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      1 *> \brief \b SBLAT1
      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 SBLAT1
     12 * 
     13 *
     14 *> \par Purpose:
     15 *  =============
     16 *>
     17 *> \verbatim
     18 *>
     19 *>    Test program for the REAL 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 single_blas_testing
     36 *
     37 *  =====================================================================
     38       PROGRAM SBLAT1
     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       REAL             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/9.765625E-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)/' SDOT '/
    108       DATA             L(2)/'SAXPY '/
    109       DATA             L(3)/'SROTG '/
    110       DATA             L(4)/' SROT '/
    111       DATA             L(5)/'SCOPY '/
    112       DATA             L(6)/'SSWAP '/
    113       DATA             L(7)/'SNRM2 '/
    114       DATA             L(8)/'SASUM '/
    115       DATA             L(9)/'SSCAL '/
    116       DATA             L(10)/'ISAMAX'/
    117       DATA             L(11)/'SROTMG'/
    118       DATA             L(12)/'SROTM '/
    119       DATA             L(13)/'SDSDOT'/
    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       REAL              SFAC
    132 *     .. Scalars in Common ..
    133       INTEGER           ICASE, INCX, INCY, N
    134       LOGICAL           PASS
    135 *     .. Local Scalars ..
    136       REAL              D12, SA, SB, SC, SS
    137       INTEGER           I, K
    138 *     .. Local Arrays ..
    139       REAL              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          SROTG, SROTMG, STEST1
    143 *     .. Common blocks ..
    144       COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
    145 *     .. Data statements ..
    146       DATA              DA1/0.3E0, 0.4E0, -0.3E0, -0.4E0, -0.3E0, 0.0E0,
    147      +                  0.0E0, 1.0E0/
    148       DATA              DB1/0.4E0, 0.3E0, 0.4E0, 0.3E0, -0.4E0, 0.0E0,
    149      +                  1.0E0, 0.0E0/
    150       DATA              DC1/0.6E0, 0.8E0, -0.6E0, 0.8E0, 0.6E0, 1.0E0,
    151      +                  0.0E0, 1.0E0/
    152       DATA              DS1/0.8E0, 0.6E0, 0.8E0, -0.6E0, 0.8E0, 0.0E0,
    153      +                  1.0E0, 0.0E0/
    154       DATA              DATRUE/0.5E0, 0.5E0, 0.5E0, -0.5E0, -0.5E0,
    155      +                  0.0E0, 1.0E0, 1.0E0/
    156       DATA              DBTRUE/0.0E0, 0.6E0, 0.0E0, -0.6E0, 0.0E0,
    157      +                  0.0E0, 1.0E0, 0.0E0/
    158 *     INPUT FOR MODIFIED GIVENS
    159       DATA DAB/ .1E0,.3E0,1.2E0,.2E0,
    160      A          .7E0, .2E0, .6E0, 4.2E0,
    161      B          0.E0,0.E0,0.E0,0.E0,
    162      C          4.E0, -1.E0, 2.E0, 4.E0,
    163      D          6.E-10, 2.E-2, 1.E5, 10.E0,
    164      E          4.E10, 2.E-2, 1.E-5, 10.E0,
    165      F          2.E-10, 4.E-2, 1.E5, 10.E0,
    166      G          2.E10, 4.E-2, 1.E-5, 10.E0,
    167      H          4.E0, -2.E0, 8.E0, 4.E0    /
    168 *    TRUE RESULTS FOR MODIFIED GIVENS
    169       DATA DTRUE/0.E0,0.E0, 1.3E0, .2E0, 0.E0,0.E0,0.E0, .5E0, 0.E0,
    170      A           0.E0,0.E0, 4.5E0, 4.2E0, 1.E0, .5E0, 0.E0,0.E0,0.E0,
    171      B           0.E0,0.E0,0.E0,0.E0, -2.E0, 0.E0,0.E0,0.E0,0.E0,
    172      C           0.E0,0.E0,0.E0, 4.E0, -1.E0, 0.E0,0.E0,0.E0,0.E0,
    173      D           0.E0, 15.E-3, 0.E0, 10.E0, -1.E0, 0.E0, -1.E-4,
    174      E           0.E0, 1.E0,
    175      F           0.E0,0.E0, 6144.E-5, 10.E0, -1.E0, 4096.E0, -1.E6,
    176      G           0.E0, 1.E0,
    177      H           0.E0,0.E0,15.E0,10.E0,-1.E0, 5.E-5, 0.E0,1.E0,0.E0,
    178      I           0.E0,0.E0, 15.E0, 10.E0, -1. E0, 5.E5, -4096.E0,
    179      J           1.E0, 4096.E-6,
    180      K           0.E0,0.E0, 7.E0, 4.E0, 0.E0,0.E0, -.5E0, -.25E0, 0.E0/
    181 *                   4096 = 2 ** 12
    182       DATA D12  /4096.E0/
    183       DTRUE(1,1) = 12.E0 / 130.E0
    184       DTRUE(2,1) = 36.E0 / 130.E0
    185       DTRUE(7,1) = -1.E0 / 6.E0
    186       DTRUE(1,2) = 14.E0 / 75.E0
    187       DTRUE(2,2) = 49.E0 / 75.E0
    188       DTRUE(9,2) = 1.E0 / 7.E0
    189       DTRUE(1,5) = 45.E-11 * (D12 * D12)
    190       DTRUE(3,5) = 4.E5 / (3.E0 * D12)
    191       DTRUE(6,5) = 1.E0 / D12
    192       DTRUE(8,5) = 1.E4 / (3.E0 * D12)
    193       DTRUE(1,6) = 4.E10 / (1.5E0 * D12 * D12)
    194       DTRUE(2,6) = 2.E-2 / 1.5E0
    195       DTRUE(8,6) = 5.E-7 * D12
    196       DTRUE(1,7) = 4.E0 / 150.E0
    197       DTRUE(2,7) = (2.E-10 / 1.5E0) * (D12 * D12)
    198       DTRUE(7,7) = -DTRUE(6,5)
    199       DTRUE(9,7) = 1.E4 / D12
    200       DTRUE(1,8) = DTRUE(1,7)
    201       DTRUE(2,8) = 2.E10 / (1.5E0 * D12 * D12)
    202       DTRUE(1,9) = 32.E0 / 7.E0
    203       DTRUE(2,9) = -16.E0 / 7.E0
    204 *     .. Executable Statements ..
