BLAS: implement DSDOT and SDSDOT; update test for them.
diff --git a/blas/double.cpp b/blas/double.cpp
index cad2f63..9b53be4 100644
--- a/blas/double.cpp
+++ b/blas/double.cpp
@@ -2,6 +2,7 @@
 // for linear algebra.
 //
 // Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2012 Chen-Pang He <jdh8@ms63.hinet.net>
 //
 // This Source Code Form is subject to the terms of the Mozilla
 // Public License v. 2.0. If a copy of the MPL was not distributed
@@ -17,3 +18,21 @@
 #include "level2_impl.h"
 #include "level2_real_impl.h"
 #include "level3_impl.h"
+
+// currently used by DSDOT only
+double* cast_vector_to_double(float* x, int n, int incx)
+{
+  double* ret = new double[n];
+  if(incx<0) vector(ret,n) = vector(x,n,-incx).reverse().cast<double>();
+  else       vector(ret,n) = vector(x,n, incx).cast<double>();
+  return ret;
+}
+
+double BLASFUNC(dsdot)(int* n, float* px, int* incx, float* py, int* incy)
+{
+  if(*n <= 0) return 0;
+  double* x = cast_vector_to_double(px, *n, *incx);
+  double* y = cast_vector_to_double(py, *n, *incy);
+  return vector(x,*n).cwiseProduct(vector(y,*n)).sum();
+}
+
diff --git a/blas/single.cpp b/blas/single.cpp
index 1b7775a..d549a90 100644
--- a/blas/single.cpp
+++ b/blas/single.cpp
@@ -2,6 +2,7 @@
 // for linear algebra.
 //
 // Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2012 Chen-Pang He <jdh8@ms63.hinet.net>
 //
 // This Source Code Form is subject to the terms of the Mozilla
 // Public License v. 2.0. If a copy of the MPL was not distributed
@@ -17,3 +18,19 @@
 #include "level2_impl.h"
 #include "level2_real_impl.h"
 #include "level3_impl.h"
+
+float BLASFUNC(sdsdot)(int* n, float* alpha, float* px, int* incx, float* py, int* incy)
+{
+  float* x = reinterpret_cast<float*>(px);
+  float* y = reinterpret_cast<float*>(py);
+  float ret = *alpha;
+
+  if(*n>0) {
+    if(*incx==1 && *incy==1)    ret += (vector(x,*n).cwiseProduct(vector(y,*n))).sum();
+    else if(*incx>0 && *incy>0) ret += (vector(x,*n,*incx).cwiseProduct(vector(y,*n,*incy))).sum();
+    else if(*incx<0 && *incy>0) ret += (vector(x,*n,-*incx).reverse().cwiseProduct(vector(y,*n,*incy))).sum();
+    else if(*incx>0 && *incy<0) ret += (vector(x,*n,*incx).cwiseProduct(vector(y,*n,-*incy).reverse())).sum();
+    else if(*incx<0 && *incy<0) ret += (vector(x,*n,-*incx).reverse().cwiseProduct(vector(y,*n,-*incy).reverse())).sum();
+  }
+  return ret;
+}
diff --git a/blas/testing/dblat1.f b/blas/testing/dblat1.f
index 5a45d69..30691f9 100644
--- a/blas/testing/dblat1.f
+++ b/blas/testing/dblat1.f
@@ -1,12 +1,54 @@
+*> \brief \b DBLAT1
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*  Definition:
+*  ===========
+*
+*       PROGRAM DBLAT1
+* 
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*>    Test program for the DOUBLE PRECISION Level 1 BLAS.
+*>
+*>    Based upon the original BLAS test routine together with:
+*>    F06EAF Example Program Text
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date April 2012
+*
+*> \ingroup double_blas_testing
+*
+*  =====================================================================
       PROGRAM DBLAT1
-*     Test program for the DOUBLE PRECISION Level 1 BLAS.
-*     Based upon the original BLAS test routine together with:
-*     F06EAF Example Program Text
+*
+*  -- Reference BLAS test routine (version 3.4.1) --
+*  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     April 2012
+*
+*  =====================================================================
+*
 *     .. Parameters ..
       INTEGER          NOUT
       PARAMETER        (NOUT=6)
 *     .. Scalars in Common ..
-      INTEGER          ICASE, INCX, INCY, MODE, N
+      INTEGER          ICASE, INCX, INCY, N
       LOGICAL          PASS
 *     .. Local Scalars ..
       DOUBLE PRECISION SFAC
@@ -14,31 +56,30 @@
 *     .. External Subroutines ..
       EXTERNAL         CHECK0, CHECK1, CHECK2, CHECK3, HEADER
 *     .. Common blocks ..
-      COMMON           /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
       DATA             SFAC/9.765625D-4/
 *     .. Executable Statements ..
       WRITE (NOUT,99999)
-      DO 20 IC = 1, 10
+      DO 20 IC = 1, 13
          ICASE = IC
          CALL HEADER
 *
-*        .. Initialize  PASS,  INCX,  INCY, and MODE for a new case. ..
-*        .. the value 9999 for INCX, INCY or MODE will appear in the ..
+*        .. Initialize  PASS,  INCX,  and INCY for a new case. ..
+*        .. the value 9999 for INCX or INCY will appear in the ..
 *        .. detailed  output, if any, for cases  that do not involve ..
 *        .. these parameters ..
 *
          PASS = .TRUE.
          INCX = 9999
          INCY = 9999
-         MODE = 9999
-         IF (ICASE.EQ.3) THEN
+         IF (ICASE.EQ.3 .OR. ICASE.EQ.11) THEN
             CALL CHECK0(SFAC)
          ELSE IF (ICASE.EQ.7 .OR. ICASE.EQ.8 .OR. ICASE.EQ.9 .OR.
      +            ICASE.EQ.10) THEN
             CALL CHECK1(SFAC)
          ELSE IF (ICASE.EQ.1 .OR. ICASE.EQ.2 .OR. ICASE.EQ.5 .OR.
-     +            ICASE.EQ.6) THEN
+     +            ICASE.EQ.6 .OR. ICASE.EQ.12 .OR. ICASE.EQ.13) THEN
             CALL CHECK2(SFAC)
          ELSE IF (ICASE.EQ.4) THEN
             CALL CHECK3(SFAC)
@@ -56,12 +97,12 @@
       INTEGER          NOUT
       PARAMETER        (NOUT=6)
 *     .. Scalars in Common ..
-      INTEGER          ICASE, INCX, INCY, MODE, N
+      INTEGER          ICASE, INCX, INCY, N
       LOGICAL          PASS
 *     .. Local Arrays ..
-      CHARACTER*6      L(10)
+      CHARACTER*6      L(13)
 *     .. Common blocks ..
-      COMMON           /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
       DATA             L(1)/' DDOT '/
       DATA             L(2)/'DAXPY '/
@@ -73,6 +114,9 @@
       DATA             L(8)/'DASUM '/
       DATA             L(9)/'DSCAL '/
       DATA             L(10)/'IDAMAX'/
+      DATA             L(11)/'DROTMG'/
+      DATA             L(12)/'DROTM '/
+      DATA             L(13)/'DSDOT '/
 *     .. Executable Statements ..
       WRITE (NOUT,99999) ICASE, L(ICASE)
       RETURN
@@ -86,18 +130,18 @@
 *     .. Scalar Arguments ..
       DOUBLE PRECISION  SFAC
 *     .. Scalars in Common ..
-      INTEGER           ICASE, INCX, INCY, MODE, N
+      INTEGER           ICASE, INCX, INCY, N
       LOGICAL           PASS
 *     .. Local Scalars ..
-      DOUBLE PRECISION  D12, SA, SB, SC, SS
-      INTEGER           K
+      DOUBLE PRECISION  SA, SB, SC, SS, D12
+      INTEGER           I, K
 *     .. Local Arrays ..
       DOUBLE PRECISION  DA1(8), DATRUE(8), DB1(8), DBTRUE(8), DC1(8),
-     +                  DS1(8)
+     $                  DS1(8), DAB(4,9), DTEMP(9), DTRUE(9,9)
 *     .. External Subroutines ..
-      EXTERNAL          DROTG, STEST1
+      EXTERNAL          DROTG, DROTMG, STEST1
 *     .. Common blocks ..
