Optimized zgemm kernel for CORTEXA57
authorAshwin Sekhar T K <ashwin@broadcom.com>
Mon, 2 Nov 2015 13:28:28 +0000 (18:58 +0530)
committerAshwin Sekhar T K <ashwin@broadcom.com>
Mon, 9 Nov 2015 08:45:53 +0000 (14:15 +0530)
kernel/arm64/KERNEL.CORTEXA57
kernel/arm64/zgemm_kernel_4x4.S [new file with mode: 0644]
param.h

index ac9908d..fd7f505 100644 (file)
@@ -63,6 +63,7 @@ ZGEMVTKERNEL = zgemv_t.S
 STRMMKERNEL = ../generic/trmmkernel_4x4.c
 DTRMMKERNEL = ../generic/trmmkernel_4x4.c
 CTRMMKERNEL = ../generic/ztrmmkernel_4x4.c
+ZTRMMKERNEL = ../generic/ztrmmkernel_4x4.c
 
 SGEMMKERNEL    =  sgemm_kernel_4x4.S
 SGEMMONCOPY    =  ../generic/gemm_ncopy_4.c
@@ -81,3 +82,10 @@ CGEMMONCOPY    =  ../generic/zgemm_ncopy_4.c
 CGEMMOTCOPY    =  ../generic/zgemm_tcopy_4.c
 CGEMMONCOPYOBJ =  cgemm_oncopy.o
 CGEMMOTCOPYOBJ =  cgemm_otcopy.o
+
+ZGEMMKERNEL    =  zgemm_kernel_4x4.S
+ZGEMMONCOPY    =  ../generic/zgemm_ncopy_4.c
+ZGEMMOTCOPY    =  ../generic/zgemm_tcopy_4.c
+ZGEMMONCOPYOBJ =  zgemm_oncopy.o
+ZGEMMOTCOPYOBJ =  zgemm_otcopy.o
+
diff --git a/kernel/arm64/zgemm_kernel_4x4.S b/kernel/arm64/zgemm_kernel_4x4.S
new file mode 100644 (file)
index 0000000..56a8bba
--- /dev/null
@@ -0,0 +1,1617 @@
+/*******************************************************************************
+Copyright (c) 2015, The OpenBLAS Project
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+1. Redistributions of source code must retain the above copyright
+notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+notice, this list of conditions and the following disclaimer in
+the documentation and/or other materials provided with the
+distribution.
+3. Neither the name of the OpenBLAS project nor the names of
+its contributors may be used to endorse or promote products
+derived from this software without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE OPENBLAS PROJECT OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*******************************************************************************/
+
+#define ASSEMBLER
+#include "common.h"
+
+/*                   X0          X1          X2          s0        X3        x4       x5           x6 */
+/*int CNAME(BLASLONG bm,BLASLONG bn,BLASLONG bk,FLOAT alpha0,FLOAT* ba,FLOAT* bb,FLOAT* C,BLASLONG ldc */
+
+#define origM          x0
+#define origN          x1
+#define origK          x2
+#define origPA         x3
+#define origPB         x4
+#define pC             x5
+#define LDC            x6
+#define temp           x7
+#define counterL       x8
+#define counterI       x9
+#define counterJ       x10
+#define pB             x11
+#define pCRow0         x12
+#define pCRow1         x13
+#define pCRow2         x14
+#define pA             x15
+#define alpha_save_R   x16
+#define alpha_save_I   x17
+
+#define alpha0_R       d10
+#define alphaV0_R      v10.d[0]
+#define alpha0_I       d11
+#define alphaV0_I      v11.d[0]
+
+#define alpha1_R       d14
+#define alphaV1_R      v14.d[0]
+#define alpha1_I       d15
+#define alphaV1_I      v15.d[0]
+
+
+#if defined(NN) || defined(NT) || defined(TN) || defined(TT)
+#define OP_rr          fmla
+#define OP_ii          fmls
+#define OP_ri          fmla
+#define OP_ir          fmla
+#elif defined(NR) || defined(NC) || defined(TR) || defined(TC)
+#define OP_rr          fmla
+#define OP_ii          fmla
+#define OP_ri          fmls
+#define OP_ir          fmla
+#elif defined(RN) || defined(RT) || defined(CN) || defined(CT)
+#define OP_rr          fmla
+#define OP_ii          fmla
+#define OP_ri          fmla
+#define OP_ir          fmls
+#elif defined(RR) || defined(RC) || defined(CR) || defined(CC)
+#define OP_rr          fmla
+#define OP_ii          fmls
+#define OP_ri          fmls
+#define OP_ir          fmls
+#endif
+
+// 00 origM
+// 01 origN
+// 02 origK
+// 03 origPA
+// 04 origPB
+// 05 pC
+// 06 origLDC -> LDC
+// 07 offset -> temp
+// 08 counterL
+// 09 counterI
+// 10 counterJ
+// 11 pB
+// 12 pCRow0
+// 13 pCRow1
+// 14 pCRow2
+// 15 pA
+// 16 alpha_save_R
+// 17 alpha_save_I
+// 18 must save
+// 19 must save
+// 20 must save
+// 21 must save
+// 22 must save
+// 23 must save
+// 24 must save
+// 25 must save
+// 26 must save
+// 27 must save
+// 28 must save
+// 29 frame
+// 30 link
+// 31 sp
+
+//v00 ALPHA_R -> pA00_R, pA01_R
+//v01 ALPHA_I -> pA00_I, pA01_I
+//v02 pA02_R, pA03_R
+//v03 pA02_I, pA03_I
+//v04 pA10_R, pA11_R
+//v05 pA10_I, pA11_I
+//v06 pA12_R, pA13_R
+//v07 pA12_I, pA13_I
+//v08 must save pB00_R, pB01_R
+//v09 must save pB00_I, pB01_I
+//v10 must save pB02_R, pB03_R OR ALPHA0_R
+//v11 must save pB02_I, pB03_I OR ALPHA0_I
+//v12 must save pB10_R, pB11_R
+//v13 must save pB10_I, pB11_I
+//v14 must save pB12_R, pB13_R OR ALPHA1_R
+//v15 must save pB12_I, pB13_I OR ALPHA1_R
+//v16 must save pC00_R, pC01_R
+//v17 must save pC00_I, pC01_I
+//v18 pC02_R, pC03_R
+//v19 pC02_I, pC03_I
+//v20 pC10_R, pC11_R
+//v21 pC10_I, pC11_I
+//v22 pC12_R, pC13_R
+//v23 pC12_I, pC13_I
+//v24 pC20_R, pC21_R
+//v25 pC20_I, pC21_I
+//v26 pC22_R, pC23_R
+//v27 pC22_I, pC23_I
+//v28 pC30_R, pC31_R
+//v29 pC30_I, pC31_I
+//v30 pC32_R, pC33_R
+//v31 pC32_I, pC33_I
+
+/*******************************************************************************
+* Macro definitions
+*******************************************************************************/
+
+.macro INIT4x4
+       fmov            d16, xzr
+       fmov            d17, d16
+       fmov            d18, d17
+       fmov            d19, d16
+       fmov            d20, d17
+       fmov            d21, d16
+       fmov            d22, d17
+       fmov            d23, d16
