mirror of https://gitlab.com/QEF/q-e.git
430 lines
16 KiB
Fortran
430 lines
16 KiB
Fortran
C
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C Version by w.g.bardsley, university of manchester, u.k., 26/10/98
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C =================================================================
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C
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DOUBLE PRECISION FUNCTION D1MACH(I)
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C=====================================================
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INTEGER I
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IF (I.EQ.1) THEN
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D1MACH = 2.2250739D-308
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ELSEIF (I.EQ.2) THEN
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D1MACH = 1.7976931D+308
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ELSEIF (I.EQ.3) THEN
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D1MACH = 1.1102230D-16
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ELSEIF (I.EQ.4) THEN
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D1MACH = 2.220446D-16
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ELSEIF (I.EQ.5) THEN
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D1MACH = 0.301029995663981195D+00
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ELSE
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D1MACH = 0.0D+00
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ENDIF
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RETURN
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C=====================================================
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C***BEGIN PROLOGUE D1MACH
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C***DATE WRITTEN 750101 (YYMMDD)
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C***REVISION DATE 890213 (YYMMDD)
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C***CATEGORY NO. R1
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C***KEYWORDS LIBRARY=SLATEC,TYPE=DOUBLE PRECISION(R1MACH-S D1MACH-D),
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C MACHINE CONSTANTS
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C***AUTHOR FOX, P. A., (BELL LABS)
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C HALL, A. D., (BELL LABS)
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C SCHRYER, N. L., (BELL LABS)
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C***PURPOSE RETURNS DOUBLE PRECISION MACHINE DEPENDENT CONSTANTS
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C***DESCRIPTION
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C
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C D1MACH CAN BE USED TO OBTAIN MACHINE-DEPENDENT PARAMETERS
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C FOR THE LOCAL MACHINE ENVIRONMENT. IT IS A FUNCTION
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C SUBPROGRAM WITH ONE (INPUT) ARGUMENT, AND CAN BE CALLED
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C AS FOLLOWS, FOR EXAMPLE
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C
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C D = D1MACH(I)
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C
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C WHERE I=1,...,5. THE (OUTPUT) VALUE OF D ABOVE IS
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C DETERMINED BY THE (INPUT) VALUE OF I. THE RESULTS FOR
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C VARIOUS VALUES OF I ARE DISCUSSED BELOW.
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C
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C D1MACH( 1) = B**(EMIN-1), THE SMALLEST POSITIVE MAGNITUDE.
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C D1MACH( 2) = B**EMAX*(1 - B**(-T)), THE LARGEST MAGNITUDE.
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C D1MACH( 3) = B**(-T), THE SMALLEST RELATIVE SPACING.
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C D1MACH( 4) = B**(1-T), THE LARGEST RELATIVE SPACING.
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C D1MACH( 5) = LOG10(B)
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C
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C ASSUME DOUBLE PRECISION NUMBERS ARE REPRESENTED IN THE T-DIGIT,
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C BASE-B FORM
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C
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C SIGN (B**E)*( (X(1)/B) + ... + (X(T)/B**T) )
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C
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C WHERE 0 .LE. X(I) .LT. B FOR I=1,...,T, 0 .LT. X(1), AND
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C EMIN .LE. E .LE. EMAX.
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C
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C THE VALUES OF B, T, EMIN AND EMAX ARE PROVIDED IN I1MACH AS
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C FOLLOWS:
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C I1MACH(10) = B, THE BASE.
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C I1MACH(14) = T, THE NUMBER OF BASE-B DIGITS.
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C I1MACH(15) = EMIN, THE SMALLEST EXPONENT E.
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C I1MACH(16) = EMAX, THE LARGEST EXPONENT E.
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C
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C TO ALTER THIS FUNCTION FOR A PARTICULAR ENVIRONMENT,
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C THE DESIRED SET OF DATA STATEMENTS SHOULD BE ACTIVATED BY
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C REMOVING THE C FROM COLUMN 1. ALSO, THE VALUES OF
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C D1MACH(1) - D1MACH(4) SHOULD BE CHECKED FOR CONSISTENCY
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C WITH THE LOCAL OPERATING SYSTEM.
