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Diffstat (limited to 'unix/hlib/d1mach.f')
-rw-r--r-- | unix/hlib/d1mach.f | 463 |
1 files changed, 463 insertions, 0 deletions
diff --git a/unix/hlib/d1mach.f b/unix/hlib/d1mach.f new file mode 100644 index 00000000..ccecd107 --- /dev/null +++ b/unix/hlib/d1mach.f @@ -0,0 +1,463 @@ + 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 |