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|
*> \brief \b SBLAT1
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* PROGRAM SBLAT1
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> Test program for the REAL Level 1 BLAS.
*>
*> Based upon the original BLAS test routine together with:
*> F06EAF Example Program Text
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup single_blas_testing
*
* =====================================================================
PROGRAM SBLAT1
*
* -- Reference BLAS test routine --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*
* =====================================================================
*
* .. Parameters ..
INTEGER NOUT
PARAMETER (NOUT=6)
* .. Scalars in Common ..
INTEGER ICASE, INCX, INCY, N
LOGICAL PASS
* .. Local Scalars ..
REAL SFAC
INTEGER IC
* .. External Subroutines ..
EXTERNAL CHECK0, CHECK1, CHECK2, CHECK3, HEADER
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
* .. Data statements ..
DATA SFAC/9.765625E-4/
* .. Executable Statements ..
WRITE (NOUT,99999)
DO 20 IC = 1, 13
ICASE = IC
CALL HEADER
*
* .. Initialize PASS, INCX, and INCY for a new case. ..
* .. the value 9999 for INCX or INCY will appear in the ..
* .. detailed output, if any, for cases that do not involve ..
* .. these parameters ..
*
PASS = .TRUE.
INCX = 9999
INCY = 9999
IF (ICASE.EQ.3 .OR. ICASE.EQ.11) THEN
CALL CHECK0(SFAC)
ELSE IF (ICASE.EQ.7 .OR. ICASE.EQ.8 .OR. ICASE.EQ.9 .OR.
+ ICASE.EQ.10) THEN
CALL CHECK1(SFAC)
ELSE IF (ICASE.EQ.1 .OR. ICASE.EQ.2 .OR. ICASE.EQ.5 .OR.
+ ICASE.EQ.6 .OR. ICASE.EQ.12 .OR. ICASE.EQ.13) THEN
CALL CHECK2(SFAC)
ELSE IF (ICASE.EQ.4) THEN
CALL CHECK3(SFAC)
END IF
* -- Print
IF (PASS) WRITE (NOUT,99998)
20 CONTINUE
STOP
*
99999 FORMAT (' Real BLAS Test Program Results',/1X)
99998 FORMAT (' ----- PASS -----')
*
* End of SBLAT1
*
END
SUBROUTINE HEADER
* .. Parameters ..
INTEGER NOUT
PARAMETER (NOUT=6)
* .. Scalars in Common ..
INTEGER ICASE, INCX, INCY, N
LOGICAL PASS
* .. Local Arrays ..
CHARACTER*6 L(13)
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
* .. Data statements ..
DATA L(1)/' SDOT '/
DATA L(2)/'SAXPY '/
DATA L(3)/'SROTG '/
DATA L(4)/' SROT '/
DATA L(5)/'SCOPY '/
DATA L(6)/'SSWAP '/
DATA L(7)/'SNRM2 '/
DATA L(8)/'SASUM '/
DATA L(9)/'SSCAL '/
DATA L(10)/'ISAMAX'/
DATA L(11)/'SROTMG'/
DATA L(12)/'SROTM '/
DATA L(13)/'SDSDOT'/
* .. Executable Statements ..
WRITE (NOUT,99999) ICASE, L(ICASE)
RETURN
*
99999 FORMAT (/' Test of subprogram number',I3,12X,A6)
*
* End of HEADER
*
END
SUBROUTINE CHECK0(SFAC)
* .. Parameters ..
INTEGER NOUT
PARAMETER (NOUT=6)
* .. Scalar Arguments ..
REAL SFAC
* .. Scalars in Common ..
INTEGER ICASE, INCX, INCY, N
LOGICAL PASS
* .. Local Scalars ..
REAL D12, SA, SB, SC, SS
INTEGER I, K
* .. Local Arrays ..
REAL DA1(8), DATRUE(8), DB1(8), DBTRUE(8), DC1(8),
+ DS1(8), DAB(4,9), DTEMP(9), DTRUE(9,9)
* .. External Subroutines ..
EXTERNAL SROTG, SROTMG, STEST, STEST1
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
* .. Data statements ..
DATA DA1/0.3E0, 0.4E0, -0.3E0, -0.4E0, -0.3E0, 0.0E0,
+ 0.0E0, 1.0E0/
DATA DB1/0.4E0, 0.3E0, 0.4E0, 0.3E0, -0.4E0, 0.0E0,
+ 1.0E0, 0.0E0/
DATA DC1/0.6E0, 0.8E0, -0.6E0, 0.8E0, 0.6E0, 1.0E0,
+ 0.0E0, 1.0E0/
DATA DS1/0.8E0, 0.6E0, 0.8E0, -0.6E0, 0.8E0, 0.0E0,
+ 1.0E0, 0.0E0/
DATA DATRUE/0.5E0, 0.5E0, 0.5E0, -0.5E0, -0.5E0,
+ 0.0E0, 1.0E0, 1.0E0/
DATA DBTRUE/0.0E0, 0.6E0, 0.0E0, -0.6E0, 0.0E0,
+ 0.0E0, 1.0E0, 0.0E0/
* INPUT FOR MODIFIED GIVENS
DATA DAB/ .1E0,.3E0,1.2E0,.2E0,
A .7E0, .2E0, .6E0, 4.2E0,
B 0.E0,0.E0,0.E0,0.E0,
C 4.E0, -1.E0, 2.E0, 4.E0,
D 6.E-10, 2.E-2, 1.E5, 10.E0,
E 4.E10, 2.E-2, 1.E-5, 10.E0,
F 2.E-10, 4.E-2, 1.E5, 10.E0,
G 2.E10, 4.E-2, 1.E-5, 10.E0,
H 4.E0, -2.E0, 8.E0, 4.E0 /
* TRUE RESULTS FOR MODIFIED GIVENS
DATA DTRUE/0.E0,0.E0, 1.3E0, .2E0, 0.E0,0.E0,0.E0, .5E0, 0.E0,
A 0.E0,0.E0, 4.5E0, 4.2E0, 1.E0, .5E0, 0.E0,0.E0,0.E0,
B 0.E0,0.E0,0.E0,0.E0, -2.E0, 0.E0,0.E0,0.E0,0.E0,
C 0.E0,0.E0,0.E0, 4.E0, -1.E0, 0.E0,0.E0,0.E0,0.E0,
D 0.E0, 15.E-3, 0.E0, 10.E0, -1.E0, 0.E0, -1.E-4,
E 0.E0, 1.E0,
F 0.E0,0.E0, 6144.E-5, 10.E0, -1.E0, 4096.E0, -1.E6,
G 0.E0, 1.E0,
H 0.E0,0.E0,15.E0,10.E0,-1.E0, 5.E-5, 0.E0,1.E0,0.E0,
I 0.E0,0.E0, 15.E0, 10.E0, -1. E0, 5.E5, -4096.E0,
J 1.E0, 4096.E-6,
K 0.E0,0.E0, 7.E0, 4.E0, 0.E0,0.E0, -.5E0, -.25E0, 0.E0/
* 4096 = 2 ** 12
DATA D12 /4096.E0/
DTRUE(1,1) = 12.E0 / 130.E0
DTRUE(2,1) = 36.E0 / 130.E0
DTRUE(7,1) = -1.E0 / 6.E0
DTRUE(1,2) = 14.E0 / 75.E0
DTRUE(2,2) = 49.E0 / 75.E0
DTRUE(9,2) = 1.E0 / 7.E0
DTRUE(1,5) = 45.E-11 * (D12 * D12)
DTRUE(3,5) = 4.E5 / (3.E0 * D12)
DTRUE(6,5) = 1.E0 / D12
DTRUE(8,5) = 1.E4 / (3.E0 * D12)
DTRUE(1,6) = 4.E10 / (1.5E0 * D12 * D12)
DTRUE(2,6) = 2.E-2 / 1.5E0
DTRUE(8,6) = 5.E-7 * D12
DTRUE(1,7) = 4.E0 / 150.E0
DTRUE(2,7) = (2.E-10 / 1.5E0) * (D12 * D12)
DTRUE(7,7) = -DTRUE(6,5)
DTRUE(9,7) = 1.E4 / D12
DTRUE(1,8) = DTRUE(1,7)
DTRUE(2,8) = 2.E10 / (1.5E0 * D12 * D12)
DTRUE(1,9) = 32.E0 / 7.E0
DTRUE(2,9) = -16.E0 / 7.E0
* .. Executable Statements ..
