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[patch, libfortran] AMD-specific versions of library matmul
- From: Thomas Koenig <tkoenig at netcologne dot de>
- To: "fortran at gcc dot gnu dot org" <fortran at gcc dot gnu dot org>, gcc-patches <gcc-patches at gcc dot gnu dot org>
- Date: Thu, 25 May 2017 12:45:46 +0200
- Subject: [patch, libfortran] AMD-specific versions of library matmul
- Authentication-results: sourceware.org; auth=none
Hello world,
the attached patch speeds up the library version of matmul for AMD chips
by selecting AVX128 instructions and, depending on which instructions
are supported, either FMA3 (aka FMA) or FMA4.
Jerry tested this on his AMD systems, and found a speedup vs. the
current code of around 10%.
I have been unable to test this on a Ryzen system (the new compile farm
machines won't accept my login yet). From the benchmarks I have read,
this method should also work fairly well on a Ryzen.
So, OK for trunk?
Regards
Thomas
2017-05-25 Thomas Koenig <tkoenig@gcc.gnu.org>
PR libfortran/78379
* Makefile.am: Add generated/matmulavx128_*.c files.
Handle them for compiling and setting the right flags.
* acinclude.m4: Add tests for FMA3, FMA4 and AVX128.
* configure.ac: Call them.
* Makefile.in: Regenerated.
* config.h.in: Regenerated.
* configure: Regenerated.
* m4/matmul.m4: Handle AMD chips by calling 128-bit AVX
versions which use FMA3 or FMA4.
* m4/matmulavx128.m4: New file.
* generated/matmul_c10.c: Regenerated.
* generated/matmul_c16.c: Regenerated.
* generated/matmul_c4.c: Regenerated.
* generated/matmul_c8.c: Regenerated.
* generated/matmul_i1.c: Regenerated.
* generated/matmul_i16.c: Regenerated.
* generated/matmul_i2.c: Regenerated.
* generated/matmul_i4.c: Regenerated.
* generated/matmul_i8.c: Regenerated.
* generated/matmul_r10.c: Regenerated.
* generated/matmul_r16.c: Regenerated.
* generated/matmul_r4.c: Regenerated.
* generated/matmul_r8.c: Regenerated.
* generated/matmulavx128_c10.c: New file.
* generated/matmulavx128_c16.c: New file.
* generated/matmulavx128_c4.c: New file.
* generated/matmulavx128_c8.c: New file.
* generated/matmulavx128_i1.c: New file.
* generated/matmulavx128_i16.c: New file.
* generated/matmulavx128_i2.c: New file.
* generated/matmulavx128_i4.c: New file.
* generated/matmulavx128_i8.c: New file.
* generated/matmulavx128_r10.c: New file.
* generated/matmulavx128_r16.c: New file.
* generated/matmulavx128_r4.c: New file.
* generated/matmulavx128_r8.c: New file.
Index: Makefile.am
===================================================================
--- Makefile.am (Revision 247566)
+++ Makefile.am (Arbeitskopie)
@@ -460,6 +460,21 @@ $(srcdir)/generated/matmul_c8.c \
$(srcdir)/generated/matmul_c10.c \
$(srcdir)/generated/matmul_c16.c
+i_matmulavx128_c= \
+$(srcdir)/generated/matmulavx128_i1.c \
+$(srcdir)/generated/matmulavx128_i2.c \
+$(srcdir)/generated/matmulavx128_i4.c \
+$(srcdir)/generated/matmulavx128_i8.c \
+$(srcdir)/generated/matmulavx128_i16.c \
+$(srcdir)/generated/matmulavx128_r4.c \
+$(srcdir)/generated/matmulavx128_r8.c \
+$(srcdir)/generated/matmulavx128_r10.c \
+$(srcdir)/generated/matmulavx128_r16.c \
+$(srcdir)/generated/matmulavx128_c4.c \
+$(srcdir)/generated/matmulavx128_c8.c \
+$(srcdir)/generated/matmulavx128_c10.c \
+$(srcdir)/generated/matmulavx128_c16.c
+
i_matmull_c= \
$(srcdir)/generated/matmul_l4.c \
$(srcdir)/generated/matmul_l8.c \
@@ -641,7 +656,7 @@ gfor_built_src= $(i_all_c) $(i_any_c) $(i_count_c)
$(i_iparity_c) $(i_norm2_c) $(i_parity_c) \
$(i_matmul_c) $(i_matmull_c) $(i_shape_c) $(i_eoshift1_c) \
$(i_eoshift3_c) $(i_cshift1_c) $(i_reshape_c) $(in_pack_c) $(in_unpack_c) \
- $(i_pow_c) $(i_pack_c) $(i_unpack_c) \
+ $(i_pow_c) $(i_pack_c) $(i_unpack_c) $(i_matmulavx128_c) \
$(i_spread_c) selected_int_kind.inc selected_real_kind.inc kinds.h \
$(i_cshift0_c) kinds.inc c99_protos.inc fpu-target.h fpu-target.inc
@@ -796,7 +811,12 @@ intrinsics/dprod_r8.f90 \
intrinsics/f2c_specifics.F90
# Turn on vectorization and loop unrolling for matmul.
-$(patsubst %.c,%.lo,$(notdir $(i_matmul_c))): AM_CFLAGS += -ffast-math -ftree-vectorize -funroll-loops --param max-unroll-times=4
+$(patsubst %.c,%.lo,$(notdir $(i_matmul_c))): AM_CFLAGS += -ffast-math -ftree-vectorize -funroll-loops --param max-unroll-times=4
+
+if HAVE_AVX128
+# Turn on AVX128 for AMD-specific matmul, but only if the compiler understands -mprefer=avx128
+$(patsubst %.c,%.lo,$(notdir $(i_matmulavx128_c))): AM_CFLAGS += -ffast-math -ftree-vectorize -funroll-loops --param max-unroll-times=4 -mprefer-avx128
+endif
# Logical matmul doesn't vectorize.
$(patsubst %.c,%.lo,$(notdir $(i_matmull_c))): AM_CFLAGS += -funroll-loops
@@ -936,6 +956,9 @@ $(i_sum_c): m4/sum.m4 $(I_M4_DEPS1)
$(i_matmul_c): m4/matmul.m4 m4/matmul_internal.m4 $(I_M4_DEPS)
$(M4) -Dfile=$@ -I$(srcdir)/m4 matmul.m4 > $@
+$(i_matmulavx128_c): m4/matmulavx128.m4 m4/matmul_internal.m4 $(I_M4_DEPS)
+ $(M4) -Dfile=$@ -I$(srcdir)/m4 matmulavx128.m4 > $@
+
$(i_matmull_c): m4/matmull.m4 $(I_M4_DEPS)
$(M4) -Dfile=$@ -I$(srcdir)/m4 matmull.m4 > $@
Index: Makefile.in
===================================================================
--- Makefile.in (Revision 247753)
+++ Makefile.in (Arbeitskopie)
@@ -289,15 +289,20 @@ am__objects_32 = unpack_i1.lo unpack_i2.lo unpack_
unpack_i16.lo unpack_r4.lo unpack_r8.lo unpack_r10.lo \
unpack_r16.lo unpack_c4.lo unpack_c8.lo unpack_c10.lo \
unpack_c16.lo
-am__objects_33 = spread_i1.lo spread_i2.lo spread_i4.lo spread_i8.lo \
+am__objects_33 = matmulavx128_i1.lo matmulavx128_i2.lo \
+ matmulavx128_i4.lo matmulavx128_i8.lo matmulavx128_i16.lo \
+ matmulavx128_r4.lo matmulavx128_r8.lo matmulavx128_r10.lo \
+ matmulavx128_r16.lo matmulavx128_c4.lo matmulavx128_c8.lo \
+ matmulavx128_c10.lo matmulavx128_c16.lo
+am__objects_34 = spread_i1.lo spread_i2.lo spread_i4.lo spread_i8.lo \
spread_i16.lo spread_r4.lo spread_r8.lo spread_r10.lo \
spread_r16.lo spread_c4.lo spread_c8.lo spread_c10.lo \
spread_c16.lo
-am__objects_34 = cshift0_i1.lo cshift0_i2.lo cshift0_i4.lo \
+am__objects_35 = cshift0_i1.lo cshift0_i2.lo cshift0_i4.lo \
cshift0_i8.lo cshift0_i16.lo cshift0_r4.lo cshift0_r8.lo \
cshift0_r10.lo cshift0_r16.lo cshift0_c4.lo cshift0_c8.lo \
cshift0_c10.lo cshift0_c16.lo
-am__objects_35 = $(am__objects_4) $(am__objects_5) $(am__objects_6) \
+am__objects_36 = $(am__objects_4) $(am__objects_5) $(am__objects_6) \
$(am__objects_7) $(am__objects_8) $(am__objects_9) \
$(am__objects_10) $(am__objects_11) $(am__objects_12) \
$(am__objects_13) $(am__objects_14) $(am__objects_15) \
@@ -307,14 +312,14 @@ am__objects_32 = unpack_i1.lo unpack_i2.lo unpack_
$(am__objects_25) $(am__objects_26) $(am__objects_27) \
$(am__objects_28) $(am__objects_29) $(am__objects_30) \
$(am__objects_31) $(am__objects_32) $(am__objects_33) \
- $(am__objects_34)
-@LIBGFOR_MINIMAL_FALSE@am__objects_36 = close.lo file_pos.lo format.lo \
+ $(am__objects_34) $(am__objects_35)
+@LIBGFOR_MINIMAL_FALSE@am__objects_37 = close.lo file_pos.lo format.lo \
@LIBGFOR_MINIMAL_FALSE@ inquire.lo intrinsics.lo list_read.lo \
@LIBGFOR_MINIMAL_FALSE@ lock.lo open.lo read.lo transfer.lo \
@LIBGFOR_MINIMAL_FALSE@ transfer128.lo unit.lo unix.lo write.lo \
@LIBGFOR_MINIMAL_FALSE@ fbuf.lo
-am__objects_37 = size_from_kind.lo $(am__objects_36)
-@LIBGFOR_MINIMAL_FALSE@am__objects_38 = access.lo c99_functions.lo \
+am__objects_38 = size_from_kind.lo $(am__objects_37)
+@LIBGFOR_MINIMAL_FALSE@am__objects_39 = access.lo c99_functions.lo \
@LIBGFOR_MINIMAL_FALSE@ chdir.lo chmod.lo clock.lo cpu_time.lo \
@LIBGFOR_MINIMAL_FALSE@ ctime.lo date_and_time.lo dtime.lo \
@LIBGFOR_MINIMAL_FALSE@ env.lo etime.lo execute_command_line.lo \
@@ -324,8 +329,8 @@ am__objects_32 = unpack_i1.lo unpack_i2.lo unpack_
@LIBGFOR_MINIMAL_FALSE@ rename.lo stat.lo symlnk.lo \
@LIBGFOR_MINIMAL_FALSE@ system_clock.lo time.lo umask.lo \
@LIBGFOR_MINIMAL_FALSE@ unlink.lo
-@IEEE_SUPPORT_TRUE@am__objects_39 = ieee_helper.lo
-am__objects_40 = associated.lo abort.lo args.lo cshift0.lo eoshift0.lo \
+@IEEE_SUPPORT_TRUE@am__objects_40 = ieee_helper.lo
+am__objects_41 = associated.lo abort.lo args.lo cshift0.lo eoshift0.lo \
eoshift2.lo erfc_scaled.lo extends_type_of.lo fnum.lo \
ierrno.lo ishftc.lo mvbits.lo move_alloc.lo pack_generic.lo \
selected_char_kind.lo size.lo spread_generic.lo \
@@ -332,11 +337,11 @@ am__objects_32 = unpack_i1.lo unpack_i2.lo unpack_
string_intrinsics.lo rand.lo random.lo reshape_generic.lo \
reshape_packed.lo selected_int_kind.lo selected_real_kind.lo \
unpack_generic.lo in_pack_generic.lo in_unpack_generic.lo \
- $(am__objects_38) $(am__objects_39)
-@IEEE_SUPPORT_TRUE@am__objects_41 = ieee_arithmetic.lo \
+ $(am__objects_39) $(am__objects_40)
+@IEEE_SUPPORT_TRUE@am__objects_42 = ieee_arithmetic.lo \
@IEEE_SUPPORT_TRUE@ ieee_exceptions.lo ieee_features.lo
-am__objects_42 =
-am__objects_43 = _abs_c4.lo _abs_c8.lo _abs_c10.lo _abs_c16.lo \
+am__objects_43 =
+am__objects_44 = _abs_c4.lo _abs_c8.lo _abs_c10.lo _abs_c16.lo \
_abs_i4.lo _abs_i8.lo _abs_i16.lo _abs_r4.lo _abs_r8.lo \
_abs_r10.lo _abs_r16.lo _aimag_c4.lo _aimag_c8.lo \
_aimag_c10.lo _aimag_c16.lo _exp_r4.lo _exp_r8.lo _exp_r10.lo \
@@ -360,19 +365,19 @@ am__objects_32 = unpack_i1.lo unpack_i2.lo unpack_
_conjg_c4.lo _conjg_c8.lo _conjg_c10.lo _conjg_c16.lo \
_aint_r4.lo _aint_r8.lo _aint_r10.lo _aint_r16.lo _anint_r4.lo \
_anint_r8.lo _anint_r10.lo _anint_r16.lo
-am__objects_44 = _sign_i4.lo _sign_i8.lo _sign_i16.lo _sign_r4.lo \
+am__objects_45 = _sign_i4.lo _sign_i8.lo _sign_i16.lo _sign_r4.lo \
_sign_r8.lo _sign_r10.lo _sign_r16.lo _dim_i4.lo _dim_i8.lo \
_dim_i16.lo _dim_r4.lo _dim_r8.lo _dim_r10.lo _dim_r16.lo \
_atan2_r4.lo _atan2_r8.lo _atan2_r10.lo _atan2_r16.lo \
_mod_i4.lo _mod_i8.lo _mod_i16.lo _mod_r4.lo _mod_r8.lo \
_mod_r10.lo _mod_r16.lo
-am__objects_45 = misc_specifics.lo
-am__objects_46 = $(am__objects_43) $(am__objects_44) $(am__objects_45) \
+am__objects_46 = misc_specifics.lo
+am__objects_47 = $(am__objects_44) $(am__objects_45) $(am__objects_46) \
dprod_r8.lo f2c_specifics.lo
-am__objects_47 = $(am__objects_3) $(am__objects_35) $(am__objects_37) \
- $(am__objects_40) $(am__objects_41) $(am__objects_42) \
- $(am__objects_46)
-@onestep_FALSE@am_libgfortran_la_OBJECTS = $(am__objects_47)
+am__objects_48 = $(am__objects_3) $(am__objects_36) $(am__objects_38) \
+ $(am__objects_41) $(am__objects_42) $(am__objects_43) \
+ $(am__objects_47)
+@onestep_FALSE@am_libgfortran_la_OBJECTS = $(am__objects_48)
@onestep_TRUE@am_libgfortran_la_OBJECTS = libgfortran_c.lo
libgfortran_la_OBJECTS = $(am_libgfortran_la_OBJECTS)
DEFAULT_INCLUDES = -I.@am__isrc@
@@ -879,6 +884,21 @@ $(srcdir)/generated/matmul_c8.c \
$(srcdir)/generated/matmul_c10.c \
$(srcdir)/generated/matmul_c16.c
+i_matmulavx128_c = \
+$(srcdir)/generated/matmulavx128_i1.c \
+$(srcdir)/generated/matmulavx128_i2.c \
+$(srcdir)/generated/matmulavx128_i4.c \
+$(srcdir)/generated/matmulavx128_i8.c \
+$(srcdir)/generated/matmulavx128_i16.c \
+$(srcdir)/generated/matmulavx128_r4.c \
+$(srcdir)/generated/matmulavx128_r8.c \
+$(srcdir)/generated/matmulavx128_r10.c \
