sgemm_small_kernel_nn_sve.c

/***************************************************************************
Copyright (c) 2024, The OpenBLAS Project
All rights reserved.
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modification, are permitted provided that the following conditions are
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1. Redistributions of source code must retain the above copyright
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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.
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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
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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 "common.h"

#include <arm_neon.h>
#include <arm_sve.h>
#if defined(__ARM_NEON_SVE_BRIDGE) && defined(__has_include) &&                \
  __has_include(<arm_neon_sve_bridge.h>)
#include <arm_neon_sve_bridge.h>
#else
#define svdup_neonq_f32(fixed_reg)                                             \
  ({                                                                           \
    svfloat32_t scalable_reg;                                                  \
    asm("mov %0.q, %q1" : "=w"(scalable_reg) : "w"(fixed_reg) :);              \
    scalable_reg;                                                              \
  })
#define svdup_neonq_f64(fixed_reg)                                             \
  ({                                                                           \
    svfloat64_t scalable_reg;                                                  \
    asm("mov %0.q, %q1" : "=w"(scalable_reg) : "w"(fixed_reg) :);              \
    scalable_reg;                                                              \
  })
#endif

#define RESET_A_POINTER() a_offset = A;

#define CREATE_A_POINTER(m, scale) FLOAT* a_offset##m = a_offset + scale;
#define UPDATE_A_POINTER(scale) a_offset = a_offset + scale;
#define A_ELEMENT_K(m, offset_k) *(a_offset##m + (k + offset_k) * lda)
#define A_ELEMENT(m) A_ELEMENT_K(m, 0)

#define RESET_B_POINTER() b_offset = B;

#define CREATE_B_POINTER(n, scale) FLOAT* b_offset##n = b_offset + scale * ldb;
#define UPDATE_B_POINTER(scale) b_offset = b_offset + scale * ldb;
#define B_ELEMENT_K(n, offset_k) *(b_offset##n + (k + offset_k))
#define B_ELEMENT(n) B_ELEMENT_K(n, 0)

#define CREATE_C_POINTER(n, scale) FLOAT* c_offset##n = c_offset + scale * ldc;
#define INCR_C_POINTER(m, incr) // c_offset ## m += incr;
#define UPDATE_C_POINTER(scale) c_offset = c_offset + scale * ldc;
#define C_ELEMENT(m, n) *(c_offset##n + ((m * v_size) + i))

// #undef C_ELEMENT
// #define C_ELEMENT(m, n)             C[(i+(m))+(j+(n))*ldc]

#define PACK_ELEMENT_K(n, offset_k) packed_b[(k + offset_k) * 4 + n]
#define PACK_ELEMENT(n) PACK_ELEMENT_K(n, 0)

// ASIMD
#define DECLARE_RESULT_VECTOR4(m, n)                                           \
  float32x4_t result##m##n = vdupq_n_f32(0.0);
#define DECLARE_RESULT(m, n) float32_t result##m##n = 0.0;
#define BROADCAST_LOAD_A4(m, offset_k)                                         \
  float32x4_t a##m##_k##offset_k = vld1q_dup_f32(&A_ELEMENT_K(m, offset_k));
#define LOAD_A1(m, offset_k)                                                   \
  float32_t a##m##_k##offset_k = A_ELEMENT_K(m, offset_k);
#define VECTOR_LOAD_B_K4(n, offset_k)                                          \
  float32x4_t b##k##n##_k##offset_k = vld1q_f32(&B_ELEMENT_K(n, offset_k));
#define TRANSPOSE_B4_K4(                                                       \
  n0, n1, n2, n3, offset_k0, offset_k1, offset_k2, offset_k3)                  \
  float32x4_t b##t##n0##_k##offset_k0 =                                        \
    vzip1q_f32(b##k##n0##_k##offset_k0, b##k##n1##_k##offset_k0);              \
  float32x4_t b##t##n0##_k##offset_k1 =                                        \
    vzip2q_f32(b##k##n0##_k##offset_k0, b##k##n1##_k##offset_k0);              \
  float32x4_t b##t##n0##_k##offset_k2 =                                        \
    vzip1q_f32(b##k##n2##_k##offset_k0, b##k##n3##_k##offset_k0);              \
  float32x4_t b##t##n0##_k##offset_k3 =                                        \
    vzip2q_f32(b##k##n2##_k##offset_k0, b##k##n3##_k##offset_k0);              \
  float32x4_t b##n0##_k##offset_k0 = vreinterpretq_f32_f64(                    \
    vzip1q_f64(vreinterpretq_f64_f32(b##t##n0##_k##offset_k0),                 \
               vreinterpretq_f64_f32(b##t##n0##_k##offset_k2)));               \
  float32x4_t b##n0##_k##offset_k1 = vreinterpretq_f32_f64(                    \
    vzip2q_f64(vreinterpretq_f64_f32(b##t##n0##_k##offset_k0),                 \
               vreinterpretq_f64_f32(b##t##n0##_k##offset_k2)));               \
  float32x4_t b##n0##_k##offset_k2 = vreinterpretq_f32_f64(                    \
    vzip1q_f64(vreinterpretq_f64_f32(b##t##n0##_k##offset_k1),                 \
               vreinterpretq_f64_f32(b##t##n0##_k##offset_k3)));               \
  float32x4_t b##n0##_k##offset_k3 = vreinterpretq_f32_f64(                    \
    vzip2q_f64(vreinterpretq_f64_f32(b##t##n0##_k##offset_k1),                 \
               vreinterpretq_f64_f32(b##t##n0##_k##offset_k3)));