*
* Compute true values which cannot be prestored
* in decimal notation
*
DBTRUE(1) = 1.0E0/0.6E0
DBTRUE(3) = -1.0E0/0.6E0
DBTRUE(5) = 1.0E0/0.6E0
*
DO 20 K = 1, 8
* .. Set N=K for identification in output if any ..
N = K
IF (ICASE.EQ.3) THEN
* .. SROTG ..
IF (K.GT.8) GO TO 40
SA = DA1(K)
SB = DB1(K)
CALL SROTG(SA,SB,SC,SS)
CALL STEST1(SA,DATRUE(K),DATRUE(K),SFAC)
CALL STEST1(SB,DBTRUE(K),DBTRUE(K),SFAC)
CALL STEST1(SC,DC1(K),DC1(K),SFAC)
CALL STEST1(SS,DS1(K),DS1(K),SFAC)
ELSEIF (ICASE.EQ.11) THEN
* .. SROTMG ..
DO I=1,4
DTEMP(I)= DAB(I,K)
DTEMP(I+4) = 0.0
END DO
DTEMP(9) = 0.0
CALL SROTMG(DTEMP(1),DTEMP(2),DTEMP(3),DTEMP(4),DTEMP(5))
CALL STEST(9,DTEMP,DTRUE(1,K),DTRUE(1,K),SFAC)
ELSE
WRITE (NOUT,*) ' Shouldn''t be here in CHECK0'
STOP
END IF
20 CONTINUE
40 RETURN
*
* End of CHECK0
*
END
SUBROUTINE CHECK1(SFAC)
* .. Parameters ..
INTEGER NOUT
REAL THRESH
PARAMETER (NOUT=6, THRESH=10.0E0)
* .. Scalar Arguments ..
REAL SFAC
* .. Scalars in Common ..
INTEGER ICASE, INCX, INCY, N
LOGICAL PASS
* .. Local Scalars ..
INTEGER I, IX, LEN, NP1
* .. Local Arrays ..
REAL DTRUE1(5), DTRUE3(5), DTRUE5(8,5,2), DV(8,5,2),
+ DVR(8), SA(10), STEMP(1), STRUE(8), SX(8),
+ SXR(15)
INTEGER ITRUE2(5), ITRUEC(5)
* .. External Functions ..
REAL SASUM, SNRM2
INTEGER ISAMAX
EXTERNAL SASUM, SNRM2, ISAMAX
* .. External Subroutines ..
EXTERNAL ITEST1, SB1NRM2, SSCAL, STEST, STEST1
* .. Intrinsic Functions ..
INTRINSIC MAX
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
* .. Data statements ..
DATA SA/0.3E0, -1.0E0, 0.0E0, 1.0E0, 0.3E0, 0.3E0,
+ 0.3E0, 0.3E0, 0.3E0, 0.3E0/
DATA DV/0.1E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0,
+ 2.0E0, 2.0E0, 0.3E0, 3.0E0, 3.0E0, 3.0E0, 3.0E0,
+ 3.0E0, 3.0E0, 3.0E0, 0.3E0, -0.4E0, 4.0E0,
+ 4.0E0, 4.0E0, 4.0E0, 4.0E0, 4.0E0, 0.2E0,
+ -0.6E0, 0.3E0, 5.0E0, 5.0E0, 5.0E0, 5.0E0,
+ 5.0E0, 0.1E0, -0.3E0, 0.5E0, -0.1E0, 6.0E0,
+ 6.0E0, 6.0E0, 6.0E0, 0.1E0, 8.0E0, 8.0E0, 8.0E0,
+ 8.0E0, 8.0E0, 8.0E0, 8.0E0, 0.3E0, 9.0E0, 9.0E0,
+ 9.0E0, 9.0E0, 9.0E0, 9.0E0, 9.0E0, 0.3E0, 2.0E0,
+ -0.4E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0,
+ 0.2E0, 3.0E0, -0.6E0, 5.0E0, 0.3E0, 2.0E0,
+ 2.0E0, 2.0E0, 0.1E0, 4.0E0, -0.3E0, 6.0E0,
+ -0.5E0, 7.0E0, -0.1E0, 3.0E0/
DATA DVR/8.0E0, -7.0E0, 9.0E0, 5.0E0, 9.0E0, 8.0E0,
+ 7.0E0, 7.0E0/
DATA DTRUE1/0.0E0, 0.3E0, 0.5E0, 0.7E0, 0.6E0/
DATA DTRUE3/0.0E0, 0.3E0, 0.7E0, 1.1E0, 1.0E0/
DATA DTRUE5/0.10E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0,
+ 2.0E0, 2.0E0, 2.0E0, -0.3E0, 3.0E0, 3.0E0,
+ 3.0E0, 3.0E0, 3.0E0, 3.0E0, 3.0E0, 0.0E0, 0.0E0,
+ 4.0E0, 4.0E0, 4.0E0, 4.0E0, 4.0E0, 4.0E0,
+ 0.20E0, -0.60E0, 0.30E0, 5.0E0, 5.0E0, 5.0E0,
+ 5.0E0, 5.0E0, 0.03E0, -0.09E0, 0.15E0, -0.03E0,
+ 6.0E0, 6.0E0, 6.0E0, 6.0E0, 0.10E0, 8.0E0,
+ 8.0E0, 8.0E0, 8.0E0, 8.0E0, 8.0E0, 8.0E0,
+ 0.09E0, 9.0E0, 9.0E0, 9.0E0, 9.0E0, 9.0E0,
+ 9.0E0, 9.0E0, 0.09E0, 2.0E0, -0.12E0, 2.0E0,
+ 2.0E0, 2.0E0, 2.0E0, 2.0E0, 0.06E0, 3.0E0,
+ -0.18E0, 5.0E0, 0.09E0, 2.0E0, 2.0E0, 2.0E0,
+ 0.03E0, 4.0E0, -0.09E0, 6.0E0, -0.15E0, 7.0E0,
+ -0.03E0, 3.0E0/
DATA ITRUE2/0, 1, 2, 2, 3/
DATA ITRUEC/0, 1, 1, 1, 1/
* .. Executable Statements ..
