Add non-trivial terminating case to xLARFT

SRC/CMakeLists.txt

@@ -108,7 +108,7 @@ set(SLASRC
    slaqgb.f slaqge.f slaqp2.f slaqps.f slaqp2rk.f slaqp3rk.f slaqsb.f slaqsp.f slaqsy.f
    slaqr0.f slaqr1.f slaqr2.f slaqr3.f slaqr4.f slaqr5.f
    slaqtr.f slar1v.f slar2v.f ilaslr.f ilaslc.f
-   slarf.f  slarf1f.f slarf1l.f slarfb.f slarfb_gett.f slarfg.f slarfgp.f slarft.f slarfx.f slarfy.f
+   slarf.f  slarf1f.f slarf1l.f slarfb.f slarfb_gett.f slarfg.f slarfgp.f slarft.f slarft_lvl2.f slarfx.f slarfy.f
    slargv.f slarmm.f slarrv.f slartv.f
    slarz.f  slarzb.f slarzt.f slasy2.f
    slasyf.f slasyf_rook.f slasyf_rk.f slasyf_aa.f
@@ -220,7 +220,7 @@ set(CLASRC
    claqhb.f claqhe.f claqhp.f claqp2.f claqps.f claqp2rk.f claqp3rk.f claqsb.f
    claqr0.f claqr1.f claqr2.f claqr3.f claqr4.f claqr5.f
    claqsp.f claqsy.f clar1v.f clar2v.f ilaclr.f ilaclc.f
-   clarf.f  clarf1f.f clarf1l.f clarfb.f clarfb_gett.f clarfg.f clarfgp.f clarft.f
+   clarf.f  clarf1f.f clarf1l.f clarfb.f clarfb_gett.f clarfg.f clarfgp.f clarft.f clarft_lvl2.f
    clarfx.f clarfy.f clargv.f clarnv.f clarrv.f clartg.f90 clartv.f
    clarz.f  clarzb.f clarzt.f clascl.f claset.f clasr.f  classq.f90
    claswp.f clasyf.f clasyf_rook.f clasyf_rk.f clasyf_aa.f
@@ -309,7 +309,7 @@ set(DLASRC
    dlaqgb.f dlaqge.f dlaqp2.f dlaqps.f dlaqp2rk.f dlaqp3rk.f dlaqsb.f dlaqsp.f dlaqsy.f
    dlaqr0.f dlaqr1.f dlaqr2.f dlaqr3.f dlaqr4.f dlaqr5.f
    dlaqtr.f dlar1v.f dlar2v.f iladlr.f iladlc.f
-   dlarf.f  dlarfb.f dlarfb_gett.f dlarfg.f dlarfgp.f dlarft.f dlarfx.f dlarfy.f dlarf1f.f dlarf1l.f
+   dlarf.f  dlarfb.f dlarfb_gett.f dlarfg.f dlarfgp.f dlarft.f dlarft_lvl2.f dlarfx.f dlarfy.f dlarf1f.f dlarf1l.f
    dlargv.f dlarmm.f dlarrv.f dlartv.f
    dlarz.f  dlarzb.f dlarzt.f dlaswp.f dlasy2.f
    dlasyf.f dlasyf_rook.f dlasyf_rk.f dlasyf_aa.f
@@ -421,7 +421,7 @@ set(ZLASRC
    zlaqr0.f zlaqr1.f zlaqr2.f zlaqr3.f zlaqr4.f zlaqr5.f
    zlaqsp.f zlaqsy.f zlar1v.f zlar2v.f ilazlr.f ilazlc.f
    zlarcm.f zlarf.f  zlarfb.f zlarfb_gett.f zlarf1f.f zlarf1l.f
-   zlarfg.f zlarfgp.f zlarft.f
+   zlarfg.f zlarfgp.f zlarft.f zlarft_lvl2.f
    zlarfx.f zlarfy.f zlargv.f zlarnv.f zlarrv.f zlartg.f90 zlartv.f
    zlarz.f  zlarzb.f zlarzt.f zlascl.f zlaset.f zlasr.f
    zlassq.f90 zlaswp.f zlasyf.f zlasyf_rook.f zlasyf_rk.f zlasyf_aa.f

