LIBXSMM_API_INTERN
void libxsmm_sparse_csc_asparse_innerloop_four_vector( libxsmm_generated_code*        io_generated_code,
                                                       const libxsmm_gemm_descriptor* i_xgemm_desc,
                                                       const unsigned int             i_k,
                                                       const unsigned int             i_z,
                                                       const unsigned int*            i_row_idx,
                                                       const unsigned int*            i_column_idx ) {
  char l_new_code[512];
  int l_max_code_length = 511;
  int l_code_length = 0;

  if ( LIBXSMM_GEMM_PRECISION_F64 == LIBXSMM_GETENUM_INP( i_xgemm_desc->datatype )  ) {
    unsigned int l_i;
    unsigned int l_z = i_z;
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#if defined(__SSE3__) && defined(__AVX__)\n");
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    __m256d c%u_%u = _mm256_loadu_pd(&C[(l_n*%u)+%u]);\n", i_k, i_z, (unsigned int)i_xgemm_desc->ldc, i_row_idx[i_column_idx[i_k] + i_z] );
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    __m256d a%u_%u = _mm256_loadu_pd(&A[%u]);\n", i_k, i_z, i_column_idx[i_k] + i_z );
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    c%u_%u = _mm256_add_pd(c%u_%u, _mm256_mul_pd(a%u_%u, b%u));\n", i_k, i_z, i_k, i_z, i_k, i_z, i_k );
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    _mm256_storeu_pd(&C[(l_n*%u)+%u], c%u_%u);\n", (unsigned int)i_xgemm_desc->ldc, i_row_idx[i_column_idx[i_k] + i_z], i_k, i_z );
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#endif\n");
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#if defined(__SSE3__) && !defined(__AVX__)\n");
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    for ( l_i = 0; l_i < 2; l_i++ ) {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    __m128d c%u_%u = _mm_loadu_pd(&C[(l_n*%u)+%u]);\n", i_k, l_z, (unsigned int)i_xgemm_desc->ldc, i_row_idx[i_column_idx[i_k] + l_z] );
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    __m128d a%u_%u = _mm_loadu_pd(&A[%u]);\n", i_k, l_z, i_column_idx[i_k] + l_z );
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    c%u_%u = _mm_add_pd(c%u_%u, _mm_mul_pd(a%u_%u, b%u));\n", i_k, l_z, i_k, l_z, i_k, l_z, i_k );
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    _mm_storeu_pd(&C[(l_n*%u)+%u], c%u_%u);\n", (unsigned int)i_xgemm_desc->ldc, i_row_idx[i_column_idx[i_k] + l_z], i_k, l_z );
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
      l_z += 2;
    }
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#endif\n");
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
  } else {
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    __m128 c%u_%u = _mm_loadu_ps(&C[(l_n*%u)+%u]);\n", i_k, i_z, (unsigned int)i_xgemm_desc->ldc, i_row_idx[i_column_idx[i_k] + i_z] );
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    __m128 a%u_%u = _mm_loadu_ps(&A[%u]);\n", i_k, i_z, i_column_idx[i_k] + i_z );
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    c%u_%u = _mm_add_ps(c%u_%u, _mm_mul_ps(a%u_%u, b%u));\n", i_k, i_z, i_k, i_z, i_k, i_z, i_k );
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    _mm_storeu_ps(&C[(l_n*%u)+%u], c%u_%u);\n", (unsigned int)i_xgemm_desc->ldc, i_row_idx[i_column_idx[i_k] + i_z], i_k, i_z );
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
  }
}
LIBXSMM_API_INTERN
void libxsmm_generator_spgemm_csc_bsparse( libxsmm_generated_code*         io_generated_code,
                                           const libxsmm_gemm_descriptor*  i_xgemm_desc,
                                           const char*                     i_arch,
                                           const unsigned int*             i_row_idx,
                                           const unsigned int*             i_column_idx,
                                           const double*                   i_values ) {
  unsigned int l_n;
  unsigned int l_z;
  unsigned int l_column_elements;
  unsigned int l_flop_count = 0;

  char l_new_code[512];
  int l_max_code_length = 511;
  int l_code_length = 0;

  LIBXSMM_UNUSED(i_values);

  l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  unsigned int l_m = 0;\n");
  libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );

  /* reset C if beta is zero */
  if (0 != (LIBXSMM_GEMM_FLAG_BETA_0 & i_xgemm_desc->flags)) { /* Beta=0 */
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  unsigned int l_n = 0;\n");
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  for ( l_n = 0; l_n < %u; l_n++) {\n", (unsigned int)i_xgemm_desc->n);
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    if ( i_xgemm_desc->m > 1 ) {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    #pragma simd\n");
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    #pragma vector aligned\n");
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    }
    if ( LIBXSMM_GEMM_PRECISION_F64 == LIBXSMM_GETENUM_INP( i_xgemm_desc->datatype ) ) {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    for ( l_m = 0; l_m < %u; l_m++) { C[(l_n*%u)+l_m] = 0.0; }\n", (unsigned int)i_xgemm_desc->m, (unsigned int)i_xgemm_desc->ldc);
    } else {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    for ( l_m = 0; l_m < %u; l_m++) { C[(l_n*%u)+l_m] = 0.0f; }\n", (unsigned int)i_xgemm_desc->m, (unsigned int)i_xgemm_desc->ldc);
    }
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  }\n");
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
  }
  l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "\n");
  libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );

