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/cblat1.f b/blas/testing/cblat1.f
new file mode 100644
index 0000000..a4c996f
--- /dev/null
+++ b/blas/testing/cblat1.f
@@ -0,0 +1,681 @@
+      PROGRAM CBLAT1
+*     Test program for the COMPLEX    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 ..
+      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
+      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
+      SUBROUTINE CHECK1(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
+      REAL              SA
+      INTEGER           I, J, LEN, NP1
+*     .. Local Arrays ..
+      COMPLEX           CTRUE5(8,5,2), CTRUE6(8,5,2), CV(8,5,2), CX(8),
+     +                  MWPCS(5), MWPCT(5)
+      REAL              STRUE2(5), STRUE4(5)
+      INTEGER           ITRUE3(5)
+*     .. External Functions ..
+      REAL              SCASUM, SCNRM2
+      INTEGER           ICAMAX
+      EXTERNAL          SCASUM, SCNRM2, ICAMAX
+*     .. External Subroutines ..
+      EXTERNAL          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), (0.1E0,0.4E0),
+     +                  (0.4E0,0.1E0), (0.1E0,0.2E0), (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),
+     +                  (0.1E0,0.4E0), (6.0E0,9.0E0), (0.4E0,0.1E0),
+     +                  (8.0E0,3.0E0), (0.1E0,0.2E0), (9.0E0,4.0E0)/
+      DATA              STRUE2/0.0E0, 0.5E0, 0.6E0, 0.7E0, 0.7E0/
+      DATA              STRUE4/0.0E0, 0.7E0, 1.0E0, 1.3E0, 1.7E0/
+      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), (0.32E0,0.09E0),
+     +                  (0.23E0,-0.24E0), (0.18E0,0.01E0),
+     +                  (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),
+     +                  (0.32E0,0.09E0), (6.0E0,9.0E0),
+     +                  (0.23E0,-0.24E0), (8.0E0,3.0E0),
+     +                  (0.18E0,0.01E0), (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), (0.03E0,0.12E0),
+     +                  (0.12E0,0.03E0), (0.03E0,0.06E0), (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),
+     +                  (0.03E0,0.12E0), (6.0E0,9.0E0), (0.12E0,0.03E0),
+     +                  (8.0E0,3.0E0), (0.03E0,0.06E0), (9.0E0,4.0E0)/
+      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
+*              .. SCNRM2 ..
+               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))
+            ELSE
+               WRITE (NOUT,*) ' Shouldn''t be here in CHECK1'
+               STOP
+            END IF
+*
+   40    CONTINUE
+   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
+      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, 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), CX(7), CX1(7), CY(7), 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)
+            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
+      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 ..
+      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 (SDIFF(ABS(SSIZE(I))+ABS(SFAC*SD),ABS(SSIZE(I))).EQ.0.0E0)
+     +       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
+      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 ..
+      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
+      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
+      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
+      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