-      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
       DATA              DA1/0.3D0, 0.4D0, -0.3D0, -0.4D0, -0.3D0, 0.0D0,
      +                  0.0D0, 1.0D0/
@@ -111,7 +155,52 @@
      +                  0.0D0, 1.0D0, 1.0D0/
       DATA              DBTRUE/0.0D0, 0.6D0, 0.0D0, -0.6D0, 0.0D0,
      +                  0.0D0, 1.0D0, 0.0D0/
-      DATA              D12/4096.0D0/
+*     INPUT FOR MODIFIED GIVENS
+      DATA DAB/ .1D0,.3D0,1.2D0,.2D0,
+     A          .7D0, .2D0, .6D0, 4.2D0,
+     B          0.D0,0.D0,0.D0,0.D0,
+     C          4.D0, -1.D0, 2.D0, 4.D0,
+     D          6.D-10, 2.D-2, 1.D5, 10.D0,
+     E          4.D10, 2.D-2, 1.D-5, 10.D0,
+     F          2.D-10, 4.D-2, 1.D5, 10.D0,
+     G          2.D10, 4.D-2, 1.D-5, 10.D0,
+     H          4.D0, -2.D0, 8.D0, 4.D0    /
+*    TRUE RESULTS FOR MODIFIED GIVENS
+      DATA DTRUE/0.D0,0.D0, 1.3D0, .2D0, 0.D0,0.D0,0.D0, .5D0, 0.D0,
+     A           0.D0,0.D0, 4.5D0, 4.2D0, 1.D0, .5D0, 0.D0,0.D0,0.D0,
+     B           0.D0,0.D0,0.D0,0.D0, -2.D0, 0.D0,0.D0,0.D0,0.D0,
+     C           0.D0,0.D0,0.D0, 4.D0, -1.D0, 0.D0,0.D0,0.D0,0.D0,
+     D           0.D0, 15.D-3, 0.D0, 10.D0, -1.D0, 0.D0, -1.D-4,
+     E           0.D0, 1.D0,
+     F           0.D0,0.D0, 6144.D-5, 10.D0, -1.D0, 4096.D0, -1.D6,
+     G           0.D0, 1.D0,
+     H           0.D0,0.D0,15.D0,10.D0,-1.D0, 5.D-5, 0.D0,1.D0,0.D0,
+     I           0.D0,0.D0, 15.D0, 10.D0, -1. D0, 5.D5, -4096.D0,
+     J           1.D0, 4096.D-6,
+     K           0.D0,0.D0, 7.D0, 4.D0, 0.D0,0.D0, -.5D0, -.25D0, 0.D0/
+*                   4096 = 2 ** 12
+      DATA D12  /4096.D0/
+      DTRUE(1,1) = 12.D0 / 130.D0
+      DTRUE(2,1) = 36.D0 / 130.D0
+      DTRUE(7,1) = -1.D0 / 6.D0
+      DTRUE(1,2) = 14.D0 / 75.D0
+      DTRUE(2,2) = 49.D0 / 75.D0
+      DTRUE(9,2) = 1.D0 / 7.D0
+      DTRUE(1,5) = 45.D-11 * (D12 * D12)
+      DTRUE(3,5) = 4.D5 / (3.D0 * D12)
+      DTRUE(6,5) = 1.D0 / D12
+      DTRUE(8,5) = 1.D4 / (3.D0 * D12)
+      DTRUE(1,6) = 4.D10 / (1.5D0 * D12 * D12)
+      DTRUE(2,6) = 2.D-2 / 1.5D0
+      DTRUE(8,6) = 5.D-7 * D12
+      DTRUE(1,7) = 4.D0 / 150.D0
+      DTRUE(2,7) = (2.D-10 / 1.5D0) * (D12 * D12)
+      DTRUE(7,7) = -DTRUE(6,5)
+      DTRUE(9,7) = 1.D4 / D12
+      DTRUE(1,8) = DTRUE(1,7)
+      DTRUE(2,8) = 2.D10 / (1.5D0 * D12 * D12)
+      DTRUE(1,9) = 32.D0 / 7.D0
+      DTRUE(2,9) = -16.D0 / 7.D0
 *     .. Executable Statements ..
 *
 *     Compute true values which cannot be prestored
@@ -134,6 +223,15 @@
             CALL STEST1(SB,DBTRUE(K),DBTRUE(K),SFAC)
             CALL STEST1(SC,DC1(K),DC1(K),SFAC)
             CALL STEST1(SS,DS1(K),DS1(K),SFAC)
+         ELSEIF (ICASE.EQ.11) THEN
+*           .. DROTMG ..
+            DO I=1,4
+               DTEMP(I)= DAB(I,K)
+               DTEMP(I+4) = 0.0
+            END DO
+            DTEMP(9) = 0.0
+            CALL DROTMG(DTEMP(1),DTEMP(2),DTEMP(3),DTEMP(4),DTEMP(5))
+            CALL STEST(9,DTEMP,DTRUE(1,K),DTRUE(1,K),SFAC)
          ELSE
             WRITE (NOUT,*) ' Shouldn''t be here in CHECK0'
             STOP
@@ -148,7 +246,7 @@
 *     .. Scalar Arguments ..
       DOUBLE PRECISION  SFAC
 *     .. Scalars in Common ..
-      INTEGER           ICASE, INCX, INCY, MODE, N
+      INTEGER           ICASE, INCX, INCY, N
       LOGICAL           PASS
 *     .. Local Scalars ..
       INTEGER           I, LEN, NP1
@@ -165,7 +263,7 @@
 *     .. Intrinsic Functions ..
       INTRINSIC         MAX
 *     .. Common blocks ..
-      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
       DATA              SA/0.3D0, -1.0D0, 0.0D0, 1.0D0, 0.3D0, 0.3D0,
      +                  0.3D0, 0.3D0, 0.3D0, 0.3D0/
@@ -212,11 +310,11 @@
             IF (ICASE.EQ.7) THEN
 *              .. DNRM2 ..
                STEMP(1) = DTRUE1(NP1)
-               CALL STEST1(DNRM2(N,SX,INCX),STEMP,STEMP,SFAC)
+               CALL STEST1(DNRM2(N,SX,INCX),STEMP(1),STEMP,SFAC)
             ELSE IF (ICASE.EQ.8) THEN
 *              .. DASUM ..
                STEMP(1) = DTRUE3(NP1)
-               CALL STEST1(DASUM(N,SX,INCX),STEMP,STEMP,SFAC)
+               CALL STEST1(DASUM(N,SX,INCX),STEMP(1),STEMP,SFAC)
             ELSE IF (ICASE.EQ.9) THEN
 *              .. DSCAL ..
                CALL DSCAL(N,SA((INCX-1)*5+NP1),SX,INCX)
@@ -242,27 +340,39 @@
 *     .. Scalar Arguments ..
       DOUBLE PRECISION  SFAC
 *     .. Scalars in Common ..
-      INTEGER           ICASE, INCX, INCY, MODE, N
+      INTEGER           ICASE, INCX, INCY, N
       LOGICAL           PASS
 *     .. Local Scalars ..
-      DOUBLE PRECISION  SA, SC, SS
-      INTEGER           I, J, KI, KN, KSIZE, LENX, LENY, MX, MY
+      DOUBLE PRECISION  SA
+      INTEGER           I, J, KI, KN, KNI, KPAR, KSIZE, LENX, LENY,
+     $                  MX, MY 
 *     .. Local Arrays ..
       DOUBLE PRECISION  DT10X(7,4,4), DT10Y(7,4,4), DT7(4,4),
-     +                  DT8(7,4,4), DT9X(7,4,4), DT9Y(7,4,4), DX1(7),
-     +                  DY1(7), SSIZE1(4), SSIZE2(14,2), STX(7), STY(7),
-     +                  SX(7), SY(7)
+     $                  DT8(7,4,4), DX1(7),
+     $                  DY1(7), SSIZE1(4), SSIZE2(14,2), SSIZE(7),
+     $                  STX(7), STY(7), SX(7), SY(7),
+     $                  DPAR(5,4), DT19X(7,4,16),DT19XA(7,4,4),
+     $                  DT19XB(7,4,4), DT19XC(7,4,4),DT19XD(7,4,4),
+     $                  DT19Y(7,4,16), DT19YA(7,4,4),DT19YB(7,4,4),
+     $                  DT19YC(7,4,4), DT19YD(7,4,4), DTEMP(5)
       INTEGER           INCXS(4), INCYS(4), LENS(4,2), NS(4)
 *     .. External Functions ..
-      DOUBLE PRECISION  DDOT
-      EXTERNAL          DDOT
+      DOUBLE PRECISION  DDOT, DSDOT
+      EXTERNAL          DDOT, DSDOT
 *     .. External Subroutines ..
-      EXTERNAL          DAXPY, DCOPY, DSWAP, STEST, STEST1
+      EXTERNAL          DAXPY, DCOPY, DROTM, DSWAP, STEST, STEST1
 *     .. Intrinsic Functions ..
       INTRINSIC         ABS, MIN
 *     .. Common blocks ..