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C
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C***REFERENCES FOX P.A., HALL A.D., SCHRYER N.L.,*FRAMEWORK FOR A
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C PORTABLE LIBRARY*, ACM TRANSACTIONS ON MATHEMATICAL
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C SOFTWARE, VOL. 4, NO. 2, JUNE 1978, PP. 177-188.
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C***ROUTINES CALLED XERROR
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C
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C THE CALL TO XERROR HAS BEEN COMMENTED TO GET A STAND ALONE ROUTINE
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C IT CAN BE ADAPTED TO FIT THE LOCAL ERROR HANDLING PROCEDURES
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C NOTE ADDED BY F. ROMANI 7/11/89
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C
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C***END PROLOGUE D1MACH
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C
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C INTEGER SMALL(4)
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C INTEGER LARGE(4)
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C INTEGER RIGHT(4)
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C INTEGER DIVER(4)
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C INTEGER LOG10(4)
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C
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C DOUBLE PRECISION DMACH(5)
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C SAVE DMACH
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C
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C EQUIVALENCE (DMACH(1),SMALL(1))
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C EQUIVALENCE (DMACH(2),LARGE(1))
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C EQUIVALENCE (DMACH(3),RIGHT(1))
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C EQUIVALENCE (DMACH(4),DIVER(1))
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C EQUIVALENCE (DMACH(5),LOG10(1))
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C
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C MACHINE CONSTANTS FOR THE AMIGA
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C ABSOFT FORTRAN COMPILER USING THE 68020/68881 COMPILER OPTION
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C
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C DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' /
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C DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' /
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C DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' /
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C DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' /
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C DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' /
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C
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C MACHINE CONSTANTS FOR THE AMIGA
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C ABSOFT FORTRAN COMPILER USING SOFTWARE FLOATING POINT
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C
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C DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' /
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C DATA LARGE(1), LARGE(2) / Z'7FDFFFFF', Z'FFFFFFFF' /
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C DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' /
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C DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' /
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C DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' /
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C
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C MACHINE CONSTANTS FOR THE APOLLO
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C
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C DATA SMALL(1), SMALL(2) / 16#00100000, 16#00000000 /
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C DATA LARGE(1), LARGE(2) / 16#7FFFFFFF, 16#FFFFFFFF /
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C DATA RIGHT(1), RIGHT(2) / 16#3CA00000, 16#00000000 /
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C DATA DIVER(1), DIVER(2) / 16#3CB00000, 16#00000000 /
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C DATA LOG10(1), LOG10(2) / 16#3FD34413, 16#509F79FF /
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C
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C MACHINE CONSTANTS FOR THE BURROUGHS 1700 SYSTEM
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C
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C DATA SMALL(1) / ZC00800000 /
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C DATA SMALL(2) / Z000000000 /
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C DATA LARGE(1) / ZDFFFFFFFF /
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C DATA LARGE(2) / ZFFFFFFFFF /
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C DATA RIGHT(1) / ZCC5800000 /
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C DATA RIGHT(2) / Z000000000 /
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C DATA DIVER(1) / ZCC6800000 /
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C DATA DIVER(2) / Z000000000 /
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C DATA LOG10(1) / ZD00E730E7 /
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C DATA LOG10(2) / ZC77800DC0 /
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C
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C MACHINE CONSTANTS FOR THE BURROUGHS 5700 SYSTEM
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C
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C DATA SMALL(1) / O1771000000000000 /
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C DATA SMALL(2) / O0000000000000000 /
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C DATA LARGE(1) / O0777777777777777 /
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C DATA LARGE(2) / O0007777777777777 /
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C DATA RIGHT(1) / O1461000000000000 /
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C DATA RIGHT(2) / O0000000000000000 /
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C DATA DIVER(1) / O1451000000000000 /
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C DATA DIVER(2) / O0000000000000000 /
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C DATA LOG10(1) / O1157163034761674 /
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C DATA LOG10(2) / O0006677466732724 /