+       fmov            d24, d17
+       fmov            d25, d16
+       fmov            d26, d17
+       fmov            d27, d16
+       fmov            d28, d17
+       fmov            d29, d16
+       fmov            d30, d17
+       fmov            d31, d16
+.endm
+
+.macro KERNEL4x4_I
+       ld2     {v8.2d, v9.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v10.2d, v11.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v0.2d, v1.2d}, [pA]
+       add     pA, pA, #32
+       ld2     {v2.2d, v3.2d}, [pA]
+       add     pA, pA, #32
+
+       fmul    v16.2d, v0.2d, v8.2d[0]
+       OP_ii   v16.2d, v1.2d, v9.2d[0]
+       fmul    v17.2d, v0.2d, v9.2d[0]
+#if defined(NR) || defined(NC) || defined(TR) || defined(TC) || \
+    defined(RR) || defined(RC) || defined(CR) || defined(CC)
+       fneg    v17.2d, v17.2d
+#endif
+       OP_ir   v17.2d, v1.2d, v8.2d[0]
+
+       fmul    v18.2d, v2.2d, v8.2d[0]
+       OP_ii   v18.2d, v3.2d, v9.2d[0]
+       fmul    v19.2d, v2.2d, v9.2d[0]
+#if defined(NR) || defined(NC) || defined(TR) || defined(TC) || \
+    defined(RR) || defined(RC) || defined(CR) || defined(CC)
+       fneg    v19.2d, v19.2d
+#endif
+       OP_ir   v19.2d, v3.2d, v8.2d[0]
+
+       fmul    v20.2d, v0.2d, v8.2d[1]
+       OP_ii   v20.2d, v1.2d, v9.2d[1]
+       fmul    v21.2d, v0.2d, v9.2d[1]
+#if defined(NR) || defined(NC) || defined(TR) || defined(TC) || \
+    defined(RR) || defined(RC) || defined(CR) || defined(CC)
+       fneg    v21.2d, v21.2d
+#endif
+       OP_ir   v21.2d, v1.2d, v8.2d[1]
+
+       fmul    v22.2d, v2.2d, v8.2d[1]
+       OP_ii   v22.2d, v3.2d, v9.2d[1]
+       fmul    v23.2d, v2.2d, v9.2d[1]
+#if defined(NR) || defined(NC) || defined(TR) || defined(TC) || \
+    defined(RR) || defined(RC) || defined(CR) || defined(CC)
+       fneg    v23.2d, v23.2d
+#endif
+       OP_ir   v23.2d, v3.2d, v8.2d[1]
+
+       fmul    v24.2d, v0.2d, v10.2d[0]
+       OP_ii   v24.2d, v1.2d, v11.2d[0]
+       fmul    v25.2d, v0.2d, v11.2d[0]
+#if defined(NR) || defined(NC) || defined(TR) || defined(TC) || \
+    defined(RR) || defined(RC) || defined(CR) || defined(CC)
+       fneg    v25.2d, v25.2d
+#endif
+       OP_ir   v25.2d, v1.2d, v10.2d[0]
+
+       fmul    v26.2d, v2.2d, v10.2d[0]
+       OP_ii   v26.2d, v3.2d, v11.2d[0]
+       fmul    v27.2d, v2.2d, v11.2d[0]
+#if defined(NR) || defined(NC) || defined(TR) || defined(TC) || \
+    defined(RR) || defined(RC) || defined(CR) || defined(CC)
+       fneg    v27.2d, v27.2d
+#endif
+       OP_ir   v27.2d, v3.2d, v10.2d[0]
+
+       fmul    v28.2d, v0.2d, v10.2d[1]
+       OP_ii   v28.2d, v1.2d, v11.2d[1]
+       fmul    v29.2d, v0.2d, v11.2d[1]
+#if defined(NR) || defined(NC) || defined(TR) || defined(TC) || \
+    defined(RR) || defined(RC) || defined(CR) || defined(CC)
+       fneg    v29.2d, v29.2d
+#endif
+       OP_ir   v29.2d, v1.2d, v10.2d[1]
+
+       fmul    v30.2d, v2.2d, v10.2d[1]
+       OP_ii   v30.2d, v3.2d, v11.2d[1]
+       fmul    v31.2d, v2.2d, v11.2d[1]
+#if defined(NR) || defined(NC) || defined(TR) || defined(TC) || \
+    defined(RR) || defined(RC) || defined(CR) || defined(CC)
+       fneg    v31.2d, v31.2d
+#endif
+       OP_ir   v31.2d, v3.2d, v10.2d[1]
+
+       ld2     {v12.2d, v13.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v14.2d, v15.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v4.2d, v5.2d} , [pA]
+       add     pA, pA, #32
+       ld2     {v6.2d, v7.2d} , [pA]
+       add     pA, pA, #32
+.endm
+
+.macro KERNEL4x4_M1
+       OP_rr   v16.2d, v0.2d, v8.2d[0]
+       OP_ii   v16.2d, v1.2d, v9.2d[0]
+       OP_ri   v17.2d, v0.2d, v9.2d[0]
+       OP_ir   v17.2d, v1.2d, v8.2d[0]
+
+       ld2     {v12.2d, v13.2d}, [pB]          // For next round
+       add     pB, pB, #32
+
+       OP_rr   v18.2d, v2.2d, v8.2d[0]
+       OP_ii   v18.2d, v3.2d, v9.2d[0]
+       OP_ri   v19.2d, v2.2d, v9.2d[0]
+       OP_ir   v19.2d, v3.2d, v8.2d[0]
+
+       ld2     {v14.2d, v15.2d}, [pB]          // For next round
+       add     pB, pB, #32
+
+       OP_rr   v20.2d, v0.2d, v8.2d[1]
+       OP_ii   v20.2d, v1.2d, v9.2d[1]
+       OP_ri   v21.2d, v0.2d, v9.2d[1]
+       OP_ir   v21.2d, v1.2d, v8.2d[1]
+
+       ld2     {v4.2d, v5.2d} , [pA]           // For next round
+       add     pA, pA, #32
+
+       OP_rr   v22.2d, v2.2d, v8.2d[1]
+       OP_ii   v22.2d, v3.2d, v9.2d[1]
+       OP_ri   v23.2d, v2.2d, v9.2d[1]
+       OP_ir   v23.2d, v3.2d, v8.2d[1]
+
+       ld2     {v6.2d, v7.2d} , [pA]           // For next round
+       add     pA, pA, #32
+
+       OP_rr   v24.2d, v0.2d, v10.2d[0]
+       OP_ii   v24.2d, v1.2d, v11.2d[0]
+       OP_ri   v25.2d, v0.2d, v11.2d[0]
+       OP_ir   v25.2d, v1.2d, v10.2d[0]
+
+       prfm    PLDL1KEEP, [pA, #512]
+
+       OP_rr   v26.2d, v2.2d, v10.2d[0]
+       OP_ii   v26.2d, v3.2d, v11.2d[0]
+       OP_ri   v27.2d, v2.2d, v11.2d[0]
+       OP_ir   v27.2d, v3.2d, v10.2d[0]
+
+       prfm    PLDL1KEEP, [pB, #512]
+
+       OP_rr   v28.2d, v0.2d, v10.2d[1]
+       OP_ii   v28.2d, v1.2d, v11.2d[1]
+       OP_ri   v29.2d, v0.2d, v11.2d[1]
+       OP_ir   v29.2d, v1.2d, v10.2d[1]
+
+       OP_rr   v30.2d, v2.2d, v10.2d[1]
+       OP_ii   v30.2d, v3.2d, v11.2d[1]
+       OP_ri   v31.2d, v2.2d, v11.2d[1]
+       OP_ir   v31.2d, v3.2d, v10.2d[1]
+.endm
+
+.macro KERNEL4x4_M2
+       OP_rr   v16.2d, v4.2d, v12.2d[0]
+       OP_ii   v16.2d, v5.2d, v13.2d[0]
+       OP_ri   v17.2d, v4.2d, v13.2d[0]
+       OP_ir   v17.2d, v5.2d, v12.2d[0]
+
+       ld2     {v8.2d, v9.2d}, [pB]            // For next round
+       add     pB, pB, #32
+
+       OP_rr   v18.2d, v6.2d, v12.2d[0]
