Added machine parameter files from the BLAS. Use different optimization

based on compiler, and add "-lg2c -lm" to link if using g77, "-lm" otherwise.
This commit is contained in:
jtb 2001-01-20 21:25:31 +00:00
parent 0716009155
commit 33a2dd36cb
5 changed files with 750 additions and 15 deletions

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@ -1,4 +1,4 @@
# $NetBSD: Makefile,v 1.2 2000/12/06 23:02:52 jtb Exp $
# $NetBSD: Makefile,v 1.3 2001/01/20 21:25:31 jtb Exp $
DISTNAME= slatec_src
PKGNAME= slatec-4.1
@ -17,8 +17,8 @@ WRKSRC= ${WRKDIR}/src
USE_LIBTOOL= YES
UES_FORTRAN= YES
pre-build:
@${SED} -e 's:%%FORTRAN%%:'${FC}':g' \
< ${FILESDIR}/Makefile > ${WRKSRC}/Makefile
post-extract:
${CP} ${FILESDIR}/d1mach.f ${FILESDIR}/i1mach.f ${FILESDIR}/r1mach.f \
${FILESDIR}/Makefile ${WRKSRC}
.include "../../mk/bsd.pkg.mk"

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@ -1,11 +1,15 @@
LIB = slatec
LIBDIR = ${PREFIX}/lib
FORTRAN = %%FORTRAN%%
FFLAGS = -O3
.if $(FC)=="f77" || $(FC)=="g77"
FOPTS=-funroll-all-loops -O3
FLIBS=-lg2c -lm
.else
FOPTS=-O2
FLIBS=-lm
.endif
all: lib$(LIB)
all: lib$(LIB).la
OBJ= aaaaaa.o acosh.o ai.o aie.o albeta.o algams.o ali.o alngam.o alnrel.o \
asinh.o asyik.o asyjy.o atanh.o avint.o bakvec.o balanc.o \
@ -185,15 +189,24 @@ zbuni.o zbunk.o zdiv.o zexp.o zkscl.o zlog.o zmlri.o zmlt.o zrati.o \
zs1s2.o zseri.o zshch.o zsqrt.o zuchk.o zunhj.o zuni1.o zuni2.o \
zunik.o zunk1.o zunk2.o zuoik.o zwrsk.o
lib$(LIB): $(OBJ)
@$(LIBTOOL) --mode=link $(FORTRAN) -O -o lib$(LIB).la $(OBJ:.o=.lo) \
--version-info 0:0 -rpath $(LIBDIR)
lib$(LIB).la: $(OBJ)
$(LIBTOOL) --mode=link $(FC) $(FFLAGS) $(FOPTS) -o $@ $(OBJ:.o=.lo) \
$(LDFLAGS) $(FLIBS) --version-info 0:0 -rpath $(LIBDIR)
d1mach.o:
$(LIBTOOL) --mode=compile $(FC) -c $<
i1mach.o:
$(LIBTOOL) --mode=compile $(FC) -c $<
r1mach.o:
$(LIBTOOL) --mode=compile $(FC) -c $<
.f.o:
@$(LIBTOOL) --mode=compile $(FORTRAN) $(FFLAGS) -c $*.f
$(LIBTOOL) --mode=compile $(FC) $(FFLAGS) $(FOPTS) -c $<
install:
@$(LIBTOOL) --mode=install install lib$(LIB).la $(LIBDIR)
install: lib$(LIB).la
$(LIBTOOL) --mode=install $(BSD_INSTALL_DATA) $? $(LIBDIR)
clean:
rm -rf *.o *.lo .libs lib$(LIB).la
rm -rf $(OBJ) $(OBJ:.o=.lo) .libs lib$(LIB).la

209
math/slatec/files/d1mach.f Normal file
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@ -0,0 +1,209 @@
DOUBLE PRECISION FUNCTION D1MACH(I)
INTEGER I
C
C DOUBLE-PRECISION MACHINE CONSTANTS
C D1MACH( 1) = B**(EMIN-1), THE SMALLEST POSITIVE MAGNITUDE.
C D1MACH( 2) = B**EMAX*(1 - B**(-T)), THE LARGEST MAGNITUDE.
C D1MACH( 3) = B**(-T), THE SMALLEST RELATIVE SPACING.