  /* determine the correct simd pragma for each architecture */
  if ( ( strcmp( i_arch, "noarch" ) == 0 ) ||
       ( strcmp( i_arch, "wsm" ) == 0 )    ||
       ( strcmp( i_arch, "snb" ) == 0 )    ||
       ( strcmp( i_arch, "hsw" ) == 0 ) ) {
    if ( i_xgemm_desc->m > 7 ) {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  #pragma simd vectorlength(8)\n");
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    } else if ( i_xgemm_desc->m > 3 ) {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  #pragma simd vectorlength(4)\n");
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    } else if ( i_xgemm_desc->m > 1 ) {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  #pragma simd vectorlength(2)\n");
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    } else {}

    if ( (i_xgemm_desc->m > 1)          &&
         ((LIBXSMM_GEMM_FLAG_ALIGN_A & i_xgemm_desc->flags) != 0) &&
         ((LIBXSMM_GEMM_FLAG_ALIGN_C & i_xgemm_desc->flags) != 0) ) {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  #pragma vector aligned\n");
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    }
  } else if ( ( strcmp( i_arch, "knl" ) == 0 ) ||
              ( strcmp( i_arch, "skx" ) == 0 ) ||
              ( strcmp( i_arch, "clx" ) == 0 ) ||
              ( strcmp( i_arch, "cpx" ) == 0 ) ) {
    if ( (i_xgemm_desc->m > 1)          &&
         ((LIBXSMM_GEMM_FLAG_ALIGN_A & i_xgemm_desc->flags) != 0) &&
         ((LIBXSMM_GEMM_FLAG_ALIGN_C & i_xgemm_desc->flags) != 0) ) {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  #pragma simd vectorlength(32)\n  #pragma vector aligned\n");
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    }
  } else {
    LIBXSMM_HANDLE_ERROR( io_generated_code, LIBXSMM_ERR_ARCH );
    return;
  }

  /* generate the actuel kernel */
  l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  for ( l_m = 0; l_m < %u; l_m++) {\n", (unsigned int)i_xgemm_desc->m);
  libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );

  for ( l_n = 0; l_n < (unsigned int)i_xgemm_desc->n; l_n++ ) {
    l_column_elements = i_column_idx[l_n+1] - i_column_idx[l_n];
    for ( l_z = 0; l_z < l_column_elements; l_z++ ) {
      /* check k such that we just use rows which actually need to be multiplied */
      if ( i_row_idx[i_column_idx[l_n] + l_z] < (unsigned int)i_xgemm_desc->k ) {
        l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    C[%u+l_m] += A[%u+l_m] * B[%u];\n", l_n * i_xgemm_desc->ldc, i_row_idx[i_column_idx[l_n] + l_z]*i_xgemm_desc->lda, i_column_idx[l_n] + l_z);
        libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
        l_flop_count += 2;
      }
    }
  }

  l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  }\n");
  libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );

  /* add flop counter */
  l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "\n#ifndef NDEBUG\n#ifdef _OPENMP\n#pragma omp atomic\n#endif\nlibxsmm_num_total_flops += %u;\n#endif\n", l_flop_count * (unsigned int)i_xgemm_desc->m);
  libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
}
LIBXSMM_API_INTERN
void libxsmm_generator_spgemm_csc_bsparse_soa_avx256_512( libxsmm_generated_code*         io_generated_code,
                                                          const libxsmm_gemm_descriptor*  i_xgemm_desc,
                                                          const char*                     i_arch,
                                                          const unsigned int*             i_row_idx,
                                                          const unsigned int*             i_column_idx,
                                                          const void*                     i_values ) {
  unsigned int l_n = 0;
  unsigned int l_k = 0;
  unsigned int l_soa_width = 0;
  unsigned int l_max_cols = 0;
  unsigned int l_n_processed = 0;
  unsigned int l_n_limit = 0;
  unsigned int l_n_chunks = 0;
  unsigned int l_n_chunksize = 0;
  unsigned int l_found_mul = 0;
  unsigned int l_max_reg_block = 0;

  libxsmm_micro_kernel_config l_micro_kernel_config;
  libxsmm_loop_label_tracker l_loop_label_tracker;
  libxsmm_gp_reg_mapping l_gp_reg_mapping;

  LIBXSMM_UNUSED(i_values);

  /* select soa width */
  if ( LIBXSMM_GEMM_PRECISION_F64 == LIBXSMM_GETENUM_INP( i_xgemm_desc->datatype )  ) {
    if ( strcmp(i_arch, "knl") == 0 ||
         strcmp(i_arch, "knm") == 0 ||
         strcmp(i_arch, "skx") == 0 ||
         strcmp(i_arch, "clx") == 0 ||
         strcmp(i_arch, "cpx") == 0 ) {
      l_soa_width = 8;
      l_max_reg_block = 28;
    } else {
      l_soa_width = 4;
      l_max_reg_block = 14;
    }
  } else {
    if ( strcmp(i_arch, "knl") == 0 ||
         strcmp(i_arch, "knm") == 0 ||
         strcmp(i_arch, "skx") == 0 ||
         strcmp(i_arch, "clx") == 0 ||
         strcmp(i_arch, "cpx") == 0 ) {
      l_soa_width = 16;
      l_max_reg_block = 28;
    } else {
      l_soa_width = 8;
      l_max_reg_block = 14;
    }
  }

