Squashed 'third_party/eigen/' content from commit 61d72f6

Change-Id: Iccc90fa0b55ab44037f018046d2fcffd90d9d025
git-subtree-dir: third_party/eigen
git-subtree-split: 61d72f6383cfa842868c53e30e087b0258177257
diff --git a/blas/testing/zblat1.f b/blas/testing/zblat1.f
new file mode 100644
index 0000000..e2415e1
--- /dev/null
+++ b/blas/testing/zblat1.f
@@ -0,0 +1,681 @@
+      PROGRAM ZBLAT1
+*     Test program for the COMPLEX*16 Level 1 BLAS.
+*     Based upon the original BLAS test routine together with:
+*     F06GAF Example Program Text
+*     .. Parameters ..
+      INTEGER          NOUT
+      PARAMETER        (NOUT=6)
+*     .. Scalars in Common ..
+      INTEGER          ICASE, INCX, INCY, MODE, N
+      LOGICAL          PASS
+*     .. Local Scalars ..
+      DOUBLE PRECISION SFAC
+      INTEGER          IC
+*     .. External Subroutines ..
+      EXTERNAL         CHECK1, CHECK2, HEADER
+*     .. Common blocks ..
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+*     .. Data statements ..
+      DATA             SFAC/9.765625D-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
+      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)/'ZDOTC '/
+      DATA             L(2)/'ZDOTU '/
+      DATA             L(3)/'ZAXPY '/
+      DATA             L(4)/'ZCOPY '/
+      DATA             L(5)/'ZSWAP '/
+      DATA             L(6)/'DZNRM2'/
+      DATA             L(7)/'DZASUM'/
+      DATA             L(8)/'ZSCAL '/
+      DATA             L(9)/'ZDSCAL'/
+      DATA             L(10)/'IZAMAX'/
+*     .. Executable Statements ..
+      WRITE (NOUT,99999) ICASE, L(ICASE)
+      RETURN
+*
+99999 FORMAT (/' Test of subprogram number',I3,12X,A6)
+      END
+      SUBROUTINE CHECK1(SFAC)
+*     .. Parameters ..
+      INTEGER           NOUT
+      PARAMETER         (NOUT=6)
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION  SFAC
+*     .. Scalars in Common ..
+      INTEGER           ICASE, INCX, INCY, MODE, N
+      LOGICAL           PASS
+*     .. Local Scalars ..
+      COMPLEX*16        CA
+      DOUBLE PRECISION  SA
+      INTEGER           I, J, LEN, NP1
+*     .. Local Arrays ..
+      COMPLEX*16        CTRUE5(8,5,2), CTRUE6(8,5,2), CV(8,5,2), CX(8),
+     +                  MWPCS(5), MWPCT(5)
+      DOUBLE PRECISION  STRUE2(5), STRUE4(5)
+      INTEGER           ITRUE3(5)
+*     .. External Functions ..
+      DOUBLE PRECISION  DZASUM, DZNRM2
+      INTEGER           IZAMAX
+      EXTERNAL          DZASUM, DZNRM2, IZAMAX
+*     .. External Subroutines ..
+      EXTERNAL          ZSCAL, ZDSCAL, CTEST, ITEST1, STEST1
+*     .. Intrinsic Functions ..
+      INTRINSIC         MAX
+*     .. Common blocks ..
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+*     .. Data statements ..