C D1MACH( 4) = B**(1-T), THE LARGEST RELATIVE SPACING.
C D1MACH( 5) = LOG10(B)
C
INTEGER SMALL(2)
INTEGER LARGE(2)
INTEGER RIGHT(2)
INTEGER DIVER(2)
INTEGER LOG10(2)
INTEGER SC, CRAY1(38), J
COMMON /D9MACH/ CRAY1
SAVE SMALL, LARGE, RIGHT, DIVER, LOG10, SC
DOUBLE PRECISION DMACH(5)
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 THIS VERSION ADAPTS AUTOMATICALLY TO MOST CURRENT MACHINES.
C R1MACH CAN HANDLE AUTO-DOUBLE COMPILING, BUT THIS VERSION OF
C D1MACH DOES NOT, BECAUSE WE DO NOT HAVE QUAD CONSTANTS FOR
C MANY MACHINES YET.
C TO COMPILE ON OLDER MACHINES, ADD A C IN COLUMN 1
C ON THE NEXT LINE
DATA SC/0/
C AND REMOVE THE C FROM COLUMN 1 IN ONE OF THE SECTIONS BELOW.
C CONSTANTS FOR EVEN OLDER MACHINES CAN BE OBTAINED BY
C mail netlib@research.bell-labs.com
C send old1mach from blas
C PLEASE SEND CORRECTIONS TO dmg OR ehg@bell-labs.com.
C
C MACHINE CONSTANTS FOR THE HONEYWELL DPS 8/70 SERIES.
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 PDP-11 FORTRANS SUPPORTING
C 32-BIT INTEGERS.
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 MACHINE CONSTANTS FOR THE UNIVAC 1100 SERIES.
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 ON FIRST CALL, IF NO DATA UNCOMMENTED, TEST MACHINE TYPES.
IF (SC .NE. 987) THEN
DMACH(1) = 1.D13
IF ( SMALL(1) .EQ. 1117925532
* .AND. SMALL(2) .EQ. -448790528) THEN
* *** IEEE BIG ENDIAN ***
SMALL(1) = 1048576
SMALL(2) = 0
LARGE(1) = 2146435071
LARGE(2) = -1
RIGHT(1) = 1017118720
RIGHT(2) = 0
DIVER(1) = 1018167296
DIVER(2) = 0
LOG10(1) = 1070810131
LOG10(2) = 1352628735
ELSE IF ( SMALL(2) .EQ. 1117925532
* .AND. SMALL(1) .EQ. -448790528) THEN
* *** IEEE LITTLE ENDIAN ***
SMALL(2) = 1048576
SMALL(1) = 0
LARGE(2) = 2146435071
LARGE(1) = -1
RIGHT(2) = 1017118720
RIGHT(1) = 0
DIVER(2) = 1018167296
DIVER(1) = 0
LOG10(2) = 1070810131
LOG10(1) = 1352628735
ELSE IF ( SMALL(1) .EQ. -2065213935
* .AND. SMALL(2) .EQ. 10752) THEN
* *** VAX WITH D_FLOATING ***
SMALL(1) = 128
SMALL(2) = 0
LARGE(1) = -32769
LARGE(2) = -1
RIGHT(1) = 9344
RIGHT(2) = 0
DIVER(1) = 9472
DIVER(2) = 0
LOG10(1) = 546979738
LOG10(2) = -805796613
ELSE IF ( SMALL(1) .EQ. 1267827943
* .AND. SMALL(2) .EQ. 704643072) THEN
* *** IBM MAINFRAME ***
SMALL(1) = 1048576
SMALL(2) = 0
LARGE(1) = 2147483647
LARGE(2) = -1
RIGHT(1) = 856686592
RIGHT(2) = 0
DIVER(1) = 873463808
DIVER(2) = 0
LOG10(1) = 1091781651
LOG10(2) = 1352628735
ELSE IF ( SMALL(1) .EQ. 1120022684
* .AND. SMALL(2) .EQ. -448790528) THEN
* *** CONVEX C-1 ***
SMALL(1) = 1048576
SMALL(2) = 0
LARGE(1) = 2147483647
LARGE(2) = -1
RIGHT(1) = 1019215872
RIGHT(2) = 0
DIVER(1) = 1020264448