#define SCALE_B4_K4(n0, offset_k0, offset_k1, offset_k2, offset_k3)            \
  svfloat32_t b##s##n0##_k##offset_k0 = svdup_neonq_f32(b##n0##_k##offset_k0); \
  svfloat32_t b##s##n0##_k##offset_k1 = svdup_neonq_f32(b##n0##_k##offset_k1); \
  svfloat32_t b##s##n0##_k##offset_k2 = svdup_neonq_f32(b##n0##_k##offset_k2); \
  svfloat32_t b##s##n0##_k##offset_k3 = svdup_neonq_f32(b##n0##_k##offset_k3);
#define GATHER_LOAD_B4(n, offset_k)                                            \
  float32x4_t b##n##_k##offset_k = vdupq_n_f32(B_ELEMENT_K(n, offset_k));      \
  b##n##_k##offset_k =                                                         \
    vsetq_lane_f32(B_ELEMENT_K(n + 1, offset_k), b##n##_k##offset_k, 1);       \
  b##n##_k##offset_k =                                                         \
    vsetq_lane_f32(B_ELEMENT_K(n + 2, offset_k), b##n##_k##offset_k, 2);       \
  b##n##_k##offset_k =                                                         \
    vsetq_lane_f32(B_ELEMENT_K(n + 3, offset_k), b##n##_k##offset_k, 3);
#define VECTOR_UNPACK_B4(n, offset_k)                                          \
  float32x4_t b##n##_k##offset_k = vld1q_f32(&PACK_ELEMENT_K(n, offset_k));
#define VECTOR_PACK_B4(n, offset_k)                                            \
  vst1q_f32(&PACK_ELEMENT_K(n, offset_k), b##n##_k##offset_k);
#define PACK_B0(n, offset_k)                                                   \
  PACK_ELEMENT_K(n, offset_k) = vget_lane_f32(b##n##_k##offset_k, 0);
#define UPDATE_RESULT_VECTOR4(m, n, offset_k)                                  \
  result##m##n =                                                               \
    vfmaq_f32(result##m##n, a##m##_k##offset_k, b##n##_k##offset_k);
#define UPDATE_RESULT(m, n, offset_k)                                          \
  result##m##n = result##m##n + a##m##_k##offset_k * b##n##_k##offset_k;
#ifdef B0
#define SCATTER_STORE4(m, n)                                                   \
  result##m##n = vmulq_f32(result##m##n, vdupq_n_f32(alpha));                  \
  C_ELEMENT(m, n + 0) = vgetq_lane_f32(result##m##n, 0);                       \
  C_ELEMENT(m, n + 1) = vgetq_lane_f32(result##m##n, 1);                       \
  C_ELEMENT(m, n + 2) = vgetq_lane_f32(result##m##n, 2);                       \
  C_ELEMENT(m, n + 3) = vgetq_lane_f32(result##m##n, 3);
#else
#define SCATTER_STORE4(m, n)                                                   \
  result##m##n = vmulq_f32(result##m##n, vdupq_n_f32(alpha));                  \
  C_ELEMENT(m, n + 0) =                                                        \
    C_ELEMENT(m, n + 0) * beta + vgetq_lane_f32(result##m##n, 0);              \
  C_ELEMENT(m, n + 1) =                                                        \
    C_ELEMENT(m, n + 1) * beta + vgetq_lane_f32(result##m##n, 1);              \
  C_ELEMENT(m, n + 2) =                                                        \
    C_ELEMENT(m, n + 2) * beta + vgetq_lane_f32(result##m##n, 2);              \
  C_ELEMENT(m, n + 3) =                                                        \
    C_ELEMENT(m, n + 3) * beta + vgetq_lane_f32(result##m##n, 3);
#endif