+       OP_ii   v18.2d, v7.2d, v13.2d[0]
+       OP_ri   v19.2d, v6.2d, v13.2d[0]
+       OP_ir   v19.2d, v7.2d, v12.2d[0]
+
+       ld2     {v10.2d, v11.2d}, [pB]          // For next round
+       add     pB, pB, #32
+
+       OP_rr   v20.2d, v4.2d, v12.2d[1]
+       OP_ii   v20.2d, v5.2d, v13.2d[1]
+       OP_ri   v21.2d, v4.2d, v13.2d[1]
+       OP_ir   v21.2d, v5.2d, v12.2d[1]
+
+       ld2     {v0.2d, v1.2d}, [pA]            // For next round
+       add     pA, pA, #32
+
+       OP_rr   v22.2d, v6.2d, v12.2d[1]
+       OP_ii   v22.2d, v7.2d, v13.2d[1]
+       OP_ri   v23.2d, v6.2d, v13.2d[1]
+       OP_ir   v23.2d, v7.2d, v12.2d[1]
+
+       ld2     {v2.2d, v3.2d}, [pA]            // For next round
+       add     pA, pA, #32
+
+       OP_rr   v24.2d, v4.2d, v14.2d[0]
+       OP_ii   v24.2d, v5.2d, v15.2d[0]
+       OP_ri   v25.2d, v4.2d, v15.2d[0]
+       OP_ir   v25.2d, v5.2d, v14.2d[0]
+
+       prfm    PLDL1KEEP, [pA, #512]
+
+       OP_rr   v26.2d, v6.2d, v14.2d[0]
+       OP_ii   v26.2d, v7.2d, v15.2d[0]
+       OP_ri   v27.2d, v6.2d, v15.2d[0]
+       OP_ir   v27.2d, v7.2d, v14.2d[0]
+
+       prfm    PLDL1KEEP, [pB, #512]
+
+       OP_rr   v28.2d, v4.2d, v14.2d[1]
+       OP_ii   v28.2d, v5.2d, v15.2d[1]
+       OP_ri   v29.2d, v4.2d, v15.2d[1]
+       OP_ir   v29.2d, v5.2d, v14.2d[1]
+
+       OP_rr   v30.2d, v6.2d, v14.2d[1]
+       OP_ii   v30.2d, v7.2d, v15.2d[1]
+       OP_ri   v31.2d, v6.2d, v15.2d[1]
+       OP_ir   v31.2d, v7.2d, v14.2d[1]
+.endm
+
+.macro KERNEL4x4_E
+       OP_rr   v16.2d, v4.2d, v12.2d[0]
+       OP_ii   v16.2d, v5.2d, v13.2d[0]
+       OP_ri   v17.2d, v4.2d, v13.2d[0]
+       OP_ir   v17.2d, v5.2d, v12.2d[0]
+
+       OP_rr   v18.2d, v6.2d, v12.2d[0]
+       OP_ii   v18.2d, v7.2d, v13.2d[0]
+       OP_ri   v19.2d, v6.2d, v13.2d[0]
+       OP_ir   v19.2d, v7.2d, v12.2d[0]
+
+       OP_rr   v20.2d, v4.2d, v12.2d[1]
+       OP_ii   v20.2d, v5.2d, v13.2d[1]
+       OP_ri   v21.2d, v4.2d, v13.2d[1]
+       OP_ir   v21.2d, v5.2d, v12.2d[1]
+
+       OP_rr   v22.2d, v6.2d, v12.2d[1]
+       OP_ii   v22.2d, v7.2d, v13.2d[1]
+       OP_ri   v23.2d, v6.2d, v13.2d[1]
+       OP_ir   v23.2d, v7.2d, v12.2d[1]
+
+       OP_rr   v24.2d, v4.2d, v14.2d[0]
+       OP_ii   v24.2d, v5.2d, v15.2d[0]
+       OP_ri   v25.2d, v4.2d, v15.2d[0]
+       OP_ir   v25.2d, v5.2d, v14.2d[0]
+
+       OP_rr   v26.2d, v6.2d, v14.2d[0]
+       OP_ii   v26.2d, v7.2d, v15.2d[0]
+       OP_ri   v27.2d, v6.2d, v15.2d[0]
+       OP_ir   v27.2d, v7.2d, v14.2d[0]
+
+       OP_rr   v28.2d, v4.2d, v14.2d[1]
+       OP_ii   v28.2d, v5.2d, v15.2d[1]
+       OP_ri   v29.2d, v4.2d, v15.2d[1]
+       OP_ir   v29.2d, v5.2d, v14.2d[1]
+
+       OP_rr   v30.2d, v6.2d, v14.2d[1]
+       OP_ii   v30.2d, v7.2d, v15.2d[1]
+       OP_ri   v31.2d, v6.2d, v15.2d[1]
+       OP_ir   v31.2d, v7.2d, v14.2d[1]
+.endm
+
+.macro KERNEL4x4_SUB
+       ld2     {v8.2d, v9.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v10.2d, v11.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v0.2d, v1.2d}, [pA]
+       add     pA, pA, #32
+       ld2     {v2.2d, v3.2d}, [pA]
+       add     pA, pA, #32
+
+       OP_rr   v16.2d, v0.2d, v8.2d[0]
+       OP_ii   v16.2d, v1.2d, v9.2d[0]
+       OP_ri   v17.2d, v0.2d, v9.2d[0]
+       OP_ir   v17.2d, v1.2d, v8.2d[0]
+
+       OP_rr   v18.2d, v2.2d, v8.2d[0]
+       OP_ii   v18.2d, v3.2d, v9.2d[0]
+       OP_ri   v19.2d, v2.2d, v9.2d[0]
+       OP_ir   v19.2d, v3.2d, v8.2d[0]
+
+       OP_rr   v20.2d, v0.2d, v8.2d[1]
+       OP_ii   v20.2d, v1.2d, v9.2d[1]
+       OP_ri   v21.2d, v0.2d, v9.2d[1]
+       OP_ir   v21.2d, v1.2d, v8.2d[1]
+
+       OP_rr   v22.2d, v2.2d, v8.2d[1]
+       OP_ii   v22.2d, v3.2d, v9.2d[1]
+       OP_ri   v23.2d, v2.2d, v9.2d[1]
+       OP_ir   v23.2d, v3.2d, v8.2d[1]
+
+       OP_rr   v24.2d, v0.2d, v10.2d[0]
+       OP_ii   v24.2d, v1.2d, v11.2d[0]
+       OP_ri   v25.2d, v0.2d, v11.2d[0]
+       OP_ir   v25.2d, v1.2d, v10.2d[0]
+
+       OP_rr   v26.2d, v2.2d, v10.2d[0]
+       OP_ii   v26.2d, v3.2d, v11.2d[0]
+       OP_ri   v27.2d, v2.2d, v11.2d[0]
+       OP_ir   v27.2d, v3.2d, v10.2d[0]
+
+       OP_rr   v28.2d, v0.2d, v10.2d[1]
+       OP_ii   v28.2d, v1.2d, v11.2d[1]
+       OP_ri   v29.2d, v0.2d, v11.2d[1]
+       OP_ir   v29.2d, v1.2d, v10.2d[1]
+
+       OP_rr   v30.2d, v2.2d, v10.2d[1]
+       OP_ii   v30.2d, v3.2d, v11.2d[1]
+       OP_ri   v31.2d, v2.2d, v11.2d[1]
+       OP_ir   v31.2d, v3.2d, v10.2d[1]
+.endm
+
+.macro SAVE4x4
+       fmov    alpha0_R, alpha_save_R
+       fmov    alpha0_I, alpha_save_I
+       fmov    alpha1_R, alpha0_R
+       fmov    alpha1_I, alpha0_I
+
+       mov     pCRow1, pCRow0
+
+       ld2     {v0.2d, v1.2d}, [pCRow1]
+       fmla    v0.2d, v16.2d, alphaV0_R
+       fmls    v0.2d, v17.2d, alphaV0_I
+       fmla    v1.2d, v16.2d, alphaV1_I
+       fmla    v1.2d, v17.2d, alphaV1_R
+       st2     {v0.2d, v1.2d}, [pCRow1]
+       add     pCRow2, pCRow1, #32
+       ld2     {v2.2d, v3.2d}, [pCRow2]
+       fmla    v2.2d, v18.2d, alphaV0_R
+       fmls    v2.2d, v19.2d, alphaV0_I
+       fmla    v3.2d, v18.2d, alphaV1_I
+       fmla    v3.2d, v19.2d, alphaV1_R
+       st2     {v2.2d, v3.2d}, [pCRow2]
+
+       add     pCRow1, pCRow1, LDC
+       ld2     {v4.2d, v5.2d}, [pCRow1]
+       fmla    v4.2d, v20.2d, alphaV0_R
+       fmls    v4.2d, v21.2d, alphaV0_I
+       fmla    v5.2d, v20.2d, alphaV1_I
+       fmla    v5.2d, v21.2d, alphaV1_R
+       st2     {v4.2d, v5.2d}, [pCRow1]
+       add     pCRow2, pCRow1, #32
+       ld2     {v6.2d, v7.2d}, [pCRow2]
+       fmla    v6.2d, v22.2d, alphaV0_R
