VULCAN: Add optimized DGEMM implementation
authorAshwin Sekhar T K <ashwin.sekhar@cavium.com>
Mon, 9 Jan 2017 13:18:39 +0000 (18:48 +0530)
committerAshwin Sekhar T K <ashwin.sekhar@cavium.com>
Tue, 10 Jan 2017 09:31:37 +0000 (15:01 +0530)
driver/others/parameter.c
kernel/arm64/KERNEL.VULCAN
kernel/arm64/dgemm_kernel_8x4_vulcan.S [new file with mode: 0644]

index 60961b7..db45dfd 100644 (file)
@@ -730,12 +730,22 @@ void blas_set_parameter(void){
 
 #if defined(ARCH_ARM64)
 
+#if defined(VULCAN)
+unsigned long vulcan_pre_a;
+unsigned long vulcan_pre_b;
+unsigned long vulcan_pre_c;
+#endif
+
 void blas_set_parameter(void)
 {
 #if defined(VULCAN)
   dgemm_p = 160;
   dgemm_q = 128;
   dgemm_r = 4096;
+
+  vulcan_pre_a = 3584;
+  vulcan_pre_b = 512;
+  vulcan_pre_c = 128;
 #endif
 }
 
index 3372529..24567f5 100644 (file)
@@ -1,2 +1,4 @@
 include $(KERNELDIR)/KERNEL.CORTEXA57
 
+DGEMMKERNEL    =  dgemm_kernel_$(DGEMM_UNROLL_M)x$(DGEMM_UNROLL_N)_vulcan.S
+
diff --git a/kernel/arm64/dgemm_kernel_8x4_vulcan.S b/kernel/arm64/dgemm_kernel_8x4_vulcan.S
new file mode 100644 (file)
index 0000000..d00fbc7
--- /dev/null
@@ -0,0 +1,1817 @@
+/*******************************************************************************
+Copyright (c) 2016, 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 pCRow3         x15
+#define pA             x16
+#define alpha          x17
+
+#define alpha0         d10
+#define alphaV0                v10.d[0]
+
+#define A_PRE_SIZE     x20
+#define B_PRE_SIZE     x21
+#define C_PRE_SIZE     x22
+
+#define A_PRE_SIZE_64  x23
+#define B_PRE_SIZE_64  x24
+
+
+// 00 origM
+// 01 origN
+// 02 origK
+// 03 origPA
+// 04 origPB
+// 05 pC
+// 06 origLDC -> LDC
+// 07 temp
+// 08 counterL
+// 09 counterI
+// 10 counterJ
+// 11 pB
+// 12 pCRow0
+// 13 pCRow1
+// 14 pCRow2
+// 15 pCRow3
+// 16 pA
+// 17
+// 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 -> pA0_0, pA0_1
+//v01 pA0_2, pA0_3
+//v02 pA0_4, pA0_5
+//v03 pA0_6, pA0_7
+//v04 pA1_0, pA1_1
+//v05 pA1_2, pA1_3
+//v06 pA1_4, pA1_5
+//v07 pA1_6, pA1_7
+//v08 must save pB0_0
+//v09 must save pB0_1
+//v10 must save pB0_2 --> ALPHA0
+//v11 must save pB0_3
+//v12 must save pB1_0
+//v13 must save pB1_1
+//v14 must save pB1_2
+//v15 must save pB1_3
+//v16 must save C00, C01
+//v17 must save C02, C03
+//v18 C04, C05
+//v19 C06, C07
+//v20 C10, C11
+//v21 C12, C13
+//v22 C14, C15
+//v23 C16, C17
+//v24 C20, C21
+//v25 C22, C23
+//v26 C24, C25
+//v27 C26, C27
+//v28 C30, C31
+//v29 C32, C33
+//v30 C34, C35
+//v31 C36, C37
+
+/*******************************************************************************
+* Macro definitions
+*******************************************************************************/
+
+.macro INIT8x4
+       fmov            d16, xzr
+       fmov            d17, xzr
+       fmov            d18, d16
+       fmov            d19, xzr
+       fmov            d20, xzr
+       fmov            d21, d16
+       fmov            d22, d17
+       fmov            d23, d18
+       fmov            d24, xzr
+       fmov            d25, d16
+       fmov            d26, d17
+       fmov            d27, d18
+       fmov            d28, xzr
+       fmov            d29, d16
+       fmov            d30, d17
+       fmov            d31, d18
+.endm
+
+.macro KERNEL8x4_I
+       ldur    q0, [pA]
+       ldur    q1, [pA, #16]
+
+       ldur    q8, [pB]
+       ldur    q9, [pB, #16]
+
+       fmul    v16.2d, v0.2d, v8.d[0]
+       fmul    v20.2d, v0.2d, v8.d[1]
+
+       fmul    v17.2d, v1.2d, v8.d[0]
+       fmul    v21.2d, v1.2d, v8.d[1]
+
+       ldp     q2, q3, [pA, #32]
+       fmul    v24.2d, v0.2d, v9.d[0]
+       ldp     q4, q5, [pA, #64]
+       fmul    v28.2d, v0.2d, v9.d[1]
+
+       fmul    v25.2d, v1.2d, v9.d[0]
+       fmul    v29.2d, v1.2d, v9.d[1]
+
+       ldur    q12, [pB, #32]
+       ldur    q13, [pB, #48]
+
+       fmul    v18.2d, v2.2d, v8.d[0]
+       fmul    v22.2d, v2.2d, v8.d[1]
+
+       ldur    q6, [pA, #96]
+       ldur    q7, [pA, #112]
+
+       add     pB, pB, #64
+       add     pA, pA, #128
+
+       fmul    v26.2d, v2.2d, v9.d[0]
+       fmul    v30.2d, v2.2d, v9.d[1]
+
+       fmul    v19.2d, v3.2d, v8.d[0]
+       fmul    v27.2d, v3.2d, v9.d[0]
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       fmul    v31.2d, v3.2d, v9.d[1]
+       fmul    v23.2d, v3.2d, v8.d[1]
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE_64]
+.endm
+
+.macro KERNEL8x4_M1_M2
+       fmla    v16.2d, v0.2d, v8.d[0]
+       fmla    v20.2d, v0.2d, v8.d[1]
+
+       ldp     q4, q5, [pA]
+
+       fmla    v24.2d, v0.2d, v9.d[0]
+       fmla    v28.2d, v0.2d, v9.d[1]
+
+       ldp     q12, q13, [pB]
+
+       fmla    v17.2d, v1.2d, v8.d[0]
+       fmla    v25.2d, v1.2d, v9.d[0]
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE_64]
+
+       fmla    v21.2d, v1.2d, v8.d[1]
+       fmla    v29.2d, v1.2d, v9.d[1]
+
+       fmla    v18.2d, v2.2d, v8.d[0]
+       fmla    v22.2d, v2.2d, v8.d[1]
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       fmla    v26.2d, v2.2d, v9.d[0]
+       fmla    v30.2d, v2.2d, v9.d[1]