// SVE
#define DECLARE_RESULT_VECTOR(m, n) svfloat32_t result##m##n = svdup_f32(0.0);
#define BROADCAST_LOAD_A(m, offset_k)                                          \
  svfloat32_t a##s##m##_k##offset_k = svdup_f32(A_ELEMENT_K(m, offset_k));
#define BROADCAST_LOAD_B(n, offset_k)                                          \
  svfloat32_t b##s##n##_k##offset_k = svdup_f32(B_ELEMENT_K(n, offset_k));
#define VECTOR_LOAD_A(pg, m, offset_k)                                         \
  svfloat32_t a##s##m##_k##offset_k = svld1(pg, &A_ELEMENT_K(m, offset_k));
#define QUADWORD_LOAD_B(n, offset_k)                                           \
  svfloat32_t b##s##n##_k##offset_k =                                          \
    svld1rq(pg_true, &B_ELEMENT_K(n, offset_k));
#define PACK_B(n, offset_k)                                                    \
  svst1(pg_first, &PACK_ELEMENT_K(n, offset_k), b##s##n##_k##offset_k);
#define VECTOR_PACK_B(n, offset_k)                                             \
  svst1(pg_true, &PACK_ELEMENT_K(n* v_size, offset_k), b##s##n##_k##offset_k);
#define QUADWORD_PACK_B(n, offset_k)                                           \
  svst1(pg_quad, &PACK_ELEMENT_K(n, offset_k), b##s##n##_k##offset_k);
#define UNPACK_VECTOR_B(n, offset_k)                                           \
  svfloat32_t b##s##n##_k##offset_k =                                          \
    svld1(pg_true, &PACK_ELEMENT_K(n * v_size, offset_k));
#define UNPACK_BROADCAST_B(n, offset_k)                                        \
  svfloat32_t b##s##n##_k##offset_k = svdup_f32(PACK_ELEMENT_K(n, offset_k));
#define UNPACK_QUADWORD_B(n, offset_k)                                         \
  svfloat32_t b##s##n##_k##offset_k =                                          \
    svld1rq(pg_true, &PACK_ELEMENT_K(n, offset_k));
#define UPDATE_RESULT_VECTOR(pg, m, n, offset_k)                               \
  result##m##n =                                                               \
    svmla_m(pg, result##m##n, a##s##m##_k##offset_k, b##s##n##_k##offset_k);
#define UPDATE_RESULT_VECTOR_QUADWORD(m, n, outer, lane, offset_k)             \
  result##m##n = svmla_lane(                                                   \
    result##m##n, a##s##m##_k##offset_k, b##s##outer##_k##offset_k, lane);
#ifdef B0
#define VECTOR_STORE(pg, m, n)                                                 \
  result##m##n = svmul_m(pg, result##m##n, alpha_vec);                         \
  svst1(pg, &C_ELEMENT(m, n), result##m##n);
#define SCATTER_STORE(pg, m, n)                                                \
  result##m##n = svmul_m(pg, result##m##n, alpha_vec);                         \
  svst1_scatter_index(pg, &C_ELEMENT(m, n), ldc_vec, result##m##n);
#else
#define VECTOR_STORE(pg, m, n)                                                 \
  result##m##n = svmul_m(pg, result##m##n, alpha_vec);                         \
  result##m##n =                                                               \
    svmla_m(pg, result##m##n, svld1(pg, &C_ELEMENT(m, n)), beta_vec);          \
  svst1(pg, &C_ELEMENT(m, n), result##m##n);
#define SCATTER_STORE(pg, m, n)                                                \
  result##m##n = svmul_m(pg, result##m##n, alpha_vec);                         \
  result##m##n = svmla_m(pg,                                                   \
                         result##m##n,                                         \
                         svld1_gather_index(pg, &C_ELEMENT(m, n), ldc_vec),    \
                         beta_vec);                                            \
  svst1_scatter_index(pg, &C_ELEMENT(m, n), ldc_vec, result##m##n);
#endif