-      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
+      EQUIVALENCE (DT19X(1,1,1),DT19XA(1,1,1)),(DT19X(1,1,5),
+     A   DT19XB(1,1,1)),(DT19X(1,1,9),DT19XC(1,1,1)),
+     B   (DT19X(1,1,13),DT19XD(1,1,1))
+      EQUIVALENCE (DT19Y(1,1,1),DT19YA(1,1,1)),(DT19Y(1,1,5),
+     A   DT19YB(1,1,1)),(DT19Y(1,1,9),DT19YC(1,1,1)),
+     B   (DT19Y(1,1,13),DT19YD(1,1,1))
+
       DATA              SA/0.3D0/
       DATA              INCXS/1, 2, -2, -1/
       DATA              INCYS/1, -2, 1, -2/
@@ -272,7 +382,6 @@
      +                  -0.4D0/
       DATA              DY1/0.5D0, -0.9D0, 0.3D0, 0.7D0, -0.6D0, 0.2D0,
      +                  0.8D0/
-      DATA              SC, SS/0.8D0, 0.6D0/
       DATA              DT7/0.0D0, 0.30D0, 0.21D0, 0.62D0, 0.0D0,
      +                  0.30D0, -0.07D0, 0.85D0, 0.0D0, 0.30D0, -0.79D0,
      +                  -0.74D0, 0.0D0, 0.30D0, 0.33D0, 1.27D0/
@@ -295,44 +404,6 @@
      +                  0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.0D0, 0.0D0,
      +                  0.0D0, 0.0D0, 0.68D0, -0.9D0, 0.33D0, 0.7D0,
      +                  -0.75D0, 0.2D0, 1.04D0/
-      DATA              DT9X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.78D0, -0.46D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.78D0, -0.46D0, -0.22D0,
-     +                  1.06D0, 0.0D0, 0.0D0, 0.0D0, 0.6D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.78D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.66D0, 0.1D0, -0.1D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.96D0, 0.1D0, -0.76D0, 0.8D0, 0.90D0,
-     +                  -0.3D0, -0.02D0, 0.6D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.78D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, -0.06D0, 0.1D0,
-     +                  -0.1D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.90D0,
-     +                  0.1D0, -0.22D0, 0.8D0, 0.18D0, -0.3D0, -0.02D0,
-     +                  0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.78D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.78D0, 0.26D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.78D0, 0.26D0, -0.76D0, 1.12D0,
-     +                  0.0D0, 0.0D0, 0.0D0/
-      DATA              DT9Y/0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.04D0, -0.78D0, 0.54D0,
-     +                  0.08D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.04D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.7D0,
-     +                  -0.9D0, -0.12D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.64D0, -0.9D0, -0.30D0, 0.7D0, -0.18D0, 0.2D0,
-     +                  0.28D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.04D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.7D0, -1.08D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.64D0, -1.26D0,
-     +                  0.54D0, 0.20D0, 0.0D0, 0.0D0, 0.0D0, 0.5D0,
-     +                  0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.04D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.0D0, 0.0D0,
-     +                  0.0D0, 0.0D0, 0.04D0, -0.9D0, 0.18D0, 0.7D0,
-     +                  -0.18D0, 0.2D0, 0.16D0/
       DATA              DT10X/0.6D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
      +                  0.0D0, 0.5D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0, 0.0D0,
      +                  0.0D0, 0.5D0, -0.9D0, 0.0D0, 0.0D0, 0.0D0,
@@ -375,6 +446,150 @@
      +                  0.0D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
      +                  1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0, 1.17D0,
      +                  1.17D0, 1.17D0, 1.17D0/
+*
+*                         FOR DROTM
+*
+      DATA DPAR/-2.D0,  0.D0,0.D0,0.D0,0.D0,
+     A          -1.D0,  2.D0, -3.D0, -4.D0,  5.D0,
+     B           0.D0,  0.D0,  2.D0, -3.D0,  0.D0,
+     C           1.D0,  5.D0,  2.D0,  0.D0, -4.D0/
+*                        TRUE X RESULTS F0R ROTATIONS DROTM
+      DATA DT19XA/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .6D0,   .1D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     I           -.8D0,  3.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     J           -.9D0,  2.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     K           3.5D0,  -.4D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     L            .6D0,   .1D0,  -.5D0,   .8D0,          0.D0,0.D0,0.D0,
+     M           -.8D0,  3.8D0, -2.2D0, -1.2D0,          0.D0,0.D0,0.D0,
+     N           -.9D0,  2.8D0, -1.4D0, -1.3D0,          0.D0,0.D0,0.D0,
+     O           3.5D0,  -.4D0, -2.2D0,  4.7D0,          0.D0,0.D0,0.D0/
+*
+      DATA DT19XB/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .6D0,   .1D0,  -.5D0,             0.D0,0.D0,0.D0,0.D0,
+     I           0.D0,    .1D0, -3.0D0,             0.D0,0.D0,0.D0,0.D0,
+     J           -.3D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
+     K           3.3D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
+     L            .6D0,   .1D0,  -.5D0,   .8D0,   .9D0,  -.3D0,  -.4D0,
+     M          -2.0D0,   .1D0,  1.4D0,   .8D0,   .6D0,  -.3D0, -2.8D0,
+     N          -1.8D0,   .1D0,  1.3D0,   .8D0,  0.D0,   -.3D0, -1.9D0,
+     O           3.8D0,   .1D0, -3.1D0,   .8D0,  4.8D0,  -.3D0, -1.5D0 /
+*
+      DATA DT19XC/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .6D0,   .1D0,  -.5D0,             0.D0,0.D0,0.D0,0.D0,
+     I           4.8D0,   .1D0, -3.0D0,             0.D0,0.D0,0.D0,0.D0,
+     J           3.3D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
+     K           2.1D0,   .1D0, -2.0D0,             0.D0,0.D0,0.D0,0.D0,
+     L            .6D0,   .1D0,  -.5D0,   .8D0,   .9D0,  -.3D0,  -.4D0,
+     M          -1.6D0,   .1D0, -2.2D0,   .8D0,  5.4D0,  -.3D0, -2.8D0,
+     N          -1.5D0,   .1D0, -1.4D0,   .8D0,  3.6D0,  -.3D0, -1.9D0,
+     O           3.7D0,   .1D0, -2.2D0,   .8D0,  3.6D0,  -.3D0, -1.5D0 /
+*
+      DATA DT19XD/.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E           -.8D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           -.9D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G           3.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .6D0,   .1D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     I           -.8D0, -1.0D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     J           -.9D0,  -.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     K           3.5D0,   .8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     L            .6D0,   .1D0,  -.5D0,   .8D0,          0.D0,0.D0,0.D0,
+     M           -.8D0, -1.0D0,  1.4D0, -1.6D0,          0.D0,0.D0,0.D0,
+     N           -.9D0,  -.8D0,  1.3D0, -1.6D0,          0.D0,0.D0,0.D0,
+     O           3.5D0,   .8D0, -3.1D0,  4.8D0,          0.D0,0.D0,0.D0/
+*                        TRUE Y RESULTS FOR ROTATIONS DROTM
+      DATA DT19YA/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .5D0,  -.9D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     I            .7D0, -4.8D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     J           1.7D0,  -.7D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     K          -2.6D0,  3.5D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     L            .5D0,  -.9D0,   .3D0,   .7D0,          0.D0,0.D0,0.D0,
+     M            .7D0, -4.8D0,  3.0D0,  1.1D0,          0.D0,0.D0,0.D0,
+     N           1.7D0,  -.7D0,  -.7D0,  2.3D0,          0.D0,0.D0,0.D0,
+     O          -2.6D0,  3.5D0,  -.7D0, -3.6D0,          0.D0,0.D0,0.D0/
+*
+      DATA DT19YB/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .5D0,  -.9D0,   .3D0,             0.D0,0.D0,0.D0,0.D0,
+     I           4.0D0,  -.9D0,  -.3D0,             0.D0,0.D0,0.D0,0.D0,
+     J           -.5D0,  -.9D0,  1.5D0,             0.D0,0.D0,0.D0,0.D0,
+     K          -1.5D0,  -.9D0, -1.8D0,             0.D0,0.D0,0.D0,0.D0,
+     L            .5D0,  -.9D0,   .3D0,   .7D0,  -.6D0,   .2D0,   .8D0,
+     M           3.7D0,  -.9D0, -1.2D0,   .7D0, -1.5D0,   .2D0,  2.2D0,
+     N           -.3D0,  -.9D0,  2.1D0,   .7D0, -1.6D0,   .2D0,  2.0D0,
+     O          -1.6D0,  -.9D0, -2.1D0,   .7D0,  2.9D0,   .2D0, -3.8D0 /
+*
+      DATA DT19YC/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .5D0,  -.9D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     I           4.0D0, -6.3D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     J           -.5D0,   .3D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     K          -1.5D0,  3.0D0,             0.D0,0.D0,0.D0,0.D0,0.D0,
+     L            .5D0,  -.9D0,   .3D0,   .7D0,          0.D0,0.D0,0.D0,
+     M           3.7D0, -7.2D0,  3.0D0,  1.7D0,          0.D0,0.D0,0.D0,
+     N           -.3D0,   .9D0,  -.7D0,  1.9D0,          0.D0,0.D0,0.D0,
+     O          -1.6D0,  2.7D0,  -.7D0, -3.4D0,          0.D0,0.D0,0.D0/
+*
+      DATA DT19YD/.5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     A            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     B            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     C            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     D            .5D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     E            .7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     F           1.7D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     G          -2.6D0,                  0.D0,0.D0,0.D0,0.D0,0.D0,0.D0,
+     H            .5D0,  -.9D0,   .3D0,             0.D0,0.D0,0.D0,0.D0,
+     I            .7D0,  -.9D0,  1.2D0,             0.D0,0.D0,0.D0,0.D0,
+     J           1.7D0,  -.9D0,   .5D0,             0.D0,0.D0,0.D0,0.D0,
+     K          -2.6D0,  -.9D0, -1.3D0,             0.D0,0.D0,0.D0,0.D0,
+     L            .5D0,  -.9D0,   .3D0,   .7D0,  -.6D0,   .2D0,   .8D0,
+     M            .7D0,  -.9D0,  1.2D0,   .7D0, -1.5D0,   .2D0,  1.6D0,
+     N           1.7D0,  -.9D0,   .5D0,   .7D0, -1.6D0,   .2D0,  2.4D0,
+     O          -2.6D0,  -.9D0, -1.3D0,   .7D0,  2.9D0,   .2D0, -4.0D0 /
+*    
 *     .. Executable Statements ..