+$(srcdir)/generated/matmulavx128_r16.c \
+$(srcdir)/generated/matmulavx128_c4.c \
+$(srcdir)/generated/matmulavx128_c8.c \
+$(srcdir)/generated/matmulavx128_c10.c \
+$(srcdir)/generated/matmulavx128_c16.c
+
i_matmull_c = \
$(srcdir)/generated/matmul_l4.c \
$(srcdir)/generated/matmul_l8.c \
@@ -1059,7 +1079,7 @@ gfor_built_src = $(i_all_c) $(i_any_c) $(i_count_c
$(i_iparity_c) $(i_norm2_c) $(i_parity_c) \
$(i_matmul_c) $(i_matmull_c) $(i_shape_c) $(i_eoshift1_c) \
$(i_eoshift3_c) $(i_cshift1_c) $(i_reshape_c) $(in_pack_c) $(in_unpack_c) \
- $(i_pow_c) $(i_pack_c) $(i_unpack_c) \
+ $(i_pow_c) $(i_pack_c) $(i_unpack_c) $(i_matmulavx128_c) \
$(i_spread_c) selected_int_kind.inc selected_real_kind.inc kinds.h \
$(i_cshift0_c) kinds.inc c99_protos.inc fpu-target.h fpu-target.inc
@@ -1518,6 +1538,19 @@ distclean-compile:
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmul_r16.Plo@am__quote@
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmul_r4.Plo@am__quote@
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmul_r8.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_c10.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_c16.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_c4.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_c8.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_i1.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_i16.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_i2.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_i4.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_i8.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_r10.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_r16.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_r4.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/matmulavx128_r8.Plo@am__quote@
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/maxloc0_16_i1.Plo@am__quote@
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/maxloc0_16_i16.Plo@am__quote@
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/maxloc0_16_i2.Plo@am__quote@
@@ -4584,6 +4617,97 @@ unpack_c16.lo: $(srcdir)/generated/unpack_c16.c
@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o unpack_c16.lo `test -f '$(srcdir)/generated/unpack_c16.c' || echo '$(srcdir)/'`$(srcdir)/generated/unpack_c16.c
+matmulavx128_i1.lo: $(srcdir)/generated/matmulavx128_i1.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_i1.lo -MD -MP -MF $(DEPDIR)/matmulavx128_i1.Tpo -c -o matmulavx128_i1.lo `test -f '$(srcdir)/generated/matmulavx128_i1.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_i1.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_i1.Tpo $(DEPDIR)/matmulavx128_i1.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_i1.c' object='matmulavx128_i1.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_i1.lo `test -f '$(srcdir)/generated/matmulavx128_i1.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_i1.c
+
+matmulavx128_i2.lo: $(srcdir)/generated/matmulavx128_i2.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_i2.lo -MD -MP -MF $(DEPDIR)/matmulavx128_i2.Tpo -c -o matmulavx128_i2.lo `test -f '$(srcdir)/generated/matmulavx128_i2.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_i2.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_i2.Tpo $(DEPDIR)/matmulavx128_i2.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_i2.c' object='matmulavx128_i2.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_i2.lo `test -f '$(srcdir)/generated/matmulavx128_i2.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_i2.c
+
+matmulavx128_i4.lo: $(srcdir)/generated/matmulavx128_i4.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_i4.lo -MD -MP -MF $(DEPDIR)/matmulavx128_i4.Tpo -c -o matmulavx128_i4.lo `test -f '$(srcdir)/generated/matmulavx128_i4.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_i4.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_i4.Tpo $(DEPDIR)/matmulavx128_i4.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_i4.c' object='matmulavx128_i4.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_i4.lo `test -f '$(srcdir)/generated/matmulavx128_i4.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_i4.c
+
+matmulavx128_i8.lo: $(srcdir)/generated/matmulavx128_i8.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_i8.lo -MD -MP -MF $(DEPDIR)/matmulavx128_i8.Tpo -c -o matmulavx128_i8.lo `test -f '$(srcdir)/generated/matmulavx128_i8.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_i8.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_i8.Tpo $(DEPDIR)/matmulavx128_i8.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_i8.c' object='matmulavx128_i8.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_i8.lo `test -f '$(srcdir)/generated/matmulavx128_i8.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_i8.c
+
+matmulavx128_i16.lo: $(srcdir)/generated/matmulavx128_i16.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_i16.lo -MD -MP -MF $(DEPDIR)/matmulavx128_i16.Tpo -c -o matmulavx128_i16.lo `test -f '$(srcdir)/generated/matmulavx128_i16.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_i16.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_i16.Tpo $(DEPDIR)/matmulavx128_i16.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_i16.c' object='matmulavx128_i16.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_i16.lo `test -f '$(srcdir)/generated/matmulavx128_i16.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_i16.c
+
+matmulavx128_r4.lo: $(srcdir)/generated/matmulavx128_r4.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_r4.lo -MD -MP -MF $(DEPDIR)/matmulavx128_r4.Tpo -c -o matmulavx128_r4.lo `test -f '$(srcdir)/generated/matmulavx128_r4.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_r4.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_r4.Tpo $(DEPDIR)/matmulavx128_r4.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_r4.c' object='matmulavx128_r4.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_r4.lo `test -f '$(srcdir)/generated/matmulavx128_r4.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_r4.c
+
+matmulavx128_r8.lo: $(srcdir)/generated/matmulavx128_r8.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_r8.lo -MD -MP -MF $(DEPDIR)/matmulavx128_r8.Tpo -c -o matmulavx128_r8.lo `test -f '$(srcdir)/generated/matmulavx128_r8.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_r8.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_r8.Tpo $(DEPDIR)/matmulavx128_r8.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_r8.c' object='matmulavx128_r8.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_r8.lo `test -f '$(srcdir)/generated/matmulavx128_r8.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_r8.c
+
+matmulavx128_r10.lo: $(srcdir)/generated/matmulavx128_r10.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_r10.lo -MD -MP -MF $(DEPDIR)/matmulavx128_r10.Tpo -c -o matmulavx128_r10.lo `test -f '$(srcdir)/generated/matmulavx128_r10.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_r10.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_r10.Tpo $(DEPDIR)/matmulavx128_r10.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_r10.c' object='matmulavx128_r10.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_r10.lo `test -f '$(srcdir)/generated/matmulavx128_r10.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_r10.c
+
+matmulavx128_r16.lo: $(srcdir)/generated/matmulavx128_r16.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_r16.lo -MD -MP -MF $(DEPDIR)/matmulavx128_r16.Tpo -c -o matmulavx128_r16.lo `test -f '$(srcdir)/generated/matmulavx128_r16.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_r16.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_r16.Tpo $(DEPDIR)/matmulavx128_r16.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_r16.c' object='matmulavx128_r16.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_r16.lo `test -f '$(srcdir)/generated/matmulavx128_r16.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_r16.c
+
+matmulavx128_c4.lo: $(srcdir)/generated/matmulavx128_c4.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_c4.lo -MD -MP -MF $(DEPDIR)/matmulavx128_c4.Tpo -c -o matmulavx128_c4.lo `test -f '$(srcdir)/generated/matmulavx128_c4.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_c4.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_c4.Tpo $(DEPDIR)/matmulavx128_c4.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_c4.c' object='matmulavx128_c4.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_c4.lo `test -f '$(srcdir)/generated/matmulavx128_c4.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_c4.c
+
+matmulavx128_c8.lo: $(srcdir)/generated/matmulavx128_c8.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_c8.lo -MD -MP -MF $(DEPDIR)/matmulavx128_c8.Tpo -c -o matmulavx128_c8.lo `test -f '$(srcdir)/generated/matmulavx128_c8.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_c8.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_c8.Tpo $(DEPDIR)/matmulavx128_c8.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_c8.c' object='matmulavx128_c8.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_c8.lo `test -f '$(srcdir)/generated/matmulavx128_c8.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_c8.c
+
+matmulavx128_c10.lo: $(srcdir)/generated/matmulavx128_c10.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_c10.lo -MD -MP -MF $(DEPDIR)/matmulavx128_c10.Tpo -c -o matmulavx128_c10.lo `test -f '$(srcdir)/generated/matmulavx128_c10.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_c10.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_c10.Tpo $(DEPDIR)/matmulavx128_c10.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_c10.c' object='matmulavx128_c10.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_c10.lo `test -f '$(srcdir)/generated/matmulavx128_c10.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_c10.c
+
+matmulavx128_c16.lo: $(srcdir)/generated/matmulavx128_c16.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmulavx128_c16.lo -MD -MP -MF $(DEPDIR)/matmulavx128_c16.Tpo -c -o matmulavx128_c16.lo `test -f '$(srcdir)/generated/matmulavx128_c16.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_c16.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmulavx128_c16.Tpo $(DEPDIR)/matmulavx128_c16.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/matmulavx128_c16.c' object='matmulavx128_c16.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o matmulavx128_c16.lo `test -f '$(srcdir)/generated/matmulavx128_c16.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmulavx128_c16.c
+
spread_i1.lo: $(srcdir)/generated/spread_i1.c
@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT spread_i1.lo -MD -MP -MF $(DEPDIR)/spread_i1.Tpo -c -o spread_i1.lo `test -f '$(srcdir)/generated/spread_i1.c' || echo '$(srcdir)/'`$(srcdir)/generated/spread_i1.c
@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/spread_i1.Tpo $(DEPDIR)/spread_i1.Plo
@@ -5567,7 +5691,10 @@ uninstall-am: uninstall-cafexeclibLTLIBRARIES \
@LIBGFOR_USE_SYMVER_SUN_TRUE@@LIBGFOR_USE_SYMVER_TRUE@ > $@ || (rm -f $@ ; exit 1)