+       fmls    v6.2d, v23.2d, alphaV0_I
+       fmla    v7.2d, v22.2d, alphaV1_I
+       fmla    v7.2d, v23.2d, alphaV1_R
+       st2     {v6.2d, v7.2d}, [pCRow2]
+
+       add     pCRow1, pCRow1, LDC
+       ld2     {v0.2d, v1.2d}, [pCRow1]
+       fmla    v0.2d, v24.2d, alphaV0_R
+       fmls    v0.2d, v25.2d, alphaV0_I
+       fmla    v1.2d, v24.2d, alphaV1_I
+       fmla    v1.2d, v25.2d, alphaV1_R
+       st2     {v0.2d, v1.2d}, [pCRow1]
+       add     pCRow2, pCRow1, #32
+       ld2     {v2.2d, v3.2d}, [pCRow2]
+       fmla    v2.2d, v26.2d, alphaV0_R
+       fmls    v2.2d, v27.2d, alphaV0_I
+       fmla    v3.2d, v26.2d, alphaV1_I
+       fmla    v3.2d, v27.2d, alphaV1_R
+       st2     {v2.2d, v3.2d}, [pCRow2]
+
+       add     pCRow1, pCRow1, LDC
+
+       ld2     {v4.2d, v5.2d}, [pCRow1]
+       fmla    v4.2d, v28.2d, alphaV0_R
+       fmls    v4.2d, v29.2d, alphaV0_I
+       fmla    v5.2d, v28.2d, alphaV1_I
+       fmla    v5.2d, v29.2d, alphaV1_R
+       st2     {v4.2d, v5.2d}, [pCRow1]
+       add     pCRow2, pCRow1, #32
+       ld2     {v6.2d, v7.2d}, [pCRow2]
+       fmla    v6.2d, v30.2d, alphaV0_R
+       fmls    v6.2d, v31.2d, alphaV0_I
+       fmla    v7.2d, v30.2d, alphaV1_I
+       fmla    v7.2d, v31.2d, alphaV1_R
+       st2     {v6.2d, v7.2d}, [pCRow2]
+
+       add     pCRow0, pCRow0, #64
+.endm
+
+/******************************************************************************/
+
+.macro INIT2x4
+       fmov    d16, xzr
+       fmov    d17, xzr
+       fmov    d20, d16
+       fmov    d21, d17
+       fmov    d24, d16
+       fmov    d25, d17
+       fmov    d28, d16
+       fmov    d29, d17
+.endm
+
+.macro KERNEL2x4_SUB
+       ld2     {v8.2d, v9.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v10.2d, v11.2d}, [pB]
+       add     pB, pB, #32
+
+       ld2     {v0.2d, v1.2d}, [pA]
+       add     pA, pA, #32
+
+       OP_rr   v16.2d, v0.2d, v8.2d[0]
+       OP_ii   v16.2d, v1.2d, v9.2d[0]
+       OP_ri   v17.2d, v0.2d, v9.2d[0]
+       OP_ir   v17.2d, v1.2d, v8.2d[0]
+
+       OP_rr   v20.2d, v0.2d, v8.2d[1]
+       OP_ii   v20.2d, v1.2d, v9.2d[1]
+       OP_ri   v21.2d, v0.2d, v9.2d[1]
+       OP_ir   v21.2d, v1.2d, v8.2d[1]
+
+       OP_rr   v24.2d, v0.2d, v10.2d[0]
+       OP_ii   v24.2d, v1.2d, v11.2d[0]
+       OP_ri   v25.2d, v0.2d, v11.2d[0]
+       OP_ir   v25.2d, v1.2d, v10.2d[0]
+
+       OP_rr   v28.2d, v0.2d, v10.2d[1]
+       OP_ii   v28.2d, v1.2d, v11.2d[1]
+       OP_ri   v29.2d, v0.2d, v11.2d[1]
+       OP_ir   v29.2d, v1.2d, v10.2d[1]
+.endm
+
+.macro SAVE2x4
+       fmov    alpha0_R, alpha_save_R
+       fmov    alpha0_I, alpha_save_I
+       fmov    alpha1_R, alpha0_R
+       fmov    alpha1_I, alpha0_I
+
+       mov     pCRow1, pCRow0
+
+       ld2     {v0.2d, v1.2d}, [pCRow1]
+       fmla    v0.2d, v16.2d, alphaV0_R
+       fmls    v0.2d, v17.2d, alphaV0_I
+       fmla    v1.2d, v16.2d, alphaV1_I
+       fmla    v1.2d, v17.2d, alphaV1_R
+       st2     {v0.2d, v1.2d}, [pCRow1]
+
+       add     pCRow1, pCRow1, LDC
+
+       ld2     {v4.2d, v5.2d}, [pCRow1]
+       fmla    v4.2d, v20.2d, alphaV0_R
+       fmls    v4.2d, v21.2d, alphaV0_I
+       fmla    v5.2d, v20.2d, alphaV1_I
+       fmla    v5.2d, v21.2d, alphaV1_R
+       st2     {v4.2d, v5.2d}, [pCRow1]
+
+       add     pCRow1, pCRow1, LDC
+
+       ld2     {v0.2d, v1.2d}, [pCRow1]
+       fmla    v0.2d, v24.2d, alphaV0_R
+       fmls    v0.2d, v25.2d, alphaV0_I
+       fmla    v1.2d, v24.2d, alphaV1_I
+       fmla    v1.2d, v25.2d, alphaV1_R
+       st2     {v0.2d, v1.2d}, [pCRow1]
+
+       add     pCRow1, pCRow1, LDC
+
+       ld2     {v4.2d, v5.2d}, [pCRow1]
+       fmla    v4.2d, v28.2d, alphaV0_R
+       fmls    v4.2d, v29.2d, alphaV0_I
+       fmla    v5.2d, v28.2d, alphaV1_I
+       fmla    v5.2d, v29.2d, alphaV1_R
+       st2     {v4.2d, v5.2d}, [pCRow1]
+
+       add     pCRow0, pCRow0, #32
+.endm
+
+/******************************************************************************/
+
+.macro INIT1x4
+       fmov    d16, xzr
+       fmov    d17, xzr
+       fmov    d20, d16
+       fmov    d21, d17
+       fmov    d24, d16
+       fmov    d25, d17
+       fmov    d28, d16
+       fmov    d29, d17
+.endm
+
+.macro KERNEL1x4_SUB
+       ld2     {v8.2d, v9.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v10.2d, v11.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v0.d, v1.d}[0], [pA]
+       add     pA, pA, #16
+
+       OP_rr   d16, d0, v8.2d[0]
+       OP_ii   d16, d1, v9.2d[0]
+       OP_ri   d17, d0, v9.2d[0]
+       OP_ir   d17, d1, v8.2d[0]
+
+       OP_rr   d20, d0, v8.2d[1]
+       OP_ii   d20, d1, v9.2d[1]
+       OP_ri   d21, d0, v9.2d[1]
+       OP_ir   d21, d1, v8.2d[1]
+
+       OP_rr   d24, d0, v10.2d[0]
+       OP_ii   d24, d1, v11.2d[0]
+       OP_ri   d25, d0, v11.2d[0]
+       OP_ir   d25, d1, v10.2d[0]
+
+       OP_rr   d28, d0, v10.2d[1]
+       OP_ii   d28, d1, v11.2d[1]
+       OP_ri   d29, d0, v11.2d[1]
+       OP_ir   d29, d1, v10.2d[1]
+.endm
+
+.macro SAVE1x4
+       fmov    alpha0_R, alpha_save_R
+       fmov    alpha0_I, alpha_save_I
+       fmov    alpha1_R, alpha0_R
+       fmov    alpha1_I, alpha0_I
+
+       mov     pCRow1, pCRow0
+
+       ld2     {v0.d, v1.d}[0], [pCRow1]
+       fmla    d0, d16, alphaV0_R
+       fmls    d0, d17, alphaV0_I
+       fmla    d1, d16, alphaV1_I
+       fmla    d1, d17, alphaV1_R
+       st2     {v0.d, v1.d}[0], [pCRow1]
+
+       add     pCRow1, pCRow1, LDC
+
+       ld2     {v4.d, v5.d}[0], [pCRow1]
+       fmla    d4, d20, alphaV0_R
+       fmls    d4, d21, alphaV0_I
+       fmla    d5, d20, alphaV1_I