#ifndef LIKELY
#ifdef __GNUC__
#define LIKELY(x) __builtin_expect(!!(x), 1)
#else
#define LIKELY(x) (x)
#endif
#endif

#ifdef B0
int
CNAME(BLASLONG M,
      BLASLONG N,
      BLASLONG K,
      IFLOAT* A,
      BLASLONG lda,
      FLOAT alpha,
      IFLOAT* B,
      BLASLONG ldb,
      FLOAT* C,
      BLASLONG ldc)
#else
int
CNAME(BLASLONG M,
      BLASLONG N,
      BLASLONG K,
      IFLOAT* A,
      BLASLONG lda,
      FLOAT alpha,
      IFLOAT* B,
      BLASLONG ldb,
      FLOAT beta,
      FLOAT* C,
      BLASLONG ldc)
#endif
{
  const uint64_t v_size = svcntw();
  const uint64_t v_size2 = v_size * 2;
  const svbool_t pg_true = svptrue_b32();
  const svbool_t pg_quad = svwhilelt_b32(0, 4);
  const svbool_t pg_first = svwhilelt_b32(0, 1);
  const svfloat32_t alpha_vec = svdup_f32(alpha);
#ifndef B0
  const svfloat32_t beta_vec = svdup_f32(beta);
#endif
  const BLASLONG n4 = N & -4;
  const BLASLONG v_m2 = M & -v_size2;
  const BLASLONG v_m1 = M & -v_size;
  const BLASLONG k4 = K & -4;

  const int pack_b = M >= v_size2 && N >= 8 && K >= 8 ? 1 : 0;
  FLOAT* packed_b =
    (pack_b) ? packed_b = (FLOAT*)malloc(K * 4 * sizeof(FLOAT)) : NULL;

  FLOAT* b_offset = B;
  FLOAT* a_offset = A;
  FLOAT* c_offset = C;

  BLASLONG j = 0;
  for (; j < n4; j += 4) {

    CREATE_C_POINTER(0, 0);
    CREATE_C_POINTER(1, 1);
    CREATE_C_POINTER(2, 2);
    CREATE_C_POINTER(3, 3);
    CREATE_B_POINTER(0, 0);
    CREATE_B_POINTER(1, 1);
    CREATE_B_POINTER(2, 2);
    CREATE_B_POINTER(3, 3);

    BLASLONG i = 0;
    for (; i < v_m2; i += v_size2) {

      CREATE_A_POINTER(0, 0);
      CREATE_A_POINTER(1, v_size);
      UPDATE_A_POINTER(v_size2);

      BLASLONG k = 0;
      DECLARE_RESULT_VECTOR(0, 0);
      DECLARE_RESULT_VECTOR(0, 1);
      DECLARE_RESULT_VECTOR(0, 2);
      DECLARE_RESULT_VECTOR(0, 3);
      DECLARE_RESULT_VECTOR(1, 0);
      DECLARE_RESULT_VECTOR(1, 1);
      DECLARE_RESULT_VECTOR(1, 2);
      DECLARE_RESULT_VECTOR(1, 3);

      if (LIKELY(packed_b != NULL)) {
        if (i == 0) {
          for (; k < k4; k += 4) {

            VECTOR_LOAD_B_K4(0, 0);
            VECTOR_LOAD_B_K4(1, 0);
            VECTOR_LOAD_B_K4(2, 0);
            VECTOR_LOAD_B_K4(3, 0);
            TRANSPOSE_B4_K4(0, 1, 2, 3, 0, 1, 2, 3);
            SCALE_B4_K4(0, 0, 1, 2, 3);
            VECTOR_PACK_B4(0, 0);
            VECTOR_PACK_B4(0, 1);
            VECTOR_PACK_B4(0, 2);
            VECTOR_PACK_B4(0, 3);
            VECTOR_LOAD_A(pg_true, 0, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 0);
            VECTOR_LOAD_A(pg_true, 0, 1);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 1);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 1);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 1);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 1);
            VECTOR_LOAD_A(pg_true, 0, 2);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 2);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 2);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 2);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 2);
            VECTOR_LOAD_A(pg_true, 0, 3);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 3);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 3);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 3);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 3);
            VECTOR_LOAD_A(pg_true, 1, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 0, 0, 0, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 1, 0, 1, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 2, 0, 2, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 3, 0, 3, 0);
            VECTOR_LOAD_A(pg_true, 1, 1);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 0, 0, 0, 1);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 1, 0, 1, 1);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 2, 0, 2, 1);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 3, 0, 3, 1);
            VECTOR_LOAD_A(pg_true, 1, 2);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 0, 0, 0, 2);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 1, 0, 1, 2);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 2, 0, 2, 2);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 3, 0, 3, 2);
            VECTOR_LOAD_A(pg_true, 1, 3);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 0, 0, 0, 3);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 1, 0, 1, 3);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 2, 0, 2, 3);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 3, 0, 3, 3);
          }
          for (; k < K; k++) {

