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/dblat1.f b/blas/testing/dblat1.f
new file mode 100644
index 0000000..30691f9
--- /dev/null
+++ b/blas/testing/dblat1.f
@@ -0,0 +1,1065 @@
+*> \brief \b DBLAT1
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*  Definition:
+*  ===========
+*
+*       PROGRAM DBLAT1
+* 
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*>    Test program for the DOUBLE PRECISION Level 1 BLAS.
+*>
+*>    Based upon the original BLAS test routine together with:
+*>    F06EAF Example Program Text
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date April 2012
+*
+*> \ingroup double_blas_testing
+*
+*  =====================================================================
+      PROGRAM DBLAT1
+*
+*  -- Reference BLAS test routine (version 3.4.1) --
+*  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     April 2012
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      INTEGER          NOUT
+      PARAMETER        (NOUT=6)
+*     .. Scalars in Common ..
+      INTEGER          ICASE, INCX, INCY, N
+      LOGICAL          PASS
+*     .. Local Scalars ..
+      DOUBLE PRECISION SFAC
+      INTEGER          IC
+*     .. External Subroutines ..
+      EXTERNAL         CHECK0, CHECK1, CHECK2, CHECK3, HEADER
+*     .. Common blocks ..
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
+*     .. Data statements ..
+      DATA             SFAC/9.765625D-4/
+*     .. Executable Statements ..
+      WRITE (NOUT,99999)
+      DO 20 IC = 1, 13
+         ICASE = IC
+         CALL HEADER
+*
+*        .. Initialize  PASS,  INCX,  and INCY for a new case. ..
+*        .. the value 9999 for INCX or INCY will appear in the ..
+*        .. detailed  output, if any, for cases  that do not involve ..
+*        .. these parameters ..
+*
+         PASS = .TRUE.
+         INCX = 9999
+         INCY = 9999
+         IF (ICASE.EQ.3 .OR. ICASE.EQ.11) THEN
+            CALL CHECK0(SFAC)
+         ELSE IF (ICASE.EQ.7 .OR. ICASE.EQ.8 .OR. ICASE.EQ.9 .OR.
+     +            ICASE.EQ.10) THEN
+            CALL CHECK1(SFAC)
+         ELSE IF (ICASE.EQ.1 .OR. ICASE.EQ.2 .OR. ICASE.EQ.5 .OR.
+     +            ICASE.EQ.6 .OR. ICASE.EQ.12 .OR. ICASE.EQ.13) THEN
+            CALL CHECK2(SFAC)
+         ELSE IF (ICASE.EQ.4) THEN
+            CALL CHECK3(SFAC)
+         END IF
+*        -- Print
+         IF (PASS) WRITE (NOUT,99998)
+   20 CONTINUE
+      STOP
+*
+99999 FORMAT (' Real BLAS Test Program Results',/1X)
+99998 FORMAT ('                                    ----- PASS -----')
+      END
+      SUBROUTINE HEADER
+*     .. Parameters ..
+      INTEGER          NOUT
+      PARAMETER        (NOUT=6)
+*     .. Scalars in Common ..
+      INTEGER          ICASE, INCX, INCY, N
+      LOGICAL          PASS
+*     .. Local Arrays ..
+      CHARACTER*6      L(13)
+*     .. Common blocks ..
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
+*     .. Data statements ..
+      DATA             L(1)/' DDOT '/
+      DATA             L(2)/'DAXPY '/
+      DATA             L(3)/'DROTG '/
+      DATA             L(4)/' DROT '/
+      DATA             L(5)/'DCOPY '/
+      DATA             L(6)/'DSWAP '/
+      DATA             L(7)/'DNRM2 '/
+      DATA             L(8)/'DASUM '/
+      DATA             L(9)/'DSCAL '/
+      DATA             L(10)/'IDAMAX'/
+      DATA             L(11)/'DROTMG'/
+      DATA             L(12)/'DROTM '/
+      DATA             L(13)/'DSDOT '/
+*     .. Executable Statements ..
+      WRITE (NOUT,99999) ICASE, L(ICASE)
+      RETURN
+*
+99999 FORMAT (/' Test of subprogram number',I3,12X,A6)
+      END
+      SUBROUTINE CHECK0(SFAC)
+*     .. Parameters ..
+      INTEGER           NOUT
+      PARAMETER         (NOUT=6)
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION  SFAC
+*     .. Scalars in Common ..
+      INTEGER           ICASE, INCX, INCY, N
+      LOGICAL           PASS
+*     .. Local Scalars ..
+      DOUBLE PRECISION  SA, SB, SC, SS, D12
+      INTEGER           I, K
+*     .. Local Arrays ..
+      DOUBLE PRECISION  DA1(8), DATRUE(8), DB1(8), DBTRUE(8), DC1(8),
+     $                  DS1(8), DAB(4,9), DTEMP(9), DTRUE(9,9)
+*     .. External Subroutines ..
+      EXTERNAL          DROTG, DROTMG, STEST1
+*     .. Common blocks ..
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
+*     .. Data statements ..