    205 *
    206 *     Compute true values which cannot be prestored
    207 *     in decimal notation
    208 *
    209       DBTRUE(1) = 1.0E0/0.6E0
    210       DBTRUE(3) = -1.0E0/0.6E0
    211       DBTRUE(5) = 1.0E0/0.6E0
    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 *           .. SROTG ..
    218             IF (K.GT.8) GO TO 40
    219             SA = DA1(K)
    220             SB = DB1(K)
    221             CALL SROTG(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 *           .. SROTMG ..
    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 SROTMG(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       REAL              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       REAL              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       REAL              SASUM, SNRM2
    259       INTEGER           ISAMAX
    260       EXTERNAL          SASUM, SNRM2, ISAMAX
    261 *     .. External Subroutines ..
    262       EXTERNAL          ITEST1, SSCAL, 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/0.3E0, -1.0E0, 0.0E0, 1.0E0, 0.3E0, 0.3E0,
    269      +                  0.3E0, 0.3E0, 0.3E0, 0.3E0/
    270       DATA              DV/0.1E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0,
    271      +                  2.0E0, 2.0E0, 0.3E0, 3.0E0, 3.0E0, 3.0E0, 3.0E0,
    272      +                  3.0E0, 3.0E0, 3.0E0, 0.3E0, -0.4E0, 4.0E0,
    273      +                  4.0E0, 4.0E0, 4.0E0, 4.0E0, 4.0E0, 0.2E0,
    274      +                  -0.6E0, 0.3E0, 5.0E0, 5.0E0, 5.0E0, 5.0E0,
    275      +                  5.0E0, 0.1E0, -0.3E0, 0.5E0, -0.1E0, 6.0E0,
    276      +                  6.0E0, 6.0E0, 6.0E0, 0.1E0, 8.0E0, 8.0E0, 8.0E0,
    277      +                  8.0E0, 8.0E0, 8.0E0, 8.0E0, 0.3E0, 9.0E0, 9.0E0,
    278      +                  9.0E0, 9.0E0, 9.0E0, 9.0E0, 9.0E0, 0.3E0, 2.0E0,
    279      +                  -0.4E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0,
    280      +                  0.2E0, 3.0E0, -0.6E0, 5.0E0, 0.3E0, 2.0E0,
    281      +                  2.0E0, 2.0E0, 0.1E0, 4.0E0, -0.3E0, 6.0E0,
    282      +                  -0.5E0, 7.0E0, -0.1E0, 3.0E0/
    283       DATA              DTRUE1/0.0E0, 0.3E0, 0.5E0, 0.7E0, 0.6E0/
    284       DATA              DTRUE3/0.0E0, 0.3E0, 0.7E0, 1.1E0, 1.0E0/
    285       DATA              DTRUE5/0.10E0, 2.0E0, 2.0E0, 2.0E0, 2.0E0,
    286      +                  2.0E0, 2.0E0, 2.0E0, -0.3E0, 3.0E0, 3.0E0,
    287      +                  3.0E0, 3.0E0, 3.0E0, 3.0E0, 3.0E0, 0.0E0, 0.0E0,
    288      +                  4.0E0, 4.0E0, 4.0E0, 4.0E0, 4.0E0, 4.0E0,
    289      +                  0.20E0, -0.60E0, 0.30E0, 5.0E0, 5.0E0, 5.0E0,
    290      +                  5.0E0, 5.0E0, 0.03E0, -0.09E0, 0.15E0, -0.03E0,
    291      +                  6.0E0, 6.0E0, 6.0E0, 6.0E0, 0.10E0, 8.0E0,
    292      +                  8.0E0, 8.0E0, 8.0E0, 8.0E0, 8.0E0, 8.0E0,
    293      +                  0.09E0, 9.0E0, 9.0E0, 9.0E0, 9.0E0, 9.0E0,
    294      +                  9.0E0, 9.0E0, 0.09E0, 2.0E0, -0.12E0, 2.0E0,
    295      +                  2.0E0, 2.0E0, 2.0E0, 2.0E0, 0.06E0, 3.0E0,
    296      +                  -0.18E0, 5.0E0, 0.09E0, 2.0E0, 2.0E0, 2.0E0,
    297      +                  0.03E0, 4.0E0, -0.09E0, 6.0E0, -0.15E0, 7.0E0,
    298      +                  -0.03E0, 3.0E0/
    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 *              .. SNRM2 ..
    312                STEMP(1) = DTRUE1(NP1)
    313                CALL STEST1(SNRM2(N,SX,INCX),STEMP(1),STEMP,SFAC)
    314             ELSE IF (ICASE.EQ.8) THEN
    315 *              .. SASUM ..
    316                STEMP(1) = DTRUE3(NP1)
    317                CALL STEST1(SASUM(N,SX,INCX),STEMP(1),STEMP,SFAC)
    318             ELSE IF (ICASE.EQ.9) THEN
    319 *              .. SSCAL ..
    320                CALL SSCAL(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 *              .. ISAMAX ..
    327                CALL ITEST1(ISAMAX(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       REAL              SFAC
    342 *     .. Scalars in Common ..
    343       INTEGER           ICASE, INCX, INCY, N
    344       LOGICAL           PASS
    345 *     .. Local Scalars ..
    346       REAL              SA
    347       INTEGER           I, J, KI, KN, KNI, KPAR, KSIZE, LENX, LENY,
    348      $                  MX, MY 
    349 *     .. Local Arrays ..