 *
       DO 120 KI = 1, 4
@@ -421,6 +636,39 @@
    80          CONTINUE
                CALL STEST(LENX,SX,STX,SSIZE2(1,1),1.0D0)
                CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0D0)
+            ELSE IF (ICASE.EQ.12) THEN
+*              .. DROTM ..
+               KNI=KN+4*(KI-1)
+               DO KPAR=1,4
+                  DO I=1,7
+                     SX(I) = DX1(I)
+                     SY(I) = DY1(I)
+                     STX(I)= DT19X(I,KPAR,KNI)
+                     STY(I)= DT19Y(I,KPAR,KNI)
+                  END DO
+*
+                  DO I=1,5
+                     DTEMP(I) = DPAR(I,KPAR)
+                  END DO
+*
+                  DO  I=1,LENX
+                     SSIZE(I)=STX(I)
+                  END DO
+*                   SEE REMARK ABOVE ABOUT DT11X(1,2,7)
+*                       AND DT11X(5,3,8).
+                  IF ((KPAR .EQ. 2) .AND. (KNI .EQ. 7))
+     $               SSIZE(1) = 2.4D0
+                  IF ((KPAR .EQ. 3) .AND. (KNI .EQ. 8))
+     $               SSIZE(5) = 1.8D0
+*
+                  CALL   DROTM(N,SX,INCX,SY,INCY,DTEMP)
+                  CALL   STEST(LENX,SX,STX,SSIZE,SFAC)
+                  CALL   STEST(LENY,SY,STY,STY,SFAC)
+               END DO
+            ELSE IF (ICASE.EQ.13) THEN
+*              .. DSDOT ..
+            CALL TESTDSDOT(REAL(DSDOT(N,REAL(SX),INCX,REAL(SY),INCY)),
+     $                 REAL(DT7(KN,KI)),REAL(SSIZE1(KN)), .3125E-1)
             ELSE
                WRITE (NOUT,*) ' Shouldn''t be here in CHECK2'
                STOP
@@ -436,10 +684,10 @@
 *     .. Scalar Arguments ..
       DOUBLE PRECISION  SFAC
 *     .. Scalars in Common ..
-      INTEGER           ICASE, INCX, INCY, MODE, N
+      INTEGER           ICASE, INCX, INCY, N
       LOGICAL           PASS
 *     .. Local Scalars ..
-      DOUBLE PRECISION  SA, SC, SS
+      DOUBLE PRECISION  SC, SS
       INTEGER           I, K, KI, KN, KSIZE, LENX, LENY, MX, MY
 *     .. Local Arrays ..
       DOUBLE PRECISION  COPYX(5), COPYY(5), DT9X(7,4,4), DT9Y(7,4,4),
@@ -454,9 +702,8 @@
 *     .. Intrinsic Functions ..
       INTRINSIC         ABS, MIN
 *     .. Common blocks ..
-      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
-      DATA              SA/0.3D0/
       DATA              INCXS/1, 2, -2, -1/
       DATA              INCYS/1, -2, 1, -2/
       DATA              LENS/1, 1, 2, 4, 1, 1, 3, 7/
@@ -647,14 +894,15 @@
 *
 *     .. Parameters ..
       INTEGER          NOUT
-      PARAMETER        (NOUT=6)
+      DOUBLE PRECISION ZERO
+      PARAMETER        (NOUT=6, ZERO=0.0D0)
 *     .. Scalar Arguments ..
       DOUBLE PRECISION SFAC
       INTEGER          LEN
 *     .. Array Arguments ..
       DOUBLE PRECISION SCOMP(LEN), SSIZE(LEN), STRUE(LEN)
 *     .. Scalars in Common ..
-      INTEGER          ICASE, INCX, INCY, MODE, N
+      INTEGER          ICASE, INCX, INCY, N
       LOGICAL          PASS
 *     .. Local Scalars ..
       DOUBLE PRECISION SD
@@ -665,12 +913,12 @@
 *     .. Intrinsic Functions ..
       INTRINSIC        ABS
 *     .. Common blocks ..
-      COMMON           /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Executable Statements ..
 *
       DO 40 I = 1, LEN
          SD = SCOMP(I) - STRUE(I)
-         IF (SDIFF(ABS(SSIZE(I))+ABS(SFAC*SD),ABS(SSIZE(I))).EQ.0.0D0)
+         IF (ABS(SFAC*SD) .LE. ABS(SSIZE(I))*EPSILON(ZERO))
      +       GO TO 40
 *
 *                             HERE    SCOMP(I) IS NOT CLOSE TO STRUE(I).
@@ -680,16 +928,64 @@
          PASS = .FALSE.
          WRITE (NOUT,99999)
          WRITE (NOUT,99998)
-   20    WRITE (NOUT,99997) ICASE, N, INCX, INCY, MODE, I, SCOMP(I),
+   20    WRITE (NOUT,99997) ICASE, N, INCX, INCY, I, SCOMP(I),
      +     STRUE(I), SD, SSIZE(I)
    40 CONTINUE
       RETURN
 *
 99999 FORMAT ('                                       FAIL')
-99998 FORMAT (/' CASE  N INCX INCY MODE  I                            ',
+99998 FORMAT (/' CASE  N INCX INCY  I                            ',
      +       ' COMP(I)                             TRUE(I)  DIFFERENCE',
      +       '     SIZE(I)',/1X)
-99997 FORMAT (1X,I4,I3,3I5,I3,2D36.8,2D12.4)
+99997 FORMAT (1X,I4,I3,2I5,I3,2D36.8,2D12.4)
+      END
+      SUBROUTINE TESTDSDOT(SCOMP,STRUE,SSIZE,SFAC)
+*     ********************************* STEST **************************
+*
+*     THIS SUBR COMPARES ARRAYS  SCOMP() AND STRUE() OF LENGTH LEN TO
+*     SEE IF THE TERM BY TERM DIFFERENCES, MULTIPLIED BY SFAC, ARE
+*     NEGLIGIBLE.
+*
+*     C. L. LAWSON, JPL, 1974 DEC 10
+*
+*     .. Parameters ..
+      INTEGER          NOUT
+      REAL             ZERO
+      PARAMETER        (NOUT=6, ZERO=0.0E0)
+*     .. Scalar Arguments ..
+      REAL             SFAC, SCOMP, SSIZE, STRUE
+*     .. Scalars in Common ..
+      INTEGER          ICASE, INCX, INCY, N
+      LOGICAL          PASS
+*     .. Local Scalars ..
+      REAL             SD
+*     .. Intrinsic Functions ..
+      INTRINSIC        ABS
+*     .. Common blocks ..
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
+*     .. Executable Statements ..
+*
+         SD = SCOMP - STRUE
+         IF (ABS(SFAC*SD) .LE. ABS(SSIZE) * EPSILON(ZERO))
+     +       GO TO 40
+*
+*                             HERE    SCOMP(I) IS NOT CLOSE TO STRUE(I).
+*
+         IF ( .NOT. PASS) GO TO 20
+*                             PRINT FAIL MESSAGE AND HEADER.
+         PASS = .FALSE.