  /* define gp register mapping */
  libxsmm_reset_x86_gp_reg_mapping( &l_gp_reg_mapping );
  /* matching calling convention on Linux */
#if defined(_WIN32) || defined(__CYGWIN__)
  l_gp_reg_mapping.gp_reg_a = LIBXSMM_X86_GP_REG_RCX;
  l_gp_reg_mapping.gp_reg_b = LIBXSMM_X86_GP_REG_RDX;
  l_gp_reg_mapping.gp_reg_c = LIBXSMM_X86_GP_REG_R8;
  /* TODO: full support for Windows calling convention */
  l_gp_reg_mapping.gp_reg_a_prefetch = LIBXSMM_X86_GP_REG_RDI;
  l_gp_reg_mapping.gp_reg_b_prefetch = LIBXSMM_X86_GP_REG_RSI;
#else /* match calling convention on Linux */
  l_gp_reg_mapping.gp_reg_a = LIBXSMM_X86_GP_REG_RDI;
  l_gp_reg_mapping.gp_reg_b = LIBXSMM_X86_GP_REG_RSI;
  l_gp_reg_mapping.gp_reg_c = LIBXSMM_X86_GP_REG_RDX;
  l_gp_reg_mapping.gp_reg_a_prefetch = LIBXSMM_X86_GP_REG_RCX;
  l_gp_reg_mapping.gp_reg_b_prefetch = LIBXSMM_X86_GP_REG_R8;
#endif
  l_gp_reg_mapping.gp_reg_c_prefetch = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_mloop = LIBXSMM_X86_GP_REG_R12;
  l_gp_reg_mapping.gp_reg_nloop = LIBXSMM_X86_GP_REG_R13;
  l_gp_reg_mapping.gp_reg_kloop = LIBXSMM_X86_GP_REG_R14;
  l_gp_reg_mapping.gp_reg_help_0 = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_help_1 = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_help_2 = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_help_3 = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_help_4 = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_help_5 = LIBXSMM_X86_GP_REG_UNDEF;

  /* define loop_label_tracker */
  libxsmm_reset_loop_label_tracker( &l_loop_label_tracker );

  /* define the micro kernel code gen properties */
  libxsmm_generator_gemm_init_micro_kernel_config_fullvector( &l_micro_kernel_config, i_xgemm_desc, i_arch, 0 );

  /* get max column in C */
  l_max_cols = i_xgemm_desc->n;
  for ( l_n = 0; l_n < i_xgemm_desc->n; l_n++ ) {
    if ( i_column_idx[l_n] == i_column_idx[i_xgemm_desc->n] ) {
      l_max_cols = l_n+1;
    }
  }

  /* calculate the chunk size of current columns to work on */
  l_n_chunks = ( (l_max_cols % l_max_reg_block) == 0 ) ? (l_max_cols / l_max_reg_block) : (l_max_cols / l_max_reg_block) + 1;
  assert(0 != l_n_chunks); /* mute static analysis (division-by-zero); such invalid input must be caught upfront */
  l_n_chunksize = ( (l_max_cols % l_n_chunks) == 0 ) ? (l_max_cols / l_n_chunks) : (l_max_cols / l_n_chunks) + 1;

  /* open asm */
  libxsmm_x86_instruction_open_stream( io_generated_code, &l_gp_reg_mapping, i_arch, i_xgemm_desc->prefetch );

  /* m loop */
  libxsmm_x86_instruction_register_jump_back_label( io_generated_code, &l_loop_label_tracker );
  libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_add_instruction, l_gp_reg_mapping.gp_reg_mloop, 1 );

  /* loop over n-blocks */
  l_n_processed = 0;
  l_n_limit = l_n_chunksize;
  while ( l_n_processed < l_max_cols ) {
#if 0
    printf("l_max_cols: %i, l_n_processed: %i, l_n_limit: %i\n", l_max_cols, l_n_processed, l_n_limit);
#endif
    /* load C accumulator */
    for ( l_n = 0; l_n < l_n_limit - l_n_processed; l_n++ ) {
      if (0 != (LIBXSMM_GEMM_FLAG_BETA_0 & i_xgemm_desc->flags)) { /* Beta=0 */
        libxsmm_x86_instruction_vec_compute_reg( io_generated_code,
                                                 l_micro_kernel_config.instruction_set,
                                                 l_micro_kernel_config.vxor_instruction,
                                                 l_micro_kernel_config.vector_name,
                                                 l_n, l_n, l_n );
      } else {
        libxsmm_x86_instruction_vec_move( io_generated_code,
                                          l_micro_kernel_config.instruction_set,
                                          l_micro_kernel_config.c_vmove_instruction,
                                          l_gp_reg_mapping.gp_reg_c,
                                          LIBXSMM_X86_GP_REG_UNDEF, 0,
                                          (l_n_processed + l_n)*l_soa_width*l_micro_kernel_config.datatype_size,
                                          l_micro_kernel_config.vector_name,
                                          l_n, 0, 1, 0 );
      }
    }

    /* do dense soa times sparse multiplication */
    for ( l_k = 0; l_k < (unsigned int)i_xgemm_desc->k; l_k++ ) {
      unsigned int l_found_qmadd = 0;
      unsigned int l_col_k = 0;
      unsigned int l_column_active[28];
      int l_nnz_idx[28][4];

      /* reset helpers */
      for ( l_n = 0; l_n < l_n_limit - l_n_processed; l_n++ ) {
        l_column_active[l_n] = 0;
        l_nnz_idx[l_n][0] = -1; l_nnz_idx[l_n][1] = -1; l_nnz_idx[l_n][2] = -1; l_nnz_idx[l_n][3] = -1;
      }
      l_found_mul = 0;

      /* let's figure out if we can apply qmadd when being sin F32 setting and on KNM */
      if ( (l_k < ((unsigned int)i_xgemm_desc->k - 3))                       &&
           (l_micro_kernel_config.instruction_set == LIBXSMM_X86_AVX512_KNM) &&
           (LIBXSMM_GEMM_PRECISION_F32 == LIBXSMM_GETENUM_INP( i_xgemm_desc->datatype ) )               ) {
        /* loop over the columns of B/C */
        for ( l_n = 0; l_n < l_n_limit - l_n_processed; l_n++ ) {
          unsigned int l_found = 0;
          unsigned int l_acol_k = 0;
          unsigned int l_col_elements = i_column_idx[l_n_processed+l_n+1] - i_column_idx[l_n_processed+l_n];
          unsigned int l_cur_column = i_column_idx[l_n_processed+l_n];