    350       REAL              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), SSIZE3(4),
    353      $                  SSIZE(7), 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      $                  ST7B(4,4)
    359       INTEGER           INCXS(4), INCYS(4), LENS(4,2), NS(4)
    360 *     .. External Functions ..
    361       REAL              SDOT, SDSDOT
    362       EXTERNAL          SDOT, SDSDOT
    363 *     .. External Subroutines ..
    364       EXTERNAL          SAXPY, SCOPY, SROTM, SSWAP, STEST, STEST1
    365 *     .. Intrinsic Functions ..
    366       INTRINSIC         ABS, MIN
    367 *     .. Common blocks ..
    368       COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
    369 *     .. Data statements ..
    370       EQUIVALENCE (DT19X(1,1,1),DT19XA(1,1,1)),(DT19X(1,1,5),
    371      A   DT19XB(1,1,1)),(DT19X(1,1,9),DT19XC(1,1,1)),
    372      B   (DT19X(1,1,13),DT19XD(1,1,1))
    373       EQUIVALENCE (DT19Y(1,1,1),DT19YA(1,1,1)),(DT19Y(1,1,5),
    374      A   DT19YB(1,1,1)),(DT19Y(1,1,9),DT19YC(1,1,1)),
    375      B   (DT19Y(1,1,13),DT19YD(1,1,1))
    376 
    377       DATA              SA/0.3E0/
    378       DATA              INCXS/1, 2, -2, -1/
    379       DATA              INCYS/1, -2, 1, -2/
    380       DATA              LENS/1, 1, 2, 4, 1, 1, 3, 7/
    381       DATA              NS/0, 1, 2, 4/
    382       DATA              DX1/0.6E0, 0.1E0, -0.5E0, 0.8E0, 0.9E0, -0.3E0,
    383      +                  -0.4E0/
    384       DATA              DY1/0.5E0, -0.9E0, 0.3E0, 0.7E0, -0.6E0, 0.2E0,
    385      +                  0.8E0/
    386       DATA              DT7/0.0E0, 0.30E0, 0.21E0, 0.62E0, 0.0E0,
    387      +                  0.30E0, -0.07E0, 0.85E0, 0.0E0, 0.30E0, -0.79E0,
    388      +                  -0.74E0, 0.0E0, 0.30E0, 0.33E0, 1.27E0/
    389       DATA              ST7B/ .1, .4, .31, .72,     .1, .4, .03, .95,
    390      +                  .1, .4, -.69, -.64,   .1, .4, .43, 1.37/
    391       DATA              DT8/0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    392      +                  0.0E0, 0.68E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    393      +                  0.0E0, 0.0E0, 0.68E0, -0.87E0, 0.0E0, 0.0E0,
    394      +                  0.0E0, 0.0E0, 0.0E0, 0.68E0, -0.87E0, 0.15E0,
    395      +                  0.94E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0,
    396      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.68E0,
    397      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    398      +                  0.35E0, -0.9E0, 0.48E0, 0.0E0, 0.0E0, 0.0E0,
    399      +                  0.0E0, 0.38E0, -0.9E0, 0.57E0, 0.7E0, -0.75E0,
    400      +                  0.2E0, 0.98E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0,
    401      +                  0.0E0, 0.0E0, 0.0E0, 0.68E0, 0.0E0, 0.0E0,
    402      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.35E0, -0.72E0,
    403      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.38E0,
    404      +                  -0.63E0, 0.15E0, 0.88E0, 0.0E0, 0.0E0, 0.0E0,
    405      +                  0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    406      +                  0.68E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    407      +                  0.0E0, 0.68E0, -0.9E0, 0.33E0, 0.0E0, 0.0E0,
    408      +                  0.0E0, 0.0E0, 0.68E0, -0.9E0, 0.33E0, 0.7E0,
    409      +                  -0.75E0, 0.2E0, 1.04E0/
    410       DATA              DT10X/0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    411      +                  0.0E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    412      +                  0.0E0, 0.5E0, -0.9E0, 0.0E0, 0.0E0, 0.0E0,
    413      +                  0.0E0, 0.0E0, 0.5E0, -0.9E0, 0.3E0, 0.7E0,
    414      +                  0.0E0, 0.0E0, 0.0E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0,
    415      +                  0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0,
    416      +                  0.0E0, 0.0E0, 0.0E0, 0.3E0, 0.1E0, 0.5E0, 0.0E0,
    417      +                  0.0E0, 0.0E0, 0.0E0, 0.8E0, 0.1E0, -0.6E0,
    418      +                  0.8E0, 0.3E0, -0.3E0, 0.5E0, 0.6E0, 0.0E0,
    419      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0,
    420      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, -0.9E0,
    421      +                  0.1E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.7E0,
    422      +                  0.1E0, 0.3E0, 0.8E0, -0.9E0, -0.3E0, 0.5E0,
    423      +                  0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    424      +                  0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    425      +                  0.5E0, 0.3E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    426      +                  0.5E0, 0.3E0, -0.6E0, 0.8E0, 0.0E0, 0.0E0,
    427      +                  0.0E0/
    428       DATA              DT10Y/0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    429      +                  0.0E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    430      +                  0.0E0, 0.6E0, 0.1E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    431      +                  0.0E0, 0.6E0, 0.1E0, -0.5E0, 0.8E0, 0.0E0,
    432      +                  0.0E0, 0.0E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    433      +                  0.0E0, 0.0E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    434      +                  0.0E0, 0.0E0, -0.5E0, -0.9E0, 0.6E0, 0.0E0,
    435      +                  0.0E0, 0.0E0, 0.0E0, -0.4E0, -0.9E0, 0.9E0,
    436      +                  0.7E0, -0.5E0, 0.2E0, 0.6E0, 0.5E0, 0.0E0,
    437      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.6E0, 0.0E0,
    438      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, -0.5E0,
    439      +                  0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    440      +                  -0.4E0, 0.9E0, -0.5E0, 0.6E0, 0.0E0, 0.0E0,
    441      +                  0.0E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    442      +                  0.0E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    443      +                  0.0E0, 0.6E0, -0.9E0, 0.1E0, 0.0E0, 0.0E0,
    444      +                  0.0E0, 0.0E0, 0.6E0, -0.9E0, 0.1E0, 0.7E0,
    445      +                  -0.5E0, 0.2E0, 0.8E0/
    446       DATA              SSIZE1/0.0E0, 0.3E0, 1.6E0, 3.2E0/
    447       DATA              SSIZE2/0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    448      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    449      +                  0.0E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0,
    450      +                  1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0,