# Turn on vectorization and loop unrolling for matmul.
-$(patsubst %.c,%.lo,$(notdir $(i_matmul_c))): AM_CFLAGS += -ffast-math -ftree-vectorize -funroll-loops --param max-unroll-times=4
+$(patsubst %.c,%.lo,$(notdir $(i_matmul_c))): AM_CFLAGS += -ffast-math -ftree-vectorize -funroll-loops --param max-unroll-times=4
+
+# Turn on AVX128 for AMD-specific matmul, but only if the compiler understands -mprefer=avx128
+@HAVE_AVX128_TRUE@$(patsubst %.c,%.lo,$(notdir $(i_matmulavx128_c))): AM_CFLAGS += -ffast-math -ftree-vectorize -funroll-loops --param max-unroll-times=4 -mprefer-avx128
# Logical matmul doesn't vectorize.
$(patsubst %.c,%.lo,$(notdir $(i_matmull_c))): AM_CFLAGS += -funroll-loops
@@ -5667,6 +5794,9 @@ fpu-target.inc: fpu-target.h $(srcdir)/libgfortran
@MAINTAINER_MODE_TRUE@$(i_matmul_c): m4/matmul.m4 m4/matmul_internal.m4 $(I_M4_DEPS)
@MAINTAINER_MODE_TRUE@ $(M4) -Dfile=$@ -I$(srcdir)/m4 matmul.m4 > $@
+@MAINTAINER_MODE_TRUE@$(i_matmulavx128_c): m4/matmulavx128.m4 m4/matmul_internal.m4 $(I_M4_DEPS)
+@MAINTAINER_MODE_TRUE@ $(M4) -Dfile=$@ -I$(srcdir)/m4 matmulavx128.m4 > $@
+
@MAINTAINER_MODE_TRUE@$(i_matmull_c): m4/matmull.m4 $(I_M4_DEPS)
@MAINTAINER_MODE_TRUE@ $(M4) -Dfile=$@ -I$(srcdir)/m4 matmull.m4 > $@
Index: acinclude.m4
===================================================================
--- acinclude.m4 (Revision 247566)
+++ acinclude.m4 (Arbeitskopie)
@@ -452,3 +452,53 @@ AC_DEFUN([LIBGFOR_CHECK_AVX512F], [
[])
CFLAGS="$ac_save_CFLAGS"
])
+
+dnl Check for FMA3
+dnl
+AC_DEFUN([LIBGFOR_CHECK_FMA3], [
+ ac_save_CFLAGS="$CFLAGS"
+ CFLAGS="-O2 -mfma -mno-fma4"
+ AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
+ float
+ flt_mul_add (float a, float b, float c)
+ {
+ return __builtin_fmaf (a, b, c);
+ }]], [[]])],
+ AC_DEFINE(HAVE_FMA3, 1,
+ [Define if FMA3 instructions can be compiled.]),
+ [])
+ CFLAGS="$ac_save_CFLAGS"
+])
+
+dnl Check for FMA4
+dnl
+AC_DEFUN([LIBGFOR_CHECK_FMA4], [
+ ac_save_CFLAGS="$CFLAGS"
+ CFLAGS="-O2 -mfma4 -mno-fma"
+ AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
+ float
+ flt_mul_add (float a, float b, float c)
+ {
+ return __builtin_fmaf (a, b, c);
+ }]], [[]])],
+ AC_DEFINE(HAVE_FMA4, 1,
+ [Define if FMA4 instructions can be compiled.]),
+ [])
+ CFLAGS="$ac_save_CFLAGS"
+])
+
+dnl Check for -mprefer-avx128
+dnl This also defines an automake conditional.
+AC_DEFUN([LIBGFOR_CHECK_AVX128], [
+ ac_save_CFLAGS="$CFLAGS"
+ CFLAGS="-O2 -mavx -mprefer-avx128"
+ AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
+ void foo()
+ {
+ }]], [[]])],
+ AC_DEFINE(HAVE_AVX128, 1,
+ [Define if -mprefer-avx128 is supported.])
+ AM_CONDITIONAL([HAVE_AVX128],true),
+ [])
+ CFLAGS="$ac_save_CFLAGS"
+])
Index: config.h.in
===================================================================
--- config.h.in (Revision 247566)
+++ config.h.in (Arbeitskopie)
@@ -81,6 +81,9 @@
/* Define if AVX instructions can be compiled. */
#undef HAVE_AVX
+/* Define if -mprefer-avx128 is supported. */
+#undef HAVE_AVX128
+
/* Define if AVX2 instructions can be compiled. */
#undef HAVE_AVX2
@@ -375,6 +378,12 @@
/* Define to 1 if you have the `floorl' function. */
#undef HAVE_FLOORL
+/* Define if FMA3 instructions can be compiled. */
+#undef HAVE_FMA3
+
+/* Define if FMA4 instructions can be compiled. */
+#undef HAVE_FMA4
+
/* Define to 1 if you have the `fmod' function. */
#undef HAVE_FMOD
Index: configure
===================================================================
--- configure (Revision 247566)
+++ configure (Arbeitskopie)
@@ -606,6 +606,8 @@ am__EXEEXT_TRUE
LTLIBOBJS
LIBOBJS
get_gcc_base_ver
+HAVE_AVX128_FALSE
+HAVE_AVX128_TRUE
IEEE_FLAGS
IEEE_SUPPORT
IEEE_SUPPORT_FALSE
@@ -12421,7 +12423,7 @@ else
lt_dlunknown=0; lt_dlno_uscore=1; lt_dlneed_uscore=2
lt_status=$lt_dlunknown
cat > conftest.$ac_ext <<_LT_EOF
-#line 12424 "configure"
+#line 12426 "configure"
#include "confdefs.h"
#if HAVE_DLFCN_H
@@ -12527,7 +12529,7 @@ else
lt_dlunknown=0; lt_dlno_uscore=1; lt_dlneed_uscore=2
lt_status=$lt_dlunknown
cat > conftest.$ac_ext <<_LT_EOF
-#line 12530 "configure"
+#line 12532 "configure"
#include "confdefs.h"
#if HAVE_DLFCN_H
@@ -26363,6 +26365,99 @@ rm -f core conftest.err conftest.$ac_objext confte
CFLAGS="$ac_save_CFLAGS"
+# Check for FMA3 extensions
+
+ ac_save_CFLAGS="$CFLAGS"
+ CFLAGS="-O2 -mfma -mno-fma4"
+ cat confdefs.h - <<_ACEOF >conftest.$ac_ext
+/* end confdefs.h. */
+
+ float
+ flt_mul_add (float a, float b, float c)
+ {
+ return __builtin_fmaf (a, b, c);
+ }
+int
+main ()
+{
+
+ ;
+ return 0;
+}
+_ACEOF
+if ac_fn_c_try_compile "$LINENO"; then :
+
+$as_echo "#define HAVE_FMA3 1" >>confdefs.h
+
+fi
+rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext
+ CFLAGS="$ac_save_CFLAGS"
+
+
+# Check for FMA4 extensions
+
+ ac_save_CFLAGS="$CFLAGS"
+ CFLAGS="-O2 -mfma4 -mno-fma"
+ cat confdefs.h - <<_ACEOF >conftest.$ac_ext
+/* end confdefs.h. */
+
+ float
+ flt_mul_add (float a, float b, float c)
+ {
+ return __builtin_fmaf (a, b, c);
+ }
+int
+main ()
+{
+
+ ;
+ return 0;
+}
+_ACEOF
+if ac_fn_c_try_compile "$LINENO"; then :
+
+$as_echo "#define HAVE_FMA4 1" >>confdefs.h
+
+fi
+rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext
+ CFLAGS="$ac_save_CFLAGS"
+
+
+# Check if AVX128 works
+
+ ac_save_CFLAGS="$CFLAGS"
+ CFLAGS="-O2 -mavx -mprefer-avx128"
+ cat confdefs.h - <<_ACEOF >conftest.$ac_ext
+/* end confdefs.h. */
+
+ void foo()
+ {
+ }
+int
+main ()
+{
+
+ ;
+ return 0;
+}
+_ACEOF
+if ac_fn_c_try_compile "$LINENO"; then :
+
+$as_echo "#define HAVE_AVX128 1" >>confdefs.h
+
+ if true; then
+ HAVE_AVX128_TRUE=
+ HAVE_AVX128_FALSE='#'
+else
+ HAVE_AVX128_TRUE='#'
+ HAVE_AVX128_FALSE=
+fi
+
+fi
+rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext
+ CFLAGS="$ac_save_CFLAGS"
+
+
# Determine what GCC version number to use in filesystem paths.
get_gcc_base_ver="cat"
@@ -26615,6 +26710,10 @@ if test -z "${IEEE_SUPPORT_TRUE}" && test -z "${IE
as_fn_error "conditional \"IEEE_SUPPORT\" was never defined.
Usually this means the macro was only invoked conditionally." "$LINENO" 5
fi
+if test -z "${HAVE_AVX128_TRUE}" && test -z "${HAVE_AVX128_FALSE}"; then
+ as_fn_error "conditional \"HAVE_AVX128\" was never defined.