          for ( l_col_k = 0; l_col_k < l_col_elements; l_col_k++ ) {
            for ( l_acol_k = l_found; l_acol_k < 4; l_acol_k++ ) {
              if ( (l_k + l_acol_k) == i_row_idx[l_cur_column + l_col_k] ) {
                l_nnz_idx[l_n][l_acol_k] = l_cur_column + l_col_k;
                l_found = l_acol_k+1;
              }
              if (l_found == 4) {
                l_col_k = l_col_elements;
              }
            }
          }
          /* let's check if we can apply qmadd in col l_n */
          if ( (l_nnz_idx[l_n][0] != -1) && (l_nnz_idx[l_n][1] != -1) && (l_nnz_idx[l_n][2] != -1) && (l_nnz_idx[l_n][3] != -1) ) {
            l_column_active[l_n] = 2;
            l_found_qmadd = 1;
            l_found_mul = 1;
          } else {
            /* let's check if we have at least one entry in the column that matches one of the four entries */
            if ( (l_nnz_idx[l_n][0] != -1) || (l_nnz_idx[l_n][1] != -1) || (l_nnz_idx[l_n][2] != -1) || (l_nnz_idx[l_n][3] != -1) ) {
              l_column_active[l_n] = 1;
              l_found_mul = 1;
            } else {
              l_column_active[l_n] = 0;
            }
          }
        }
      }

      if ( l_found_qmadd == 0 ) {
        /* loop over the columns of B/C */
        for ( l_n = 0; l_n < l_n_limit - l_n_processed; l_n++ ) {
          unsigned int l_col_elements = i_column_idx[l_n_processed+l_n+1] - i_column_idx[l_n_processed+l_n];
          unsigned int l_cur_column = i_column_idx[l_n_processed+l_n];
          /* search for entries matching that k */
          for ( l_col_k = 0; l_col_k < l_col_elements; l_col_k++ ) {
            if ( l_k == i_row_idx[l_cur_column + l_col_k] ) {
              l_nnz_idx[l_n][0] = l_cur_column + l_col_k;
              l_col_k = l_col_elements;
            }
          }
          /* let's check if we have an entry in the column that matches the k from A */
          if ( (l_nnz_idx[l_n][0] != -1) ) {
            l_column_active[l_n] = 1;
            l_found_mul = 1;
          } else {
            l_column_active[l_n] = 0;
          }
        }
      }

      /* First case: we can use qmadd */
      if ( l_found_qmadd != 0 ) {
        unsigned int l_lcl_k = 0;
        for ( l_lcl_k = 0; l_lcl_k < 4; l_lcl_k++ ) {
          libxsmm_x86_instruction_vec_move( io_generated_code,
                                            l_micro_kernel_config.instruction_set,
                                            l_micro_kernel_config.a_vmove_instruction,
                                            l_gp_reg_mapping.gp_reg_a,
                                            LIBXSMM_X86_GP_REG_UNDEF, 0,
                                            (l_k+l_lcl_k)*l_soa_width*l_micro_kernel_config.datatype_size,
                                            l_micro_kernel_config.vector_name,
                                            l_max_reg_block+l_lcl_k, 0, 1, 0 );
        }

        /* loop over the columns of B/C */
        for ( l_n = 0; l_n < l_n_limit - l_n_processed; l_n++ ) {
          /* issue a qmadd */
          if ( l_column_active[l_n] == 2 ) {
            libxsmm_x86_instruction_vec_compute_qfma( io_generated_code,
                                                      l_micro_kernel_config.instruction_set,
                                                      LIBXSMM_X86_INSTR_V4FMADDPS,
                                                      l_gp_reg_mapping.gp_reg_b,
                                                      LIBXSMM_X86_GP_REG_UNDEF,
                                                      0,
                                                      l_nnz_idx[l_n][0] * l_micro_kernel_config.datatype_size,
                                                      l_micro_kernel_config.vector_name,
                                                      l_max_reg_block,
                                                      l_n );
          } else if ( l_column_active[l_n] == 1 ) {
            for ( l_lcl_k = 0; l_lcl_k < 4; l_lcl_k++ ) {
              if ( l_nnz_idx[l_n][l_lcl_k] != -1 ) {
                libxsmm_x86_instruction_vec_compute_mem( io_generated_code,
                                                         l_micro_kernel_config.instruction_set,
                                                         l_micro_kernel_config.vmul_instruction,
                                                         1,
                                                         l_gp_reg_mapping.gp_reg_b,
                                                         LIBXSMM_X86_GP_REG_UNDEF,
                                                         0,
                                                         l_nnz_idx[l_n][l_lcl_k] * l_micro_kernel_config.datatype_size,
                                                         l_micro_kernel_config.vector_name,
                                                         l_max_reg_block+l_lcl_k,
                                                         l_n );
              }
            }
          }
        }
        /* increment by additional 3 columns */
        l_k += 3;
      } else if ( l_found_mul != 0 ) {
        libxsmm_x86_instruction_vec_move( io_generated_code,
                                          l_micro_kernel_config.instruction_set,
                                          l_micro_kernel_config.a_vmove_instruction,
                                          l_gp_reg_mapping.gp_reg_a,
                                          LIBXSMM_X86_GP_REG_UNDEF, 0,
                                          l_k*l_soa_width*l_micro_kernel_config.datatype_size,
                                          l_micro_kernel_config.vector_name,
                                          l_max_reg_block, 0, 1, 0 );
        /* loop over the columns of B/C */
        for ( l_n = 0; l_n < l_n_limit - l_n_processed; l_n++ ) {
          if ( l_nnz_idx[l_n][0] != -1 ) {
            if ( strcmp(i_arch, "knl") == 0 ||
                 strcmp(i_arch, "knm") == 0 ||
                 strcmp(i_arch, "skx") == 0 ||
                 strcmp(i_arch, "clx") == 0 ||
                 strcmp(i_arch, "cpx") == 0 ) {
              libxsmm_x86_instruction_vec_compute_mem( io_generated_code,
                                                       l_micro_kernel_config.instruction_set,
                                                       l_micro_kernel_config.vmul_instruction,
                                                       1,
                                                       l_gp_reg_mapping.gp_reg_b,
                                                       LIBXSMM_X86_GP_REG_UNDEF,
                                                       0,
                                                       l_nnz_idx[l_n][0] * l_micro_kernel_config.datatype_size,
                                                       l_micro_kernel_config.vector_name,
                                                       l_max_reg_block,
                                                       l_n );
            } else if ( strcmp(i_arch, "hsw") == 0 ) {
              libxsmm_x86_instruction_vec_move( io_generated_code,
                                                l_micro_kernel_config.instruction_set,
                                                l_micro_kernel_config.b_vmove_instruction,
                                                l_gp_reg_mapping.gp_reg_b,
                                                LIBXSMM_X86_GP_REG_UNDEF, 0,
                                                l_nnz_idx[l_n][0] * l_micro_kernel_config.datatype_size,
                                                l_micro_kernel_config.vector_name,
                                                15, 0, 1, 0 );
              libxsmm_x86_instruction_vec_compute_reg( io_generated_code,
                                                       l_micro_kernel_config.instruction_set,
                                                       l_micro_kernel_config.vmul_instruction,
                                                       l_micro_kernel_config.vector_name,
                                                       l_max_reg_block,
                                                       15,
                                                       l_n );
            } else {
              libxsmm_x86_instruction_vec_move( io_generated_code,
                                                l_micro_kernel_config.instruction_set,
                                                l_micro_kernel_config.b_vmove_instruction,
                                                l_gp_reg_mapping.gp_reg_b,
                                                LIBXSMM_X86_GP_REG_UNDEF, 0,
                                                l_nnz_idx[l_n][0] * l_micro_kernel_config.datatype_size,
                                                l_micro_kernel_config.vector_name,
                                                15, 0, 1, 0 );
              libxsmm_x86_instruction_vec_compute_reg( io_generated_code,
                                                       l_micro_kernel_config.instruction_set,
                                                       l_micro_kernel_config.vmul_instruction,
                                                       l_micro_kernel_config.vector_name,
                                                       l_max_reg_block,
                                                       15,
                                                       15 );
              libxsmm_x86_instruction_vec_compute_reg( io_generated_code,
                                                       l_micro_kernel_config.instruction_set,
                                                       l_micro_kernel_config.vadd_instruction,
                                                       l_micro_kernel_config.vector_name,
                                                       15,
                                                       l_n,
                                                       l_n );
            }
          }
        }
      } else {
        /* shouldn't happen */
      }
    }