    451      +                  1.17E0, 1.17E0, 1.17E0/
    452       DATA              SSIZE3/ .1, .4, 1.7, 3.3 /
    453 *
    454 *                         FOR DROTM
    455 *
    456       DATA DPAR/-2.E0,  0.E0,0.E0,0.E0,0.E0,
    457      A          -1.E0,  2.E0, -3.E0, -4.E0,  5.E0,
    458      B           0.E0,  0.E0,  2.E0, -3.E0,  0.E0,
    459      C           1.E0,  5.E0,  2.E0,  0.E0, -4.E0/
    460 *                        TRUE X RESULTS F0R ROTATIONS DROTM
    461       DATA DT19XA/.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    462      A            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    463      B            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    464      C            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    465      D            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    466      E           -.8E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    467      F           -.9E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    468      G           3.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    469      H            .6E0,   .1E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    470      I           -.8E0,  3.8E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    471      J           -.9E0,  2.8E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    472      K           3.5E0,  -.4E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    473      L            .6E0,   .1E0,  -.5E0,   .8E0,          0.E0,0.E0,0.E0,
    474      M           -.8E0,  3.8E0, -2.2E0, -1.2E0,          0.E0,0.E0,0.E0,
    475      N           -.9E0,  2.8E0, -1.4E0, -1.3E0,          0.E0,0.E0,0.E0,
    476      O           3.5E0,  -.4E0, -2.2E0,  4.7E0,          0.E0,0.E0,0.E0/
    477 *
    478       DATA DT19XB/.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    479      A            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    480      B            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    481      C            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    482      D            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    483      E           -.8E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    484      F           -.9E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    485      G           3.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    486      H            .6E0,   .1E0,  -.5E0,             0.E0,0.E0,0.E0,0.E0,
    487      I           0.E0,    .1E0, -3.0E0,             0.E0,0.E0,0.E0,0.E0,
    488      J           -.3E0,   .1E0, -2.0E0,             0.E0,0.E0,0.E0,0.E0,
    489      K           3.3E0,   .1E0, -2.0E0,             0.E0,0.E0,0.E0,0.E0,
    490      L            .6E0,   .1E0,  -.5E0,   .8E0,   .9E0,  -.3E0,  -.4E0,
    491      M          -2.0E0,   .1E0,  1.4E0,   .8E0,   .6E0,  -.3E0, -2.8E0,
    492      N          -1.8E0,   .1E0,  1.3E0,   .8E0,  0.E0,   -.3E0, -1.9E0,
    493      O           3.8E0,   .1E0, -3.1E0,   .8E0,  4.8E0,  -.3E0, -1.5E0 /
    494 *
    495       DATA DT19XC/.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    496      A            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    497      B            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    498      C            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    499      D            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    500      E           -.8E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    501      F           -.9E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    502      G           3.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    503      H            .6E0,   .1E0,  -.5E0,             0.E0,0.E0,0.E0,0.E0,
    504      I           4.8E0,   .1E0, -3.0E0,             0.E0,0.E0,0.E0,0.E0,
    505      J           3.3E0,   .1E0, -2.0E0,             0.E0,0.E0,0.E0,0.E0,
    506      K           2.1E0,   .1E0, -2.0E0,             0.E0,0.E0,0.E0,0.E0,
    507      L            .6E0,   .1E0,  -.5E0,   .8E0,   .9E0,  -.3E0,  -.4E0,
    508      M          -1.6E0,   .1E0, -2.2E0,   .8E0,  5.4E0,  -.3E0, -2.8E0,
    509      N          -1.5E0,   .1E0, -1.4E0,   .8E0,  3.6E0,  -.3E0, -1.9E0,
    510      O           3.7E0,   .1E0, -2.2E0,   .8E0,  3.6E0,  -.3E0, -1.5E0 /
    511 *
    512       DATA DT19XD/.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    513      A            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    514      B            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    515      C            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    516      D            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    517      E           -.8E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    518      F           -.9E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    519      G           3.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    520      H            .6E0,   .1E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    521      I           -.8E0, -1.0E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    522      J           -.9E0,  -.8E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    523      K           3.5E0,   .8E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    524      L            .6E0,   .1E0,  -.5E0,   .8E0,          0.E0,0.E0,0.E0,
    525      M           -.8E0, -1.0E0,  1.4E0, -1.6E0,          0.E0,0.E0,0.E0,
    526      N           -.9E0,  -.8E0,  1.3E0, -1.6E0,          0.E0,0.E0,0.E0,
    527      O           3.5E0,   .8E0, -3.1E0,  4.8E0,          0.E0,0.E0,0.E0/
    528 *                        TRUE Y RESULTS FOR ROTATIONS DROTM
    529       DATA DT19YA/.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    530      A            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    531      B            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    532      C            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    533      D            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    534      E            .7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    535      F           1.7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    536      G          -2.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    537      H            .5E0,  -.9E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    538      I            .7E0, -4.8E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    539      J           1.7E0,  -.7E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    540      K          -2.6E0,  3.5E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    541      L            .5E0,  -.9E0,   .3E0,   .7E0,          0.E0,0.E0,0.E0,
