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BLAS/testing/cblat1.c

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*> \brief \b CBLAT1
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* PROGRAM CBLAT1
*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
*> Test program for the COMPLEX Level 1 BLAS.
*> Based upon the original BLAS test routine together with:
*>
*> F06GAF Example Program Text
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup complex_blas_testing
*
* =====================================================================
PROGRAM CBLAT1
*
* -- 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, MODE, N
LOGICAL PASS
* .. Local Scalars ..
REAL SFAC
INTEGER IC
* .. External Subroutines ..
EXTERNAL CHECK1, CHECK2, HEADER
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
* .. Data statements ..
DATA SFAC/9.765625E-4/
* .. Executable Statements ..
WRITE (NOUT,99999)
DO 20 IC = 1, 10
ICASE = IC
CALL HEADER
*
* Initialize PASS, INCX, INCY, and MODE for a new case.
* The value 9999 for INCX, INCY or MODE will appear in the
* detailed output, if any, for cases that do not involve
* these parameters.
*
PASS = .TRUE.
INCX = 9999
INCY = 9999
MODE = 9999
IF (ICASE.LE.5) THEN
CALL CHECK2(SFAC)
ELSE IF (ICASE.GE.6) THEN
CALL CHECK1(SFAC)
END IF
* -- Print
IF (PASS) WRITE (NOUT,99998)
20 CONTINUE
STOP
*
99999 FORMAT (' Complex BLAS Test Program Results',/1X)
99998 FORMAT (' ----- PASS -----')
*
* End of CBLAT1
*
END
SUBROUTINE HEADER
* .. Parameters ..
INTEGER NOUT
PARAMETER (NOUT=6)
* .. Scalars in Common ..
INTEGER ICASE, INCX, INCY, MODE, N
LOGICAL PASS
* .. Local Arrays ..
CHARACTER*6 L(10)
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
* .. Data statements ..
DATA L(1)/'CDOTC '/
DATA L(2)/'CDOTU '/
DATA L(3)/'CAXPY '/
DATA L(4)/'CCOPY '/
DATA L(5)/'CSWAP '/
DATA L(6)/'SCNRM2'/
DATA L(7)/'SCASUM'/
DATA L(8)/'CSCAL '/
DATA L(9)/'CSSCAL'/
DATA L(10)/'ICAMAX'/
* .. Executable Statements ..
WRITE (NOUT,99999) ICASE, L(ICASE)
RETURN
*
99999 FORMAT (/' Test of subprogram number',I3,12X,A6)
*
* End of HEADER
*
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, MODE, N
LOGICAL PASS
* .. Local Scalars ..
COMPLEX CA
REAL SA
INTEGER I, IX, J, LEN, NP1
* .. Local Arrays ..
COMPLEX CTRUE5(8,5,2), CTRUE6(8,5,2), CV(8,5,2), CVR(8),
+ CX(8), CXR(15), MWPCS(5), MWPCT(5)
REAL STRUE2(5), STRUE4(5)
INTEGER ITRUE3(5), ITRUEC(5)
* .. External Functions ..
REAL SCASUM, SCNRM2
INTEGER ICAMAX
EXTERNAL SCASUM, SCNRM2, ICAMAX
* .. External Subroutines ..
EXTERNAL CB1NRM2, CSCAL, CSSCAL, CTEST, ITEST1, STEST1
* .. Intrinsic Functions ..
INTRINSIC MAX
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
* .. Data statements ..