+      DATA              SA, CA/0.3D0, (0.4D0,-0.7D0)/
+      DATA              ((CV(I,J,1),I=1,8),J=1,5)/(0.1D0,0.1D0),
+     +                  (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0),
+     +                  (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0),
+     +                  (1.0D0,2.0D0), (0.3D0,-0.4D0), (3.0D0,4.0D0),
+     +                  (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0),
+     +                  (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0),
+     +                  (0.1D0,-0.3D0), (0.5D0,-0.1D0), (5.0D0,6.0D0),
+     +                  (5.0D0,6.0D0), (5.0D0,6.0D0), (5.0D0,6.0D0),
+     +                  (5.0D0,6.0D0), (5.0D0,6.0D0), (0.1D0,0.1D0),
+     +                  (-0.6D0,0.1D0), (0.1D0,-0.3D0), (7.0D0,8.0D0),
+     +                  (7.0D0,8.0D0), (7.0D0,8.0D0), (7.0D0,8.0D0),
+     +                  (7.0D0,8.0D0), (0.3D0,0.1D0), (0.1D0,0.4D0),
+     +                  (0.4D0,0.1D0), (0.1D0,0.2D0), (2.0D0,3.0D0),
+     +                  (2.0D0,3.0D0), (2.0D0,3.0D0), (2.0D0,3.0D0)/
+      DATA              ((CV(I,J,2),I=1,8),J=1,5)/(0.1D0,0.1D0),
+     +                  (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0),
+     +                  (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0),
+     +                  (4.0D0,5.0D0), (0.3D0,-0.4D0), (6.0D0,7.0D0),
+     +                  (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0),
+     +                  (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0),
+     +                  (0.1D0,-0.3D0), (8.0D0,9.0D0), (0.5D0,-0.1D0),
+     +                  (2.0D0,5.0D0), (2.0D0,5.0D0), (2.0D0,5.0D0),
+     +                  (2.0D0,5.0D0), (2.0D0,5.0D0), (0.1D0,0.1D0),
+     +                  (3.0D0,6.0D0), (-0.6D0,0.1D0), (4.0D0,7.0D0),
+     +                  (0.1D0,-0.3D0), (7.0D0,2.0D0), (7.0D0,2.0D0),
+     +                  (7.0D0,2.0D0), (0.3D0,0.1D0), (5.0D0,8.0D0),
+     +                  (0.1D0,0.4D0), (6.0D0,9.0D0), (0.4D0,0.1D0),
+     +                  (8.0D0,3.0D0), (0.1D0,0.2D0), (9.0D0,4.0D0)/
+      DATA              STRUE2/0.0D0, 0.5D0, 0.6D0, 0.7D0, 0.7D0/
+      DATA              STRUE4/0.0D0, 0.7D0, 1.0D0, 1.3D0, 1.7D0/
+      DATA              ((CTRUE5(I,J,1),I=1,8),J=1,5)/(0.1D0,0.1D0),
+     +                  (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0),
+     +                  (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0),
+     +                  (1.0D0,2.0D0), (-0.16D0,-0.37D0), (3.0D0,4.0D0),
+     +                  (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0),
+     +                  (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0),
+     +                  (-0.17D0,-0.19D0), (0.13D0,-0.39D0),
+     +                  (5.0D0,6.0D0), (5.0D0,6.0D0), (5.0D0,6.0D0),
+     +                  (5.0D0,6.0D0), (5.0D0,6.0D0), (5.0D0,6.0D0),
+     +                  (0.11D0,-0.03D0), (-0.17D0,0.46D0),
+     +                  (-0.17D0,-0.19D0), (7.0D0,8.0D0), (7.0D0,8.0D0),
+     +                  (7.0D0,8.0D0), (7.0D0,8.0D0), (7.0D0,8.0D0),
+     +                  (0.19D0,-0.17D0), (0.32D0,0.09D0),
+     +                  (0.23D0,-0.24D0), (0.18D0,0.01D0),
+     +                  (2.0D0,3.0D0), (2.0D0,3.0D0), (2.0D0,3.0D0),
+     +                  (2.0D0,3.0D0)/
+      DATA              ((CTRUE5(I,J,2),I=1,8),J=1,5)/(0.1D0,0.1D0),
+     +                  (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0),
+     +                  (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0),
+     +                  (4.0D0,5.0D0), (-0.16D0,-0.37D0), (6.0D0,7.0D0),