    542      M            .7E0, -4.8E0,  3.0E0,  1.1E0,          0.E0,0.E0,0.E0,
    543      N           1.7E0,  -.7E0,  -.7E0,  2.3E0,          0.E0,0.E0,0.E0,
    544      O          -2.6E0,  3.5E0,  -.7E0, -3.6E0,          0.E0,0.E0,0.E0/
    545 *
    546       DATA DT19YB/.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    547      A            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    548      B            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    549      C            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    550      D            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    551      E            .7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    552      F           1.7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    553      G          -2.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    554      H            .5E0,  -.9E0,   .3E0,             0.E0,0.E0,0.E0,0.E0,
    555      I           4.0E0,  -.9E0,  -.3E0,             0.E0,0.E0,0.E0,0.E0,
    556      J           -.5E0,  -.9E0,  1.5E0,             0.E0,0.E0,0.E0,0.E0,
    557      K          -1.5E0,  -.9E0, -1.8E0,             0.E0,0.E0,0.E0,0.E0,
    558      L            .5E0,  -.9E0,   .3E0,   .7E0,  -.6E0,   .2E0,   .8E0,
    559      M           3.7E0,  -.9E0, -1.2E0,   .7E0, -1.5E0,   .2E0,  2.2E0,
    560      N           -.3E0,  -.9E0,  2.1E0,   .7E0, -1.6E0,   .2E0,  2.0E0,
    561      O          -1.6E0,  -.9E0, -2.1E0,   .7E0,  2.9E0,   .2E0, -3.8E0 /
    562 *
    563       DATA DT19YC/.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    564      A            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    565      B            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    566      C            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    567      D            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    568      E            .7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    569      F           1.7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    570      G          -2.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    571      H            .5E0,  -.9E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    572      I           4.0E0, -6.3E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    573      J           -.5E0,   .3E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    574      K          -1.5E0,  3.0E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
    575      L            .5E0,  -.9E0,   .3E0,   .7E0,          0.E0,0.E0,0.E0,
    576      M           3.7E0, -7.2E0,  3.0E0,  1.7E0,          0.E0,0.E0,0.E0,
    577      N           -.3E0,   .9E0,  -.7E0,  1.9E0,          0.E0,0.E0,0.E0,
    578      O          -1.6E0,  2.7E0,  -.7E0, -3.4E0,          0.E0,0.E0,0.E0/
    579 *
    580       DATA DT19YD/.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    581      A            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    582      B            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    583      C            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    584      D            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    585      E            .7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    586      F           1.7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    587      G          -2.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
    588      H            .5E0,  -.9E0,   .3E0,             0.E0,0.E0,0.E0,0.E0,
    589      I            .7E0,  -.9E0,  1.2E0,             0.E0,0.E0,0.E0,0.E0,
    590      J           1.7E0,  -.9E0,   .5E0,             0.E0,0.E0,0.E0,0.E0,
    591      K          -2.6E0,  -.9E0, -1.3E0,             0.E0,0.E0,0.E0,0.E0,
    592      L            .5E0,  -.9E0,   .3E0,   .7E0,  -.6E0,   .2E0,   .8E0,
    593      M            .7E0,  -.9E0,  1.2E0,   .7E0, -1.5E0,   .2E0,  1.6E0,
    594      N           1.7E0,  -.9E0,   .5E0,   .7E0, -1.6E0,   .2E0,  2.4E0,
    595      O          -2.6E0,  -.9E0, -1.3E0,   .7E0,  2.9E0,   .2E0, -4.0E0 /
    596 *
    597 *     .. Executable Statements ..
    598 *
    599       DO 120 KI = 1, 4
    600          INCX = INCXS(KI)
    601          INCY = INCYS(KI)
    602          MX = ABS(INCX)
    603          MY = ABS(INCY)
    604 *
    605          DO 100 KN = 1, 4
    606             N = NS(KN)
    607             KSIZE = MIN(2,KN)
    608             LENX = LENS(KN,MX)
    609             LENY = LENS(KN,MY)
    610 *           .. Initialize all argument arrays ..
    611             DO 20 I = 1, 7
    612                SX(I) = DX1(I)
    613                SY(I) = DY1(I)
    614    20       CONTINUE
    615 *
    616             IF (ICASE.EQ.1) THEN
    617 *              .. SDOT ..
    618                CALL STEST1(SDOT(N,SX,INCX,SY,INCY),DT7(KN,KI),SSIZE1(KN)
    619      +                     ,SFAC)
    620             ELSE IF (ICASE.EQ.2) THEN
    621 *              .. SAXPY ..
    622                CALL SAXPY(N,SA,SX,INCX,SY,INCY)
    623                DO 40 J = 1, LENY
    624                   STY(J) = DT8(J,KN,KI)
    625    40          CONTINUE
    626                CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
    627             ELSE IF (ICASE.EQ.5) THEN
    628 *              .. SCOPY ..
    629                DO 60 I = 1, 7
    630                   STY(I) = DT10Y(I,KN,KI)
    631    60          CONTINUE
    632                CALL SCOPY(N,SX,INCX,SY,INCY)
    633                CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0E0)
    634             ELSE IF (ICASE.EQ.6) THEN
    635 *              .. SSWAP ..
    636                CALL SSWAP(N,SX,INCX,SY,INCY)
    637                DO 80 I = 1, 7
    638                   STX(I) = DT10X(I,KN,KI)
    639                   STY(I) = DT10Y(I,KN,KI)
    640    80          CONTINUE
    641                CALL STEST(LENX,SX,STX,SSIZE2(1,1),1.0E0)
    642                CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0E0)
    643             ELSEIF (ICASE.EQ.12) THEN
    644 *              .. SROTM ..
    645                KNI=KN+4*(KI-1)
    646                DO KPAR=1,4
    647                   DO I=1,7
    648                      SX(I) = DX1(I)
    649                      SY(I) = DY1(I)
    650                      STX(I)= DT19X(I,KPAR,KNI)
    651                      STY(I)= DT19Y(I,KPAR,KNI)
    652                   END DO
    653 *
    654                   DO I=1,5
    655                      DTEMP(I) = DPAR(I,KPAR)
    656                   END DO
    657 *
    658                   DO  I=1,LENX
    659                      SSIZE(I)=STX(I)
    660                   END DO
    661 *                   SEE REMARK ABOVE ABOUT DT11X(1,2,7)
    662 *                       AND DT11X(5,3,8).
