*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