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      1 *> \brief \b DBLAT1
      2 *
      3 *  =========== DOCUMENTATION ===========
      4 *
      5 * Online html documentation available at 
      6 *            http://www.netlib.org/lapack/explore-html/ 
      7 *
      8 *  Definition:
      9 *  ===========
     10 *
     11 *       PROGRAM DBLAT1
     12 * 
     13 *
     14 *> \par Purpose:
     15 *  =============
     16 *>
     17 *> \verbatim
     18 *>
     19 *>    Test program for the DOUBLE PRECISION Level 1 BLAS.
     20 *>
     21 *>    Based upon the original BLAS test routine together with:
     22 *>    F06EAF Example Program Text
     23 *> \endverbatim
     24 *
     25 *  Authors:
     26 *  ========
     27 *
     28 *> \author Univ. of Tennessee 
     29 *> \author Univ. of California Berkeley 
     30 *> \author Univ. of Colorado Denver 
     31 *> \author NAG Ltd. 
     32 *
     33 *> \date April 2012
     34 *
     35 *> \ingroup double_blas_testing
     36 *
     37 *  =====================================================================
     38       PROGRAM DBLAT1
     39 *
     40 *  -- Reference BLAS test routine (version 3.4.1) --
     41 *  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
     42 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
     43 *     April 2012
     44 *
     45 *  =====================================================================
     46 *
     47 *     .. Parameters ..
     48       INTEGER          NOUT
     49       PARAMETER        (NOUT=6)
     50 *     .. Scalars in Common ..
     51       INTEGER          ICASE, INCX, INCY, N
     52       LOGICAL          PASS
     53 *     .. Local Scalars ..
     54       DOUBLE PRECISION SFAC
     55       INTEGER          IC
     56 *     .. External Subroutines ..
     57       EXTERNAL         CHECK0, CHECK1, CHECK2, CHECK3, HEADER
     58 *     .. Common blocks ..
     59       COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
     60 *     .. Data statements ..
     61       DATA             SFAC/9.765625D-4/
     62 *     .. Executable Statements ..
     63       WRITE (NOUT,99999)
     64       DO 20 IC = 1, 13
     65          ICASE = IC
     66          CALL HEADER
     67 *
     68 *        .. Initialize  PASS,  INCX,  and INCY for a new case. ..
     69 *        .. the value 9999 for INCX or INCY will appear in the ..
     70 *        .. detailed  output, if any, for cases  that do not involve ..
     71 *        .. these parameters ..
     72 *
     73          PASS = .TRUE.
     74          INCX = 9999
     75          INCY = 9999
     76          IF (ICASE.EQ.3 .OR. ICASE.EQ.11) THEN
     77             CALL CHECK0(SFAC)
     78          ELSE IF (ICASE.EQ.7 .OR. ICASE.EQ.8 .OR. ICASE.EQ.9 .OR.
     79      +            ICASE.EQ.10) THEN
     80             CALL CHECK1(SFAC)
     81          ELSE IF (ICASE.EQ.1 .OR. ICASE.EQ.2 .OR. ICASE.EQ.5 .OR.
     82      +            ICASE.EQ.6 .OR. ICASE.EQ.12 .OR. ICASE.EQ.13) THEN
     83             CALL CHECK2(SFAC)
     84          ELSE IF (ICASE.EQ.4) THEN
     85             CALL CHECK3(SFAC)
     86          END IF
     87 *        -- Print
     88          IF (PASS) WRITE (NOUT,99998)
     89    20 CONTINUE
     90       STOP
     91 *
     92 99999 FORMAT (' Real BLAS Test Program Results',/1X)
     93 99998 FORMAT ('                                    ----- PASS -----')
     94       END
     95       SUBROUTINE HEADER
     96 *     .. Parameters ..
     97       INTEGER          NOUT
     98       PARAMETER        (NOUT=6)
     99 *     .. Scalars in Common ..
    100       INTEGER          ICASE, INCX, INCY, N
    101       LOGICAL          PASS
    102 *     .. Local Arrays ..
    103       CHARACTER*6      L(13)
    104 *     .. Common blocks ..
    105       COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
    106 *     .. Data statements ..
    107       DATA             L(1)/' DDOT '/
    108       DATA             L(2)/'DAXPY '/
    109       DATA             L(3)/'DROTG '/
    110       DATA             L(4)/' DROT '/
    111       DATA             L(5)/'DCOPY '/
    112       DATA             L(6)/'DSWAP '/
    113       DATA             L(7)/'DNRM2 '/
    114       DATA             L(8)/'DASUM '/
    115       DATA             L(9)/'DSCAL '/
    116       DATA             L(10)/'IDAMAX'/
    117       DATA             L(11)/'DROTMG'/
    118       DATA             L(12)/'DROTM '/
    119       DATA             L(13)/'DSDOT '/
    120 *     .. Executable Statements ..
    121       WRITE (NOUT,99999) ICASE, L(ICASE)
    122       RETURN
    123 *
    124 99999 FORMAT (/' Test of subprogram number',I3,12X,A6)
    125       END
    126       SUBROUTINE CHECK0(SFAC)
    127 *     .. Parameters ..
    128       INTEGER           NOUT
    129       PARAMETER         (NOUT=6)
    130 *     .. Scalar Arguments ..
    131       DOUBLE PRECISION  SFAC
    132 *     .. Scalars in Common ..
    133       INTEGER           ICASE, INCX, INCY, N
    134       LOGICAL           PASS
    135 *     .. Local Scalars ..
    136       DOUBLE PRECISION  SA, SB, SC, SS, D12
    137       INTEGER           I, K
    138 *     .. Local Arrays ..
    139       DOUBLE PRECISION  DA1(8), DATRUE(8), DB1(8), DBTRUE(8), DC1(8),
    140      $                  DS1(8), DAB(4,9), DTEMP(9), DTRUE(9,9)
    141 *     .. External Subroutines ..
    142       EXTERNAL          DROTG, DROTMG, STEST1
    143 *     .. Common blocks ..
    144       COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
    145 *     .. Data statements ..