+         WRITE (NOUT,99999)
+         WRITE (NOUT,99998)
+   20    WRITE (NOUT,99997) ICASE, N, INCX, INCY, SCOMP,
+     +     STRUE, SD, SSIZE
+   40 CONTINUE
+      RETURN
+*
+99999 FORMAT ('                                       FAIL')
+99998 FORMAT (/' CASE  N INCX INCY                           ',
+     +       ' COMP(I)                             TRUE(I)  DIFFERENCE',
+     +       '     SIZE(I)',/1X)
+99997 FORMAT (1X,I4,I3,1I5,I3,2E36.8,2E12.4)
       END
       SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC)
 *     ************************* STEST1 *****************************
@@ -739,12 +1035,12 @@
 *     .. Scalar Arguments ..
       INTEGER           ICOMP, ITRUE
 *     .. Scalars in Common ..
-      INTEGER           ICASE, INCX, INCY, MODE, N
+      INTEGER           ICASE, INCX, INCY, N
       LOGICAL           PASS
 *     .. Local Scalars ..
       INTEGER           ID
 *     .. Common blocks ..
-      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Executable Statements ..
 *
       IF (ICOMP.EQ.ITRUE) GO TO 40
@@ -757,13 +1053,13 @@
       WRITE (NOUT,99999)
       WRITE (NOUT,99998)
    20 ID = ICOMP - ITRUE
-      WRITE (NOUT,99997) ICASE, N, INCX, INCY, MODE, ICOMP, ITRUE, ID
+      WRITE (NOUT,99997) ICASE, N, INCX, INCY, ICOMP, ITRUE, ID
    40 CONTINUE
       RETURN
 *
 99999 FORMAT ('                                       FAIL')
-99998 FORMAT (/' CASE  N INCX INCY MODE                               ',
+99998 FORMAT (/' CASE  N INCX INCY                               ',
      +       ' COMP                                TRUE     DIFFERENCE',
      +       /1X)
-99997 FORMAT (1X,I4,I3,3I5,2I36,I12)
+99997 FORMAT (1X,I4,I3,2I5,2I36,I12)
       END
diff --git a/blas/testing/sblat1.f b/blas/testing/sblat1.f
index a982d18..6657c26 100644
--- a/blas/testing/sblat1.f
+++ b/blas/testing/sblat1.f
@@ -1,12 +1,54 @@
+*> \brief \b SBLAT1
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*  Definition:
+*  ===========
+*
+*       PROGRAM SBLAT1
+* 
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*>    Test program for the REAL Level 1 BLAS.
+*>
+*>    Based upon the original BLAS test routine together with:
+*>    F06EAF Example Program Text
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date April 2012
+*
+*> \ingroup single_blas_testing
+*
+*  =====================================================================
       PROGRAM SBLAT1
-*     Test program for the REAL             Level 1 BLAS.
-*     Based upon the original BLAS test routine together with:
-*     F06EAF Example Program Text
+*
+*  -- Reference BLAS test routine (version 3.4.1) --
+*  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     April 2012
+*
+*  =====================================================================
+*
 *     .. Parameters ..
       INTEGER          NOUT
       PARAMETER        (NOUT=6)
 *     .. Scalars in Common ..
-      INTEGER          ICASE, INCX, INCY, MODE, N
+      INTEGER          ICASE, INCX, INCY, N
       LOGICAL          PASS
 *     .. Local Scalars ..
       REAL             SFAC
@@ -14,31 +56,30 @@
 *     .. External Subroutines ..
       EXTERNAL         CHECK0, CHECK1, CHECK2, CHECK3, HEADER
 *     .. Common blocks ..
-      COMMON           /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
       DATA             SFAC/9.765625E-4/
 *     .. Executable Statements ..
       WRITE (NOUT,99999)
-      DO 20 IC = 1, 10
+      DO 20 IC = 1, 13
          ICASE = IC
          CALL HEADER
 *
-*        .. Initialize  PASS,  INCX,  INCY, and MODE for a new case. ..
-*        .. the value 9999 for INCX, INCY or MODE will appear in the ..
+*        .. Initialize  PASS,  INCX,  and INCY for a new case. ..
+*        .. the value 9999 for INCX or INCY will appear in the ..
 *        .. detailed  output, if any, for cases  that do not involve ..
 *        .. these parameters ..
 *
          PASS = .TRUE.
          INCX = 9999
          INCY = 9999
-         MODE = 9999
-         IF (ICASE.EQ.3) THEN
+         IF (ICASE.EQ.3 .OR. ICASE.EQ.11) THEN
             CALL CHECK0(SFAC)
          ELSE IF (ICASE.EQ.7 .OR. ICASE.EQ.8 .OR. ICASE.EQ.9 .OR.
      +            ICASE.EQ.10) THEN
             CALL CHECK1(SFAC)
          ELSE IF (ICASE.EQ.1 .OR. ICASE.EQ.2 .OR. ICASE.EQ.5 .OR.
-     +            ICASE.EQ.6) THEN
+     +            ICASE.EQ.6 .OR. ICASE.EQ.12 .OR. ICASE.EQ.13) THEN
             CALL CHECK2(SFAC)
          ELSE IF (ICASE.EQ.4) THEN
             CALL CHECK3(SFAC)
@@ -56,12 +97,12 @@
       INTEGER          NOUT
       PARAMETER        (NOUT=6)
 *     .. Scalars in Common ..
-      INTEGER          ICASE, INCX, INCY, MODE, N
+      INTEGER          ICASE, INCX, INCY, N
       LOGICAL          PASS
 *     .. Local Arrays ..
-      CHARACTER*6      L(10)
+      CHARACTER*6      L(13)
 *     .. Common blocks ..
-      COMMON           /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
       DATA             L(1)/' SDOT '/
       DATA             L(2)/'SAXPY '/
@@ -73,6 +114,9 @@
       DATA             L(8)/'SASUM '/
       DATA             L(9)/'SSCAL '/
       DATA             L(10)/'ISAMAX'/
+      DATA             L(11)/'SROTMG'/
+      DATA             L(12)/'SROTM '/
+      DATA             L(13)/'SDSDOT'/
 *     .. Executable Statements ..
       WRITE (NOUT,99999) ICASE, L(ICASE)
       RETURN
@@ -86,18 +130,18 @@
 *     .. Scalar Arguments ..
       REAL              SFAC
 *     .. Scalars in Common ..
-      INTEGER           ICASE, INCX, INCY, MODE, N
+      INTEGER           ICASE, INCX, INCY, N
       LOGICAL           PASS
 *     .. Local Scalars ..
       REAL              D12, SA, SB, SC, SS
-      INTEGER           K
+      INTEGER           I, K
 *     .. Local Arrays ..
       REAL              DA1(8), DATRUE(8), DB1(8), DBTRUE(8), DC1(8),
-     +                  DS1(8)
+     +                  DS1(8), DAB(4,9), DTEMP(9), DTRUE(9,9)
 *     .. External Subroutines ..
-      EXTERNAL          SROTG, STEST1
+      EXTERNAL          SROTG, SROTMG, STEST1
 *     .. Common blocks ..