            BROADCAST_LOAD_B(0, 0);
            PACK_B(0, 0);
            VECTOR_LOAD_A(pg_true, 0, 0);
            UPDATE_RESULT_VECTOR(pg_true, 0, 0, 0);
            BROADCAST_LOAD_B(1, 0);
            PACK_B(1, 0);
            UPDATE_RESULT_VECTOR(pg_true, 0, 1, 0);
            VECTOR_LOAD_A(pg_true, 1, 0);
            UPDATE_RESULT_VECTOR(pg_true, 1, 0, 0);
            UPDATE_RESULT_VECTOR(pg_true, 1, 1, 0);
            BROADCAST_LOAD_B(2, 0);
            PACK_B(2, 0);
            UPDATE_RESULT_VECTOR(pg_true, 0, 2, 0);
            UPDATE_RESULT_VECTOR(pg_true, 1, 2, 0);
            BROADCAST_LOAD_B(3, 0);
            PACK_B(3, 0);
            UPDATE_RESULT_VECTOR(pg_true, 0, 3, 0);
            UPDATE_RESULT_VECTOR(pg_true, 1, 3, 0);
          }
        } else {
          for (; k < K; k++) {

            UNPACK_QUADWORD_B(0, 0);
            VECTOR_LOAD_A(pg_true, 0, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 0);
            VECTOR_LOAD_A(pg_true, 1, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 0, 0, 0, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 1, 0, 1, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 2, 0, 2, 0);
            UPDATE_RESULT_VECTOR_QUADWORD(1, 3, 0, 3, 0);
          }
        }
      } else {
        for (; k < k4; k += 4) {

          VECTOR_LOAD_B_K4(0, 0);
          VECTOR_LOAD_B_K4(1, 0);
          VECTOR_LOAD_B_K4(2, 0);
          VECTOR_LOAD_B_K4(3, 0);
          TRANSPOSE_B4_K4(0, 1, 2, 3, 0, 1, 2, 3);
          SCALE_B4_K4(0, 0, 1, 2, 3);
          VECTOR_LOAD_A(pg_true, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 0);
          VECTOR_LOAD_A(pg_true, 0, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 1);
          VECTOR_LOAD_A(pg_true, 0, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 2);
          VECTOR_LOAD_A(pg_true, 0, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 3);
          VECTOR_LOAD_A(pg_true, 1, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 0, 0, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 1, 0, 1, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 2, 0, 2, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 3, 0, 3, 0);
          VECTOR_LOAD_A(pg_true, 1, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 0, 0, 0, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 1, 0, 1, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 2, 0, 2, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 3, 0, 3, 1);
          VECTOR_LOAD_A(pg_true, 1, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 0, 0, 0, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 1, 0, 1, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 2, 0, 2, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 3, 0, 3, 2);
          VECTOR_LOAD_A(pg_true, 1, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 0, 0, 0, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 1, 0, 1, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 2, 0, 2, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(1, 3, 0, 3, 3);
        }
        for (; k < K; k++) {