DATA SA, CA/0.3E0, (0.4E0,-0.7E0)/
DATA ((CV(I,J,1),I=1,8),J=1,5)/(0.1E0,0.1E0),
+ (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0),
+ (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0),
+ (1.0E0,2.0E0), (0.3E0,-0.4E0), (3.0E0,4.0E0),
+ (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0),
+ (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0),
+ (0.1E0,-0.3E0), (0.5E0,-0.1E0), (5.0E0,6.0E0),
+ (5.0E0,6.0E0), (5.0E0,6.0E0), (5.0E0,6.0E0),
+ (5.0E0,6.0E0), (5.0E0,6.0E0), (0.1E0,0.1E0),
+ (-0.6E0,0.1E0), (0.1E0,-0.3E0), (7.0E0,8.0E0),
+ (7.0E0,8.0E0), (7.0E0,8.0E0), (7.0E0,8.0E0),
+ (7.0E0,8.0E0), (0.3E0,0.1E0), (0.5E0,0.0E0),
+ (0.0E0,0.5E0), (0.0E0,0.2E0), (2.0E0,3.0E0),
+ (2.0E0,3.0E0), (2.0E0,3.0E0), (2.0E0,3.0E0)/
DATA ((CV(I,J,2),I=1,8),J=1,5)/(0.1E0,0.1E0),
+ (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0),
+ (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0),
+ (4.0E0,5.0E0), (0.3E0,-0.4E0), (6.0E0,7.0E0),
+ (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0),
+ (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0),
+ (0.1E0,-0.3E0), (8.0E0,9.0E0), (0.5E0,-0.1E0),
+ (2.0E0,5.0E0), (2.0E0,5.0E0), (2.0E0,5.0E0),
+ (2.0E0,5.0E0), (2.0E0,5.0E0), (0.1E0,0.1E0),
+ (3.0E0,6.0E0), (-0.6E0,0.1E0), (4.0E0,7.0E0),
+ (0.1E0,-0.3E0), (7.0E0,2.0E0), (7.0E0,2.0E0),
+ (7.0E0,2.0E0), (0.3E0,0.1E0), (5.0E0,8.0E0),
+ (0.5E0,0.0E0), (6.0E0,9.0E0), (0.0E0,0.5E0),
+ (8.0E0,3.0E0), (0.0E0,0.2E0), (9.0E0,4.0E0)/
DATA CVR/(8.0E0,8.0E0), (-7.0E0,-7.0E0),
+ (9.0E0,9.0E0), (5.0E0,5.0E0), (9.0E0,9.0E0),
+ (8.0E0,8.0E0), (7.0E0,7.0E0), (7.0E0,7.0E0)/
DATA STRUE2/0.0E0, 0.5E0, 0.6E0, 0.7E0, 0.8E0/
DATA STRUE4/0.0E0, 0.7E0, 1.0E0, 1.3E0, 1.6E0/
DATA ((CTRUE5(I,J,1),I=1,8),J=1,5)/(0.1E0,0.1E0),
+ (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0),
+ (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0),
+ (1.0E0,2.0E0), (-0.16E0,-0.37E0), (3.0E0,4.0E0),
+ (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0),
+ (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0),
+ (-0.17E0,-0.19E0), (0.13E0,-0.39E0),
+ (5.0E0,6.0E0), (5.0E0,6.0E0), (5.0E0,6.0E0),
+ (5.0E0,6.0E0), (5.0E0,6.0E0), (5.0E0,6.0E0),
+ (0.11E0,-0.03E0), (-0.17E0,0.46E0),
+ (-0.17E0,-0.19E0), (7.0E0,8.0E0), (7.0E0,8.0E0),
+ (7.0E0,8.0E0), (7.0E0,8.0E0), (7.0E0,8.0E0),
+ (0.19E0,-0.17E0), (0.20E0,-0.35E0),
+ (0.35E0,0.20E0), (0.14E0,0.08E0),
+ (2.0E0,3.0E0), (2.0E0,3.0E0), (2.0E0,3.0E0),
+ (2.0E0,3.0E0)/