+       fmla    v19.2d, v3.2d, v8.d[0]
+       fmla    v23.2d, v3.2d, v8.d[1]
+
+       ldp     q6, q7, [pA, #32]
+
+       fmla    v27.2d, v3.2d, v9.d[0]
+       fmla    v31.2d, v3.2d, v9.d[1]
+
+       fmla    v16.2d, v4.2d, v12.d[0]
+       fmla    v20.2d, v4.2d, v12.d[1]
+       fmla    v24.2d, v4.2d, v13.d[0]
+       fmla    v28.2d, v4.2d, v13.d[1]
+
+       ldp     q0, q1, [pA, #64]
+
+       fmla    v17.2d, v5.2d, v12.d[0]
+       fmla    v25.2d, v5.2d, v13.d[0]
+
+       ldp     q8, q9, [pB, #32]
+       ldp     q2, q3, [pA, #96]
+
+       fmla    v21.2d, v5.2d, v12.d[1]
+       fmla    v29.2d, v5.2d, v13.d[1]
+
+       fmla    v18.2d, v6.2d, v12.d[0]
+       fmla    v22.2d, v6.2d, v12.d[1]
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+
+       fmla    v26.2d, v6.2d, v13.d[0]
+       fmla    v30.2d, v6.2d, v13.d[1]
+
+       fmla    v19.2d, v7.2d, v12.d[0]
+       fmla    v23.2d, v7.2d, v12.d[1]
+
+       add     pB, pB, #64
+       add     pA, pA, #128
+
+       fmla    v27.2d, v7.2d, v13.d[0]
+       fmla    v31.2d, v7.2d, v13.d[1]
+.endm
+
+
+.macro KERNEL8x4_M1
+       fmla    v16.2d, v0.2d, v8.d[0]
+       fmla    v20.2d, v0.2d, v8.d[1]
+
+       ldp     q4, q5, [pA], #32
+
+       fmla    v24.2d, v0.2d, v9.d[0]
+       fmla    v28.2d, v0.2d, v9.d[1]
+
+       ldp     q12, q13, [pB]
+       add     pB, pB, #32
+
+       fmla    v17.2d, v1.2d, v8.d[0]
+       fmla    v25.2d, v1.2d, v9.d[0]
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE_64]
+
+       fmla    v21.2d, v1.2d, v8.d[1]
+       fmla    v29.2d, v1.2d, v9.d[1]
+
+       fmla    v18.2d, v2.2d, v8.d[0]
+       fmla    v22.2d, v2.2d, v8.d[1]
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       fmla    v26.2d, v2.2d, v9.d[0]
+       fmla    v30.2d, v2.2d, v9.d[1]
+       fmla    v19.2d, v3.2d, v8.d[0]
+       fmla    v23.2d, v3.2d, v8.d[1]
+
+       ldp     q6, q7, [pA], #32
+
+       fmla    v27.2d, v3.2d, v9.d[0]
+       fmla    v31.2d, v3.2d, v9.d[1]
+.endm
+
+.macro KERNEL8x4_M2
+       fmla    v16.2d, v4.2d, v12.d[0]
+       fmla    v20.2d, v4.2d, v12.d[1]
+       fmla    v24.2d, v4.2d, v13.d[0]
+       fmla    v28.2d, v4.2d, v13.d[1]
+
+       ldp     q0, q1, [pA], #32
+
+       fmla    v17.2d, v5.2d, v12.d[0]
+       fmla    v25.2d, v5.2d, v13.d[0]
+
+       ldp     q8, q9, [pB]
+       add     pB, pB, #32
+
+       fmla    v21.2d, v5.2d, v12.d[1]
+       fmla    v29.2d, v5.2d, v13.d[1]
+
+       fmla    v18.2d, v6.2d, v12.d[0]
+       fmla    v22.2d, v6.2d, v12.d[1]
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+
+       fmla    v26.2d, v6.2d, v13.d[0]
+       fmla    v30.2d, v6.2d, v13.d[1]
+
+       fmla    v19.2d, v7.2d, v12.d[0]
+       fmla    v23.2d, v7.2d, v12.d[1]
+
+       ldp     q2, q3, [pA], #32
+
+       fmla    v27.2d, v7.2d, v13.d[0]
+       fmla    v31.2d, v7.2d, v13.d[1]
+.endm
+
+.macro KERNEL8x4_E
+       fmla    v16.2d, v4.2d, v12.d[0]
+       fmla    v20.2d, v4.2d, v12.d[1]
+       fmla    v24.2d, v4.2d, v13.d[0]
+       fmla    v28.2d, v4.2d, v13.d[1]
+
+       fmla    v17.2d, v5.2d, v12.d[0]
+       fmla    v25.2d, v5.2d, v13.d[0]
+       fmla    v21.2d, v5.2d, v12.d[1]
+       fmla    v29.2d, v5.2d, v13.d[1]
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+
+       fmla    v18.2d, v6.2d, v12.d[0]
+       fmla    v22.2d, v6.2d, v12.d[1]
+       fmla    v26.2d, v6.2d, v13.d[0]
+       fmla    v30.2d, v6.2d, v13.d[1]
+
+       fmla    v19.2d, v7.2d, v12.d[0]
+       fmla    v23.2d, v7.2d, v12.d[1]
+       fmla    v27.2d, v7.2d, v13.d[0]
+       fmla    v31.2d, v7.2d, v13.d[1]
+.endm
+
+.macro KERNEL8x4_SUB
+       ldp     q0, q1, [pA], #32
+
+       ldur    q8, [pB]
+
+       fmla    v16.2d, v0.2d, v8.d[0]
+       fmla    v20.2d, v0.2d, v8.d[1]
+
+       ldur    q9, [pB, #16]
+       add     pB, pB, #32
+
+       fmla    v17.2d, v1.2d, v8.d[0]
+       fmla    v21.2d, v1.2d, v8.d[1]
+
+       ldp     q2, q3, [pA], #32
+
+       fmla    v24.2d, v0.2d, v9.d[0]
+       fmla    v28.2d, v0.2d, v9.d[1]
+
+       fmla    v25.2d, v1.2d, v9.d[0]
+       fmla    v29.2d, v1.2d, v9.d[1]
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       fmla    v18.2d, v2.2d, v8.d[0]
+       fmla    v22.2d, v2.2d, v8.d[1]
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE_64]
+
+       fmla    v26.2d, v2.2d, v9.d[0]
+       fmla    v30.2d, v2.2d, v9.d[1]
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+
+       fmla    v19.2d, v3.2d, v8.d[0]
+       fmla    v27.2d, v3.2d, v9.d[0]
+
+       fmla    v31.2d, v3.2d, v9.d[1]
+       fmla    v23.2d, v3.2d, v8.d[1]
+.endm
+
+.macro SAVE8x4
+       fmov    alpha0, alpha
+       ldr     q0, [pCRow0]
+       ldr     q1, [pCRow0, #16]
+       ldr     q2, [pCRow0, #32]
+       ldr     q3, [pCRow0, #48]
+       ldr     q4, [pCRow1]
+       ldr     q5, [pCRow1, #16]
+       ldr     q6, [pCRow1, #32]
+       ldr     q7, [pCRow1, #48]
+
+       fmla    v0.2d, v16.2d, alphaV0
+       fmla    v1.2d, v17.2d, alphaV0
+       stp     q0, q1, [pCRow0]
+
+       fmla    v2.2d, v18.2d, alphaV0
+       fmla    v3.2d, v19.2d, alphaV0
+       stp     q2, q3, [pCRow0, #32]