DO 80 INCX = 1, 2
DO 60 NP1 = 1, 5
N = NP1 - 1
LEN = 2*MAX(N,1)
* .. Set vector arguments ..
DO 20 I = 1, LEN
SX(I) = DV(I,NP1,INCX)
20 CONTINUE
*
IF (ICASE.EQ.7) THEN
* .. SNRM2 ..
* Test with hardcoded mid range entries
STEMP(1) = DTRUE1(NP1)
CALL STEST1(SNRM2(N,SX,INCX),STEMP(1),STEMP,SFAC)
ELSE IF (ICASE.EQ.8) THEN
* .. SASUM ..
STEMP(1) = DTRUE3(NP1)
CALL STEST1(SASUM(N,SX,INCX),STEMP(1),STEMP,SFAC)
ELSE IF (ICASE.EQ.9) THEN
* .. SSCAL ..
CALL SSCAL(N,SA((INCX-1)*5+NP1),SX,INCX)
DO 40 I = 1, LEN
STRUE(I) = DTRUE5(I,NP1,INCX)
40 CONTINUE
CALL STEST(LEN,SX,STRUE,STRUE,SFAC)
ELSE IF (ICASE.EQ.10) THEN
* .. ISAMAX ..
CALL ITEST1(ISAMAX(N,SX,INCX),ITRUE2(NP1))
DO 100 I = 1, LEN
SX(I) = 42.0E0
100 CONTINUE
CALL ITEST1(ISAMAX(N,SX,INCX),ITRUEC(NP1))
ELSE
WRITE (NOUT,*) ' Shouldn''t be here in CHECK1'
STOP
END IF
60 CONTINUE
IF (ICASE.EQ.10) THEN
N = 8
IX = 1
DO 120 I = 1, N
SXR(IX) = DVR(I)
IX = IX + INCX
120 CONTINUE
CALL ITEST1(ISAMAX(N,SXR,INCX),3)
END IF
80 CONTINUE
RETURN
*
* End of CHECK1
*
END
SUBROUTINE CHECK2(SFAC)
* .. Parameters ..
INTEGER NOUT
PARAMETER (NOUT=6)
* .. Scalar Arguments ..
REAL SFAC
* .. Scalars in Common ..
INTEGER ICASE, INCX, INCY, N
LOGICAL PASS
* .. Local Scalars ..
REAL SA
INTEGER I, J, KI, KN, KNI, KPAR, KSIZE, LENX, LENY,
$ LINCX, LINCY, MX, MY
* .. Local Arrays ..
REAL DT10X(7,4,4), DT10Y(7,4,4), DT7(4,4),
$ DT8(7,4,4), DX1(7),
$ DY1(7), SSIZE1(4), SSIZE2(14,2), SSIZE3(4),
$ SSIZE(7), STX(7), STY(7), SX(7), SY(7),
$ DPAR(5,4), DT19X(7,4,16),DT19XA(7,4,4),
$ DT19XB(7,4,4), DT19XC(7,4,4),DT19XD(7,4,4),
$ DT19Y(7,4,16), DT19YA(7,4,4),DT19YB(7,4,4),
$ DT19YC(7,4,4), DT19YD(7,4,4), DTEMP(5),
$ ST7B(4,4), STY0(1), SX0(1), SY0(1)
INTEGER INCXS(4), INCYS(4), LENS(4,2), NS(4)
* .. External Functions ..
REAL SDOT, SDSDOT
EXTERNAL SDOT, SDSDOT
* .. External Subroutines ..
EXTERNAL SAXPY, SCOPY, SROTM, SSWAP, STEST, STEST1
* .. Intrinsic Functions ..
INTRINSIC ABS, MIN
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
* .. Data statements ..