+       fmla    d5, d21, alphaV1_R
+       st2     {v4.d, v5.d}[0], [pCRow1]
+
+       add     pCRow1, pCRow1, LDC
+
+       ld2     {v0.d, v1.d}[0], [pCRow1]
+       fmla    d0, d24, alphaV0_R
+       fmls    d0, d25, alphaV0_I
+       fmla    d1, d24, alphaV1_I
+       fmla    d1, d25, alphaV1_R
+       st2     {v0.d, v1.d}[0], [pCRow1]
+
+       add     pCRow1, pCRow1, LDC
+
+       ld2     {v4.d, v5.d}[0], [pCRow1]
+       fmla    d4, d28, alphaV0_R
+       fmls    d4, d29, alphaV0_I
+       fmla    d5, d28, alphaV1_I
+       fmla    d5, d29, alphaV1_R
+       st2     {v4.d, v5.d}[0], [pCRow1]
+
+       add     pCRow0, pCRow0, #16
+.endm
+
+/******************************************************************************/
+
+.macro INIT4x2
+       fmov    d16, xzr
+       fmov    d17, xzr
+       fmov    d18, d16
+       fmov    d19, d17
+       fmov    d20, d16
+       fmov    d21, d17
+       fmov    d22, d16
+       fmov    d23, d17
+.endm
+
+.macro KERNEL4x2_SUB
+       ld2     {v8.2d, v9.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v0.2d, v1.2d}, [pA]
+       add     pA, pA, #32
+       ld2     {v2.2d, v3.2d}, [pA]
+       add     pA, pA, #32
+
+       OP_rr   v16.2d, v0.2d, v8.2d[0]
+       OP_ii   v16.2d, v1.2d, v9.2d[0]
+       OP_ri   v17.2d, v0.2d, v9.2d[0]
+       OP_ir   v17.2d, v1.2d, v8.2d[0]
+
+       OP_rr   v18.2d, v2.2d, v8.2d[0]
+       OP_ii   v18.2d, v3.2d, v9.2d[0]
+       OP_ri   v19.2d, v2.2d, v9.2d[0]
+       OP_ir   v19.2d, v3.2d, v8.2d[0]
+
+       OP_rr   v20.2d, v0.2d, v8.2d[1]
+       OP_ii   v20.2d, v1.2d, v9.2d[1]
+       OP_ri   v21.2d, v0.2d, v9.2d[1]
+       OP_ir   v21.2d, v1.2d, v8.2d[1]
+
+       OP_rr   v22.2d, v2.2d, v8.2d[1]
+       OP_ii   v22.2d, v3.2d, v9.2d[1]
+       OP_ri   v23.2d, v2.2d, v9.2d[1]
+       OP_ir   v23.2d, v3.2d, v8.2d[1]
+.endm
+
+.macro SAVE4x2
+       fmov    alpha0_R, alpha_save_R
+       fmov    alpha0_I, alpha_save_I
+       fmov    alpha1_R, alpha0_R
+       fmov    alpha1_I, alpha0_I
+
+       mov     pCRow1, pCRow0
+
+       ld2     {v0.2d, v1.2d}, [pCRow1]
+       fmla    v0.2d, v16.2d, alphaV0_R
+       fmls    v0.2d, v17.2d, alphaV0_I
+       fmla    v1.2d, v16.2d, alphaV1_I
+       fmla    v1.2d, v17.2d, alphaV1_R
+       st2     {v0.2d, v1.2d}, [pCRow1]
+       add     pCRow2, pCRow1, #32
+       ld2     {v2.2d, v3.2d}, [pCRow2]
+       fmla    v2.2d, v18.2d, alphaV0_R
+       fmls    v2.2d, v19.2d, alphaV0_I
+       fmla    v3.2d, v18.2d, alphaV1_I
+       fmla    v3.2d, v19.2d, alphaV1_R
+       st2     {v2.2d, v3.2d}, [pCRow2]
+
+       add     pCRow1, pCRow1, LDC
+
+       ld2     {v4.2d, v5.2d}, [pCRow1]
+       fmla    v4.2d, v20.2d, alphaV0_R
+       fmls    v4.2d, v21.2d, alphaV0_I
+       fmla    v5.2d, v20.2d, alphaV1_I
+       fmla    v5.2d, v21.2d, alphaV1_R
+       st2     {v4.2d, v5.2d}, [pCRow1]
+       add     pCRow2, pCRow1, #32
+       ld2     {v6.2d, v7.2d}, [pCRow2]
+       fmla    v6.2d, v22.2d, alphaV0_R
+       fmls    v6.2d, v23.2d, alphaV0_I
+       fmla    v7.2d, v22.2d, alphaV1_I
+       fmla    v7.2d, v23.2d, alphaV1_R
+       st2     {v6.2d, v7.2d}, [pCRow2]
+
+       add     pCRow0, pCRow0, #64
+.endm
+
+/******************************************************************************/
+
+.macro INIT2x2
+       fmov            d16, xzr
+       fmov            d17, xzr
+       fmov            d20, d16
+       fmov            d21, d17
+.endm
+
+.macro KERNEL2x2_SUB
+       ld2     {v8.2d, v9.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v0.2d, v1.2d}, [pA]
+       add     pA, pA, #32
+
+       OP_rr   v16.2d, v0.2d, v8.2d[0]
+       OP_ii   v16.2d, v1.2d, v9.2d[0]
+       OP_ri   v17.2d, v0.2d, v9.2d[0]
+       OP_ir   v17.2d, v1.2d, v8.2d[0]
+
+       OP_rr   v20.2d, v0.2d, v8.2d[1]
+       OP_ii   v20.2d, v1.2d, v9.2d[1]
+       OP_ri   v21.2d, v0.2d, v9.2d[1]
+       OP_ir   v21.2d, v1.2d, v8.2d[1]
+.endm
+
+.macro SAVE2x2
+       fmov    alpha0_R, alpha_save_R
+       fmov    alpha0_I, alpha_save_I
+       fmov    alpha1_R, alpha0_R
+       fmov    alpha1_I, alpha0_I
+
+       mov     pCRow1, pCRow0
+
+       ld2     {v0.2d, v1.2d}, [pCRow1]
+       fmla    v0.2d, v16.2d, alphaV0_R
+       fmls    v0.2d, v17.2d, alphaV0_I
+       fmla    v1.2d, v16.2d, alphaV1_I
+       fmla    v1.2d, v17.2d, alphaV1_R
+       st2     {v0.2d, v1.2d}, [pCRow1]
+
+       add     pCRow1, pCRow1, LDC
+
+       ld2     {v4.2d, v5.2d}, [pCRow1]
+       fmla    v4.2d, v20.2d, alphaV0_R
+       fmls    v4.2d, v21.2d, alphaV0_I
+       fmla    v5.2d, v20.2d, alphaV1_I
+       fmla    v5.2d, v21.2d, alphaV1_R
+       st2     {v4.2d, v5.2d}, [pCRow1]
+
+       add     pCRow0, pCRow0, #32
+.endm
+
+/******************************************************************************/
+
+.macro INIT1x2
+       fmov            d16, xzr
+       fmov            d17, xzr
+       fmov            d20, xzr
+       fmov            d21, xzr
+.endm
+
+.macro KERNEL1x2_SUB
+       ld2     {v8.2d, v9.2d}, [pB]
+       add     pB, pB, #32
+       ld2     {v0.d, v1.d}[0], [pA]
+       add     pA, pA, #16
+
+       OP_rr   d16, d0, v8.2d[0]
+       OP_ii   d16, d1, v9.2d[0]
+       OP_ri   d17, d0, v9.2d[0]
+       OP_ir   d17, d1, v8.2d[0]
+
+       OP_rr   d20, d0, v8.2d[1]
+       OP_ii   d20, d1, v9.2d[1]
+       OP_ri   d21, d0, v9.2d[1]
+       OP_ir   d21, d1, v8.2d[1]
+.endm
+
+.macro SAVE1x2
+       fmov    alpha0_R, alpha_save_R
+       fmov    alpha0_I, alpha_save_I
+       fmov    alpha1_R, alpha0_R
+       fmov    alpha1_I, alpha0_I
+
+       mov     pCRow1, pCRow0
+
+       ld2     {v0.d, v1.d}[0], [pCRow1]