+       ldr     q0, [pCRow2]
+       ldr     q1, [pCRow2, #16]
+
+       fmla    v4.2d, v20.2d, alphaV0
+       fmla    v5.2d, v21.2d, alphaV0
+       stp     q4, q5, [pCRow1]
+       ldr     q2, [pCRow2, #32]
+       ldr     q3, [pCRow2, #48]
+
+       fmla    v6.2d, v22.2d, alphaV0
+       fmla    v7.2d, v23.2d, alphaV0
+       stp     q6, q7, [pCRow1, #32]
+       ldr     q4, [pCRow3]
+       ldr     q5, [pCRow3, #16]
+
+       fmla    v0.2d, v24.2d, alphaV0
+       fmla    v1.2d, v25.2d, alphaV0
+       stp     q0, q1, [pCRow2]
+       ldr     q6, [pCRow3, #32]
+       ldr     q7, [pCRow3, #48]
+
+       fmla    v2.2d, v26.2d, alphaV0
+       fmla    v3.2d, v27.2d, alphaV0
+       stp     q2, q3, [pCRow2, #32]
+
+       fmla    v4.2d, v28.2d, alphaV0
+       fmla    v5.2d, v29.2d, alphaV0
+       stp     q4, q5, [pCRow3]
+
+       fmla    v6.2d, v30.2d, alphaV0
+       fmla    v7.2d, v31.2d, alphaV0
+       stp     q6, q7, [pCRow3, #32]
+
+       add     pCRow0, pCRow0, #64
+       add     pCRow1, pCRow1, #64
+       add     pCRow2, pCRow2, #64
+       add     pCRow3, pCRow3, #64
+.endm
+
+/******************************************************************************/
+
+.macro INIT4x4
+       fmov            d16, xzr
+       fmov            d17, d16
+       fmov            d20, d17
+       fmov            d21, d16
+       fmov            d24, d17
+       fmov            d25, d16
+       fmov            d28, d17
+       fmov            d29, d16
+.endm
+
+.macro KERNEL4x4_SUB
+       ld1     {v8.2d, v9.2d}, [pB]
+       add     pB, pB, #32
+       ld1     {v0.2d, v1.2d}, [pA]
+       add     pA, pA, #32
+
+       fmla    v16.2d, v0.2d, v8.d[0]
+       fmla    v29.2d, v1.2d, v9.d[1]
+
+       fmla    v20.2d, v0.2d, v8.d[1]
+       fmla    v25.2d, v1.2d, v9.d[0]
+
+       fmla    v24.2d, v0.2d, v9.d[0]
+       fmla    v21.2d, v1.2d, v8.d[1]
+
+       fmla    v28.2d, v0.2d, v9.d[1]
+       fmla    v17.2d, v1.2d, v8.d[0]
+.endm
+
+.macro SAVE4x4
+       fmov    alpha0, alpha
+
+       ld1     {v8.2d, v9.2d}, [pCRow0]
+       fmla    v8.2d, v16.2d, alphaV0
+       fmla    v9.2d, v17.2d, alphaV0
+       st1     {v8.2d, v9.2d}, [pCRow0]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #32
+
+       ld1     {v12.2d, v13.2d}, [pCRow1]
+       fmla    v12.2d, v20.2d, alphaV0
+       fmla    v13.2d, v21.2d, alphaV0
+       st1     {v12.2d, v13.2d}, [pCRow1]
+
+       prfm    PLDL2KEEP, [pCRow1, C_PRE_SIZE]
+       add     pCRow1, pCRow1, #32
+
+       ld1     {v8.2d, v9.2d}, [pCRow2]
+       fmla    v8.2d, v24.2d, alphaV0
+       fmla    v9.2d, v25.2d, alphaV0
+       st1     {v8.2d, v9.2d}, [pCRow2]
+
+       prfm    PLDL2KEEP, [pCRow2, C_PRE_SIZE]
+       add     pCRow2, pCRow2, #32
+
+       ld1     {v12.2d, v13.2d}, [pCRow3]
+       fmla    v12.2d, v28.2d, alphaV0
+       fmla    v13.2d, v29.2d, alphaV0
+       st1     {v12.2d, v13.2d}, [pCRow3]
+
+       prfm    PLDL2KEEP, [pCRow3, C_PRE_SIZE]
+       add     pCRow3, pCRow3, #32
+.endm
+
+/******************************************************************************/
+
+
+.macro INIT2x4
+       fmov            d16, xzr
+       fmov            d20, d16
+       fmov            d24, d20
+       fmov            d28, d16
+.endm
+
+.macro KERNEL2x4_SUB
+       ld1     {v8.2d, v9.2d}, [pB]
+       add     pB, pB, #32
+       ld1     {v0.2d}, [pA]
+       add     pA, pA, #16
+
+       fmla    v16.2d, v0.2d, v8.d[0]
+       fmla    v20.2d, v0.2d, v8.d[1]
+       fmla    v24.2d, v0.2d, v9.d[0]
+       fmla    v28.2d, v0.2d, v9.d[1]
+.endm
+
+.macro SAVE2x4
+       fmov    alpha0, alpha
+
+       ld1     {v8.2d}, [pCRow0]
+       fmla    v8.2d, v16.2d, alphaV0
+       st1     {v8.2d}, [pCRow0]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #16
+
+       ld1     {v12.2d}, [pCRow1]
+       fmla    v12.2d, v20.2d, alphaV0
+       st1     {v12.2d}, [pCRow1]
+
+       prfm    PLDL2KEEP, [pCRow1, C_PRE_SIZE]
+       add     pCRow1, pCRow1, #16
+
+       ld1     {v8.2d}, [pCRow2]
+       fmla    v8.2d, v24.2d, alphaV0
+       st1     {v8.2d}, [pCRow2]
+
+       prfm    PLDL2KEEP, [pCRow2, C_PRE_SIZE]
+       add     pCRow2, pCRow2, #16
+
+       ld1     {v12.2d}, [pCRow3]
+       fmla    v12.2d, v28.2d, alphaV0
+       st1     {v12.2d}, [pCRow3]
+
+       prfm    PLDL2KEEP, [pCRow3, C_PRE_SIZE]
+       add     pCRow3, pCRow3, #16
+.endm
+
+/******************************************************************************/
+
+.macro INIT1x4
+       fmov            d16, xzr
+       fmov            d20, d16
+.endm
+
+.macro KERNEL1x4_SUB
+       ldr     d0, [pA]
+       add     pA, pA, #8
+
+       ld1     {v8.2d, v9.2d}, [pB]
+       add     pB, pB, #32
+
+       fmla    v16.2d, v8.2d, v0.d[0]
+       fmla    v20.2d, v9.2d, v0.d[0]
+.endm
+
+.macro SAVE1x4
+       fmov    alpha0, alpha
+
+       ld1     {v8.d}[0], [pCRow0]
+       ld1     {v8.d}[1], [pCRow1]
+       fmla    v8.2d, v16.2d, alphaV0
+       st1     {v8.d}[0], [pCRow0]
+       st1     {v8.d}[1], [pCRow1]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #8
+       prfm    PLDL2KEEP, [pCRow1, C_PRE_SIZE]