DATA ((CTRUE5(I,J,2),I=1,8),J=1,5)/(0.1E0,0.1E0),
+ (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0),
+ (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0),
+ (4.0E0,5.0E0), (-0.16E0,-0.37E0), (6.0E0,7.0E0),
+ (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0),
+ (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0),
+ (-0.17E0,-0.19E0), (8.0E0,9.0E0),
+ (0.13E0,-0.39E0), (2.0E0,5.0E0), (2.0E0,5.0E0),
+ (2.0E0,5.0E0), (2.0E0,5.0E0), (2.0E0,5.0E0),
+ (0.11E0,-0.03E0), (3.0E0,6.0E0),
+ (-0.17E0,0.46E0), (4.0E0,7.0E0),
+ (-0.17E0,-0.19E0), (7.0E0,2.0E0), (7.0E0,2.0E0),
+ (7.0E0,2.0E0), (0.19E0,-0.17E0), (5.0E0,8.0E0),
+ (0.20E0,-0.35E0), (6.0E0,9.0E0),
+ (0.35E0,0.20E0), (8.0E0,3.0E0),
+ (0.14E0,0.08E0), (9.0E0,4.0E0)/
DATA ((CTRUE6(I,J,1),I=1,8),J=1,5)/(0.1E0,0.1E0),
+ (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0),
+ (1.0E0,2.0E0), (1.0E0,2.0E0), (1.0E0,2.0E0),
+ (1.0E0,2.0E0), (0.09E0,-0.12E0), (3.0E0,4.0E0),
+ (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0),
+ (3.0E0,4.0E0), (3.0E0,4.0E0), (3.0E0,4.0E0),
+ (0.03E0,-0.09E0), (0.15E0,-0.03E0),
+ (5.0E0,6.0E0), (5.0E0,6.0E0), (5.0E0,6.0E0),
+ (5.0E0,6.0E0), (5.0E0,6.0E0), (5.0E0,6.0E0),
+ (0.03E0,0.03E0), (-0.18E0,0.03E0),
+ (0.03E0,-0.09E0), (7.0E0,8.0E0), (7.0E0,8.0E0),
+ (7.0E0,8.0E0), (7.0E0,8.0E0), (7.0E0,8.0E0),
+ (0.09E0,0.03E0), (0.15E0,0.00E0),
+ (0.00E0,0.15E0), (0.00E0,0.06E0), (2.0E0,3.0E0),
+ (2.0E0,3.0E0), (2.0E0,3.0E0), (2.0E0,3.0E0)/
DATA ((CTRUE6(I,J,2),I=1,8),J=1,5)/(0.1E0,0.1E0),
+ (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0),
+ (4.0E0,5.0E0), (4.0E0,5.0E0), (4.0E0,5.0E0),
+ (4.0E0,5.0E0), (0.09E0,-0.12E0), (6.0E0,7.0E0),
+ (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0),
+ (6.0E0,7.0E0), (6.0E0,7.0E0), (6.0E0,7.0E0),
+ (0.03E0,-0.09E0), (8.0E0,9.0E0),
+ (0.15E0,-0.03E0), (2.0E0,5.0E0), (2.0E0,5.0E0),
+ (2.0E0,5.0E0), (2.0E0,5.0E0), (2.0E0,5.0E0),
+ (0.03E0,0.03E0), (3.0E0,6.0E0),
+ (-0.18E0,0.03E0), (4.0E0,7.0E0),
+ (0.03E0,-0.09E0), (7.0E0,2.0E0), (7.0E0,2.0E0),
+ (7.0E0,2.0E0), (0.09E0,0.03E0), (5.0E0,8.0E0),
+ (0.15E0,0.00E0), (6.0E0,9.0E0), (0.00E0,0.15E0),
+ (8.0E0,3.0E0), (0.00E0,0.06E0), (9.0E0,4.0E0)/
DATA ITRUE3/0, 1, 2, 2, 2/
DATA ITRUEC/0, 1, 1, 1, 1/
* .. Executable Statements ..
DO 60 INCX = 1, 2
DO 40 NP1 = 1, 5
N = NP1 - 1
LEN = 2*MAX(N,1)
* .. Set vector arguments ..
DO 20 I = 1, LEN
CX(I) = CV(I,NP1,INCX)
20 CONTINUE
IF (ICASE.EQ.6) THEN
* .. SCNRM2 ..