+       fmla    d0, d16, alphaV0_R
+       fmls    d0, d17, alphaV0_I
+       fmla    d1, d16, alphaV1_I
+       fmla    d1, d17, alphaV1_R
+       st2     {v0.d, v1.d}[0], [pCRow1]
+
+       add     pCRow1, pCRow1, LDC
+
+       ld2     {v4.d, v5.d}[0], [pCRow1]
+       fmla    d4, d20, alphaV0_R
+       fmls    d4, d21, alphaV0_I
+       fmla    d5, d20, alphaV1_I
+       fmla    d5, d21, alphaV1_R
+       st2     {v4.d, v5.d}[0], [pCRow1]
+
+       add     pCRow0, pCRow0, #16
+.endm
+
+/******************************************************************************/
+
+.macro INIT4x1
+       fmov    d16, xzr
+       fmov    d17, d16
+       fmov    d18, d16
+       fmov    d19, d17
+.endm
+
+.macro KERNEL4x1_SUB
+       ld2     {v8.d, v9.d}[0], [pB]
+       add     pB, pB, #16
+       ld2     {v0.2d, v1.2d}, [pA]
+       add     pA, pA, #32
+       ld2     {v2.2d, v3.2d}, [pA]
+       add     pA, pA, #32
+
+       OP_rr   v16.2d, v0.2d, v8.d[0]
+       OP_ii   v16.2d, v1.2d, v9.d[0]
+       OP_ri   v17.2d, v0.2d, v9.d[0]
+       OP_ir   v17.2d, v1.2d, v8.d[0]
+
+       OP_rr   v18.2d, v2.2d, v8.d[0]
+       OP_ii   v18.2d, v3.2d, v9.d[0]
+       OP_ri   v19.2d, v2.2d, v9.d[0]
+       OP_ir   v19.2d, v3.2d, v8.d[0]
+.endm
+
+.macro SAVE4x1
+       fmov    alpha0_R, alpha_save_R
+       fmov    alpha0_I, alpha_save_I
+       fmov    alpha1_R, alpha0_R
+       fmov    alpha1_I, alpha0_I
+
+       mov     pCRow1, pCRow0
+
+       ld2     {v0.2d, v1.2d}, [pCRow1]
+       fmla    v0.2d, v16.2d, alphaV0_R
+       fmls    v0.2d, v17.2d, alphaV0_I
+       fmla    v1.2d, v16.2d, alphaV1_I
+       fmla    v1.2d, v17.2d, alphaV1_R
+       st2     {v0.2d, v1.2d}, [pCRow1]
+       add     pCRow2, pCRow1, #32
+       ld2     {v2.2d, v3.2d}, [pCRow2]
+       fmla    v2.2d, v18.2d, alphaV0_R
+       fmls    v2.2d, v19.2d, alphaV0_I
+       fmla    v3.2d, v18.2d, alphaV1_I
+       fmla    v3.2d, v19.2d, alphaV1_R
+       st2     {v2.2d, v3.2d}, [pCRow2]
+
+       add     pCRow0, pCRow0, #64
+.endm
+
+/******************************************************************************/
+
+.macro INIT2x1
+       fmov    d16, xzr
+       fmov    d17, xzr
+.endm
+
+.macro KERNEL2x1_SUB
+       ld2     {v8.d, v9.d}[0], [pB]
+       add     pB, pB, #16
+       ld2     {v0.2d, v1.2d}, [pA]
+       add     pA, pA, #32
+
+       OP_rr   v16.2d, v0.2d, v8.d[0]
+       OP_ii   v16.2d, v1.2d, v9.d[0]
+       OP_ri   v17.2d, v0.2d, v9.d[0]
+       OP_ir   v17.2d, v1.2d, v8.d[0]
+.endm
+
+.macro SAVE2x1
+       fmov    alpha0_R, alpha_save_R
+       fmov    alpha0_I, alpha_save_I
+       fmov    alpha1_R, alpha0_R
+       fmov    alpha1_I, alpha0_I
+
+       mov     pCRow1, pCRow0
+
+       ld2     {v0.2d, v1.2d}, [pCRow1]
+       fmla    v0.2d, v16.2d, alphaV0_R
+       fmls    v0.2d, v17.2d, alphaV0_I
+       fmla    v1.2d, v16.2d, alphaV1_I
+       fmla    v1.2d, v17.2d, alphaV1_R
+       st2     {v0.2d, v1.2d}, [pCRow1]
+
+       add     pCRow0, pCRow0, #32
+
+.endm
+
+/******************************************************************************/
+
+.macro INIT1x1
+       fmov    d16, xzr
+       fmov    d17, xzr
+.endm
+
+.macro KERNEL1x1_SUB
+       ld2     {v8.d, v9.d}[0], [pB]
+       add     pB, pB, #16
+       ld2     {v0.d, v1.d}[0], [pA]
+       add     pA, pA, #16
+
+       OP_rr   d16, d0, v8.d[0]
+       OP_ii   d16, d1, v9.d[0]
+       OP_ri   d17, d0, v9.d[0]
+       OP_ir   d17, d1, v8.d[0]
+.endm
+
+.macro SAVE1x1
+       fmov    alpha0_R, alpha_save_R
+       fmov    alpha0_I, alpha_save_I
+       fmov    alpha1_R, alpha0_R
+       fmov    alpha1_I, alpha0_I
+
+       mov     pCRow1, pCRow0
+
+       ld2     {v0.d, v1.d}[0], [pCRow1]
+       fmla    d0, d16, alphaV0_R
+       fmls    d0, d17, alphaV0_I
+       fmla    d1, d16, alphaV1_I
+       fmla    d1, d17, alphaV1_R
+       st2     {v0.d, v1.d}[0], [pCRow1]
+
+       add     pCRow0, pCRow0, #16
+.endm
+
+/*******************************************************************************
+* End of macro definitions
+*******************************************************************************/
+
+       PROLOGUE
+
+       .align 5
+       add     sp, sp, #-(11 * 16)
+       stp     d8, d9, [sp, #(0 * 16)]
+       stp     d10, d11, [sp, #(1 * 16)]
+       stp     d12, d13, [sp, #(2 * 16)]
+       stp     d14, d15, [sp, #(3 * 16)]
+       stp     d16, d17, [sp, #(4 * 16)]
+       stp     x18, x19, [sp, #(5 * 16)]
+       stp     x20, x21, [sp, #(6 * 16)]
+       stp     x22, x23, [sp, #(7 * 16)]
+       stp     x24, x25, [sp, #(8 * 16)]
+       stp     x26, x27, [sp, #(9 * 16)]
+       str     x28, [sp, #(10 * 16)]
+
+       fmov    alpha_save_R, d0
+       fmov    alpha_save_I, d1
+
+       lsl     LDC, LDC, #4                    // ldc = ldc * 2 * 8
+
+       mov     pB, origPB
+
+       mov     counterJ, origN
+       asr     counterJ, counterJ, #2          // J = J / 4
+       cmp     counterJ, #0
+       ble     zgemm_kernel_L2_BEGIN
+
+zgemm_kernel_L4_BEGIN:
+       mov     pCRow0, pC                      // pCRow0 = C
+       add     pC, pC, LDC, lsl #2
+       mov     pA, origPA                      // pA = start of A array
+
+zgemm_kernel_L4_M4_BEGIN:
+
+       mov     counterI, origM
+       asr     counterI, counterI, #2          // counterI = counterI / 4
+       cmp     counterI, #0
+       ble     zgemm_kernel_L4_M2_BEGIN
+
+zgemm_kernel_L4_M4_20:
+
+       mov     pB, origPB
+       asr     counterL , origK, #1            // L = K / 2
+       cmp     counterL , #2                   // is there at least 4 to do?