+Usually this means the macro was only invoked conditionally." "$LINENO" 5
+fi
: ${CONFIG_STATUS=./config.status}
ac_write_fail=0
Index: configure.ac
===================================================================
--- configure.ac (Revision 247566)
+++ configure.ac (Arbeitskopie)
@@ -624,6 +624,15 @@ LIBGFOR_CHECK_AVX2
# Check wether we support AVX512f extensions
LIBGFOR_CHECK_AVX512F
+# Check for FMA3 extensions
+LIBGFOR_CHECK_FMA3
+
+# Check for FMA4 extensions
+LIBGFOR_CHECK_FMA4
+
+# Check if AVX128 works
+LIBGFOR_CHECK_AVX128
+
# Determine what GCC version number to use in filesystem paths.
GCC_BASE_VER
Index: generated/matmul_c10.c
===================================================================
--- generated/matmul_c10.c (Revision 248074)
+++ generated/matmul_c10.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_c10_avx512f (gfc_array_c10 * const restrict
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_c10_avx128_fma3 (gfc_array_c10 * const restrict retarray,
+ gfc_array_c10 * const restrict a, gfc_array_c10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_c10_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_c10_avx128_fma4 (gfc_array_c10 * const restrict retarray,
+ gfc_array_c10 * const restrict a, gfc_array_c10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_c10_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_c10_vanilla (gfc_array_c10 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_c10 (gfc_array_c10 * const restrict re
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_c10_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_c10_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_c16.c
===================================================================
--- generated/matmul_c16.c (Revision 248074)
+++ generated/matmul_c16.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_c16_avx512f (gfc_array_c16 * const restrict
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_c16_avx128_fma3 (gfc_array_c16 * const restrict retarray,
+ gfc_array_c16 * const restrict a, gfc_array_c16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_c16_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_c16_avx128_fma4 (gfc_array_c16 * const restrict retarray,
+ gfc_array_c16 * const restrict a, gfc_array_c16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_c16_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_c16_vanilla (gfc_array_c16 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_c16 (gfc_array_c16 * const restrict re
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_c16_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_c16_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_c4.c
===================================================================
--- generated/matmul_c4.c (Revision 248074)
+++ generated/matmul_c4.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_c4_avx512f (gfc_array_c4 * const restrict r
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_c4_avx128_fma3 (gfc_array_c4 * const restrict retarray,
+ gfc_array_c4 * const restrict a, gfc_array_c4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_c4_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_c4_avx128_fma4 (gfc_array_c4 * const restrict retarray,
+ gfc_array_c4 * const restrict a, gfc_array_c4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_c4_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_c4_vanilla (gfc_array_c4 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_c4 (gfc_array_c4 * const restrict reta
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_c4_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_c4_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_c8.c
===================================================================
--- generated/matmul_c8.c (Revision 248074)
+++ generated/matmul_c8.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_c8_avx512f (gfc_array_c8 * const restrict r
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_c8_avx128_fma3 (gfc_array_c8 * const restrict retarray,
+ gfc_array_c8 * const restrict a, gfc_array_c8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_c8_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_c8_avx128_fma4 (gfc_array_c8 * const restrict retarray,
+ gfc_array_c8 * const restrict a, gfc_array_c8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_c8_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_c8_vanilla (gfc_array_c8 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_c8 (gfc_array_c8 * const restrict reta
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_c8_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_c8_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_i1.c
===================================================================
--- generated/matmul_i1.c (Revision 248074)
+++ generated/matmul_i1.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_i1_avx512f (gfc_array_i1 * const restrict r
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_i1_avx128_fma3 (gfc_array_i1 * const restrict retarray,
+ gfc_array_i1 * const restrict a, gfc_array_i1 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_i1_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_i1_avx128_fma4 (gfc_array_i1 * const restrict retarray,
+ gfc_array_i1 * const restrict a, gfc_array_i1 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_i1_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_i1_vanilla (gfc_array_i1 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_i1 (gfc_array_i1 * const restrict reta
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_i1_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_i1_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_i16.c
===================================================================
--- generated/matmul_i16.c (Revision 248074)
+++ generated/matmul_i16.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_i16_avx512f (gfc_array_i16 * const restrict
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_i16_avx128_fma3 (gfc_array_i16 * const restrict retarray,
+ gfc_array_i16 * const restrict a, gfc_array_i16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_i16_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_i16_avx128_fma4 (gfc_array_i16 * const restrict retarray,
+ gfc_array_i16 * const restrict a, gfc_array_i16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_i16_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_i16_vanilla (gfc_array_i16 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_i16 (gfc_array_i16 * const restrict re
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_i16_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_i16_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_i2.c
===================================================================
--- generated/matmul_i2.c (Revision 248074)
+++ generated/matmul_i2.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_i2_avx512f (gfc_array_i2 * const restrict r
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_i2_avx128_fma3 (gfc_array_i2 * const restrict retarray,
+ gfc_array_i2 * const restrict a, gfc_array_i2 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_i2_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_i2_avx128_fma4 (gfc_array_i2 * const restrict retarray,
+ gfc_array_i2 * const restrict a, gfc_array_i2 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_i2_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_i2_vanilla (gfc_array_i2 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_i2 (gfc_array_i2 * const restrict reta
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_i2_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_i2_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_i4.c
===================================================================
--- generated/matmul_i4.c (Revision 248074)
+++ generated/matmul_i4.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_i4_avx512f (gfc_array_i4 * const restrict r
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_i4_avx128_fma3 (gfc_array_i4 * const restrict retarray,
+ gfc_array_i4 * const restrict a, gfc_array_i4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_i4_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_i4_avx128_fma4 (gfc_array_i4 * const restrict retarray,
+ gfc_array_i4 * const restrict a, gfc_array_i4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_i4_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_i4_vanilla (gfc_array_i4 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_i4 (gfc_array_i4 * const restrict reta
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_i4_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_i4_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_i8.c
===================================================================
--- generated/matmul_i8.c (Revision 248074)
+++ generated/matmul_i8.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_i8_avx512f (gfc_array_i8 * const restrict r
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_i8_avx128_fma3 (gfc_array_i8 * const restrict retarray,
+ gfc_array_i8 * const restrict a, gfc_array_i8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_i8_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_i8_avx128_fma4 (gfc_array_i8 * const restrict retarray,
+ gfc_array_i8 * const restrict a, gfc_array_i8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_i8_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_i8_vanilla (gfc_array_i8 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_i8 (gfc_array_i8 * const restrict reta
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_i8_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_i8_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_r10.c
===================================================================
--- generated/matmul_r10.c (Revision 248074)
+++ generated/matmul_r10.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_r10_avx512f (gfc_array_r10 * const restrict
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_r10_avx128_fma3 (gfc_array_r10 * const restrict retarray,
+ gfc_array_r10 * const restrict a, gfc_array_r10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_r10_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_r10_avx128_fma4 (gfc_array_r10 * const restrict retarray,
+ gfc_array_r10 * const restrict a, gfc_array_r10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_r10_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_r10_vanilla (gfc_array_r10 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_r10 (gfc_array_r10 * const restrict re
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_r10_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_r10_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_r16.c
===================================================================
--- generated/matmul_r16.c (Revision 248074)
+++ generated/matmul_r16.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_r16_avx512f (gfc_array_r16 * const restrict
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_r16_avx128_fma3 (gfc_array_r16 * const restrict retarray,
+ gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_r16_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_r16_avx128_fma4 (gfc_array_r16 * const restrict retarray,
+ gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_r16_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_r16_vanilla (gfc_array_r16 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_r16 (gfc_array_r16 * const restrict re
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_r16_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_r16_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_r4.c
===================================================================
--- generated/matmul_r4.c (Revision 248074)
+++ generated/matmul_r4.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_r4_avx512f (gfc_array_r4 * const restrict r
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_r4_avx128_fma3 (gfc_array_r4 * const restrict retarray,
+ gfc_array_r4 * const restrict a, gfc_array_r4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_r4_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_r4_avx128_fma4 (gfc_array_r4 * const restrict retarray,
+ gfc_array_r4 * const restrict a, gfc_array_r4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_r4_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_r4_vanilla (gfc_array_r4 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_r4 (gfc_array_r4 * const restrict reta
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_r4_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_r4_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmul_r8.c
===================================================================
--- generated/matmul_r8.c (Revision 248074)
+++ generated/matmul_r8.c (Arbeitskopie)
@@ -1734,6 +1734,24 @@ matmul_r8_avx512f (gfc_array_r8 * const restrict r
#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_r8_avx128_fma3 (gfc_array_r8 * const restrict retarray,
+ gfc_array_r8 * const restrict a, gfc_array_r8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_r8_avx128_fma3);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_r8_avx128_fma4 (gfc_array_r8 * const restrict retarray,
+ gfc_array_r8 * const restrict a, gfc_array_r8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_r8_avx128_fma4);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
static void
matmul_r8_vanilla (gfc_array_r8 * const restrict retarray,
@@ -2332,6 +2350,26 @@ void matmul_r8 (gfc_array_r8 * const restrict reta
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_r8_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_r8_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: generated/matmulavx128_c10.c
===================================================================
--- generated/matmulavx128_c10.c (nicht existent)
+++ generated/matmulavx128_c10.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_COMPLEX_10)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_COMPLEX_10 *, const GFC_COMPLEX_10 *,
+ const int *, const GFC_COMPLEX_10 *, const int *,
+ const GFC_COMPLEX_10 *, GFC_COMPLEX_10 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_c10_avx128_fma3 (gfc_array_c10 * const restrict retarray,
+ gfc_array_c10 * const restrict a, gfc_array_c10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_c10_avx128_fma3);
+void
+matmul_c10_avx128_fma3 (gfc_array_c10 * const restrict retarray,
+ gfc_array_c10 * const restrict a, gfc_array_c10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_COMPLEX_10 * restrict abase;
+ const GFC_COMPLEX_10 * restrict bbase;
+ GFC_COMPLEX_10 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_10));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_COMPLEX_10 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_COMPLEX_10 *a, *b;
+ GFC_COMPLEX_10 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_COMPLEX_10 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_COMPLEX_10 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_10));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_COMPLEX_10)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_COMPLEX_10 *restrict abase_x;
+ const GFC_COMPLEX_10 *restrict bbase_y;
+ GFC_COMPLEX_10 *restrict dest_y;
+ GFC_COMPLEX_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_10 *restrict bbase_y;
+ GFC_COMPLEX_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_COMPLEX_10)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_COMPLEX_10 *restrict bbase_y;