SRC/Makefile

@@ -137,7 +137,7 @@ SLASRC = \
    slaqgb.o slaqge.o slaqp2.o slaqps.o slaqp2rk.o slaqp3rk.o slaqsb.o slaqsp.o slaqsy.o \
    slaqr0.o slaqr1.o slaqr2.o slaqr3.o slaqr4.o slaqr5.o \
    slaqtr.o slar1v.o slar2v.o ilaslr.o ilaslc.o \
-   slarf.o  slarf1f.o slarf1l.o slarfb.o slarfb_gett.o slarfg.o slarfgp.o slarft.o slarfx.o slarfy.o \
+   slarf.o  slarf1f.o slarf1l.o slarfb.o slarfb_gett.o slarfg.o slarfgp.o slarft.o slarft_lvl2.o slarfx.o slarfy.o \
    slargv.o slarmm.o slarrv.o slartv.o \
    slarz.o  slarzb.o slarzt.o slaswp.o slasy2.o slasyf.o slasyf_rook.o \
    slasyf_rk.o \
@@ -249,7 +249,7 @@ CLASRC = \
    claqhb.o claqhe.o claqhp.o claqp2.o claqps.o claqp2rk.o claqp3rk.o claqsb.o \
    claqr0.o claqr1.o claqr2.o claqr3.o claqr4.o claqr5.o \
    claqsp.o claqsy.o clar1v.o clar2v.o ilaclr.o ilaclc.o \
-   clarf.o  clarf1f.o clarf1l.o clarfb.o clarfb_gett.o clarfg.o clarft.o clarfgp.o \
+   clarf.o  clarf1f.o clarf1l.o clarfb.o clarfb_gett.o clarfg.o clarft.o clarft_lvl2.o clarfgp.o \
    clarfx.o clarfy.o clargv.o clarnv.o clarrv.o clartg.o clartv.o \
    clarz.o  clarzb.o clarzt.o clascl.o claset.o clasr.o  classq.o \
    claswp.o clasyf.o clasyf_rook.o clasyf_rk.o clasyf_aa.o \
@@ -339,7 +339,7 @@ DLASRC = \
    dlaqgb.o dlaqge.o dlaqp2.o dlaqps.o dlaqp2rk.o dlaqp3rk.o dlaqsb.o dlaqsp.o dlaqsy.o \
    dlaqr0.o dlaqr1.o dlaqr2.o dlaqr3.o dlaqr4.o dlaqr5.o \
    dlaqtr.o dlar1v.o dlar2v.o iladlr.o iladlc.o \
-   dlarf.o  dlarfb.o dlarfb_gett.o dlarfg.o dlarfgp.o dlarft.o dlarfx.o dlarfy.o dlarf1f.o dlarf1l.o\
+   dlarf.o  dlarfb.o dlarfb_gett.o dlarfg.o dlarfgp.o dlarft.o dlarft_lvl2.o dlarfx.o dlarfy.o dlarf1f.o dlarf1l.o\
    dlargv.o dlarmm.o dlarrv.o dlartv.o \
    dlarz.o  dlarzb.o dlarzt.o dlaswp.o dlasy2.o \
    dlasyf.o dlasyf_rook.o dlasyf_rk.o \
@@ -454,7 +454,7 @@ ZLASRC = \
    zlaqr0.o zlaqr1.o zlaqr2.o zlaqr3.o zlaqr4.o zlaqr5.o \
    zlaqsp.o zlaqsy.o zlar1v.o zlar2v.o ilazlr.o ilazlc.o \
    zlarcm.o zlarf.o  zlarfb.o zlarfb_gett.o zlarf1f.o zlarf1l.o \
-   zlarfg.o zlarft.o zlarfgp.o \
+   zlarfg.o zlarft.o zlarft_lvl2.o zlarfgp.o \
    zlarfx.o zlarfy.o zlargv.o zlarnv.o zlarrv.o zlartg.o zlartv.o \
    zlarz.o  zlarzb.o zlarzt.o zlascl.o zlaset.o zlasr.o \
    zlassq.o zlaswp.o zlasyf.o zlasyf_rook.o zlasyf_rk.o zlasyf_aa.o \

SRC/VARIANTS/Makefile

@@ -30,11 +30,8 @@ LUREC = lu/REC/cgetrf.o lu/REC/dgetrf.o lu/REC/sgetrf.o lu/REC/zgetrf.o
 