+      DATA              DA1/0.3D0, 0.4D0, -0.3D0, -0.4D0, -0.3D0, 0.0D0,
+     +                  0.0D0, 1.0D0/
+      DATA              DB1/0.4D0, 0.3D0, 0.4D0, 0.3D0, -0.4D0, 0.0D0,
+     +                  1.0D0, 0.0D0/
+      DATA              DC1/0.6D0, 0.8D0, -0.6D0, 0.8D0, 0.6D0, 1.0D0,
+     +                  0.0D0, 1.0D0/
+      DATA              DS1/0.8D0, 0.6D0, 0.8D0, -0.6D0, 0.8D0, 0.0D0,
+     +                  1.0D0, 0.0D0/
+      DATA              DATRUE/0.5D0, 0.5D0, 0.5D0, -0.5D0, -0.5D0,
+     +                  0.0D0, 1.0D0, 1.0D0/
+      DATA              DBTRUE/0.0D0, 0.6D0, 0.0D0, -0.6D0, 0.0D0,
+     +                  0.0D0, 1.0D0, 0.0D0/
+*     INPUT FOR MODIFIED GIVENS
+      DATA DAB/ .1D0,.3D0,1.2D0,.2D0,
+     A          .7D0, .2D0, .6D0, 4.2D0,
+     B          0.D0,0.D0,0.D0,0.D0,
+     C          4.D0, -1.D0, 2.D0, 4.D0,
+     D          6.D-10, 2.D-2, 1.D5, 10.D0,
+     E          4.D10, 2.D-2, 1.D-5, 10.D0,
+     F          2.D-10, 4.D-2, 1.D5, 10.D0,
+     G          2.D10, 4.D-2, 1.D-5, 10.D0,
+     H          4.D0, -2.D0, 8.D0, 4.D0    /
+*    TRUE RESULTS FOR MODIFIED GIVENS
+      DATA DTRUE/0.D0,0.D0, 1.3D0, .2D0, 0.D0,0.D0,0.D0, .5D0, 0.D0,
+     A           0.D0,0.D0, 4.5D0, 4.2D0, 1.D0, .5D0, 0.D0,0.D0,0.D0,
+     B           0.D0,0.D0,0.D0,0.D0, -2.D0, 0.D0,0.D0,0.D0,0.D0,
+     C           0.D0,0.D0,0.D0, 4.D0, -1.D0, 0.D0,0.D0,0.D0,0.D0,
+     D           0.D0, 15.D-3, 0.D0, 10.D0, -1.D0, 0.D0, -1.D-4,
+     E           0.D0, 1.D0,
+     F           0.D0,0.D0, 6144.D-5, 10.D0, -1.D0, 4096.D0, -1.D6,
+     G           0.D0, 1.D0,
+     H           0.D0,0.D0,15.D0,10.D0,-1.D0, 5.D-5, 0.D0,1.D0,0.D0,
+     I           0.D0,0.D0, 15.D0, 10.D0, -1. D0, 5.D5, -4096.D0,
+     J           1.D0, 4096.D-6,
+     K           0.D0,0.D0, 7.D0, 4.D0, 0.D0,0.D0, -.5D0, -.25D0, 0.D0/
+*                   4096 = 2 ** 12
+      DATA D12  /4096.D0/
+      DTRUE(1,1) = 12.D0 / 130.D0
+      DTRUE(2,1) = 36.D0 / 130.D0
+      DTRUE(7,1) = -1.D0 / 6.D0
+      DTRUE(1,2) = 14.D0 / 75.D0
+      DTRUE(2,2) = 49.D0 / 75.D0
+      DTRUE(9,2) = 1.D0 / 7.D0
+      DTRUE(1,5) = 45.D-11 * (D12 * D12)
+      DTRUE(3,5) = 4.D5 / (3.D0 * D12)
+      DTRUE(6,5) = 1.D0 / D12
+      DTRUE(8,5) = 1.D4 / (3.D0 * D12)
+      DTRUE(1,6) = 4.D10 / (1.5D0 * D12 * D12)
+      DTRUE(2,6) = 2.D-2 / 1.5D0
+      DTRUE(8,6) = 5.D-7 * D12
+      DTRUE(1,7) = 4.D0 / 150.D0
+      DTRUE(2,7) = (2.D-10 / 1.5D0) * (D12 * D12)
+      DTRUE(7,7) = -DTRUE(6,5)
+      DTRUE(9,7) = 1.D4 / D12
+      DTRUE(1,8) = DTRUE(1,7)
+      DTRUE(2,8) = 2.D10 / (1.5D0 * D12 * D12)
+      DTRUE(1,9) = 32.D0 / 7.D0
+      DTRUE(2,9) = -16.D0 / 7.D0
+*     .. Executable Statements ..
+*
+*     Compute true values which cannot be prestored
+*     in decimal notation
+*
+      DBTRUE(1) = 1.0D0/0.6D0
+      DBTRUE(3) = -1.0D0/0.6D0
+      DBTRUE(5) = 1.0D0/0.6D0
+*
+      DO 20 K = 1, 8
+*        .. Set N=K for identification in output if any ..
+         N = K
+         IF (ICASE.EQ.3) THEN
+*           .. DROTG ..
+            IF (K.GT.8) GO TO 40
+            SA = DA1(K)
+            SB = DB1(K)
+            CALL DROTG(SA,SB,SC,SS)
+            CALL STEST1(SA,DATRUE(K),DATRUE(K),SFAC)
+            CALL STEST1(SB,DBTRUE(K),DBTRUE(K),SFAC)
+            CALL STEST1(SC,DC1(K),DC1(K),SFAC)
+            CALL STEST1(SS,DS1(K),DS1(K),SFAC)
+         ELSEIF (ICASE.EQ.11) THEN
+*           .. DROTMG ..
+            DO I=1,4
+               DTEMP(I)= DAB(I,K)
+               DTEMP(I+4) = 0.0
+            END DO
+            DTEMP(9) = 0.0
+            CALL DROTMG(DTEMP(1),DTEMP(2),DTEMP(3),DTEMP(4),DTEMP(5))
+            CALL STEST(9,DTEMP,DTRUE(1,K),DTRUE(1,K),SFAC)
+         ELSE
+            WRITE (NOUT,*) ' Shouldn''t be here in CHECK0'
+            STOP
+         END IF
+   20 CONTINUE
+   40 RETURN
+      END
+      SUBROUTINE CHECK1(SFAC)
+*     .. Parameters ..
