text: /*
  
     BLIS
     An object-based framework for developing high-performance BLAS-like
     libraries.
  
     Copyright (C) 2014, The University of Texas at Austin
  
     Redistribution and use in source and binary forms, with or without
     modification, are permitted provided that the following conditions are
     met:
      - Redistributions of source code must retain the above copyright
        notice, this list of conditions and the following disclaimer.
      - 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.
      - Neither the name(s) of the copyright holder(s) 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 UNIVERSITY
     OF TEXAS 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.
  
  */
  
  #include "blis.h"
  #include <assert.h>
  
  #define BLIS_ASM_SYNTAX_INTEL
  #include "bli_x86_asm_macros.h"
  
  #define UNROLL_K 32
  
  #define SCATTER_PREFETCH_C 1
  
  #define PREFETCH_A_L2 0
  #define PREFETCH_B_L2 0
  #define L2_PREFETCH_DIST 64
  
  #define A_L1_PREFETCH_DIST 18
  #define B_L1_PREFETCH_DIST 18
  
  #define LOOP_ALIGN ALIGN16
  
  #define UPDATE_C_FOUR_ROWS(R1,R2,R3,R4) \
  \
      VMULPD(ZMM(R1), ZMM(R1), ZMM(0)) \
      VMULPD(ZMM(R2), ZMM(R2), ZMM(0)) \
      VMULPD(ZMM(R3), ZMM(R3), ZMM(0)) \
      VMULPD(ZMM(R4), ZMM(R4), ZMM(0)) \
      VFMADD231PD(ZMM(R1), ZMM(1), MEM(RCX      )) \
      VFMADD231PD(ZMM(R2), ZMM(1), MEM(RCX,RAX,1)) \
      VFMADD231PD(ZMM(R3), ZMM(1), MEM(RCX,RAX,2)) \
      VFMADD231PD(ZMM(R4), ZMM(1), MEM(RCX,RDI,1)) \
      VMOVUPD(MEM(RCX      ), ZMM(R1)) \
      VMOVUPD(MEM(RCX,RAX,1), ZMM(R2)) \
      VMOVUPD(MEM(RCX,RAX,2), ZMM(R3)) \
      VMOVUPD(MEM(RCX,RDI,1), ZMM(R4)) \
      LEA(RCX, MEM(RCX,RAX,4))
  
  #define UPDATE_C_BZ_FOUR_ROWS(R1,R2,R3,R4) \
  \
      VMULPD(ZMM(R1), ZMM(R1), ZMM(0)) \
      VMULPD(ZMM(R2), ZMM(R2), ZMM(0)) \
      VMULPD(ZMM(R3), ZMM(R3), ZMM(0)) \
      VMULPD(ZMM(R4), ZMM(R4), ZMM(0)) \
      VMOVUPD(MEM(RCX      ), ZMM(R1)) \
      VMOVUPD(MEM(RCX,RAX,1), ZMM(R2)) \
      VMOVUPD(MEM(RCX,RAX,2), ZMM(R3)) \
      VMOVUPD(MEM(RCX,RDI,1), ZMM(R4)) \
      LEA(RCX, MEM(RCX,RAX,4))
  
  #define UPDATE_C_ROW_SCATTERED(NUM) \
  \
      KXNORW(K(1), K(0), K(0)) \
      KXNORW(K(2), K(0), K(0)) \
      VMULPD(ZMM(NUM), ZMM(NUM), ZMM(0)) \
      VGATHERDPD(ZMM(3) MASK_K(1), MEM(RCX,YMM(2),8)) \
      VFMADD231PD(ZMM(NUM), ZMM(3), ZMM(1)) \
      VSCATTERDPD(MEM(RCX,YMM(2),8) MASK_K(2), ZMM(NUM)) \
      ADD(RCX, RAX)
  
  #define UPDATE_C_BZ_ROW_SCATTERED(NUM) \
  \
      KXNORW(K(1), K(0), K(0)) \
      VMULPD(ZMM(NUM), ZMM(NUM), ZMM(0)) \
      VSCATTERDPD(MEM(RCX,YMM(2),8) MASK_K(1), ZMM(NUM)) \
      ADD(RCX, RAX)
  