+       add     pCRow1, pCRow1, #8
+
+       ld1     {v12.d}[0], [pCRow2]
+       ld1     {v12.d}[1], [pCRow3]
+       fmla    v12.2d, v20.2d, alphaV0
+       st1     {v12.d}[0], [pCRow2]
+       st1     {v12.d}[1], [pCRow3]
+
+       prfm    PLDL2KEEP, [pCRow2, C_PRE_SIZE]
+       add     pCRow2, pCRow2, #8
+       prfm    PLDL2KEEP, [pCRow3, C_PRE_SIZE]
+       add     pCRow3, pCRow3, #8
+.endm
+
+/******************************************************************************/
+
+.macro INIT8x2
+       fmov    d16, xzr
+       fmov    d17, xzr
+       fmov    d18, d16
+       fmov    d19, d17
+       fmov    d20, xzr
+       fmov    d21, d16
+       fmov    d22, d17
+       fmov    d23, d18
+.endm
+
+.macro KERNEL8x2_SUB
+       ld1     {v0.2d, v1.2d}, [pA]
+       add     pA, pA, #32
+       ld1     {v8.2d}, [pB]
+       add     pB, pB, #16
+       ld1     {v2.2d, v3.2d}, [pA]
+       add     pA, pA, #32
+
+       fmla    v16.2d, v0.2d, v8.d[0]
+       fmla    v17.2d, v1.2d, v8.d[0]
+       fmla    v18.2d, v2.2d, v8.d[0]
+       fmla    v19.2d, v3.2d, v8.d[0]
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       fmla    v20.2d, v0.2d, v8.d[1]
+       fmla    v21.2d, v1.2d, v8.d[1]
+       fmla    v22.2d, v2.2d, v8.d[1]
+       fmla    v23.2d, v3.2d, v8.d[1]
+.endm
+
+.macro SAVE8x2
+       fmov    alpha0, alpha
+
+       ld1     {v0.2d, v1.2d, v2.2d, v3.2d}, [pCRow0]
+       fmla    v0.2d, v16.2d, alphaV0
+       fmla    v1.2d, v17.2d, alphaV0
+       fmla    v2.2d, v18.2d, alphaV0
+       fmla    v3.2d, v19.2d, alphaV0
+       st1     {v0.2d, v1.2d, v2.2d, v3.2d}, [pCRow0]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #64
+
+       ld1     {v4.2d, v5.2d, v6.2d, v7.2d}, [pCRow1]
+       fmla    v4.2d, v20.2d, alphaV0
+       fmla    v5.2d, v21.2d, alphaV0
+       fmla    v6.2d, v22.2d, alphaV0
+       fmla    v7.2d, v23.2d, alphaV0
+       st1     {v4.2d, v5.2d, v6.2d, v7.2d}, [pCRow1]
+
+       prfm    PLDL2KEEP, [pCRow1, C_PRE_SIZE]
+       add     pCRow1, pCRow1, #64
+.endm
+
+/******************************************************************************/
+
+.macro INIT4x2
+       fmov    d16, xzr
+       fmov    d17, d16
+       fmov    d20, d17
+       fmov    d21, d16
+.endm
+
+.macro KERNEL4x2_SUB
+       ld1     {v8.2d}, [pB]
+       add     pB, pB, #16
+       ld1     {v0.2d, v1.2d}, [pA]
+       add     pA, pA, #32
+
+       fmla    v16.2d, v0.2d, v8.d[0]
+       fmla    v17.2d, v1.2d, v8.d[0]
+       fmla    v20.2d, v0.2d, v8.d[1]
+       fmla    v21.2d, v1.2d, v8.d[1]
+.endm
+
+.macro SAVE4x2
+       fmov    alpha0, alpha
+
+       ld1     {v8.2d, v9.2d}, [pCRow0]
+       fmla    v8.2d, v16.2d, alphaV0
+       fmla    v9.2d, v17.2d, alphaV0
+       st1     {v8.2d, v9.2d}, [pCRow0]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #32
+
+       ld1     {v12.2d, v13.2d}, [pCRow1]
+       fmla    v12.2d, v20.2d, alphaV0
+       fmla    v13.2d, v21.2d, alphaV0
+       st1     {v12.2d, v13.2d}, [pCRow1]
+
+       prfm    PLDL2KEEP, [pCRow1, C_PRE_SIZE]
+       add     pCRow1, pCRow1, #32
+.endm
+
+/******************************************************************************/
+
+.macro INIT2x2
+       fmov            d16, xzr
+       fmov            d20, d16
+.endm
+
+.macro KERNEL2x2_SUB
+       ld1     {v8.2d}, [pB]
+       add     pB, pB, #16
+
+       ld1     {v0.2d}, [pA]
+       add     pA, pA, #16
+
+       fmla    v16.2d, v0.2d, v8.d[0]
+       fmla    v20.2d, v0.2d, v8.d[1]
+.endm
+
+.macro SAVE2x2
+       fmov    alpha0, alpha
+
+       ld1     {v8.2d}, [pCRow0]
+       fmla    v8.2d, v16.2d, alphaV0
+       st1     {v8.2d}, [pCRow0]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #16
+
+       ld1     {v12.2d}, [pCRow1]
+       fmla    v12.2d, v20.2d, alphaV0
+       st1     {v12.2d}, [pCRow1]
+
+       prfm    PLDL2KEEP, [pCRow1, C_PRE_SIZE]
+       add     pCRow1, pCRow1, #16
+.endm
+
+/******************************************************************************/
+
+.macro INIT1x2
+       fmov            d16, xzr
+.endm
+
+.macro KERNEL1x2_SUB
+       ld1     {v8.2d} , [pB]
+       add     pB , pB, #16
+
+       ldr     d0 , [pA]
+       add     pA, pA, #8
+
+       fmla    v16.2d, v8.2d, v0.d[0]
+.endm
+
+.macro SAVE1x2
+       fmov    alpha0, alpha
+
+       ld1     {v8.d}[0], [pCRow0]
+       ld1     {v8.d}[1], [pCRow1]
+       fmla    v8.2d, v16.2d, alphaV0
+       st1     {v8.d}[0], [pCRow0]
+       st1     {v8.d}[1], [pCRow1]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #8
+       prfm    PLDL2KEEP, [pCRow1, C_PRE_SIZE]
+       add     pCRow1, pCRow1, #8
+.endm
+
+/******************************************************************************/
+
+.macro INIT8x1
+       fmov    d16, xzr
+       fmov    d17, xzr
+       fmov    d18, d16
+       fmov    d19, d17
+.endm
+
+.macro KERNEL8x1_SUB
+       ld1     {v0.2d, v1.2d}, [pA]
+       add     pA , pA, #32
+
+       ldr     d8, [pB]
+       add     pB , pB, #8
+
+       ld1     {v2.2d, v3.2d}, [pA]
+       add     pA, pA, #32
+
+       fmla    v16.2d, v0.2d, v8.d[0]
