qpms/amos/d1mach.f

428 lines
17 KiB
Fortran

*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
EQUIVALENCE (DMACH(1),SMALL(1))
EQUIVALENCE (DMACH(2),LARGE(1))
EQUIVALENCE (DMACH(3),RIGHT(1))
EQUIVALENCE (DMACH(4),DIVER(1))
EQUIVALENCE (DMACH(5),LOG10(1))
C
C MACHINE CONSTANTS FOR THE AMIGA
C ABSOFT FORTRAN COMPILER USING THE 68020/68881 COMPILER OPTION
C
C DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' /
C DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' /
C DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' /
C DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' /
C DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' /
C
C MACHINE CONSTANTS FOR THE AMIGA
C ABSOFT FORTRAN COMPILER USING SOFTWARE FLOATING POINT
C
C DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' /
C DATA LARGE(1), LARGE(2) / Z'7FDFFFFF', Z'FFFFFFFF' /
C DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' /
C DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' /
C DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' /
C
C MACHINE CONSTANTS FOR THE APOLLO
C
C DATA SMALL(1), SMALL(2) / 16#00100000, 16#00000000 /
C DATA LARGE(1), LARGE(2) / 16#7FFFFFFF, 16#FFFFFFFF /
C DATA RIGHT(1), RIGHT(2) / 16#3CA00000, 16#00000000 /
C DATA DIVER(1), DIVER(2) / 16#3CB00000, 16#00000000 /
C DATA LOG10(1), LOG10(2) / 16#3FD34413, 16#509F79FF /
C
C MACHINE CONSTANTS FOR THE BURROUGHS 1700 SYSTEM
C
C DATA SMALL(1) / ZC00800000 /
C DATA SMALL(2) / Z000000000 /
C DATA LARGE(1) / ZDFFFFFFFF /
C DATA LARGE(2) / ZFFFFFFFFF /
C DATA RIGHT(1) / ZCC5800000 /
C DATA RIGHT(2) / Z000000000 /
C DATA DIVER(1) / ZCC6800000 /
C DATA DIVER(2) / Z000000000 /
C DATA LOG10(1) / ZD00E730E7 /
C DATA LOG10(2) / ZC77800DC0 /
C
C MACHINE CONSTANTS FOR THE BURROUGHS 5700 SYSTEM
C
C DATA SMALL(1) / O1771000000000000 /
C DATA SMALL(2) / O0000000000000000 /
C DATA LARGE(1) / O0777777777777777 /
C DATA LARGE(2) / O0007777777777777 /
C DATA RIGHT(1) / O1461000000000000 /
C DATA RIGHT(2) / O0000000000000000 /
C DATA DIVER(1) / O1451000000000000 /
C DATA DIVER(2) / O0000000000000000 /
C DATA LOG10(1) / O1157163034761674 /
C DATA LOG10(2) / O0006677466732724 /
C
C MACHINE CONSTANTS FOR THE BURROUGHS 6700/7700 SYSTEMS
C
C DATA SMALL(1) / O1771000000000000 /
C DATA SMALL(2) / O7770000000000000 /
C DATA LARGE(1) / O0777777777777777 /
C DATA LARGE(2) / O7777777777777777 /
C DATA RIGHT(1) / O1461000000000000 /
C DATA RIGHT(2) / O0000000000000000 /
C DATA DIVER(1) / O1451000000000000 /
C DATA DIVER(2) / O0000000000000000 /
C DATA LOG10(1) / O1157163034761674 /
C DATA LOG10(2) / O0006677466732724 /
C
C MACHINE CONSTANTS FOR THE CDC 170/180 SERIES USING NOS/VE
C
C DATA SMALL(1) / Z"3001800000000000" /
C DATA SMALL(2) / Z"3001000000000000" /
C DATA LARGE(1) / Z"4FFEFFFFFFFFFFFE" /
C DATA LARGE(2) / Z"4FFE000000000000" /
C DATA RIGHT(1) / Z"3FD2800000000000" /
C DATA RIGHT(2) / Z"3FD2000000000000" /
C DATA DIVER(1) / Z"3FD3800000000000" /
C DATA DIVER(2) / Z"3FD3000000000000" /
C DATA LOG10(1) / Z"3FFF9A209A84FBCF" /
