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DOUBLE PRECISION FUNCTION D1MACH(I) |
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C |
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C DOUBLE-PRECISION MACHINE CONSTANTS |
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C |
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C D1MACH( 1) = B**(EMIN-1), THE SMALLEST POSITIVE MAGNITUDE. |
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C |
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C D1MACH( 2) = B**EMAX*(1 - B**(-T)), THE LARGEST MAGNITUDE. |
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C |
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C D1MACH( 3) = B**(-T), THE SMALLEST RELATIVE SPACING. |
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C |
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C D1MACH( 4) = B**(1-T), THE LARGEST RELATIVE SPACING. |
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C |
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C D1MACH( 5) = LOG10(B) |
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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. |
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C ON RARE MACHINES A STATIC STATEMENT MAY NEED TO BE ADDED. |
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C (BUT PROBABLY MORE SYSTEMS PROHIBIT IT THAN REQUIRE IT.) |
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C |
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C FOR IEEE-ARITHMETIC MACHINES (BINARY STANDARD), ONE OF THE FIRST |
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C TWO SETS OF CONSTANTS BELOW SHOULD BE APPROPRIATE. IF YOU DO NOT |
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C KNOW WHICH SET TO USE, TRY BOTH AND SEE WHICH GIVES PLAUSIBLE |
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C VALUES. |
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C |
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C WHERE POSSIBLE, DECIMAL, OCTAL OR HEXADECIMAL CONSTANTS ARE USED |
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C TO SPECIFY THE CONSTANTS EXACTLY. SOMETIMES THIS REQUIRES USING |
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C EQUIVALENT INTEGER ARRAYS. IF YOUR COMPILER USES HALF-WORD |
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C INTEGERS BY DEFAULT (SOMETIMES CALLED INTEGER*2), YOU MAY NEED TO |
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C CHANGE INTEGER TO INTEGER*4 OR OTHERWISE INSTRUCT YOUR COMPILER |
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C TO USE FULL-WORD INTEGERS IN THE NEXT 5 DECLARATIONS. |
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C |
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C COMMENTS JUST BEFORE THE END STATEMENT (LINES STARTING WITH *) |
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C GIVE C SOURCE FOR D1MACH. |
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C |
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INTEGER SMALL(2) |
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INTEGER LARGE(2) |
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INTEGER RIGHT(2) |
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INTEGER DIVER(2) |
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INTEGER LOG10(2) |
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INTEGER SC |
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C |
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DOUBLE PRECISION DMACH(5) |
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C |
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EQUIVALENCE (DMACH(1),SMALL(1)) |
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EQUIVALENCE (DMACH(2),LARGE(1)) |
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EQUIVALENCE (DMACH(3),RIGHT(1)) |
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EQUIVALENCE (DMACH(4),DIVER(1)) |
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EQUIVALENCE (DMACH(5),LOG10(1)) |
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C |
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C MACHINE CONSTANTS FOR BIG-ENDIAN IEEE ARITHMETIC (BINARY FORMAT) |
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C MACHINES IN WHICH THE MOST SIGNIFICANT BYTE IS STORED FIRST, |
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C SUCH AS THE AT&T 3B SERIES, MOTOROLA 68000 BASED MACHINES (E.G. |
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C SUN 3), AND MACHINES THAT USE SPARC, HP, OR IBM RISC CHIPS. |
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C |
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c DATA SMALL(1),SMALL(2) / 1048576, 0 / |
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c DATA LARGE(1),LARGE(2) / 2146435071, -1 / |
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c DATA RIGHT(1),RIGHT(2) / 1017118720, 0 / |
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c DATA DIVER(1),DIVER(2) / 1018167296, 0 / |
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c DATA LOG10(1),LOG10(2) / 1070810131, 1352628735 /, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR LITTLE-ENDIAN (BINARY) IEEE ARITHMETIC |
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C MACHINES IN WHICH THE LEAST SIGNIFICANT BYTE IS STORED FIRST, |