DIVER(2) = 0
LOG10(1) = 1072907283
LOG10(2) = 1352628735
ELSE IF ( SMALL(1) .EQ. 815547074
* .AND. SMALL(2) .EQ. 58688) THEN
* *** VAX G-FLOATING ***
SMALL(1) = 16
SMALL(2) = 0
LARGE(1) = -32769
LARGE(2) = -1
RIGHT(1) = 15552
RIGHT(2) = 0
DIVER(1) = 15568
DIVER(2) = 0
LOG10(1) = 1142112243
LOG10(2) = 2046775455
ELSE
DMACH(2) = 1.D27 + 1
DMACH(3) = 1.D27
LARGE(2) = LARGE(2) - RIGHT(2)
IF (LARGE(2) .EQ. 64 .AND. SMALL(2) .EQ. 0) THEN
CRAY1(1) = 67291416
DO 10 J = 1, 20
CRAY1(J+1) = CRAY1(J) + CRAY1(J)
10 CONTINUE
CRAY1(22) = CRAY1(21) + 321322
DO 20 J = 22, 37
CRAY1(J+1) = CRAY1(J) + CRAY1(J)
20 CONTINUE
IF (CRAY1(38) .EQ. SMALL(1)) THEN
* *** CRAY ***
CALL I1MCRY(SMALL(1), J, 8285, 8388608, 0)
SMALL(2) = 0
CALL I1MCRY(LARGE(1), J, 24574, 16777215, 16777215)
CALL I1MCRY(LARGE(2), J, 0, 16777215, 16777214)
CALL I1MCRY(RIGHT(1), J, 16291, 8388608, 0)
RIGHT(2) = 0
CALL I1MCRY(DIVER(1), J, 16292, 8388608, 0)
DIVER(2) = 0
CALL I1MCRY(LOG10(1), J, 16383, 10100890, 8715215)
CALL I1MCRY(LOG10(2), J, 0, 16226447, 9001388)
ELSE
WRITE(*,9000)
STOP 779
END IF
ELSE
WRITE(*,9000)
STOP 779
END IF
END IF
SC = 987
END IF
* SANITY CHECK
IF (DMACH(4) .GE. 1.0D0) STOP 778
IF (I .LT. 1 .OR. I .GT. 5) THEN
WRITE(*,*) 'D1MACH(I): I =',I,' is out of bounds.'
STOP
END IF
D1MACH = DMACH(I)
RETURN
9000 FORMAT(/' Adjust D1MACH by uncommenting data statements'/
*' appropriate for your machine.')
* /* Standard C source for D1MACH -- remove the * in column 1 */
*#include <stdio.h>
*#include <float.h>
*#include <math.h>
*double d1mach_(long *i)
*{
* switch(*i){
* case 1: return DBL_MIN;
* case 2: return DBL_MAX;
* case 3: return DBL_EPSILON/FLT_RADIX;
* case 4: return DBL_EPSILON;
* case 5: return log10((double)FLT_RADIX);
* }
* fprintf(stderr, "invalid argument: d1mach(%ld)\n", *i);
* exit(1); return 0; /* some compilers demand return values */
*}
END
SUBROUTINE I1MCRY(A, A1, B, C, D)
**** SPECIAL COMPUTATION FOR OLD CRAY MACHINES ****
INTEGER A, A1, B, C, D
A1 = 16777216*B + C
A = 16777216*A1 + D
END

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math/slatec/files/i1mach.f Normal file
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@ -0,0 +1,291 @@
INTEGER FUNCTION I1MACH(I)
INTEGER I
C
C I1MACH( 1) = THE STANDARD INPUT UNIT.
C I1MACH( 2) = THE STANDARD OUTPUT UNIT.
C I1MACH( 3) = THE STANDARD PUNCH UNIT.
C I1MACH( 4) = THE STANDARD ERROR MESSAGE UNIT.
C I1MACH( 5) = THE NUMBER OF BITS PER INTEGER STORAGE UNIT.
C I1MACH( 6) = THE NUMBER OF CHARACTERS PER CHARACTER STORAGE UNIT.
C INTEGERS HAVE FORM SIGN ( X(S-1)*A**(S-1) + ... + X(1)*A + X(0) )
C I1MACH( 7) = A, THE BASE.