C DATA LOG10(2) / Z"3FFFF7988F8959AC" /
C
C MACHINE CONSTANTS FOR THE CDC 6000/7000 SERIES
C
C DATA SMALL(1) / 00564000000000000000B /
C DATA SMALL(2) / 00000000000000000000B /
C DATA LARGE(1) / 37757777777777777777B /
C DATA LARGE(2) / 37157777777777777777B /
C DATA RIGHT(1) / 15624000000000000000B /
C DATA RIGHT(2) / 00000000000000000000B /
C DATA DIVER(1) / 15634000000000000000B /
C DATA DIVER(2) / 00000000000000000000B /
C DATA LOG10(1) / 17164642023241175717B /
C DATA LOG10(2) / 16367571421742254654B /
C
C MACHINE CONSTANTS FOR THE CELERITY C1260
C
C DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' /
C DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' /
C DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' /
C DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' /
C DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' /
C
C MACHINE CONSTANTS FOR THE CONVEX C-1
C
C DATA SMALL(1), SMALL(2) / '00100000'X,'00000000'X /
C DATA LARGE(1), LARGE(2) / '7FFFFFFF'X,'FFFFFFFF'X /
C DATA RIGHT(1), RIGHT(2) / '3CC00000'X,'00000000'X /
C DATA DIVER(1), DIVER(2) / '3CD00000'X,'00000000'X /
C DATA LOG10(1), LOG10(2) / '3FF34413'X,'509F79FF'X /
C
C MACHINE CONSTANTS FOR THE CRAY-1
C
C DATA SMALL(1) / 201354000000000000000B /
C DATA SMALL(2) / 000000000000000000000B /
C DATA LARGE(1) / 577767777777777777777B /
C DATA LARGE(2) / 000007777777777777774B /
C DATA RIGHT(1) / 376434000000000000000B /
C DATA RIGHT(2) / 000000000000000000000B /
C DATA DIVER(1) / 376444000000000000000B /
C DATA DIVER(2) / 000000000000000000000B /
C DATA LOG10(1) / 377774642023241175717B /
C DATA LOG10(2) / 000007571421742254654B /
C
C MACHINE CONSTANTS FOR THE DATA GENERAL ECLIPSE S/200
C
C NOTE - IT MAY BE APPROPRIATE TO INCLUDE THE FOLLOWING CARD -
C STATIC DMACH(5)
C
C DATA SMALL / 20K, 3*0 /
C DATA LARGE / 77777K, 3*177777K /
C DATA RIGHT / 31420K, 3*0 /
C DATA DIVER / 32020K, 3*0 /
C DATA LOG10 / 40423K, 42023K, 50237K, 74776K /
C
C MACHINE CONSTANTS FOR THE ELXSI 6400
C (ASSUMING REAL*8 IS THE DEFAULT DOUBLE PRECISION)
C
C DATA SMALL(1), SMALL(2) / '00100000'X,'00000000'X /
C DATA LARGE(1), LARGE(2) / '7FEFFFFF'X,'FFFFFFFF'X /
C DATA RIGHT(1), RIGHT(2) / '3CB00000'X,'00000000'X /
C DATA DIVER(1), DIVER(2) / '3CC00000'X,'00000000'X /
C DATA LOG10(1), LOG10(2) / '3FD34413'X,'509F79FF'X /
C
C MACHINE CONSTANTS FOR THE HARRIS 220
C
C DATA SMALL(1), SMALL(2) / '20000000, '00000201 /
C DATA LARGE(1), LARGE(2) / '37777777, '37777577 /
C DATA RIGHT(1), RIGHT(2) / '20000000, '00000333 /
C DATA DIVER(1), DIVER(2) / '20000000, '00000334 /
C DATA LOG10(1), LOG10(2) / '23210115, '10237777 /
C
C MACHINE CONSTANTS FOR THE HONEYWELL 600/6000 SERIES
C
C DATA SMALL(1), SMALL(2) / O402400000000, O000000000000 /
C DATA LARGE(1), LARGE(2) / O376777777777, O777777777777 /
C DATA RIGHT(1), RIGHT(2) / O604400000000, O000000000000 /
C DATA DIVER(1), DIVER(2) / O606400000000, O000000000000 /
C DATA LOG10(1), LOG10(2) / O776464202324, O117571775714 /
C
C MACHINE CONSTANTS FOR THE HP 2100