* Test scaling when some entries are tiny or huge
CALL CB1NRM2(N,(INCX-2)*2,THRESH)
CALL CB1NRM2(N,INCX,THRESH)
* Test with hardcoded mid range entries
CALL STEST1(SCNRM2(N,CX,INCX),STRUE2(NP1),STRUE2(NP1),
+ SFAC)
ELSE IF (ICASE.EQ.7) THEN
* .. SCASUM ..
CALL STEST1(SCASUM(N,CX,INCX),STRUE4(NP1),STRUE4(NP1),
+ SFAC)
ELSE IF (ICASE.EQ.8) THEN
* .. CSCAL ..
CALL CSCAL(N,CA,CX,INCX)
CALL CTEST(LEN,CX,CTRUE5(1,NP1,INCX),CTRUE5(1,NP1,INCX),
+ SFAC)
ELSE IF (ICASE.EQ.9) THEN
* .. CSSCAL ..
CALL CSSCAL(N,SA,CX,INCX)
CALL CTEST(LEN,CX,CTRUE6(1,NP1,INCX),CTRUE6(1,NP1,INCX),
+ SFAC)
ELSE IF (ICASE.EQ.10) THEN
* .. ICAMAX ..
CALL ITEST1(ICAMAX(N,CX,INCX),ITRUE3(NP1))
DO 160 I = 1, LEN
CX(I) = (42.0E0,43.0E0)
160 CONTINUE
CALL ITEST1(ICAMAX(N,CX,INCX),ITRUEC(NP1))
ELSE
WRITE (NOUT,*) ' Shouldn''t be here in CHECK1'
STOP
END IF
*
40 CONTINUE
IF (ICASE.EQ.10) THEN
N = 8
IX = 1
DO 180 I = 1, N
CXR(IX) = CVR(I)
IX = IX + INCX
180 CONTINUE
CALL ITEST1(ICAMAX(N,CXR,INCX),3)
END IF
60 CONTINUE
*
INCX = 1
IF (ICASE.EQ.8) THEN
* CSCAL
* Add a test for alpha equal to zero.
CA = (0.0E0,0.0E0)
DO 80 I = 1, 5
MWPCT(I) = (0.0E0,0.0E0)
MWPCS(I) = (1.0E0,1.0E0)
80 CONTINUE
CALL CSCAL(5,CA,CX,INCX)
CALL CTEST(5,CX,MWPCT,MWPCS,SFAC)
ELSE IF (ICASE.EQ.9) THEN
* CSSCAL
* Add a test for alpha equal to zero.
SA = 0.0E0
DO 100 I = 1, 5
MWPCT(I) = (0.0E0,0.0E0)
MWPCS(I) = (1.0E0,1.0E0)
100 CONTINUE
CALL CSSCAL(5,SA,CX,INCX)
CALL CTEST(5,CX,MWPCT,MWPCS,SFAC)
* Add a test for alpha equal to one.
SA = 1.0E0
DO 120 I = 1, 5
MWPCT(I) = CX(I)
MWPCS(I) = CX(I)
120 CONTINUE
CALL CSSCAL(5,SA,CX,INCX)
CALL CTEST(5,CX,MWPCT,MWPCS,SFAC)
* Add a test for alpha equal to minus one.
SA = -1.0E0
DO 140 I = 1, 5
MWPCT(I) = -CX(I)
MWPCS(I) = -CX(I)
140 CONTINUE
CALL CSSCAL(5,SA,CX,INCX)
CALL CTEST(5,CX,MWPCT,MWPCS,SFAC)
END IF
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, MODE, N
LOGICAL PASS
* .. Local Scalars ..
COMPLEX CA
INTEGER I, J, KI, KN, KSIZE, LENX, LENY, LINCX, LINCY,
+ MX, MY
* .. Local Arrays ..
COMPLEX CDOT(1), CSIZE1(4), CSIZE2(7,2), CSIZE3(14),
+ CT10X(7,4,4), CT10Y(7,4,4), CT6(4,4), CT7(4,4),
+ CT8(7,4,4), CTY0(1), CX(7), CX0(1), CX1(7),
+ CY(7), CY0(1), CY1(7)
INTEGER INCXS(4), INCYS(4), LENS(4,2), NS(4)
* .. External Functions ..