C I1MACH( 8) = S, THE NUMBER OF BASE-A DIGITS.
C I1MACH( 9) = A**S - 1, THE LARGEST MAGNITUDE.
C FLOATS HAVE FORM SIGN (B**E)*( (X(1)/B) + ... + (X(T)/B**T) )
C WHERE EMIN .LE. E .LE. EMAX.
C I1MACH(10) = B, THE BASE.
C SINGLE-PRECISION
C I1MACH(11) = T, THE NUMBER OF BASE-B DIGITS.
C I1MACH(12) = EMIN, THE SMALLEST EXPONENT E.
C I1MACH(13) = EMAX, THE LARGEST EXPONENT E.
C DOUBLE-PRECISION
C I1MACH(14) = T, THE NUMBER OF BASE-B DIGITS.
C I1MACH(15) = EMIN, THE SMALLEST EXPONENT E.
C I1MACH(16) = EMAX, THE LARGEST EXPONENT E.
C
INTEGER IMACH(16), OUTPUT, SC, SMALL(2)
SAVE IMACH, SC
REAL RMACH
EQUIVALENCE (IMACH(4),OUTPUT), (RMACH,SMALL(1))
INTEGER I3, J, K, T3E(3)
DATA T3E(1) / 9777664 /
DATA T3E(2) / 5323660 /
DATA T3E(3) / 46980 /
C THIS VERSION ADAPTS AUTOMATICALLY TO MOST CURRENT MACHINES,
C INCLUDING AUTO-DOUBLE COMPILERS.
C TO COMPILE ON OLDER MACHINES, ADD A C IN COLUMN 1
C ON THE NEXT LINE
DATA SC/0/
C AND REMOVE THE C FROM COLUMN 1 IN ONE OF THE SECTIONS BELOW.
C CONSTANTS FOR EVEN OLDER MACHINES CAN BE OBTAINED BY
C mail netlib@research.bell-labs.com
C send old1mach from blas
C PLEASE SEND CORRECTIONS TO dmg OR ehg@bell-labs.com.
C
C MACHINE CONSTANTS FOR THE HONEYWELL DPS 8/70 SERIES.
C
C DATA IMACH( 1) / 5 /
C DATA IMACH( 2) / 6 /
C DATA IMACH( 3) / 43 /
C DATA IMACH( 4) / 6 /
C DATA IMACH( 5) / 36 /
C DATA IMACH( 6) / 4 /
C DATA IMACH( 7) / 2 /
C DATA IMACH( 8) / 35 /
C DATA IMACH( 9) / O377777777777 /
C DATA IMACH(10) / 2 /
C DATA IMACH(11) / 27 /
C DATA IMACH(12) / -127 /
C DATA IMACH(13) / 127 /
C DATA IMACH(14) / 63 /
C DATA IMACH(15) / -127 /
C DATA IMACH(16) / 127 /, SC/987/
C
C MACHINE CONSTANTS FOR PDP-11 FORTRANS SUPPORTING
C 32-BIT INTEGER ARITHMETIC.
C
C DATA IMACH( 1) / 5 /
C DATA IMACH( 2) / 6 /
C DATA IMACH( 3) / 7 /
C DATA IMACH( 4) / 6 /
C DATA IMACH( 5) / 32 /
C DATA IMACH( 6) / 4 /
C DATA IMACH( 7) / 2 /
C DATA IMACH( 8) / 31 /
C DATA IMACH( 9) / 2147483647 /
C DATA IMACH(10) / 2 /
C DATA IMACH(11) / 24 /
C DATA IMACH(12) / -127 /
C DATA IMACH(13) / 127 /
C DATA IMACH(14) / 56 /
C DATA IMACH(15) / -127 /
C DATA IMACH(16) / 127 /, SC/987/
C
C MACHINE CONSTANTS FOR THE UNIVAC 1100 SERIES.
C
C NOTE THAT THE PUNCH UNIT, I1MACH(3), HAS BEEN SET TO 7
C WHICH IS APPROPRIATE FOR THE UNIVAC-FOR SYSTEM.
C IF YOU HAVE THE UNIVAC-FTN SYSTEM, SET IT TO 1.