C THREE WORD DOUBLE PRECISION OPTION WITH FTN4
C
C DATA SMALL(1), SMALL(2), SMALL(3) / 40000B, 0, 1 /
C DATA LARGE(1), LARGE(2), LARGE(3) / 77777B, 177777B, 177776B /
C DATA RIGHT(1), RIGHT(2), RIGHT(3) / 40000B, 0, 265B /
C DATA DIVER(1), DIVER(2), DIVER(3) / 40000B, 0, 276B /
C DATA LOG10(1), LOG10(2), LOG10(3) / 46420B, 46502B, 77777B /
C
C MACHINE CONSTANTS FOR THE HP 2100
C FOUR WORD DOUBLE PRECISION OPTION WITH FTN4
C
C DATA SMALL(1), SMALL(2) / 40000B, 0 /
C DATA SMALL(3), SMALL(4) / 0, 1 /
C DATA LARGE(1), LARGE(2) / 77777B, 177777B /
C DATA LARGE(3), LARGE(4) / 177777B, 177776B /
C DATA RIGHT(1), RIGHT(2) / 40000B, 0 /
C DATA RIGHT(3), RIGHT(4) / 0, 225B /
C DATA DIVER(1), DIVER(2) / 40000B, 0 /
C DATA DIVER(3), DIVER(4) / 0, 227B /
C DATA LOG10(1), LOG10(2) / 46420B, 46502B /
C DATA LOG10(3), LOG10(4) / 76747B, 176377B /
C
C MACHINE CONSTANTS FOR THE HP 9000
C
C DATA SMALL(1), SMALL(2) / 00040000000B, 00000000000B /
C DATA LARGE(1), LARGE(2) / 17737777777B, 37777777777B /
C DATA RIGHT(1), RIGHT(2) / 07454000000B, 00000000000B /
C DATA DIVER(1), DIVER(2) / 07460000000B, 00000000000B /
C DATA LOG10(1), LOG10(2) / 07764642023B, 12047674777B /
C
C MACHINE CONSTANTS FOR THE IBM 360/370 SERIES,
C THE XEROX SIGMA 5/7/9, THE SEL SYSTEMS 85/86, AND
C THE PERKIN ELMER (INTERDATA) 7/32.
C
C DATA SMALL(1), SMALL(2) / Z00100000, Z00000000 /
C DATA LARGE(1), LARGE(2) / Z7FFFFFFF, ZFFFFFFFF /
C DATA RIGHT(1), RIGHT(2) / Z33100000, Z00000000 /
C DATA DIVER(1), DIVER(2) / Z34100000, Z00000000 /
C DATA LOG10(1), LOG10(2) / Z41134413, Z509F79FF /
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
C DATA SMALL(1),SMALL(2) / 2002288515, 1050897 /
C DATA LARGE(1),LARGE(2) / 1487780761, 2146426097 /
C DATA RIGHT(1),RIGHT(2) / -1209488034, 1017118298 /
C DATA DIVER(1),DIVER(2) / -1209488034, 1018166874 /
C DATA LOG10(1),LOG10(2) / 1352628735, 1070810131 /
C
C MACHINE CONSTANTS FOR THE IBM RS 6000
C
C DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' /
C DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' /
C DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' /
C DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' /
C DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' /
C
C MACHINE CONSTANTS FOR THE PDP-10 (KA PROCESSOR)
C
C DATA SMALL(1), SMALL(2) / "033400000000, "000000000000 /
C DATA LARGE(1), LARGE(2) / "377777777777, "344777777777 /
C DATA RIGHT(1), RIGHT(2) / "113400000000, "000000000000 /
C DATA DIVER(1), DIVER(2) / "114400000000, "000000000000 /
C DATA LOG10(1), LOG10(2) / "177464202324, "144117571776 /
C
C MACHINE CONSTANTS FOR THE PDP-10 (KI PROCESSOR)
C
C DATA SMALL(1), SMALL(2) / "000400000000, "000000000000 /
C DATA LARGE(1), LARGE(2) / "377777777777, "377777777777 /
C DATA RIGHT(1), RIGHT(2) / "103400000000, "000000000000 /
C DATA DIVER(1), DIVER(2) / "104400000000, "000000000000 /
C DATA LOG10(1), LOG10(2) / "177464202324, "476747767461 /
C
C MACHINE CONSTANTS FOR PDP-11 FORTRAN SUPPORTING
C 32-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL).