  #define PREFETCH_A_L1_1(n) PREFETCH(0, MEM(RAX,(A_L1_PREFETCH_DIST+n)*24*8))
  #define PREFETCH_A_L1_2(n) PREFETCH(0, MEM(RAX,(A_L1_PREFETCH_DIST+n)*24*8+64))
  #define PREFETCH_A_L1_3(n) PREFETCH(0, MEM(RAX,(A_L1_PREFETCH_DIST+n)*24*8+128))
  
  #if PREFETCH_A_L2
  #undef PREFETCH_A_L2
  
  #define PREFETCH_A_L2(n) \
  \
      PREFETCH(1, MEM(RAX,(L2_PREFETCH_DIST+n)*24*8)) \
      PREFETCH(1, MEM(RAX,(L2_PREFETCH_DIST+n)*24*8+64)) \
      PREFETCH(1, MEM(RAX,(L2_PREFETCH_DIST+n)*24*8+128))
  
  #else
  #undef PREFETCH_A_L2
  #define PREFETCH_A_L2(...)
  #endif
  
  #define PREFETCH_B_L1(n) PREFETCH(0, MEM(RBX,(B_L1_PREFETCH_DIST+n)*8*8))
  
  #if PREFETCH_B_L2
  #undef PREFETCH_B_L2
  
  #define PREFETCH_B_L2(n) PREFETCH(1, MEM(RBX,(L2_PREFETCH_DIST+n)*8*8))
  
  #else
  #undef PREFETCH_B_L2
  #define PREFETCH_B_L2(...)
  #endif
  
  #define PREFETCH_C_L1_1
  #define PREFETCH_C_L1_2
  #define PREFETCH_C_L1_3
  
  //
  // n: index in unrolled loop
  //
  // a: ZMM register to load into
  // b: ZMM register to read from
  //
  // ...: addressing for A, except for offset
  //
  #define SUBITER(n,a,b,...) \
  \
          PREFETCH_A_L2(n) \
  \
          VMOVAPD(ZMM(a), MEM(RBX,(n+1)*64)) \
          VFMADD231PD(ZMM( 8), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+ 0)*8)) \
          VFMADD231PD(ZMM( 9), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+ 1)*8)) \
          VFMADD231PD(ZMM(10), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+ 2)*8)) \
          PREFETCH_A_L1_1(n) \
          VFMADD231PD(ZMM(11), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+ 3)*8)) \
          VFMADD231PD(ZMM(12), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+ 4)*8)) \
          VFMADD231PD(ZMM(13), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+ 5)*8)) \
          PREFETCH_C_L1_1 \
          VFMADD231PD(ZMM(14), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+ 6)*8)) \
          VFMADD231PD(ZMM(15), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+ 7)*8)) \
          VFMADD231PD(ZMM(16), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+ 8)*8)) \
          PREFETCH_A_L1_2(n) \
          VFMADD231PD(ZMM(17), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+ 9)*8)) \
          VFMADD231PD(ZMM(18), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+10)*8)) \
          VFMADD231PD(ZMM(19), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+11)*8)) \
          PREFETCH_C_L1_2 \
          VFMADD231PD(ZMM(20), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+12)*8)) \
          VFMADD231PD(ZMM(21), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+13)*8)) \
          VFMADD231PD(ZMM(22), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+14)*8)) \
          PREFETCH_A_L1_3(n) \
          VFMADD231PD(ZMM(23), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+15)*8)) \
          VFMADD231PD(ZMM(24), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+16)*8)) \
          VFMADD231PD(ZMM(25), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+17)*8)) \
          PREFETCH_C_L1_3 \
          VFMADD231PD(ZMM(26), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+18)*8)) \
          VFMADD231PD(ZMM(27), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+19)*8)) \
          VFMADD231PD(ZMM(28), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+20)*8)) \
          PREFETCH_B_L1(n) \
          VFMADD231PD(ZMM(29), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+21)*8)) \
          VFMADD231PD(ZMM(30), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+22)*8)) \
          VFMADD231PD(ZMM(31), ZMM(b), MEM_1TO8(__VA_ARGS__,((n%%4)*24+23)*8)) \
          PREFETCH_B_L2(n)
  
  //This is an array used for the scatter/gather instructions.
  static int32_t offsets[32] __attribute__((aligned(64))) =
      { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,
       16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31};
  