C
C DATA IMACH( 1) / 5 /
C DATA IMACH( 2) / 6 /
C DATA IMACH( 3) / 7 /
C DATA IMACH( 4) / 6 /
C DATA IMACH( 5) / 36 /
C DATA IMACH( 6) / 6 /
C DATA IMACH( 7) / 2 /
C DATA IMACH( 8) / 35 /
C DATA IMACH( 9) / O377777777777 /
C DATA IMACH(10) / 2 /
C DATA IMACH(11) / 27 /
C DATA IMACH(12) / -128 /
C DATA IMACH(13) / 127 /
C DATA IMACH(14) / 60 /
C DATA IMACH(15) /-1024 /
C DATA IMACH(16) / 1023 /, SC/987/
C
IF (SC .NE. 987) THEN
* *** CHECK FOR AUTODOUBLE ***
SMALL(2) = 0
RMACH = 1E13
IF (SMALL(2) .NE. 0) THEN
* *** AUTODOUBLED ***
IF ( (SMALL(1) .EQ. 1117925532
* .AND. SMALL(2) .EQ. -448790528)
* .OR. (SMALL(2) .EQ. 1117925532
* .AND. SMALL(1) .EQ. -448790528)) THEN
* *** IEEE ***
IMACH(10) = 2
IMACH(14) = 53
IMACH(15) = -1021
IMACH(16) = 1024
ELSE IF ( SMALL(1) .EQ. -2065213935
* .AND. SMALL(2) .EQ. 10752) THEN
* *** VAX WITH D_FLOATING ***
IMACH(10) = 2
IMACH(14) = 56
IMACH(15) = -127
IMACH(16) = 127
ELSE IF ( SMALL(1) .EQ. 1267827943
* .AND. SMALL(2) .EQ. 704643072) THEN
* *** IBM MAINFRAME ***
IMACH(10) = 16
IMACH(14) = 14
IMACH(15) = -64
IMACH(16) = 63
ELSE
WRITE(*,9010)
STOP 777
END IF
IMACH(11) = IMACH(14)
IMACH(12) = IMACH(15)
IMACH(13) = IMACH(16)
ELSE
RMACH = 1234567.
IF (SMALL(1) .EQ. 1234613304) THEN
* *** IEEE ***
IMACH(10) = 2
IMACH(11) = 24
IMACH(12) = -125
IMACH(13) = 128
IMACH(14) = 53
IMACH(15) = -1021
IMACH(16) = 1024
SC = 987
ELSE IF (SMALL(1) .EQ. -1271379306) THEN
* *** VAX ***
IMACH(10) = 2
IMACH(11) = 24
IMACH(12) = -127
IMACH(13) = 127
IMACH(14) = 56
IMACH(15) = -127
IMACH(16) = 127
SC = 987
ELSE IF (SMALL(1) .EQ. 1175639687) THEN
* *** IBM MAINFRAME ***
IMACH(10) = 16
IMACH(11) = 6
IMACH(12) = -64
IMACH(13) = 63
IMACH(14) = 14
IMACH(15) = -64
IMACH(16) = 63
SC = 987
ELSE IF (SMALL(1) .EQ. 1251390520) THEN
* *** CONVEX C-1 ***
IMACH(10) = 2
IMACH(11) = 24
IMACH(12) = -128
IMACH(13) = 127
IMACH(14) = 53
IMACH(15) = -1024
IMACH(16) = 1023
ELSE
DO 10 I3 = 1, 3
J = SMALL(1) / 10000000
K = SMALL(1) - 10000000*J
IF (K .NE. T3E(I3)) GO TO 20
SMALL(1) = J
10 CONTINUE
* *** CRAY T3E ***
IMACH( 1) = 5
IMACH( 2) = 6
IMACH( 3) = 0
IMACH( 4) = 0
IMACH( 5) = 64
IMACH( 6) = 8
IMACH( 7) = 2
IMACH( 8) = 63
CALL I1MCR1(IMACH(9), K, 32767, 16777215, 16777215)
IMACH(10) = 2
IMACH(11) = 53
IMACH(12) = -1021
IMACH(13) = 1024
IMACH(14) = 53
IMACH(15) = -1021
IMACH(16) = 1024
GO TO 35
20 CALL I1MCR1(J, K, 16405, 9876536, 0)
IF (SMALL(1) .NE. J) THEN
WRITE(*,9020)
STOP 777
END IF
* *** CRAY 1, XMP, 2, AND 3 ***
IMACH(1) = 5
IMACH(2) = 6
IMACH(3) = 102
IMACH(4) = 6
IMACH(5) = 46
IMACH(6) = 8
IMACH(7) = 2
IMACH(8) = 45
CALL I1MCR1(IMACH(9), K, 0, 4194303, 16777215)
IMACH(10) = 2
IMACH(11) = 47
IMACH(12) = -8188
IMACH(13) = 8189
IMACH(14) = 94
IMACH(15) = -8141
IMACH(16) = 8189
GO TO 35
END IF
END IF
IMACH( 1) = 5
IMACH( 2) = 6
IMACH( 3) = 7
IMACH( 4) = 6
IMACH( 5) = 32
IMACH( 6) = 4
IMACH( 7) = 2
IMACH( 8) = 31
IMACH( 9) = 2147483647
35 SC = 987
END IF
9010 FORMAT(/' Adjust autodoubled I1MACH by uncommenting data'/
* ' statements appropriate for your machine and setting'/
* ' IMACH(I) = IMACH(I+3) for I = 11, 12, and 13.')