    146       DATA              DA1/0.3D0, 0.4D0, -0.3D0, -0.4D0, -0.3D0, 0.0D0,
    147      +                  0.0D0, 1.0D0/
    148       DATA              DB1/0.4D0, 0.3D0, 0.4D0, 0.3D0, -0.4D0, 0.0D0,
    149      +                  1.0D0, 0.0D0/
    150       DATA              DC1/0.6D0, 0.8D0, -0.6D0, 0.8D0, 0.6D0, 1.0D0,
    151      +                  0.0D0, 1.0D0/
    152       DATA              DS1/0.8D0, 0.6D0, 0.8D0, -0.6D0, 0.8D0, 0.0D0,
    153      +                  1.0D0, 0.0D0/
    154       DATA              DATRUE/0.5D0, 0.5D0, 0.5D0, -0.5D0, -0.5D0,
    155      +                  0.0D0, 1.0D0, 1.0D0/
    156       DATA              DBTRUE/0.0D0, 0.6D0, 0.0D0, -0.6D0, 0.0D0,
    157      +                  0.0D0, 1.0D0, 0.0D0/
    158 *     INPUT FOR MODIFIED GIVENS
    159       DATA DAB/ .1D0,.3D0,1.2D0,.2D0,
    160      A          .7D0, .2D0, .6D0, 4.2D0,
    161      B          0.D0,0.D0,0.D0,0.D0,
    162      C          4.D0, -1.D0, 2.D0, 4.D0,
    163      D          6.D-10, 2.D-2, 1.D5, 10.D0,
    164      E          4.D10, 2.D-2, 1.D-5, 10.D0,
    165      F          2.D-10, 4.D-2, 1.D5, 10.D0,
    166      G          2.D10, 4.D-2, 1.D-5, 10.D0,
    167      H          4.D0, -2.D0, 8.D0, 4.D0    /
    168 *    TRUE RESULTS FOR MODIFIED GIVENS
    169       DATA DTRUE/0.D0,0.D0, 1.3D0, .2D0, 0.D0,0.D0,0.D0, .5D0, 0.D0,
    170      A           0.D0,0.D0, 4.5D0, 4.2D0, 1.D0, .5D0, 0.D0,0.D0,0.D0,
    171      B           0.D0,0.D0,0.D0,0.D0, -2.D0, 0.D0,0.D0,0.D0,0.D0,
    172      C           0.D0,0.D0,0.D0, 4.D0, -1.D0, 0.D0,0.D0,0.D0,0.D0,
    173      D           0.D0, 15.D-3, 0.D0, 10.D0, -1.D0, 0.D0, -1.D-4,
    174      E           0.D0, 1.D0,
    175      F           0.D0,0.D0, 6144.D-5, 10.D0, -1.D0, 4096.D0, -1.D6,
    176      G           0.D0, 1.D0,
    177      H           0.D0,0.D0,15.D0,10.D0,-1.D0, 5.D-5, 0.D0,1.D0,0.D0,
    178      I           0.D0,0.D0, 15.D0, 10.D0, -1. D0, 5.D5, -4096.D0,
    179      J           1.D0, 4096.D-6,
    180      K           0.D0,0.D0, 7.D0, 4.D0, 0.D0,0.D0, -.5D0, -.25D0, 0.D0/
    181 *                   4096 = 2 ** 12
    182       DATA D12  /4096.D0/
    183       DTRUE(1,1) = 12.D0 / 130.D0
    184       DTRUE(2,1) = 36.D0 / 130.D0
    185       DTRUE(7,1) = -1.D0 / 6.D0
    186       DTRUE(1,2) = 14.D0 / 75.D0
    187       DTRUE(2,2) = 49.D0 / 75.D0
    188       DTRUE(9,2) = 1.D0 / 7.D0
    189       DTRUE(1,5) = 45.D-11 * (D12 * D12)
    190       DTRUE(3,5) = 4.D5 / (3.D0 * D12)
    191       DTRUE(6,5) = 1.D0 / D12
    192       DTRUE(8,5) = 1.D4 / (3.D0 * D12)
    193       DTRUE(1,6) = 4.D10 / (1.5D0 * D12 * D12)
    194       DTRUE(2,6) = 2.D-2 / 1.5D0
    195       DTRUE(8,6) = 5.D-7 * D12
    196       DTRUE(1,7) = 4.D0 / 150.D0
    197       DTRUE(2,7) = (2.D-10 / 1.5D0) * (D12 * D12)
    198       DTRUE(7,7) = -DTRUE(6,5)
    199       DTRUE(9,7) = 1.D4 / D12
    200       DTRUE(1,8) = DTRUE(1,7)
    201       DTRUE(2,8) = 2.D10 / (1.5D0 * D12 * D12)
    202       DTRUE(1,9) = 32.D0 / 7.D0
    203       DTRUE(2,9) = -16.D0 / 7.D0
    204 *     .. Executable Statements ..
    205 *
    206 *     Compute true values which cannot be prestored
    207 *     in decimal notation
    208 *
    209       DBTRUE(1) = 1.0D0/0.6D0
    210       DBTRUE(3) = -1.0D0/0.6D0
    211       DBTRUE(5) = 1.0D0/0.6D0
    212 *
    213       DO 20 K = 1, 8
    214 *        .. Set N=K for identification in output if any ..
    215          N = K
    216          IF (ICASE.EQ.3) THEN
    217 *           .. DROTG ..
    218             IF (K.GT.8) GO TO 40
    219             SA = DA1(K)
    220             SB = DB1(K)
    221             CALL DROTG(SA,SB,SC,SS)
    222             CALL STEST1(SA,DATRUE(K),DATRUE(K),SFAC)
    223             CALL STEST1(SB,DBTRUE(K),DBTRUE(K),SFAC)
    224             CALL STEST1(SC,DC1(K),DC1(K),SFAC)
    225             CALL STEST1(SS,DS1(K),DS1(K),SFAC)
    226          ELSEIF (ICASE.EQ.11) THEN
    227 *           .. DROTMG ..
    228             DO I=1,4
    229                DTEMP(I)= DAB(I,K)
    230                DTEMP(I+4) = 0.0
    231             END DO
    232             DTEMP(9) = 0.0
    233             CALL DROTMG(DTEMP(1),DTEMP(2),DTEMP(3),DTEMP(4),DTEMP(5))
    234             CALL STEST(9,DTEMP,DTRUE(1,K),DTRUE(1,K),SFAC)
    235          ELSE
    236             WRITE (NOUT,*) ' Shouldn''t be here in CHECK0'
    237             STOP
    238          END IF
    239    20 CONTINUE
    240    40 RETURN
    241       END
    242       SUBROUTINE CHECK1(SFAC)
    243 *     .. Parameters ..
    244       INTEGER           NOUT
    245       PARAMETER         (NOUT=6)
    246 *     .. Scalar Arguments ..
    247       DOUBLE PRECISION  SFAC
    248 *     .. Scalars in Common ..
    249       INTEGER           ICASE, INCX, INCY, N
    250       LOGICAL           PASS
    251 *     .. Local Scalars ..
    252       INTEGER           I, LEN, NP1
    253 *     .. Local Arrays ..
    254       DOUBLE PRECISION  DTRUE1(5), DTRUE3(5), DTRUE5(8,5,2), DV(8,5,2),
    255      +                  SA(10), STEMP(1), STRUE(8), SX(8)
    256       INTEGER           ITRUE2(5)
    257 *     .. External Functions ..
    258       DOUBLE PRECISION  DASUM, DNRM2
    259       INTEGER           IDAMAX
    260       EXTERNAL          DASUM, DNRM2, IDAMAX
    261 *     .. External Subroutines ..
    262       EXTERNAL          ITEST1, DSCAL, STEST, STEST1
    263 *     .. Intrinsic Functions ..
    264       INTRINSIC         MAX
    265 *     .. Common blocks ..
    266       COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
    267 *     .. Data statements ..