+      INTEGER           NOUT
+      PARAMETER         (NOUT=6)
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION  SFAC
+*     .. Scalars in Common ..
+      INTEGER           ICASE, INCX, INCY, N
+      LOGICAL           PASS
+*     .. Local Scalars ..
+      INTEGER           I, LEN, NP1
+*     .. Local Arrays ..
+      DOUBLE PRECISION  DTRUE1(5), DTRUE3(5), DTRUE5(8,5,2), DV(8,5,2),
+     +                  SA(10), STEMP(1), STRUE(8), SX(8)
+      INTEGER           ITRUE2(5)
+*     .. External Functions ..
+      DOUBLE PRECISION  DASUM, DNRM2
+      INTEGER           IDAMAX
+      EXTERNAL          DASUM, DNRM2, IDAMAX
+*     .. External Subroutines ..
+      EXTERNAL          ITEST1, DSCAL, STEST, STEST1
+*     .. Intrinsic Functions ..
+      INTRINSIC         MAX
+*     .. Common blocks ..
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
+*     .. Data statements ..
+      DATA              SA/0.3D0, -1.0D0, 0.0D0, 1.0D0, 0.3D0, 0.3D0,
+     +                  0.3D0, 0.3D0, 0.3D0, 0.3D0/
+      DATA              DV/0.1D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
+     +                  2.0D0, 2.0D0, 0.3D0, 3.0D0, 3.0D0, 3.0D0, 3.0D0,
+     +                  3.0D0, 3.0D0, 3.0D0, 0.3D0, -0.4D0, 4.0D0,
+     +                  4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, 0.2D0,
+     +                  -0.6D0, 0.3D0, 5.0D0, 5.0D0, 5.0D0, 5.0D0,
+     +                  5.0D0, 0.1D0, -0.3D0, 0.5D0, -0.1D0, 6.0D0,
+     +                  6.0D0, 6.0D0, 6.0D0, 0.1D0, 8.0D0, 8.0D0, 8.0D0,
+     +                  8.0D0, 8.0D0, 8.0D0, 8.0D0, 0.3D0, 9.0D0, 9.0D0,
+     +                  9.0D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, 0.3D0, 2.0D0,
+     +                  -0.4D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
+     +                  0.2D0, 3.0D0, -0.6D0, 5.0D0, 0.3D0, 2.0D0,
+     +                  2.0D0, 2.0D0, 0.1D0, 4.0D0, -0.3D0, 6.0D0,
+     +                  -0.5D0, 7.0D0, -0.1D0, 3.0D0/
+      DATA              DTRUE1/0.0D0, 0.3D0, 0.5D0, 0.7D0, 0.6D0/
+      DATA              DTRUE3/0.0D0, 0.3D0, 0.7D0, 1.1D0, 1.0D0/
+      DATA              DTRUE5/0.10D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
+     +                  2.0D0, 2.0D0, 2.0D0, -0.3D0, 3.0D0, 3.0D0,
+     +                  3.0D0, 3.0D0, 3.0D0, 3.0D0, 3.0D0, 0.0D0, 0.0D0,
+     +                  4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0,
+     +                  0.20D0, -0.60D0, 0.30D0, 5.0D0, 5.0D0, 5.0D0,
+     +                  5.0D0, 5.0D0, 0.03D0, -0.09D0, 0.15D0, -0.03D0,
+     +                  6.0D0, 6.0D0, 6.0D0, 6.0D0, 0.10D0, 8.0D0,
+     +                  8.0D0, 8.0D0, 8.0D0, 8.0D0, 8.0D0, 8.0D0,
+     +                  0.09D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0,
+     +                  9.0D0, 9.0D0, 0.09D0, 2.0D0, -0.12D0, 2.0D0,
+     +                  2.0D0, 2.0D0, 2.0D0, 2.0D0, 0.06D0, 3.0D0,
+     +                  -0.18D0, 5.0D0, 0.09D0, 2.0D0, 2.0D0, 2.0D0,
+     +                  0.03D0, 4.0D0, -0.09D0, 6.0D0, -0.15D0, 7.0D0,
+     +                  -0.03D0, 3.0D0/
+      DATA              ITRUE2/0, 1, 2, 2, 3/
+*     .. Executable Statements ..
+      DO 80 INCX = 1, 2
+         DO 60 NP1 = 1, 5
+            N = NP1 - 1
+            LEN = 2*MAX(N,1)
+*           .. Set vector arguments ..
+            DO 20 I = 1, LEN
+               SX(I) = DV(I,NP1,INCX)
+   20       CONTINUE
+*
+            IF (ICASE.EQ.7) THEN
+*              .. DNRM2 ..
+               STEMP(1) = DTRUE1(NP1)
+               CALL STEST1(DNRM2(N,SX,INCX),STEMP(1),STEMP,SFAC)
+            ELSE IF (ICASE.EQ.8) THEN
+*              .. DASUM ..
+               STEMP(1) = DTRUE3(NP1)
+               CALL STEST1(DASUM(N,SX,INCX),STEMP(1),STEMP,SFAC)
+            ELSE IF (ICASE.EQ.9) THEN
+*              .. DSCAL ..
+               CALL DSCAL(N,SA((INCX-1)*5+NP1),SX,INCX)
+               DO 40 I = 1, LEN
+                  STRUE(I) = DTRUE5(I,NP1,INCX)
+   40          CONTINUE
+               CALL STEST(LEN,SX,STRUE,STRUE,SFAC)
+            ELSE IF (ICASE.EQ.10) THEN
+*              .. IDAMAX ..
