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DOUBLE PRECISION FUNCTION D1MACH(I)
C
C DOUBLE-PRECISION MACHINE CONSTANTS
C
C D1MACH( 1) = B**(EMIN-1), THE SMALLEST POSITIVE MAGNITUDE.
C
C D1MACH( 2) = B**EMAX*(1 - B**(-T)), THE LARGEST MAGNITUDE.
C
C D1MACH( 3) = B**(-T), THE SMALLEST RELATIVE SPACING.
C
C D1MACH( 4) = B**(1-T), THE LARGEST RELATIVE SPACING.
C
C D1MACH( 5) = LOG10(B)
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.
C ON RARE MACHINES A STATIC STATEMENT MAY NEED TO BE ADDED.
C (BUT PROBABLY MORE SYSTEMS PROHIBIT IT THAN REQUIRE IT.)
C
C FOR IEEE-ARITHMETIC MACHINES (BINARY STANDARD), ONE OF THE FIRST
C TWO SETS OF CONSTANTS BELOW SHOULD BE APPROPRIATE. IF YOU DO NOT
C KNOW WHICH SET TO USE, TRY BOTH AND SEE WHICH GIVES PLAUSIBLE
C VALUES.
C
C WHERE POSSIBLE, DECIMAL, OCTAL OR HEXADECIMAL CONSTANTS ARE USED
C TO SPECIFY THE CONSTANTS EXACTLY. SOMETIMES THIS REQUIRES USING
C EQUIVALENT INTEGER ARRAYS. IF YOUR COMPILER USES HALF-WORD
C INTEGERS BY DEFAULT (SOMETIMES CALLED INTEGER*2), YOU MAY NEED TO
C CHANGE INTEGER TO INTEGER*4 OR OTHERWISE INSTRUCT YOUR COMPILER
C TO USE FULL-WORD INTEGERS IN THE NEXT 5 DECLARATIONS.
C
C COMMENTS JUST BEFORE THE END STATEMENT (LINES STARTING WITH *)
C GIVE C SOURCE FOR D1MACH.
C
INTEGER SMALL(2)
INTEGER LARGE(2)
INTEGER RIGHT(2)
INTEGER DIVER(2)
INTEGER LOG10(2)
INTEGER I
C/6S
C/7S
SAVE SMALL, LARGE, RIGHT, DIVER, LOG10
C/
DOUBLE PRECISION DMACH(5)
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 BIG-ENDIAN IEEE ARITHMETIC (BINARY FORMAT)
C MACHINES IN WHICH THE MOST SIGNIFICANT BYTE IS STORED FIRST,
C SUCH AS THE AT&T 3B SERIES, MOTOROLA 68000 BASED MACHINES (E.G.
C SUN 3), AND MACHINES THAT USE SPARC, HP, OR IBM RISC CHIPS.
C
C DATA SMALL(1),SMALL(2) / 1048576, 0 /
C DATA LARGE(1),LARGE(2) / 2146435071, -1 /
C DATA RIGHT(1),RIGHT(2) / 1017118720, 0 /
C DATA DIVER(1),DIVER(2) / 1018167296, 0 /
C DATA LOG10(1),LOG10(2) / 1070810131, 1352628735 /
C
C MACHINE CONSTANTS FOR LITTLE-ENDIAN (BINARY) IEEE ARITHMETIC
C MACHINES IN WHICH THE LEAST SIGNIFICANT BYTE IS STORED FIRST,
C E.G. IBM PCS AND OTHER MACHINES THAT USE INTEL 80X87 OR DEC
C ALPHA CHIPS.
C
DATA SMALL(1),SMALL(2) / 0, 1048576 /
DATA LARGE(1),LARGE(2) / -1, 2146435071 /
DATA RIGHT(1),RIGHT(2) / 0, 1017118720 /
DATA DIVER(1),DIVER(2) / 0, 1018167296 /
DATA LOG10(1),LOG10(2) / 1352628735, 1070810131 /
C
C MACHINE CONSTANTS FOR AMDAHL MACHINES.
C
C DATA SMALL(1),SMALL(2) / 1048576, 0 /
C DATA LARGE(1),LARGE(2) / 2147483647, -1 /
C DATA RIGHT(1),RIGHT(2) / 856686592, 0 /
C DATA DIVER(1),DIVER(2) / 873463808, 0 /
C DATA LOG10(1),LOG10(2) / 1091781651, 1352628735 /, SC/987/
C
C MACHINE CONSTANTS FOR THE BURROUGHS 1700 SYSTEM.