 QRLL = qr/LL/cgeqrf.o qr/LL/dgeqrf.o qr/LL/sgeqrf.o qr/LL/zgeqrf.o
 
-LARFTL2 = larft/LL-LVL2/clarft.o larft/LL-LVL2/dlarft.o larft/LL-LVL2/slarft.o larft/LL-LVL2/zlarft.o
-
-
 .PHONY: all
-all: cholrl.a choltop.a lucr.a lull.a lurec.a qrll.a larftl2.a
+all: cholrl.a choltop.a lucr.a lull.a lurec.a qrll.a
 
 cholrl.a: $(CHOLRL)
 	$(AR) $(ARFLAGS) $@ $^
@@ -60,13 +57,9 @@ qrll.a: $(QRLL)
 	$(AR) $(ARFLAGS) $@ $^
 	$(RANLIB) $@
 
-larftl2.a: $(LARFTL2)
-	$(AR) $(ARFLAGS) $@ $^
-	$(RANLIB) $@
-
 .PHONY: clean cleanobj cleanlib
 clean: cleanobj cleanlib
 cleanobj:
-	rm -f $(CHOLRL) $(CHOLTOP) $(LUCR) $(LULL) $(LUREC) $(QRLL) $(LARFTL2)
+	rm -f $(CHOLRL) $(CHOLTOP) $(LUCR) $(LULL) $(LUREC) $(QRLL)
 cleanlib:
 	rm -f *.a

SRC/VARIANTS/larft/LL-LVL2/clarft.f

@@ -1,11 +1,11 @@
-*> \brief \b CLARFT VARIANT: left-looking Level 2 BLAS version of the algorithm
+*> \brief \b CLARFT_LVL2: Level 2 BLAS version for terminating case of CLARFT
 *
 *  =========== DOCUMENTATION ===========
 *
 * Online html documentation available at
 *            http://www.netlib.org/lapack/explore-html/
 *
-*> Download CLARFT + dependencies
+*> Download CLARFT_LVL2 + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/clarft.f">
 *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/clarft.f">
@@ -16,7 +16,8 @@
 *  Definition:
 *  ===========
 *
-*       SUBROUTINE CLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
+*       SUBROUTINE CLARFT_LVL2( DIRECT, STOREV, N, K, V, LDV, TAU,
+*                    T, LDT )
 *
 *       .. Scalar Arguments ..
 *       CHARACTER          DIRECT, STOREV
@@ -32,7 +33,7 @@
 *>
 *> \verbatim
 *>
-*> CLARFT forms the triangular factor T of a complex block reflector H
+*> CLARFT_LVL2 forms the triangular factor T of a complex block reflector H
 *> of order n, which is defined as a product of k elementary reflectors.
 *>
 *> If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular;
@@ -322,6 +323,6 @@ SUBROUTINE CLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
       END IF
       RETURN
 *
-*     End of CLARFT
+*     End of CLARFT_LVL2
 *
       END

SRC/VARIANTS/larft/LL-LVL2/dlarft.f

@@ -1,11 +1,11 @@
-*> \brief \b DLARFT VARIANT: left-looking Level 2 BLAS version of the algorithm
+*> \brief \b DLARFT_LVL2: Level 2 BLAS version for terminating case of DLARFT.
 *
 *  =========== DOCUMENTATION ===========
 *
 * Online html documentation available at
 *            http://www.netlib.org/lapack/explore-html/
 *
-*> Download DLARFT + dependencies
+*> Download DLARFT_LVL2 + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarft.f">
 *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarft.f">
@@ -16,7 +16,8 @@
 *  Definition:
 *  ===========
 *
-*       SUBROUTINE DLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
+*       SUBROUTINE DLARFT_LVL2( DIRECT, STOREV, N, K, V, LDV, TAU,
+*                    T, LDT )
 *
 *       .. Scalar Arguments ..
 *       CHARACTER          DIRECT, STOREV
@@ -32,7 +33,7 @@
 *>
 *> \verbatim
 *>
-*> DLARFT forms the triangular factor T of a real block reflector H
+*> DLARFT_LVL2 forms the triangular factor T of a real block reflector H
 *> of order n, which is defined as a product of k elementary reflectors.
 *>
 *> If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular;
@@ -320,6 +321,6 @@ SUBROUTINE DLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
       END IF
       RETURN
 *
-*     End of DLARFT
+*     End of DLARFT_LVL2
 *
       END