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C
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C MACHINE CONSTANTS FOR THE BURROUGHS 6700/7700 SYSTEMS
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C
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C DATA SMALL(1) / O1771000000000000 /
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C DATA SMALL(2) / O7770000000000000 /
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C DATA LARGE(1) / O0777777777777777 /
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C DATA LARGE(2) / O7777777777777777 /
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C DATA RIGHT(1) / O1461000000000000 /
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C DATA RIGHT(2) / O0000000000000000 /
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C DATA DIVER(1) / O1451000000000000 /
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C DATA DIVER(2) / O0000000000000000 /
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C DATA LOG10(1) / O1157163034761674 /
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C DATA LOG10(2) / O0006677466732724 /
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C
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C MACHINE CONSTANTS FOR THE CDC 170/180 SERIES USING NOS/VE
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C
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C DATA SMALL(1) / Z"3001800000000000" /
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C DATA SMALL(2) / Z"3001000000000000" /
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C DATA LARGE(1) / Z"4FFEFFFFFFFFFFFE" /
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C DATA LARGE(2) / Z"4FFE000000000000" /
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C DATA RIGHT(1) / Z"3FD2800000000000" /
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C DATA RIGHT(2) / Z"3FD2000000000000" /
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C DATA DIVER(1) / Z"3FD3800000000000" /
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C DATA DIVER(2) / Z"3FD3000000000000" /
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C DATA LOG10(1) / Z"3FFF9A209A84FBCF" /
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C DATA LOG10(2) / Z"3FFFF7988F8959AC" /
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C
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C MACHINE CONSTANTS FOR THE CDC 6000/7000 SERIES
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C
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C DATA SMALL(1) / 00564000000000000000B /
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C DATA SMALL(2) / 00000000000000000000B /
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C DATA LARGE(1) / 37757777777777777777B /
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C DATA LARGE(2) / 37157777777777777777B /
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C DATA RIGHT(1) / 15624000000000000000B /
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C DATA RIGHT(2) / 00000000000000000000B /
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C DATA DIVER(1) / 15634000000000000000B /
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C DATA DIVER(2) / 00000000000000000000B /
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C DATA LOG10(1) / 17164642023241175717B /
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C DATA LOG10(2) / 16367571421742254654B /
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C
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C MACHINE CONSTANTS FOR THE CELERITY C1260
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C
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C DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' /
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C DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' /
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C DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' /
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C DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' /
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C DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' /
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C
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C MACHINE CONSTANTS FOR THE CONVEX C-1
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C
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C DATA SMALL(1), SMALL(2) / '00100000'X,'00000000'X /
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C DATA LARGE(1), LARGE(2) / '7FFFFFFF'X,'FFFFFFFF'X /
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C DATA RIGHT(1), RIGHT(2) / '3CC00000'X,'00000000'X /
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C DATA DIVER(1), DIVER(2) / '3CD00000'X,'00000000'X /
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C DATA LOG10(1), LOG10(2) / '3FF34413'X,'509F79FF'X /
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C
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C MACHINE CONSTANTS FOR THE CRAY-1
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C
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C DATA SMALL(1) / 201354000000000000000B /
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C DATA SMALL(2) / 000000000000000000000B /
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C DATA LARGE(1) / 577767777777777777777B /
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C DATA LARGE(2) / 000007777777777777774B /
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C DATA RIGHT(1) / 376434000000000000000B /
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C DATA RIGHT(2) / 000000000000000000000B /
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C DATA DIVER(1) / 376444000000000000000B /
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C DATA DIVER(2) / 000000000000000000000B /
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C DATA LOG10(1) / 377774642023241175717B /
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C DATA LOG10(2) / 000007571421742254654B /
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C
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C MACHINE CONSTANTS FOR THE DATA GENERAL ECLIPSE S/200
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C
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C NOTE - IT MAY BE APPROPRIATE TO INCLUDE THE FOLLOWING CARD -
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C STATIC DMACH(5)
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C
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C DATA SMALL / 20K, 3*0 /
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C DATA LARGE / 77777K, 3*177777K /