    268       DATA              SA/0.3D0, -1.0D0, 0.0D0, 1.0D0, 0.3D0, 0.3D0,
    269      +                  0.3D0, 0.3D0, 0.3D0, 0.3D0/
    270       DATA              DV/0.1D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
    271      +                  2.0D0, 2.0D0, 0.3D0, 3.0D0, 3.0D0, 3.0D0, 3.0D0,
    272      +                  3.0D0, 3.0D0, 3.0D0, 0.3D0, -0.4D0, 4.0D0,
    273      +                  4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, 0.2D0,
    274      +                  -0.6D0, 0.3D0, 5.0D0, 5.0D0, 5.0D0, 5.0D0,
    275      +                  5.0D0, 0.1D0, -0.3D0, 0.5D0, -0.1D0, 6.0D0,
    276      +                  6.0D0, 6.0D0, 6.0D0, 0.1D0, 8.0D0, 8.0D0, 8.0D0,
    277      +                  8.0D0, 8.0D0, 8.0D0, 8.0D0, 0.3D0, 9.0D0, 9.0D0,
    278      +                  9.0D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, 0.3D0, 2.0D0,
    279      +                  -0.4D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
    280      +                  0.2D0, 3.0D0, -0.6D0, 5.0D0, 0.3D0, 2.0D0,
    281      +                  2.0D0, 2.0D0, 0.1D0, 4.0D0, -0.3D0, 6.0D0,
    282      +                  -0.5D0, 7.0D0, -0.1D0, 3.0D0/
    283       DATA              DTRUE1/0.0D0, 0.3D0, 0.5D0, 0.7D0, 0.6D0/
    284       DATA              DTRUE3/0.0D0, 0.3D0, 0.7D0, 1.1D0, 1.0D0/
    285       DATA              DTRUE5/0.10D0, 2.0D0, 2.0D0, 2.0D0, 2.0D0,
    286      +                  2.0D0, 2.0D0, 2.0D0, -0.3D0, 3.0D0, 3.0D0,
    287      +                  3.0D0, 3.0D0, 3.0D0, 3.0D0, 3.0D0, 0.0D0, 0.0D0,
    288      +                  4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0, 4.0D0,
    289      +                  0.20D0, -0.60D0, 0.30D0, 5.0D0, 5.0D0, 5.0D0,
    290      +                  5.0D0, 5.0D0, 0.03D0, -0.09D0, 0.15D0, -0.03D0,
    291      +                  6.0D0, 6.0D0, 6.0D0, 6.0D0, 0.10D0, 8.0D0,
    292      +                  8.0D0, 8.0D0, 8.0D0, 8.0D0, 8.0D0, 8.0D0,
    293      +                  0.09D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0, 9.0D0,
    294      +                  9.0D0, 9.0D0, 0.09D0, 2.0D0, -0.12D0, 2.0D0,
    295      +                  2.0D0, 2.0D0, 2.0D0, 2.0D0, 0.06D0, 3.0D0,
    296      +                  -0.18D0, 5.0D0, 0.09D0, 2.0D0, 2.0D0, 2.0D0,
    297      +                  0.03D0, 4.0D0, -0.09D0, 6.0D0, -0.15D0, 7.0D0,
    298      +                  -0.03D0, 3.0D0/
    299       DATA              ITRUE2/0, 1, 2, 2, 3/
    300 *     .. Executable Statements ..
    301       DO 80 INCX = 1, 2
    302          DO 60 NP1 = 1, 5
    303             N = NP1 - 1
    304             LEN = 2*MAX(N,1)
    305 *           .. Set vector arguments ..
    306             DO 20 I = 1, LEN
    307                SX(I) = DV(I,NP1,INCX)
    308    20       CONTINUE
    309 *
    310             IF (ICASE.EQ.7) THEN
    311 *              .. DNRM2 ..
    312                STEMP(1) = DTRUE1(NP1)
    313                CALL STEST1(DNRM2(N,SX,INCX),STEMP(1),STEMP,SFAC)
    314             ELSE IF (ICASE.EQ.8) THEN
    315 *              .. DASUM ..
    316                STEMP(1) = DTRUE3(NP1)
    317                CALL STEST1(DASUM(N,SX,INCX),STEMP(1),STEMP,SFAC)
    318             ELSE IF (ICASE.EQ.9) THEN
    319 *              .. DSCAL ..
    320                CALL DSCAL(N,SA((INCX-1)*5+NP1),SX,INCX)
    321                DO 40 I = 1, LEN
    322                   STRUE(I) = DTRUE5(I,NP1,INCX)
    323    40          CONTINUE
    324                CALL STEST(LEN,SX,STRUE,STRUE,SFAC)
    325             ELSE IF (ICASE.EQ.10) THEN
    326 *              .. IDAMAX ..
    327                CALL ITEST1(IDAMAX(N,SX,INCX),ITRUE2(NP1))
    328             ELSE
    329                WRITE (NOUT,*) ' Shouldn''t be here in CHECK1'
    330                STOP
    331             END IF
    332    60    CONTINUE
    333    80 CONTINUE
    334       RETURN
    335       END
    336       SUBROUTINE CHECK2(SFAC)
    337 *     .. Parameters ..
    338       INTEGER           NOUT
    339       PARAMETER         (NOUT=6)
    340 *     .. Scalar Arguments ..
    341       DOUBLE PRECISION  SFAC
    342 *     .. Scalars in Common ..
    343       INTEGER           ICASE, INCX, INCY, N
    344       LOGICAL           PASS
    345 *     .. Local Scalars ..
    346       DOUBLE PRECISION  SA
    347       INTEGER           I, J, KI, KN, KNI, KPAR, KSIZE, LENX, LENY,
    348      $                  MX, MY 
    349 *     .. Local Arrays ..
    350       DOUBLE PRECISION  DT10X(7,4,4), DT10Y(7,4,4), DT7(4,4),
    351      $                  DT8(7,4,4), DX1(7),
    352      $                  DY1(7), SSIZE1(4), SSIZE2(14,2), SSIZE(7),
    353      $                  STX(7), STY(7), SX(7), SY(7),
    354      $                  DPAR(5,4), DT19X(7,4,16),DT19XA(7,4,4),
    355      $                  DT19XB(7,4,4), DT19XC(7,4,4),DT19XD(7,4,4),
    356      $                  DT19Y(7,4,16), DT19YA(7,4,4),DT19YB(7,4,4),
    357      $                  DT19YC(7,4,4), DT19YD(7,4,4), DTEMP(5)
    358       INTEGER           INCXS(4), INCYS(4), LENS(4,2), NS(4)
    359 *     .. External Functions ..
    360       DOUBLE PRECISION  DDOT, DSDOT
    361       EXTERNAL          DDOT, DSDOT
    362 *     .. External Subroutines ..
    363       EXTERNAL          DAXPY, DCOPY, DROTM, DSWAP, STEST, STEST1
    364 *     .. Intrinsic Functions ..
    365       INTRINSIC         ABS, MIN
    366 *     .. Common blocks ..
    367       COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
    368 *     .. Data statements ..