    /* store C accumulator */
    for ( l_n = 0; l_n < l_n_limit - l_n_processed; l_n++ ) {
      libxsmm_x86_instruction_vec_move( io_generated_code,
                                        l_micro_kernel_config.instruction_set,
                                        l_micro_kernel_config.c_vmove_instruction,
                                        l_gp_reg_mapping.gp_reg_c,
                                        LIBXSMM_X86_GP_REG_UNDEF, 0,
                                        (l_n_processed + l_n)*l_soa_width*l_micro_kernel_config.datatype_size,
                                        l_micro_kernel_config.vector_name,
                                        l_n, 0, 0, 1 );
    }

    /* adjust n progression */
    l_n_processed += l_n_chunksize;
    l_n_limit = LIBXSMM_MIN(l_n_processed + l_n_chunksize, l_max_cols);
  }

  /* advance C pointer */
  libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_add_instruction, l_gp_reg_mapping.gp_reg_c,
                                     l_micro_kernel_config.datatype_size*l_soa_width*i_xgemm_desc->ldc);

  /* advance A pointer */
  libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_add_instruction, l_gp_reg_mapping.gp_reg_a,
                                   l_micro_kernel_config.datatype_size*l_soa_width*i_xgemm_desc->lda);

  /* close m loop */
  libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_cmp_instruction, l_gp_reg_mapping.gp_reg_mloop, i_xgemm_desc->m );
  libxsmm_x86_instruction_jump_back_to_label( io_generated_code, l_micro_kernel_config.alu_jmp_instruction, &l_loop_label_tracker );

  /* close asm */
  libxsmm_x86_instruction_close_stream( io_generated_code, &l_gp_reg_mapping, i_arch, i_xgemm_desc->prefetch );
}
LIBXSMM_API_INTERN
void libxsmm_generator_spgemm_csc_asparse( libxsmm_generated_code*        io_generated_code,
                                           const libxsmm_gemm_descriptor* i_xgemm_desc,
                                           const char*                    i_arch,
                                           const unsigned int*            i_row_idx,
                                           const unsigned int*            i_column_idx,
                                           const double*                  i_values ) {
  char l_new_code[512];
  int l_max_code_length = 511;
  int l_code_length = 0;
  unsigned int l_k;
  unsigned int l_flop_count = 0;

  LIBXSMM_UNUSED(i_arch);
  LIBXSMM_UNUSED(i_values);

  /* loop over columns in C in generated code, we fully unroll inside each column */
  l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  unsigned int l_n = 0;\n  #pragma nounroll_and_jam\n  for ( l_n = 0; l_n < %u; l_n++) {\n", (unsigned int)i_xgemm_desc->n);
  libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );

  /* reset the current column in C if needed */
  if (0 != (LIBXSMM_GEMM_FLAG_BETA_0 & i_xgemm_desc->flags)) { /* Beta=0 */
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    unsigned int l_m = 0;\n");
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    if ( i_xgemm_desc->m > 1 ) {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "   #pragma simd\n");
      libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
    }
    if ( LIBXSMM_GEMM_PRECISION_F64 == LIBXSMM_GETENUM_INP( i_xgemm_desc->datatype )  ) {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    for ( l_m = 0; l_m < %u; l_m++) {\n      C[(l_n*%u)+l_m] = 0.0;\n    }\n", (unsigned int)i_xgemm_desc->m, (unsigned int)i_xgemm_desc->ldc);
    } else {
      l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    for ( l_m = 0; l_m < %u; l_m++) {\n      C[(l_n*%u)+l_m] = 0.0f;\n    }\n", (unsigned int)i_xgemm_desc->m, (unsigned int)i_xgemm_desc->ldc);
    }
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
  }

  assert(0 != i_column_idx);
  /* loop over columns in A, rows in B and fully unroll */
  for ( l_k = 0; l_k < (unsigned int)i_xgemm_desc->k; l_k++ ) {
    unsigned int l_column_elements = i_column_idx[l_k + 1] - i_column_idx[l_k];
    unsigned int l_z = 0;

    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#if defined(__SSE3__) || defined(__AVX__)\n");
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );

    if ( l_column_elements > 0 ) {
      if ( LIBXSMM_GEMM_PRECISION_F64 == LIBXSMM_GETENUM_INP( i_xgemm_desc->datatype )  ) {
        l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#if defined(__SSE3__) && defined(__AVX__)\n    __m256d b%u = _mm256_broadcast_sd(&B[(l_n*%u)+%u]);\n#endif\n", l_k, (unsigned int)i_xgemm_desc->ldb, l_k);
        libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
        l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#if defined(__SSE3__) && !defined(__AVX__)\n    __m128d b%u = _mm_loaddup_pd(&B[(l_n*%u)+%u]);\n#endif\n", l_k, (unsigned int)i_xgemm_desc->ldb, l_k);
        libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
      } else {
        l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#if defined(__SSE3__) && defined(__AVX__)\n    __m128 b%u = _mm_broadcast_ss(&B[(l_n*%u)+%u]);\n#endif\n", l_k, (unsigned int)i_xgemm_desc->ldb, l_k);
        libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
        l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#if defined(__SSE3__) && !defined(__AVX__)\n    __m128 b%u = _mm_load_ss(&B[(l_n*%u)+%u]);    b%u = _mm_shuffle_ps(b%u, b%u, 0x00);\n#endif\n", l_k, (unsigned int)i_xgemm_desc->ldb, l_k, l_k, l_k, l_k);
        libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
      }
    }

    /* loop over the columns of A and look for vectorization potential */
    for ( l_z = 0; l_z < l_column_elements; l_z++ ) {
      assert(0 != i_row_idx);
      /* 4 element vector might be possible */
      if ( (l_z < (l_column_elements - 3)) && (l_column_elements > 3) ) {
        /* check for 256bit vector instruction */
        if ((i_row_idx[i_column_idx[l_k] + l_z] + 1 == i_row_idx[i_column_idx[l_k] + l_z + 1]) &&
            (i_row_idx[i_column_idx[l_k] + l_z] + 2 == i_row_idx[i_column_idx[l_k] + l_z + 2]) &&
            (i_row_idx[i_column_idx[l_k] + l_z] + 3 == i_row_idx[i_column_idx[l_k] + l_z + 3]) &&
            (i_row_idx[i_column_idx[l_k] + l_z + 3] < (unsigned int)i_xgemm_desc->m)) {
          libxsmm_sparse_csc_asparse_innerloop_four_vector(io_generated_code, i_xgemm_desc, l_k, l_z, i_row_idx, i_column_idx);
          l_z += 3;
        /* check for 128bit vector instruction */
        } else if ((i_row_idx[i_column_idx[l_k] + l_z] + 1 == i_row_idx[i_column_idx[l_k] + l_z + 1]) &&
                   (i_row_idx[i_column_idx[l_k] + l_z + 1] < (unsigned int)i_xgemm_desc->m) ) {
          libxsmm_sparse_csc_asparse_innerloop_two_vector(io_generated_code, i_xgemm_desc, l_k, l_z, i_row_idx, i_column_idx);
          l_z++;
        /* scalar instruction */
        } else {
          if ( (i_row_idx[i_column_idx[l_k] + l_z] < (unsigned int)i_xgemm_desc->m) ) {
            libxsmm_sparse_csc_asparse_innerloop_scalar(io_generated_code, i_xgemm_desc, l_k, l_z, i_row_idx, i_column_idx);
          }
        }
      /* 2 element vector might be possible */
      } else if ( (l_z < (l_column_elements - 1)) && (l_column_elements > 1)) {
        /* check for 128bit vector instruction */
        if ((i_row_idx[i_column_idx[l_k] + l_z] + 1 == i_row_idx[i_column_idx[l_k] + l_z + 1]) &&
            (i_row_idx[i_column_idx[l_k] + l_z + 1] < (unsigned int)i_xgemm_desc->m) ) {
          libxsmm_sparse_csc_asparse_innerloop_two_vector(io_generated_code, i_xgemm_desc, l_k, l_z, i_row_idx, i_column_idx);
          l_z++;
        /* scalar instruction */
        } else {
          if ( (i_row_idx[i_column_idx[l_k] + l_z] < (unsigned int)i_xgemm_desc->m) ) {
            libxsmm_sparse_csc_asparse_innerloop_scalar(io_generated_code, i_xgemm_desc, l_k, l_z, i_row_idx, i_column_idx);
          }
        }
      /* scalar anyways */
      } else {
        if ( (i_row_idx[i_column_idx[l_k] + l_z] < (unsigned int)i_xgemm_desc->m) ) {
          libxsmm_sparse_csc_asparse_innerloop_scalar(io_generated_code, i_xgemm_desc, l_k, l_z, i_row_idx, i_column_idx);
        }
      }
    }

    /* C fallback code */
    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#else\n");
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );

    /* loop over the columns of A */
    for ( l_z = 0; l_z < l_column_elements; l_z++ ) {
      if ( (i_row_idx[i_column_idx[l_k] + l_z] < (unsigned int)i_xgemm_desc->m) ) {
        l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "    C[(l_n*%u)+%u] += A[%u] * B[(l_n*%u)+%u];\n", (unsigned int)i_xgemm_desc->ldc, i_row_idx[i_column_idx[l_k] + l_z], i_column_idx[l_k] + l_z, (unsigned int)i_xgemm_desc->ldb, l_k );
        libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
        l_flop_count += 2;
      }
    }

    l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "#endif\n\n");
    libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
  }

  l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "  }\n");
  libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );

  /* add flop counter */
  l_code_length = LIBXSMM_SNPRINTF(l_new_code, l_max_code_length, "\n#ifndef NDEBUG\n#ifdef _OPENMP\n#pragma omp atomic\n#endif\nlibxsmm_num_total_flops += %u;\n#endif\n", l_flop_count * i_xgemm_desc->n);
  libxsmm_append_code_as_string( io_generated_code, l_new_code, l_code_length );
}
示例#5
0
LIBXSMM_API_INTERN void libxsmm_generator_gemm_rm_ac_soa_avx256_512( libxsmm_generated_code*         io_generated_code,
                                                                     const libxsmm_gemm_descriptor*  i_xgemm_desc,
                                                                     const char*                     i_arch ) {
  unsigned int l_soa_width = 0;
  unsigned int l_max_reg_block = 0;
  unsigned int l_n1_range = 0;
  unsigned int l_n2_range = 0;
  unsigned int l_n1_block = 0;
  unsigned int l_n2_block = 0;

  libxsmm_micro_kernel_config l_micro_kernel_config;
  libxsmm_loop_label_tracker l_loop_label_tracker;
  libxsmm_gp_reg_mapping l_gp_reg_mapping;

  /* select soa width */
  if ( LIBXSMM_GEMM_PRECISION_F64 == LIBXSMM_GETENUM_INP( i_xgemm_desc->datatype )  ) {
    if ( strcmp(i_arch, "knl") == 0 ||
         strcmp(i_arch, "knm") == 0 ||
         strcmp(i_arch, "skx") == 0 ||
         strcmp(i_arch, "clx") == 0 ||
         strcmp(i_arch, "cpx") == 0 ) {
      l_soa_width = 8;
      l_max_reg_block = 28;
    } else {
      l_soa_width = 4;
      l_max_reg_block = 14;
    }
  } else {
    if ( strcmp(i_arch, "knl") == 0 ||
         strcmp(i_arch, "knm") == 0 ||
         strcmp(i_arch, "skx") == 0 ||
         strcmp(i_arch, "clx") == 0 ||
         strcmp(i_arch, "cpx") == 0 ) {
      l_soa_width = 16;
      l_max_reg_block = 28;
    } else {
      l_soa_width = 8;
      l_max_reg_block = 14;
    }
  }

  /* define gp register mapping */
  libxsmm_reset_x86_gp_reg_mapping( &l_gp_reg_mapping );
  /* matching calling convention on Linux */
#if defined(_WIN32) || defined(__CYGWIN__)
  l_gp_reg_mapping.gp_reg_a = LIBXSMM_X86_GP_REG_RCX;
  l_gp_reg_mapping.gp_reg_b = LIBXSMM_X86_GP_REG_RDX;
  l_gp_reg_mapping.gp_reg_c = LIBXSMM_X86_GP_REG_R8;
  /* TODO: full support for Windows calling convention */
  l_gp_reg_mapping.gp_reg_a_prefetch = LIBXSMM_X86_GP_REG_RDI;
  l_gp_reg_mapping.gp_reg_b_prefetch = LIBXSMM_X86_GP_REG_RSI;
#else /* match calling convention on Linux */
  l_gp_reg_mapping.gp_reg_a = LIBXSMM_X86_GP_REG_RDI;
  l_gp_reg_mapping.gp_reg_b = LIBXSMM_X86_GP_REG_RSI;
  l_gp_reg_mapping.gp_reg_c = LIBXSMM_X86_GP_REG_RDX;
  l_gp_reg_mapping.gp_reg_a_prefetch = LIBXSMM_X86_GP_REG_RCX;
  l_gp_reg_mapping.gp_reg_b_prefetch = LIBXSMM_X86_GP_REG_R8;
#endif
  l_gp_reg_mapping.gp_reg_c_prefetch = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_mloop = LIBXSMM_X86_GP_REG_R12;
  l_gp_reg_mapping.gp_reg_nloop = LIBXSMM_X86_GP_REG_R13;
  l_gp_reg_mapping.gp_reg_kloop = LIBXSMM_X86_GP_REG_R14;
  l_gp_reg_mapping.gp_reg_help_0 = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_help_1 = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_help_2 = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_help_3 = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_help_4 = LIBXSMM_X86_GP_REG_UNDEF;
  l_gp_reg_mapping.gp_reg_help_5 = LIBXSMM_X86_GP_REG_UNDEF;

  /* define loop_label_tracker */
  libxsmm_reset_loop_label_tracker( &l_loop_label_tracker );

  /* define the micro kernel code gen properties */
  libxsmm_generator_gemm_init_micro_kernel_config_fullvector( &l_micro_kernel_config, i_xgemm_desc, i_arch, 0 );

  /* calculate the chunk size of current columns to work on */
  if ( libxsmm_compute_equalized_blocking( i_xgemm_desc->n, l_max_reg_block, &l_n1_range, &l_n1_block, &l_n2_range, &l_n2_block ) ) {
    LIBXSMM_HANDLE_ERROR( io_generated_code, LIBXSMM_ERR_N_BLOCK );
    return;
  }

  /* open asm */
  libxsmm_x86_instruction_open_stream( io_generated_code, &l_gp_reg_mapping, i_arch, i_xgemm_desc->prefetch );