C
C DATA SMALL(1) / ZC00800000 /
C DATA SMALL(2) / Z000000000 /
C
C DATA LARGE(1) / ZDFFFFFFFF /
C DATA LARGE(2) / ZFFFFFFFFF /
C
C DATA RIGHT(1) / ZCC5800000 /
C DATA RIGHT(2) / Z000000000 /
C
C DATA DIVER(1) / ZCC6800000 /
C DATA DIVER(2) / Z000000000 /
C
C DATA LOG10(1) / ZD00E730E7 /
C DATA LOG10(2) / ZC77800DC0 /, SC/987/
C
C MACHINE CONSTANTS FOR THE BURROUGHS 5700 SYSTEM.
C
C DATA SMALL(1) / O1771000000000000 /
C DATA SMALL(2) / O0000000000000000 /
C
C DATA LARGE(1) / O0777777777777777 /
C DATA LARGE(2) / O0007777777777777 /
C
C DATA RIGHT(1) / O1461000000000000 /
C DATA RIGHT(2) / O0000000000000000 /
C
C DATA DIVER(1) / O1451000000000000 /
C DATA DIVER(2) / O0000000000000000 /
C
C DATA LOG10(1) / O1157163034761674 /
C DATA LOG10(2) / O0006677466732724 /, SC/987/
C
C MACHINE CONSTANTS FOR THE BURROUGHS 6700/7700 SYSTEMS.
C
C DATA SMALL(1) / O1771000000000000 /
C DATA SMALL(2) / O7770000000000000 /
C
C DATA LARGE(1) / O0777777777777777 /
C DATA LARGE(2) / O7777777777777777 /
C
C DATA RIGHT(1) / O1461000000000000 /
C DATA RIGHT(2) / O0000000000000000 /
C
C DATA DIVER(1) / O1451000000000000 /
C DATA DIVER(2) / O0000000000000000 /
C
C DATA LOG10(1) / O1157163034761674 /
C DATA LOG10(2) / O0006677466732724 /, SC/987/
C
C MACHINE CONSTANTS FOR FTN4 ON THE CDC 6000/7000 SERIES.
C
C DATA SMALL(1) / 00564000000000000000B /
C DATA SMALL(2) / 00000000000000000000B /
C
C DATA LARGE(1) / 37757777777777777777B /
C DATA LARGE(2) / 37157777777777777774B /
C
C DATA RIGHT(1) / 15624000000000000000B /
C DATA RIGHT(2) / 00000000000000000000B /
C
C DATA DIVER(1) / 15634000000000000000B /
C DATA DIVER(2) / 00000000000000000000B /
C
C DATA LOG10(1) / 17164642023241175717B /
C DATA LOG10(2) / 16367571421742254654B /, SC/987/
C
C MACHINE CONSTANTS FOR FTN5 ON THE CDC 6000/7000 SERIES.
C
C DATA SMALL(1) / O"00564000000000000000" /
C DATA SMALL(2) / O"00000000000000000000" /
C
C DATA LARGE(1) / O"37757777777777777777" /
C DATA LARGE(2) / O"37157777777777777774" /
C
C DATA RIGHT(1) / O"15624000000000000000" /
C DATA RIGHT(2) / O"00000000000000000000" /
C
C DATA DIVER(1) / O"15634000000000000000" /
C DATA DIVER(2) / O"00000000000000000000" /
C
C DATA LOG10(1) / O"17164642023241175717" /
C DATA LOG10(2) / O"16367571421742254654" /, SC/987/
C
C MACHINE CONSTANTS FOR 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 /, SC/987/
C
C MACHINE CONSTANTS FOR THE CRAY 1, XMP, 2, AND 3.
C
C DATA SMALL(1) / 201354000000000000000B /
C DATA SMALL(2) / 000000000000000000000B /
C
C DATA LARGE(1) / 577767777777777777777B /
C DATA LARGE(2) / 000007777777777777776B /
C
C DATA RIGHT(1) / 376434000000000000000B /
C DATA RIGHT(2) / 000000000000000000000B /
C
C DATA DIVER(1) / 376444000000000000000B /
C DATA DIVER(2) / 000000000000000000000B /
C
C DATA LOG10(1) / 377774642023241175717B /
C DATA LOG10(2) / 000007571421742254654B /, SC/987/
C
C MACHINE CONSTANTS FOR THE DATA GENERAL ECLIPSE S/200
C
C SMALL, LARGE, RIGHT, DIVER, LOG10 SHOULD BE DECLARED
C INTEGER SMALL(4), LARGE(4), RIGHT(4), DIVER(4), LOG10(4)
C
C NOTE - IT MAY BE APPROPRIATE TO INCLUDE THE FOLLOWING LINE -
C STATIC DMACH(5)
C
C DATA SMALL/20K,3*0/,LARGE/77777K,3*177777K/
C DATA RIGHT/31420K,3*0/,DIVER/32020K,3*0/
C DATA LOG10/40423K,42023K,50237K,74776K/, SC/987/
C
C MACHINE CONSTANTS FOR THE HARRIS SLASH 6 AND SLASH 7
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 /, SC/987/
C
C MACHINE CONSTANTS FOR THE HONEYWELL DPS 8/70 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 /, SC/987/
C
C MACHINE CONSTANTS FOR THE IBM 360/370 SERIES,
C THE XEROX SIGMA 5/7/9 AND THE SEL SYSTEMS 85/86.