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C E.G. IBM PCS AND OTHER MACHINES THAT USE INTEL 80X87 OR DEC |
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C ALPHA CHIPS. |
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C |
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DATA SMALL(1),SMALL(2) / 0, 1048576 / |
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DATA LARGE(1),LARGE(2) / -1, 2146435071 / |
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DATA RIGHT(1),RIGHT(2) / 0, 1017118720 / |
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DATA DIVER(1),DIVER(2) / 0, 1018167296 / |
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DATA LOG10(1),LOG10(2) / 1352628735, 1070810131 /, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR AMDAHL MACHINES. |
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C |
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C DATA SMALL(1),SMALL(2) / 1048576, 0 / |
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C DATA LARGE(1),LARGE(2) / 2147483647, -1 / |
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C DATA RIGHT(1),RIGHT(2) / 856686592, 0 / |
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C DATA DIVER(1),DIVER(2) / 873463808, 0 / |
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C DATA LOG10(1),LOG10(2) / 1091781651, 1352628735 /, SC/987/ |
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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 |
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C DATA LARGE(1) / ZDFFFFFFFF / |
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C DATA LARGE(2) / ZFFFFFFFFF / |
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C |
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C DATA RIGHT(1) / ZCC5800000 / |
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C DATA RIGHT(2) / Z000000000 / |
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C |
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C DATA DIVER(1) / ZCC6800000 / |
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C DATA DIVER(2) / Z000000000 / |
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C |
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C DATA LOG10(1) / ZD00E730E7 / |
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C DATA LOG10(2) / ZC77800DC0 /, SC/987/ |
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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 |
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C DATA LARGE(1) / O0777777777777777 / |
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C DATA LARGE(2) / O0007777777777777 / |
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C |
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C DATA RIGHT(1) / O1461000000000000 / |
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C DATA RIGHT(2) / O0000000000000000 / |
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C |
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C DATA DIVER(1) / O1451000000000000 / |
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C DATA DIVER(2) / O0000000000000000 / |
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C |
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C DATA LOG10(1) / O1157163034761674 / |
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C DATA LOG10(2) / O0006677466732724 /, SC/987/ |
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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 |
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C DATA LARGE(1) / O0777777777777777 / |
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C DATA LARGE(2) / O7777777777777777 / |
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C |
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C DATA RIGHT(1) / O1461000000000000 / |
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C DATA RIGHT(2) / O0000000000000000 / |
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C |
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C DATA DIVER(1) / O1451000000000000 / |
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C DATA DIVER(2) / O0000000000000000 / |
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C |
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C DATA LOG10(1) / O1157163034761674 / |
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C DATA LOG10(2) / O0006677466732724 /, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR FTN4 ON 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 |
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C DATA LARGE(1) / 37757777777777777777B / |
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C DATA LARGE(2) / 37157777777777777774B / |
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C |
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C DATA RIGHT(1) / 15624000000000000000B / |
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C DATA RIGHT(2) / 00000000000000000000B / |
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C |
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C DATA DIVER(1) / 15634000000000000000B / |
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C DATA DIVER(2) / 00000000000000000000B / |
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C |
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C DATA LOG10(1) / 17164642023241175717B / |