C
C DATA SMALL(1), SMALL(2) / 8388608, 0 /
C DATA LARGE(1), LARGE(2) / 2147483647, -1 /
C DATA RIGHT(1), RIGHT(2) / 612368384, 0 /
C DATA DIVER(1), DIVER(2) / 620756992, 0 /
C DATA LOG10(1), LOG10(2) / 1067065498, -2063872008 /
C
C DATA SMALL(1), SMALL(2) / O00040000000, O00000000000 /
C DATA LARGE(1), LARGE(2) / O17777777777, O37777777777 /
C DATA RIGHT(1), RIGHT(2) / O04440000000, O00000000000 /
C DATA DIVER(1), DIVER(2) / O04500000000, O00000000000 /
C DATA LOG10(1), LOG10(2) / O07746420232, O20476747770 /
C
C MACHINE CONSTANTS FOR PDP-11 FORTRAN SUPPORTING
C 16-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL).
C
C DATA SMALL(1), SMALL(2) / 128, 0 /
C DATA SMALL(3), SMALL(4) / 0, 0 /
C DATA LARGE(1), LARGE(2) / 32767, -1 /
C DATA LARGE(3), LARGE(4) / -1, -1 /
C DATA RIGHT(1), RIGHT(2) / 9344, 0 /
C DATA RIGHT(3), RIGHT(4) / 0, 0 /
C DATA DIVER(1), DIVER(2) / 9472, 0 /
C DATA DIVER(3), DIVER(4) / 0, 0 /
C DATA LOG10(1), LOG10(2) / 16282, 8346 /
C DATA LOG10(3), LOG10(4) / -31493, -12296 /
C
C DATA SMALL(1), SMALL(2) / O000200, O000000 /
C DATA SMALL(3), SMALL(4) / O000000, O000000 /
C DATA LARGE(1), LARGE(2) / O077777, O177777 /
C DATA LARGE(3), LARGE(4) / O177777, O177777 /
C DATA RIGHT(1), RIGHT(2) / O022200, O000000 /
C DATA RIGHT(3), RIGHT(4) / O000000, O000000 /
C DATA DIVER(1), DIVER(2) / O022400, O000000 /
C DATA DIVER(3), DIVER(4) / O000000, O000000 /
C DATA LOG10(1), LOG10(2) / O037632, O020232 /
C DATA LOG10(3), LOG10(4) / O102373, O147770 /
C
C MACHINE CONSTANTS FOR THE SILICON GRAPHICS IRIS
C
c data dmach(1) / 2.22507 38585 072012 d-308 /
c data dmach(2) / 1.79769 31348 623158 d+308 /
c data dmach(3) / 2.22044 60492 503131 d-16 /
c data dmach(4) / 4.44089 20985 006262 d-16 /
c data dmach(5) / 0.30102 99956 639812 /
C
C DATA SMALL(1), SMALL(2) / Z'00100000',Z'00000000' /
C DATA LARGE(1), LARGE(2) / Z'7FEFFFFF',Z'FFFFFFFF' /
C DATA RIGHT(1), RIGHT(2) / Z'3CB00000',Z'00000000' /
C DATA DIVER(1), DIVER(2) / Z'3CC00000',Z'00000000' /
C DATA LOG10(1), LOG10(2) / Z'3FD34413',Z'509F79FF' /
C
C MACHINE CONSTANTS FOR THE SUN
C
C from SLATEC CML committee - work for Sun3, Sun4, and Sparc
C
C DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' /
C DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' /
C DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' /
C DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' /
C DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' /
C
C from Sun Microsystems - work for Sun 386i
C
C DATA SMALL(1), SMALL(2) / Z'00000000', Z'00100000' /
C DATA LARGE(1), LARGE(2) / Z'FFFFFFFF', Z'7FEFFFFF' /
C DATA RIGHT(1), RIGHT(2) / Z'00000000', Z'3CA00000' /
C DATA DIVER(1), DIVER(2) / Z'00000000', Z'3CB00000' /
C DATA LOG10(1), LOG10(2) / Z'509F79FF', Z'3FD34413' /
C
C MACHINE CONSTANTS FOR THE UNIVAC 1100 SERIES FTN COMPILER
C
C DATA SMALL(1), SMALL(2) / O000040000000, O000000000000 /
C DATA LARGE(1), LARGE(2) / O377777777777, O777777777777 /
C DATA RIGHT(1), RIGHT(2) / O170540000000, O000000000000 /
C DATA DIVER(1), DIVER(2) / O170640000000, O000000000000 /
C DATA LOG10(1), LOG10(2) / O177746420232, O411757177572 /
C
C MACHINE CONSTANTS FOR VAX 11/780
C (EXPRESSED IN INTEGER AND HEXADECIMAL)
C THE HEX FORMAT BELOW MAY NOT BE SUITABLE FOR UNIX SYSYEMS
C THE INTEGER FORMAT SHOULD BE OK FOR UNIX SYSTEMS
C
C DATA SMALL(1), SMALL(2) / 128, 0 /
C DATA LARGE(1), LARGE(2) / -32769, -1 /
C DATA RIGHT(1), RIGHT(2) / 9344, 0 /
C DATA DIVER(1), DIVER(2) / 9472, 0 /
C DATA LOG10(1), LOG10(2) / 546979738, -805796613 /
C
C DATA SMALL(1), SMALL(2) / Z00000080, Z00000000 /
C DATA LARGE(1), LARGE(2) / ZFFFF7FFF, ZFFFFFFFF /
C DATA RIGHT(1), RIGHT(2) / Z00002480, Z00000000 /
C DATA DIVER(1), DIVER(2) / Z00002500, Z00000000 /
C DATA LOG10(1), LOG10(2) / Z209A3F9A, ZCFF884FB /
C
C MACHINE CONSTANTS FOR VAX 11/780 (G-FLOATING)
C (EXPRESSED IN INTEGER AND HEXADECIMAL)
C THE HEX FORMAT BELOW MAY NOT BE SUITABLE FOR UNIX SYSYEMS
C THE INTEGER FORMAT SHOULD BE OK FOR UNIX SYSTEMS
C
C DATA SMALL(1), SMALL(2) / 16, 0 /
C DATA LARGE(1), LARGE(2) / -32769, -1 /
C DATA RIGHT(1), RIGHT(2) / 15552, 0 /
C DATA DIVER(1), DIVER(2) / 15568, 0 /
C DATA LOG10(1), LOG10(2) / 1142112243, 2046775455 /
C
C DATA SMALL(1), SMALL(2) / Z00000010, Z00000000 /
C DATA LARGE(1), LARGE(2) / ZFFFF7FFF, ZFFFFFFFF /
C DATA RIGHT(1), RIGHT(2) / Z00003CC0, Z00000000 /
C DATA DIVER(1), DIVER(2) / Z00003CD0, Z00000000 /
C DATA LOG10(1), LOG10(2) / Z44133FF3, Z79FF509F /
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