Adddlasq routines and tests

cgo/lapack.go

@@ -28,6 +28,7 @@ const (
 	badUplo       = "lapack: illegal triangle"
 	badWork       = "lapack: insufficient working memory"
 	badWorkStride = "lapack: insufficient working array stride"
+	badZ          = "lapack: insufficient z length"
 	kGTM          = "lapack: k > m"
 	kGTN          = "lapack: k > n"
 	kLT0          = "lapack: k < 0"

internal/testdata/dlasqtest/Makefile

@@ -0,0 +1,27 @@
+FC = gfortran
+FFLAGS = -O2
+
+targets = testdlasq1 testdlasq2 testdlasq3 testdlasq4
+objects = dlamch.o lsame.o xerbla.o ieeeck.o iparmq.o ilaenv.o dlasrt.o \
+          dlaisnan.o disnan.o dlasq6.o dlasq5.o dlasq4.o dlasq3.o dlasq2.o
+
+default : $(targets)
+.PHONY : default
+
+testdlasq1 : testdlasq1.o $(objects) dcopy.o dlas2.o dlascl.o dlasq1.o
+
+testdlasq2 : testdlasq2.o $(objects)
+
+testdlasq3 : testdlasq3.o $(objects)
+
+testdlasq4 : testdlasq4.o $(objects)
+
+% : %.o
+	$(FC) $(FFLAGS) $^ -o $@
+
+%.o : %.f90
+	$(FC) $(FFLAGS) -c -o $@ $<
+
+clean :
+	rm -f *.o $(targets) *.txt
+.PHONY : clean

internal/testdata/dlasqtest/Readme.md

@@ -0,0 +1,23 @@
+This set of codes generates tests for the dlasq* routines.
+
+The high level routines are testdlasq*.f90. The testdlasq*.f90 routines are intended in combination with the routines in gonum/lapack/testlapack. 
+During execution, these high-level routines record the inputs and outputs
+to the executed subroutines. For example, testdlasq3, when executed,
+generates files gen4tests.txt and gen5tests.txt that record the inputs
+and outputs to the evaluation of dlasq4 and dlasq5 respectively. The output 
+format in gen*tests.txt is the struct literal that matches the respective test
+in gonum/lapack/testlapack/dlasq*.go. Thus, these generated tests can be copied
+into the testing routine to test the native implementation.
+
+The testing routines in testlapack have code for generating inputs for these 
+fortran routines. Typically, one would isolate the particular failing test,
+and modify the testlapack routine to print it to the terminal, for example
+in testlapack/dlasq3.go one might add
+
+    printDlasq3FortranInput(test)
+    os.Exit(1)
+
+This prints variable initialization for dlasq3 routine to the terminal, which
+can be copied and pasted into testdlasq3.f90. Please note that this process
+is not completely automated. Some of the other initialization may need to
+change, particularly the size allocation of the data array(s).

internal/testdata/dlasqtest/dcopy.f

@@ -0,0 +1,115 @@
+*> \brief \b DCOPY
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE DCOPY(N,DX,INCX,DY,INCY)
+* 
+*       .. Scalar Arguments ..
+*       INTEGER INCX,INCY,N
+*       ..
+*       .. Array Arguments ..
+*       DOUBLE PRECISION DX(*),DY(*)
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*>    DCOPY copies a vector, x, to a vector, y.
+*>    uses unrolled loops for increments equal to one.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup double_blas_level1
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>     jack dongarra, linpack, 3/11/78.
+*>     modified 12/3/93, array(1) declarations changed to array(*)
+*> \endverbatim
+*>
+*  =====================================================================
+      SUBROUTINE DCOPY(N,DX,INCX,DY,INCY)
+*
+*  -- Reference BLAS level1 routine (version 3.4.0) --
+*  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      INTEGER INCX,INCY,N
+*     ..
+*     .. Array Arguments ..
+      DOUBLE PRECISION DX(*),DY(*)
+*     ..
+*
+*  =====================================================================
+*
+*     .. Local Scalars ..
+      INTEGER I,IX,IY,M,MP1
+*     ..
+*     .. Intrinsic Functions ..
+      INTRINSIC MOD
+*     ..
+      IF (N.LE.0) RETURN
+      IF (INCX.EQ.1 .AND. INCY.EQ.1) THEN
+*
+*        code for both increments equal to 1
+*
+*
+*        clean-up loop
+*
+         M = MOD(N,7)
+         IF (M.NE.0) THEN
+            DO I = 1,M
+               DY(I) = DX(I)
+            END DO
+            IF (N.LT.7) RETURN
+         END IF   
+         MP1 = M + 1
+         DO I = MP1,N,7
+            DY(I) = DX(I)
+            DY(I+1) = DX(I+1)
+            DY(I+2) = DX(I+2)
+            DY(I+3) = DX(I+3)
+            DY(I+4) = DX(I+4)
+            DY(I+5) = DX(I+5)
+            DY(I+6) = DX(I+6)
+         END DO
+      ELSE      
+*
+*        code for unequal increments or equal increments
+*          not equal to 1
+*
+         IX = 1
+         IY = 1
+         IF (INCX.LT.0) IX = (-N+1)*INCX + 1
+         IF (INCY.LT.0) IY = (-N+1)*INCY + 1
+         DO I = 1,N
+            DY(IY) = DX(IX)
+            IX = IX + INCX
+            IY = IY + INCY
+         END DO
+      END IF
+      RETURN
+      END