EQUIVALENCE (DT19X(1,1,1),DT19XA(1,1,1)),(DT19X(1,1,5),
A DT19XB(1,1,1)),(DT19X(1,1,9),DT19XC(1,1,1)),
B (DT19X(1,1,13),DT19XD(1,1,1))
EQUIVALENCE (DT19Y(1,1,1),DT19YA(1,1,1)),(DT19Y(1,1,5),
A DT19YB(1,1,1)),(DT19Y(1,1,9),DT19YC(1,1,1)),
B (DT19Y(1,1,13),DT19YD(1,1,1))
DATA SA/0.3E0/
DATA INCXS/1, 2, -2, -1/
DATA INCYS/1, -2, 1, -2/
DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/
DATA NS/0, 1, 2, 4/
DATA DX1/0.6E0, 0.1E0, -0.5E0, 0.8E0, 0.9E0, -0.3E0,
+ -0.4E0/
DATA DY1/0.5E0, -0.9E0, 0.3E0, 0.7E0, -0.6E0, 0.2E0,
+ 0.8E0/
DATA DT7/0.0E0, 0.30E0, 0.21E0, 0.62E0, 0.0E0,
+ 0.30E0, -0.07E0, 0.85E0, 0.0E0, 0.30E0, -0.79E0,
+ -0.74E0, 0.0E0, 0.30E0, 0.33E0, 1.27E0/
DATA ST7B/ .1, .4, .31, .72, .1, .4, .03, .95,
+ .1, .4, -.69, -.64, .1, .4, .43, 1.37/
DATA DT8/0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.68E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.68E0, -0.87E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.68E0, -0.87E0, 0.15E0,
+ 0.94E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.68E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.35E0, -0.9E0, 0.48E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.38E0, -0.9E0, 0.57E0, 0.7E0, -0.75E0,
+ 0.2E0, 0.98E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.68E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.35E0, -0.72E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.38E0,
+ -0.63E0, 0.15E0, 0.88E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.68E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.68E0, -0.9E0, 0.33E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.68E0, -0.9E0, 0.33E0, 0.7E0,
+ -0.75E0, 0.2E0, 1.04E0/
DATA DT10X/0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.5E0, -0.9E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.5E0, -0.9E0, 0.3E0, 0.7E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.3E0, 0.1E0, 0.5E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.8E0, 0.1E0, -0.6E0,
+ 0.8E0, 0.3E0, -0.3E0, 0.5E0, 0.6E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, -0.9E0,
+ 0.1E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.7E0,
+ 0.1E0, 0.3E0, 0.8E0, -0.9E0, -0.3E0, 0.5E0,
+ 0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.5E0, 0.3E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.5E0, 0.3E0, -0.6E0, 0.8E0, 0.0E0, 0.0E0,
+ 0.0E0/
DATA DT10Y/0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.6E0, 0.1E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.6E0, 0.1E0, -0.5E0, 0.8E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, -0.5E0, -0.9E0, 0.6E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, -0.4E0, -0.9E0, 0.9E0,
+ 0.7E0, -0.5E0, 0.2E0, 0.6E0, 0.5E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.6E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, -0.5E0,
+ 0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ -0.4E0, 0.9E0, -0.5E0, 0.6E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.6E0, -0.9E0, 0.1E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.6E0, -0.9E0, 0.1E0, 0.7E0,
+ -0.5E0, 0.2E0, 0.8E0/
DATA SSIZE1/0.0E0, 0.3E0, 1.6E0, 3.2E0/
DATA SSIZE2/0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0,
+ 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0,
+ 1.17E0, 1.17E0, 1.17E0/
DATA SSIZE3/ .1, .4, 1.7, 3.3 /
*
* FOR DROTM
*
DATA DPAR/-2.E0, 0.E0,0.E0,0.E0,0.E0,
A -1.E0, 2.E0, -3.E0, -4.E0, 5.E0,
B 0.E0, 0.E0, 2.E0, -3.E0, 0.E0,
C 1.E0, 5.E0, 2.E0, 0.E0, -4.E0/
* TRUE X RESULTS F0R ROTATIONS DROTM
DATA DT19XA/.6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
A .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
B .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
C .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
D .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
E -.8E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
F -.9E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
G 3.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
H .6E0, .1E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
I -.8E0, 3.8E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
J -.9E0, 2.8E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
K 3.5E0, -.4E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
L .6E0, .1E0, -.5E0, .8E0, 0.E0,0.E0,0.E0,
M -.8E0, 3.8E0, -2.2E0, -1.2E0, 0.E0,0.E0,0.E0,
N -.9E0, 2.8E0, -1.4E0, -1.3E0, 0.E0,0.E0,0.E0,
O 3.5E0, -.4E0, -2.2E0, 4.7E0, 0.E0,0.E0,0.E0/
*
DATA DT19XB/.6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
A .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
B .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
C .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
D .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
E -.8E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
F -.9E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
G 3.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
H .6E0, .1E0, -.5E0, 0.E0,0.E0,0.E0,0.E0,
I 0.E0, .1E0, -3.0E0, 0.E0,0.E0,0.E0,0.E0,
J -.3E0, .1E0, -2.0E0, 0.E0,0.E0,0.E0,0.E0,
K 3.3E0, .1E0, -2.0E0, 0.E0,0.E0,0.E0,0.E0,
L .6E0, .1E0, -.5E0, .8E0, .9E0, -.3E0, -.4E0,
M -2.0E0, .1E0, 1.4E0, .8E0, .6E0, -.3E0, -2.8E0,
N -1.8E0, .1E0, 1.3E0, .8E0, 0.E0, -.3E0, -1.9E0,
O 3.8E0, .1E0, -3.1E0, .8E0, 4.8E0, -.3E0, -1.5E0 /
*
DATA DT19XC/.6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
A .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
B .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
C .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
D .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
E -.8E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
F -.9E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
G 3.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
H .6E0, .1E0, -.5E0, 0.E0,0.E0,0.E0,0.E0,
I 4.8E0, .1E0, -3.0E0, 0.E0,0.E0,0.E0,0.E0,
J 3.3E0, .1E0, -2.0E0, 0.E0,0.E0,0.E0,0.E0,
K 2.1E0, .1E0, -2.0E0, 0.E0,0.E0,0.E0,0.E0,
L .6E0, .1E0, -.5E0, .8E0, .9E0, -.3E0, -.4E0,
M -1.6E0, .1E0, -2.2E0, .8E0, 5.4E0, -.3E0, -2.8E0,
N -1.5E0, .1E0, -1.4E0, .8E0, 3.6E0, -.3E0, -1.9E0,
O 3.7E0, .1E0, -2.2E0, .8E0, 3.6E0, -.3E0, -1.5E0 /
*
DATA DT19XD/.6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
A .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
B .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
C .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