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C DATA RIGHT / 31420K, 3*0 /
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C DATA DIVER / 32020K, 3*0 /
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C DATA LOG10 / 40423K, 42023K, 50237K, 74776K /
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C
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C MACHINE CONSTANTS FOR THE ELXSI 6400
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C (ASSUMING REAL*8 IS THE DEFAULT DOUBLE PRECISION)
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C
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C DATA SMALL(1), SMALL(2) / '00100000'X,'00000000'X /
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C DATA LARGE(1), LARGE(2) / '7FEFFFFF'X,'FFFFFFFF'X /
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C DATA RIGHT(1), RIGHT(2) / '3CB00000'X,'00000000'X /
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C DATA DIVER(1), DIVER(2) / '3CC00000'X,'00000000'X /
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C DATA LOG10(1), LOG10(2) / '3FD34413'X,'509F79FF'X /
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C
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C MACHINE CONSTANTS FOR THE HARRIS 220
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C
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C DATA SMALL(1), SMALL(2) / '20000000, '00000201 /
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C DATA LARGE(1), LARGE(2) / '37777777, '37777577 /
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C DATA RIGHT(1), RIGHT(2) / '20000000, '00000333 /
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C DATA DIVER(1), DIVER(2) / '20000000, '00000334 /
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C DATA LOG10(1), LOG10(2) / '23210115, '10237777 /
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C
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C MACHINE CONSTANTS FOR THE HONEYWELL 600/6000 SERIES
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C
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C DATA SMALL(1), SMALL(2) / O402400000000, O000000000000 /
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C DATA LARGE(1), LARGE(2) / O376777777777, O777777777777 /
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C DATA RIGHT(1), RIGHT(2) / O604400000000, O000000000000 /
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C DATA DIVER(1), DIVER(2) / O606400000000, O000000000000 /
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C DATA LOG10(1), LOG10(2) / O776464202324, O117571775714 /
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C
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C MACHINE CONSTANTS FOR THE HP 2100
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C THREE WORD DOUBLE PRECISION OPTION WITH FTN4
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C
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C DATA SMALL(1), SMALL(2), SMALL(3) / 40000B, 0, 1 /
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C DATA LARGE(1), LARGE(2), LARGE(3) / 77777B, 177777B, 177776B /
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C DATA RIGHT(1), RIGHT(2), RIGHT(3) / 40000B, 0, 265B /
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C DATA DIVER(1), DIVER(2), DIVER(3) / 40000B, 0, 276B /
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C DATA LOG10(1), LOG10(2), LOG10(3) / 46420B, 46502B, 77777B /
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C
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C MACHINE CONSTANTS FOR THE HP 2100
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C FOUR WORD DOUBLE PRECISION OPTION WITH FTN4
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C
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C DATA SMALL(1), SMALL(2) / 40000B, 0 /
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C DATA SMALL(3), SMALL(4) / 0, 1 /
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C DATA LARGE(1), LARGE(2) / 77777B, 177777B /
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C DATA LARGE(3), LARGE(4) / 177777B, 177776B /
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C DATA RIGHT(1), RIGHT(2) / 40000B, 0 /
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C DATA RIGHT(3), RIGHT(4) / 0, 225B /
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C DATA DIVER(1), DIVER(2) / 40000B, 0 /
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C DATA DIVER(3), DIVER(4) / 0, 227B /
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C DATA LOG10(1), LOG10(2) / 46420B, 46502B /
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C DATA LOG10(3), LOG10(4) / 76747B, 176377B /
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C
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C MACHINE CONSTANTS FOR THE HP 9000
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C
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C DATA SMALL(1), SMALL(2) / 00040000000B, 00000000000B /
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C DATA LARGE(1), LARGE(2) / 17737777777B, 37777777777B /
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C DATA RIGHT(1), RIGHT(2) / 07454000000B, 00000000000B /
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C DATA DIVER(1), DIVER(2) / 07460000000B, 00000000000B /
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C DATA LOG10(1), LOG10(2) / 07764642023B, 12047674777B /
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C
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C MACHINE CONSTANTS FOR THE IBM 360/370 SERIES,
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C THE XEROX SIGMA 5/7/9, THE SEL SYSTEMS 85/86, AND
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C THE PERKIN ELMER (INTERDATA) 7/32.
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C
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C DATA SMALL(1), SMALL(2) / Z00100000, Z00000000 /
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C DATA LARGE(1), LARGE(2) / Z7FFFFFFF, ZFFFFFFFF /
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C DATA RIGHT(1), RIGHT(2) / Z33100000, Z00000000 /
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C DATA DIVER(1), DIVER(2) / Z34100000, Z00000000 /
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C DATA LOG10(1), LOG10(2) / Z41134413, Z509F79FF /
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C
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C MACHINE CONSTANTS FOR THE IBM PC
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C ASSUMES THAT ALL ARITHMETIC IS DONE IN DOUBLE PRECISION
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C ON 8088, I.E., NOT IN 80 BIT FORM FOR THE 8087.