  //#define MONITORS
  //#define LOOPMON
  void bli_dgemm_knl_asm_24x8
       (
         dim_t               k_,
         double*    restrict alpha,
         double*    restrict a,
         double*    restrict b,
         double*    restrict beta,
         double*    restrict c, inc_t rs_c_, inc_t cs_c_,
         auxinfo_t* restrict data,
         cntx_t*    restrict cntx
       )
  {
      (void)data;
      (void)cntx;
  
      const double * a_next = bli_auxinfo_next_a( data );
      const double * b_next = bli_auxinfo_next_b( data );
  
      const int32_t * offsetPtr = &offsets[0];
      const int64_t k = k_;
      const int64_t rs_c = rs_c_;
      const int64_t cs_c = cs_c_;
  
  #ifdef MONITORS
      int toph, topl, both, botl, midl, midh, mid2l, mid2h;
  #endif
  #ifdef LOOPMON
      int tlooph, tloopl, blooph, bloopl;
  #endif
  
      BEGIN_ASM()
  
  #ifdef MONITORS
      RDTSC
      MOV(VAR(topl), EAX)
      MOV(VAR(toph), EDX)
  #endif
  
      VPXORD(ZMM(8), ZMM(8), ZMM(8)) //clear out registers
      VMOVAPS(ZMM( 9), ZMM(8))   MOV(R12, VAR(rs_c))
      VMOVAPS(ZMM(10), ZMM(8))   MOV(RSI, VAR(k)) //loop index
      VMOVAPS(ZMM(11), ZMM(8))   MOV(RAX, VAR(a)) //load address of a
      VMOVAPS(ZMM(12), ZMM(8))   MOV(RBX, VAR(b)) //load address of b
      VMOVAPS(ZMM(13), ZMM(8))   MOV(RCX, VAR(c)) //load address of c
      VMOVAPS(ZMM(14), ZMM(8))   VMOVAPD(ZMM(0), MEM(RBX)) //pre-load b
      VMOVAPS(ZMM(15), ZMM(8))   MOV(RDI, VAR(offsetPtr))
      VMOVAPS(ZMM(16), ZMM(8))   VMOVAPS(ZMM(4), MEM(RDI))
  #if SCATTER_PREFETCH_C
      VMOVAPS(ZMM(17), ZMM(8))
      VMOVAPS(ZMM(18), ZMM(8))
      VMOVAPS(ZMM(19), ZMM(8))   VBROADCASTSS(ZMM(5), VAR(rs_c))
      VMOVAPS(ZMM(20), ZMM(8))
      VMOVAPS(ZMM(21), ZMM(8))   VPMULLD(ZMM(2), ZMM(4), ZMM(5))
      VMOVAPS(ZMM(22), ZMM(8))   VMOVAPS(YMM(3), MEM(RDI,64))
      VMOVAPS(ZMM(23), ZMM(8))   VPMULLD(YMM(3), YMM(3), YMM(5))
  #else
      VMOVAPS(ZMM(17), ZMM(8))
      VMOVAPS(ZMM(18), ZMM(8))   LEA(R13, MEM(R12,R12,2))
      VMOVAPS(ZMM(19), ZMM(8))   LEA(R14, MEM(R12,R12,4))
      VMOVAPS(ZMM(20), ZMM(8))   LEA(R15, MEM(R13,R12,4))
      VMOVAPS(ZMM(21), ZMM(8))
      VMOVAPS(ZMM(22), ZMM(8))
      VMOVAPS(ZMM(23), ZMM(8))
  #endif
      VMOVAPS(ZMM(24), ZMM(8))   VPSLLD(ZMM(4), ZMM(4), IMM(3))
      VMOVAPS(ZMM(25), ZMM(8))   MOV(R8, IMM(4*24*8))     //offset for 4 iterations
      VMOVAPS(ZMM(26), ZMM(8))   LEA(R9, MEM(R8,R8,2))    //*3
      VMOVAPS(ZMM(27), ZMM(8))   LEA(R10, MEM(R8,R8,4))   //*5
      VMOVAPS(ZMM(28), ZMM(8))   LEA(R11, MEM(R9,R8,4))   //*7
      VMOVAPS(ZMM(29), ZMM(8))
      VMOVAPS(ZMM(30), ZMM(8))
      VMOVAPS(ZMM(31), ZMM(8))
  
  #ifdef MONITORS
      RDTSC
      MOV(VAR(midl), EAX)
      MOV(VAR(midh), EDX)
  #endif
  
      SUB(RSI, IMM(32))
      JLE(TAIL)
  