COMPLEX CDOTC, CDOTU
EXTERNAL CDOTC, CDOTU
* .. External Subroutines ..
EXTERNAL CAXPY, CCOPY, CSWAP, CTEST
* .. Intrinsic Functions ..
INTRINSIC ABS, MIN
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
* .. Data statements ..
DATA CA/(0.4E0,-0.7E0)/
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 CX1/(0.7E0,-0.8E0), (-0.4E0,-0.7E0),
+ (-0.1E0,-0.9E0), (0.2E0,-0.8E0),
+ (-0.9E0,-0.4E0), (0.1E0,0.4E0), (-0.6E0,0.6E0)/
DATA CY1/(0.6E0,-0.6E0), (-0.9E0,0.5E0),
+ (0.7E0,-0.6E0), (0.1E0,-0.5E0), (-0.1E0,-0.2E0),
+ (-0.5E0,-0.3E0), (0.8E0,-0.7E0)/
DATA ((CT8(I,J,1),I=1,7),J=1,4)/(0.6E0,-0.6E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.32E0,-1.41E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.32E0,-1.41E0),
+ (-1.55E0,0.5E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.32E0,-1.41E0), (-1.55E0,0.5E0),
+ (0.03E0,-0.89E0), (-0.38E0,-0.96E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0)/
DATA ((CT8(I,J,2),I=1,7),J=1,4)/(0.6E0,-0.6E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.32E0,-1.41E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (-0.07E0,-0.89E0),
+ (-0.9E0,0.5E0), (0.42E0,-1.41E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.78E0,0.06E0), (-0.9E0,0.5E0),
+ (0.06E0,-0.13E0), (0.1E0,-0.5E0),
+ (-0.77E0,-0.49E0), (-0.5E0,-0.3E0),
+ (0.52E0,-1.51E0)/
DATA ((CT8(I,J,3),I=1,7),J=1,4)/(0.6E0,-0.6E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.32E0,-1.41E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (-0.07E0,-0.89E0),
+ (-1.18E0,-0.31E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.78E0,0.06E0), (-1.54E0,0.97E0),
+ (0.03E0,-0.89E0), (-0.18E0,-1.31E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0)/
DATA ((CT8(I,J,4),I=1,7),J=1,4)/(0.6E0,-0.6E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.32E0,-1.41E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.32E0,-1.41E0), (-0.9E0,0.5E0),
+ (0.05E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.32E0,-1.41E0),
+ (-0.9E0,0.5E0), (0.05E0,-0.6E0), (0.1E0,-0.5E0),
+ (-0.77E0,-0.49E0), (-0.5E0,-0.3E0),
+ (0.32E0,-1.16E0)/
DATA CT7/(0.0E0,0.0E0), (-0.06E0,-0.90E0),
+ (0.65E0,-0.47E0), (-0.34E0,-1.22E0),
+ (0.0E0,0.0E0), (-0.06E0,-0.90E0),
+ (-0.59E0,-1.46E0), (-1.04E0,-0.04E0),
+ (0.0E0,0.0E0), (-0.06E0,-0.90E0),
+ (-0.83E0,0.59E0), (0.07E0,-0.37E0),
+ (0.0E0,0.0E0), (-0.06E0,-0.90E0),
+ (-0.76E0,-1.15E0), (-1.33E0,-1.82E0)/
DATA CT6/(0.0E0,0.0E0), (0.90E0,0.06E0),
+ (0.91E0,-0.77E0), (1.80E0,-0.10E0),
+ (0.0E0,0.0E0), (0.90E0,0.06E0), (1.45E0,0.74E0),
+ (0.20E0,0.90E0), (0.0E0,0.0E0), (0.90E0,0.06E0),
+ (-0.55E0,0.23E0), (0.83E0,-0.39E0),
+ (0.0E0,0.0E0), (0.90E0,0.06E0), (1.04E0,0.79E0),
+ (1.95E0,1.22E0)/
DATA ((CT10X(I,J,1),I=1,7),J=1,4)/(0.7E0,-0.8E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.6E0,-0.6E0), (-0.9E0,0.5E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.6E0,-0.6E0),