+               CALL ITEST1(IDAMAX(N,SX,INCX),ITRUE2(NP1))
+            ELSE
+               WRITE (NOUT,*) ' Shouldn''t be here in CHECK1'
+               STOP
+            END IF
+   60    CONTINUE
+   80 CONTINUE
+      RETURN
+      END
+      SUBROUTINE CHECK2(SFAC)
+*     .. Parameters ..
+      INTEGER           NOUT
+      PARAMETER         (NOUT=6)
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION  SFAC
+*     .. Scalars in Common ..
+      INTEGER           ICASE, INCX, INCY, N
+      LOGICAL           PASS
+*     .. Local Scalars ..
+      DOUBLE PRECISION  SA
+      INTEGER           I, J, KI, KN, KNI, KPAR, KSIZE, LENX, LENY,
+     $                  MX, MY 
+*     .. Local Arrays ..
+      DOUBLE PRECISION  DT10X(7,4,4), DT10Y(7,4,4), DT7(4,4),
+     $                  DT8(7,4,4), DX1(7),
+     $                  DY1(7), SSIZE1(4), SSIZE2(14,2), SSIZE(7),
+     $                  STX(7), STY(7), SX(7), SY(7),
+     $                  DPAR(5,4), DT19X(7,4,16),DT19XA(7,4,4),
+     $                  DT19XB(7,4,4), DT19XC(7,4,4),DT19XD(7,4,4),
+     $                  DT19Y(7,4,16), DT19YA(7,4,4),DT19YB(7,4,4),
+     $                  DT19YC(7,4,4), DT19YD(7,4,4), DTEMP(5)
+      INTEGER           INCXS(4), INCYS(4), LENS(4,2), NS(4)
+*     .. External Functions ..
+      DOUBLE PRECISION  DDOT, DSDOT
+      EXTERNAL          DDOT, DSDOT
+*     .. External Subroutines ..
+      EXTERNAL          DAXPY, DCOPY, DROTM, DSWAP, STEST, STEST1
+*     .. Intrinsic Functions ..
+      INTRINSIC         ABS, MIN
+*     .. Common blocks ..
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
+*     .. Data statements ..
+      EQUIVALENCE (DT19X(1,1,1),DT19XA(1,1,1)),(DT19X(1,1,5),
+     A   DT19XB(1,1,1)),(DT19X(1,1,9),DT19XC(1,1,1)),
+     B   (DT19X(1,1,13),DT19XD(1,1,1))
+      EQUIVALENCE (DT19Y(1,1,1),DT19YA(1,1,1)),(DT19Y(1,1,5),
+     A   DT19YB(1,1,1)),(DT19Y(1,1,9),DT19YC(1,1,1)),
+     B   (DT19Y(1,1,13),DT19YD(1,1,1))
+
+      DATA              SA/0.3D0/
+      DATA              INCXS/1, 2, -2, -1/
+      DATA              INCYS/1, -2, 1, -2/
+      DATA              LENS/1, 1, 2, 4, 1, 1, 3, 7/
+      DATA              NS/0, 1, 2, 4/
+      DATA              DX1/0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.9D0, -0.3D0,
+     +                  -0.4D0/
+      DATA              DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0,
+     +                  0.8D0/
+      DATA              DT7/0.0D0, 0.30D0, 0.21D0, 0.62D0, 0.0D0,
+     +                  0.30D0, -0.07D0, 0.85D0, 0.0D0, 0.30D0, -0.79D0,
+     +                  -0.74D0, 0.0D0, 0.30D0, 0.33D0, 1.27D0/
+      DATA              DT8/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.68D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.68D0, -0.87D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.68D0, -0.87D0, 0.15D0,
+     +                  0.94D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.68D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.35D0, -0.9D0, 0.48D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.38D0, -0.9D0, 0.57D0, 0.7D0, -0.75D0,
+     +                  0.2D0, 0.98D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.68D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.35D0, -0.72D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.38D0,
+     +                  -0.63D0, 0.15D0, 0.88D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.68D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.7D0,
+     +                  -0.75D0, 0.2D0, 1.04D0/
+      DATA              DT10X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.5D0, -0.9D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.5D0, -0.9D0, 0.3D0, 0.7D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.3D0, 0.1D0, 0.5D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.8D0, 0.1D0, -0.6D0,
+     +                  0.8D0, 0.3D0, -0.3D0, 0.5D0, 0.6D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.9D0,
+     +                  0.1D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0,
+     +                  0.1D0, 0.3D0, 0.8D0, -0.9D0, -0.3D0, 0.5D0,
+     +                  0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.5D0, 0.3D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.5D0, 0.3D0, -0.6D0, 0.8D0, 0.0D0, 0.0D0,
+     +                  0.0D0/
+      DATA              DT10Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.6D0, 0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, -0.5D0, -0.9D0, 0.6D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, -0.4D0, -0.9D0, 0.9D0,
+     +                  0.7D0, -0.5D0, 0.2D0, 0.6D0, 0.5D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.5D0,
+     +                  0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  -0.4D0, 0.9D0, -0.5D0, 0.6D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.6D0, -0.9D0, 0.1D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.6D0, -0.9D0, 0.1D0, 0.7D0,
+     +                  -0.5D0, 0.2D0, 0.8D0/
+      DATA              SSIZE1/0.0D0, 0.3D0, 1.6D0, 3.2D0/
+      DATA              SSIZE2/0.0D0, 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/
+*
+*                         FOR DROTM
+*
+      DATA DPAR/-2.D0,  0.D0,0.D0,0.D0,0.D0,
+     A          -1.D0,  2.D0, -3.D0, -4.D0,  5.D0,
+     B           0.D0,  0.D0,  2.D0, -3.D0,  0.D0,
+     C           1.D0,  5.D0,  2.D0,  0.D0, -4.D0/