      //prefetch C into L2
  #if SCATTER_PREFETCH_C
      ADD(RSI, IMM(24))
      KXNORW(K(1), K(0), K(0))
      KXNORW(K(2), K(0), K(0))
      VSCATTERPFDPS(1, MEM(RCX,ZMM(2),8) MASK_K(1))
      VSCATTERPFDPD(1, MEM(RCX,YMM(3),8) MASK_K(2))
  #else
      PREFETCHW1(MEM(RCX      ))
      SUBITER( 0,1,0,RAX      )
      PREFETCHW1(MEM(RCX,R12,1))
      SUBITER( 1,0,1,RAX      )
      PREFETCHW1(MEM(RCX,R12,2))
      SUBITER( 2,1,0,RAX      )
      PREFETCHW1(MEM(RCX,R13,1))
      SUBITER( 3,0,1,RAX      )
      PREFETCHW1(MEM(RCX,R12,4))
      SUBITER( 4,1,0,RAX,R8, 1)
      PREFETCHW1(MEM(RCX,R14,1))
      SUBITER( 5,0,1,RAX,R8, 1)
      PREFETCHW1(MEM(RCX,R13,2))
      SUBITER( 6,1,0,RAX,R8, 1)
      PREFETCHW1(MEM(RCX,R15,1))
      SUBITER( 7,0,1,RAX,R8, 1)
  
      LEA(RDX, MEM(RCX,R12,8))
  
      PREFETCHW1(MEM(RDX      ))
      SUBITER( 8,1,0,RAX,R8, 2)
      PREFETCHW1(MEM(RDX,R12,1))
      SUBITER( 9,0,1,RAX,R8, 2)
      PREFETCHW1(MEM(RDX,R12,2))
      SUBITER(10,1,0,RAX,R8, 2)
      PREFETCHW1(MEM(RDX,R13,1))
      SUBITER(11,0,1,RAX,R8, 2)
      PREFETCHW1(MEM(RDX,R12,4))
      SUBITER(12,1,0,RAX,R9, 1)
      PREFETCHW1(MEM(RDX,R14,1))
      SUBITER(13,0,1,RAX,R9, 1)
      PREFETCHW1(MEM(RDX,R13,2))
      SUBITER(14,1,0,RAX,R9, 1)
      PREFETCHW1(MEM(RDX,R15,1))
      SUBITER(15,0,1,RAX,R9, 1)
  
      LEA(RDI, MEM(RDX,R12,8))
  
      PREFETCHW1(MEM(RDI      ))
      SUBITER(16,1,0,RAX,R8, 4)
      PREFETCHW1(MEM(RDI,R12,1))
      SUBITER(17,0,1,RAX,R8, 4)
      PREFETCHW1(MEM(RDI,R12,2))
      SUBITER(18,1,0,RAX,R8, 4)
      PREFETCHW1(MEM(RDI,R13,1))
      SUBITER(19,0,1,RAX,R8, 4)
      PREFETCHW1(MEM(RDI,R12,4))
      SUBITER(20,1,0,RAX,R10,1)
      PREFETCHW1(MEM(RDI,R14,1))
      SUBITER(21,0,1,RAX,R10,1)
      PREFETCHW1(MEM(RDI,R13,2))
      SUBITER(22,1,0,RAX,R10,1)
      PREFETCHW1(MEM(RDI,R15,1))
      SUBITER(23,0,1,RAX,R10,1)
  
      ADD(RAX, IMM(24*24*8))
      ADD(RBX, IMM(24* 8*8))
  #endif
  
      MOV(RDI, RSI)
      AND(RDI, IMM(31))
      SAR(RSI, IMM(5))
      JZ(REM_1)
  
      LOOP_ALIGN
      LABEL(MAIN_LOOP)
  