+       fmla    v17.2d, v1.2d, v8.d[0]
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       fmla    v18.2d, v2.2d, v8.d[0]
+       fmla    v19.2d, v3.2d, v8.d[0]
+.endm
+
+.macro SAVE8x1
+       fmov    alpha0, alpha
+
+       ld1     {v0.2d, v1.2d, v2.2d, v3.2d}, [pCRow0]
+       fmla    v0.2d, v16.2d, alphaV0
+       fmla    v1.2d, v17.2d, alphaV0
+       fmla    v2.2d, v18.2d, alphaV0
+       fmla    v3.2d, v19.2d, alphaV0
+       st1     {v0.2d, v1.2d, v2.2d, v3.2d}, [pCRow0]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #64
+.endm
+
+
+/******************************************************************************/
+
+.macro INIT4x1
+       fmov    d16, xzr
+       fmov    d17, d16
+.endm
+
+.macro KERNEL4x1_SUB
+       ldr     d8, [pB]
+       add     pB , pB, #8
+
+       ld1     {v0.2d, v1.2d}, [pA]
+       add     pA , pA, #32
+
+       fmla    v16.2d, v0.2d, v8.d[0]
+       fmla    v17.2d, v1.2d, v8.d[0]
+.endm
+
+.macro SAVE4x1
+       fmov    alpha0, alpha
+
+       ld1     {v8.2d, v9.2d}, [pCRow0]
+       fmla    v8.2d, v16.2d, alphaV0
+       fmla    v9.2d, v17.2d, alphaV0
+       st1     {v8.2d, v9.2d}, [pCRow0]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #32
+.endm
+
+
+/******************************************************************************/
+
+.macro INIT2x1
+       fmov            d16, xzr
+.endm
+
+.macro KERNEL2x1_SUB
+       ldr     d8, [pB]
+       add     pB , pB, #8
+
+       ld1     {v0.2d}, [pA]
+       add     pA , pA, #16
+
+       fmla    v16.2d, v0.2d, v8.d[0]
+.endm
+
+.macro SAVE2x1
+       fmov    alpha0, alpha
+
+       ld1     {v8.2d}, [pCRow0]
+       fmla    v8.2d, v16.2d, alphaV0
+       st1     {v8.2d}, [pCRow0]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #16
+.endm
+
+/******************************************************************************/
+
+.macro INIT1x1
+       fmov    d16, xzr
+.endm
+
+.macro KERNEL1x1_SUB
+       ldr     d8, [pB]
+       add     pB , pB, #8
+
+       ldr     d0, [pA]
+       add     pA , pA, #8
+
+       fmadd   d16, d0, d8, d16
+.endm
+
+.macro SAVE1x1
+       fmov    alpha0, alpha
+       ldr     d8, [pCRow0]
+       fmadd   d8, d16, alpha0, d8
+       str     d8, [pCRow0]
+
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       add     pCRow0, pCRow0, #8
+.endm
+
+.macro KERNEL8x4_M1_M2_x1
+       KERNEL8x4_M1_M2
+.endm
+
+.macro KERNEL8x4_M1_M2_x2
+       KERNEL8x4_M1_M2_x1
+       KERNEL8x4_M1_M2_x1
+.endm
+
+.macro KERNEL8x4_M1_M2_x4
+       KERNEL8x4_M1_M2_x2
+       KERNEL8x4_M1_M2_x2
+.endm
+
+.macro KERNEL8x4_M1_M2_x8
+       KERNEL8x4_M1_M2_x4
+       KERNEL8x4_M1_M2_x4
+.endm
+
+.macro KERNEL8x4_M1_M2_x16
+       KERNEL8x4_M1_M2_x8
+       KERNEL8x4_M1_M2_x8
+.endm
+
+.macro KERNEL8x4_M1_M2_x32
+       KERNEL8x4_M1_M2_x16
+       KERNEL8x4_M1_M2_x16
+.endm
+
+.macro KERNEL8x4_M1_M2_x64
+       KERNEL8x4_M1_M2_x32
+       KERNEL8x4_M1_M2_x32
+.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)]
+
+       prfm    PLDL1KEEP, [origPB]
+       prfm    PLDL1KEEP, [origPA]
+
+
+       ldr     A_PRE_SIZE, =vulcan_pre_a
+       ldr     A_PRE_SIZE, [A_PRE_SIZE]
+       ldr     B_PRE_SIZE, =vulcan_pre_b
+       ldr     B_PRE_SIZE, [B_PRE_SIZE]
+       ldr     C_PRE_SIZE, =vulcan_pre_c
+       ldr     C_PRE_SIZE, [C_PRE_SIZE]
+       add     A_PRE_SIZE_64, A_PRE_SIZE, #64
+       add     B_PRE_SIZE_64, B_PRE_SIZE, #64
+
+       fmov    alpha, d0
+
+       lsl     LDC, LDC, #3                    // ldc = ldc * 8
+
+       mov     pB, origPB
+
+       mov     counterJ, origN
+       asr     counterJ, counterJ, #2          // J = J / 4
+       cmp     counterJ, #0
+       ble     dgemm_kernel_L2_BEGIN
+
+/******************************************************************************/
+
+       .align 5
+dgemm_kernel_L4_BEGIN:
+       mov     pCRow0, pC
+       add     pCRow1, pCRow0, LDC
+       add     pCRow2, pCRow1, LDC
+       add     pCRow3, pCRow2, LDC
+
+       add     pC, pCRow3, LDC
+
+       mov     pA, origPA                      // pA = start of A array
+
+dgemm_kernel_L4_M8_BEGIN:
+
+       mov     counterI, origM
+       asr     counterI, counterI, #3          // counterI = counterI / 8
+       cmp     counterI, #0
+       ble     dgemm_kernel_L4_M4_BEGIN
+
+       .align 5
+dgemm_kernel_L4_M8_20:
+
+       mov     pB, origPB
+
+       asr     counterL , origK, #7            // L = K / 128
+       cmp     counterL , #2                   // is there at least 4 to do?
+       blt     dgemm_kernel_L4_M8_32
+
+       KERNEL8x4_I
+       KERNEL8x4_M2
+       KERNEL8x4_M1_M2_x32
+       KERNEL8x4_M1_M2_x16
+       KERNEL8x4_M1_M2_x8
+       KERNEL8x4_M1_M2_x4
+       KERNEL8x4_M1_M2_x2
+       KERNEL8x4_M1_M2_x1
+
+       subs    counterL, counterL, #2          // subtract 2
+       ble     dgemm_kernel_L4_M8_22a
+
+       .align 5
+dgemm_kernel_L4_M8_22:
+
+       KERNEL8x4_M1_M2_x64
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L4_M8_22
+
+       .align 5
+dgemm_kernel_L4_M8_22a:
+
+       KERNEL8x4_M1_M2_x32
+       KERNEL8x4_M1_M2_x16
+       KERNEL8x4_M1_M2_x8
+       KERNEL8x4_M1_M2_x4