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C
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C DATA SMALL(1) / 2.23D-308 /
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C DATA LARGE(1) / 1.79D+308 /
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C DATA RIGHT(1) / 1.11D-16 /
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C DATA DIVER(1) / 2.22D-16 /
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C DATA LOG10(1) / 0.301029995663981195D0 /
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C
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C MACHINE CONSTANTS FOR THE PDP-10 (KA PROCESSOR)
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C
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C DATA SMALL(1), SMALL(2) / "033400000000, "000000000000 /
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C DATA LARGE(1), LARGE(2) / "377777777777, "344777777777 /
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C DATA RIGHT(1), RIGHT(2) / "113400000000, "000000000000 /
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C DATA DIVER(1), DIVER(2) / "114400000000, "000000000000 /
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C DATA LOG10(1), LOG10(2) / "177464202324, "144117571776 /
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C
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C MACHINE CONSTANTS FOR THE PDP-10 (KI PROCESSOR)
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C
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C DATA SMALL(1), SMALL(2) / "000400000000, "000000000000 /
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C DATA LARGE(1), LARGE(2) / "377777777777, "377777777777 /
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C DATA RIGHT(1), RIGHT(2) / "103400000000, "000000000000 /
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C DATA DIVER(1), DIVER(2) / "104400000000, "000000000000 /
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C DATA LOG10(1), LOG10(2) / "177464202324, "476747767461 /
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C
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C MACHINE CONSTANTS FOR PDP-11 FORTRAN SUPPORTING
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C 32-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL).
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C
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C DATA SMALL(1), SMALL(2) / 8388608, 0 /
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C DATA LARGE(1), LARGE(2) / 2147483647, -1 /
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C DATA RIGHT(1), RIGHT(2) / 612368384, 0 /
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C DATA DIVER(1), DIVER(2) / 620756992, 0 /
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C DATA LOG10(1), LOG10(2) / 1067065498, -2063872008 /
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C
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C DATA SMALL(1), SMALL(2) / O00040000000, O00000000000 /
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C DATA LARGE(1), LARGE(2) / O17777777777, O37777777777 /
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C DATA RIGHT(1), RIGHT(2) / O04440000000, O00000000000 /
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C DATA DIVER(1), DIVER(2) / O04500000000, O00000000000 /
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C DATA LOG10(1), LOG10(2) / O07746420232, O20476747770 /
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C
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C MACHINE CONSTANTS FOR PDP-11 FORTRAN SUPPORTING
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C 16-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL).
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C
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C DATA SMALL(1), SMALL(2) / 128, 0 /
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C DATA SMALL(3), SMALL(4) / 0, 0 /
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C DATA LARGE(1), LARGE(2) / 32767, -1 /
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C DATA LARGE(3), LARGE(4) / -1, -1 /
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C DATA RIGHT(1), RIGHT(2) / 9344, 0 /
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C DATA RIGHT(3), RIGHT(4) / 0, 0 /
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C DATA DIVER(1), DIVER(2) / 9472, 0 /
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C DATA DIVER(3), DIVER(4) / 0, 0 /
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C DATA LOG10(1), LOG10(2) / 16282, 8346 /
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C DATA LOG10(3), LOG10(4) / -31493, -12296 /
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C
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C DATA SMALL(1), SMALL(2) / O000200, O000000 /
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C DATA SMALL(3), SMALL(4) / O000000, O000000 /
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C DATA LARGE(1), LARGE(2) / O077777, O177777 /
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C DATA LARGE(3), LARGE(4) / O177777, O177777 /
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C DATA RIGHT(1), RIGHT(2) / O022200, O000000 /
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C DATA RIGHT(3), RIGHT(4) / O000000, O000000 /
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C DATA DIVER(1), DIVER(2) / O022400, O000000 /
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C DATA DIVER(3), DIVER(4) / O000000, O000000 /
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C DATA LOG10(1), LOG10(2) / O037632, O020232 /
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C DATA LOG10(3), LOG10(4) / O102373, O147770 /
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C