    369       EQUIVALENCE (DT19X(1,1,1),DT19XA(1,1,1)),(DT19X(1,1,5),
    370      A   DT19XB(1,1,1)),(DT19X(1,1,9),DT19XC(1,1,1)),
    371      B   (DT19X(1,1,13),DT19XD(1,1,1))
    372       EQUIVALENCE (DT19Y(1,1,1),DT19YA(1,1,1)),(DT19Y(1,1,5),
    373      A   DT19YB(1,1,1)),(DT19Y(1,1,9),DT19YC(1,1,1)),
    374      B   (DT19Y(1,1,13),DT19YD(1,1,1))
    375 
    376       DATA              SA/0.3D0/
    377       DATA              INCXS/1, 2, -2, -1/
    378       DATA              INCYS/1, -2, 1, -2/
    379       DATA              LENS/1, 1, 2, 4, 1, 1, 3, 7/
    380       DATA              NS/0, 1, 2, 4/
    381       DATA              DX1/0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.9D0, -0.3D0,
    382      +                  -0.4D0/
    383       DATA              DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0,
    384      +                  0.8D0/
    385       DATA              DT7/0.0D0, 0.30D0, 0.21D0, 0.62D0, 0.0D0,
    386      +                  0.30D0, -0.07D0, 0.85D0, 0.0D0, 0.30D0, -0.79D0,
    387      +                  -0.74D0, 0.0D0, 0.30D0, 0.33D0, 1.27D0/
    388       DATA              DT8/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    389      +                  0.0D0, 0.68D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    390      +                  0.0D0, 0.0D0, 0.68D0, -0.87D0, 0.0D0, 0.0D0,
    391      +                  0.0D0, 0.0D0, 0.0D0, 0.68D0, -0.87D0, 0.15D0,
    392      +                  0.94D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
    393      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.68D0,
    394      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    395      +                  0.35D0, -0.9D0, 0.48D0, 0.0D0, 0.0D0, 0.0D0,
    396      +                  0.0D0, 0.38D0, -0.9D0, 0.57D0, 0.7D0, -0.75D0,
    397      +                  0.2D0, 0.98D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0,
    398      +                  0.0D0, 0.0D0, 0.0D0, 0.68D0, 0.0D0, 0.0D0,
    399      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.35D0, -0.72D0,
    400      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.38D0,
    401      +                  -0.63D0, 0.15D0, 0.88D0, 0.0D0, 0.0D0, 0.0D0,
    402      +                  0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    403      +                  0.68D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    404      +                  0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.0D0, 0.0D0,
    405      +                  0.0D0, 0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.7D0,
    406      +                  -0.75D0, 0.2D0, 1.04D0/
    407       DATA              DT10X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    408      +                  0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    409      +                  0.0D0, 0.5D0, -0.9D0, 0.0D0, 0.0D0, 0.0D0,
    410      +                  0.0D0, 0.0D0, 0.5D0, -0.9D0, 0.3D0, 0.7D0,
    411      +                  0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0,
    412      +                  0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0,
    413      +                  0.0D0, 0.0D0, 0.0D0, 0.3D0, 0.1D0, 0.5D0, 0.0D0,
    414      +                  0.0D0, 0.0D0, 0.0D0, 0.8D0, 0.1D0, -0.6D0,
    415      +                  0.8D0, 0.3D0, -0.3D0, 0.5D0, 0.6D0, 0.0D0,
    416      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
    417      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.9D0,
    418      +                  0.1D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0,
    419      +                  0.1D0, 0.3D0, 0.8D0, -0.9D0, -0.3D0, 0.5D0,
    420      +                  0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    421      +                  0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    422      +                  0.5D0, 0.3D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    423      +                  0.5D0, 0.3D0, -0.6D0, 0.8D0, 0.0D0, 0.0D0,
    424      +                  0.0D0/
    425       DATA              DT10Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    426      +                  0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    427      +                  0.0D0, 0.6D0, 0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    428      +                  0.0D0, 0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.0D0,
    429      +                  0.0D0, 0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    430      +                  0.0D0, 0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    431      +                  0.0D0, 0.0D0, -0.5D0, -0.9D0, 0.6D0, 0.0D0,
    432      +                  0.0D0, 0.0D0, 0.0D0, -0.4D0, -0.9D0, 0.9D0,
    433      +                  0.7D0, -0.5D0, 0.2D0, 0.6D0, 0.5D0, 0.0D0,
    434      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0,
    435      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.5D0,
    436      +                  0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    437      +                  -0.4D0, 0.9D0, -0.5D0, 0.6D0, 0.0D0, 0.0D0,
    438      +                  0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    439      +                  0.0D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    440      +                  0.0D0, 0.6D0, -0.9D0, 0.1D0, 0.0D0, 0.0D0,
    441      +                  0.0D0, 0.0D0, 0.6D0, -0.9D0, 0.1D0, 0.7D0,
    442      +                  -0.5D0, 0.2D0, 0.8D0/
    443       DATA              SSIZE1/0.0D0, 0.3D0, 1.6D0, 3.2D0/
    444       DATA              SSIZE2/0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    445      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    446      +                  0.0D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
    447      +                  1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
    448      +                  1.17D0, 1.17D0, 1.17D0/
    449 *
    450 *                         FOR DROTM
    451 *
    452       DATA DPAR/-2.D0,  0.D0,0.D0,0.D0,0.D0,
    453      A          -1.D0,  2.D0, -3.D0, -4.D0,  5.D0,
    454      B           0.D0,  0.D0,  2.D0, -3.D0,  0.D0,
    455      C           1.D0,  5.D0,  2.D0,  0.D0, -4.D0/
    456 *                        TRUE X RESULTS F0R ROTATIONS DROTM
    457       DATA DT19XA/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    458      A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    459      B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    460      C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    461      D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    462      E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    463      F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    464      G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    465      H            .6D0,   .1D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    466      I           -.8D0,  3.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    467      J           -.9D0,  2.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    468      K           3.5D0,  -.4D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    469      L            .6D0,   .1D0,  -.5D0,   .8D0,          0.D0,0.D0,0.D0,
    470      M           -.8D0,  3.8D0, -2.2D0, -1.2D0,          0.D0,0.D0,0.D0,
    471      N           -.9D0,  2.8D0, -1.4D0, -1.3D0,          0.D0,0.D0,0.D0,
    472      O           3.5D0,  -.4D0, -2.2D0,  4.7D0,          0.D0,0.D0,0.D0/
    473 *
    474       DATA DT19XB/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    475      A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    476      B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    477      C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    478      D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    479      E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    480      F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    481      G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    482      H            .6D0,   .1D0,  -.5D0,             0.D0,0.D0,0.D0,0.D0,
    483      I           0.D0,    .1D0, -3.0D0,             0.D0,0.D0,0.D0,0.D0,
    484      J           -.3D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
    485      K           3.3D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
    486      L            .6D0,   .1D0,  -.5D0,   .8D0,   .9D0,  -.3D0,  -.4D0,
    487      M          -2.0D0,   .1D0,  1.4D0,   .8D0,   .6D0,  -.3D0, -2.8D0,
    488      N          -1.8D0,   .1D0,  1.3D0,   .8D0,  0.D0,   -.3D0, -1.9D0,