9020 FORMAT(/' Adjust I1MACH by uncommenting data statements'/
* ' appropriate for your machine.')
IF (I .LT. 1 .OR. I .GT. 16) GO TO 40
I1MACH = IMACH(I)
RETURN
40 WRITE(*,*) 'I1MACH(I): I =',I,' is out of bounds.'
STOP
* /* C source for I1MACH -- remove the * in column 1 */
* /* Note that some values may need changing. */
*#include <stdio.h>
*#include <float.h>
*#include <limits.h>
*#include <math.h>
*
*long i1mach_(long *i)
*{
* switch(*i){
* case 1: return 5; /* standard input */
* case 2: return 6; /* standard output */
* case 3: return 7; /* standard punch */
* case 4: return 0; /* standard error */
* case 5: return 32; /* bits per integer */
* case 6: return sizeof(int);
* case 7: return 2; /* base for integers */
* case 8: return 31; /* digits of integer base */
* case 9: return LONG_MAX;
* case 10: return FLT_RADIX;
* case 11: return FLT_MANT_DIG;
* case 12: return FLT_MIN_EXP;
* case 13: return FLT_MAX_EXP;
* case 14: return DBL_MANT_DIG;
* case 15: return DBL_MIN_EXP;
* case 16: return DBL_MAX_EXP;
* }
* fprintf(stderr, "invalid argument: i1mach(%ld)\n", *i);
* exit(1);return 0; /* some compilers demand return values */
*}
END
SUBROUTINE I1MCR1(A, A1, B, C, D)
**** SPECIAL COMPUTATION FOR OLD CRAY MACHINES ****
INTEGER A, A1, B, C, D
A1 = 16777216*B + C
A = 16777216*A1 + D
END

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REAL FUNCTION R1MACH(I)
INTEGER I
C
C SINGLE-PRECISION MACHINE CONSTANTS
C R1MACH(1) = B**(EMIN-1), THE SMALLEST POSITIVE MAGNITUDE.
C R1MACH(2) = B**EMAX*(1 - B**(-T)), THE LARGEST MAGNITUDE.
C R1MACH(3) = B**(-T), THE SMALLEST RELATIVE SPACING.
C R1MACH(4) = B**(1-T), THE LARGEST RELATIVE SPACING.
C R1MACH(5) = LOG10(B)
C
INTEGER SMALL(2)
INTEGER LARGE(2)
INTEGER RIGHT(2)
INTEGER DIVER(2)
INTEGER LOG10(2)
C needs to be (2) for AUTODOUBLE, HARRIS SLASH 6, ...
INTEGER SC
SAVE SMALL, LARGE, RIGHT, DIVER, LOG10, SC
REAL RMACH(5)
EQUIVALENCE (RMACH(1),SMALL(1))
EQUIVALENCE (RMACH(2),LARGE(1))
EQUIVALENCE (RMACH(3),RIGHT(1))
EQUIVALENCE (RMACH(4),DIVER(1))
EQUIVALENCE (RMACH(5),LOG10(1))
INTEGER J, K, L, T3E(3)
DATA T3E(1) / 9777664 /
DATA T3E(2) / 5323660 /
DATA T3E(3) / 46980 /
C THIS VERSION ADAPTS AUTOMATICALLY TO MOST CURRENT MACHINES,
C INCLUDING AUTO-DOUBLE COMPILERS.