+     +                  (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0),
+     +                  (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0),
+     +                  (-0.17D0,-0.19D0), (8.0D0,9.0D0),
+     +                  (0.13D0,-0.39D0), (2.0D0,5.0D0), (2.0D0,5.0D0),
+     +                  (2.0D0,5.0D0), (2.0D0,5.0D0), (2.0D0,5.0D0),
+     +                  (0.11D0,-0.03D0), (3.0D0,6.0D0),
+     +                  (-0.17D0,0.46D0), (4.0D0,7.0D0),
+     +                  (-0.17D0,-0.19D0), (7.0D0,2.0D0), (7.0D0,2.0D0),
+     +                  (7.0D0,2.0D0), (0.19D0,-0.17D0), (5.0D0,8.0D0),
+     +                  (0.32D0,0.09D0), (6.0D0,9.0D0),
+     +                  (0.23D0,-0.24D0), (8.0D0,3.0D0),
+     +                  (0.18D0,0.01D0), (9.0D0,4.0D0)/
+      DATA              ((CTRUE6(I,J,1),I=1,8),J=1,5)/(0.1D0,0.1D0),
+     +                  (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0),
+     +                  (1.0D0,2.0D0), (1.0D0,2.0D0), (1.0D0,2.0D0),
+     +                  (1.0D0,2.0D0), (0.09D0,-0.12D0), (3.0D0,4.0D0),
+     +                  (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0),
+     +                  (3.0D0,4.0D0), (3.0D0,4.0D0), (3.0D0,4.0D0),
+     +                  (0.03D0,-0.09D0), (0.15D0,-0.03D0),
+     +                  (5.0D0,6.0D0), (5.0D0,6.0D0), (5.0D0,6.0D0),
+     +                  (5.0D0,6.0D0), (5.0D0,6.0D0), (5.0D0,6.0D0),
+     +                  (0.03D0,0.03D0), (-0.18D0,0.03D0),
+     +                  (0.03D0,-0.09D0), (7.0D0,8.0D0), (7.0D0,8.0D0),
+     +                  (7.0D0,8.0D0), (7.0D0,8.0D0), (7.0D0,8.0D0),
+     +                  (0.09D0,0.03D0), (0.03D0,0.12D0),
+     +                  (0.12D0,0.03D0), (0.03D0,0.06D0), (2.0D0,3.0D0),
+     +                  (2.0D0,3.0D0), (2.0D0,3.0D0), (2.0D0,3.0D0)/
+      DATA              ((CTRUE6(I,J,2),I=1,8),J=1,5)/(0.1D0,0.1D0),
+     +                  (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0),
+     +                  (4.0D0,5.0D0), (4.0D0,5.0D0), (4.0D0,5.0D0),
+     +                  (4.0D0,5.0D0), (0.09D0,-0.12D0), (6.0D0,7.0D0),
+     +                  (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0),
+     +                  (6.0D0,7.0D0), (6.0D0,7.0D0), (6.0D0,7.0D0),
+     +                  (0.03D0,-0.09D0), (8.0D0,9.0D0),
+     +                  (0.15D0,-0.03D0), (2.0D0,5.0D0), (2.0D0,5.0D0),
+     +                  (2.0D0,5.0D0), (2.0D0,5.0D0), (2.0D0,5.0D0),
+     +                  (0.03D0,0.03D0), (3.0D0,6.0D0),
+     +                  (-0.18D0,0.03D0), (4.0D0,7.0D0),
+     +                  (0.03D0,-0.09D0), (7.0D0,2.0D0), (7.0D0,2.0D0),
+     +                  (7.0D0,2.0D0), (0.09D0,0.03D0), (5.0D0,8.0D0),
+     +                  (0.03D0,0.12D0), (6.0D0,9.0D0), (0.12D0,0.03D0),
+     +                  (8.0D0,3.0D0), (0.03D0,0.06D0), (9.0D0,4.0D0)/
+      DATA              ITRUE3/0, 1, 2, 2, 2/
+*     .. 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
+*              .. DZNRM2 ..
+               CALL STEST1(DZNRM2(N,CX,INCX),STRUE2(NP1),STRUE2(NP1),
+     +                     SFAC)
+            ELSE IF (ICASE.EQ.7) THEN
+*              .. DZASUM ..
+               CALL STEST1(DZASUM(N,CX,INCX),STRUE4(NP1),STRUE4(NP1),
+     +                     SFAC)
+            ELSE IF (ICASE.EQ.8) THEN
+*              .. ZSCAL ..
+               CALL ZSCAL(N,CA,CX,INCX)
+               CALL CTEST(LEN,CX,CTRUE5(1,NP1,INCX),CTRUE5(1,NP1,INCX),
+     +                    SFAC)
+            ELSE IF (ICASE.EQ.9) THEN
+*              .. ZDSCAL ..