    489      O           3.8D0,   .1D0, -3.1D0,   .8D0,  4.8D0,  -.3D0, -1.5D0 /
    490 *
    491       DATA DT19XC/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    492      A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    493      B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    494      C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    495      D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    496      E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    497      F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    498      G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    499      H            .6D0,   .1D0,  -.5D0,             0.D0,0.D0,0.D0,0.D0,
    500      I           4.8D0,   .1D0, -3.0D0,             0.D0,0.D0,0.D0,0.D0,
    501      J           3.3D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
    502      K           2.1D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
    503      L            .6D0,   .1D0,  -.5D0,   .8D0,   .9D0,  -.3D0,  -.4D0,
    504      M          -1.6D0,   .1D0, -2.2D0,   .8D0,  5.4D0,  -.3D0, -2.8D0,
    505      N          -1.5D0,   .1D0, -1.4D0,   .8D0,  3.6D0,  -.3D0, -1.9D0,
    506      O           3.7D0,   .1D0, -2.2D0,   .8D0,  3.6D0,  -.3D0, -1.5D0 /
    507 *
    508       DATA DT19XD/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    509      A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    510      B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    511      C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    512      D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    513      E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    514      F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    515      G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    516      H            .6D0,   .1D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    517      I           -.8D0, -1.0D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    518      J           -.9D0,  -.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    519      K           3.5D0,   .8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    520      L            .6D0,   .1D0,  -.5D0,   .8D0,          0.D0,0.D0,0.D0,
    521      M           -.8D0, -1.0D0,  1.4D0, -1.6D0,          0.D0,0.D0,0.D0,
    522      N           -.9D0,  -.8D0,  1.3D0, -1.6D0,          0.D0,0.D0,0.D0,
    523      O           3.5D0,   .8D0, -3.1D0,  4.8D0,          0.D0,0.D0,0.D0/
    524 *                        TRUE Y RESULTS FOR ROTATIONS DROTM
    525       DATA DT19YA/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    526      A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    527      B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    528      C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    529      D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    530      E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    531      F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    532      G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    533      H            .5D0,  -.9D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    534      I            .7D0, -4.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    535      J           1.7D0,  -.7D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    536      K          -2.6D0,  3.5D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    537      L            .5D0,  -.9D0,   .3D0,   .7D0,          0.D0,0.D0,0.D0,
    538      M            .7D0, -4.8D0,  3.0D0,  1.1D0,          0.D0,0.D0,0.D0,
    539      N           1.7D0,  -.7D0,  -.7D0,  2.3D0,          0.D0,0.D0,0.D0,
    540      O          -2.6D0,  3.5D0,  -.7D0, -3.6D0,          0.D0,0.D0,0.D0/
    541 *
    542       DATA DT19YB/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    543      A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    544      B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    545      C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    546      D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    547      E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    548      F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    549      G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    550      H            .5D0,  -.9D0,   .3D0,             0.D0,0.D0,0.D0,0.D0,
    551      I           4.0D0,  -.9D0,  -.3D0,             0.D0,0.D0,0.D0,0.D0,
    552      J           -.5D0,  -.9D0,  1.5D0,             0.D0,0.D0,0.D0,0.D0,
    553      K          -1.5D0,  -.9D0, -1.8D0,             0.D0,0.D0,0.D0,0.D0,
    554      L            .5D0,  -.9D0,   .3D0,   .7D0,  -.6D0,   .2D0,   .8D0,
    555      M           3.7D0,  -.9D0, -1.2D0,   .7D0, -1.5D0,   .2D0,  2.2D0,
    556      N           -.3D0,  -.9D0,  2.1D0,   .7D0, -1.6D0,   .2D0,  2.0D0,
    557      O          -1.6D0,  -.9D0, -2.1D0,   .7D0,  2.9D0,   .2D0, -3.8D0 /
    558 *
    559       DATA DT19YC/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    560      A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    561      B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    562      C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    563      D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    564      E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    565      F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    566      G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    567      H            .5D0,  -.9D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    568      I           4.0D0, -6.3D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    569      J           -.5D0,   .3D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    570      K          -1.5D0,  3.0D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
    571      L            .5D0,  -.9D0,   .3D0,   .7D0,          0.D0,0.D0,0.D0,
    572      M           3.7D0, -7.2D0,  3.0D0,  1.7D0,          0.D0,0.D0,0.D0,
    573      N           -.3D0,   .9D0,  -.7D0,  1.9D0,          0.D0,0.D0,0.D0,
    574      O          -1.6D0,  2.7D0,  -.7D0, -3.4D0,          0.D0,0.D0,0.D0/
    575 *
    576       DATA DT19YD/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    577      A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    578      B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    579      C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    580      D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    581      E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    582      F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    583      G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
    584      H            .5D0,  -.9D0,   .3D0,             0.D0,0.D0,0.D0,0.D0,
    585      I            .7D0,  -.9D0,  1.2D0,             0.D0,0.D0,0.D0,0.D0,
    586      J           1.7D0,  -.9D0,   .5D0,             0.D0,0.D0,0.D0,0.D0,
    587      K          -2.6D0,  -.9D0, -1.3D0,             0.D0,0.D0,0.D0,0.D0,
    588      L            .5D0,  -.9D0,   .3D0,   .7D0,  -.6D0,   .2D0,   .8D0,
    589      M            .7D0,  -.9D0,  1.2D0,   .7D0, -1.5D0,   .2D0,  1.6D0,
    590      N           1.7D0,  -.9D0,   .5D0,   .7D0, -1.6D0,   .2D0,  2.4D0,
    591      O          -2.6D0,  -.9D0, -1.3D0,   .7D0,  2.9D0,   .2D0, -4.0D0 /
    592 *    
    593 *     .. Executable Statements ..
    594 *
    595       DO 120 KI = 1, 4
    596          INCX = INCXS(KI)
    597          INCY = INCYS(KI)
    598          MX = ABS(INCX)
    599          MY = ABS(INCY)
    600 *
    601          DO 100 KN = 1, 4
    602             N = NS(KN)
    603             KSIZE = MIN(2,KN)
    604             LENX = LENS(KN,MX)
    605             LENY = LENS(KN,MY)
    606 *           .. Initialize all argument arrays ..
    607             DO 20 I = 1, 7
    608                SX(I) = DX1(I)
    609                SY(I) = DY1(I)
    610    20       CONTINUE
    611 *
    612             IF (ICASE.EQ.1) THEN
    613 *              .. DDOT ..
    614                CALL STEST1(DDOT(N,SX,INCX,SY,INCY),DT7(KN,KI),SSIZE1(KN)
    615      +                     ,SFAC)
    616             ELSE IF (ICASE.EQ.2) THEN
    617 *              .. DAXPY ..
    618                CALL DAXPY(N,SA,SX,INCX,SY,INCY)
    619                DO 40 J = 1, LENY
    620                   STY(J) = DT8(J,KN,KI)
    621    40          CONTINUE
    622                CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
    623             ELSE IF (ICASE.EQ.5) THEN
    624 *              .. DCOPY ..