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 /, SC/987/
C
C MACHINE CONSTANTS FOR THE INTERDATA 8/32
C WITH THE UNIX SYSTEM FORTRAN 77 COMPILER.
C
C FOR THE INTERDATA FORTRAN VII COMPILER REPLACE
C THE Z'S SPECIFYING HEX CONSTANTS WITH Y'S.
C
C DATA SMALL(1),SMALL(2) / Z'00100000', Z'00000000' /
C DATA LARGE(1),LARGE(2) / Z'7EFFFFFF', Z'FFFFFFFF' /
C DATA RIGHT(1),RIGHT(2) / Z'33100000', Z'00000000' /
C DATA DIVER(1),DIVER(2) / Z'34100000', Z'00000000' /
C DATA LOG10(1),LOG10(2) / Z'41134413', Z'509F79FF' /, SC/987/
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 /, SC/987/
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, "047674776746 /, SC/987/
C
C MACHINE CONSTANTS FOR PDP-11 FORTRANS 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 /, SC/987/
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 /, SC/987/
C
C MACHINE CONSTANTS FOR PDP-11 FORTRANS SUPPORTING
C 16-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL).
C
C SMALL, LARGE, RIGHT, DIVER, LOG10 SHOULD BE DECLARED
C INTEGER SMALL(4), LARGE(4), RIGHT(4), DIVER(4), LOG10(4)
C
C DATA SMALL(1),SMALL(2) / 128, 0 /
C DATA SMALL(3),SMALL(4) / 0, 0 /
C
C DATA LARGE(1),LARGE(2) / 32767, -1 /
C DATA LARGE(3),LARGE(4) / -1, -1 /
C
C DATA RIGHT(1),RIGHT(2) / 9344, 0 /
C DATA RIGHT(3),RIGHT(4) / 0, 0 /
C
C DATA DIVER(1),DIVER(2) / 9472, 0 /
C DATA DIVER(3),DIVER(4) / 0, 0 /
C
C DATA LOG10(1),LOG10(2) / 16282, 8346 /
C DATA LOG10(3),LOG10(4) / -31493, -12296 /, SC/987/
C
C DATA SMALL(1),SMALL(2) / O000200, O000000 /
C DATA SMALL(3),SMALL(4) / O000000, O000000 /
C
C DATA LARGE(1),LARGE(2) / O077777, O177777 /
C DATA LARGE(3),LARGE(4) / O177777, O177777 /
C
C DATA RIGHT(1),RIGHT(2) / O022200, O000000 /
C DATA RIGHT(3),RIGHT(4) / O000000, O000000 /
C
C DATA DIVER(1),DIVER(2) / O022400, O000000 /
C DATA DIVER(3),DIVER(4) / O000000, O000000 /
C
C DATA LOG10(1),LOG10(2) / O037632, O020232 /
C DATA LOG10(3),LOG10(4) / O102373, O147770 /, SC/987/
C
C MACHINE CONSTANTS FOR THE PRIME 50 SERIES SYSTEMS
C WITH 32-BIT INTEGERS AND 64V MODE INSTRUCTIONS,
C SUPPLIED BY IGOR BRAY.
C
C DATA SMALL(1),SMALL(2) / :10000000000, :00000100001 /
C DATA LARGE(1),LARGE(2) / :17777777777, :37777677775 /
C DATA RIGHT(1),RIGHT(2) / :10000000000, :00000000122 /
C DATA DIVER(1),DIVER(2) / :10000000000, :00000000123 /
C DATA LOG10(1),LOG10(2) / :11504046501, :07674600177 /, SC/987/
C
C MACHINE CONSTANTS FOR THE SEQUENT BALANCE 8000
C
C DATA SMALL(1),SMALL(2) / $00000000, $00100000 /
C DATA LARGE(1),LARGE(2) / $FFFFFFFF, $7FEFFFFF /
C DATA RIGHT(1),RIGHT(2) / $00000000, $3CA00000 /
C DATA DIVER(1),DIVER(2) / $00000000, $3CB00000 /
C DATA LOG10(1),LOG10(2) / $509F79FF, $3FD34413 /, SC/987/
C
C MACHINE CONSTANTS FOR THE UNIVAC 1100 SERIES.