          SUBITER( 0,1,0,RAX      )
          SUBITER( 1,0,1,RAX      )
          SUBITER( 2,1,0,RAX      )
          SUBITER( 3,0,1,RAX      )
          SUBITER( 4,1,0,RAX,R8, 1)
          SUBITER( 5,0,1,RAX,R8, 1)
          SUBITER( 6,1,0,RAX,R8, 1)
          SUBITER( 7,0,1,RAX,R8, 1)
          SUBITER( 8,1,0,RAX,R8, 2)
          SUBITER( 9,0,1,RAX,R8, 2)
          SUBITER(10,1,0,RAX,R8, 2)
          SUBITER(11,0,1,RAX,R8, 2)
          SUBITER(12,1,0,RAX,R9, 1)
          SUBITER(13,0,1,RAX,R9, 1)
          SUBITER(14,1,0,RAX,R9, 1)
          SUBITER(15,0,1,RAX,R9, 1)
          SUBITER(16,1,0,RAX,R8, 4)
          SUBITER(17,0,1,RAX,R8, 4)
          SUBITER(18,1,0,RAX,R8, 4)
          SUBITER(19,0,1,RAX,R8, 4)
          SUBITER(20,1,0,RAX,R10,1)
          SUBITER(21,0,1,RAX,R10,1)
          SUBITER(22,1,0,RAX,R10,1)
          SUBITER(23,0,1,RAX,R10,1)
          SUBITER(24,1,0,RAX,R9, 2)
          SUBITER(25,0,1,RAX,R9, 2)
          SUBITER(26,1,0,RAX,R9, 2)
          SUBITER(27,0,1,RAX,R9, 2)
          SUBITER(28,1,0,RAX,R11,1)
          SUBITER(29,0,1,RAX,R11,1)
          SUBITER(30,1,0,RAX,R11,1)
          SUBITER(31,0,1,RAX,R11,1)
  
          ADD(RAX, IMM(32*24*8))
          ADD(RBX, IMM(32* 8*8))
  
          SUB(RSI, IMM(1))
  
      JNZ(MAIN_LOOP)
  
      LABEL(REM_1)
      SAR(RDI)
      JNC(REM_2)
  
      SUBITER(0,1,0,RAX)
      VMOVAPD(ZMM(0), ZMM(1))
      ADD(RAX, IMM(24*8))
      ADD(RBX, IMM( 8*8))
  
      LABEL(REM_2)
      SAR(RDI)
      JNC(REM_4)
  
      SUBITER(0,1,0,RAX)
      SUBITER(1,0,1,RAX)
      ADD(RAX, IMM(2*24*8))
      ADD(RBX, IMM(2* 8*8))
  
      LABEL(REM_4)
      SAR(RDI)
      JNC(REM_8)
  
      SUBITER(0,1,0,RAX)
      SUBITER(1,0,1,RAX)
      SUBITER(2,1,0,RAX)
      SUBITER(3,0,1,RAX)
      ADD(RAX, IMM(4*24*8))
      ADD(RBX, IMM(4* 8*8))
  
      LABEL(REM_8)
      SAR(RDI)
      JNC(REM_16)
  
      SUBITER(0,1,0,RAX     )
      SUBITER(1,0,1,RAX     )
      SUBITER(2,1,0,RAX     )
      SUBITER(3,0,1,RAX     )
      SUBITER(4,1,0,RAX,R8,1)
      SUBITER(5,0,1,RAX,R8,1)
      SUBITER(6,1,0,RAX,R8,1)
      SUBITER(7,0,1,RAX,R8,1)
      ADD(RAX, IMM(8*24*8))
      ADD(RBX, IMM(8* 8*8))
  
      LABEL(REM_16)
      SAR(RDI)
      JNC(AFTER_LOOP)
  
      SUBITER( 0,1,0,RAX      )
      SUBITER( 1,0,1,RAX      )
      SUBITER( 2,1,0,RAX      )
      SUBITER( 3,0,1,RAX      )
      SUBITER( 4,1,0,RAX,R8, 1)
      SUBITER( 5,0,1,RAX,R8, 1)
      SUBITER( 6,1,0,RAX,R8, 1)
      SUBITER( 7,0,1,RAX,R8, 1)
      SUBITER( 8,1,0,RAX,R8, 2)
      SUBITER( 9,0,1,RAX,R8, 2)
      SUBITER(10,1,0,RAX,R8, 2)
      SUBITER(11,0,1,RAX,R8, 2)
      SUBITER(12,1,0,RAX,R9, 1)
      SUBITER(13,0,1,RAX,R9, 1)
      SUBITER(14,1,0,RAX,R9, 1)
      SUBITER(15,0,1,RAX,R9, 1)
      ADD(RAX, IMM(16*24*8))
      ADD(RBX, IMM(16* 8*8))
  
      LABEL(AFTER_LOOP)
  
      //prefetch C into L1
  #if SCATTER_PREFETCH_C
      KXNORW(K(1), K(0), K(0))
      KXNORW(K(2), K(0), K(0))
      VSCATTERPFDPS(0, MEM(RCX,ZMM(2),8) MASK_K(1))
      VSCATTERPFDPD(0, MEM(RCX,YMM(3),8) MASK_K(2))
  