+ (-0.9E0,0.5E0), (0.7E0,-0.6E0), (0.1E0,-0.5E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0)/
DATA ((CT10X(I,J,2),I=1,7),J=1,4)/(0.7E0,-0.8E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.7E0,-0.6E0), (-0.4E0,-0.7E0),
+ (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.8E0,-0.7E0),
+ (-0.4E0,-0.7E0), (-0.1E0,-0.2E0),
+ (0.2E0,-0.8E0), (0.7E0,-0.6E0), (0.1E0,0.4E0),
+ (0.6E0,-0.6E0)/
DATA ((CT10X(I,J,3),I=1,7),J=1,4)/(0.7E0,-0.8E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (-0.9E0,0.5E0), (-0.4E0,-0.7E0),
+ (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.1E0,-0.5E0),
+ (-0.4E0,-0.7E0), (0.7E0,-0.6E0), (0.2E0,-0.8E0),
+ (-0.9E0,0.5E0), (0.1E0,0.4E0), (0.6E0,-0.6E0)/
DATA ((CT10X(I,J,4),I=1,7),J=1,4)/(0.7E0,-0.8E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.6E0,-0.6E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.6E0,-0.6E0), (0.7E0,-0.6E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.6E0,-0.6E0),
+ (0.7E0,-0.6E0), (-0.1E0,-0.2E0), (0.8E0,-0.7E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0)/
DATA ((CT10Y(I,J,1),I=1,7),J=1,4)/(0.6E0,-0.6E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.7E0,-0.8E0), (-0.4E0,-0.7E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.7E0,-0.8E0),
+ (-0.4E0,-0.7E0), (-0.1E0,-0.9E0),
+ (0.2E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0)/
DATA ((CT10Y(I,J,2),I=1,7),J=1,4)/(0.6E0,-0.6E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (-0.1E0,-0.9E0), (-0.9E0,0.5E0),
+ (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (-0.6E0,0.6E0),
+ (-0.9E0,0.5E0), (-0.9E0,-0.4E0), (0.1E0,-0.5E0),
+ (-0.1E0,-0.9E0), (-0.5E0,-0.3E0),
+ (0.7E0,-0.8E0)/
DATA ((CT10Y(I,J,3),I=1,7),J=1,4)/(0.6E0,-0.6E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (-0.1E0,-0.9E0), (0.7E0,-0.8E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (-0.6E0,0.6E0),
+ (-0.9E0,-0.4E0), (-0.1E0,-0.9E0),
+ (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0)/
DATA ((CT10Y(I,J,4),I=1,7),J=1,4)/(0.6E0,-0.6E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.7E0,-0.8E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.7E0,-0.8E0), (-0.9E0,0.5E0),
+ (-0.4E0,-0.7E0), (0.0E0,0.0E0), (0.0E0,0.0E0),
+ (0.0E0,0.0E0), (0.0E0,0.0E0), (0.7E0,-0.8E0),
+ (-0.9E0,0.5E0), (-0.4E0,-0.7E0), (0.1E0,-0.5E0),
+ (-0.1E0,-0.9E0), (-0.5E0,-0.3E0),
+ (0.2E0,-0.8E0)/
DATA CSIZE1/(0.0E0,0.0E0), (0.9E0,0.9E0),
+ (1.63E0,1.73E0), (2.90E0,2.78E0)/
DATA CSIZE3/(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 CSIZE2/(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), (1.54E0,1.54E0),
+ (1.54E0,1.54E0), (1.54E0,1.54E0),
+ (1.54E0,1.54E0), (1.54E0,1.54E0),
+ (1.54E0,1.54E0), (1.54E0,1.54E0)/
* .. 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)
* .. initialize all argument arrays ..