+*                        TRUE X RESULTS F0R ROTATIONS DROTM
+      DATA DT19XA/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .6D0,   .1D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     I           -.8D0,  3.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     J           -.9D0,  2.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     K           3.5D0,  -.4D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     L            .6D0,   .1D0,  -.5D0,   .8D0,          0.D0,0.D0,0.D0,
+     M           -.8D0,  3.8D0, -2.2D0, -1.2D0,          0.D0,0.D0,0.D0,
+     N           -.9D0,  2.8D0, -1.4D0, -1.3D0,          0.D0,0.D0,0.D0,
+     O           3.5D0,  -.4D0, -2.2D0,  4.7D0,          0.D0,0.D0,0.D0/
+*
+      DATA DT19XB/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .6D0,   .1D0,  -.5D0,             0.D0,0.D0,0.D0,0.D0,
+     I           0.D0,    .1D0, -3.0D0,             0.D0,0.D0,0.D0,0.D0,
+     J           -.3D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
+     K           3.3D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
+     L            .6D0,   .1D0,  -.5D0,   .8D0,   .9D0,  -.3D0,  -.4D0,
+     M          -2.0D0,   .1D0,  1.4D0,   .8D0,   .6D0,  -.3D0, -2.8D0,
+     N          -1.8D0,   .1D0,  1.3D0,   .8D0,  0.D0,   -.3D0, -1.9D0,
+     O           3.8D0,   .1D0, -3.1D0,   .8D0,  4.8D0,  -.3D0, -1.5D0 /
+*
+      DATA DT19XC/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .6D0,   .1D0,  -.5D0,             0.D0,0.D0,0.D0,0.D0,
+     I           4.8D0,   .1D0, -3.0D0,             0.D0,0.D0,0.D0,0.D0,
+     J           3.3D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
+     K           2.1D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
+     L            .6D0,   .1D0,  -.5D0,   .8D0,   .9D0,  -.3D0,  -.4D0,
+     M          -1.6D0,   .1D0, -2.2D0,   .8D0,  5.4D0,  -.3D0, -2.8D0,
+     N          -1.5D0,   .1D0, -1.4D0,   .8D0,  3.6D0,  -.3D0, -1.9D0,
+     O           3.7D0,   .1D0, -2.2D0,   .8D0,  3.6D0,  -.3D0, -1.5D0 /
+*
+      DATA DT19XD/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .6D0,   .1D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     I           -.8D0, -1.0D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     J           -.9D0,  -.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     K           3.5D0,   .8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     L            .6D0,   .1D0,  -.5D0,   .8D0,          0.D0,0.D0,0.D0,
+     M           -.8D0, -1.0D0,  1.4D0, -1.6D0,          0.D0,0.D0,0.D0,
+     N           -.9D0,  -.8D0,  1.3D0, -1.6D0,          0.D0,0.D0,0.D0,
+     O           3.5D0,   .8D0, -3.1D0,  4.8D0,          0.D0,0.D0,0.D0/
+*                        TRUE Y RESULTS FOR ROTATIONS DROTM
+      DATA DT19YA/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .5D0,  -.9D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     I            .7D0, -4.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     J           1.7D0,  -.7D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     K          -2.6D0,  3.5D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     L            .5D0,  -.9D0,   .3D0,   .7D0,          0.D0,0.D0,0.D0,
+     M            .7D0, -4.8D0,  3.0D0,  1.1D0,          0.D0,0.D0,0.D0,
+     N           1.7D0,  -.7D0,  -.7D0,  2.3D0,          0.D0,0.D0,0.D0,
+     O          -2.6D0,  3.5D0,  -.7D0, -3.6D0,          0.D0,0.D0,0.D0/
+*
+      DATA DT19YB/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .5D0,  -.9D0,   .3D0,             0.D0,0.D0,0.D0,0.D0,
+     I           4.0D0,  -.9D0,  -.3D0,             0.D0,0.D0,0.D0,0.D0,
+     J           -.5D0,  -.9D0,  1.5D0,             0.D0,0.D0,0.D0,0.D0,
+     K          -1.5D0,  -.9D0, -1.8D0,             0.D0,0.D0,0.D0,0.D0,
+     L            .5D0,  -.9D0,   .3D0,   .7D0,  -.6D0,   .2D0,   .8D0,
+     M           3.7D0,  -.9D0, -1.2D0,   .7D0, -1.5D0,   .2D0,  2.2D0,
+     N           -.3D0,  -.9D0,  2.1D0,   .7D0, -1.6D0,   .2D0,  2.0D0,
+     O          -1.6D0,  -.9D0, -2.1D0,   .7D0,  2.9D0,   .2D0, -3.8D0 /
+*
+      DATA DT19YC/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .5D0,  -.9D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     I           4.0D0, -6.3D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     J           -.5D0,   .3D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     K          -1.5D0,  3.0D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     L            .5D0,  -.9D0,   .3D0,   .7D0,          0.D0,0.D0,0.D0,
+     M           3.7D0, -7.2D0,  3.0D0,  1.7D0,          0.D0,0.D0,0.D0,
+     N           -.3D0,   .9D0,  -.7D0,  1.9D0,          0.D0,0.D0,0.D0,
+     O          -1.6D0,  2.7D0,  -.7D0, -3.4D0,          0.D0,0.D0,0.D0/
+*
+      DATA DT19YD/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .5D0,  -.9D0,   .3D0,             0.D0,0.D0,0.D0,0.D0,
+     I            .7D0,  -.9D0,  1.2D0,             0.D0,0.D0,0.D0,0.D0,
+     J           1.7D0,  -.9D0,   .5D0,             0.D0,0.D0,0.D0,0.D0,
+     K          -2.6D0,  -.9D0, -1.3D0,             0.D0,0.D0,0.D0,0.D0,
+     L            .5D0,  -.9D0,   .3D0,   .7D0,  -.6D0,   .2D0,   .8D0,
+     M            .7D0,  -.9D0,  1.2D0,   .7D0, -1.5D0,   .2D0,  1.6D0,
+     N           1.7D0,  -.9D0,   .5D0,   .7D0, -1.6D0,   .2D0,  2.4D0,
+     O          -2.6D0,  -.9D0, -1.3D0,   .7D0,  2.9D0,   .2D0, -4.0D0 /
+*    
+*     .. Executable Statements ..