+       KERNEL8x4_M1_M2_x2
+       KERNEL8x4_M1_M2_x1
+       KERNEL8x4_M1
+       KERNEL8x4_E
+
+       b        dgemm_kernel_L4_M8_44
+
+       .align 5
+dgemm_kernel_L4_M8_32:
+
+       tst     counterL, #1
+       ble     dgemm_kernel_L4_M8_40
+
+       KERNEL8x4_I
+       KERNEL8x4_M2
+       KERNEL8x4_M1_M2_x32
+       KERNEL8x4_M1_M2_x16
+       KERNEL8x4_M1_M2_x8
+       KERNEL8x4_M1_M2_x4
+       KERNEL8x4_M1_M2_x2
+       KERNEL8x4_M1
+       KERNEL8x4_E
+
+       b       dgemm_kernel_L4_M8_44
+
+dgemm_kernel_L4_M8_40:
+
+       INIT8x4
+
+dgemm_kernel_L4_M8_44:
+
+       ands    counterL , origK, #127
+       ble     dgemm_kernel_L4_M8_100
+
+       .align 5
+dgemm_kernel_L4_M8_46:
+
+       KERNEL8x4_SUB
+
+       subs    counterL, counterL, #1
+       bne     dgemm_kernel_L4_M8_46
+
+dgemm_kernel_L4_M8_100:
+       prfm    PLDL2KEEP, [pCRow0, C_PRE_SIZE]
+       prfm    PLDL2KEEP, [pCRow1, C_PRE_SIZE]
+       prfm    PLDL2KEEP, [pCRow2, C_PRE_SIZE]
+       prfm    PLDL2KEEP, [pCRow3, C_PRE_SIZE]
+       prfm    PLDL1KEEP, [pA]
+       prfm    PLDL1KEEP, [pA, #64]
+       prfm    PLDL1KEEP, [origPB]
+
+       SAVE8x4
+
+dgemm_kernel_L4_M8_END:
+       subs    counterI, counterI, #1
+       bne     dgemm_kernel_L4_M8_20
+
+dgemm_kernel_L4_M4_BEGIN:
+
+       mov     counterI, origM
+       tst     counterI , #7
+       ble     dgemm_kernel_L4_END
+
+       tst     counterI, #4
+       ble     dgemm_kernel_L4_M2_BEGIN
+
+dgemm_kernel_L4_M4_20:
+
+       INIT4x4
+
+       mov     pB, origPB
+
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     dgemm_kernel_L4_M4_40
+
+       .align 5
+dgemm_kernel_L4_M4_22:
+
+       KERNEL4x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL4x4_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL4x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL4x4_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       KERNEL4x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL4x4_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL4x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL4x4_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L4_M4_22
+
+dgemm_kernel_L4_M4_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L4_M4_100
+
+dgemm_kernel_L4_M4_42:
+
+       KERNEL4x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L4_M4_42
+
+dgemm_kernel_L4_M4_100:
+
+       SAVE4x4
+
+dgemm_kernel_L4_M4_END:
+
+dgemm_kernel_L4_M2_BEGIN:
+
+       mov     counterI, origM
+       tst     counterI , #3
+       ble     dgemm_kernel_L4_END
+
+       tst     counterI, #2                    // counterI = counterI / 2
+       ble     dgemm_kernel_L4_M1_BEGIN
+
+dgemm_kernel_L4_M2_20:
+
+       INIT2x4
+
+       mov     pB, origPB
+
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     dgemm_kernel_L4_M2_40
+
+       .align 5
+dgemm_kernel_L4_M2_22:
+
+       KERNEL2x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL2x4_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL2x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL2x4_SUB
+
+       KERNEL2x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL2x4_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL2x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL2x4_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L4_M2_22
+
+
+dgemm_kernel_L4_M2_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L4_M2_100
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE_64]
+dgemm_kernel_L4_M2_42:
+
+       KERNEL2x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L4_M2_42
+
+dgemm_kernel_L4_M2_100:
+
+       SAVE2x4
+
+dgemm_kernel_L4_M2_END:
+
+
+dgemm_kernel_L4_M1_BEGIN:
+
+       tst     counterI, #1                    // counterI = counterI % 2
+       ble     dgemm_kernel_L4_END
+
+dgemm_kernel_L4_M1_20:
+
+       INIT1x4
+
+       mov     pB, origPB
+
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     dgemm_kernel_L4_M1_40
+
+       .align 5
+dgemm_kernel_L4_M1_22:
+       KERNEL1x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL1x4_SUB
+       KERNEL1x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL1x4_SUB
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       KERNEL1x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL1x4_SUB
+       KERNEL1x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL1x4_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L4_M1_22
+
+
+dgemm_kernel_L4_M1_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L4_M1_100
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+dgemm_kernel_L4_M1_42:
+
+       KERNEL1x4_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L4_M1_42
+
+dgemm_kernel_L4_M1_100:
+
+       SAVE1x4
+
+dgemm_kernel_L4_END:
+
+       lsl     temp, origK, #5
+       add     origPB, origPB, temp            // B = B + K * 4 * 8
+
+       subs    counterJ, counterJ , #1         // j--
+       bgt     dgemm_kernel_L4_BEGIN
+
+
+/******************************************************************************/
+
+dgemm_kernel_L2_BEGIN:   // less than 2 left in N direction
+
+       mov     counterJ , origN