+ GFC_COMPLEX_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_10 *restrict abase_x;
+ const GFC_COMPLEX_10 *restrict bbase_y;
+ GFC_COMPLEX_10 *restrict dest_y;
+ GFC_COMPLEX_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_c10_avx128_fma4 (gfc_array_c10 * const restrict retarray,
+ gfc_array_c10 * const restrict a, gfc_array_c10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_c10_avx128_fma4);
+void
+matmul_c10_avx128_fma4 (gfc_array_c10 * const restrict retarray,
+ gfc_array_c10 * const restrict a, gfc_array_c10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_COMPLEX_10 * restrict abase;
+ const GFC_COMPLEX_10 * restrict bbase;
+ GFC_COMPLEX_10 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_10));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_COMPLEX_10 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_COMPLEX_10 *a, *b;
+ GFC_COMPLEX_10 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_COMPLEX_10 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_COMPLEX_10 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_10));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_COMPLEX_10)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_COMPLEX_10 *restrict abase_x;
+ const GFC_COMPLEX_10 *restrict bbase_y;
+ GFC_COMPLEX_10 *restrict dest_y;
+ GFC_COMPLEX_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_10 *restrict bbase_y;
+ GFC_COMPLEX_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_COMPLEX_10)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_COMPLEX_10 *restrict bbase_y;
+ GFC_COMPLEX_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_10 *restrict abase_x;
+ const GFC_COMPLEX_10 *restrict bbase_y;
+ GFC_COMPLEX_10 *restrict dest_y;
+ GFC_COMPLEX_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_c16.c
===================================================================
--- generated/matmulavx128_c16.c (nicht existent)
+++ generated/matmulavx128_c16.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_COMPLEX_16)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_COMPLEX_16 *, const GFC_COMPLEX_16 *,
+ const int *, const GFC_COMPLEX_16 *, const int *,
+ const GFC_COMPLEX_16 *, GFC_COMPLEX_16 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_c16_avx128_fma3 (gfc_array_c16 * const restrict retarray,
+ gfc_array_c16 * const restrict a, gfc_array_c16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_c16_avx128_fma3);
+void
+matmul_c16_avx128_fma3 (gfc_array_c16 * const restrict retarray,
+ gfc_array_c16 * const restrict a, gfc_array_c16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_COMPLEX_16 * restrict abase;
+ const GFC_COMPLEX_16 * restrict bbase;
+ GFC_COMPLEX_16 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_16));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_COMPLEX_16 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_COMPLEX_16 *a, *b;
+ GFC_COMPLEX_16 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_COMPLEX_16 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_COMPLEX_16 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_16));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_COMPLEX_16)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_COMPLEX_16 *restrict abase_x;
+ const GFC_COMPLEX_16 *restrict bbase_y;
+ GFC_COMPLEX_16 *restrict dest_y;
+ GFC_COMPLEX_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_16 *restrict bbase_y;
+ GFC_COMPLEX_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_COMPLEX_16)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_COMPLEX_16 *restrict bbase_y;
+ GFC_COMPLEX_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_16 *restrict abase_x;
+ const GFC_COMPLEX_16 *restrict bbase_y;
+ GFC_COMPLEX_16 *restrict dest_y;
+ GFC_COMPLEX_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_c16_avx128_fma4 (gfc_array_c16 * const restrict retarray,
+ gfc_array_c16 * const restrict a, gfc_array_c16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_c16_avx128_fma4);
+void
+matmul_c16_avx128_fma4 (gfc_array_c16 * const restrict retarray,
+ gfc_array_c16 * const restrict a, gfc_array_c16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_COMPLEX_16 * restrict abase;
+ const GFC_COMPLEX_16 * restrict bbase;
+ GFC_COMPLEX_16 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_16));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_COMPLEX_16 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_COMPLEX_16 *a, *b;
+ GFC_COMPLEX_16 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_COMPLEX_16 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_COMPLEX_16 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_16));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_COMPLEX_16)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_COMPLEX_16 *restrict abase_x;
+ const GFC_COMPLEX_16 *restrict bbase_y;
+ GFC_COMPLEX_16 *restrict dest_y;
+ GFC_COMPLEX_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_16 *restrict bbase_y;
+ GFC_COMPLEX_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_COMPLEX_16)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_COMPLEX_16 *restrict bbase_y;
+ GFC_COMPLEX_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_16 *restrict abase_x;
+ const GFC_COMPLEX_16 *restrict bbase_y;
+ GFC_COMPLEX_16 *restrict dest_y;
+ GFC_COMPLEX_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_c4.c
===================================================================
--- generated/matmulavx128_c4.c (nicht existent)
+++ generated/matmulavx128_c4.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_COMPLEX_4)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_COMPLEX_4 *, const GFC_COMPLEX_4 *,
+ const int *, const GFC_COMPLEX_4 *, const int *,
+ const GFC_COMPLEX_4 *, GFC_COMPLEX_4 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_c4_avx128_fma3 (gfc_array_c4 * const restrict retarray,
+ gfc_array_c4 * const restrict a, gfc_array_c4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_c4_avx128_fma3);
+void
+matmul_c4_avx128_fma3 (gfc_array_c4 * const restrict retarray,
+ gfc_array_c4 * const restrict a, gfc_array_c4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_COMPLEX_4 * restrict abase;
+ const GFC_COMPLEX_4 * restrict bbase;
+ GFC_COMPLEX_4 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_4));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_COMPLEX_4 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_COMPLEX_4 *a, *b;
+ GFC_COMPLEX_4 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_COMPLEX_4 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_COMPLEX_4 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_4));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_COMPLEX_4)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_COMPLEX_4 *restrict abase_x;
+ const GFC_COMPLEX_4 *restrict bbase_y;
+ GFC_COMPLEX_4 *restrict dest_y;
+ GFC_COMPLEX_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_4 *restrict bbase_y;
+ GFC_COMPLEX_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_COMPLEX_4)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_COMPLEX_4 *restrict bbase_y;
+ GFC_COMPLEX_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_4 *restrict abase_x;
+ const GFC_COMPLEX_4 *restrict bbase_y;
+ GFC_COMPLEX_4 *restrict dest_y;
+ GFC_COMPLEX_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_c4_avx128_fma4 (gfc_array_c4 * const restrict retarray,
+ gfc_array_c4 * const restrict a, gfc_array_c4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_c4_avx128_fma4);
+void
+matmul_c4_avx128_fma4 (gfc_array_c4 * const restrict retarray,
+ gfc_array_c4 * const restrict a, gfc_array_c4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_COMPLEX_4 * restrict abase;
+ const GFC_COMPLEX_4 * restrict bbase;
+ GFC_COMPLEX_4 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_4));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_COMPLEX_4 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_COMPLEX_4 *a, *b;
+ GFC_COMPLEX_4 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_COMPLEX_4 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_COMPLEX_4 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_4));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_COMPLEX_4)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_COMPLEX_4 *restrict abase_x;
+ const GFC_COMPLEX_4 *restrict bbase_y;
+ GFC_COMPLEX_4 *restrict dest_y;
+ GFC_COMPLEX_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_4 *restrict bbase_y;
+ GFC_COMPLEX_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_COMPLEX_4)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_COMPLEX_4 *restrict bbase_y;
+ GFC_COMPLEX_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_4 *restrict abase_x;
+ const GFC_COMPLEX_4 *restrict bbase_y;
+ GFC_COMPLEX_4 *restrict dest_y;
+ GFC_COMPLEX_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_c8.c
===================================================================
--- generated/matmulavx128_c8.c (nicht existent)
+++ generated/matmulavx128_c8.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_COMPLEX_8)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_COMPLEX_8 *, const GFC_COMPLEX_8 *,
+ const int *, const GFC_COMPLEX_8 *, const int *,
+ const GFC_COMPLEX_8 *, GFC_COMPLEX_8 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_c8_avx128_fma3 (gfc_array_c8 * const restrict retarray,
+ gfc_array_c8 * const restrict a, gfc_array_c8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_c8_avx128_fma3);
+void
+matmul_c8_avx128_fma3 (gfc_array_c8 * const restrict retarray,
+ gfc_array_c8 * const restrict a, gfc_array_c8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_COMPLEX_8 * restrict abase;
+ const GFC_COMPLEX_8 * restrict bbase;
+ GFC_COMPLEX_8 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_8));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_COMPLEX_8 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_COMPLEX_8 *a, *b;
+ GFC_COMPLEX_8 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_COMPLEX_8 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_COMPLEX_8 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_8));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_COMPLEX_8)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_COMPLEX_8 *restrict abase_x;
+ const GFC_COMPLEX_8 *restrict bbase_y;
+ GFC_COMPLEX_8 *restrict dest_y;
+ GFC_COMPLEX_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_8 *restrict bbase_y;
+ GFC_COMPLEX_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_COMPLEX_8)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_COMPLEX_8 *restrict bbase_y;
+ GFC_COMPLEX_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_8 *restrict abase_x;
+ const GFC_COMPLEX_8 *restrict bbase_y;
+ GFC_COMPLEX_8 *restrict dest_y;
+ GFC_COMPLEX_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_c8_avx128_fma4 (gfc_array_c8 * const restrict retarray,
+ gfc_array_c8 * const restrict a, gfc_array_c8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_c8_avx128_fma4);
+void
+matmul_c8_avx128_fma4 (gfc_array_c8 * const restrict retarray,
+ gfc_array_c8 * const restrict a, gfc_array_c8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_COMPLEX_8 * restrict abase;
+ const GFC_COMPLEX_8 * restrict bbase;
+ GFC_COMPLEX_8 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_8));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_COMPLEX_8 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_COMPLEX_8 *a, *b;
+ GFC_COMPLEX_8 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_COMPLEX_8 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_COMPLEX_8 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_8));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_COMPLEX_8)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_COMPLEX_8 *restrict abase_x;
+ const GFC_COMPLEX_8 *restrict bbase_y;
+ GFC_COMPLEX_8 *restrict dest_y;
+ GFC_COMPLEX_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_8 *restrict bbase_y;
+ GFC_COMPLEX_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_COMPLEX_8)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_COMPLEX_8 *restrict bbase_y;
+ GFC_COMPLEX_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_COMPLEX_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_COMPLEX_8 *restrict abase_x;
+ const GFC_COMPLEX_8 *restrict bbase_y;
+ GFC_COMPLEX_8 *restrict dest_y;
+ GFC_COMPLEX_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_COMPLEX_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_i1.c
===================================================================
--- generated/matmulavx128_i1.c (nicht existent)
+++ generated/matmulavx128_i1.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_INTEGER_1)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_INTEGER_1 *, const GFC_INTEGER_1 *,
+ const int *, const GFC_INTEGER_1 *, const int *,
+ const GFC_INTEGER_1 *, GFC_INTEGER_1 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_i1_avx128_fma3 (gfc_array_i1 * const restrict retarray,
+ gfc_array_i1 * const restrict a, gfc_array_i1 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_i1_avx128_fma3);
+void
+matmul_i1_avx128_fma3 (gfc_array_i1 * const restrict retarray,
+ gfc_array_i1 * const restrict a, gfc_array_i1 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_INTEGER_1 * restrict abase;
+ const GFC_INTEGER_1 * restrict bbase;
+ GFC_INTEGER_1 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_1));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_INTEGER_1 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_INTEGER_1 *a, *b;
+ GFC_INTEGER_1 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_INTEGER_1 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_INTEGER_1 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_INTEGER_1));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_INTEGER_1)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_INTEGER_1 *restrict abase_x;
+ const GFC_INTEGER_1 *restrict bbase_y;
+ GFC_INTEGER_1 *restrict dest_y;
+ GFC_INTEGER_1 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_1) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_1 *restrict bbase_y;
+ GFC_INTEGER_1 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_1) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_INTEGER_1)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_INTEGER_1 *restrict bbase_y;
+ GFC_INTEGER_1 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_1) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_1 *restrict abase_x;
+ const GFC_INTEGER_1 *restrict bbase_y;
+ GFC_INTEGER_1 *restrict dest_y;
+ GFC_INTEGER_1 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_1) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_i1_avx128_fma4 (gfc_array_i1 * const restrict retarray,
+ gfc_array_i1 * const restrict a, gfc_array_i1 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_i1_avx128_fma4);
+void
+matmul_i1_avx128_fma4 (gfc_array_i1 * const restrict retarray,
+ gfc_array_i1 * const restrict a, gfc_array_i1 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_INTEGER_1 * restrict abase;
+ const GFC_INTEGER_1 * restrict bbase;
+ GFC_INTEGER_1 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_1));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_INTEGER_1 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_INTEGER_1 *a, *b;
+ GFC_INTEGER_1 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_INTEGER_1 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_INTEGER_1 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_INTEGER_1));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_INTEGER_1)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_INTEGER_1 *restrict abase_x;