+*
+      DO 120 KI = 1, 4
+         INCX = INCXS(KI)
+         INCY = INCYS(KI)
+         MX = ABS(INCX)
+         MY = ABS(INCY)
+*
+         DO 100 KN = 1, 4
+            N = NS(KN)
+            KSIZE = MIN(2,KN)
+            LENX = LENS(KN,MX)
+            LENY = LENS(KN,MY)
+*           .. Initialize all argument arrays ..
+            DO 20 I = 1, 7
+               SX(I) = DX1(I)
+               SY(I) = DY1(I)
+   20       CONTINUE
+*
+            IF (ICASE.EQ.1) THEN
+*              .. DDOT ..
+               CALL STEST1(DDOT(N,SX,INCX,SY,INCY),DT7(KN,KI),SSIZE1(KN)
+     +                     ,SFAC)
+            ELSE IF (ICASE.EQ.2) THEN
+*              .. DAXPY ..
+               CALL DAXPY(N,SA,SX,INCX,SY,INCY)
+               DO 40 J = 1, LENY
+                  STY(J) = DT8(J,KN,KI)
+   40          CONTINUE
+               CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
+            ELSE IF (ICASE.EQ.5) THEN
+*              .. DCOPY ..
+               DO 60 I = 1, 7
+                  STY(I) = DT10Y(I,KN,KI)
+   60          CONTINUE
+               CALL DCOPY(N,SX,INCX,SY,INCY)
+               CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0)
+            ELSE IF (ICASE.EQ.6) THEN
+*              .. DSWAP ..
+               CALL DSWAP(N,SX,INCX,SY,INCY)
+               DO 80 I = 1, 7
+                  STX(I) = DT10X(I,KN,KI)
+                  STY(I) = DT10Y(I,KN,KI)
+   80          CONTINUE
+               CALL STEST(LENX,SX,STX,SSIZE2(1,1),1.0D0)
+               CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0)
+            ELSE IF (ICASE.EQ.12) THEN
+*              .. DROTM ..
+               KNI=KN+4*(KI-1)
+               DO KPAR=1,4
+                  DO I=1,7
+                     SX(I) = DX1(I)
+                     SY(I) = DY1(I)
+                     STX(I)= DT19X(I,KPAR,KNI)
+                     STY(I)= DT19Y(I,KPAR,KNI)
+                  END DO
+*
+                  DO I=1,5
+                     DTEMP(I) = DPAR(I,KPAR)
+                  END DO
+*
+                  DO  I=1,LENX
+                     SSIZE(I)=STX(I)
+                  END DO
+*                   SEE REMARK ABOVE ABOUT DT11X(1,2,7)
+*                       AND DT11X(5,3,8).
+                  IF ((KPAR .EQ. 2) .AND. (KNI .EQ. 7))
+     $               SSIZE(1) = 2.4D0
+                  IF ((KPAR .EQ. 3) .AND. (KNI .EQ. 8))
+     $               SSIZE(5) = 1.8D0
+*
+                  CALL   DROTM(N,SX,INCX,SY,INCY,DTEMP)
+                  CALL   STEST(LENX,SX,STX,SSIZE,SFAC)
+                  CALL   STEST(LENY,SY,STY,STY,SFAC)
+               END DO
+            ELSE IF (ICASE.EQ.13) THEN
+*              .. DSDOT ..
+            CALL TESTDSDOT(REAL(DSDOT(N,REAL(SX),INCX,REAL(SY),INCY)),
+     $                 REAL(DT7(KN,KI)),REAL(SSIZE1(KN)), .3125E-1)
+            ELSE
+               WRITE (NOUT,*) ' Shouldn''t be here in CHECK2'
+               STOP
+            END IF
+  100    CONTINUE
+  120 CONTINUE
+      RETURN
+      END
+      SUBROUTINE CHECK3(SFAC)
+*     .. Parameters ..
+      INTEGER           NOUT
+      PARAMETER         (NOUT=6)
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION  SFAC
+*     .. Scalars in Common ..
+      INTEGER           ICASE, INCX, INCY, N
+      LOGICAL           PASS
+*     .. Local Scalars ..
+      DOUBLE PRECISION  SC, SS
+      INTEGER           I, K, KI, KN, KSIZE, LENX, LENY, MX, MY
+*     .. Local Arrays ..
+      DOUBLE PRECISION  COPYX(5), COPYY(5), DT9X(7,4,4), DT9Y(7,4,4),
+     +                  DX1(7), DY1(7), MWPC(11), MWPS(11), MWPSTX(5),
+     +                  MWPSTY(5), MWPTX(11,5), MWPTY(11,5), MWPX(5),
+     +                  MWPY(5), SSIZE2(14,2), STX(7), STY(7), SX(7),
+     +                  SY(7)
+      INTEGER           INCXS(4), INCYS(4), LENS(4,2), MWPINX(11),
+     +                  MWPINY(11), MWPN(11), NS(4)
+*     .. External Subroutines ..