+       tst     counterJ , #3
+       ble     dgemm_kernel_L999   // error, N was less than 4?
+
+       tst     counterJ , #2
+       ble     dgemm_kernel_L1_BEGIN
+
+       mov     pCRow0, pC
+       add     pCRow1, pCRow0, LDC
+
+       add     pC, pCRow1, LDC
+
+       mov     pA, origPA                      // pA = A
+
+dgemm_kernel_L2_M8_BEGIN:
+
+       mov     counterI, origM
+       asr     counterI, counterI, #3          // counterI = counterI / 8
+       cmp     counterI, #0
+       ble     dgemm_kernel_L2_M4_BEGIN
+
+       .align 5
+dgemm_kernel_L2_M8_20:
+
+       INIT8x2
+
+       mov     pB, origPB
+
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL,#0
+       ble     dgemm_kernel_L2_M8_40
+
+       .align 5
+dgemm_kernel_L2_M8_22:
+       KERNEL8x2_SUB
+       KERNEL8x2_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL8x2_SUB
+       KERNEL8x2_SUB
+
+       KERNEL8x2_SUB
+       KERNEL8x2_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL8x2_SUB
+       KERNEL8x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L2_M8_22
+
+dgemm_kernel_L2_M8_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L2_M8_100
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE_64]
+dgemm_kernel_L2_M8_42:
+
+       KERNEL8x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L2_M8_42
+
+dgemm_kernel_L2_M8_100:
+
+       SAVE8x2
+
+dgemm_kernel_L2_M8_END:
+
+       subs    counterI, counterI, #1
+       bgt     dgemm_kernel_L2_M8_20
+
+dgemm_kernel_L2_M4_BEGIN:
+
+       mov     counterI, origM
+       tst     counterI , #7
+       ble     dgemm_kernel_L2_END
+
+       tst     counterI, #4                    // counterI = counterI / 2
+       ble     dgemm_kernel_L2_M2_BEGIN
+
+dgemm_kernel_L2_M4_20:
+
+       INIT4x2
+
+       mov     pB, origPB
+
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL,#0
+       ble     dgemm_kernel_L2_M4_40
+
+       .align 5
+dgemm_kernel_L2_M4_22:
+       KERNEL4x2_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL4x2_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL4x2_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL4x2_SUB
+
+       KERNEL4x2_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL4x2_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL4x2_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL4x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L2_M4_22
+
+
+dgemm_kernel_L2_M4_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L2_M4_100
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE_64]
+dgemm_kernel_L2_M4_42:
+
+       KERNEL4x2_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L2_M4_42
+
+dgemm_kernel_L2_M4_100:
+
+       SAVE4x2
+
+dgemm_kernel_L2_M4_END:
+
+
+dgemm_kernel_L2_M2_BEGIN:
+
+       mov     counterI, origM
+       tst     counterI , #3
+       ble     dgemm_kernel_L2_END
+
+       tst     counterI, #2                    // counterI = counterI / 2
+       ble     dgemm_kernel_L2_M1_BEGIN
+
+dgemm_kernel_L2_M2_20:
+
+       INIT2x2
+
+       mov     pB, origPB
+
+       asr     counterL , origK, #3            // counterL = counterL / 8
+        cmp    counterL,#0
+       ble     dgemm_kernel_L2_M2_40
+
+dgemm_kernel_L2_M2_22:
+
+       KERNEL2x2_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL2x2_SUB
+       KERNEL2x2_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL2x2_SUB
+
+       KERNEL2x2_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL2x2_SUB
+       KERNEL2x2_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL2x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L2_M2_22
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE_64]
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE_64]
+dgemm_kernel_L2_M2_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L2_M2_100
+
+dgemm_kernel_L2_M2_42:
+
+       KERNEL2x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L2_M2_42
+
+dgemm_kernel_L2_M2_100:
+
+       SAVE2x2
+
+dgemm_kernel_L2_M2_END:
+
+
+dgemm_kernel_L2_M1_BEGIN:
+
+       tst     counterI, #1                    // counterI = counterI % 2
+       ble     dgemm_kernel_L2_END
+
+dgemm_kernel_L2_M1_20:
+
+       INIT1x2
+
+       mov     pB, origPB
+
+       asr     counterL , origK, #3            // counterL = counterL / 8
+        cmp     counterL, #0
+       ble     dgemm_kernel_L2_M1_40
+
+dgemm_kernel_L2_M1_22:
+       KERNEL1x2_SUB
+       KERNEL1x2_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL1x2_SUB
+       KERNEL1x2_SUB
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       KERNEL1x2_SUB
+       KERNEL1x2_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL1x2_SUB
+       KERNEL1x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L2_M1_22
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE_64]
+dgemm_kernel_L2_M1_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L2_M1_100
+
+dgemm_kernel_L2_M1_42:
+
+       KERNEL1x2_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L2_M1_42
+
+dgemm_kernel_L2_M1_100:
+
+       SAVE1x2
+
+dgemm_kernel_L2_END:
+       add     origPB, origPB, origK, lsl #4   // B = B + K * 2 * 8
+