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 /, SC/987/
C
C MACHINE CONSTANTS FOR THE VAX UNIX F77 COMPILER
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 /, SC/987/
C
C MACHINE CONSTANTS FOR THE VAX-11 WITH
C FORTRAN IV-PLUS COMPILER
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 /, SC/987/
C
C MACHINE CONSTANTS FOR VAX/VMS VERSION 2.2
C
C DATA SMALL(1),SMALL(2) / '80'X, '0'X /
C DATA LARGE(1),LARGE(2) / 'FFFF7FFF'X, 'FFFFFFFF'X /
C DATA RIGHT(1),RIGHT(2) / '2480'X, '0'X /
C DATA DIVER(1),DIVER(2) / '2500'X, '0'X /
C DATA LOG10(1),LOG10(2) / '209A3F9A'X, 'CFF884FB'X /, SC/987/
C
C *** ISSUE STOP 779 IF ALL DATA STATEMENTS ARE COMMENTED...
C IF (SC .NE. 987) THEN
C DMACH(1) = 1.D13
C IF ( SMALL(1) .EQ. 1117925532
C * .AND. SMALL(2) .EQ. -448790528) THEN
C* *** IEEE BIG ENDIAN ***
C SMALL(1) = 1048576
C SMALL(2) = 0
C LARGE(1) = 2146435071
C LARGE(2) = -1
C RIGHT(1) = 1017118720
C RIGHT(2) = 0
C DIVER(1) = 1018167296
C DIVER(2) = 0
C LOG10(1) = 1070810131
C LOG10(2) = 1352628735
C ELSE IF ( SMALL(2) .EQ. 1117925532
C * .AND. SMALL(1) .EQ. -448790528) THEN
C* *** IEEE LITTLE ENDIAN ***
C SMALL(2) = 1048576
C SMALL(1) = 0
C LARGE(2) = 2146435071
C LARGE(1) = -1
C RIGHT(2) = 1017118720
C RIGHT(1) = 0
C DIVER(2) = 1018167296
C DIVER(1) = 0
C LOG10(2) = 1070810131
C LOG10(1) = 1352628735
C ELSE IF ( SMALL(1) .EQ. -2065213935
C * .AND. SMALL(2) .EQ. 10752) THEN
C* *** VAX WITH D_FLOATING ***
C SMALL(1) = 128
C SMALL(2) = 0
C LARGE(1) = -32769
C LARGE(2) = -1
C RIGHT(1) = 9344
C RIGHT(2) = 0
C DIVER(1) = 9472
C DIVER(2) = 0
C LOG10(1) = 546979738
C LOG10(2) = -805796613
C ELSE IF ( SMALL(1) .EQ. 1267827943
C * .AND. SMALL(2) .EQ. 704643072) THEN
C* *** IBM MAINFRAME ***
C SMALL(1) = 1048576
C SMALL(2) = 0
C LARGE(1) = 2147483647
C LARGE(2) = -1
C RIGHT(1) = 856686592
C RIGHT(2) = 0
C DIVER(1) = 873463808
C DIVER(2) = 0
C LOG10(1) = 1091781651
C LOG10(2) = 1352628735
C ELSE
C WRITE(*,*)'Adjust D1MACH by uncommenting'
C WRITE(*,*)'data statements appropriate for your machine.'
C STOP 779
C END IF
C SC = 987
C END IF
C
C *** ISSUE STOP 778 IF ALL DATA STATEMENTS ARE OBVIOUSLY WRONG...
C IF (DMACH(4) .GE. 1.0D0) STOP 778
C*C/6S
C*C IF (I .LT. 1 .OR. I .GT. 5)
C*C 1 CALL SETERR(24HD1MACH - I OUT OF BOUNDS,24,1,2)
C*C/7S
C* IF (I .LT. 1 .OR. I .GT. 5)
C* 1 CALL SETERR('D1MACH - I OUT OF BOUNDS',24,1,2)
C*C/
C IF (I .LT. 1 .OR. I .GT. 5) THEN
C WRITE(*,*) 'D1MACH(I): I =',I,' is out of bounds.'
C STOP
C END IF
IF (I .LT. 1 .OR. I .GT. 5) THEN
D1MACH = 0.0
RETURN
END IF
D1MACH = DMACH(I)
RETURN
C
C* /* C source for D1MACH -- remove the * in column 1 */
C*#include <stdio.h>
C*#include <float.h>
C*#include <math.h>
C*
C*double d1mach_(long *i)
C*{
C* switch(*i){
C* case 1: return DBL_MIN;
C* case 2: return DBL_MAX;
C* case 3: return DBL_EPSILON/FLT_RADIX;
C* case 4: return DBL_EPSILON;
C* case 5: return log10(FLT_RADIX);
C* }
C*
C* fprintf(stderr, "invalid argument: d1mach(%ld)\n", *i);
C* exit(1);
C* return 0; /* for compilers that complain of missing return values */
C* }
END
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