C TO COMPILE ON OLDER MACHINES, ADD A C IN COLUMN 1
C ON THE NEXT LINE
DATA SC/0/
C AND REMOVE THE C FROM COLUMN 1 IN ONE OF THE SECTIONS BELOW.
C CONSTANTS FOR EVEN OLDER MACHINES CAN BE OBTAINED BY
C mail netlib@research.bell-labs.com
C send old1mach from blas
C PLEASE SEND CORRECTIONS TO dmg OR ehg@bell-labs.com.
C
C MACHINE CONSTANTS FOR THE HONEYWELL DPS 8/70 SERIES.
C DATA RMACH(1) / O402400000000 /
C DATA RMACH(2) / O376777777777 /
C DATA RMACH(3) / O714400000000 /
C DATA RMACH(4) / O716400000000 /
C DATA RMACH(5) / O776464202324 /, SC/987/
C
C MACHINE CONSTANTS FOR PDP-11 FORTRANS SUPPORTING
C 32-BIT INTEGERS (EXPRESSED IN INTEGER AND OCTAL).
C DATA SMALL(1) / 8388608 /
C DATA LARGE(1) / 2147483647 /
C DATA RIGHT(1) / 880803840 /
C DATA DIVER(1) / 889192448 /
C DATA LOG10(1) / 1067065499 /, SC/987/
C DATA RMACH(1) / O00040000000 /
C DATA RMACH(2) / O17777777777 /
C DATA RMACH(3) / O06440000000 /
C DATA RMACH(4) / O06500000000 /
C DATA RMACH(5) / O07746420233 /, SC/987/
C
C MACHINE CONSTANTS FOR THE UNIVAC 1100 SERIES.
C DATA RMACH(1) / O000400000000 /
C DATA RMACH(2) / O377777777777 /
C DATA RMACH(3) / O146400000000 /
C DATA RMACH(4) / O147400000000 /
C DATA RMACH(5) / O177464202324 /, SC/987/
C
IF (SC .NE. 987) THEN
* *** CHECK FOR AUTODOUBLE ***
SMALL(2) = 0
RMACH(1) = 1E13
IF (SMALL(2) .NE. 0) THEN
* *** AUTODOUBLED ***
IF ( SMALL(1) .EQ. 1117925532
* .AND. SMALL(2) .EQ. -448790528) THEN
* *** IEEE BIG ENDIAN ***
SMALL(1) = 1048576
SMALL(2) = 0
LARGE(1) = 2146435071
LARGE(2) = -1
RIGHT(1) = 1017118720
RIGHT(2) = 0
DIVER(1) = 1018167296
DIVER(2) = 0
LOG10(1) = 1070810131
LOG10(2) = 1352628735
ELSE IF ( SMALL(2) .EQ. 1117925532
* .AND. SMALL(1) .EQ. -448790528) THEN
* *** IEEE LITTLE ENDIAN ***
SMALL(2) = 1048576
SMALL(1) = 0
LARGE(2) = 2146435071
LARGE(1) = -1
RIGHT(2) = 1017118720
RIGHT(1) = 0
DIVER(2) = 1018167296
DIVER(1) = 0
LOG10(2) = 1070810131
LOG10(1) = 1352628735
ELSE IF ( SMALL(1) .EQ. -2065213935
* .AND. SMALL(2) .EQ. 10752) THEN
* *** VAX WITH D_FLOATING ***
SMALL(1) = 128
SMALL(2) = 0
LARGE(1) = -32769
LARGE(2) = -1
RIGHT(1) = 9344
RIGHT(2) = 0
DIVER(1) = 9472
DIVER(2) = 0
LOG10(1) = 546979738
LOG10(2) = -805796613
ELSE IF ( SMALL(1) .EQ. 1267827943
* .AND. SMALL(2) .EQ. 704643072) THEN
* *** IBM MAINFRAME ***
SMALL(1) = 1048576
SMALL(2) = 0
LARGE(1) = 2147483647
LARGE(2) = -1
RIGHT(1) = 856686592
RIGHT(2) = 0
DIVER(1) = 873463808
DIVER(2) = 0
LOG10(1) = 1091781651
LOG10(2) = 1352628735
ELSE
WRITE(*,9010)
STOP 777
END IF
ELSE
RMACH(1) = 1234567.