+      EXTERNAL          DROT, STEST
+*     .. Intrinsic Functions ..
+      INTRINSIC         ABS, MIN
+*     .. Common blocks ..
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
+*     .. Data statements ..
+      DATA              INCXS/1, 2, -2, -1/
+      DATA              INCYS/1, -2, 1, -2/
+      DATA              LENS/1, 1, 2, 4, 1, 1, 3, 7/
+      DATA              NS/0, 1, 2, 4/
+      DATA              DX1/0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.9D0, -0.3D0,
+     +                  -0.4D0/
+      DATA              DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0,
+     +                  0.8D0/
+      DATA              SC, SS/0.8D0, 0.6D0/
+      DATA              DT9X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.78D0, -0.46D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.78D0, -0.46D0, -0.22D0,
+     +                  1.06D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.78D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.66D0, 0.1D0, -0.1D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.96D0, 0.1D0, -0.76D0, 0.8D0, 0.90D0,
+     +                  -0.3D0, -0.02D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.78D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.06D0, 0.1D0,
+     +                  -0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.90D0,
+     +                  0.1D0, -0.22D0, 0.8D0, 0.18D0, -0.3D0, -0.02D0,
+     +                  0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.78D0, 0.26D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.78D0, 0.26D0, -0.76D0, 1.12D0,
+     +                  0.0D0, 0.0D0, 0.0D0/
+      DATA              DT9Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.54D0,
+     +                  0.08D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.04D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0,
+     +                  -0.9D0, -0.12D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.64D0, -0.9D0, -0.30D0, 0.7D0, -0.18D0, 0.2D0,
+     +                  0.28D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.7D0, -1.08D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.64D0, -1.26D0,
+     +                  0.54D0, 0.20D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0,
+     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.0D0, 0.0D0,
+     +                  0.0D0, 0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.7D0,
+     +                  -0.18D0, 0.2D0, 0.16D0/
+      DATA              SSIZE2/0.0D0, 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/
+*     .. Executable Statements ..
+*
+      DO 60 KI = 1, 4
+         INCX = INCXS(KI)
+         INCY = INCYS(KI)
+         MX = ABS(INCX)
+         MY = ABS(INCY)
+*
+         DO 40 KN = 1, 4
+            N = NS(KN)
+            KSIZE = MIN(2,KN)
+            LENX = LENS(KN,MX)
+            LENY = LENS(KN,MY)
+*
+            IF (ICASE.EQ.4) THEN
+*              .. DROT ..
+               DO 20 I = 1, 7
+                  SX(I) = DX1(I)
+                  SY(I) = DY1(I)
+                  STX(I) = DT9X(I,KN,KI)
+                  STY(I) = DT9Y(I,KN,KI)
+   20          CONTINUE
+               CALL DROT(N,SX,INCX,SY,INCY,SC,SS)
+               CALL STEST(LENX,SX,STX,SSIZE2(1,KSIZE),SFAC)
+               CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
+            ELSE
+               WRITE (NOUT,*) ' Shouldn''t be here in CHECK3'
+               STOP
+            END IF
+   40    CONTINUE
+   60 CONTINUE
+*
+      MWPC(1) = 1
+      DO 80 I = 2, 11
+         MWPC(I) = 0
+   80 CONTINUE
+      MWPS(1) = 0
+      DO 100 I = 2, 6
+         MWPS(I) = 1
+  100 CONTINUE
+      DO 120 I = 7, 11
+         MWPS(I) = -1
+  120 CONTINUE
+      MWPINX(1) = 1
+      MWPINX(2) = 1
+      MWPINX(3) = 1
+      MWPINX(4) = -1
+      MWPINX(5) = 1
+      MWPINX(6) = -1
+      MWPINX(7) = 1
+      MWPINX(8) = 1
+      MWPINX(9) = -1
+      MWPINX(10) = 1
+      MWPINX(11) = -1
+      MWPINY(1) = 1
+      MWPINY(2) = 1
+      MWPINY(3) = -1
+      MWPINY(4) = -1
+      MWPINY(5) = 2
+      MWPINY(6) = 1
+      MWPINY(7) = 1
+      MWPINY(8) = -1
+      MWPINY(9) = -1
+      MWPINY(10) = 2
+      MWPINY(11) = 1
+      DO 140 I = 1, 11
+         MWPN(I) = 5
+  140 CONTINUE
+      MWPN(5) = 3
+      MWPN(10) = 3
+      DO 160 I = 1, 5
+         MWPX(I) = I
+         MWPY(I) = I
+         MWPTX(1,I) = I
+         MWPTY(1,I) = I
+         MWPTX(2,I) = I
+         MWPTY(2,I) = -I
+         MWPTX(3,I) = 6 - I
+         MWPTY(3,I) = I - 6
+         MWPTX(4,I) = I
+         MWPTY(4,I) = -I
+         MWPTX(6,I) = 6 - I
+         MWPTY(6,I) = I - 6
+         MWPTX(7,I) = -I
+         MWPTY(7,I) = I
+         MWPTX(8,I) = I - 6
+         MWPTY(8,I) = 6 - I
+         MWPTX(9,I) = -I
+         MWPTY(9,I) = I
+         MWPTX(11,I) = I - 6
+         MWPTY(11,I) = 6 - I
+  160 CONTINUE
+      MWPTX(5,1) = 1
+      MWPTX(5,2) = 3
+      MWPTX(5,3) = 5
+      MWPTX(5,4) = 4
+      MWPTX(5,5) = 5
+      MWPTY(5,1) = -1
+      MWPTY(5,2) = 2
+      MWPTY(5,3) = -2
+      MWPTY(5,4) = 4
+      MWPTY(5,5) = -3
+      MWPTX(10,1) = -1
+      MWPTX(10,2) = -3
+      MWPTX(10,3) = -5
+      MWPTX(10,4) = 4
+      MWPTX(10,5) = 5
+      MWPTY(10,1) = 1
+      MWPTY(10,2) = 2
+      MWPTY(10,3) = 2
+      MWPTY(10,4) = 4
+      MWPTY(10,5) = 3
+      DO 200 I = 1, 11
+         INCX = MWPINX(I)
+         INCY = MWPINY(I)
+         DO 180 K = 1, 5
+            COPYX(K) = MWPX(K)
+            COPYY(K) = MWPY(K)
+            MWPSTX(K) = MWPTX(I,K)
+            MWPSTY(K) = MWPTY(I,K)
+  180    CONTINUE
+         CALL DROT(MWPN(I),COPYX,INCX,COPYY,INCY,MWPC(I),MWPS(I))
+         CALL STEST(5,COPYX,MWPSTX,MWPSTX,SFAC)
+         CALL STEST(5,COPYY,MWPSTY,MWPSTY,SFAC)
+  200 CONTINUE
+      RETURN
+      END
+      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
+      DOUBLE PRECISION ZERO
+      PARAMETER        (NOUT=6, ZERO=0.0D0)
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION SFAC
+      INTEGER          LEN
+*     .. Array Arguments ..