+       blt     zgemm_kernel_L4_M4_32
+
+       KERNEL4x4_I                             // do one in the K
+       KERNEL4x4_M2                            // do another in the K
+
+       subs    counterL, counterL, #2          // subtract 2
+       ble     zgemm_kernel_L4_M4_22a
+       .align 5
+
+zgemm_kernel_L4_M4_22:
+
+       KERNEL4x4_M1
+       KERNEL4x4_M2
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L4_M4_22
+
+
+zgemm_kernel_L4_M4_22a:
+
+       KERNEL4x4_M1
+       KERNEL4x4_E
+
+       b        zgemm_kernel_L4_M4_44
+
+zgemm_kernel_L4_M4_32:
+
+       tst     counterL, #1
+       ble     zgemm_kernel_L4_M4_40
+
+       KERNEL4x4_I
+       KERNEL4x4_E
+
+       b       zgemm_kernel_L4_M4_44
+
+
+zgemm_kernel_L4_M4_40:
+
+       INIT4x4
+
+zgemm_kernel_L4_M4_44:
+
+       ands    counterL , origK, #1
+       ble     zgemm_kernel_L4_M4_100
+
+zgemm_kernel_L4_M4_46:
+       KERNEL4x4_SUB
+
+zgemm_kernel_L4_M4_100:
+
+       SAVE4x4
+
+zgemm_kernel_L4_M4_END:
+       subs    counterI, counterI, #1
+       bne     zgemm_kernel_L4_M4_20
+
+zgemm_kernel_L4_M2_BEGIN:
+
+       mov     counterI, origM
+       tst     counterI , #3
+       ble     zgemm_kernel_L4_END
+
+       tst     counterI, #2                    // counterI = counterI / 2
+       ble     zgemm_kernel_L4_M1_BEGIN
+
+zgemm_kernel_L4_M2_20:
+
+       INIT2x4
+
+       mov     pB, origPB
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     zgemm_kernel_L4_M2_40
+
+zgemm_kernel_L4_M2_22:
+
+       KERNEL2x4_SUB
+       KERNEL2x4_SUB
+       KERNEL2x4_SUB
+       KERNEL2x4_SUB
+
+       KERNEL2x4_SUB
+       KERNEL2x4_SUB
+       KERNEL2x4_SUB
+       KERNEL2x4_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L4_M2_22
+
+
+zgemm_kernel_L4_M2_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     zgemm_kernel_L4_M2_100
+
+zgemm_kernel_L4_M2_42:
+
+       KERNEL2x4_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L4_M2_42
+
+zgemm_kernel_L4_M2_100:
+
+       SAVE2x4
+
+zgemm_kernel_L4_M2_END:
+
+
+zgemm_kernel_L4_M1_BEGIN:
+
+       tst     counterI, #1                    // counterI = counterI % 2
+       ble     zgemm_kernel_L4_END
+
+zgemm_kernel_L4_M1_20:
+
+       INIT1x4
+
+       mov     pB, origPB
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     zgemm_kernel_L4_M1_40
+
+zgemm_kernel_L4_M1_22:
+       KERNEL1x4_SUB
+       KERNEL1x4_SUB
+       KERNEL1x4_SUB
+       KERNEL1x4_SUB
+
+       KERNEL1x4_SUB
+       KERNEL1x4_SUB
+       KERNEL1x4_SUB
+       KERNEL1x4_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L4_M1_22
+
+
+zgemm_kernel_L4_M1_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     zgemm_kernel_L4_M1_100
+
+zgemm_kernel_L4_M1_42:
+
+       KERNEL1x4_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L4_M1_42
+
+zgemm_kernel_L4_M1_100:
+
+       SAVE1x4
+
+
+zgemm_kernel_L4_END:
+
+       lsl     temp, origK, #6
+       add     origPB, origPB, temp            // B = B + K * 4 * 8 * 2
+
+       subs    counterJ, counterJ , #1         // j--
+       bgt     zgemm_kernel_L4_BEGIN
+
+
+/******************************************************************************/
+
+zgemm_kernel_L2_BEGIN:   // less than 2 left in N direction
+
+       mov     counterJ , origN
+       tst     counterJ , #3
+       ble     zgemm_kernel_L999
+
+       tst     counterJ , #2
+       ble     zgemm_kernel_L1_BEGIN
+
+       mov     pCRow0, pC                      // pCRow0 = pC
+
+       add     pC,pC,LDC, lsl #1
+
+       mov     pA, origPA                      // pA = A
+
+
+
+zgemm_kernel_L2_M4_BEGIN:
+
+       mov     counterI, origM
+       asr     counterI, counterI, #2          // counterI = counterI / 4
+       cmp     counterI,#0
+       ble     zgemm_kernel_L2_M2_BEGIN
+
+zgemm_kernel_L2_M4_20:
+
+       INIT4x2
+
+       mov     pB, origPB
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL,#0
+       ble     zgemm_kernel_L2_M4_40
+       .align 5
+
+zgemm_kernel_L2_M4_22:
+       KERNEL4x2_SUB
+       KERNEL4x2_SUB
+       KERNEL4x2_SUB
+       KERNEL4x2_SUB
+
+       KERNEL4x2_SUB
+       KERNEL4x2_SUB
+       KERNEL4x2_SUB
+       KERNEL4x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L2_M4_22
+
+
+zgemm_kernel_L2_M4_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     zgemm_kernel_L2_M4_100
+
+zgemm_kernel_L2_M4_42:
+
+       KERNEL4x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L2_M4_42
+
+zgemm_kernel_L2_M4_100:
+
+       SAVE4x2
+
+zgemm_kernel_L2_M4_END:
+
+       subs    counterI, counterI, #1
+       bgt     zgemm_kernel_L2_M4_20
+
+
+zgemm_kernel_L2_M2_BEGIN:
+
+       mov     counterI, origM
+       tst     counterI , #3
+       ble     zgemm_kernel_L2_END
+
+       tst     counterI, #2                    // counterI = counterI / 2
+       ble     zgemm_kernel_L2_M1_BEGIN
+
+zgemm_kernel_L2_M2_20:
+
+       INIT2x2
+
+       mov     pB, origPB
+       asr     counterL , origK, #3            // counterL = counterL / 8
+        cmp    counterL,#0
+       ble     zgemm_kernel_L2_M2_40
+
+zgemm_kernel_L2_M2_22:
+
+       KERNEL2x2_SUB
+       KERNEL2x2_SUB
+       KERNEL2x2_SUB
+       KERNEL2x2_SUB
+
+       KERNEL2x2_SUB
+       KERNEL2x2_SUB
+       KERNEL2x2_SUB
+       KERNEL2x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L2_M2_22
+
+
+zgemm_kernel_L2_M2_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     zgemm_kernel_L2_M2_100
+
+zgemm_kernel_L2_M2_42:
+
+       KERNEL2x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L2_M2_42
+
+zgemm_kernel_L2_M2_100:
+
+       SAVE2x2
+
+zgemm_kernel_L2_M2_END:
+
+
+zgemm_kernel_L2_M1_BEGIN:
+