+ const GFC_INTEGER_1 *restrict bbase_y;
+ GFC_INTEGER_1 *restrict dest_y;
+ GFC_INTEGER_1 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_1) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_1 *restrict bbase_y;
+ GFC_INTEGER_1 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_1) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_INTEGER_1)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_INTEGER_1 *restrict bbase_y;
+ GFC_INTEGER_1 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_1) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_1 *restrict abase_x;
+ const GFC_INTEGER_1 *restrict bbase_y;
+ GFC_INTEGER_1 *restrict dest_y;
+ GFC_INTEGER_1 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_1) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_i16.c
===================================================================
--- generated/matmulavx128_i16.c (nicht existent)
+++ generated/matmulavx128_i16.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_INTEGER_16)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_INTEGER_16 *, const GFC_INTEGER_16 *,
+ const int *, const GFC_INTEGER_16 *, const int *,
+ const GFC_INTEGER_16 *, GFC_INTEGER_16 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_i16_avx128_fma3 (gfc_array_i16 * const restrict retarray,
+ gfc_array_i16 * const restrict a, gfc_array_i16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_i16_avx128_fma3);
+void
+matmul_i16_avx128_fma3 (gfc_array_i16 * const restrict retarray,
+ gfc_array_i16 * const restrict a, gfc_array_i16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_INTEGER_16 * restrict abase;
+ const GFC_INTEGER_16 * restrict bbase;
+ GFC_INTEGER_16 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_16));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_INTEGER_16 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_INTEGER_16 *a, *b;
+ GFC_INTEGER_16 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_INTEGER_16 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_INTEGER_16 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_INTEGER_16));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_INTEGER_16)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_INTEGER_16 *restrict abase_x;
+ const GFC_INTEGER_16 *restrict bbase_y;
+ GFC_INTEGER_16 *restrict dest_y;
+ GFC_INTEGER_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_16 *restrict bbase_y;
+ GFC_INTEGER_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_INTEGER_16)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_INTEGER_16 *restrict bbase_y;
+ GFC_INTEGER_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_16 *restrict abase_x;
+ const GFC_INTEGER_16 *restrict bbase_y;
+ GFC_INTEGER_16 *restrict dest_y;
+ GFC_INTEGER_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_i16_avx128_fma4 (gfc_array_i16 * const restrict retarray,
+ gfc_array_i16 * const restrict a, gfc_array_i16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_i16_avx128_fma4);
+void
+matmul_i16_avx128_fma4 (gfc_array_i16 * const restrict retarray,
+ gfc_array_i16 * const restrict a, gfc_array_i16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_INTEGER_16 * restrict abase;
+ const GFC_INTEGER_16 * restrict bbase;
+ GFC_INTEGER_16 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_16));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_INTEGER_16 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_INTEGER_16 *a, *b;
+ GFC_INTEGER_16 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_INTEGER_16 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_INTEGER_16 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_INTEGER_16));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_INTEGER_16)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_INTEGER_16 *restrict abase_x;
+ const GFC_INTEGER_16 *restrict bbase_y;
+ GFC_INTEGER_16 *restrict dest_y;
+ GFC_INTEGER_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_16 *restrict bbase_y;
+ GFC_INTEGER_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_INTEGER_16)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_INTEGER_16 *restrict bbase_y;
+ GFC_INTEGER_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_16 *restrict abase_x;
+ const GFC_INTEGER_16 *restrict bbase_y;
+ GFC_INTEGER_16 *restrict dest_y;
+ GFC_INTEGER_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_i2.c
===================================================================
--- generated/matmulavx128_i2.c (nicht existent)
+++ generated/matmulavx128_i2.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_INTEGER_2)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_INTEGER_2 *, const GFC_INTEGER_2 *,
+ const int *, const GFC_INTEGER_2 *, const int *,
+ const GFC_INTEGER_2 *, GFC_INTEGER_2 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_i2_avx128_fma3 (gfc_array_i2 * const restrict retarray,
+ gfc_array_i2 * const restrict a, gfc_array_i2 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_i2_avx128_fma3);
+void
+matmul_i2_avx128_fma3 (gfc_array_i2 * const restrict retarray,
+ gfc_array_i2 * const restrict a, gfc_array_i2 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_INTEGER_2 * restrict abase;
+ const GFC_INTEGER_2 * restrict bbase;
+ GFC_INTEGER_2 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_2));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_INTEGER_2 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_INTEGER_2 *a, *b;
+ GFC_INTEGER_2 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_INTEGER_2 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_INTEGER_2 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_INTEGER_2));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_INTEGER_2)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_INTEGER_2 *restrict abase_x;
+ const GFC_INTEGER_2 *restrict bbase_y;
+ GFC_INTEGER_2 *restrict dest_y;
+ GFC_INTEGER_2 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_2) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_2 *restrict bbase_y;
+ GFC_INTEGER_2 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_2) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_INTEGER_2)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_INTEGER_2 *restrict bbase_y;
+ GFC_INTEGER_2 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_2) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_2 *restrict abase_x;
+ const GFC_INTEGER_2 *restrict bbase_y;
+ GFC_INTEGER_2 *restrict dest_y;
+ GFC_INTEGER_2 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_2) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_i2_avx128_fma4 (gfc_array_i2 * const restrict retarray,
+ gfc_array_i2 * const restrict a, gfc_array_i2 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_i2_avx128_fma4);
+void
+matmul_i2_avx128_fma4 (gfc_array_i2 * const restrict retarray,
+ gfc_array_i2 * const restrict a, gfc_array_i2 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_INTEGER_2 * restrict abase;
+ const GFC_INTEGER_2 * restrict bbase;
+ GFC_INTEGER_2 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_2));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_INTEGER_2 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_INTEGER_2 *a, *b;
+ GFC_INTEGER_2 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_INTEGER_2 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_INTEGER_2 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_INTEGER_2));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_INTEGER_2)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_INTEGER_2 *restrict abase_x;
+ const GFC_INTEGER_2 *restrict bbase_y;
+ GFC_INTEGER_2 *restrict dest_y;
+ GFC_INTEGER_2 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_2) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_2 *restrict bbase_y;
+ GFC_INTEGER_2 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_2) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_INTEGER_2)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_INTEGER_2 *restrict bbase_y;
+ GFC_INTEGER_2 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_2) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_2 *restrict abase_x;
+ const GFC_INTEGER_2 *restrict bbase_y;
+ GFC_INTEGER_2 *restrict dest_y;
+ GFC_INTEGER_2 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_2) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_i4.c
===================================================================
--- generated/matmulavx128_i4.c (nicht existent)
+++ generated/matmulavx128_i4.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_INTEGER_4)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_INTEGER_4 *, const GFC_INTEGER_4 *,
+ const int *, const GFC_INTEGER_4 *, const int *,
+ const GFC_INTEGER_4 *, GFC_INTEGER_4 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_i4_avx128_fma3 (gfc_array_i4 * const restrict retarray,
+ gfc_array_i4 * const restrict a, gfc_array_i4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_i4_avx128_fma3);
+void
+matmul_i4_avx128_fma3 (gfc_array_i4 * const restrict retarray,
+ gfc_array_i4 * const restrict a, gfc_array_i4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_INTEGER_4 * restrict abase;
+ const GFC_INTEGER_4 * restrict bbase;
+ GFC_INTEGER_4 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_4));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_INTEGER_4 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_INTEGER_4 *a, *b;
+ GFC_INTEGER_4 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_INTEGER_4 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_INTEGER_4 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_INTEGER_4));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_INTEGER_4)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_INTEGER_4 *restrict abase_x;
+ const GFC_INTEGER_4 *restrict bbase_y;
+ GFC_INTEGER_4 *restrict dest_y;
+ GFC_INTEGER_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_4 *restrict bbase_y;
+ GFC_INTEGER_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_INTEGER_4)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_INTEGER_4 *restrict bbase_y;
+ GFC_INTEGER_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_4 *restrict abase_x;
+ const GFC_INTEGER_4 *restrict bbase_y;
+ GFC_INTEGER_4 *restrict dest_y;
+ GFC_INTEGER_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_i4_avx128_fma4 (gfc_array_i4 * const restrict retarray,
+ gfc_array_i4 * const restrict a, gfc_array_i4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_i4_avx128_fma4);
+void
+matmul_i4_avx128_fma4 (gfc_array_i4 * const restrict retarray,
+ gfc_array_i4 * const restrict a, gfc_array_i4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_INTEGER_4 * restrict abase;
+ const GFC_INTEGER_4 * restrict bbase;
+ GFC_INTEGER_4 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_4));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_INTEGER_4 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_INTEGER_4 *a, *b;
+ GFC_INTEGER_4 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_INTEGER_4 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_INTEGER_4 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_INTEGER_4));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_INTEGER_4)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_INTEGER_4 *restrict abase_x;
+ const GFC_INTEGER_4 *restrict bbase_y;
+ GFC_INTEGER_4 *restrict dest_y;
+ GFC_INTEGER_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_4 *restrict bbase_y;
+ GFC_INTEGER_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_INTEGER_4)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_INTEGER_4 *restrict bbase_y;
+ GFC_INTEGER_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_4 *restrict abase_x;
+ const GFC_INTEGER_4 *restrict bbase_y;
+ GFC_INTEGER_4 *restrict dest_y;
+ GFC_INTEGER_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_i8.c
===================================================================
--- generated/matmulavx128_i8.c (nicht existent)
+++ generated/matmulavx128_i8.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_INTEGER_8)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_INTEGER_8 *, const GFC_INTEGER_8 *,
+ const int *, const GFC_INTEGER_8 *, const int *,
+ const GFC_INTEGER_8 *, GFC_INTEGER_8 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_i8_avx128_fma3 (gfc_array_i8 * const restrict retarray,
+ gfc_array_i8 * const restrict a, gfc_array_i8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_i8_avx128_fma3);
+void
+matmul_i8_avx128_fma3 (gfc_array_i8 * const restrict retarray,
+ gfc_array_i8 * const restrict a, gfc_array_i8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_INTEGER_8 * restrict abase;
+ const GFC_INTEGER_8 * restrict bbase;
+ GFC_INTEGER_8 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_8));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_INTEGER_8 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_INTEGER_8 *a, *b;
+ GFC_INTEGER_8 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_INTEGER_8 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_INTEGER_8 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_INTEGER_8));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_INTEGER_8)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_INTEGER_8 *restrict abase_x;
+ const GFC_INTEGER_8 *restrict bbase_y;
+ GFC_INTEGER_8 *restrict dest_y;
+ GFC_INTEGER_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_8 *restrict bbase_y;
+ GFC_INTEGER_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_INTEGER_8)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_INTEGER_8 *restrict bbase_y;
+ GFC_INTEGER_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_8 *restrict abase_x;
+ const GFC_INTEGER_8 *restrict bbase_y;
+ GFC_INTEGER_8 *restrict dest_y;
+ GFC_INTEGER_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_i8_avx128_fma4 (gfc_array_i8 * const restrict retarray,
+ gfc_array_i8 * const restrict a, gfc_array_i8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_i8_avx128_fma4);
+void
+matmul_i8_avx128_fma4 (gfc_array_i8 * const restrict retarray,
+ gfc_array_i8 * const restrict a, gfc_array_i8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_INTEGER_8 * restrict abase;
+ const GFC_INTEGER_8 * restrict bbase;
+ GFC_INTEGER_8 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_8));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_INTEGER_8 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_INTEGER_8 *a, *b;
+ GFC_INTEGER_8 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_INTEGER_8 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_INTEGER_8 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_INTEGER_8));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_INTEGER_8)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_INTEGER_8 *restrict abase_x;
+ const GFC_INTEGER_8 *restrict bbase_y;
+ GFC_INTEGER_8 *restrict dest_y;
+ GFC_INTEGER_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_8 *restrict bbase_y;
+ GFC_INTEGER_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_INTEGER_8)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_INTEGER_8 *restrict bbase_y;
+ GFC_INTEGER_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_INTEGER_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_INTEGER_8 *restrict abase_x;
+ const GFC_INTEGER_8 *restrict bbase_y;
+ GFC_INTEGER_8 *restrict dest_y;