D .6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
E -.8E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
F -.9E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
G 3.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
H .6E0, .1E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
I -.8E0, -1.0E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
J -.9E0, -.8E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
K 3.5E0, .8E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
L .6E0, .1E0, -.5E0, .8E0, 0.E0,0.E0,0.E0,
M -.8E0, -1.0E0, 1.4E0, -1.6E0, 0.E0,0.E0,0.E0,
N -.9E0, -.8E0, 1.3E0, -1.6E0, 0.E0,0.E0,0.E0,
O 3.5E0, .8E0, -3.1E0, 4.8E0, 0.E0,0.E0,0.E0/
* TRUE Y RESULTS FOR ROTATIONS DROTM
DATA DT19YA/.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
A .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
B .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
C .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
D .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
E .7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
F 1.7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
G -2.6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
H .5E0, -.9E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
I .7E0, -4.8E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
J 1.7E0, -.7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
K -2.6E0, 3.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
L .5E0, -.9E0, .3E0, .7E0, 0.E0,0.E0,0.E0,
M .7E0, -4.8E0, 3.0E0, 1.1E0, 0.E0,0.E0,0.E0,
N 1.7E0, -.7E0, -.7E0, 2.3E0, 0.E0,0.E0,0.E0,
O -2.6E0, 3.5E0, -.7E0, -3.6E0, 0.E0,0.E0,0.E0/
*
DATA DT19YB/.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
A .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
B .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
C .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
D .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
E .7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
F 1.7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
G -2.6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
H .5E0, -.9E0, .3E0, 0.E0,0.E0,0.E0,0.E0,
I 4.0E0, -.9E0, -.3E0, 0.E0,0.E0,0.E0,0.E0,
J -.5E0, -.9E0, 1.5E0, 0.E0,0.E0,0.E0,0.E0,
K -1.5E0, -.9E0, -1.8E0, 0.E0,0.E0,0.E0,0.E0,
L .5E0, -.9E0, .3E0, .7E0, -.6E0, .2E0, .8E0,
M 3.7E0, -.9E0, -1.2E0, .7E0, -1.5E0, .2E0, 2.2E0,
N -.3E0, -.9E0, 2.1E0, .7E0, -1.6E0, .2E0, 2.0E0,
O -1.6E0, -.9E0, -2.1E0, .7E0, 2.9E0, .2E0, -3.8E0 /
*
DATA DT19YC/.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
A .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
B .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
C .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
D .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
E .7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
F 1.7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
G -2.6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
H .5E0, -.9E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
I 4.0E0, -6.3E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
J -.5E0, .3E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
K -1.5E0, 3.0E0, 0.E0,0.E0,0.E0,0.E0,0.E0,
L .5E0, -.9E0, .3E0, .7E0, 0.E0,0.E0,0.E0,
M 3.7E0, -7.2E0, 3.0E0, 1.7E0, 0.E0,0.E0,0.E0,
N -.3E0, .9E0, -.7E0, 1.9E0, 0.E0,0.E0,0.E0,
O -1.6E0, 2.7E0, -.7E0, -3.4E0, 0.E0,0.E0,0.E0/
*
DATA DT19YD/.5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
A .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
B .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
C .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
D .5E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
E .7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
F 1.7E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
G -2.6E0, 0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
H .5E0, -.9E0, .3E0, 0.E0,0.E0,0.E0,0.E0,
I .7E0, -.9E0, 1.2E0, 0.E0,0.E0,0.E0,0.E0,
J 1.7E0, -.9E0, .5E0, 0.E0,0.E0,0.E0,0.E0,
K -2.6E0, -.9E0, -1.3E0, 0.E0,0.E0,0.E0,0.E0,
L .5E0, -.9E0, .3E0, .7E0, -.6E0, .2E0, .8E0,
M .7E0, -.9E0, 1.2E0, .7E0, -1.5E0, .2E0, 1.6E0,
N 1.7E0, -.9E0, .5E0, .7E0, -1.6E0, .2E0, 2.4E0,
O -2.6E0, -.9E0, -1.3E0, .7E0, 2.9E0, .2E0, -4.0E0 /
*
* .. Executable Statements ..
*
DO 120 KI = 1, 4
INCX = INCXS(KI)
INCY = INCYS(KI)
MX = ABS(INCX)
MY = ABS(INCY)
*
DO 100 KN = 1, 4
N = NS(KN)
KSIZE = MIN(2,KN)
LENX = LENS(KN,MX)
LENY = LENS(KN,MY)
* .. Initialize all argument arrays ..
DO 20 I = 1, 7
SX(I) = DX1(I)
SY(I) = DY1(I)
20 CONTINUE
*
IF (ICASE.EQ.1) THEN
* .. SDOT ..
CALL STEST1(SDOT(N,SX,INCX,SY,INCY),DT7(KN,KI),SSIZE1(KN)
+ ,SFAC)
ELSE IF (ICASE.EQ.2) THEN
* .. SAXPY ..
CALL SAXPY(N,SA,SX,INCX,SY,INCY)
DO 40 J = 1, LENY
STY(J) = DT8(J,KN,KI)
40 CONTINUE
CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
ELSE IF (ICASE.EQ.5) THEN
* .. SCOPY ..
DO 60 I = 1, 7
STY(I) = DT10Y(I,KN,KI)
60 CONTINUE
CALL SCOPY(N,SX,INCX,SY,INCY)
CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0E0)
IF (KI.EQ.1) THEN
SX0(1) = 42.0E0
SY0(1) = 43.0E0
IF (N.EQ.0) THEN
STY0(1) = SY0(1)
ELSE
STY0(1) = SX0(1)
END IF
LINCX = INCX
INCX = 0
LINCY = INCY
INCY = 0
CALL SCOPY(N,SX0,INCX,SY0,INCY)
CALL STEST(1,SY0,STY0,SSIZE2(1,1),1.0E0)
INCX = LINCX
INCY = LINCY
END IF
ELSE IF (ICASE.EQ.6) THEN
* .. SSWAP ..
CALL SSWAP(N,SX,INCX,SY,INCY)
DO 80 I = 1, 7
STX(I) = DT10X(I,KN,KI)
STY(I) = DT10Y(I,KN,KI)
80 CONTINUE
CALL STEST(LENX,SX,STX,SSIZE2(1,1),1.0E0)
CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0E0)
ELSEIF (ICASE.EQ.12) THEN
* .. SROTM ..
KNI=KN+4*(KI-1)
DO KPAR=1,4
DO I=1,7
SX(I) = DX1(I)
SY(I) = DY1(I)
STX(I)= DT19X(I,KPAR,KNI)
STY(I)= DT19Y(I,KPAR,KNI)
END DO
*
DO I=1,5
DTEMP(I) = DPAR(I,KPAR)
END DO
*
DO I=1,LENX
SSIZE(I)=STX(I)
END DO
* SEE REMARK ABOVE ABOUT DT11X(1,2,7)
* AND DT11X(5,3,8).
IF ((KPAR .EQ. 2) .AND. (KNI .EQ. 7))
$ SSIZE(1) = 2.4E0
IF ((KPAR .EQ. 3) .AND. (KNI .EQ. 8))
$ SSIZE(5) = 1.8E0
*
CALL SROTM(N,SX,INCX,SY,INCY,DTEMP)
CALL STEST(LENX,SX,STX,SSIZE,SFAC)
CALL STEST(LENY,SY,STY,STY,SFAC)
END DO
ELSEIF (ICASE.EQ.13) THEN
* .. SDSROT ..
CALL STEST1 (SDSDOT(N,.1,SX,INCX,SY,INCY),
$ ST7B(KN,KI),SSIZE3(KN),SFAC)
ELSE
WRITE (NOUT,*) ' Shouldn''t be here in CHECK2'
STOP
END IF
100 CONTINUE
120 CONTINUE
RETURN
*
* End of CHECK2
*
END
SUBROUTINE CHECK3(SFAC)
* .. Parameters ..