+      DOUBLE PRECISION SCOMP(LEN), SSIZE(LEN), STRUE(LEN)
+*     .. Scalars in Common ..
+      INTEGER          ICASE, INCX, INCY, 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, PASS
+*     .. Executable Statements ..
+*
+      DO 40 I = 1, LEN
+         SD = SCOMP(I) - STRUE(I)
+         IF (ABS(SFAC*SD) .LE. ABS(SSIZE(I))*EPSILON(ZERO))
+     +       GO TO 40
+*
+*                             HERE    SCOMP(I) IS NOT CLOSE TO STRUE(I).
+*
+         IF ( .NOT. PASS) GO TO 20
+*                             PRINT FAIL MESSAGE AND HEADER.
+         PASS = .FALSE.
+         WRITE (NOUT,99999)
+         WRITE (NOUT,99998)
+   20    WRITE (NOUT,99997) ICASE, N, INCX, INCY, I, SCOMP(I),
+     +     STRUE(I), SD, SSIZE(I)
+   40 CONTINUE
+      RETURN
+*
+99999 FORMAT ('                                       FAIL')
+99998 FORMAT (/' CASE  N INCX INCY  I                            ',
+     +       ' COMP(I)                             TRUE(I)  DIFFERENCE',
+     +       '     SIZE(I)',/1X)
+99997 FORMAT (1X,I4,I3,2I5,I3,2D36.8,2D12.4)
+      END
+      SUBROUTINE TESTDSDOT(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, SCOMP, SSIZE, STRUE
+*     .. Scalars in Common ..
+      INTEGER          ICASE, INCX, INCY, N
+      LOGICAL          PASS
+*     .. Local Scalars ..
+      REAL             SD
+*     .. Intrinsic Functions ..
+      INTRINSIC        ABS
+*     .. Common blocks ..
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
+*     .. Executable Statements ..
+*
+         SD = SCOMP - STRUE
+         IF (ABS(SFAC*SD) .LE. ABS(SSIZE) * 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, SCOMP,
+     +     STRUE, SD, SSIZE
+   40 CONTINUE
+      RETURN
+*
+99999 FORMAT ('                                       FAIL')
+99998 FORMAT (/' CASE  N INCX INCY                           ',
+     +       ' COMP(I)                             TRUE(I)  DIFFERENCE',
+     +       '     SIZE(I)',/1X)
+99997 FORMAT (1X,I4,I3,1I5,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 ..
+      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 ITEST1(ICOMP,ITRUE)
+*     ********************************* ITEST1 *************************
+*
+*     THIS SUBROUTINE COMPARES THE VARIABLES ICOMP AND ITRUE FOR
+*     EQUALITY.
+*     C. L. LAWSON, JPL, 1974 DEC 10
+*
+*     .. Parameters ..
+      INTEGER           NOUT
+      PARAMETER         (NOUT=6)
+*     .. Scalar Arguments ..
+      INTEGER           ICOMP, ITRUE
+*     .. Scalars in Common ..
+      INTEGER           ICASE, INCX, INCY, N
+      LOGICAL           PASS
+*     .. Local Scalars ..
+      INTEGER           ID
+*     .. Common blocks ..
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
+*     .. Executable Statements ..
+*
+      IF (ICOMP.EQ.ITRUE) GO TO 40
+*
+*                            HERE ICOMP IS NOT EQUAL TO ITRUE.
+*
+      IF ( .NOT. PASS) GO TO 20
+*                             PRINT FAIL MESSAGE AND HEADER.
+      PASS = .FALSE.
+      WRITE (NOUT,99999)
+      WRITE (NOUT,99998)
+   20 ID = ICOMP - ITRUE
+      WRITE (NOUT,99997) ICASE, N, INCX, INCY, ICOMP, ITRUE, ID
+   40 CONTINUE
+      RETURN
+*
+99999 FORMAT ('                                       FAIL')
+99998 FORMAT (/' CASE  N INCX INCY                               ',
+     +       ' COMP                                TRUE     DIFFERENCE',
+     +       /1X)
+99997 FORMAT (1X,I4,I3,2I5,2I36,I12)
+      END