRECISION FUNCTION D1MACH(I)
- C***BEGIN PROLOGUE D1MACH
- C***DATE WRITTEN 750101 (YYMMDD)
- C***REVISION DATE 890213 (YYMMDD)
- C***CATEGORY NO. R1
- C***KEYWORDS LIBRARY=SLATEC,TYPE=DOUBLE PRECISION(R1MACH-S D1MACH-D),
- C MACHINE CONSTANTS
- C***AUTHOR FOX, P. A., (BELL LABS)
- C HALL, A. D., (BELL LABS)
- C SCHRYER, N. L., (BELL LABS)
- C***PURPOSE Returns double precision machine dependent constants
- C***DESCRIPTION
- C
- C D1MACH can be used to obtain machine-dependent parameters
- C for the local machine environment. It is a function
- C subprogram with one (input) argument, and can be called
- C as follows, for example
- C
- C D = D1MACH(I)
- C
- C where I=1,...,5. The (output) value of D above is
- C determined by the (input) value of I. The results for
- C various values of I are discussed below.
- C
- C D1MACH( 1) = B**(EMIN-1), the smallest positive magnitude.
- C D1MACH( 2) = B**EMAX*(1 - B**(-T)), the largest magnitude.
- C D1MACH( 3) = B**(-T), the smallest relative spacing.
- C D1MACH( 4) = B**(1-T), the largest relative spacing.
- C D1MACH( 5) = LOG10(B)
- C
- C Assume double precision numbers are represented in the T-digit,
- C base-B form
- C
- C sign (B**E)*( (X(1)/B) + ... + (X(T)/B**T) )
- C
- C where 0 .LE. X(I) .LT. B for I=1,...,T, 0 .LT. X(1), and
- C EMIN .LE. E .LE. EMAX.
- C
- C The values of B, T, EMIN and EMAX are provided in I1MACH as
- C follows:
- C I1MACH(10) = B, the base.
- C I1MACH(14) = T, the number of base-B digits.
- C I1MACH(15) = EMIN, the smallest exponent E.
- C I1MACH(16) = EMAX, the largest exponent E.
- C
- C To alter this function for a particular environment,
- C the desired set of DATA statements should be activated by
- C removing the C from column 1. Also, the values of
- C D1MACH(1) - D1MACH(4) should be checked for consistency
- C with the local operating system.
- C
- C***REFERENCES FOX P.A., HALL A.D., SCHRYER N.L.,*FRAMEWORK FOR A
- C PORTABLE LIBRARY*, ACM TRANSACTIONS ON MATHEMATICAL
- C SOFTWARE, VOL. 4, NO. 2, JUNE 1978, PP. 177-188.
- C***ROUTINES CALLED XERROR
- C***END PROLOGUE D1MACH
- C
- INTEGER SMALL(4)
- INTEGER LARGE(4)
- INTEGER RIGHT(4)
- INTEGER DIVER(4)
- INTEGER LOG10(4)
- C
- DOUBLE PRECISION DMACH(5)
- SAVE DMACH
- C
- C EQUIVALENCE (DMACH(1),SMALL(1))
- C EQUIVALENCE (DMACH(2),LARGE(1))
- C EQUIVALENCE (DMACH(3),RIGHT(1))
- C EQUIVALENCE (DMACH(4),DIVER(1))
- C EQUIVALENCE (DMACH(5),LOG10(1))
- C
- C MACHINE CONSTANTS FOR THE IBM PC
- C ASSUMES THAT ALL ARITHMETIC IS DONE IN DOUBLE PRECISION
- C ON 8088, I.E., NOT IN 80 BIT FORM FOR THE 8087.
- C
- DATA DMACH(1) / 2.23D-308 /
- C DATA SMALL(1),SMALL(2) / 2002288515, 1050897 /
- DATA DMACH(2) / 1.79D-308 /
- C DATA LARGE(1),LARGE(2) / 1487780761, 2146426097 /
- DATA DMACH(3) / 1.11D-16 /
- C DATA RIGHT(1),RIGHT(2) / -1209488034, 1017118298 /
- DATA DMACH(4) / 2.22D-16 /
- C DATA DIVER(1),DIVER(2) / -1209488034, 1018166874 /
- DATA DMACH(5) / 0.3010299956639812 /
- C DATA LOG10(1),LOG10(2) / 1352628735, 1070810131 /
- C
- C
- C***FIRST EXECUTABLE STATEMENT D1MACH
- IF (I .LT. 1 .OR. I .GT. 5)
- 1 CALL XERROR ('D1MACH -- I OUT OF BOUNDS', 25, 1, 2)
- C
- D1MACH = DMACH(I)
- RETURN
- C
- END
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