INTEGER NOUT
PARAMETER (NOUT=6)
* .. Scalar Arguments ..
REAL SFAC
* .. Scalars in Common ..
INTEGER ICASE, INCX, INCY, N
LOGICAL PASS
* .. Local Scalars ..
REAL SC, SS
INTEGER I, K, KI, KN, KSIZE, LENX, LENY, MX, MY
* .. Local Arrays ..
REAL COPYX(5), COPYY(5), DT9X(7,4,4), DT9Y(7,4,4),
+ DX1(7), DY1(7), MWPC(11), MWPS(11), MWPSTX(5),
+ MWPSTY(5), MWPTX(11,5), MWPTY(11,5), MWPX(5),
+ MWPY(5), SSIZE2(14,2), STX(7), STY(7), SX(7),
+ SY(7)
INTEGER INCXS(4), INCYS(4), LENS(4,2), MWPINX(11),
+ MWPINY(11), MWPN(11), NS(4)
* .. External Subroutines ..
EXTERNAL SROT, STEST
* .. Intrinsic Functions ..
INTRINSIC ABS, MIN
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
* .. Data statements ..
DATA INCXS/1, 2, -2, -1/
DATA INCYS/1, -2, 1, -2/
DATA LENS/1, 1, 2, 4, 1, 1, 3, 7/
DATA NS/0, 1, 2, 4/
DATA DX1/0.6E0, 0.1E0, -0.5E0, 0.8E0, 0.9E0, -0.3E0,
+ -0.4E0/
DATA DY1/0.5E0, -0.9E0, 0.3E0, 0.7E0, -0.6E0, 0.2E0,
+ 0.8E0/
DATA SC, SS/0.8E0, 0.6E0/
DATA DT9X/0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.78E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.78E0, -0.46E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.78E0, -0.46E0, -0.22E0,
+ 1.06E0, 0.0E0, 0.0E0, 0.0E0, 0.6E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.78E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.66E0, 0.1E0, -0.1E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.96E0, 0.1E0, -0.76E0, 0.8E0, 0.90E0,
+ -0.3E0, -0.02E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.78E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, -0.06E0, 0.1E0,
+ -0.1E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.90E0,
+ 0.1E0, -0.22E0, 0.8E0, 0.18E0, -0.3E0, -0.02E0,
+ 0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.78E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.78E0, 0.26E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.78E0, 0.26E0, -0.76E0, 1.12E0,
+ 0.0E0, 0.0E0, 0.0E0/
DATA DT9Y/0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.04E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.04E0, -0.78E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.04E0, -0.78E0, 0.54E0,
+ 0.08E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.04E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.7E0,
+ -0.9E0, -0.12E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.64E0, -0.9E0, -0.30E0, 0.7E0, -0.18E0, 0.2E0,
+ 0.28E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.04E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.7E0, -1.08E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.64E0, -1.26E0,
+ 0.54E0, 0.20E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.04E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.04E0, -0.9E0, 0.18E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.04E0, -0.9E0, 0.18E0, 0.7E0,
+ -0.18E0, 0.2E0, 0.16E0/
DATA SSIZE2/0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
+ 0.0E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0,
+ 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0,
+ 1.17E0, 1.17E0, 1.17E0/
* .. Executable Statements ..
*
DO 60 KI = 1, 4
INCX = INCXS(KI)
INCY = INCYS(KI)
MX = ABS(INCX)
MY = ABS(INCY)
*
DO 40 KN = 1, 4
N = NS(KN)
KSIZE = MIN(2,KN)
LENX = LENS(KN,MX)
LENY = LENS(KN,MY)
*
IF (ICASE.EQ.4) THEN
* .. SROT ..
DO 20 I = 1, 7
SX(I) = DX1(I)
SY(I) = DY1(I)
STX(I) = DT9X(I,KN,KI)
STY(I) = DT9Y(I,KN,KI)
20 CONTINUE
CALL SROT(N,SX,INCX,SY,INCY,SC,SS)
CALL STEST(LENX,SX,STX,SSIZE2(1,KSIZE),SFAC)
CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
ELSE
WRITE (NOUT,*) ' Shouldn''t be here in CHECK3'
STOP
END IF
40 CONTINUE
60 CONTINUE
*
MWPC(1) = 1
DO 80 I = 2, 11
MWPC(I) = 0
80 CONTINUE
MWPS(1) = 0
DO 100 I = 2, 6
MWPS(I) = 1
100 CONTINUE
DO 120 I = 7, 11
MWPS(I) = -1
120 CONTINUE
MWPINX(1) = 1
MWPINX(2) = 1
MWPINX(3) = 1
MWPINX(4) = -1
MWPINX(5) = 1
MWPINX(6) = -1
MWPINX(7) = 1
MWPINX(8) = 1
MWPINX(9) = -1
MWPINX(10) = 1
MWPINX(11) = -1
MWPINY(1) = 1
MWPINY(2) = 1
MWPINY(3) = -1
MWPINY(4) = -1
MWPINY(5) = 2
MWPINY(6) = 1
MWPINY(7) = 1
MWPINY(8) = -1
MWPINY(9) = -1
MWPINY(10) = 2
MWPINY(11) = 1
DO 140 I = 1, 11
MWPN(I) = 5
140 CONTINUE
MWPN(5) = 3
MWPN(10) = 3
DO 160 I = 1, 5
MWPX(I) = I
MWPY(I) = I
MWPTX(1,I) = I
MWPTY(1,I) = I
MWPTX(2,I) = I
MWPTY(2,I) = -I
MWPTX(3,I) = 6 - I
MWPTY(3,I) = I - 6
MWPTX(4,I) = I
MWPTY(4,I) = -I
MWPTX(6,I) = 6 - I
MWPTY(6,I) = I - 6
MWPTX(7,I) = -I
MWPTY(7,I) = I
MWPTX(8,I) = I - 6
MWPTY(8,I) = 6 - I
MWPTX(9,I) = -I
MWPTY(9,I) = I
MWPTX(11,I) = I - 6
MWPTY(11,I) = 6 - I
160 CONTINUE
MWPTX(5,1) = 1
MWPTX(5,2) = 3
MWPTX(5,3) = 5
MWPTX(5,4) = 4
MWPTX(5,5) = 5
MWPTY(5,1) = -1
MWPTY(5,2) = 2
MWPTY(5,3) = -2
MWPTY(5,4) = 4
MWPTY(5,5) = -3
MWPTX(10,1) = -1
MWPTX(10,2) = -3
MWPTX(10,3) = -5
MWPTX(10,4) = 4
MWPTX(10,5) = 5
MWPTY(10,1) = 1
MWPTY(10,2) = 2
MWPTY(10,3) = 2
MWPTY(10,4) = 4
MWPTY(10,5) = 3
DO 200 I = 1, 11
INCX = MWPINX(I)
INCY = MWPINY(I)
DO 180 K = 1, 5
COPYX(K) = MWPX(K)
COPYY(K) = MWPY(K)
MWPSTX(K) = MWPTX(I,K)
MWPSTY(K) = MWPTY(I,K)
180 CONTINUE
CALL SROT(MWPN(I),COPYX,INCX,COPYY,INCY,MWPC(I),MWPS(I))
CALL STEST(5,COPYX,MWPSTX,MWPSTX,SFAC)
CALL STEST(5,COPYY,MWPSTY,MWPSTY,SFAC)
200 CONTINUE
RETURN
*
* End of CHECK3
*
END
SUBROUTINE STEST(LEN,SCOMP,STRUE,SSIZE,SFAC)
* ********************************* STEST **************************
*
* THIS SUBR COMPARES ARRAYS SCOMP() AND STRUE() OF LENGTH LEN TO
* SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE
* NEGLIGIBLE.