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C DATA LOG10(2) / 16367571421742254654B /, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR FTN5 ON THE CDC 6000/7000 SERIES. |
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C |
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C DATA SMALL(1) / O"00564000000000000000" / |
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C DATA SMALL(2) / O"00000000000000000000" / |
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C |
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C DATA LARGE(1) / O"37757777777777777777" / |
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C DATA LARGE(2) / O"37157777777777777774" / |
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C |
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C DATA RIGHT(1) / O"15624000000000000000" / |
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C DATA RIGHT(2) / O"00000000000000000000" / |
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C |
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C DATA DIVER(1) / O"15634000000000000000" / |
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C DATA DIVER(2) / O"00000000000000000000" / |
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C |
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C DATA LOG10(1) / O"17164642023241175717" / |
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C DATA LOG10(2) / O"16367571421742254654" /, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR 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 /, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR THE CRAY 1, XMP, 2, AND 3. |
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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 |
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C DATA LARGE(1) / 577767777777777777777B / |
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C DATA LARGE(2) / 000007777777777777776B / |
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C |
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C DATA RIGHT(1) / 376434000000000000000B / |
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C DATA RIGHT(2) / 000000000000000000000B / |
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C |
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C DATA DIVER(1) / 376444000000000000000B / |
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C DATA DIVER(2) / 000000000000000000000B / |
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C |
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C DATA LOG10(1) / 377774642023241175717B / |
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C DATA LOG10(2) / 000007571421742254654B /, SC/987/ |
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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 SMALL, LARGE, RIGHT, DIVER, LOG10 SHOULD BE DECLARED |
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C INTEGER SMALL(4), LARGE(4), RIGHT(4), DIVER(4), LOG10(4) |
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C |
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C NOTE - IT MAY BE APPROPRIATE TO INCLUDE THE FOLLOWING LINE - |
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C STATIC DMACH(5) |
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C |
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C DATA SMALL/20K,3*0/,LARGE/77777K,3*177777K/ |
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C DATA RIGHT/31420K,3*0/,DIVER/32020K,3*0/ |
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C DATA LOG10/40423K,42023K,50237K,74776K/, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR THE HARRIS SLASH 6 AND SLASH 7 |
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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 /, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR THE HONEYWELL DPS 8/70 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 /, SC/987/ |
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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 AND THE SEL SYSTEMS 85/86. |
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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 /, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR THE INTERDATA 8/32 |
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C WITH THE UNIX SYSTEM FORTRAN 77 COMPILER. |
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C |
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C FOR THE INTERDATA FORTRAN VII COMPILER REPLACE |
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C THE Z'S SPECIFYING HEX CONSTANTS WITH Y'S. |
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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'7EFFFFFF', Z'FFFFFFFF' / |
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C DATA RIGHT(1),RIGHT(2) / Z'33100000', Z'00000000' / |
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C DATA DIVER(1),DIVER(2) / Z'34100000', Z'00000000' / |
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C DATA LOG10(1),LOG10(2) / Z'41134413', Z'509F79FF' /, SC/987/ |
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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 /, SC/987/ |
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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, "047674776746 /, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR PDP-11 FORTRANS 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 /, SC/987/ |