    625                DO 60 I = 1, 7
    626                   STY(I) = DT10Y(I,KN,KI)
    627    60          CONTINUE
    628                CALL DCOPY(N,SX,INCX,SY,INCY)
    629                CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0)
    630             ELSE IF (ICASE.EQ.6) THEN
    631 *              .. DSWAP ..
    632                CALL DSWAP(N,SX,INCX,SY,INCY)
    633                DO 80 I = 1, 7
    634                   STX(I) = DT10X(I,KN,KI)
    635                   STY(I) = DT10Y(I,KN,KI)
    636    80          CONTINUE
    637                CALL STEST(LENX,SX,STX,SSIZE2(1,1),1.0D0)
    638                CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0)
    639             ELSE IF (ICASE.EQ.12) THEN
    640 *              .. DROTM ..
    641                KNI=KN+4*(KI-1)
    642                DO KPAR=1,4
    643                   DO I=1,7
    644                      SX(I) = DX1(I)
    645                      SY(I) = DY1(I)
    646                      STX(I)= DT19X(I,KPAR,KNI)
    647                      STY(I)= DT19Y(I,KPAR,KNI)
    648                   END DO
    649 *
    650                   DO I=1,5
    651                      DTEMP(I) = DPAR(I,KPAR)
    652                   END DO
    653 *
    654                   DO  I=1,LENX
    655                      SSIZE(I)=STX(I)
    656                   END DO
    657 *                   SEE REMARK ABOVE ABOUT DT11X(1,2,7)
    658 *                       AND DT11X(5,3,8).
    659                   IF ((KPAR .EQ. 2) .AND. (KNI .EQ. 7))
    660      $               SSIZE(1) = 2.4D0
    661                   IF ((KPAR .EQ. 3) .AND. (KNI .EQ. 8))
    662      $               SSIZE(5) = 1.8D0
    663 *
    664                   CALL   DROTM(N,SX,INCX,SY,INCY,DTEMP)
    665                   CALL   STEST(LENX,SX,STX,SSIZE,SFAC)
    666                   CALL   STEST(LENY,SY,STY,STY,SFAC)
    667                END DO
    668             ELSE IF (ICASE.EQ.13) THEN
    669 *              .. DSDOT ..
    670             CALL TESTDSDOT(REAL(DSDOT(N,REAL(SX),INCX,REAL(SY),INCY)),
    671      $                 REAL(DT7(KN,KI)),REAL(SSIZE1(KN)), .3125E-1)
    672             ELSE
    673                WRITE (NOUT,*) ' Shouldn''t be here in CHECK2'
    674                STOP
    675             END IF
    676   100    CONTINUE
    677   120 CONTINUE
    678       RETURN
    679       END
    680       SUBROUTINE CHECK3(SFAC)
    681 *     .. Parameters ..
    682       INTEGER           NOUT
    683       PARAMETER         (NOUT=6)
    684 *     .. Scalar Arguments ..
    685       DOUBLE PRECISION  SFAC
    686 *     .. Scalars in Common ..
    687       INTEGER           ICASE, INCX, INCY, N
    688       LOGICAL           PASS
    689 *     .. Local Scalars ..
    690       DOUBLE PRECISION  SC, SS
    691       INTEGER           I, K, KI, KN, KSIZE, LENX, LENY, MX, MY
    692 *     .. Local Arrays ..
    693       DOUBLE PRECISION  COPYX(5), COPYY(5), DT9X(7,4,4), DT9Y(7,4,4),
    694      +                  DX1(7), DY1(7), MWPC(11), MWPS(11), MWPSTX(5),
    695      +                  MWPSTY(5), MWPTX(11,5), MWPTY(11,5), MWPX(5),
    696      +                  MWPY(5), SSIZE2(14,2), STX(7), STY(7), SX(7),
    697      +                  SY(7)
    698       INTEGER           INCXS(4), INCYS(4), LENS(4,2), MWPINX(11),
    699      +                  MWPINY(11), MWPN(11), NS(4)
    700 *     .. External Subroutines ..
    701       EXTERNAL          DROT, STEST
    702 *     .. Intrinsic Functions ..
    703       INTRINSIC         ABS, MIN
    704 *     .. Common blocks ..
    705       COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
    706 *     .. Data statements ..
    707       DATA              INCXS/1, 2, -2, -1/
    708       DATA              INCYS/1, -2, 1, -2/
    709       DATA              LENS/1, 1, 2, 4, 1, 1, 3, 7/
    710       DATA              NS/0, 1, 2, 4/
    711       DATA              DX1/0.6D0, 0.1D0, -0.5D0, 0.8D0, 0.9D0, -0.3D0,
    712      +                  -0.4D0/
    713       DATA              DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0,
    714      +                  0.8D0/
    715       DATA              SC, SS/0.8D0, 0.6D0/
    716       DATA              DT9X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    717      +                  0.0D0, 0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    718      +                  0.0D0, 0.0D0, 0.78D0, -0.46D0, 0.0D0, 0.0D0,
    719      +                  0.0D0, 0.0D0, 0.0D0, 0.78D0, -0.46D0, -0.22D0,
    720      +                  1.06D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0,
    721      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.78D0,
    722      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    723      +                  0.66D0, 0.1D0, -0.1D0, 0.0D0, 0.0D0, 0.0D0,
    724      +                  0.0D0, 0.96D0, 0.1D0, -0.76D0, 0.8D0, 0.90D0,
    725      +                  -0.3D0, -0.02D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0,
    726      +                  0.0D0, 0.0D0, 0.0D0, 0.78D0, 0.0D0, 0.0D0,
    727      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.06D0, 0.1D0,
    728      +                  -0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.90D0,
    729      +                  0.1D0, -0.22D0, 0.8D0, 0.18D0, -0.3D0, -0.02D0,
    730      +                  0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    731      +                  0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    732      +                  0.0D0, 0.78D0, 0.26D0, 0.0D0, 0.0D0, 0.0D0,
    733      +                  0.0D0, 0.0D0, 0.78D0, 0.26D0, -0.76D0, 1.12D0,
    734      +                  0.0D0, 0.0D0, 0.0D0/
    735       DATA              DT9Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    736      +                  0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    737      +                  0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.0D0, 0.0D0,
    738      +                  0.0D0, 0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.54D0,
    739      +                  0.08D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
    740      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.04D0,
    741      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0,
    742      +                  -0.9D0, -0.12D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    743      +                  0.64D0, -0.9D0, -0.30D0, 0.7D0, -0.18D0, 0.2D0,
    744      +                  0.28D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    745      +                  0.0D0, 0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0,
    746      +                  0.0D0, 0.0D0, 0.0D0, 0.7D0, -1.08D0, 0.0D0,
    747      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.64D0, -1.26D0,
    748      +                  0.54D0, 0.20D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0,
    749      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    750      +                  0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    751      +                  0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.0D0, 0.0D0,
    752      +                  0.0D0, 0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.7D0,
    753      +                  -0.18D0, 0.2D0, 0.16D0/
    754       DATA              SSIZE2/0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    755      +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
    756      +                  0.0D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
    757      +                  1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
    758      +                  1.17D0, 1.17D0, 1.17D0/
    759 *     .. Executable Statements ..