-      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
       DATA              DA1/0.3E0, 0.4E0, -0.3E0, -0.4E0, -0.3E0, 0.0E0,
      +                  0.0E0, 1.0E0/
@@ -111,7 +155,52 @@
      +                  0.0E0, 1.0E0, 1.0E0/
       DATA              DBTRUE/0.0E0, 0.6E0, 0.0E0, -0.6E0, 0.0E0,
      +                  0.0E0, 1.0E0, 0.0E0/
-      DATA              D12/4096.0E0/
+*     INPUT FOR MODIFIED GIVENS
+      DATA DAB/ .1E0,.3E0,1.2E0,.2E0,
+     A          .7E0, .2E0, .6E0, 4.2E0,
+     B          0.E0,0.E0,0.E0,0.E0,
+     C          4.E0, -1.E0, 2.E0, 4.E0,
+     D          6.E-10, 2.E-2, 1.E5, 10.E0,
+     E          4.E10, 2.E-2, 1.E-5, 10.E0,
+     F          2.E-10, 4.E-2, 1.E5, 10.E0,
+     G          2.E10, 4.E-2, 1.E-5, 10.E0,
+     H          4.E0, -2.E0, 8.E0, 4.E0    /
+*    TRUE RESULTS FOR MODIFIED GIVENS
+      DATA DTRUE/0.E0,0.E0, 1.3E0, .2E0, 0.E0,0.E0,0.E0, .5E0, 0.E0,
+     A           0.E0,0.E0, 4.5E0, 4.2E0, 1.E0, .5E0, 0.E0,0.E0,0.E0,
+     B           0.E0,0.E0,0.E0,0.E0, -2.E0, 0.E0,0.E0,0.E0,0.E0,
+     C           0.E0,0.E0,0.E0, 4.E0, -1.E0, 0.E0,0.E0,0.E0,0.E0,
+     D           0.E0, 15.E-3, 0.E0, 10.E0, -1.E0, 0.E0, -1.E-4,
+     E           0.E0, 1.E0,
+     F           0.E0,0.E0, 6144.E-5, 10.E0, -1.E0, 4096.E0, -1.E6,
+     G           0.E0, 1.E0,
+     H           0.E0,0.E0,15.E0,10.E0,-1.E0, 5.E-5, 0.E0,1.E0,0.E0,
+     I           0.E0,0.E0, 15.E0, 10.E0, -1. E0, 5.E5, -4096.E0,
+     J           1.E0, 4096.E-6,
+     K           0.E0,0.E0, 7.E0, 4.E0, 0.E0,0.E0, -.5E0, -.25E0, 0.E0/
+*                   4096 = 2 ** 12
+      DATA D12  /4096.E0/
+      DTRUE(1,1) = 12.E0 / 130.E0
+      DTRUE(2,1) = 36.E0 / 130.E0
+      DTRUE(7,1) = -1.E0 / 6.E0
+      DTRUE(1,2) = 14.E0 / 75.E0
+      DTRUE(2,2) = 49.E0 / 75.E0
+      DTRUE(9,2) = 1.E0 / 7.E0
+      DTRUE(1,5) = 45.E-11 * (D12 * D12)
+      DTRUE(3,5) = 4.E5 / (3.E0 * D12)
+      DTRUE(6,5) = 1.E0 / D12
+      DTRUE(8,5) = 1.E4 / (3.E0 * D12)
+      DTRUE(1,6) = 4.E10 / (1.5E0 * D12 * D12)
+      DTRUE(2,6) = 2.E-2 / 1.5E0
+      DTRUE(8,6) = 5.E-7 * D12
+      DTRUE(1,7) = 4.E0 / 150.E0
+      DTRUE(2,7) = (2.E-10 / 1.5E0) * (D12 * D12)
+      DTRUE(7,7) = -DTRUE(6,5)
+      DTRUE(9,7) = 1.E4 / D12
+      DTRUE(1,8) = DTRUE(1,7)
+      DTRUE(2,8) = 2.E10 / (1.5E0 * D12 * D12)
+      DTRUE(1,9) = 32.E0 / 7.E0
+      DTRUE(2,9) = -16.E0 / 7.E0
 *     .. Executable Statements ..
 *
 *     Compute true values which cannot be prestored
@@ -134,6 +223,15 @@
             CALL STEST1(SB,DBTRUE(K),DBTRUE(K),SFAC)
             CALL STEST1(SC,DC1(K),DC1(K),SFAC)
             CALL STEST1(SS,DS1(K),DS1(K),SFAC)
+         ELSEIF (ICASE.EQ.11) THEN
+*           .. SROTMG ..
+            DO I=1,4
+               DTEMP(I)= DAB(I,K)
+               DTEMP(I+4) = 0.0
+            END DO
+            DTEMP(9) = 0.0
+            CALL SROTMG(DTEMP(1),DTEMP(2),DTEMP(3),DTEMP(4),DTEMP(5))
+            CALL STEST(9,DTEMP,DTRUE(1,K),DTRUE(1,K),SFAC)
          ELSE
             WRITE (NOUT,*) ' Shouldn''t be here in CHECK0'
             STOP
@@ -148,7 +246,7 @@
 *     .. Scalar Arguments ..
       REAL              SFAC
 *     .. Scalars in Common ..
-      INTEGER           ICASE, INCX, INCY, MODE, N
+      INTEGER           ICASE, INCX, INCY, N
       LOGICAL           PASS
 *     .. Local Scalars ..
       INTEGER           I, LEN, NP1
@@ -165,7 +263,7 @@
 *     .. Intrinsic Functions ..
       INTRINSIC         MAX
 *     .. Common blocks ..
-      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
       DATA              SA/0.3E0, -1.0E0, 0.0E0, 1.0E0, 0.3E0, 0.3E0,
      +                  0.3E0, 0.3E0, 0.3E0, 0.3E0/
@@ -212,11 +310,11 @@
             IF (ICASE.EQ.7) THEN
 *              .. SNRM2 ..
                STEMP(1) = DTRUE1(NP1)
-               CALL STEST1(SNRM2(N,SX,INCX),STEMP,STEMP,SFAC)
+               CALL STEST1(SNRM2(N,SX,INCX),STEMP(1),STEMP,SFAC)
             ELSE IF (ICASE.EQ.8) THEN
 *              .. SASUM ..
                STEMP(1) = DTRUE3(NP1)
-               CALL STEST1(SASUM(N,SX,INCX),STEMP,STEMP,SFAC)
+               CALL STEST1(SASUM(N,SX,INCX),STEMP(1),STEMP,SFAC)
             ELSE IF (ICASE.EQ.9) THEN
 *              .. SSCAL ..
                CALL SSCAL(N,SA((INCX-1)*5+NP1),SX,INCX)
@@ -242,27 +340,40 @@
 *     .. Scalar Arguments ..
       REAL              SFAC
 *     .. Scalars in Common ..
-      INTEGER           ICASE, INCX, INCY, MODE, N
+      INTEGER           ICASE, INCX, INCY, N
       LOGICAL           PASS
 *     .. Local Scalars ..
-      REAL              SA, SC, SS
-      INTEGER           I, J, KI, KN, KSIZE, LENX, LENY, MX, MY
+      REAL              SA
+      INTEGER           I, J, KI, KN, KNI, KPAR, KSIZE, LENX, LENY,
+     $                  MX, MY 
 *     .. Local Arrays ..
       REAL              DT10X(7,4,4), DT10Y(7,4,4), DT7(4,4),
-     +                  DT8(7,4,4), DT9X(7,4,4), DT9Y(7,4,4), DX1(7),
-     +                  DY1(7), SSIZE1(4), SSIZE2(14,2), STX(7), STY(7),
-     +                  SX(7), SY(7)
+     $                  DT8(7,4,4), DX1(7),
+     $                  DY1(7), SSIZE1(4), SSIZE2(14,2), SSIZE3(4),
+     $                  SSIZE(7), STX(7), STY(7), SX(7), SY(7),
+     $                  DPAR(5,4), DT19X(7,4,16),DT19XA(7,4,4),
+     $                  DT19XB(7,4,4), DT19XC(7,4,4),DT19XD(7,4,4),
+     $                  DT19Y(7,4,16), DT19YA(7,4,4),DT19YB(7,4,4),
+     $                  DT19YC(7,4,4), DT19YD(7,4,4), DTEMP(5),
+     $                  ST7B(4,4)
       INTEGER           INCXS(4), INCYS(4), LENS(4,2), NS(4)
 *     .. External Functions ..
-      REAL              SDOT
-      EXTERNAL          SDOT
+      REAL              SDOT, SDSDOT
+      EXTERNAL          SDOT, SDSDOT
 *     .. External Subroutines ..
-      EXTERNAL          SAXPY, SCOPY, SSWAP, STEST, STEST1
+      EXTERNAL          SAXPY, SCOPY, SROTM, SSWAP, STEST, STEST1
 *     .. Intrinsic Functions ..
       INTRINSIC         ABS, MIN
 *     .. Common blocks ..