+ GFC_INTEGER_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_INTEGER_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_r10.c
===================================================================
--- generated/matmulavx128_r10.c (nicht existent)
+++ generated/matmulavx128_r10.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_REAL_10)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_REAL_10 *, const GFC_REAL_10 *,
+ const int *, const GFC_REAL_10 *, const int *,
+ const GFC_REAL_10 *, GFC_REAL_10 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_r10_avx128_fma3 (gfc_array_r10 * const restrict retarray,
+ gfc_array_r10 * const restrict a, gfc_array_r10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_r10_avx128_fma3);
+void
+matmul_r10_avx128_fma3 (gfc_array_r10 * const restrict retarray,
+ gfc_array_r10 * const restrict a, gfc_array_r10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_REAL_10 * restrict abase;
+ const GFC_REAL_10 * restrict bbase;
+ GFC_REAL_10 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_10));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_REAL_10 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_REAL_10 *a, *b;
+ GFC_REAL_10 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_REAL_10 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_REAL_10 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_REAL_10));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_REAL_10)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_REAL_10 *restrict abase_x;
+ const GFC_REAL_10 *restrict bbase_y;
+ GFC_REAL_10 *restrict dest_y;
+ GFC_REAL_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_REAL_10 *restrict bbase_y;
+ GFC_REAL_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_REAL_10)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_REAL_10 *restrict bbase_y;
+ GFC_REAL_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_REAL_10 *restrict abase_x;
+ const GFC_REAL_10 *restrict bbase_y;
+ GFC_REAL_10 *restrict dest_y;
+ GFC_REAL_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_r10_avx128_fma4 (gfc_array_r10 * const restrict retarray,
+ gfc_array_r10 * const restrict a, gfc_array_r10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_r10_avx128_fma4);
+void
+matmul_r10_avx128_fma4 (gfc_array_r10 * const restrict retarray,
+ gfc_array_r10 * const restrict a, gfc_array_r10 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_REAL_10 * restrict abase;
+ const GFC_REAL_10 * restrict bbase;
+ GFC_REAL_10 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_10));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_REAL_10 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_REAL_10 *a, *b;
+ GFC_REAL_10 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_REAL_10 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_REAL_10 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_REAL_10));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_REAL_10)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_REAL_10 *restrict abase_x;
+ const GFC_REAL_10 *restrict bbase_y;
+ GFC_REAL_10 *restrict dest_y;
+ GFC_REAL_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_REAL_10 *restrict bbase_y;
+ GFC_REAL_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_REAL_10)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_REAL_10 *restrict bbase_y;
+ GFC_REAL_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_REAL_10 *restrict abase_x;
+ const GFC_REAL_10 *restrict bbase_y;
+ GFC_REAL_10 *restrict dest_y;
+ GFC_REAL_10 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_10) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_r16.c
===================================================================
--- generated/matmulavx128_r16.c (nicht existent)
+++ generated/matmulavx128_r16.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_REAL_16)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_REAL_16 *, const GFC_REAL_16 *,
+ const int *, const GFC_REAL_16 *, const int *,
+ const GFC_REAL_16 *, GFC_REAL_16 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_r16_avx128_fma3 (gfc_array_r16 * const restrict retarray,
+ gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_r16_avx128_fma3);
+void
+matmul_r16_avx128_fma3 (gfc_array_r16 * const restrict retarray,
+ gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_REAL_16 * restrict abase;
+ const GFC_REAL_16 * restrict bbase;
+ GFC_REAL_16 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_16));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_REAL_16 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_REAL_16 *a, *b;
+ GFC_REAL_16 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_REAL_16 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_REAL_16)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_REAL_16 *restrict abase_x;
+ const GFC_REAL_16 *restrict bbase_y;
+ GFC_REAL_16 *restrict dest_y;
+ GFC_REAL_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_REAL_16 *restrict bbase_y;
+ GFC_REAL_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_REAL_16)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_REAL_16 *restrict bbase_y;
+ GFC_REAL_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_REAL_16 *restrict abase_x;
+ const GFC_REAL_16 *restrict bbase_y;
+ GFC_REAL_16 *restrict dest_y;
+ GFC_REAL_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_r16_avx128_fma4 (gfc_array_r16 * const restrict retarray,
+ gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_r16_avx128_fma4);
+void
+matmul_r16_avx128_fma4 (gfc_array_r16 * const restrict retarray,
+ gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_REAL_16 * restrict abase;
+ const GFC_REAL_16 * restrict bbase;
+ GFC_REAL_16 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_16));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_REAL_16 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_REAL_16 *a, *b;
+ GFC_REAL_16 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_REAL_16 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_REAL_16)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_REAL_16 *restrict abase_x;
+ const GFC_REAL_16 *restrict bbase_y;
+ GFC_REAL_16 *restrict dest_y;
+ GFC_REAL_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_REAL_16 *restrict bbase_y;
+ GFC_REAL_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_REAL_16)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_REAL_16 *restrict bbase_y;
+ GFC_REAL_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_REAL_16 *restrict abase_x;
+ const GFC_REAL_16 *restrict bbase_y;
+ GFC_REAL_16 *restrict dest_y;
+ GFC_REAL_16 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_16) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_r4.c
===================================================================
--- generated/matmulavx128_r4.c (nicht existent)
+++ generated/matmulavx128_r4.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_REAL_4)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_REAL_4 *, const GFC_REAL_4 *,
+ const int *, const GFC_REAL_4 *, const int *,
+ const GFC_REAL_4 *, GFC_REAL_4 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_r4_avx128_fma3 (gfc_array_r4 * const restrict retarray,
+ gfc_array_r4 * const restrict a, gfc_array_r4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_r4_avx128_fma3);
+void
+matmul_r4_avx128_fma3 (gfc_array_r4 * const restrict retarray,
+ gfc_array_r4 * const restrict a, gfc_array_r4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_REAL_4 * restrict abase;
+ const GFC_REAL_4 * restrict bbase;
+ GFC_REAL_4 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_4));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_REAL_4 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_REAL_4 *a, *b;
+ GFC_REAL_4 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_REAL_4 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_REAL_4 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_REAL_4));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_REAL_4)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_REAL_4 *restrict abase_x;
+ const GFC_REAL_4 *restrict bbase_y;
+ GFC_REAL_4 *restrict dest_y;
+ GFC_REAL_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_REAL_4 *restrict bbase_y;
+ GFC_REAL_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_REAL_4)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_REAL_4 *restrict bbase_y;
+ GFC_REAL_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_REAL_4 *restrict abase_x;
+ const GFC_REAL_4 *restrict bbase_y;
+ GFC_REAL_4 *restrict dest_y;
+ GFC_REAL_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_r4_avx128_fma4 (gfc_array_r4 * const restrict retarray,
+ gfc_array_r4 * const restrict a, gfc_array_r4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_r4_avx128_fma4);
+void
+matmul_r4_avx128_fma4 (gfc_array_r4 * const restrict retarray,
+ gfc_array_r4 * const restrict a, gfc_array_r4 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_REAL_4 * restrict abase;
+ const GFC_REAL_4 * restrict bbase;
+ GFC_REAL_4 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_4));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_REAL_4 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_REAL_4 *a, *b;
+ GFC_REAL_4 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_REAL_4 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_REAL_4 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_REAL_4));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_REAL_4)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_REAL_4 *restrict abase_x;
+ const GFC_REAL_4 *restrict bbase_y;
+ GFC_REAL_4 *restrict dest_y;
+ GFC_REAL_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_REAL_4 *restrict bbase_y;
+ GFC_REAL_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_REAL_4)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_REAL_4 *restrict bbase_y;
+ GFC_REAL_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_REAL_4 *restrict abase_x;
+ const GFC_REAL_4 *restrict bbase_y;
+ GFC_REAL_4 *restrict dest_y;
+ GFC_REAL_4 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_4) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: generated/matmulavx128_r8.c
===================================================================
--- generated/matmulavx128_r8.c (nicht existent)
+++ generated/matmulavx128_r8.c (Arbeitskopie)
@@ -0,0 +1,1152 @@
+/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>
+
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+#if defined (HAVE_GFC_REAL_8)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const GFC_REAL_8 *, const GFC_REAL_8 *,
+ const int *, const GFC_REAL_8 *, const int *,
+ const GFC_REAL_8 *, GFC_REAL_8 *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+void
+matmul_r8_avx128_fma3 (gfc_array_r8 * const restrict retarray,
+ gfc_array_r8 * const restrict a, gfc_array_r8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto(matmul_r8_avx128_fma3);
+void
+matmul_r8_avx128_fma3 (gfc_array_r8 * const restrict retarray,
+ gfc_array_r8 * const restrict a, gfc_array_r8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_REAL_8 * restrict abase;
+ const GFC_REAL_8 * restrict bbase;
+ GFC_REAL_8 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_8));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_REAL_8 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_REAL_8 *a, *b;
+ GFC_REAL_8 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_REAL_8 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_REAL_8 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_REAL_8));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_REAL_8)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_REAL_8 *restrict abase_x;
+ const GFC_REAL_8 *restrict bbase_y;
+ GFC_REAL_8 *restrict dest_y;
+ GFC_REAL_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_REAL_8 *restrict bbase_y;
+ GFC_REAL_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_REAL_8)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_REAL_8 *restrict bbase_y;
+ GFC_REAL_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_REAL_8 *restrict abase_x;
+ const GFC_REAL_8 *restrict bbase_y;
+ GFC_REAL_8 *restrict dest_y;
+ GFC_REAL_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+void
+matmul_r8_avx128_fma4 (gfc_array_r8 * const restrict retarray,
+ gfc_array_r8 * const restrict a, gfc_array_r8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto(matmul_r8_avx128_fma4);
+void
+matmul_r8_avx128_fma4 (gfc_array_r8 * const restrict retarray,
+ gfc_array_r8 * const restrict a, gfc_array_r8 * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm)
+{
+ const GFC_REAL_8 * restrict abase;
+ const GFC_REAL_8 * restrict bbase;
+ GFC_REAL_8 * restrict dest;
+
+ index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
+ index_type x, y, n, count, xcount, ycount;
+
+ assert (GFC_DESCRIPTOR_RANK (a) == 2
+ || GFC_DESCRIPTOR_RANK (b) == 2);
+
+/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
+
+ Either A or B (but not both) can be rank 1:
+
+ o One-dimensional argument A is implicitly treated as a row matrix
+ dimensioned [1,count], so xcount=1.
+
+ o One-dimensional argument B is implicitly treated as a column matrix
+ dimensioned [count, 1], so ycount=1.
+*/
+
+ if (retarray->base_addr == NULL)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+ }
+ else
+ {
+ GFC_DIMENSION_SET(retarray->dim[0], 0,
+ GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
+
+ GFC_DIMENSION_SET(retarray->dim[1], 0,
+ GFC_DESCRIPTOR_EXTENT(b,1) - 1,
+ GFC_DESCRIPTOR_EXTENT(retarray,0));
+ }
+
+ retarray->base_addr
+ = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_8));
+ retarray->offset = 0;
+ }
+ else if (unlikely (compile_options.bounds_check))
+ {
+ index_type ret_extent, arg_extent;
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic: is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ else
+ {
+ arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 1:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+
+ arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
+ ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
+ if (arg_extent != ret_extent)
+ runtime_error ("Incorrect extent in return array in"
+ " MATMUL intrinsic for dimension 2:"
+ " is %ld, should be %ld",
+ (long int) ret_extent, (long int) arg_extent);
+ }
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (retarray) == 1)
+ {
+ /* One-dimensional result may be addressed in the code below
+ either as a row or a column matrix. We want both cases to
+ work. */
+ rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ }
+ else
+ {
+ rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
+ rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
+ }
+
+
+ if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ /* Treat it as a a row matrix A[1,count]. */
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = 1;
+
+ xcount = 1;
+ count = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+ else
+ {
+ axstride = GFC_DESCRIPTOR_STRIDE(a,0);
+ aystride = GFC_DESCRIPTOR_STRIDE(a,1);
+
+ count = GFC_DESCRIPTOR_EXTENT(a,1);
+ xcount = GFC_DESCRIPTOR_EXTENT(a,0);
+ }
+
+ if (count != GFC_DESCRIPTOR_EXTENT(b,0))
+ {
+ if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
+ runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
+ }
+
+ if (GFC_DESCRIPTOR_RANK (b) == 1)
+ {
+ /* Treat it as a column matrix B[count,1] */
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+
+ /* bystride should never be used for 1-dimensional b.