    663                   IF ((KPAR .EQ. 2) .AND. (KNI .EQ. 7))
    664      $               SSIZE(1) = 2.4E0
    665                   IF ((KPAR .EQ. 3) .AND. (KNI .EQ. 8))
    666      $               SSIZE(5) = 1.8E0
    667 *
    668                   CALL   SROTM(N,SX,INCX,SY,INCY,DTEMP)
    669                   CALL   STEST(LENX,SX,STX,SSIZE,SFAC)
    670                   CALL   STEST(LENY,SY,STY,STY,SFAC)
    671                END DO
    672             ELSEIF (ICASE.EQ.13) THEN
    673 *              .. SDSROT ..
    674                CALL STEST1 (SDSDOT(N,.1,SX,INCX,SY,INCY),
    675      $                 ST7B(KN,KI),SSIZE3(KN),SFAC)
    676             ELSE
    677                WRITE (NOUT,*) ' Shouldn''t be here in CHECK2'
    678                STOP
    679             END IF
    680   100    CONTINUE
    681   120 CONTINUE
    682       RETURN
    683       END
    684       SUBROUTINE CHECK3(SFAC)
    685 *     .. Parameters ..
    686       INTEGER           NOUT
    687       PARAMETER         (NOUT=6)
    688 *     .. Scalar Arguments ..
    689       REAL              SFAC
    690 *     .. Scalars in Common ..
    691       INTEGER           ICASE, INCX, INCY, N
    692       LOGICAL           PASS
    693 *     .. Local Scalars ..
    694       REAL              SC, SS
    695       INTEGER           I, K, KI, KN, KSIZE, LENX, LENY, MX, MY
    696 *     .. Local Arrays ..
    697       REAL              COPYX(5), COPYY(5), DT9X(7,4,4), DT9Y(7,4,4),
    698      +                  DX1(7), DY1(7), MWPC(11), MWPS(11), MWPSTX(5),
    699      +                  MWPSTY(5), MWPTX(11,5), MWPTY(11,5), MWPX(5),
    700      +                  MWPY(5), SSIZE2(14,2), STX(7), STY(7), SX(7),
    701      +                  SY(7)
    702       INTEGER           INCXS(4), INCYS(4), LENS(4,2), MWPINX(11),
    703      +                  MWPINY(11), MWPN(11), NS(4)
    704 *     .. External Subroutines ..
    705       EXTERNAL          SROT, STEST
    706 *     .. Intrinsic Functions ..
    707       INTRINSIC         ABS, MIN
    708 *     .. Common blocks ..
    709       COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
    710 *     .. Data statements ..
    711       DATA              INCXS/1, 2, -2, -1/
    712       DATA              INCYS/1, -2, 1, -2/
    713       DATA              LENS/1, 1, 2, 4, 1, 1, 3, 7/
    714       DATA              NS/0, 1, 2, 4/
    715       DATA              DX1/0.6E0, 0.1E0, -0.5E0, 0.8E0, 0.9E0, -0.3E0,
    716      +                  -0.4E0/
    717       DATA              DY1/0.5E0, -0.9E0, 0.3E0, 0.7E0, -0.6E0, 0.2E0,
    718      +                  0.8E0/
    719       DATA              SC, SS/0.8E0, 0.6E0/
    720       DATA              DT9X/0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    721      +                  0.0E0, 0.78E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    722      +                  0.0E0, 0.0E0, 0.78E0, -0.46E0, 0.0E0, 0.0E0,
    723      +                  0.0E0, 0.0E0, 0.0E0, 0.78E0, -0.46E0, -0.22E0,
    724      +                  1.06E0, 0.0E0, 0.0E0, 0.0E0, 0.6E0, 0.0E0,
    725      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.78E0,
    726      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    727      +                  0.66E0, 0.1E0, -0.1E0, 0.0E0, 0.0E0, 0.0E0,
    728      +                  0.0E0, 0.96E0, 0.1E0, -0.76E0, 0.8E0, 0.90E0,
    729      +                  -0.3E0, -0.02E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0,
    730      +                  0.0E0, 0.0E0, 0.0E0, 0.78E0, 0.0E0, 0.0E0,
    731      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, -0.06E0, 0.1E0,
    732      +                  -0.1E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.90E0,
    733      +                  0.1E0, -0.22E0, 0.8E0, 0.18E0, -0.3E0, -0.02E0,
    734      +                  0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    735      +                  0.78E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    736      +                  0.0E0, 0.78E0, 0.26E0, 0.0E0, 0.0E0, 0.0E0,
    737      +                  0.0E0, 0.0E0, 0.78E0, 0.26E0, -0.76E0, 1.12E0,
    738      +                  0.0E0, 0.0E0, 0.0E0/
    739       DATA              DT9Y/0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    740      +                  0.0E0, 0.04E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    741      +                  0.0E0, 0.0E0, 0.04E0, -0.78E0, 0.0E0, 0.0E0,
    742      +                  0.0E0, 0.0E0, 0.0E0, 0.04E0, -0.78E0, 0.54E0,
    743      +                  0.08E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0,
    744      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.04E0,
    745      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.7E0,
    746      +                  -0.9E0, -0.12E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    747      +                  0.64E0, -0.9E0, -0.30E0, 0.7E0, -0.18E0, 0.2E0,
    748      +                  0.28E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    749      +                  0.0E0, 0.0E0, 0.04E0, 0.0E0, 0.0E0, 0.0E0,
    750      +                  0.0E0, 0.0E0, 0.0E0, 0.7E0, -1.08E0, 0.0E0,
    751      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.64E0, -1.26E0,
    752      +                  0.54E0, 0.20E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0,
    753      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    754      +                  0.04E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    755      +                  0.0E0, 0.04E0, -0.9E0, 0.18E0, 0.0E0, 0.0E0,
    756      +                  0.0E0, 0.0E0, 0.04E0, -0.9E0, 0.18E0, 0.7E0,
    757      +                  -0.18E0, 0.2E0, 0.16E0/
    758       DATA              SSIZE2/0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    759      +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
    760      +                  0.0E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0,
    761      +                  1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0,
    762      +                  1.17E0, 1.17E0, 1.17E0/
    763 *     .. Executable Statements ..