-      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
+      EQUIVALENCE (DT19X(1,1,1),DT19XA(1,1,1)),(DT19X(1,1,5),
+     A   DT19XB(1,1,1)),(DT19X(1,1,9),DT19XC(1,1,1)),
+     B   (DT19X(1,1,13),DT19XD(1,1,1))
+      EQUIVALENCE (DT19Y(1,1,1),DT19YA(1,1,1)),(DT19Y(1,1,5),
+     A   DT19YB(1,1,1)),(DT19Y(1,1,9),DT19YC(1,1,1)),
+     B   (DT19Y(1,1,13),DT19YD(1,1,1))
+
       DATA              SA/0.3E0/
       DATA              INCXS/1, 2, -2, -1/
       DATA              INCYS/1, -2, 1, -2/
@@ -272,10 +383,11 @@
      +                  -0.4E0/
       DATA              DY1/0.5E0, -0.9E0, 0.3E0, 0.7E0, -0.6E0, 0.2E0,
      +                  0.8E0/
-      DATA              SC, SS/0.8E0, 0.6E0/
       DATA              DT7/0.0E0, 0.30E0, 0.21E0, 0.62E0, 0.0E0,
      +                  0.30E0, -0.07E0, 0.85E0, 0.0E0, 0.30E0, -0.79E0,
      +                  -0.74E0, 0.0E0, 0.30E0, 0.33E0, 1.27E0/
+      DATA              ST7B/ .1, .4, .31, .72,     .1, .4, .03, .95,
+     +                  .1, .4, -.69, -.64,   .1, .4, .43, 1.37/
       DATA              DT8/0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
      +                  0.0E0, 0.68E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
      +                  0.0E0, 0.0E0, 0.68E0, -0.87E0, 0.0E0, 0.0E0,
@@ -295,44 +407,6 @@
      +                  0.0E0, 0.68E0, -0.9E0, 0.33E0, 0.0E0, 0.0E0,
      +                  0.0E0, 0.0E0, 0.68E0, -0.9E0, 0.33E0, 0.7E0,
      +                  -0.75E0, 0.2E0, 1.04E0/
-      DATA              DT9X/0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.78E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.78E0, -0.46E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.78E0, -0.46E0, -0.22E0,
-     +                  1.06E0, 0.0E0, 0.0E0, 0.0E0, 0.6E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.78E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.66E0, 0.1E0, -0.1E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.96E0, 0.1E0, -0.76E0, 0.8E0, 0.90E0,
-     +                  -0.3E0, -0.02E0, 0.6E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.78E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, -0.06E0, 0.1E0,
-     +                  -0.1E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.90E0,
-     +                  0.1E0, -0.22E0, 0.8E0, 0.18E0, -0.3E0, -0.02E0,
-     +                  0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.78E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.78E0, 0.26E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.78E0, 0.26E0, -0.76E0, 1.12E0,
-     +                  0.0E0, 0.0E0, 0.0E0/
-      DATA              DT9Y/0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.04E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.04E0, -0.78E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.04E0, -0.78E0, 0.54E0,
-     +                  0.08E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.04E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.7E0,
-     +                  -0.9E0, -0.12E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.64E0, -0.9E0, -0.30E0, 0.7E0, -0.18E0, 0.2E0,
-     +                  0.28E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.04E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.7E0, -1.08E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.64E0, -1.26E0,
-     +                  0.54E0, 0.20E0, 0.0E0, 0.0E0, 0.0E0, 0.5E0,
-     +                  0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.04E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.04E0, -0.9E0, 0.18E0, 0.0E0, 0.0E0,
-     +                  0.0E0, 0.0E0, 0.04E0, -0.9E0, 0.18E0, 0.7E0,
-     +                  -0.18E0, 0.2E0, 0.16E0/
       DATA              DT10X/0.6E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
      +                  0.0E0, 0.5E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0, 0.0E0,
      +                  0.0E0, 0.5E0, -0.9E0, 0.0E0, 0.0E0, 0.0E0,
@@ -375,6 +449,151 @@
      +                  0.0E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0,
      +                  1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0, 1.17E0,
      +                  1.17E0, 1.17E0, 1.17E0/
+      DATA              SSIZE3/ .1, .4, 1.7, 3.3 /
+*
+*                         FOR DROTM
+*
+      DATA DPAR/-2.E0,  0.E0,0.E0,0.E0,0.E0,
+     A          -1.E0,  2.E0, -3.E0, -4.E0,  5.E0,
+     B           0.E0,  0.E0,  2.E0, -3.E0,  0.E0,
+     C           1.E0,  5.E0,  2.E0,  0.E0, -4.E0/
+*                        TRUE X RESULTS F0R ROTATIONS DROTM
+      DATA DT19XA/.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     A            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     B            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     C            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     D            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     E           -.8E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     F           -.9E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     G           3.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     H            .6E0,   .1E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     I           -.8E0,  3.8E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     J           -.9E0,  2.8E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     K           3.5E0,  -.4E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     L            .6E0,   .1E0,  -.5E0,   .8E0,          0.E0,0.E0,0.E0,
+     M           -.8E0,  3.8E0, -2.2E0, -1.2E0,          0.E0,0.E0,0.E0,
+     N           -.9E0,  2.8E0, -1.4E0, -1.3E0,          0.E0,0.E0,0.E0,
+     O           3.5E0,  -.4E0, -2.2E0,  4.7E0,          0.E0,0.E0,0.E0/
+*
+      DATA DT19XB/.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     A            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     B            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     C            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     D            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     E           -.8E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     F           -.9E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     G           3.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     H            .6E0,   .1E0,  -.5E0,             0.E0,0.E0,0.E0,0.E0,
+     I           0.E0,    .1E0, -3.0E0,             0.E0,0.E0,0.E0,0.E0,
+     J           -.3E0,   .1E0, -2.0E0,             0.E0,0.E0,0.E0,0.E0,
+     K           3.3E0,   .1E0, -2.0E0,             0.E0,0.E0,0.E0,0.E0,
+     L            .6E0,   .1E0,  -.5E0,   .8E0,   .9E0,  -.3E0,  -.4E0,
+     M          -2.0E0,   .1E0,  1.4E0,   .8E0,   .6E0,  -.3E0, -2.8E0,
+     N          -1.8E0,   .1E0,  1.3E0,   .8E0,  0.E0,   -.3E0, -1.9E0,
+     O           3.8E0,   .1E0, -3.1E0,   .8E0,  4.8E0,  -.3E0, -1.5E0 /
+*
+      DATA DT19XC/.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     A            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     B            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     C            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     D            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     E           -.8E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     F           -.9E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     G           3.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     H            .6E0,   .1E0,  -.5E0,             0.E0,0.E0,0.E0,0.E0,
+     I           4.8E0,   .1E0, -3.0E0,             0.E0,0.E0,0.E0,0.E0,
+     J           3.3E0,   .1E0, -2.0E0,             0.E0,0.E0,0.E0,0.E0,
+     K           2.1E0,   .1E0, -2.0E0,             0.E0,0.E0,0.E0,0.E0,
+     L            .6E0,   .1E0,  -.5E0,   .8E0,   .9E0,  -.3E0,  -.4E0,
+     M          -1.6E0,   .1E0, -2.2E0,   .8E0,  5.4E0,  -.3E0, -2.8E0,
+     N          -1.5E0,   .1E0, -1.4E0,   .8E0,  3.6E0,  -.3E0, -1.9E0,
+     O           3.7E0,   .1E0, -2.2E0,   .8E0,  3.6E0,  -.3E0, -1.5E0 /
+*
+      DATA DT19XD/.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     A            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     B            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     C            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     D            .6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     E           -.8E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     F           -.9E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     G           3.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     H            .6E0,   .1E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     I           -.8E0, -1.0E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     J           -.9E0,  -.8E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     K           3.5E0,   .8E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     L            .6E0,   .1E0,  -.5E0,   .8E0,          0.E0,0.E0,0.E0,
+     M           -.8E0, -1.0E0,  1.4E0, -1.6E0,          0.E0,0.E0,0.E0,
+     N           -.9E0,  -.8E0,  1.3E0, -1.6E0,          0.E0,0.E0,0.E0,
+     O           3.5E0,   .8E0, -3.1E0,  4.8E0,          0.E0,0.E0,0.E0/
+*                        TRUE Y RESULTS FOR ROTATIONS DROTM
+      DATA DT19YA/.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     A            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     B            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     C            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     D            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     E            .7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     F           1.7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     G          -2.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     H            .5E0,  -.9E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     I            .7E0, -4.8E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     J           1.7E0,  -.7E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     K          -2.6E0,  3.5E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     L            .5E0,  -.9E0,   .3E0,   .7E0,          0.E0,0.E0,0.E0,
+     M            .7E0, -4.8E0,  3.0E0,  1.1E0,          0.E0,0.E0,0.E0,
+     N           1.7E0,  -.7E0,  -.7E0,  2.3E0,          0.E0,0.E0,0.E0,
+     O          -2.6E0,  3.5E0,  -.7E0, -3.6E0,          0.E0,0.E0,0.E0/
+*
+      DATA DT19YB/.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     A            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     B            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     C            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     D            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     E            .7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     F           1.7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     G          -2.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     H            .5E0,  -.9E0,   .3E0,             0.E0,0.E0,0.E0,0.E0,
+     I           4.0E0,  -.9E0,  -.3E0,             0.E0,0.E0,0.E0,0.E0,
+     J           -.5E0,  -.9E0,  1.5E0,             0.E0,0.E0,0.E0,0.E0,
+     K          -1.5E0,  -.9E0, -1.8E0,             0.E0,0.E0,0.E0,0.E0,
+     L            .5E0,  -.9E0,   .3E0,   .7E0,  -.6E0,   .2E0,   .8E0,
+     M           3.7E0,  -.9E0, -1.2E0,   .7E0, -1.5E0,   .2E0,  2.2E0,
+     N           -.3E0,  -.9E0,  2.1E0,   .7E0, -1.6E0,   .2E0,  2.0E0,
+     O          -1.6E0,  -.9E0, -2.1E0,   .7E0,  2.9E0,   .2E0, -3.8E0 /
+*
+      DATA DT19YC/.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     A            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     B            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     C            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     D            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     E            .7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     F           1.7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     G          -2.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     H            .5E0,  -.9E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     I           4.0E0, -6.3E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     J           -.5E0,   .3E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     K          -1.5E0,  3.0E0,             0.E0,0.E0,0.E0,0.E0,0.E0,
+     L            .5E0,  -.9E0,   .3E0,   .7E0,          0.E0,0.E0,0.E0,
+     M           3.7E0, -7.2E0,  3.0E0,  1.7E0,          0.E0,0.E0,0.E0,
+     N           -.3E0,   .9E0,  -.7E0,  1.9E0,          0.E0,0.E0,0.E0,
+     O          -1.6E0,  2.7E0,  -.7E0, -3.4E0,          0.E0,0.E0,0.E0/
+*
+      DATA DT19YD/.5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     A            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     B            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     C            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     D            .5E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     E            .7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     F           1.7E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     G          -2.6E0,                  0.E0,0.E0,0.E0,0.E0,0.E0,0.E0,
+     H            .5E0,  -.9E0,   .3E0,             0.E0,0.E0,0.E0,0.E0,
+     I            .7E0,  -.9E0,  1.2E0,             0.E0,0.E0,0.E0,0.E0,
+     J           1.7E0,  -.9E0,   .5E0,             0.E0,0.E0,0.E0,0.E0,
+     K          -2.6E0,  -.9E0, -1.3E0,             0.E0,0.E0,0.E0,0.E0,
+     L            .5E0,  -.9E0,   .3E0,   .7E0,  -.6E0,   .2E0,   .8E0,
+     M            .7E0,  -.9E0,  1.2E0,   .7E0, -1.5E0,   .2E0,  1.6E0,
+     N           1.7E0,  -.9E0,   .5E0,   .7E0, -1.6E0,   .2E0,  2.4E0,
+     O          -2.6E0,  -.9E0, -1.3E0,   .7E0,  2.9E0,   .2E0, -4.0E0 /
+*
 *     .. Executable Statements ..