*
* C. L. LAWSON, JPL, 1974 DEC 10
*
* .. Parameters ..
INTEGER NOUT
REAL ZERO
PARAMETER (NOUT=6, ZERO=0.0E0)
* .. Scalar Arguments ..
REAL SFAC
INTEGER LEN
* .. Array Arguments ..
REAL SCOMP(LEN), SSIZE(LEN), STRUE(LEN)
* .. Scalars in Common ..
INTEGER ICASE, INCX, INCY, N
LOGICAL PASS
* .. Local Scalars ..
REAL SD
INTEGER I
* .. External Functions ..
REAL SDIFF
EXTERNAL SDIFF
* .. Intrinsic Functions ..
INTRINSIC ABS
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
* .. Executable Statements ..
*
DO 40 I = 1, LEN
SD = SCOMP(I) - STRUE(I)
IF (ABS(SFAC*SD) .LE. ABS(SSIZE(I))*EPSILON(ZERO))
+ GO TO 40
*
* HERE SCOMP(I) IS NOT CLOSE TO STRUE(I).
*
IF ( .NOT. PASS) GO TO 20
* PRINT FAIL MESSAGE AND HEADER.
PASS = .FALSE.
WRITE (NOUT,99999)
WRITE (NOUT,99998)
20 WRITE (NOUT,99997) ICASE, N, INCX, INCY, I, SCOMP(I),
+ STRUE(I), SD, SSIZE(I)
40 CONTINUE
RETURN
*
99999 FORMAT (' FAIL')
99998 FORMAT (/' CASE N INCX INCY I ',
+ ' COMP(I) TRUE(I) DIFFERENCE',
+ ' SIZE(I)',/1X)
99997 FORMAT (1X,I4,I3,2I5,I3,2E36.8,2E12.4)
*
* End of STEST
*
END
SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC)
* ************************* STEST1 *****************************
*
* THIS IS AN INTERFACE SUBROUTINE TO ACCOMMODATE THE FORTRAN
* REQUIREMENT THAT WHEN A DUMMY ARGUMENT IS AN ARRAY, THE
* ACTUAL ARGUMENT MUST ALSO BE AN ARRAY OR AN ARRAY ELEMENT.
*
* C.L. LAWSON, JPL, 1978 DEC 6
*
* .. Scalar Arguments ..
REAL SCOMP1, SFAC, STRUE1
* .. Array Arguments ..
REAL SSIZE(*)
* .. Local Arrays ..
REAL SCOMP(1), STRUE(1)
* .. External Subroutines ..
EXTERNAL STEST
* .. Executable Statements ..
*
SCOMP(1) = SCOMP1
STRUE(1) = STRUE1
CALL STEST(1,SCOMP,STRUE,SSIZE,SFAC)
*
RETURN
*
* End of STEST1
*
END
REAL FUNCTION SDIFF(SA,SB)
* ********************************* SDIFF **************************
* COMPUTES DIFFERENCE OF TWO NUMBERS. C. L. LAWSON, JPL 1974 FEB 15
*
* .. Scalar Arguments ..
REAL SA, SB
* .. Executable Statements ..
SDIFF = SA - SB
RETURN
*
* End of SDIFF
*
END
SUBROUTINE ITEST1(ICOMP,ITRUE)
* ********************************* ITEST1 *************************
*
* THIS SUBROUTINE COMPARES THE VARIABLES ICOMP AND ITRUE FOR
* EQUALITY.
* C. L. LAWSON, JPL, 1974 DEC 10
*
* .. Parameters ..
INTEGER NOUT
PARAMETER (NOUT=6)
* .. Scalar Arguments ..
INTEGER ICOMP, ITRUE
* .. Scalars in Common ..
INTEGER ICASE, INCX, INCY, N
LOGICAL PASS
* .. Local Scalars ..
INTEGER ID
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, PASS
* .. Executable Statements ..
*
IF (ICOMP.EQ.ITRUE) GO TO 40
*
* HERE ICOMP IS NOT EQUAL TO ITRUE.
*
IF ( .NOT. PASS) GO TO 20
* PRINT FAIL MESSAGE AND HEADER.
PASS = .FALSE.
WRITE (NOUT,99999)
WRITE (NOUT,99998)
20 ID = ICOMP - ITRUE
WRITE (NOUT,99997) ICASE, N, INCX, INCY, ICOMP, ITRUE, ID
40 CONTINUE
RETURN
*
99999 FORMAT (' FAIL')
99998 FORMAT (/' CASE N INCX INCY ',
+ ' COMP TRUE DIFFERENCE',
+ /1X)
99997 FORMAT (1X,I4,I3,2I5,2I36,I12)
*
* End of ITEST1
*
END
SUBROUTINE SB1NRM2(N,INCX,THRESH)
* Compare NRM2 with a reference computation using combinations
* of the following values:
*
* 0, very small, small, ulp, 1, 1/ulp, big, very big, infinity, NaN
*
* one of these values is used to initialize x(1) and x(2:N) is
* filled with random values from [-1,1] scaled by another of
* these values.
*
* This routine is adapted from the test suite provided by
* Anderson E. (2017)
* Algorithm 978: Safe Scaling in the Level 1 BLAS
* ACM Trans Math Softw 44:1--28
* https://doi.org/10.1145/3061665
*
IMPLICIT NONE
* .. Scalar Arguments ..
INTEGER INCX, N
REAL THRESH
*
* =====================================================================
* .. Parameters ..