DO 20 I = 1, 7
CX(I) = CX1(I)
CY(I) = CY1(I)
20 CONTINUE
IF (ICASE.EQ.1) THEN
* .. CDOTC ..
CDOT(1) = CDOTC(N,CX,INCX,CY,INCY)
CALL CTEST(1,CDOT,CT6(KN,KI),CSIZE1(KN),SFAC)
ELSE IF (ICASE.EQ.2) THEN
* .. CDOTU ..
CDOT(1) = CDOTU(N,CX,INCX,CY,INCY)
CALL CTEST(1,CDOT,CT7(KN,KI),CSIZE1(KN),SFAC)
ELSE IF (ICASE.EQ.3) THEN
* .. CAXPY ..
CALL CAXPY(N,CA,CX,INCX,CY,INCY)
CALL CTEST(LENY,CY,CT8(1,KN,KI),CSIZE2(1,KSIZE),SFAC)
ELSE IF (ICASE.EQ.4) THEN
* .. CCOPY ..
CALL CCOPY(N,CX,INCX,CY,INCY)
CALL CTEST(LENY,CY,CT10Y(1,KN,KI),CSIZE3,1.0E0)
IF (KI.EQ.1) THEN
CX0(1) = (42.0E0,43.0E0)
CY0(1) = (44.0E0,45.0E0)
IF (N.EQ.0) THEN
CTY0(1) = CY0(1)
ELSE
CTY0(1) = CX0(1)
END IF
LINCX = INCX
INCX = 0
LINCY = INCY
INCY = 0
CALL CCOPY(N,CX0,INCX,CY0,INCY)
CALL CTEST(1,CY0,CTY0,CSIZE3,1.0E0)
INCX = LINCX
INCY = LINCY
END IF
ELSE IF (ICASE.EQ.5) THEN
* .. CSWAP ..
CALL CSWAP(N,CX,INCX,CY,INCY)
CALL CTEST(LENX,CX,CT10X(1,KN,KI),CSIZE3,1.0E0)
CALL CTEST(LENY,CY,CT10Y(1,KN,KI),CSIZE3,1.0E0)
ELSE
WRITE (NOUT,*) ' Shouldn''t be here in CHECK2'
STOP
END IF
*
40 CONTINUE
60 CONTINUE
RETURN
*
* End of CHECK2
*
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, MODE, 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, MODE, 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, MODE, I, SCOMP(I),
+ STRUE(I), SD, SSIZE(I)
40 CONTINUE
RETURN
*
99999 FORMAT (' FAIL')
99998 FORMAT (/' CASE N INCX INCY MODE I ',
+ ' COMP(I) TRUE(I) DIFFERENCE',
+ ' SIZE(I)',/1X)
99997 FORMAT (1X,I4,I3,3I5,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 CTEST(LEN,CCOMP,CTRUE,CSIZE,SFAC)
* **************************** CTEST *****************************
*
* C.L. LAWSON, JPL, 1978 DEC 6
*
* .. Scalar Arguments ..
REAL SFAC
INTEGER LEN
* .. Array Arguments ..
COMPLEX CCOMP(LEN), CSIZE(LEN), CTRUE(LEN)
* .. Local Scalars ..
INTEGER I
* .. Local Arrays ..
REAL SCOMP(20), SSIZE(20), STRUE(20)
* .. External Subroutines ..
EXTERNAL STEST
* .. Intrinsic Functions ..
INTRINSIC AIMAG, REAL
* .. Executable Statements ..
DO 20 I = 1, LEN
SCOMP(2*I-1) = REAL(CCOMP(I))
SCOMP(2*I) = AIMAG(CCOMP(I))
STRUE(2*I-1) = REAL(CTRUE(I))
STRUE(2*I) = AIMAG(CTRUE(I))
SSIZE(2*I-1) = REAL(CSIZE(I))
SSIZE(2*I) = AIMAG(CSIZE(I))
20 CONTINUE
*
CALL STEST(2*LEN,SCOMP,STRUE,SSIZE,SFAC)
RETURN
*
* End of CTEST
*
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, MODE, N
LOGICAL PASS
* .. Local Scalars ..