+/******************************************************************************/
+
+dgemm_kernel_L1_BEGIN:
+
+       mov     counterJ , origN
+       tst     counterJ , #1
+       ble     dgemm_kernel_L999 // done
+
+       mov     pCRow0, pC                      // pCRow0 = C
+       add     pC , pC , LDC                   // Update pC to point to next
+
+       mov     pA, origPA                      // pA = A
+
+dgemm_kernel_L1_M8_BEGIN:
+
+       mov     counterI, origM
+       asr     counterI, counterI, #3          // counterI = counterI / 8
+       cmp     counterI, #0
+       ble     dgemm_kernel_L1_M4_BEGIN
+
+       .align 5
+dgemm_kernel_L1_M8_20:
+
+       INIT8x1
+
+       mov     pB, origPB
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     dgemm_kernel_L1_M8_40
+
+       .align 5
+dgemm_kernel_L1_M8_22:
+       KERNEL8x1_SUB
+       KERNEL8x1_SUB
+       KERNEL8x1_SUB
+       KERNEL8x1_SUB
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+
+       KERNEL8x1_SUB
+       KERNEL8x1_SUB
+       KERNEL8x1_SUB
+       KERNEL8x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L1_M8_22
+
+
+dgemm_kernel_L1_M8_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L1_M8_100
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+dgemm_kernel_L1_M8_42:
+
+       KERNEL8x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L1_M8_42
+
+dgemm_kernel_L1_M8_100:
+
+       SAVE8x1
+
+dgemm_kernel_L1_M8_END:
+
+       subs    counterI, counterI, #1
+       bgt     dgemm_kernel_L1_M8_20
+
+dgemm_kernel_L1_M4_BEGIN:
+
+       mov     counterI, origM
+       tst     counterI , #7
+       ble     dgemm_kernel_L1_END
+
+       tst     counterI, #4                    // counterI = counterI / 2
+       ble     dgemm_kernel_L1_M2_BEGIN
+
+dgemm_kernel_L1_M4_20:
+
+       INIT4x1
+
+       mov     pB, origPB
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     dgemm_kernel_L1_M4_40
+
+       .align 5
+dgemm_kernel_L1_M4_22:
+       KERNEL4x1_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL4x1_SUB
+       KERNEL4x1_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL4x1_SUB
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+
+       KERNEL4x1_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL4x1_SUB
+       KERNEL4x1_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL4x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L1_M4_22
+
+
+dgemm_kernel_L1_M4_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L1_M4_100
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+dgemm_kernel_L1_M4_42:
+
+       KERNEL4x1_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L1_M4_42
+
+dgemm_kernel_L1_M4_100:
+
+       SAVE4x1
+
+dgemm_kernel_L1_M4_END:
+
+dgemm_kernel_L1_M2_BEGIN:
+
+       mov     counterI, origM
+       tst     counterI , #3
+       ble     dgemm_kernel_L1_END
+
+       tst     counterI, #2                    // counterI = counterI / 2
+       ble     dgemm_kernel_L1_M1_BEGIN
+
+dgemm_kernel_L1_M2_20:
+
+       INIT2x1
+
+       mov     pB, origPB
+
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     dgemm_kernel_L1_M2_40
+
+dgemm_kernel_L1_M2_22:
+
+       KERNEL2x1_SUB
+       KERNEL2x1_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL2x1_SUB
+       KERNEL2x1_SUB
+
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+
+       KERNEL2x1_SUB
+       KERNEL2x1_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL2x1_SUB
+       KERNEL2x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L1_M2_22
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE_64]
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+dgemm_kernel_L1_M2_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L1_M2_100
+
+dgemm_kernel_L1_M2_42:
+
+       KERNEL2x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L1_M2_42
+
+dgemm_kernel_L1_M2_100:
+
+       SAVE2x1
+
+dgemm_kernel_L1_M2_END:
+
+
+dgemm_kernel_L1_M1_BEGIN:
+
+       tst     counterI, #1                    // counterI = counterI % 2
+       ble     dgemm_kernel_L1_END
+
+dgemm_kernel_L1_M1_20:
+
+       INIT1x1
+
+       mov     pB, origPB
+
+       asr     counterL , origK, #3            // counterL = counterL / 8
+       cmp     counterL , #0
+       ble     dgemm_kernel_L1_M1_40
+
+
+dgemm_kernel_L1_M1_22:
+       KERNEL1x1_SUB
+       KERNEL1x1_SUB
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       KERNEL1x1_SUB
+       KERNEL1x1_SUB
+
+       KERNEL1x1_SUB
+       KERNEL1x1_SUB
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+       KERNEL1x1_SUB
+       KERNEL1x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L1_M1_22
+
+
+dgemm_kernel_L1_M1_40:
+
+       ands    counterL , origK, #7            // counterL = counterL % 8
+       ble     dgemm_kernel_L1_M1_100
+
+       prfm    PLDL1KEEP, [pA, A_PRE_SIZE]
+       prfm    PLDL1KEEP, [pB, B_PRE_SIZE]
+dgemm_kernel_L1_M1_42:
+
+       KERNEL1x1_SUB
+
+       subs    counterL, counterL, #1
+       bgt     dgemm_kernel_L1_M1_42
+
+dgemm_kernel_L1_M1_100:
+
+       SAVE1x1
+
+
+dgemm_kernel_L1_END:
+
+
+dgemm_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
+