      SUBITER(0,1,0,RAX     )
      SUBITER(1,0,1,RAX     )
      SUBITER(2,1,0,RAX     )
      SUBITER(3,0,1,RAX     )
      SUBITER(4,1,0,RAX,R8,1)
      SUBITER(5,0,1,RAX,R8,1)
      SUBITER(6,1,0,RAX,R8,1)
      SUBITER(7,0,1,RAX,R8,1)
  #else
  
      LEA(RDX, MEM(RCX,R12,8))
      LEA(RDI, MEM(RDX,R12,8))
  
  #undef PREFETCH_C_L1_1
  #undef PREFETCH_C_L1_2
  #undef PREFETCH_C_L1_3
  #define PREFETCH_C_L1_1 PREFETCHW0(MEM(RCX      ))
  #define PREFETCH_C_L1_2 PREFETCHW0(MEM(RCX,R12,1))
  #define PREFETCH_C_L1_3 PREFETCHW0(MEM(RCX,R12,2))
      SUBITER(0,1,0,RAX     )
  #undef PREFETCH_C_L1_1
  #undef PREFETCH_C_L1_2
  #undef PREFETCH_C_L1_3
  #define PREFETCH_C_L1_1 PREFETCHW0(MEM(RCX,R13,1))
  #define PREFETCH_C_L1_2 PREFETCHW0(MEM(RCX,R12,4))
  #define PREFETCH_C_L1_3 PREFETCHW0(MEM(RCX,R14,1))
      SUBITER(1,0,1,RAX     )
  #undef PREFETCH_C_L1_1
  #undef PREFETCH_C_L1_2
  #undef PREFETCH_C_L1_3
  #define PREFETCH_C_L1_1 PREFETCHW0(MEM(RCX,R13,2))
  #define PREFETCH_C_L1_2 PREFETCHW0(MEM(RCX,R15,1))
  #define PREFETCH_C_L1_3 PREFETCHW0(MEM(RDX      ))
      SUBITER(2,1,0,RAX     )
  #undef PREFETCH_C_L1_1
  #undef PREFETCH_C_L1_2
  #undef PREFETCH_C_L1_3
  #define PREFETCH_C_L1_1 PREFETCHW0(MEM(RDX,R12,1))
  #define PREFETCH_C_L1_2 PREFETCHW0(MEM(RDX,R12,2))
  #define PREFETCH_C_L1_3 PREFETCHW0(MEM(RDX,R13,1))
      SUBITER(3,0,1,RAX     )
  #undef PREFETCH_C_L1_1
  #undef PREFETCH_C_L1_2
  #undef PREFETCH_C_L1_3
  #define PREFETCH_C_L1_1 PREFETCHW0(MEM(RDX,R12,4))
  #define PREFETCH_C_L1_2 PREFETCHW0(MEM(RDX,R14,1))
  #define PREFETCH_C_L1_3 PREFETCHW0(MEM(RDX,R13,2))
      SUBITER(4,1,0,RAX,R8,1)
  #undef PREFETCH_C_L1_1
  #undef PREFETCH_C_L1_2
  #undef PREFETCH_C_L1_3
  #define PREFETCH_C_L1_1 PREFETCHW0(MEM(RDX,R15,1))
  #define PREFETCH_C_L1_2 PREFETCHW0(MEM(RDI      ))
  #define PREFETCH_C_L1_3 PREFETCHW0(MEM(RDI,R12,1))
      SUBITER(5,0,1,RAX,R8,1)
  #undef PREFETCH_C_L1_1
  #undef PREFETCH_C_L1_2
  #undef PREFETCH_C_L1_3
  #define PREFETCH_C_L1_1 PREFETCHW0(MEM(RDI,R12,2))
  #define PREFETCH_C_L1_2 PREFETCHW0(MEM(RDI,R13,1))
  #define PREFETCH_C_L1_3 PREFETCHW0(MEM(RDI,R12,4))
      SUBITER(6,1,0,RAX,R8,1)
  #undef PREFETCH_C_L1_1
  #undef PREFETCH_C_L1_2
  #undef PREFETCH_C_L1_3
  #define PREFETCH_C_L1_1 PREFETCHW0(MEM(RDI,R14,1))
  #define PREFETCH_C_L1_2 PREFETCHW0(MEM(RDI,R13,2))
  #define PREFETCH_C_L1_3 PREFETCHW0(MEM(RDI,R15,1))
      SUBITER(7,0,1,RAX,R8,1)
  #endif
  