    764 *
    765       DO 60 KI = 1, 4
    766          INCX = INCXS(KI)
    767          INCY = INCYS(KI)
    768          MX = ABS(INCX)
    769          MY = ABS(INCY)
    770 *
    771          DO 40 KN = 1, 4
    772             N = NS(KN)
    773             KSIZE = MIN(2,KN)
    774             LENX = LENS(KN,MX)
    775             LENY = LENS(KN,MY)
    776 *
    777             IF (ICASE.EQ.4) THEN
    778 *              .. SROT ..
    779                DO 20 I = 1, 7
    780                   SX(I) = DX1(I)
    781                   SY(I) = DY1(I)
    782                   STX(I) = DT9X(I,KN,KI)
    783                   STY(I) = DT9Y(I,KN,KI)
    784    20          CONTINUE
    785                CALL SROT(N,SX,INCX,SY,INCY,SC,SS)
    786                CALL STEST(LENX,SX,STX,SSIZE2(1,KSIZE),SFAC)
    787                CALL STEST(LENY,SY,STY,SSIZE2(1,KSIZE),SFAC)
    788             ELSE
    789                WRITE (NOUT,*) ' Shouldn''t be here in CHECK3'
    790                STOP
    791             END IF
    792    40    CONTINUE
    793    60 CONTINUE
    794 *
    795       MWPC(1) = 1
    796       DO 80 I = 2, 11
    797          MWPC(I) = 0
    798    80 CONTINUE
    799       MWPS(1) = 0
    800       DO 100 I = 2, 6
    801          MWPS(I) = 1
    802   100 CONTINUE
    803       DO 120 I = 7, 11
    804          MWPS(I) = -1
    805   120 CONTINUE
    806       MWPINX(1) = 1
    807       MWPINX(2) = 1
    808       MWPINX(3) = 1
    809       MWPINX(4) = -1
    810       MWPINX(5) = 1
    811       MWPINX(6) = -1
    812       MWPINX(7) = 1
    813       MWPINX(8) = 1
    814       MWPINX(9) = -1
    815       MWPINX(10) = 1
    816       MWPINX(11) = -1
    817       MWPINY(1) = 1
    818       MWPINY(2) = 1
    819       MWPINY(3) = -1
    820       MWPINY(4) = -1
    821       MWPINY(5) = 2
    822       MWPINY(6) = 1
    823       MWPINY(7) = 1
    824       MWPINY(8) = -1
    825       MWPINY(9) = -1
    826       MWPINY(10) = 2
    827       MWPINY(11) = 1
    828       DO 140 I = 1, 11
    829          MWPN(I) = 5
    830   140 CONTINUE
    831       MWPN(5) = 3
    832       MWPN(10) = 3
    833       DO 160 I = 1, 5
    834          MWPX(I) = I
    835          MWPY(I) = I
    836          MWPTX(1,I) = I
    837          MWPTY(1,I) = I
    838          MWPTX(2,I) = I
    839          MWPTY(2,I) = -I
    840          MWPTX(3,I) = 6 - I
    841          MWPTY(3,I) = I - 6
    842          MWPTX(4,I) = I
    843          MWPTY(4,I) = -I
    844          MWPTX(6,I) = 6 - I
    845          MWPTY(6,I) = I - 6
    846          MWPTX(7,I) = -I
    847          MWPTY(7,I) = I
    848          MWPTX(8,I) = I - 6
    849          MWPTY(8,I) = 6 - I
    850          MWPTX(9,I) = -I
    851          MWPTY(9,I) = I
    852          MWPTX(11,I) = I - 6
    853          MWPTY(11,I) = 6 - I
    854   160 CONTINUE
    855       MWPTX(5,1) = 1
    856       MWPTX(5,2) = 3
    857       MWPTX(5,3) = 5
    858       MWPTX(5,4) = 4
    859       MWPTX(5,5) = 5
    860       MWPTY(5,1) = -1
    861       MWPTY(5,2) = 2
    862       MWPTY(5,3) = -2
    863       MWPTY(5,4) = 4
    864       MWPTY(5,5) = -3
    865       MWPTX(10,1) = -1
    866       MWPTX(10,2) = -3
    867       MWPTX(10,3) = -5
    868       MWPTX(10,4) = 4
    869       MWPTX(10,5) = 5
    870       MWPTY(10,1) = 1
    871       MWPTY(10,2) = 2
    872       MWPTY(10,3) = 2
    873       MWPTY(10,4) = 4
    874       MWPTY(10,5) = 3
    875       DO 200 I = 1, 11
    876          INCX = MWPINX(I)
    877          INCY = MWPINY(I)
    878          DO 180 K = 1, 5
    879             COPYX(K) = MWPX(K)
    880             COPYY(K) = MWPY(K)
    881             MWPSTX(K) = MWPTX(I,K)
    882             MWPSTY(K) = MWPTY(I,K)
    883   180    CONTINUE
    884          CALL SROT(MWPN(I),COPYX,INCX,COPYY,INCY,MWPC(I),MWPS(I))
    885          CALL STEST(5,COPYX,MWPSTX,MWPSTX,SFAC)
    886          CALL STEST(5,COPYY,MWPSTY,MWPSTY,SFAC)
    887   200 CONTINUE
    888       RETURN
    889       END
    890       SUBROUTINE STEST(LEN,SCOMP,STRUE,SSIZE,SFAC)
    891 *     ********************************* STEST **************************
    892 *
    893 *     THIS SUBR COMPARES ARRAYS  SCOMP() AND STRUE() OF LENGTH LEN TO
    894 *     SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE
    895 *     NEGLIGIBLE.