          BROADCAST_LOAD_B(0, 0);
          VECTOR_LOAD_A(pg_true, 0, 0);
          UPDATE_RESULT_VECTOR(pg_true, 0, 0, 0);
          BROADCAST_LOAD_B(1, 0);
          UPDATE_RESULT_VECTOR(pg_true, 0, 1, 0);
          VECTOR_LOAD_A(pg_true, 1, 0);
          UPDATE_RESULT_VECTOR(pg_true, 1, 0, 0);
          UPDATE_RESULT_VECTOR(pg_true, 1, 1, 0);
          BROADCAST_LOAD_B(2, 0);
          UPDATE_RESULT_VECTOR(pg_true, 0, 2, 0);
          UPDATE_RESULT_VECTOR(pg_true, 1, 2, 0);
          BROADCAST_LOAD_B(3, 0);
          UPDATE_RESULT_VECTOR(pg_true, 0, 3, 0);
          UPDATE_RESULT_VECTOR(pg_true, 1, 3, 0);
        }
      }
      VECTOR_STORE(pg_true, 0, 0);
      VECTOR_STORE(pg_true, 0, 1);
      VECTOR_STORE(pg_true, 0, 2);
      VECTOR_STORE(pg_true, 0, 3);
      VECTOR_STORE(pg_true, 1, 0);
      VECTOR_STORE(pg_true, 1, 1);
      VECTOR_STORE(pg_true, 1, 2);
      VECTOR_STORE(pg_true, 1, 3);
      INCR_C_POINTER(0, v_size2);
      INCR_C_POINTER(1, v_size2);
      INCR_C_POINTER(2, v_size2);
      INCR_C_POINTER(3, v_size2);
    }
    for (; i < v_m1; i += v_size) {

      CREATE_A_POINTER(0, 0);
      UPDATE_A_POINTER(v_size);

      BLASLONG k = 0;
      DECLARE_RESULT_VECTOR(0, 0);
      DECLARE_RESULT_VECTOR(0, 1);
      DECLARE_RESULT_VECTOR(0, 2);
      DECLARE_RESULT_VECTOR(0, 3);

      if (LIKELY(packed_b != NULL)) {
        for (; k < K; k++) {

          UNPACK_QUADWORD_B(0, 0);
          VECTOR_LOAD_A(pg_true, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 0);
        }
      } else {
        for (; k < k4; k += 4) {

          VECTOR_LOAD_B_K4(0, 0);
          VECTOR_LOAD_B_K4(1, 0);
          VECTOR_LOAD_B_K4(2, 0);
          VECTOR_LOAD_B_K4(3, 0);
          TRANSPOSE_B4_K4(0, 1, 2, 3, 0, 1, 2, 3);
          SCALE_B4_K4(0, 0, 1, 2, 3);
          VECTOR_LOAD_A(pg_true, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 0);
          VECTOR_LOAD_A(pg_true, 0, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 1);
          VECTOR_LOAD_A(pg_true, 0, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 2);
          VECTOR_LOAD_A(pg_true, 0, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 3);
        }
        for (; k < K; k++) {

          BROADCAST_LOAD_B(0, 0);
          VECTOR_LOAD_A(pg_true, 0, 0);
          UPDATE_RESULT_VECTOR(pg_true, 0, 0, 0);
          BROADCAST_LOAD_B(1, 0);
          UPDATE_RESULT_VECTOR(pg_true, 0, 1, 0);
          BROADCAST_LOAD_B(2, 0);
          UPDATE_RESULT_VECTOR(pg_true, 0, 2, 0);
          BROADCAST_LOAD_B(3, 0);
          UPDATE_RESULT_VECTOR(pg_true, 0, 3, 0);
        }
      }
      VECTOR_STORE(pg_true, 0, 0);
      VECTOR_STORE(pg_true, 0, 1);
      VECTOR_STORE(pg_true, 0, 2);
      VECTOR_STORE(pg_true, 0, 3);
      INCR_C_POINTER(0, v_size);
      INCR_C_POINTER(1, v_size);
      INCR_C_POINTER(2, v_size);
      INCR_C_POINTER(3, v_size);
    }
    for (; i < M; i += v_size) {
      const svbool_t pg_tail = svwhilelt_b32((uint32_t)i, (uint32_t)(M));
      CREATE_A_POINTER(0, 0);
      UPDATE_A_POINTER(0);

      BLASLONG k = 0;
      DECLARE_RESULT_VECTOR(0, 0);
      DECLARE_RESULT_VECTOR(0, 1);
      DECLARE_RESULT_VECTOR(0, 2);
      DECLARE_RESULT_VECTOR(0, 3);

      if (LIKELY(packed_b != NULL)) {
        for (; k < K; k++) {

          UNPACK_QUADWORD_B(0, 0);
          VECTOR_LOAD_A(pg_tail, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 0);
        }
      } else {
        for (; k < k4; k += 4) {