+ The value is only used for calculation of the
+ memory by the buffer. */
+ bystride = 256;
+ ycount = 1;
+ }
+ else
+ {
+ bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
+ bystride = GFC_DESCRIPTOR_STRIDE(b,1);
+ ycount = GFC_DESCRIPTOR_EXTENT(b,1);
+ }
+
+ abase = a->base_addr;
+ bbase = b->base_addr;
+ dest = retarray->base_addr;
+
+ /* Now that everything is set up, we perform the multiplication
+ itself. */
+
+#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
+#define min(a,b) ((a) <= (b) ? (a) : (b))
+#define max(a,b) ((a) >= (b) ? (a) : (b))
+
+ if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
+ && (bxstride == 1 || bystride == 1)
+ && (((float) xcount) * ((float) ycount) * ((float) count)
+ > POW3(blas_limit)))
+ {
+ const int m = xcount, n = ycount, k = count, ldc = rystride;
+ const GFC_REAL_8 one = 1, zero = 0;
+ const int lda = (axstride == 1) ? aystride : axstride,
+ ldb = (bxstride == 1) ? bystride : bxstride;
+
+ if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
+ {
+ assert (gemm != NULL);
+ gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m,
+ &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
+ &ldc, 1, 1);
+ return;
+ }
+ }
+
+ if (rxstride == 1 && axstride == 1 && bxstride == 1)
+ {
+ /* This block of code implements a tuned matmul, derived from
+ Superscalar GEMM-based level 3 BLAS, Beta version 0.1
+
+ Bo Kagstrom and Per Ling
+ Department of Computing Science
+ Umea University
+ S-901 87 Umea, Sweden
+
+ from netlib.org, translated to C, and modified for matmul.m4. */
+
+ const GFC_REAL_8 *a, *b;
+ GFC_REAL_8 *c;
+ const index_type m = xcount, n = ycount, k = count;
+
+ /* System generated locals */
+ index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
+ i1, i2, i3, i4, i5, i6;
+
+ /* Local variables */
+ GFC_REAL_8 f11, f12, f21, f22, f31, f32, f41, f42,
+ f13, f14, f23, f24, f33, f34, f43, f44;
+ index_type i, j, l, ii, jj, ll;
+ index_type isec, jsec, lsec, uisec, ujsec, ulsec;
+ GFC_REAL_8 *t1;
+
+ a = abase;
+ b = bbase;
+ c = retarray->base_addr;
+
+ /* Parameter adjustments */
+ c_dim1 = rystride;
+ c_offset = 1 + c_dim1;
+ c -= c_offset;
+ a_dim1 = aystride;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ b_dim1 = bystride;
+ b_offset = 1 + b_dim1;
+ b -= b_offset;
+
+ /* Early exit if possible */
+ if (m == 0 || n == 0 || k == 0)
+ return;
+
+ /* Adjust size of t1 to what is needed. */
+ index_type t1_dim;
+ t1_dim = (a_dim1-1) * 256 + b_dim1;
+ if (t1_dim > 65536)
+ t1_dim = 65536;
+
+ t1 = malloc (t1_dim * sizeof(GFC_REAL_8));
+
+ /* Empty c first. */
+ for (j=1; j<=n; j++)
+ for (i=1; i<=m; i++)
+ c[i + j * c_dim1] = (GFC_REAL_8)0;
+
+ /* Start turning the crank. */
+ i1 = n;
+ for (jj = 1; jj <= i1; jj += 512)
+ {
+ /* Computing MIN */
+ i2 = 512;
+ i3 = n - jj + 1;
+ jsec = min(i2,i3);
+ ujsec = jsec - jsec % 4;
+ i2 = k;
+ for (ll = 1; ll <= i2; ll += 256)
+ {
+ /* Computing MIN */
+ i3 = 256;
+ i4 = k - ll + 1;
+ lsec = min(i3,i4);
+ ulsec = lsec - lsec % 2;
+
+ i3 = m;
+ for (ii = 1; ii <= i3; ii += 256)
+ {
+ /* Computing MIN */
+ i4 = 256;
+ i5 = m - ii + 1;
+ isec = min(i4,i5);
+ uisec = isec - isec % 2;
+ i4 = ll + ulsec - 1;
+ for (l = ll; l <= i4; l += 2)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 2)
+ {
+ t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
+ a[i + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
+ a[i + (l + 1) * a_dim1];
+ t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + l * a_dim1];
+ t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
+ a[i + 1 + (l + 1) * a_dim1];
+ }
+ if (uisec < isec)
+ {
+ t1[l - ll + 1 + (isec << 8) - 257] =
+ a[ii + isec - 1 + l * a_dim1];
+ t1[l - ll + 2 + (isec << 8) - 257] =
+ a[ii + isec - 1 + (l + 1) * a_dim1];
+ }
+ }
+ if (ulsec < lsec)
+ {
+ i4 = ii + isec - 1;
+ for (i = ii; i<= i4; ++i)
+ {
+ t1[lsec + ((i - ii + 1) << 8) - 257] =
+ a[i + (ll + lsec - 1) * a_dim1];
+ }
+ }
+
+ uisec = isec - isec % 4;
+ i4 = jj + ujsec - 1;
+ for (j = jj; j <= i4; j += 4)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f22 = c[i + 1 + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f23 = c[i + 1 + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ f24 = c[i + 1 + (j + 3) * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ f32 = c[i + 2 + (j + 1) * c_dim1];
+ f42 = c[i + 3 + (j + 1) * c_dim1];
+ f33 = c[i + 2 + (j + 2) * c_dim1];
+ f43 = c[i + 3 + (j + 2) * c_dim1];
+ f34 = c[i + 2 + (j + 3) * c_dim1];
+ f44 = c[i + 3 + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + j * b_dim1];
+ f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 1) * b_dim1];
+ f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 2) * b_dim1];
+ f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
+ * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + 1 + (j + 1) * c_dim1] = f22;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + 1 + (j + 2) * c_dim1] = f23;
+ c[i + (j + 3) * c_dim1] = f14;
+ c[i + 1 + (j + 3) * c_dim1] = f24;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ c[i + 2 + (j + 1) * c_dim1] = f32;
+ c[i + 3 + (j + 1) * c_dim1] = f42;
+ c[i + 2 + (j + 2) * c_dim1] = f33;
+ c[i + 3 + (j + 2) * c_dim1] = f43;
+ c[i + 2 + (j + 3) * c_dim1] = f34;
+ c[i + 3 + (j + 3) * c_dim1] = f44;
+ }
+ if (uisec < isec)
+ {
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ f12 = c[i + (j + 1) * c_dim1];
+ f13 = c[i + (j + 2) * c_dim1];
+ f14 = c[i + (j + 3) * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 1) * b_dim1];
+ f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 2) * b_dim1];
+ f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + (j + 3) * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + (j + 1) * c_dim1] = f12;
+ c[i + (j + 2) * c_dim1] = f13;
+ c[i + (j + 3) * c_dim1] = f14;
+ }
+ }
+ }
+ if (ujsec < jsec)
+ {
+ i4 = jj + jsec - 1;
+ for (j = jj + ujsec; j <= i4; ++j)
+ {
+ i5 = ii + uisec - 1;
+ for (i = ii; i <= i5; i += 4)
+ {
+ f11 = c[i + j * c_dim1];
+ f21 = c[i + 1 + j * c_dim1];
+ f31 = c[i + 2 + j * c_dim1];
+ f41 = c[i + 3 + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
+ 257] * b[l + j * b_dim1];
+ f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
+ 257] * b[l + j * b_dim1];
+ f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ c[i + 1 + j * c_dim1] = f21;
+ c[i + 2 + j * c_dim1] = f31;
+ c[i + 3 + j * c_dim1] = f41;
+ }
+ i5 = ii + isec - 1;
+ for (i = ii + uisec; i <= i5; ++i)
+ {
+ f11 = c[i + j * c_dim1];
+ i6 = ll + lsec - 1;
+ for (l = ll; l <= i6; ++l)
+ {
+ f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
+ 257] * b[l + j * b_dim1];
+ }
+ c[i + j * c_dim1] = f11;
+ }
+ }
+ }
+ }
+ }
+ }
+ free(t1);
+ return;
+ }
+ else if (rxstride == 1 && aystride == 1 && bxstride == 1)
+ {
+ if (GFC_DESCRIPTOR_RANK (a) != 1)
+ {
+ const GFC_REAL_8 *restrict abase_x;
+ const GFC_REAL_8 *restrict bbase_y;
+ GFC_REAL_8 *restrict dest_y;
+ GFC_REAL_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n] * bbase_y[n];
+ dest_y[x] = s;
+ }
+ }
+ }
+ else
+ {
+ const GFC_REAL_8 *restrict bbase_y;
+ GFC_REAL_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n];
+ dest[y*rystride] = s;
+ }
+ }
+ }
+ else if (axstride < aystride)
+ {
+ for (y = 0; y < ycount; y++)
+ for (x = 0; x < xcount; x++)
+ dest[x*rxstride + y*rystride] = (GFC_REAL_8)0;
+
+ for (y = 0; y < ycount; y++)
+ for (n = 0; n < count; n++)
+ for (x = 0; x < xcount; x++)
+ /* dest[x,y] += a[x,n] * b[n,y] */
+ dest[x*rxstride + y*rystride] +=
+ abase[x*axstride + n*aystride] *
+ bbase[n*bxstride + y*bystride];
+ }
+ else if (GFC_DESCRIPTOR_RANK (a) == 1)
+ {
+ const GFC_REAL_8 *restrict bbase_y;
+ GFC_REAL_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ s = (GFC_REAL_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase[n*axstride] * bbase_y[n*bxstride];
+ dest[y*rxstride] = s;
+ }
+ }
+ else
+ {
+ const GFC_REAL_8 *restrict abase_x;
+ const GFC_REAL_8 *restrict bbase_y;
+ GFC_REAL_8 *restrict dest_y;
+ GFC_REAL_8 s;
+
+ for (y = 0; y < ycount; y++)
+ {
+ bbase_y = &bbase[y*bystride];
+ dest_y = &dest[y*rystride];
+ for (x = 0; x < xcount; x++)
+ {
+ abase_x = &abase[x*axstride];
+ s = (GFC_REAL_8) 0;
+ for (n = 0; n < count; n++)
+ s += abase_x[n*aystride] * bbase_y[n*bxstride];
+ dest_y[x*rxstride] = s;
+ }
+ }
+ }
+}
+#undef POW3
+#undef min
+#undef max
+
+#endif
+
+#endif
+
Index: m4/matmul.m4
===================================================================
--- m4/matmul.m4 (Revision 247566)
+++ m4/matmul.m4 (Arbeitskopie)
@@ -106,6 +106,26 @@ static' include(matmul_internal.m4)dnl
static' include(matmul_internal.m4)dnl
`#endif /* HAVE_AVX512F */
+/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+'define(`matmul_name',`matmul_'rtype_code`_avx128_fma3')dnl
+`void
+'matmul_name` ('rtype` * const restrict retarray,
+ 'rtype` * const restrict a, 'rtype` * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto('matmul_name`);
+#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+'define(`matmul_name',`matmul_'rtype_code`_avx128_fma4')dnl
+`void
+'matmul_name` ('rtype` * const restrict retarray,
+ 'rtype` * const restrict a, 'rtype` * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto('matmul_name`);
+#endif
+
/* Function to fall back to if there is no special processor-specific version. */
'define(`matmul_name',`matmul_'rtype_code`_vanilla')dnl
`static' include(matmul_internal.m4)dnl
@@ -161,6 +181,26 @@ void matmul_'rtype_code` ('rtype` * const restrict
}
#endif /* HAVE_AVX */
}
+ else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
+ {
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
+ {
+ matmul_fn = matmul_'rtype_code`_avx128_fma3;
+ goto store;
+ }
+#endif
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+ if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
+ && (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
+ {
+ matmul_fn = matmul_'rtype_code`_avx128_fma4;
+ goto store;
+ }
+#endif
+
+ }
store:
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
}
Index: m4/matmulavx128.m4
===================================================================
--- m4/matmulavx128.m4 (nicht existent)
+++ m4/matmulavx128.m4 (Arbeitskopie)
@@ -0,0 +1,67 @@
+`/* Implementation of the MATMUL intrinsic
+ Copyright (C) 2002-2017 Free Software Foundation, Inc.
+ Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <string.h>
+#include <assert.h>'
+
+include(iparm.m4)dnl
+
+/* These are the specific versions of matmul with -mprefer=avx128. */
+
+`#if defined (HAVE_'rtype_name`)
+
+/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
+ passed to us by the front-end, in which case we call it for large
+ matrices. */
+
+typedef void (*blas_call)(const char *, const char *, const int *, const int *,
+ const int *, const 'rtype_name` *, const 'rtype_name` *,
+ const int *, const 'rtype_name` *, const int *,
+ const 'rtype_name` *, 'rtype_name` *, const int *,
+ int, int);
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
+'define(`matmul_name',`matmul_'rtype_code`_avx128_fma3')dnl
+`void
+'matmul_name` ('rtype` * const restrict retarray,
+ 'rtype` * const restrict a, 'rtype` * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
+internal_proto('matmul_name`);
+'include(matmul_internal.m4)dnl
+`#endif
+
+#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
+'define(`matmul_name',`matmul_'rtype_code`_avx128_fma4')dnl
+`void
+'matmul_name` ('rtype` * const restrict retarray,
+ 'rtype` * const restrict a, 'rtype` * const restrict b, int try_blas,
+ int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
+internal_proto('matmul_name`);
+'include(matmul_internal.m4)dnl
+`#endif
+
+#endif
+'