internal/testdata/dlasqtest/disnan.f

@@ -0,0 +1,80 @@
+*> \brief \b DISNAN tests input for NaN.
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download DISNAN + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/disnan.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/disnan.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/disnan.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       LOGICAL FUNCTION DISNAN( DIN )
+* 
+*       .. Scalar Arguments ..
+*       DOUBLE PRECISION   DIN
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> DISNAN returns .TRUE. if its argument is NaN, and .FALSE.
+*> otherwise.  To be replaced by the Fortran 2003 intrinsic in the
+*> future.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] DIN
+*> \verbatim
+*>          DIN is DOUBLE PRECISION
+*>          Input to test for NaN.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date September 2012
+*
+*> \ingroup auxOTHERauxiliary
+*
+*  =====================================================================
+      LOGICAL FUNCTION DISNAN( DIN )
+*
+*  -- LAPACK auxiliary routine (version 3.4.2) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     September 2012
+*
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION   DIN
+*     ..
+*
+*  =====================================================================
+*
+*  .. External Functions ..
+      LOGICAL DLAISNAN
+      EXTERNAL DLAISNAN
+*  ..
+*  .. Executable Statements ..
+      DISNAN = DLAISNAN(DIN,DIN)
+      RETURN
+      END

internal/testdata/dlasqtest/dlaisnan.f

@@ -0,0 +1,91 @@
+*> \brief \b DLAISNAN tests input for NaN by comparing two arguments for inequality.
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download DLAISNAN + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlaisnan.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlaisnan.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlaisnan.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       LOGICAL FUNCTION DLAISNAN( DIN1, DIN2 )
+* 
+*       .. Scalar Arguments ..
+*       DOUBLE PRECISION   DIN1, DIN2
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> This routine is not for general use.  It exists solely to avoid
+*> over-optimization in DISNAN.
+*>
+*> DLAISNAN checks for NaNs by comparing its two arguments for
+*> inequality.  NaN is the only floating-point value where NaN != NaN
+*> returns .TRUE.  To check for NaNs, pass the same variable as both
+*> arguments.
+*>
+*> A compiler must assume that the two arguments are
+*> not the same variable, and the test will not be optimized away.
+*> Interprocedural or whole-program optimization may delete this
+*> test.  The ISNAN functions will be replaced by the correct
+*> Fortran 03 intrinsic once the intrinsic is widely available.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] DIN1
+*> \verbatim
+*>          DIN1 is DOUBLE PRECISION
+*> \endverbatim
+*>
+*> \param[in] DIN2
+*> \verbatim
+*>          DIN2 is DOUBLE PRECISION
+*>          Two numbers to compare for inequality.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date September 2012
+*
+*> \ingroup auxOTHERauxiliary
+*
+*  =====================================================================
+      LOGICAL FUNCTION DLAISNAN( DIN1, DIN2 )
+*
+*  -- LAPACK auxiliary routine (version 3.4.2) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     September 2012
+*
+*     .. Scalar Arguments ..
+      DOUBLE PRECISION   DIN1, DIN2
+*     ..
+*
+*  =====================================================================
+*
+*  .. Executable Statements ..
+      DLAISNAN = (DIN1.NE.DIN2)
+      RETURN
+      END