    760 *
    761       DO 60 KI = 1, 4
    762          INCX = INCXS(KI)
    763          INCY = INCYS(KI)
    764          MX = ABS(INCX)
    765          MY = ABS(INCY)
    766 *
    767          DO 40 KN = 1, 4
    768             N = NS(KN)
    769             KSIZE = MIN(2,KN)
    770             LENX = LENS(KN,MX)
    771             LENY = LENS(KN,MY)
    772 *
    773             IF (ICASE.EQ.4) THEN
    774 *              .. DROT ..
    775                DO 20 I = 1, 7
    776                   SX(I) = DX1(I)
    777                   SY(I) = DY1(I)
    778                   STX(I) = DT9X(I,KN,KI)
    779                   STY(I) = DT9Y(I,KN,KI)
    780    20          CONTINUE
    781                CALL DROT(N,SX,INCX,SY,INCY,SC,SS)
    782                CALL STEST(LENX,SX,STX,SSIZE2(1,KSIZE),SFAC)
    783                CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
    784             ELSE
    785                WRITE (NOUT,*) ' Shouldn''t be here in CHECK3'
    786                STOP
    787             END IF
    788    40    CONTINUE
    789    60 CONTINUE
    790 *
    791       MWPC(1) = 1
    792       DO 80 I = 2, 11
    793          MWPC(I) = 0
    794    80 CONTINUE
    795       MWPS(1) = 0
    796       DO 100 I = 2, 6
    797          MWPS(I) = 1
    798   100 CONTINUE
    799       DO 120 I = 7, 11
    800          MWPS(I) = -1
    801   120 CONTINUE
    802       MWPINX(1) = 1
    803       MWPINX(2) = 1
    804       MWPINX(3) = 1
    805       MWPINX(4) = -1
    806       MWPINX(5) = 1
    807       MWPINX(6) = -1
    808       MWPINX(7) = 1
    809       MWPINX(8) = 1
    810       MWPINX(9) = -1
    811       MWPINX(10) = 1
    812       MWPINX(11) = -1
    813       MWPINY(1) = 1
    814       MWPINY(2) = 1
    815       MWPINY(3) = -1
    816       MWPINY(4) = -1
    817       MWPINY(5) = 2
    818       MWPINY(6) = 1
    819       MWPINY(7) = 1
    820       MWPINY(8) = -1
    821       MWPINY(9) = -1
    822       MWPINY(10) = 2
    823       MWPINY(11) = 1
    824       DO 140 I = 1, 11
    825          MWPN(I) = 5
    826   140 CONTINUE
    827       MWPN(5) = 3
    828       MWPN(10) = 3
    829       DO 160 I = 1, 5
    830          MWPX(I) = I
    831          MWPY(I) = I
    832          MWPTX(1,I) = I
    833          MWPTY(1,I) = I
    834          MWPTX(2,I) = I
    835          MWPTY(2,I) = -I
    836          MWPTX(3,I) = 6 - I
    837          MWPTY(3,I) = I - 6
    838          MWPTX(4,I) = I
    839          MWPTY(4,I) = -I
    840          MWPTX(6,I) = 6 - I
    841          MWPTY(6,I) = I - 6
    842          MWPTX(7,I) = -I
    843          MWPTY(7,I) = I
    844          MWPTX(8,I) = I - 6
    845          MWPTY(8,I) = 6 - I
    846          MWPTX(9,I) = -I
    847          MWPTY(9,I) = I
    848          MWPTX(11,I) = I - 6
    849          MWPTY(11,I) = 6 - I
    850   160 CONTINUE
    851       MWPTX(5,1) = 1
    852       MWPTX(5,2) = 3
    853       MWPTX(5,3) = 5
    854       MWPTX(5,4) = 4
    855       MWPTX(5,5) = 5
    856       MWPTY(5,1) = -1
    857       MWPTY(5,2) = 2
    858       MWPTY(5,3) = -2
    859       MWPTY(5,4) = 4
    860       MWPTY(5,5) = -3
    861       MWPTX(10,1) = -1
    862       MWPTX(10,2) = -3
    863       MWPTX(10,3) = -5
    864       MWPTX(10,4) = 4
    865       MWPTX(10,5) = 5
    866       MWPTY(10,1) = 1
    867       MWPTY(10,2) = 2
    868       MWPTY(10,3) = 2
    869       MWPTY(10,4) = 4
    870       MWPTY(10,5) = 3
    871       DO 200 I = 1, 11
    872          INCX = MWPINX(I)
    873          INCY = MWPINY(I)
    874          DO 180 K = 1, 5
    875             COPYX(K) = MWPX(K)
    876             COPYY(K) = MWPY(K)
    877             MWPSTX(K) = MWPTX(I,K)
    878             MWPSTY(K) = MWPTY(I,K)
    879   180    CONTINUE
    880          CALL DROT(MWPN(I),COPYX,INCX,COPYY,INCY,MWPC(I),MWPS(I))
    881          CALL STEST(5,COPYX,MWPSTX,MWPSTX,SFAC)
    882          CALL STEST(5,COPYY,MWPSTY,MWPSTY,SFAC)
    883   200 CONTINUE
    884       RETURN
    885       END
    886       SUBROUTINE STEST(LEN,SCOMP,STRUE,SSIZE,SFAC)
    887 *     ********************************* STEST **************************
    888 *
    889 *     THIS SUBR COMPARES ARRAYS  SCOMP() AND STRUE() OF LENGTH LEN TO
    890 *     SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE
    891 *     NEGLIGIBLE.
    892 *
    893 *     C. L. LAWSON, JPL, 1974 DEC 10
    894 *
    895 *     .. Parameters ..
    896       INTEGER          NOUT
    897       DOUBLE PRECISION ZERO
    898       PARAMETER        (NOUT=6, ZERO=0.0D0)
    899 *     .. Scalar Arguments ..
    900       DOUBLE PRECISION SFAC
    901       INTEGER          LEN
    902 *     .. Array Arguments ..
    903       DOUBLE PRECISION SCOMP(LEN), SSIZE(LEN), STRUE(LEN)
    904 *     .. Scalars in Common ..
    905       INTEGER          ICASE, INCX, INCY, N
    906       LOGICAL          PASS
    907 *     .. Local Scalars ..
    908       DOUBLE PRECISION SD
    909       INTEGER          I
    910 *     .. External Functions ..
    911       DOUBLE PRECISION SDIFF
    912       EXTERNAL         SDIFF
    913 *     .. Intrinsic Functions ..
    914       INTRINSIC        ABS
    915 *     .. Common blocks ..
    916       COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
    917 *     .. Executable Statements ..
    918 *
    919       DO 40 I = 1, LEN
    920          SD = SCOMP(I) - STRUE(I)
    921          IF (ABS(SFAC*SD) .LE. ABS(SSIZE(I))*EPSILON(ZERO))
    922      +       GO TO 40
    923 *
    924 *                             HERE    SCOMP(I) IS NOT CLOSE TO STRUE(I).