SRC/VARIANTS/larft/LL-LVL2/slarft.f

@@ -1,11 +1,11 @@
-*> \brief \b SLARFT VARIANT: left-looking Level 2 BLAS version of the algorithm.
+*> \brief \b SLARFT_LVL2: Level 2 BLAS version for terminating case of SLARFT.
 *
 *  =========== DOCUMENTATION ===========
 *
 * Online html documentation available at
 *            http://www.netlib.org/lapack/explore-html/
 *
-*> Download SLARFT + dependencies
+*> Download SLARFT_LVL2 + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slarft.f">
 *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slarft.f">
@@ -16,7 +16,8 @@
 *  Definition:
 *  ===========
 *
-*       SUBROUTINE SLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
+*       SUBROUTINE SLARFT_LVL2( DIRECT, STOREV, N, K, V, LDV, TAU,
+*                    T, LDT )
 *
 *       .. Scalar Arguments ..
 *       CHARACTER          DIRECT, STOREV
@@ -32,7 +33,7 @@
 *>
 *> \verbatim
 *>
-*> SLARFT forms the triangular factor T of a real block reflector H
+*> SLARFT_LVL2 forms the triangular factor T of a real block reflector H
 *> of order n, which is defined as a product of k elementary reflectors.
 *>
 *> If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular;
@@ -320,6 +321,6 @@ SUBROUTINE SLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
       END IF
       RETURN
 *
-*     End of SLARFT
+*     End of SLARFT_LVL2
 *
       END

SRC/VARIANTS/larft/LL-LVL2/zlarft.f

@@ -1,11 +1,11 @@
-*> \brief \b ZLARFT VARIANT: left-looking Level 2 BLAS version of the algorithm.
+*> \brief \b ZLARFT_LVL2: Level 2 BLAS version for terminating case of ZLARFT.
 *
 *  =========== DOCUMENTATION ===========
 *
 * Online html documentation available at
 *            http://www.netlib.org/lapack/explore-html/
 *
-*> Download ZLARFT + dependencies
+*> Download ZLARFT_LVL2 + dependencies
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarft.f">
 *> [TGZ]</a>
 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarft.f">
@@ -16,7 +16,8 @@
 *  Definition:
 *  ===========
 *
-*       SUBROUTINE ZLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
+*       SUBROUTINE ZLARFT_LVL2( DIRECT, STOREV, N, K, V, LDV, TAU,
+*                    T, LDT )
 *
 *       .. Scalar Arguments ..
 *       CHARACTER          DIRECT, STOREV
@@ -32,7 +33,7 @@
 *>
 *> \verbatim
 *>
-*> ZLARFT forms the triangular factor T of a complex block reflector H
+*> ZLARFT_LVL2 forms the triangular factor T of a complex block reflector H
 *> of order n, which is defined as a product of k elementary reflectors.
 *>
 *> If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular;
@@ -321,6 +322,6 @@ SUBROUTINE ZLARFT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT )
       END IF
       RETURN
 *
-*     End of ZLARFT
+*     End of ZLARFT_LVL2
 *
       END

SRC/clarft.f

@@ -178,11 +178,12 @@ RECURSIVE SUBROUTINE CLARFT( DIRECT, STOREV, N, K, V, LDV,
 *     .. Parameters ..
 *
       COMPLEX           ONE, NEG_ONE, ZERO
-      PARAMETER(ONE=1.0E+0, ZERO = 0.0E+0, NEG_ONE=-1.0E+0)
+      PARAMETER(ONE=(1.0E+0,0.0E+0), ZERO = (0.0E+0,0.0E+0),
+     $            NEG_ONE=(-1.0E+0,0.0E+0))
 *
 *     .. Local Scalars ..
 *
-      INTEGER           I,J,L
+      INTEGER           I,J,L,NX
       LOGICAL           QR,LQ,QL,DIRF,COLV
 *
 *     .. External Subroutines ..
@@ -192,7 +193,8 @@ RECURSIVE SUBROUTINE CLARFT( DIRECT, STOREV, N, K, V, LDV,
 *     .. External Functions..
 *
       LOGICAL           LSAME
-      EXTERNAL          LSAME
+      INTEGER           ILAENV
+      EXTERNAL          LSAME, ILAENV
 *
 *     .. Intrinsic Functions..
 *
@@ -218,6 +220,14 @@ RECURSIVE SUBROUTINE CLARFT( DIRECT, STOREV, N, K, V, LDV,
          RETURN
       END IF
 *
+*     Determine when to cross over into the level 2 based implementation
+*
+      NX = ILAENV(3, "CLARFT", DIRECT // STOREV, N, K, -1, -1)
+      IF(K.LT.NX) THEN
+         CALL CLARFT_LVL2(DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT)
+         RETURN
+      END IF
+*
 *     Beginning of executable statements
 *
       L = K / 2