INTEGER NMAX, NOUT, NV
PARAMETER (NMAX=20, NOUT=6, NV=10)
REAL HALF, ONE, TWO, ZERO
PARAMETER (HALF=0.5E+0, ONE=1.0E+0, TWO= 2.0E+0,
& ZERO=0.0E+0)
* .. External Functions ..
REAL SNRM2
EXTERNAL SNRM2
* .. Intrinsic Functions ..
INTRINSIC ABS, MAX, MIN, REAL, SQRT
* .. Model parameters ..
REAL BIGNUM, SAFMAX, SAFMIN, SMLNUM, ULP
PARAMETER (BIGNUM=0.1014120480E+32,
& SAFMAX=0.8507059173E+38,
& SAFMIN=0.1175494351E-37,
& SMLNUM=0.9860761315E-31,
& ULP=0.1192092896E-06)
* .. Local Scalars ..
REAL ROGUE, SNRM, TRAT, V0, V1, WORKSSQ, Y1, Y2,
& YMAX, YMIN, YNRM, ZNRM
INTEGER I, IV, IW, IX
LOGICAL FIRST
* .. Local Arrays ..
REAL VALUES(NV), WORK(NMAX), X(NMAX), Z(NMAX)
* .. Executable Statements ..
VALUES(1) = ZERO
VALUES(2) = TWO*SAFMIN
VALUES(3) = SMLNUM
VALUES(4) = ULP
VALUES(5) = ONE
VALUES(6) = ONE / ULP
VALUES(7) = BIGNUM
VALUES(8) = SAFMAX
VALUES(9) = SXVALS(V0,2)
VALUES(10) = SXVALS(V0,3)
ROGUE = -1234.5678E+0
FIRST = .TRUE.
*
* Check that the arrays are large enough
*
IF (N*ABS(INCX).GT.NMAX) THEN
WRITE (NOUT,99) "SNRM2", NMAX, INCX, N, N*ABS(INCX)
RETURN
END IF
*
* Zero-sized inputs are tested in STEST1.
IF (N.LE.0) THEN
RETURN
END IF
*
* Generate (N-1) values in (-1,1).
*
DO I = 2, N
CALL RANDOM_NUMBER(WORK(I))
WORK(I) = ONE - TWO*WORK(I)
END DO
*
* Compute the sum of squares of the random values
* by an unscaled algorithm.
*
WORKSSQ = ZERO
DO I = 2, N
WORKSSQ = WORKSSQ + WORK(I)*WORK(I)
END DO
*
* Construct the test vector with one known value
* and the rest from the random work array multiplied
* by a scaling factor.
*
DO IV = 1, NV
V0 = VALUES(IV)
IF (ABS(V0).GT.ONE) THEN
V0 = V0*HALF
END IF
Z(1) = V0
DO IW = 1, NV
V1 = VALUES(IW)
IF (ABS(V1).GT.ONE) THEN
V1 = (V1*HALF) / SQRT(REAL(N))
END IF
DO I = 2, N
Z(I) = V1*WORK(I)
END DO
*
* Compute the expected value of the 2-norm
*
Y1 = ABS(V0)
IF (N.GT.1) THEN
Y2 = ABS(V1)*SQRT(WORKSSQ)
ELSE
Y2 = ZERO
END IF
YMIN = MIN(Y1, Y2)
YMAX = MAX(Y1, Y2)
*
* Expected value is NaN if either is NaN. The test
* for YMIN == YMAX avoids further computation if both
* are infinity.
*
IF ((Y1.NE.Y1).OR.(Y2.NE.Y2)) THEN
* add to propagate NaN
YNRM = Y1 + Y2
ELSE IF (YMIN == YMAX) THEN
YNRM = SQRT(TWO)*YMAX
ELSE IF (YMAX == ZERO) THEN
YNRM = ZERO
ELSE
YNRM = YMAX*SQRT(ONE + (YMIN / YMAX)**2)
END IF
*
* Fill the input array to SNRM2 with steps of incx
*
DO I = 1, N
X(I) = ROGUE
END DO
IX = 1
IF (INCX.LT.0) IX = 1 - (N-1)*INCX
DO I = 1, N
X(IX) = Z(I)
IX = IX + INCX
END DO
*
* Call SNRM2 to compute the 2-norm
*
SNRM = SNRM2(N,X,INCX)
*
* Compare SNRM and ZNRM. Roundoff error grows like O(n)
* in this implementation so we scale the test ratio accordingly.
*
IF (INCX.EQ.0) THEN
ZNRM = SQRT(REAL(N))*ABS(X(1))
ELSE
ZNRM = YNRM
END IF
*
* The tests for NaN rely on the compiler not being overly
* aggressive and removing the statements altogether.
IF ((SNRM.NE.SNRM).OR.(ZNRM.NE.ZNRM)) THEN
IF ((SNRM.NE.SNRM).NEQV.(ZNRM.NE.ZNRM)) THEN
TRAT = ONE / ULP
ELSE
TRAT = ZERO
END IF
ELSE IF (SNRM == ZNRM) THEN
TRAT = ZERO
ELSE IF (ZNRM == ZERO) THEN
TRAT = SNRM / ULP
ELSE
TRAT = (ABS(SNRM-ZNRM) / ZNRM) / (REAL(N)*ULP)
END IF
IF ((TRAT.NE.TRAT).OR.(TRAT.GE.THRESH)) THEN
IF (FIRST) THEN
FIRST = .FALSE.
WRITE(NOUT,99999)
END IF
WRITE (NOUT,98) "SNRM2", N, INCX, IV, IW, TRAT
END IF
END DO
END DO
99999 FORMAT (' FAIL')
99 FORMAT ( ' Not enough space to test ', A6, ': NMAX = ',I6,
+ ', INCX = ',I6,/,' N = ',I6,', must be at least ',I6 )
98 FORMAT( 1X, A6, ': N=', I6,', INCX=', I4, ', IV=', I2, ', IW=',
+ I2, ', test=', E15.8 )
RETURN
CONTAINS
REAL FUNCTION SXVALS(XX,K)
* .. Scalar Arguments ..
REAL XX
INTEGER K
* .. Parameters ..
REAL ZERO
PARAMETER (ZERO=0.0E+0)
* .. Local Scalars ..
REAL X, Y, Z
* .. Intrinsic Functions ..
INTRINSIC HUGE
* .. Executable Statements ..
X = ZERO
Y = HUGE(XX)
Z = Y*Y
IF (K.EQ.1) THEN
X = -Z
ELSE IF (K.EQ.2) THEN
X = Z
ELSE IF (K.EQ.3) THEN
X = Z / Z
END IF
SXVALS = X
RETURN
END
END
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