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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 /, SC/987/ |
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C |
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C MACHINE CONSTANTS FOR PDP-11 FORTRANS SUPPORTING |
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C 16-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL). |
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C |
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C SMALL, LARGE, RIGHT, DIVER, LOG10 SHOULD BE DECLARED |
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C INTEGER SMALL(4), LARGE(4), RIGHT(4), DIVER(4), LOG10(4) |
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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 |
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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 |
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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 |
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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 |
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C DATA LOG10(1),LOG10(2) / 16282, 8346 / |
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C DATA LOG10(3),LOG10(4) / -31493, -12296 /, SC/987/ |
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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 |
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C DATA LARGE(1),LARGE(2) / O077777, O177777 / |
| 296 |
|
|
C DATA LARGE(3),LARGE(4) / O177777, O177777 / |
| 297 |
|
|
C |
| 298 |
|
|
C DATA RIGHT(1),RIGHT(2) / O022200, O000000 / |
| 299 |
|
|
C DATA RIGHT(3),RIGHT(4) / O000000, O000000 / |
| 300 |
|
|
C |
| 301 |
|
|
C DATA DIVER(1),DIVER(2) / O022400, O000000 / |
| 302 |
|
|
C DATA DIVER(3),DIVER(4) / O000000, O000000 / |
| 303 |
|
|
C |
| 304 |
|
|
C DATA LOG10(1),LOG10(2) / O037632, O020232 / |
| 305 |
|
|
C DATA LOG10(3),LOG10(4) / O102373, O147770 /, SC/987/ |
| 306 |
|
|
C |
| 307 |
|
|
C MACHINE CONSTANTS FOR THE PRIME 50 SERIES SYSTEMS |
| 308 |
|
|
C WITH 32-BIT INTEGERS AND 64V MODE INSTRUCTIONS, |
| 309 |
|
|
C SUPPLIED BY IGOR BRAY. |
| 310 |
|
|
C |
| 311 |
|
|
C DATA SMALL(1),SMALL(2) / :10000000000, :00000100001 / |
| 312 |
|
|
C DATA LARGE(1),LARGE(2) / :17777777777, :37777677775 / |
| 313 |
|
|
C DATA RIGHT(1),RIGHT(2) / :10000000000, :00000000122 / |
| 314 |
|
|
C DATA DIVER(1),DIVER(2) / :10000000000, :00000000123 / |
| 315 |
|
|
C DATA LOG10(1),LOG10(2) / :11504046501, :07674600177 /, SC/987/ |
| 316 |
|
|
C |
| 317 |
|
|
C MACHINE CONSTANTS FOR THE SEQUENT BALANCE 8000 |
| 318 |
|
|
C |
| 319 |
|
|
C DATA SMALL(1),SMALL(2) / $00000000, $00100000 / |
| 320 |
|
|
C DATA LARGE(1),LARGE(2) / $FFFFFFFF, $7FEFFFFF / |
| 321 |
|
|
C DATA RIGHT(1),RIGHT(2) / $00000000, $3CA00000 / |
| 322 |
|
|
C DATA DIVER(1),DIVER(2) / $00000000, $3CB00000 / |
| 323 |
|
|
C DATA LOG10(1),LOG10(2) / $509F79FF, $3FD34413 /, SC/987/ |
| 324 |
|
|
C |
| 325 |
|
|
C MACHINE CONSTANTS FOR THE UNIVAC 1100 SERIES. |
| 326 |
|
|
C |
| 327 |
|
|
C DATA SMALL(1),SMALL(2) / O000040000000, O000000000000 / |
| 328 |
|
|
C DATA LARGE(1),LARGE(2) / O377777777777, O777777777777 / |
| 329 |
|
|
C DATA RIGHT(1),RIGHT(2) / O170540000000, O000000000000 / |
| 330 |
|
|
C DATA DIVER(1),DIVER(2) / O170640000000, O000000000000 / |
| 331 |
|
|
C DATA LOG10(1),LOG10(2) / O177746420232, O411757177572 /, SC/987/ |
| 332 |
|
|
C |
| 333 |
|
|
C MACHINE CONSTANTS FOR THE VAX UNIX F77 COMPILER |
| 334 |
|
|
C |
| 335 |
|
|
C DATA SMALL(1),SMALL(2) / 128, 0 / |
| 336 |
|
|
C DATA LARGE(1),LARGE(2) / -32769, -1 / |
| 337 |
|
|
C DATA RIGHT(1),RIGHT(2) / 9344, 0 / |
| 338 |
|
|
C DATA DIVER(1),DIVER(2) / 9472, 0 / |
| 339 |
|
|
C DATA LOG10(1),LOG10(2) / 546979738, -805796613 /, SC/987/ |
| 340 |
|
|
C |
| 341 |
|
|
C MACHINE CONSTANTS FOR THE VAX-11 WITH |
| 342 |
|
|
C FORTRAN IV-PLUS COMPILER |
| 343 |
|
|
C |
| 344 |
|
|
C DATA SMALL(1),SMALL(2) / Z00000080, Z00000000 / |
| 345 |
|
|
C DATA LARGE(1),LARGE(2) / ZFFFF7FFF, ZFFFFFFFF / |
| 346 |
|
|
C DATA RIGHT(1),RIGHT(2) / Z00002480, Z00000000 / |
| 347 |
|
|
C DATA DIVER(1),DIVER(2) / Z00002500, Z00000000 / |
| 348 |
|
|
C DATA LOG10(1),LOG10(2) / Z209A3F9A, ZCFF884FB /, SC/987/ |
| 349 |
|
|
C |
| 350 |
|
|
C MACHINE CONSTANTS FOR VAX/VMS VERSION 2.2 |
| 351 |
|
|
C |
| 352 |
|
|
C DATA SMALL(1),SMALL(2) / '80'X, '0'X / |
| 353 |
|
|
C DATA LARGE(1),LARGE(2) / 'FFFF7FFF'X, 'FFFFFFFF'X / |
| 354 |
|
|
C DATA RIGHT(1),RIGHT(2) / '2480'X, '0'X / |
| 355 |
|
|
C DATA DIVER(1),DIVER(2) / '2500'X, '0'X / |
| 356 |
|
|
C DATA LOG10(1),LOG10(2) / '209A3F9A'X, 'CFF884FB'X /, SC/987/ |
| 357 |
|
|
C |
| 358 |
|
|
C *** ISSUE STOP 779 IF ALL DATA STATEMENTS ARE COMMENTED... |
| 359 |
|
|
IF (SC .NE. 987) STOP 779 |
| 360 |
|
|
C *** ISSUE STOP 778 IF ALL DATA STATEMENTS ARE OBVIOUSLY WRONG... |
| 361 |
|
|
IF (DMACH(4) .GE. 1.0D0) STOP 778 |
| 362 |
|
|
IF (I .LT. 1 .OR. I .GT. 5) GOTO 999 |
| 363 |
|
|
D1MACH = DMACH(I) |
| 364 |
|
|
RETURN |
| 365 |
|
|
999 WRITE(*,1999) I |
| 366 |
|
|
1999 FORMAT(' D1MACH - I OUT OF BOUNDS',I10) |
| 367 |
|
|
STOP |
| 368 |
|
|
END |
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