    896 *
    897 *     C. L. LAWSON, JPL, 1974 DEC 10
    898 *
    899 *     .. Parameters ..
    900       INTEGER          NOUT
    901       REAL             ZERO
    902       PARAMETER        (NOUT=6, ZERO=0.0E0)
    903 *     .. Scalar Arguments ..
    904       REAL             SFAC
    905       INTEGER          LEN
    906 *     .. Array Arguments ..
    907       REAL             SCOMP(LEN), SSIZE(LEN), STRUE(LEN)
    908 *     .. Scalars in Common ..
    909       INTEGER          ICASE, INCX, INCY, N
    910       LOGICAL          PASS
    911 *     .. Local Scalars ..
    912       REAL             SD
    913       INTEGER          I
    914 *     .. External Functions ..
    915       REAL             SDIFF
    916       EXTERNAL         SDIFF
    917 *     .. Intrinsic Functions ..
    918       INTRINSIC        ABS
    919 *     .. Common blocks ..
    920       COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
    921 *     .. Executable Statements ..
    922 *
    923       DO 40 I = 1, LEN
    924          SD = SCOMP(I) - STRUE(I)
    925          IF (ABS(SFAC*SD) .LE. ABS(SSIZE(I))*EPSILON(ZERO))
    926      +       GO TO 40
    927 *
    928 *                             HERE    SCOMP(I) IS NOT CLOSE TO STRUE(I).
    929 *
    930          IF ( .NOT. PASS) GO TO 20
    931 *                             PRINT FAIL MESSAGE AND HEADER.
    932          PASS = .FALSE.
    933          WRITE (NOUT,99999)
    934          WRITE (NOUT,99998)
    935    20    WRITE (NOUT,99997) ICASE, N, INCX, INCY, I, SCOMP(I),
    936      +     STRUE(I), SD, SSIZE(I)
    937    40 CONTINUE
    938       RETURN
    939 *
    940 99999 FORMAT ('                                       FAIL')
    941 99998 FORMAT (/' CASE  N INCX INCY  I                            ',
    942      +       ' COMP(I)                             TRUE(I)  DIFFERENCE',
    943      +       '     SIZE(I)',/1X)
    944 99997 FORMAT (1X,I4,I3,2I5,I3,2E36.8,2E12.4)
    945       END
    946       SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC)
    947 *     ************************* STEST1 *****************************
    948 *
    949 *     THIS IS AN INTERFACE SUBROUTINE TO ACCOMODATE THE FORTRAN
    950 *     REQUIREMENT THAT WHEN A DUMMY ARGUMENT IS AN ARRAY, THE
    951 *     ACTUAL ARGUMENT MUST ALSO BE AN ARRAY OR AN ARRAY ELEMENT.
    952 *
    953 *     C.L. LAWSON, JPL, 1978 DEC 6
    954 *
    955 *     .. Scalar Arguments ..
    956       REAL              SCOMP1, SFAC, STRUE1
    957 *     .. Array Arguments ..
    958       REAL              SSIZE(*)
    959 *     .. Local Arrays ..
    960       REAL              SCOMP(1), STRUE(1)
    961 *     .. External Subroutines ..
    962       EXTERNAL          STEST
    963 *     .. Executable Statements ..
    964 *
    965       SCOMP(1) = SCOMP1
    966       STRUE(1) = STRUE1
    967       CALL STEST(1,SCOMP,STRUE,SSIZE,SFAC)
    968 *
    969       RETURN
    970       END
    971       REAL             FUNCTION SDIFF(SA,SB)
    972 *     ********************************* SDIFF **************************
    973 *     COMPUTES DIFFERENCE OF TWO NUMBERS.  C. L. LAWSON, JPL 1974 FEB 15
    974 *
    975 *     .. Scalar Arguments ..
    976       REAL                            SA, SB
    977 *     .. Executable Statements ..
    978       SDIFF = SA - SB
    979       RETURN
    980       END
    981       SUBROUTINE ITEST1(ICOMP,ITRUE)
    982 *     ********************************* ITEST1 *************************
    983 *
    984 *     THIS SUBROUTINE COMPARES THE VARIABLES ICOMP AND ITRUE FOR
    985 *     EQUALITY.
    986 *     C. L. LAWSON, JPL, 1974 DEC 10
    987 *
    988 *     .. Parameters ..
    989       INTEGER           NOUT
    990       PARAMETER         (NOUT=6)
    991 *     .. Scalar Arguments ..
    992       INTEGER           ICOMP, ITRUE
    993 *     .. Scalars in Common ..
    994       INTEGER           ICASE, INCX, INCY, N
    995       LOGICAL           PASS
    996 *     .. Local Scalars ..
    997       INTEGER           ID
    998 *     .. Common blocks ..
    999       COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
   1000 *     .. Executable Statements ..
   1001 *
   1002       IF (ICOMP.EQ.ITRUE) GO TO 40
   1003 *
   1004 *                            HERE ICOMP IS NOT EQUAL TO ITRUE.
   1005 *
   1006       IF ( .NOT. PASS) GO TO 20
   1007 *                             PRINT FAIL MESSAGE AND HEADER.
   1008       PASS = .FALSE.
   1009       WRITE (NOUT,99999)
   1010       WRITE (NOUT,99998)
   1011    20 ID = ICOMP - ITRUE
   1012       WRITE (NOUT,99997) ICASE, N, INCX, INCY, ICOMP, ITRUE, ID
   1013    40 CONTINUE
   1014       RETURN
   1015 *
   1016 99999 FORMAT ('                                       FAIL')
   1017 99998 FORMAT (/' CASE  N INCX INCY                               ',
   1018      +       ' COMP                                TRUE     DIFFERENCE',
   1019      +       /1X)
   1020 99997 FORMAT (1X,I4,I3,2I5,2I36,I12)
   1021       END
   1022