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C MACHINE CONSTANTS FOR THE SUN
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C
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C DATA SMALL(1), SMALL(2) / Z'00100000', Z'00000000' /
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C DATA LARGE(1), LARGE(2) / Z'7FEFFFFF', Z'FFFFFFFF' /
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C DATA RIGHT(1), RIGHT(2) / Z'3CA00000', Z'00000000' /
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C DATA DIVER(1), DIVER(2) / Z'3CB00000', Z'00000000' /
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C DATA LOG10(1), LOG10(2) / Z'3FD34413', Z'509F79FF' /
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C
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C MACHINE CONSTANTS FOR THE UNIVAC 1100 SERIES FTN COMPILER
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C
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C DATA SMALL(1), SMALL(2) / O000040000000, O000000000000 /
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C DATA LARGE(1), LARGE(2) / O377777777777, O777777777777 /
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C DATA RIGHT(1), RIGHT(2) / O170540000000, O000000000000 /
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C DATA DIVER(1), DIVER(2) / O170640000000, O000000000000 /
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C DATA LOG10(1), LOG10(2) / O177746420232, O411757177572 /
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C
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C MACHINE CONSTANTS FOR VAX 11/780
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C (EXPRESSED IN INTEGER AND HEXADECIMAL)
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C THE HEX FORMAT BELOW MAY NOT BE SUITABLE FOR UNIX SYSYEMS
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C THE INTEGER FORMAT SHOULD BE OK FOR UNIX SYSTEMS
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C
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C DATA SMALL(1), SMALL(2) / 128, 0 /
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C DATA LARGE(1), LARGE(2) / -32769, -1 /
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C DATA RIGHT(1), RIGHT(2) / 9344, 0 /
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C DATA DIVER(1), DIVER(2) / 9472, 0 /
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C DATA LOG10(1), LOG10(2) / 546979738, -805796613 /
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C
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C DATA SMALL(1), SMALL(2) / Z00000080, Z00000000 /
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C DATA LARGE(1), LARGE(2) / ZFFFF7FFF, ZFFFFFFFF /
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C DATA RIGHT(1), RIGHT(2) / Z00002480, Z00000000 /
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C DATA DIVER(1), DIVER(2) / Z00002500, Z00000000 /
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C DATA LOG10(1), LOG10(2) / Z209A3F9A, ZCFF884FB /
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C
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C MACHINE CONSTANTS FOR VAX 11/780 (G-FLOATING)
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C (EXPRESSED IN INTEGER AND HEXADECIMAL)
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C THE HEX FORMAT BELOW MAY NOT BE SUITABLE FOR UNIX SYSYEMS
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C THE INTEGER FORMAT SHOULD BE OK FOR UNIX SYSTEMS
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C
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C DATA SMALL(1), SMALL(2) / 16, 0 /
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C DATA LARGE(1), LARGE(2) / -32769, -1 /
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C DATA RIGHT(1), RIGHT(2) / 15552, 0 /
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C DATA DIVER(1), DIVER(2) / 15568, 0 /
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C DATA LOG10(1), LOG10(2) / 1142112243, 2046775455 /
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C
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C DATA SMALL(1), SMALL(2) / Z00000010, Z00000000 /
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C DATA LARGE(1), LARGE(2) / ZFFFF7FFF, ZFFFFFFFF /
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C DATA RIGHT(1), RIGHT(2) / Z00003CC0, Z00000000 /
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C DATA DIVER(1), DIVER(2) / Z00003CD0, Z00000000 /
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C DATA LOG10(1), LOG10(2) / Z44133FF3, Z79FF509F /
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C
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C
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C***FIRST EXECUTABLE STATEMENT D1MACH
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C
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C THE CALL TO XERROR HAS BEEN COMMENTED TO GET A STAND ALONE ROUTINE
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C IT CAN BE ADAPTED TO FIT THE LOCAL ERROR HANDLING PROCEDURES
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C NOTE ADDED BY F. ROMANI 7/11/89
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C
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C IF (I .LT. 1 .OR. I .GT. 5)
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C 1 CALL XERROR ('D1MACH -- I OUT OF BOUNDS', 25, 1, 2)
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C
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C D1MACH = DMACH(I)
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C RETURN
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C
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END
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C
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C
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