      JMP(POSTACCUM)
  
      LABEL(TAIL)
  
      MOV(RDX, RCX)
      ADD(RSI, IMM(32))
      JZ(POSTACCUM)
  
      LABEL(TAIL_LOOP)
  
          PREFETCHW0(MEM(RDX))
          ADD(RDX, R12)
  
          SUBITER(0,1,0,RAX)
          VMOVAPD(ZMM(0), ZMM(1))
          ADD(RAX, IMM(24*8))
          ADD(RBX, IMM( 8*8))
  
          SUB(RSI, IMM(1))
  
      JNZ(TAIL_LOOP)
  
      LABEL(POSTACCUM)
  
  #ifdef MONITORS
      RDTSC
      MOV(VAR(mid2l), EAX)
      MOV(VAR(mid2h), EDX)
  #endif
  
      MOV(RAX, VAR(alpha))
      MOV(RBX, VAR(beta))
      VBROADCASTSD(ZMM(0), MEM(RAX))
      VBROADCASTSD(ZMM(1), MEM(RBX))
  
      // Check if C is row stride. If not, jump to the slow scattered update
      MOV(RAX, VAR(rs_c))
      LEA(RAX, MEM(,RAX,8))
      MOV(RBX, VAR(cs_c))
      LEA(RDI, MEM(RAX,RAX,2))
      CMP(RBX, IMM(1))
      JNE(SCATTEREDUPDATE)
  
      VMOVQ(RDX, XMM(1))
      SAL(RDX) //shift out sign bit
      JZ(COLSTORBZ)
  
      UPDATE_C_FOUR_ROWS( 8, 9,10,11)
      UPDATE_C_FOUR_ROWS(12,13,14,15)
      UPDATE_C_FOUR_ROWS(16,17,18,19)
      UPDATE_C_FOUR_ROWS(20,21,22,23)
      UPDATE_C_FOUR_ROWS(24,25,26,27)
      UPDATE_C_FOUR_ROWS(28,29,30,31)
  
      JMP(END)
  
      LABEL(COLSTORBZ)
  
      UPDATE_C_BZ_FOUR_ROWS( 8, 9,10,11)
      UPDATE_C_BZ_FOUR_ROWS(12,13,14,15)
      UPDATE_C_BZ_FOUR_ROWS(16,17,18,19)
      UPDATE_C_BZ_FOUR_ROWS(20,21,22,23)
      UPDATE_C_BZ_FOUR_ROWS(24,25,26,27)
      UPDATE_C_BZ_FOUR_ROWS(28,29,30,31)
  
      JMP(END)
  
      LABEL(SCATTEREDUPDATE)
  
      MOV(RDI, VAR(offsetPtr))
      VMOVAPS(ZMM(2), MEM(RDI))
      /* Note that this ignores the upper 32 bits in cs_c */
      VPBROADCASTD(ZMM(3), EBX)
      VPMULLD(ZMM(2), ZMM(3), ZMM(2))
  
      VMOVQ(RDX, XMM(1))
      SAL(RDX) //shift out sign bit
      JZ(SCATTERBZ)
  
      UPDATE_C_ROW_SCATTERED( 8)
      UPDATE_C_ROW_SCATTERED( 9)
      UPDATE_C_ROW_SCATTERED(10)
      UPDATE_C_ROW_SCATTERED(11)
      UPDATE_C_ROW_SCATTERED(12)
      UPDATE_C_ROW_SCATTERED(13)
      UPDATE_C_ROW_SCATTERED(14)
      UPDATE_C_ROW_SCATTERED(15)
      UPDATE_C_ROW_SCATTERED(16)
      UPDATE_C_ROW_SCATTERED(17)
      UPDATE_C_ROW_SCATTERED(18)
      UPDATE_C_ROW_SCATTERED(19)
      UPDATE_C_ROW_SCATTERED(20)
      UPDATE_C_ROW_SCATTERED(21)
      UPDATE_C_ROW_SCATTERED(22)
      UPDATE_C_ROW_SCATTERED(23)
      UPDATE_C_ROW_SCATTERED(24)
      UPDATE_C_ROW_SCATTERED(25)
      UPDATE_C_ROW_SCATTERED(26)
      UPDATE_C_ROW_SCATTERED(27)
      UPDATE_C_ROW_SCATTERED(28)
      UPDATE_C_ROW_SCATTERED(29)
      UPDATE_C_ROW_SCATTERED(30)
      UPDATE_C_ROW_SCATTERED(31)
  