INTEGER ID
* .. Common blocks ..
COMMON /COMBLA/ICASE, N, INCX, INCY, MODE, 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, MODE, ICOMP, ITRUE, ID
40 CONTINUE
RETURN
*
99999 FORMAT (' FAIL')
99998 FORMAT (/' CASE N INCX INCY MODE ',
+ ' COMP TRUE DIFFERENCE',
+ /1X)
99997 FORMAT (1X,I4,I3,3I5,2I36,I12)
*
* End of ITEST1
*
END
SUBROUTINE CB1NRM2(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
*
* .. Scalar Arguments ..
INTEGER INCX, N
REAL THRESH
*
* =====================================================================
* .. Parameters ..
INTEGER NMAX, NOUT, NV
PARAMETER (NMAX=20, NOUT=6, NV=10)
REAL HALF, ONE, THREE, TWO, ZERO
PARAMETER (HALF=0.5E+0, ONE=1.0E+0, TWO= 2.0E+0,
& THREE=3.0E+0, ZERO=0.0E+0)
* .. External Functions ..
REAL SCNRM2
EXTERNAL SCNRM2
* .. Intrinsic Functions ..
INTRINSIC AIMAG, ABS, CMPLX, 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 ..
COMPLEX ROGUE
REAL SNRM, TRAT, V0, V1, WORKSSQ, Y1, Y2,
& YMAX, YMIN, YNRM, ZNRM
INTEGER I, IV, IW, IX, KS
LOGICAL FIRST
* .. Local Arrays ..
COMPLEX X(NMAX), Z(NMAX)
REAL VALUES(NV), WORK(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 = CMPLX(1234.5678E+0,-1234.5678E+0)
FIRST = .TRUE.
*
* Check that the arrays are large enough
*
IF (N*ABS(INCX).GT.NMAX) THEN
WRITE (NOUT,99) "SCNRM2", 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 2*(N-1) values in (-1,1).
*
KS = 2*(N-1)
DO I = 1, KS
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 = 1, KS
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*HALF
END IF
Z(1) = CMPLX(V0,-THREE*V0)
DO IW = 1, NV
V1 = VALUES(IW)
IF (ABS(V1).GT.ONE) THEN
V1 = (V1*HALF) / SQRT(REAL(KS+1))
END IF
DO I = 1, N-1
Z(I+1) = CMPLX(V1*WORK(2*I-1),V1*WORK(2*I))
END DO
*
* Compute the expected value of the 2-norm
*
Y1 = ABS(V0) * SQRT(10.0E0)
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 SCNRM2 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 SCNRM2 to compute the 2-norm
*
SNRM = SCNRM2(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
Y1 = ABS(REAL(X(1)))
Y2 = ABS(AIMAG(X(1)))
YMIN = MIN(Y1, Y2)
YMAX = MAX(Y1, Y2)
IF ((Y1.NE.Y1).OR.(Y2.NE.Y2)) THEN
* add to propagate NaN
ZNRM = Y1 + Y2
ELSE IF (YMIN == YMAX) THEN
ZNRM = SQRT(TWO)*YMAX
ELSE IF (YMAX == ZERO) THEN
ZNRM = ZERO
ELSE
ZNRM = YMAX * SQRT(ONE + (YMIN / YMAX)**2)
END IF
ZNRM = SQRT(REAL(n)) * ZNRM
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 (ZNRM == ZERO) THEN
TRAT = SNRM / ULP
ELSE
TRAT = (ABS(SNRM-ZNRM) / ZNRM) / (TWO*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) "SCNRM2", 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
* .. Local Scalars ..
REAL X, Y, YY, Z
* .. Intrinsic Functions ..
INTRINSIC HUGE
* .. Executable Statements ..
Y = HUGE(XX)
Z = YY
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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