 *
       DO 120 KI = 1, 4
@@ -421,6 +640,39 @@
    80          CONTINUE
                CALL STEST(LENX,SX,STX,SSIZE2(1,1),1.0E0)
                CALL STEST(LENY,SY,STY,SSIZE2(1,1),1.0E0)
+            ELSEIF (ICASE.EQ.12) THEN
+*              .. SROTM ..
+               KNI=KN+4*(KI-1)
+               DO KPAR=1,4
+                  DO I=1,7
+                     SX(I) = DX1(I)
+                     SY(I) = DY1(I)
+                     STX(I)= DT19X(I,KPAR,KNI)
+                     STY(I)= DT19Y(I,KPAR,KNI)
+                  END DO
+*
+                  DO I=1,5
+                     DTEMP(I) = DPAR(I,KPAR)
+                  END DO
+*
+                  DO  I=1,LENX
+                     SSIZE(I)=STX(I)
+                  END DO
+*                   SEE REMARK ABOVE ABOUT DT11X(1,2,7)
+*                       AND DT11X(5,3,8).
+                  IF ((KPAR .EQ. 2) .AND. (KNI .EQ. 7))
+     $               SSIZE(1) = 2.4E0
+                  IF ((KPAR .EQ. 3) .AND. (KNI .EQ. 8))
+     $               SSIZE(5) = 1.8E0
+*
+                  CALL   SROTM(N,SX,INCX,SY,INCY,DTEMP)
+                  CALL   STEST(LENX,SX,STX,SSIZE,SFAC)
+                  CALL   STEST(LENY,SY,STY,STY,SFAC)
+               END DO
+            ELSEIF (ICASE.EQ.13) THEN
+*              .. SDSROT ..
+               CALL STEST1 (SDSDOT(N,.1,SX,INCX,SY,INCY),
+     $                 ST7B(KN,KI),SSIZE3(KN),SFAC)
             ELSE
                WRITE (NOUT,*) ' Shouldn''t be here in CHECK2'
                STOP
@@ -436,10 +688,10 @@
 *     .. Scalar Arguments ..
       REAL              SFAC
 *     .. Scalars in Common ..
-      INTEGER           ICASE, INCX, INCY, MODE, N
+      INTEGER           ICASE, INCX, INCY, N
       LOGICAL           PASS
 *     .. Local Scalars ..
-      REAL              SA, SC, SS
+      REAL              SC, SS
       INTEGER           I, K, KI, KN, KSIZE, LENX, LENY, MX, MY
 *     .. Local Arrays ..
       REAL              COPYX(5), COPYY(5), DT9X(7,4,4), DT9Y(7,4,4),
@@ -454,9 +706,8 @@
 *     .. Intrinsic Functions ..
       INTRINSIC         ABS, MIN
 *     .. Common blocks ..
-      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Data statements ..
-      DATA              SA/0.3E0/
       DATA              INCXS/1, 2, -2, -1/
       DATA              INCYS/1, -2, 1, -2/
       DATA              LENS/1, 1, 2, 4, 1, 1, 3, 7/
@@ -647,14 +898,15 @@
 *
 *     .. Parameters ..
       INTEGER          NOUT
-      PARAMETER        (NOUT=6)
+      REAL             ZERO
+      PARAMETER        (NOUT=6, ZERO=0.0E0)
 *     .. Scalar Arguments ..
       REAL             SFAC
       INTEGER          LEN
 *     .. Array Arguments ..
       REAL             SCOMP(LEN), SSIZE(LEN), STRUE(LEN)
 *     .. Scalars in Common ..
-      INTEGER          ICASE, INCX, INCY, MODE, N
+      INTEGER          ICASE, INCX, INCY, N
       LOGICAL          PASS
 *     .. Local Scalars ..
       REAL             SD
@@ -665,12 +917,12 @@
 *     .. Intrinsic Functions ..
       INTRINSIC        ABS
 *     .. Common blocks ..
-      COMMON           /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON           /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Executable Statements ..
 *
       DO 40 I = 1, LEN
          SD = SCOMP(I) - STRUE(I)
-         IF (SDIFF(ABS(SSIZE(I))+ABS(SFAC*SD),ABS(SSIZE(I))).EQ.0.0E0)
+         IF (ABS(SFAC*SD) .LE. ABS(SSIZE(I))*EPSILON(ZERO))
      +       GO TO 40
 *
 *                             HERE    SCOMP(I) IS NOT CLOSE TO STRUE(I).
@@ -680,16 +932,16 @@
          PASS = .FALSE.
          WRITE (NOUT,99999)
          WRITE (NOUT,99998)
-   20    WRITE (NOUT,99997) ICASE, N, INCX, INCY, MODE, I, SCOMP(I),
+   20    WRITE (NOUT,99997) ICASE, N, INCX, INCY, I, SCOMP(I),
      +     STRUE(I), SD, SSIZE(I)
    40 CONTINUE
       RETURN
 *
 99999 FORMAT ('                                       FAIL')
-99998 FORMAT (/' CASE  N INCX INCY MODE  I                            ',
+99998 FORMAT (/' CASE  N INCX INCY  I                            ',
      +       ' COMP(I)                             TRUE(I)  DIFFERENCE',
      +       '     SIZE(I)',/1X)
-99997 FORMAT (1X,I4,I3,3I5,I3,2E36.8,2E12.4)
+99997 FORMAT (1X,I4,I3,2I5,I3,2E36.8,2E12.4)
       END
       SUBROUTINE STEST1(SCOMP1,STRUE1,SSIZE,SFAC)
 *     ************************* STEST1 *****************************
@@ -739,12 +991,12 @@
 *     .. Scalar Arguments ..
       INTEGER           ICOMP, ITRUE
 *     .. Scalars in Common ..
-      INTEGER           ICASE, INCX, INCY, MODE, N
+      INTEGER           ICASE, INCX, INCY, N
       LOGICAL           PASS
 *     .. Local Scalars ..
       INTEGER           ID
 *     .. Common blocks ..
-      COMMON            /COMBLA/ICASE, N, INCX, INCY, MODE, PASS
+      COMMON            /COMBLA/ICASE, N, INCX, INCY, PASS
 *     .. Executable Statements ..
 *
       IF (ICOMP.EQ.ITRUE) GO TO 40
@@ -757,13 +1009,13 @@
       WRITE (NOUT,99999)
       WRITE (NOUT,99998)
    20 ID = ICOMP - ITRUE
-      WRITE (NOUT,99997) ICASE, N, INCX, INCY, MODE, ICOMP, ITRUE, ID
+      WRITE (NOUT,99997) ICASE, N, INCX, INCY, ICOMP, ITRUE, ID
    40 CONTINUE
       RETURN
 *
 99999 FORMAT ('                                       FAIL')
-99998 FORMAT (/' CASE  N INCX INCY MODE                               ',
+99998 FORMAT (/' CASE  N INCX INCY                               ',
      +       ' COMP                                TRUE     DIFFERENCE',
      +       /1X)
-99997 FORMAT (1X,I4,I3,3I5,2I36,I12)
+99997 FORMAT (1X,I4,I3,2I5,2I36,I12)
       END