      JMP(END)
  
      LABEL(SCATTERBZ)
  
      UPDATE_C_BZ_ROW_SCATTERED( 8)
      UPDATE_C_BZ_ROW_SCATTERED( 9)
      UPDATE_C_BZ_ROW_SCATTERED(10)
      UPDATE_C_BZ_ROW_SCATTERED(11)
      UPDATE_C_BZ_ROW_SCATTERED(12)
      UPDATE_C_BZ_ROW_SCATTERED(13)
      UPDATE_C_BZ_ROW_SCATTERED(14)
      UPDATE_C_BZ_ROW_SCATTERED(15)
      UPDATE_C_BZ_ROW_SCATTERED(16)
      UPDATE_C_BZ_ROW_SCATTERED(17)
      UPDATE_C_BZ_ROW_SCATTERED(18)
      UPDATE_C_BZ_ROW_SCATTERED(19)
      UPDATE_C_BZ_ROW_SCATTERED(20)
      UPDATE_C_BZ_ROW_SCATTERED(21)
      UPDATE_C_BZ_ROW_SCATTERED(22)
      UPDATE_C_BZ_ROW_SCATTERED(23)
      UPDATE_C_BZ_ROW_SCATTERED(24)
      UPDATE_C_BZ_ROW_SCATTERED(25)
      UPDATE_C_BZ_ROW_SCATTERED(26)
      UPDATE_C_BZ_ROW_SCATTERED(27)
      UPDATE_C_BZ_ROW_SCATTERED(28)
      UPDATE_C_BZ_ROW_SCATTERED(29)
      UPDATE_C_BZ_ROW_SCATTERED(30)
      UPDATE_C_BZ_ROW_SCATTERED(31)
  
      LABEL(END)
  
  #ifdef MONITORS
      RDTSC
      MOV(VAR(botl), EAX)
      MOV(VAR(both), EDX)
  #endif
  
      END_ASM(
      : // output operands
  #ifdef MONITORS
        [topl]  "=m" (topl),
        [toph]  "=m" (toph),
        [midl]  "=m" (midl),
        [midh]  "=m" (midh),
        [mid2l] "=m" (mid2l),
        [mid2h] "=m" (mid2h),
        [botl]  "=m" (botl),
        [both]  "=m" (both)
  #endif
      : // input operands
        [k]         "m" (k),
        [a]         "m" (a),
        [b]         "m" (b),
        [alpha]     "m" (alpha),
        [beta]      "m" (beta),
        [c]         "m" (c),
        [rs_c]      "m" (rs_c),
        [cs_c]      "m" (cs_c),
        [a_next]    "m" (a_next),
        [b_next]    "m" (b_next),
        [offsetPtr] "m" (offsetPtr)
      : // register clobber list
        "rax", "rbx", "rcx", "rdx", "rdi", "rsi", "r8", "r9", "r10", "r11", "r12",
        "r13", "r14", "r15", "zmm0", "zmm1", "zmm2", "zmm3", "zmm4", "zmm5",
        "zmm6", "zmm7", "zmm8", "zmm9", "zmm10", "zmm11", "zmm12", "zmm13",
        "zmm14", "zmm15", "zmm16", "zmm17", "zmm18", "zmm19", "zmm20", "zmm21",
        "zmm22", "zmm23", "zmm24", "zmm25", "zmm26", "zmm27", "zmm28", "zmm29",
        "zmm30", "zmm31", "memory"
      )
  
  #ifdef LOOPMON
      printf("looptime = \t%d\n", bloopl - tloopl);
  #endif
  #ifdef MONITORS
      dim_t top = ((dim_t)toph << 32) | topl;
      dim_t mid = ((dim_t)midh << 32) | midl;
      dim_t mid2 = ((dim_t)mid2h << 32) | mid2l;
      dim_t bot = ((dim_t)both << 32) | botl;
      printf("setup =\t%u\tmain loop =\t%u\tcleanup=\t%u\ttotal=\t%u\n", mid - top, mid2 - mid, bot - mid2, bot - top);
  #endif
  }
  