IF (SMALL(1) .EQ. 1234613304) THEN
* *** IEEE ***
SMALL(1) = 8388608
LARGE(1) = 2139095039
RIGHT(1) = 864026624
DIVER(1) = 872415232
LOG10(1) = 1050288283
ELSE IF (SMALL(1) .EQ. -1271379306) THEN
* *** VAX ***
SMALL(1) = 128
LARGE(1) = -32769
RIGHT(1) = 13440
DIVER(1) = 13568
LOG10(1) = 547045274
ELSE IF (SMALL(1) .EQ. 1175639687) THEN
* *** IBM MAINFRAME ***
SMALL(1) = 1048576
LARGE(1) = 2147483647
RIGHT(1) = 990904320
DIVER(1) = 1007681536
LOG10(1) = 1091781651
ELSE IF (SMALL(1) .EQ. 1251390520) THEN
* *** CONVEX C-1 ***
SMALL(1) = 8388608
LARGE(1) = 2147483647
RIGHT(1) = 880803840
DIVER(1) = 889192448
LOG10(1) = 1067065499
ELSE
DO 10 L = 1, 3
J = SMALL(1) / 10000000
K = SMALL(1) - 10000000*J
IF (K .NE. T3E(L)) GO TO 20
SMALL(1) = J
10 CONTINUE
* *** CRAY T3E ***
CALL I1MCRA(SMALL, K, 16, 0, 0)
CALL I1MCRA(LARGE, K, 32751, 16777215, 16777215)
CALL I1MCRA(RIGHT, K, 15520, 0, 0)
CALL I1MCRA(DIVER, K, 15536, 0, 0)
CALL I1MCRA(LOG10, K, 16339, 4461392, 10451455)
GO TO 30
20 CALL I1MCRA(J, K, 16405, 9876536, 0)
IF (SMALL(1) .NE. J) THEN
WRITE(*,9020)
STOP 777
END IF
* *** CRAY 1, XMP, 2, AND 3 ***
CALL I1MCRA(SMALL(1), K, 8195, 8388608, 1)
CALL I1MCRA(LARGE(1), K, 24574, 16777215, 16777214)
CALL I1MCRA(RIGHT(1), K, 16338, 8388608, 0)
CALL I1MCRA(DIVER(1), K, 16339, 8388608, 0)
CALL I1MCRA(LOG10(1), K, 16383, 10100890, 8715216)
END IF
END IF
30 SC = 987
END IF
* SANITY CHECK
IF (RMACH(4) .GE. 1.0) STOP 776
IF (I .LT. 1 .OR. I .GT. 5) THEN
WRITE(*,*) 'R1MACH(I): I =',I,' is out of bounds.'
STOP
END IF
R1MACH = RMACH(I)
RETURN
9010 FORMAT(/' Adjust autodoubled R1MACH by getting data'/
*' appropriate for your machine from D1MACH.')
9020 FORMAT(/' Adjust R1MACH by uncommenting data statements'/
*' appropriate for your machine.')
* /* C source for R1MACH -- remove the * in column 1 */
*#include <stdio.h>
*#include <float.h>
*#include <math.h>
*float r1mach_(long *i)
*{
* switch(*i){
* case 1: return FLT_MIN;
* case 2: return FLT_MAX;
* case 3: return FLT_EPSILON/FLT_RADIX;
* case 4: return FLT_EPSILON;
* case 5: return log10((double)FLT_RADIX);
* }
* fprintf(stderr, "invalid argument: r1mach(%ld)\n", *i);
* exit(1); return 0; /* else complaint of missing return value */
*}
END
SUBROUTINE I1MCRA(A, A1, B, C, D)
**** SPECIAL COMPUTATION FOR CRAY MACHINES ****
INTEGER A, A1, B, C, D
A1 = 16777216*B + C
A = 16777216*A1 + D
END