+               CALL ZDSCAL(N,SA,CX,INCX)
+               CALL CTEST(LEN,CX,CTRUE6(1,NP1,INCX),CTRUE6(1,NP1,INCX),
+     +                    SFAC)
+            ELSE IF (ICASE.EQ.10) THEN
+*              .. IZAMAX ..
+               CALL ITEST1(IZAMAX(N,CX,INCX),ITRUE3(NP1))
+            ELSE
+               WRITE (NOUT,*) ' Shouldn''t be here in CHECK1'
+               STOP
+            END IF
+*
+   40    CONTINUE
+   60 CONTINUE
+*
+      INCX = 1
+      IF (ICASE.EQ.8) THEN
+*        ZSCAL
+*        Add a test for alpha equal to zero.
+         CA = (0.0D0,0.0D0)
+         DO 80 I = 1, 5
+            MWPCT(I) = (0.0D0,0.0D0)
+            MWPCS(I) = (1.0D0,1.0D0)
+   80    CONTINUE
+         CALL ZSCAL(5,CA,CX,INCX)
+         CALL CTEST(5,CX,MWPCT,MWPCS,SFAC)
+      ELSE IF (ICASE.EQ.9) THEN
+*        ZDSCAL
+*        Add a test for alpha equal to zero.
+         SA = 0.0D0
+         DO 100 I = 1, 5
+            MWPCT(I) = (0.0D0,0.0D0)
+            MWPCS(I) = (1.0D0,1.0D0)
+  100    CONTINUE
+         CALL ZDSCAL(5,SA,CX,INCX)
+         CALL CTEST(5,CX,MWPCT,MWPCS,SFAC)
+*        Add a test for alpha equal to one.
+         SA = 1.0D0
+         DO 120 I = 1, 5
+            MWPCT(I) = CX(I)
+            MWPCS(I) = CX(I)
+  120    CONTINUE
+         CALL ZDSCAL(5,SA,CX,INCX)
+         CALL CTEST(5,CX,MWPCT,MWPCS,SFAC)
+*        Add a test for alpha equal to minus one.
+         SA = -1.0D0
+         DO 140 I = 1, 5
+            MWPCT(I) = -CX(I)
+            MWPCS(I) = -CX(I)
+  140    CONTINUE
+         CALL ZDSCAL(5,SA,CX,INCX)
+         CALL CTEST(5,CX,MWPCT,MWPCS,SFAC)
+      END IF
+      RETURN
+      END
+      SUBROUTINE CHECK2(SFAC)
+*     .. Parameters ..
+      INTEGER           NOUT
+      PARAMETER         (NOUT=6)
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION  SFAC
+*     .. Scalars in Common ..
+      INTEGER           ICASE, INCX, INCY, MODE, N
+      LOGICAL           PASS
+*     .. Local Scalars ..
+      COMPLEX*16        CA
+      INTEGER           I, J, KI, KN, KSIZE, LENX, LENY, MX, MY
+*     .. Local Arrays ..
+      COMPLEX*16        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), CX(7), CX1(7), CY(7), CY1(7)
+      INTEGER           INCXS(4), INCYS(4), LENS(4,2), NS(4)
+*     .. External Functions ..
+      COMPLEX*16        ZDOTC, ZDOTU
+      EXTERNAL          ZDOTC, ZDOTU
+*     .. External Subroutines ..
+      EXTERNAL          ZAXPY, ZCOPY, ZSWAP, CTEST
+*     .. Intrinsic Functions ..
+      INTRINSIC         ABS, MIN
+*     .. Common blocks ..
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+*     .. Data statements ..