    925 *
    926          IF ( .NOT. PASS) GO TO 20
    927 *                             PRINT FAIL MESSAGE AND HEADER.
    928          PASS = .FALSE.
    929          WRITE (NOUT,99999)
    930          WRITE (NOUT,99998)
    931    20    WRITE (NOUT,99997) ICASE, N, INCX, INCY, I, SCOMP(I),
    932      +     STRUE(I), SD, SSIZE(I)
    933    40 CONTINUE
    934       RETURN
    935 *
    936 99999 FORMAT ('                                       FAIL')
    937 99998 FORMAT (/' CASE  N INCX INCY  I                            ',
    938      +       ' COMP(I)                             TRUE(I)  DIFFERENCE',
    939      +       '     SIZE(I)',/1X)
    940 99997 FORMAT (1X,I4,I3,2I5,I3,2D36.8,2D12.4)
    941       END
    942       SUBROUTINE TESTDSDOT(SCOMP,STRUE,SSIZE,SFAC)
    943 *     ********************************* STEST **************************
    944 *
    945 *     THIS SUBR COMPARES ARRAYS  SCOMP() AND STRUE() OF LENGTH LEN TO
    946 *     SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE
    947 *     NEGLIGIBLE.
    948 *
    949 *     C. L. LAWSON, JPL, 1974 DEC 10
    950 *
    951 *     .. Parameters ..
    952       INTEGER          NOUT
    953       REAL             ZERO
    954       PARAMETER        (NOUT=6, ZERO=0.0E0)
    955 *     .. Scalar Arguments ..
    956       REAL             SFAC, SCOMP, SSIZE, STRUE
    957 *     .. Scalars in Common ..
    958       INTEGER          ICASE, INCX, INCY, N
    959       LOGICAL          PASS
    960 *     .. Local Scalars ..
    961       REAL             SD
    962 *     .. Intrinsic Functions ..
    963       INTRINSIC        ABS
    964 *     .. Common blocks ..
    965       COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
    966 *     .. Executable Statements ..
    967 *
    968          SD = SCOMP - STRUE
    969          IF (ABS(SFAC*SD) .LE. ABS(SSIZE) * EPSILON(ZERO))
    970      +       GO TO 40
    971 *
    972 *                             HERE    SCOMP(I) IS NOT CLOSE TO STRUE(I).
    973 *
    974          IF ( .NOT. PASS) GO TO 20
    975 *                             PRINT FAIL MESSAGE AND HEADER.
    976          PASS = .FALSE.
    977          WRITE (NOUT,99999)
    978          WRITE (NOUT,99998)
    979    20    WRITE (NOUT,99997) ICASE, N, INCX, INCY, SCOMP,
    980      +     STRUE, SD, SSIZE
    981    40 CONTINUE
    982       RETURN
    983 *
    984 99999 FORMAT ('                                       FAIL')
    985 99998 FORMAT (/' CASE  N INCX INCY                           ',
    986      +       ' COMP(I)                             TRUE(I)  DIFFERENCE',
    987      +       '     SIZE(I)',/1X)
    988 99997 FORMAT (1X,I4,I3,1I5,I3,2E36.8,2E12.4)
    989       END
    990       SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC)
    991 *     ************************* STEST1 *****************************
    992 *
    993 *     THIS IS AN INTERFACE SUBROUTINE TO ACCOMODATE THE FORTRAN
    994 *     REQUIREMENT THAT WHEN A DUMMY ARGUMENT IS AN ARRAY, THE
    995 *     ACTUAL ARGUMENT MUST ALSO BE AN ARRAY OR AN ARRAY ELEMENT.
    996 *
    997 *     C.L. LAWSON, JPL, 1978 DEC 6
    998 *
    999 *     .. Scalar Arguments ..
   1000       DOUBLE PRECISION  SCOMP1, SFAC, STRUE1
   1001 *     .. Array Arguments ..
   1002       DOUBLE PRECISION  SSIZE(*)
   1003 *     .. Local Arrays ..
   1004       DOUBLE PRECISION  SCOMP(1), STRUE(1)
   1005 *     .. External Subroutines ..
   1006       EXTERNAL          STEST
   1007 *     .. Executable Statements ..
   1008 *
   1009       SCOMP(1) = SCOMP1
   1010       STRUE(1) = STRUE1
   1011       CALL STEST(1,SCOMP,STRUE,SSIZE,SFAC)
   1012 *
   1013       RETURN
   1014       END
   1015       DOUBLE PRECISION FUNCTION SDIFF(SA,SB)
   1016 *     ********************************* SDIFF **************************
   1017 *     COMPUTES DIFFERENCE OF TWO NUMBERS.  C. L. LAWSON, JPL 1974 FEB 15
   1018 *
   1019 *     .. Scalar Arguments ..
   1020       DOUBLE PRECISION                SA, SB
   1021 *     .. Executable Statements ..
   1022       SDIFF = SA - SB
   1023       RETURN
   1024       END
   1025       SUBROUTINE ITEST1(ICOMP,ITRUE)
   1026 *     ********************************* ITEST1 *************************
   1027 *
   1028 *     THIS SUBROUTINE COMPARES THE VARIABLES ICOMP AND ITRUE FOR
   1029 *     EQUALITY.
   1030 *     C. L. LAWSON, JPL, 1974 DEC 10
   1031 *
   1032 *     .. Parameters ..
   1033       INTEGER           NOUT
   1034       PARAMETER         (NOUT=6)
   1035 *     .. Scalar Arguments ..
   1036       INTEGER           ICOMP, ITRUE
   1037 *     .. Scalars in Common ..
   1038       INTEGER           ICASE, INCX, INCY, N
   1039       LOGICAL           PASS
   1040 *     .. Local Scalars ..
   1041       INTEGER           ID
   1042 *     .. Common blocks ..
   1043       COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
   1044 *     .. Executable Statements ..
   1045 *
   1046       IF (ICOMP.EQ.ITRUE) GO TO 40
   1047 *
   1048 *                            HERE ICOMP IS NOT EQUAL TO ITRUE.
   1049 *
   1050       IF ( .NOT. PASS) GO TO 20
   1051 *                             PRINT FAIL MESSAGE AND HEADER.
   1052       PASS = .FALSE.
   1053       WRITE (NOUT,99999)
   1054       WRITE (NOUT,99998)
   1055    20 ID = ICOMP - ITRUE
   1056       WRITE (NOUT,99997) ICASE, N, INCX, INCY, ICOMP, ITRUE, ID
   1057    40 CONTINUE
   1058       RETURN
   1059 *
   1060 99999 FORMAT ('                                       FAIL')
   1061 99998 FORMAT (/' CASE  N INCX INCY                               ',
   1062      +       ' COMP                                TRUE     DIFFERENCE',
   1063      +       /1X)
   1064 99997 FORMAT (1X,I4,I3,2I5,2I36,I12)
   1065       END
   1066