          VECTOR_LOAD_B_K4(0, 0);
          VECTOR_LOAD_B_K4(1, 0);
          VECTOR_LOAD_B_K4(2, 0);
          VECTOR_LOAD_B_K4(3, 0);
          TRANSPOSE_B4_K4(0, 1, 2, 3, 0, 1, 2, 3);
          SCALE_B4_K4(0, 0, 1, 2, 3);
          VECTOR_LOAD_A(pg_tail, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 0);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 0);
          VECTOR_LOAD_A(pg_tail, 0, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 1);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 1);
          VECTOR_LOAD_A(pg_tail, 0, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 2);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 2);
          VECTOR_LOAD_A(pg_tail, 0, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 0, 0, 0, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 1, 0, 1, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 2, 0, 2, 3);
          UPDATE_RESULT_VECTOR_QUADWORD(0, 3, 0, 3, 3);
        }
        for (; k < K; k++) {

          BROADCAST_LOAD_B(0, 0);
          VECTOR_LOAD_A(pg_tail, 0, 0);
          UPDATE_RESULT_VECTOR(pg_tail, 0, 0, 0);
          BROADCAST_LOAD_B(1, 0);
          UPDATE_RESULT_VECTOR(pg_tail, 0, 1, 0);
          BROADCAST_LOAD_B(2, 0);
          UPDATE_RESULT_VECTOR(pg_tail, 0, 2, 0);
          BROADCAST_LOAD_B(3, 0);
          UPDATE_RESULT_VECTOR(pg_tail, 0, 3, 0);
        }
      }
      VECTOR_STORE(pg_tail, 0, 0);
      VECTOR_STORE(pg_tail, 0, 1);
      VECTOR_STORE(pg_tail, 0, 2);
      VECTOR_STORE(pg_tail, 0, 3);
      INCR_C_POINTER(0, 0);
      INCR_C_POINTER(1, 0);
      INCR_C_POINTER(2, 0);
      INCR_C_POINTER(3, 0);
    }

    UPDATE_B_POINTER(4);
    RESET_A_POINTER();
    UPDATE_C_POINTER(4);
  }
  for (; j < N; j++) {

    CREATE_C_POINTER(0, 0);
    CREATE_B_POINTER(0, 0);

    BLASLONG i = 0;
    for (; i < v_m2; i += v_size2) {

      CREATE_A_POINTER(0, 0);
      CREATE_A_POINTER(1, v_size);
      UPDATE_A_POINTER(v_size2);

      BLASLONG k = 0;
      DECLARE_RESULT_VECTOR(0, 0);
      DECLARE_RESULT_VECTOR(1, 0);

      for (; k < K; k++) {

        BROADCAST_LOAD_B(0, 0);
        VECTOR_LOAD_A(pg_true, 0, 0);
        UPDATE_RESULT_VECTOR(pg_true, 0, 0, 0);
        VECTOR_LOAD_A(pg_true, 1, 0);
        UPDATE_RESULT_VECTOR(pg_true, 1, 0, 0);
      }
      VECTOR_STORE(pg_true, 0, 0);
      VECTOR_STORE(pg_true, 1, 0);
      INCR_C_POINTER(0, v_size2);
    }
    for (; i < v_m1; i += v_size) {

      CREATE_A_POINTER(0, 0);
      UPDATE_A_POINTER(v_size);

      BLASLONG k = 0;
      DECLARE_RESULT_VECTOR(0, 0);

      for (; k < K; k++) {

        BROADCAST_LOAD_B(0, 0);
        VECTOR_LOAD_A(pg_true, 0, 0);
        UPDATE_RESULT_VECTOR(pg_true, 0, 0, 0);
      }
      VECTOR_STORE(pg_true, 0, 0);
      INCR_C_POINTER(0, v_size);
    }
    for (; i < M; i += v_size) {
      const svbool_t pg_tail = svwhilelt_b32((uint32_t)i, (uint32_t)(M));
      CREATE_A_POINTER(0, 0);
      UPDATE_A_POINTER(0);

      BLASLONG k = 0;
      DECLARE_RESULT_VECTOR(0, 0);

      for (; k < K; k++) {

        BROADCAST_LOAD_B(0, 0);
        VECTOR_LOAD_A(pg_tail, 0, 0);
        UPDATE_RESULT_VECTOR(pg_tail, 0, 0, 0);
      }
      VECTOR_STORE(pg_tail, 0, 0);
      INCR_C_POINTER(0, 0);
    }

    UPDATE_B_POINTER(1);
    RESET_A_POINTER();
    UPDATE_C_POINTER(1);
  }

  if (pack_b)
    free(packed_b);

  return 0;
}