+      DATA              CA/(0.4D0,-0.7D0)/
+      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/(0.7D0,-0.8D0), (-0.4D0,-0.7D0),
+     +                  (-0.1D0,-0.9D0), (0.2D0,-0.8D0),
+     +                  (-0.9D0,-0.4D0), (0.1D0,0.4D0), (-0.6D0,0.6D0)/
+      DATA              CY1/(0.6D0,-0.6D0), (-0.9D0,0.5D0),
+     +                  (0.7D0,-0.6D0), (0.1D0,-0.5D0), (-0.1D0,-0.2D0),
+     +                  (-0.5D0,-0.3D0), (0.8D0,-0.7D0)/
+      DATA              ((CT8(I,J,1),I=1,7),J=1,4)/(0.6D0,-0.6D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.32D0,-1.41D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.32D0,-1.41D0),
+     +                  (-1.55D0,0.5D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.32D0,-1.41D0), (-1.55D0,0.5D0),
+     +                  (0.03D0,-0.89D0), (-0.38D0,-0.96D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0)/
+      DATA              ((CT8(I,J,2),I=1,7),J=1,4)/(0.6D0,-0.6D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.32D0,-1.41D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (-0.07D0,-0.89D0),
+     +                  (-0.9D0,0.5D0), (0.42D0,-1.41D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.78D0,0.06D0), (-0.9D0,0.5D0),
+     +                  (0.06D0,-0.13D0), (0.1D0,-0.5D0),
+     +                  (-0.77D0,-0.49D0), (-0.5D0,-0.3D0),
+     +                  (0.52D0,-1.51D0)/
+      DATA              ((CT8(I,J,3),I=1,7),J=1,4)/(0.6D0,-0.6D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.32D0,-1.41D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (-0.07D0,-0.89D0),
+     +                  (-1.18D0,-0.31D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.78D0,0.06D0), (-1.54D0,0.97D0),
+     +                  (0.03D0,-0.89D0), (-0.18D0,-1.31D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0)/
+      DATA              ((CT8(I,J,4),I=1,7),J=1,4)/(0.6D0,-0.6D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.32D0,-1.41D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.32D0,-1.41D0), (-0.9D0,0.5D0),
+     +                  (0.05D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.32D0,-1.41D0),
+     +                  (-0.9D0,0.5D0), (0.05D0,-0.6D0), (0.1D0,-0.5D0),
+     +                  (-0.77D0,-0.49D0), (-0.5D0,-0.3D0),
+     +                  (0.32D0,-1.16D0)/
+      DATA              CT7/(0.0D0,0.0D0), (-0.06D0,-0.90D0),
+     +                  (0.65D0,-0.47D0), (-0.34D0,-1.22D0),
+     +                  (0.0D0,0.0D0), (-0.06D0,-0.90D0),
+     +                  (-0.59D0,-1.46D0), (-1.04D0,-0.04D0),
+     +                  (0.0D0,0.0D0), (-0.06D0,-0.90D0),
+     +                  (-0.83D0,0.59D0), (0.07D0,-0.37D0),
+     +                  (0.0D0,0.0D0), (-0.06D0,-0.90D0),
+     +                  (-0.76D0,-1.15D0), (-1.33D0,-1.82D0)/
+      DATA              CT6/(0.0D0,0.0D0), (0.90D0,0.06D0),
+     +                  (0.91D0,-0.77D0), (1.80D0,-0.10D0),
+     +                  (0.0D0,0.0D0), (0.90D0,0.06D0), (1.45D0,0.74D0),
+     +                  (0.20D0,0.90D0), (0.0D0,0.0D0), (0.90D0,0.06D0),
+     +                  (-0.55D0,0.23D0), (0.83D0,-0.39D0),
+     +                  (0.0D0,0.0D0), (0.90D0,0.06D0), (1.04D0,0.79D0),
+     +                  (1.95D0,1.22D0)/
+      DATA              ((CT10X(I,J,1),I=1,7),J=1,4)/(0.7D0,-0.8D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.6D0,-0.6D0), (-0.9D0,0.5D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.6D0,-0.6D0),
+     +                  (-0.9D0,0.5D0), (0.7D0,-0.6D0), (0.1D0,-0.5D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0)/
+      DATA              ((CT10X(I,J,2),I=1,7),J=1,4)/(0.7D0,-0.8D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.7D0,-0.6D0), (-0.4D0,-0.7D0),
+     +                  (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.8D0,-0.7D0),