+       tst     counterI, #1                    // counterI = counterI % 2
+       ble     zgemm_kernel_L2_END
+
+zgemm_kernel_L2_M1_20:
+
+       INIT1x2
+
+       mov     pB, origPB
+       asr     counterL , origK, #3            // counterL = counterL / 8
+        cmp     counterL, #0
+       ble     zgemm_kernel_L2_M1_40
+
+zgemm_kernel_L2_M1_22:
+       KERNEL1x2_SUB
+       KERNEL1x2_SUB
+       KERNEL1x2_SUB
+       KERNEL1x2_SUB
+
+       KERNEL1x2_SUB
+       KERNEL1x2_SUB
+       KERNEL1x2_SUB
+       KERNEL1x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L2_M1_22
+
+
+zgemm_kernel_L2_M1_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     zgemm_kernel_L2_M1_100
+
+zgemm_kernel_L2_M1_42:
+
+       KERNEL1x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L2_M1_42
+
+zgemm_kernel_L2_M1_100:
+
+       SAVE1x2
+
+
+zgemm_kernel_L2_END:
+       lsl     temp, origK, #5
+       add     origPB, origPB, temp // B = B + K * 2 * 8 * 2
+
+/******************************************************************************/
+
+zgemm_kernel_L1_BEGIN:
+
+       mov     counterJ , origN
+       tst     counterJ , #1
+       ble     zgemm_kernel_L999 // done
+
+
+       mov     pCRow0, pC                      // pCRow0 = C
+       add     pC , pC , LDC                   // Update pC to point to next
+
+       mov     pA, origPA                      // pA = A
+
+
+
+zgemm_kernel_L1_M4_BEGIN:
+
+       mov     counterI, origM
+       asr     counterI, counterI, #2          // counterI = counterI / 4
+       cmp     counterI, #0
+       ble     zgemm_kernel_L1_M2_BEGIN
+
+zgemm_kernel_L1_M4_20:
+
+       INIT4x1
+
+       mov     pB, origPB
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     zgemm_kernel_L1_M4_40
+       .align 5
+
+zgemm_kernel_L1_M4_22:
+       KERNEL4x1_SUB
+       KERNEL4x1_SUB
+       KERNEL4x1_SUB
+       KERNEL4x1_SUB
+
+       KERNEL4x1_SUB
+       KERNEL4x1_SUB
+       KERNEL4x1_SUB
+       KERNEL4x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L1_M4_22
+
+
+zgemm_kernel_L1_M4_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     zgemm_kernel_L1_M4_100
+
+zgemm_kernel_L1_M4_42:
+
+       KERNEL4x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L1_M4_42
+
+zgemm_kernel_L1_M4_100:
+
+       SAVE4x1
+
+zgemm_kernel_L1_M4_END:
+
+       subs    counterI, counterI, #1
+       bgt     zgemm_kernel_L1_M4_20
+
+
+zgemm_kernel_L1_M2_BEGIN:
+
+       mov     counterI, origM
+       tst     counterI , #3
+       ble     zgemm_kernel_L1_END
+
+       tst     counterI, #2                    // counterI = counterI / 2
+       ble     zgemm_kernel_L1_M1_BEGIN
+
+zgemm_kernel_L1_M2_20:
+
+       INIT2x1
+
+       mov     pB, origPB
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     zgemm_kernel_L1_M2_40
+
+zgemm_kernel_L1_M2_22:
+
+       KERNEL2x1_SUB
+       KERNEL2x1_SUB
+       KERNEL2x1_SUB
+       KERNEL2x1_SUB
+
+       KERNEL2x1_SUB
+       KERNEL2x1_SUB
+       KERNEL2x1_SUB
+       KERNEL2x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L1_M2_22
+
+
+zgemm_kernel_L1_M2_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     zgemm_kernel_L1_M2_100
+
+zgemm_kernel_L1_M2_42:
+
+       KERNEL2x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L1_M2_42
+
+zgemm_kernel_L1_M2_100:
+
+       SAVE2x1
+
+zgemm_kernel_L1_M2_END:
+
+
+zgemm_kernel_L1_M1_BEGIN:
+
+       tst     counterI, #1                    // counterI = counterI % 2
+       ble     zgemm_kernel_L1_END
+
+zgemm_kernel_L1_M1_20:
+
+       INIT1x1
+
+       mov     pB, origPB
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     zgemm_kernel_L1_M1_40
+
+zgemm_kernel_L1_M1_22:
+       KERNEL1x1_SUB
+       KERNEL1x1_SUB
+       KERNEL1x1_SUB
+       KERNEL1x1_SUB
+
+       KERNEL1x1_SUB
+       KERNEL1x1_SUB
+       KERNEL1x1_SUB
+       KERNEL1x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L1_M1_22
+
+
+zgemm_kernel_L1_M1_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     zgemm_kernel_L1_M1_100
+
+zgemm_kernel_L1_M1_42:
+
+       KERNEL1x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     zgemm_kernel_L1_M1_42
+
+zgemm_kernel_L1_M1_100:
+
+       SAVE1x1
+
+
+zgemm_kernel_L1_END:
+
+
+zgemm_kernel_L999:
+       mov     x0, #0                          // set return value
+       ldp     d8, d9, [sp, #(0 * 16)]
+       ldp     d10, d11, [sp, #(1 * 16)]
+       ldp     d12, d13, [sp, #(2 * 16)]
+       ldp     d14, d15, [sp, #(3 * 16)]
+       ldp     d16, d17, [sp, #(4 * 16)]
+       ldp     x18, x19, [sp, #(5 * 16)]
+       ldp     x20, x21, [sp, #(6 * 16)]
+       ldp     x22, x23, [sp, #(7 * 16)]
+       ldp     x24, x25, [sp, #(8 * 16)]
+       ldp     x26, x27, [sp, #(9 * 16)]
+       ldr     x28, [sp, #(10 * 16)]
+       add     sp, sp, #(11*16)
+       ret
+
+       EPILOGUE
+
diff --git a/param.h b/param.h
index cedb6d2..2fe3b8a 100644 (file)
--- a/param.h
+++ b/param.h
@@ -2235,23 +2235,23 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 #define CGEMM_DEFAULT_UNROLL_M  4
 #define CGEMM_DEFAULT_UNROLL_N  4
 
-#define ZGEMM_DEFAULT_UNROLL_M  2
-#define ZGEMM_DEFAULT_UNROLL_N  2
+#define ZGEMM_DEFAULT_UNROLL_M  4
+#define ZGEMM_DEFAULT_UNROLL_N  4
 
 #define SGEMM_DEFAULT_P        128
 #define DGEMM_DEFAULT_P        256
 #define CGEMM_DEFAULT_P 256
-#define ZGEMM_DEFAULT_P 64
+#define ZGEMM_DEFAULT_P 128
 
 #define SGEMM_DEFAULT_Q 240
 #define DGEMM_DEFAULT_Q 1024
 #define CGEMM_DEFAULT_Q 1024
-#define ZGEMM_DEFAULT_Q 120
+#define ZGEMM_DEFAULT_Q 512
 
 #define SGEMM_DEFAULT_R 12288
 #define DGEMM_DEFAULT_R 4096
 #define CGEMM_DEFAULT_R 4096
-#define ZGEMM_DEFAULT_R 4096
+#define ZGEMM_DEFAULT_R 2048
 
 
 #define SYMV_P 16