  /* m loop */
  libxsmm_x86_instruction_register_jump_back_label( io_generated_code, &l_loop_label_tracker );
  libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_add_instruction, l_gp_reg_mapping.gp_reg_mloop, 1 );

  /* loop over n-blocks */
  if ( l_n1_block == i_xgemm_desc->n ) {
    /* no N loop at all */
    libxsmm_generator_gemm_rm_ac_soa_avx256_512_kloop( io_generated_code, &l_loop_label_tracker, &l_gp_reg_mapping, &l_micro_kernel_config, i_xgemm_desc,
                                                         i_arch, l_soa_width, i_xgemm_desc->n );
  } else if ( (l_n1_range > 0) && (l_n2_range > 0) ) {
    /* reset n loop */
    libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_mov_instruction, l_gp_reg_mapping.gp_reg_nloop, 0 );

    /* we have two ranges */
    /* first range */
    libxsmm_x86_instruction_register_jump_back_label( io_generated_code, &l_loop_label_tracker );
    libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_add_instruction, l_gp_reg_mapping.gp_reg_nloop, l_n1_block );

    libxsmm_generator_gemm_rm_ac_soa_avx256_512_kloop( io_generated_code, &l_loop_label_tracker, &l_gp_reg_mapping, &l_micro_kernel_config, i_xgemm_desc,
                                                         i_arch, l_soa_width, l_n1_block );

    libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_cmp_instruction, l_gp_reg_mapping.gp_reg_nloop, l_n1_range );
    libxsmm_x86_instruction_jump_back_to_label( io_generated_code, l_micro_kernel_config.alu_jmp_instruction, &l_loop_label_tracker );

    /* second range */
    libxsmm_x86_instruction_register_jump_back_label( io_generated_code, &l_loop_label_tracker );
    libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_add_instruction, l_gp_reg_mapping.gp_reg_nloop, l_n2_block );

    libxsmm_generator_gemm_rm_ac_soa_avx256_512_kloop( io_generated_code, &l_loop_label_tracker, &l_gp_reg_mapping, &l_micro_kernel_config, i_xgemm_desc,
                                                         i_arch, l_soa_width, l_n2_block );

    libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_cmp_instruction, l_gp_reg_mapping.gp_reg_nloop, i_xgemm_desc->n );
    libxsmm_x86_instruction_jump_back_to_label( io_generated_code, l_micro_kernel_config.alu_jmp_instruction, &l_loop_label_tracker );

    /* reset B pointer */
    libxsmm_x86_instruction_alu_imm( io_generated_code,
                                     l_micro_kernel_config.alu_sub_instruction,
                                     l_gp_reg_mapping.gp_reg_b,
                                     i_xgemm_desc->n * l_micro_kernel_config.datatype_size );

    /* reset C pointer */
    libxsmm_x86_instruction_alu_imm( io_generated_code,
                                     l_micro_kernel_config.alu_sub_instruction,
                                     l_gp_reg_mapping.gp_reg_c,
                                     i_xgemm_desc->n * l_soa_width * l_micro_kernel_config.datatype_size );
  } else if ( (l_n1_range > 0) && (l_n2_range == 0) ) {
    /* reset n loop */
    libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_mov_instruction, l_gp_reg_mapping.gp_reg_nloop, 0 );

    /* we have one range */
    libxsmm_x86_instruction_register_jump_back_label( io_generated_code, &l_loop_label_tracker );
    libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_add_instruction, l_gp_reg_mapping.gp_reg_nloop, l_n1_block );

    libxsmm_generator_gemm_rm_ac_soa_avx256_512_kloop( io_generated_code, &l_loop_label_tracker, &l_gp_reg_mapping, &l_micro_kernel_config, i_xgemm_desc,
                                                         i_arch, l_soa_width, l_n1_block );

    libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_cmp_instruction, l_gp_reg_mapping.gp_reg_nloop, i_xgemm_desc->n );
    libxsmm_x86_instruction_jump_back_to_label( io_generated_code, l_micro_kernel_config.alu_jmp_instruction, &l_loop_label_tracker );

    /* reset B pointer */
    libxsmm_x86_instruction_alu_imm( io_generated_code,
                                     l_micro_kernel_config.alu_sub_instruction,
                                     l_gp_reg_mapping.gp_reg_b,
                                     i_xgemm_desc->n * l_micro_kernel_config.datatype_size );

    /* reset C pointer */
    libxsmm_x86_instruction_alu_imm( io_generated_code,
                                     l_micro_kernel_config.alu_sub_instruction,
                                     l_gp_reg_mapping.gp_reg_c,
                                     i_xgemm_desc->n * l_soa_width * l_micro_kernel_config.datatype_size );
  } else {
    LIBXSMM_HANDLE_ERROR( io_generated_code, LIBXSMM_ERR_N_BLOCK );
    return;
  }

  /* advance A pointer */
  libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_add_instruction, l_gp_reg_mapping.gp_reg_a,
                                   l_micro_kernel_config.datatype_size*l_soa_width*i_xgemm_desc->lda);

  /* advance C pointer */
  libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_add_instruction, l_gp_reg_mapping.gp_reg_c,
                                   l_micro_kernel_config.datatype_size*l_soa_width*i_xgemm_desc->ldc);

  /* close m loop */
  libxsmm_x86_instruction_alu_imm( io_generated_code, l_micro_kernel_config.alu_cmp_instruction, l_gp_reg_mapping.gp_reg_mloop, i_xgemm_desc->m );
  libxsmm_x86_instruction_jump_back_to_label( io_generated_code, l_micro_kernel_config.alu_jmp_instruction, &l_loop_label_tracker );

  /* close asm */
  libxsmm_x86_instruction_close_stream( io_generated_code, &l_gp_reg_mapping, i_arch, i_xgemm_desc->prefetch );
}