+     +                  (-0.4D0,-0.7D0), (-0.1D0,-0.2D0),
+     +                  (0.2D0,-0.8D0), (0.7D0,-0.6D0), (0.1D0,0.4D0),
+     +                  (0.6D0,-0.6D0)/
+      DATA              ((CT10X(I,J,3),I=1,7),J=1,4)/(0.7D0,-0.8D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (-0.9D0,0.5D0), (-0.4D0,-0.7D0),
+     +                  (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.1D0,-0.5D0),
+     +                  (-0.4D0,-0.7D0), (0.7D0,-0.6D0), (0.2D0,-0.8D0),
+     +                  (-0.9D0,0.5D0), (0.1D0,0.4D0), (0.6D0,-0.6D0)/
+      DATA              ((CT10X(I,J,4),I=1,7),J=1,4)/(0.7D0,-0.8D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.6D0,-0.6D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.6D0,-0.6D0), (0.7D0,-0.6D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.6D0,-0.6D0),
+     +                  (0.7D0,-0.6D0), (-0.1D0,-0.2D0), (0.8D0,-0.7D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0)/
+      DATA              ((CT10Y(I,J,1),I=1,7),J=1,4)/(0.6D0,-0.6D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.7D0,-0.8D0), (-0.4D0,-0.7D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.7D0,-0.8D0),
+     +                  (-0.4D0,-0.7D0), (-0.1D0,-0.9D0),
+     +                  (0.2D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0)/
+      DATA              ((CT10Y(I,J,2),I=1,7),J=1,4)/(0.6D0,-0.6D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (-0.1D0,-0.9D0), (-0.9D0,0.5D0),
+     +                  (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (-0.6D0,0.6D0),
+     +                  (-0.9D0,0.5D0), (-0.9D0,-0.4D0), (0.1D0,-0.5D0),
+     +                  (-0.1D0,-0.9D0), (-0.5D0,-0.3D0),
+     +                  (0.7D0,-0.8D0)/
+      DATA              ((CT10Y(I,J,3),I=1,7),J=1,4)/(0.6D0,-0.6D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (-0.1D0,-0.9D0), (0.7D0,-0.8D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (-0.6D0,0.6D0),
+     +                  (-0.9D0,-0.4D0), (-0.1D0,-0.9D0),
+     +                  (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0)/
+      DATA              ((CT10Y(I,J,4),I=1,7),J=1,4)/(0.6D0,-0.6D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.7D0,-0.8D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.7D0,-0.8D0), (-0.9D0,0.5D0),
+     +                  (-0.4D0,-0.7D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.7D0,-0.8D0),
+     +                  (-0.9D0,0.5D0), (-0.4D0,-0.7D0), (0.1D0,-0.5D0),
+     +                  (-0.1D0,-0.9D0), (-0.5D0,-0.3D0),
+     +                  (0.2D0,-0.8D0)/
+      DATA              CSIZE1/(0.0D0,0.0D0), (0.9D0,0.9D0),
+     +                  (1.63D0,1.73D0), (2.90D0,2.78D0)/
+      DATA              CSIZE3/(0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (1.17D0,1.17D0),
+     +                  (1.17D0,1.17D0), (1.17D0,1.17D0),
+     +                  (1.17D0,1.17D0), (1.17D0,1.17D0),
+     +                  (1.17D0,1.17D0), (1.17D0,1.17D0)/
+      DATA              CSIZE2/(0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (0.0D0,0.0D0),
+     +                  (0.0D0,0.0D0), (0.0D0,0.0D0), (1.54D0,1.54D0),
+     +                  (1.54D0,1.54D0), (1.54D0,1.54D0),
+     +                  (1.54D0,1.54D0), (1.54D0,1.54D0),
+     +                  (1.54D0,1.54D0), (1.54D0,1.54D0)/
+*     .. 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
+*              .. ZDOTC ..
+               CDOT(1) = ZDOTC(N,CX,INCX,CY,INCY)
+               CALL CTEST(1,CDOT,CT6(KN,KI),CSIZE1(KN),SFAC)
+            ELSE IF (ICASE.EQ.2) THEN
+*              .. ZDOTU ..
+               CDOT(1) = ZDOTU(N,CX,INCX,CY,INCY)
+               CALL CTEST(1,CDOT,CT7(KN,KI),CSIZE1(KN),SFAC)
+            ELSE IF (ICASE.EQ.3) THEN
+*              .. ZAXPY ..
+               CALL ZAXPY(N,CA,CX,INCX,CY,INCY)
+               CALL CTEST(LENY,CY,CT8(1,KN,KI),CSIZE2(1,KSIZE),SFAC)
+            ELSE IF (ICASE.EQ.4) THEN
+*              .. ZCOPY ..
+               CALL ZCOPY(N,CX,INCX,CY,INCY)
+               CALL CTEST(LENY,CY,CT10Y(1,KN,KI),CSIZE3,1.0D0)
+            ELSE IF (ICASE.EQ.5) THEN
+*              .. ZSWAP ..
+               CALL ZSWAP(N,CX,INCX,CY,INCY)
+               CALL CTEST(LENX,CX,CT10X(1,KN,KI),CSIZE3,1.0D0)
+               CALL CTEST(LENY,CY,CT10Y(1,KN,KI),CSIZE3,1.0D0)
+            ELSE
+               WRITE (NOUT,*) ' Shouldn''t be here in CHECK2'
+               STOP
+            END IF
+*
+   40    CONTINUE
+   60 CONTINUE
+      RETURN
+      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
+      PARAMETER        (NOUT=6)
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION SFAC
+      INTEGER          LEN
+*     .. Array Arguments ..
+      DOUBLE PRECISION SCOMP(LEN), SSIZE(LEN), STRUE(LEN)
+*     .. Scalars in Common ..
+      INTEGER          ICASE, INCX, INCY, MODE, N
+      LOGICAL          PASS
+*     .. Local Scalars ..
+      DOUBLE PRECISION SD
+      INTEGER          I
+*     .. External Functions ..
+      DOUBLE PRECISION 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 (SDIFF(ABS(SSIZE(I))+ABS(SFAC*SD),ABS(SSIZE(I))).EQ.0.0D0)
+     +       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,I3,2D36.8,2D12.4)
+      END
+      SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC)
+*     ************************* STEST1 *****************************
+*
+*     THIS IS AN INTERFACE SUBROUTINE TO ACCOMODATE 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 ..
+      DOUBLE PRECISION  SCOMP1, SFAC, STRUE1
+*     .. Array Arguments ..
+      DOUBLE PRECISION  SSIZE(*)
+*     .. Local Arrays ..
+      DOUBLE PRECISION  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
+      DOUBLE PRECISION FUNCTION SDIFF(SA,SB)
+*     ********************************* SDIFF **************************
+*     COMPUTES DIFFERENCE OF TWO NUMBERS.  C. L. LAWSON, JPL 1974 FEB 15
+*
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION                SA, SB
+*     .. Executable Statements ..
+      SDIFF = SA - SB
+      RETURN
+      END
+      SUBROUTINE CTEST(LEN,CCOMP,CTRUE,CSIZE,SFAC)
+*     **************************** CTEST *****************************
+*
+*     C.L. LAWSON, JPL, 1978 DEC 6
+*
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION SFAC
+      INTEGER          LEN
+*     .. Array Arguments ..
+      COMPLEX*16       CCOMP(LEN), CSIZE(LEN), CTRUE(LEN)
+*     .. Local Scalars ..
+      INTEGER          I
+*     .. Local Arrays ..
+      DOUBLE PRECISION SCOMP(20), SSIZE(20), STRUE(20)
+*     .. External Subroutines ..
+      EXTERNAL         STEST
+*     .. Intrinsic Functions ..
+      INTRINSIC        DIMAG, DBLE
+*     .. Executable Statements ..
+      DO 20 I = 1, LEN
+         SCOMP(2*I-1) = DBLE(CCOMP(I))
+         SCOMP(2*I) = DIMAG(CCOMP(I))
+         STRUE(2*I-1) = DBLE(CTRUE(I))
+         STRUE(2*I) = DIMAG(CTRUE(I))
+         SSIZE(2*I-1) = DBLE(CSIZE(I))
+         SSIZE(2*I) = DIMAG(CSIZE(I))
+   20 CONTINUE
+*
+      CALL STEST(2*LEN,SCOMP,STRUE,SSIZE,SFAC)
+      RETURN
+      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