自学教程：C++ FLA_Obj_create函数代码示例

FLA_Error FLA_Obj_create_complex_constant( double const_real, double const_imag, FLA_Obj *obj ){  int*      temp_i;  float*    temp_s;  double*   temp_d;  scomplex* temp_c;  dcomplex* temp_z;  if ( FLA_Check_error_level() >= FLA_MIN_ERROR_CHECKING )    FLA_Obj_create_complex_constant_check( const_real, const_imag, obj );  FLA_Obj_create( FLA_CONSTANT, 1, 1, 0, 0, obj );#ifdef FLA_ENABLE_SCC  if ( !FLA_is_owner() )    return FLA_SUCCESS;#endif  temp_i       = FLA_INT_PTR( *obj );  temp_s       = FLA_FLOAT_PTR( *obj );  temp_d       = FLA_DOUBLE_PTR( *obj );  temp_c       = FLA_COMPLEX_PTR( *obj );  temp_z       = FLA_DOUBLE_COMPLEX_PTR( *obj );  *temp_i      = ( int   ) const_real;  *temp_s      = ( float ) const_real;  *temp_d      =           const_real;  temp_c->real = ( float ) const_real;  temp_c->imag = ( float ) const_imag;  temp_z->real =           const_real;  temp_z->imag =           const_imag;  return FLA_SUCCESS;}

FLA_Error FLA_Norm_inf( FLA_Obj A, FLA_Obj norm ){  FLA_Obj AT,              A0,          AB,              a1t,                           A2;  FLA_Obj bT,              b0,          bB,              beta1,                           b2;  FLA_Obj b;  if ( FLA_Check_error_level() >= FLA_MIN_ERROR_CHECKING )    FLA_Norm_inf_check( A, norm );  FLA_Obj_create( FLA_Obj_datatype( A ), FLA_Obj_length( A ), 1, 0, 0, &b );  FLA_Part_2x1( A,    &AT,                       &AB,            0, FLA_TOP );  FLA_Part_2x1( b,    &bT,                       &bB,            0, FLA_TOP );  while ( FLA_Obj_length( AT ) < FLA_Obj_length( A ) ){    FLA_Repart_2x1_to_3x1( AT,                &A0,                         /* ** */            /* *** */                                              &a1t,                            AB,                &A2,        1, FLA_BOTTOM );    FLA_Repart_2x1_to_3x1( bT,                &b0,                         /* ** */            /* ***** */                                              &beta1,                            bB,                &b2,        1, FLA_BOTTOM );    /*------------------------------------------------------------*/    FLA_Asum( a1t, beta1 );    /*------------------------------------------------------------*/    FLA_Cont_with_3x1_to_2x1( &AT,                A0,                                                   a1t,                             /* ** */           /* *** */                              &AB,                A2,     FLA_TOP );    FLA_Cont_with_3x1_to_2x1( &bT,                b0,                                                   beta1,                             /* ** */           /* ***** */                              &bB,                b2,     FLA_TOP );  }  FLA_Max_abs_value( b, norm );  FLA_Obj_free( &b );  return FLA_SUCCESS;}

FLA_Error FLA_Bidiag_UT_create_T( FLA_Obj A, FLA_Obj* TU, FLA_Obj* TV ){  FLA_Datatype datatype;  dim_t        b_alg, k;  dim_t        rs_T, cs_T;  // Query the datatype of A.  datatype = FLA_Obj_datatype( A );  // Query the blocksize from the library.  b_alg = FLA_Query_blocksize( datatype, FLA_DIMENSION_MIN );  // Scale the blocksize by a pre-set global constant.  b_alg = ( dim_t )( ( ( double ) b_alg ) * FLA_BIDIAG_INNER_TO_OUTER_B_RATIO );  // Query the minimum dimension of A.  k = FLA_Obj_min_dim( A );  b_alg = 5;  // Adjust the blocksize with respect to the min-dim of A.  b_alg = min( b_alg, k );    // Figure out whether TU and TV should be row-major or column-major.  if ( FLA_Obj_row_stride( A ) == 1 )  {    rs_T = 1;              cs_T = b_alg;        }  else // if ( FLA_Obj_col_stride( A ) == 1 )  {    rs_T = k;    cs_T = 1;  }  // Create two b_alg x k matrices to hold the block Householder transforms  // that will be accumulated within the bidiagonal reduction algorithm.  // If the matrix dimension has a zero dimension, apply_q complains it.  if ( TU != NULL ) FLA_Obj_create( datatype, b_alg, k, rs_T, cs_T, TU );  if ( TV != NULL ) FLA_Obj_create( datatype, b_alg, k, rs_T, cs_T, TV );  return FLA_SUCCESS;}

int main( int argc, char** argv ) {  FLA_Datatype testtype = TESTTYPE;  FLA_Datatype realtype = REALTYPE;  dim_t        m;  FLA_Obj      a, b;  FLA_Error    init_result;   if ( argc == 2 ) {    m = atoi(argv[1]);  } else {    fprintf(stderr, "       /n");    fprintf(stderr, "Usage: %s m/n", argv[0]);    fprintf(stderr, "       m       : test vector length/n");    fprintf(stderr, "       /n");    return -1;  }  if ( m == 0 )    return 0;  FLA_Init_safe( &init_result );              FLA_Obj_create( testtype, m, 1, 0, 0, &a );  FLA_Random_matrix( a );  FLA_Obj_fshow( stdout,  "- a -", a, "% 6.4e", "--" );  FLA_Obj_create( realtype, 1, m, 0, 0, &b );    FLA_Obj_extract_real_part( a, b );  FLA_Obj_fshow( stdout,  "- a real -", b, "% 6.4e", "--" );  FLA_Obj_extract_imag_part( a, b );  FLA_Obj_fshow( stdout,  "- a imag -", b, "% 6.4e", "--" );  FLA_Obj_free( &b );  FLA_Obj_free( &a );  FLA_Finalize_safe( init_result );     }

FLA_Error FLA_LQ_UT_create_T( FLA_Obj A, FLA_Obj* T ){  FLA_Datatype datatype;  dim_t        b_alg, k;  dim_t        rs_T, cs_T;  // Query the datatype of A.  datatype = FLA_Obj_datatype( A );  // Query the blocksize from the library.  b_alg = FLA_Query_blocksize( datatype, FLA_DIMENSION_MIN );  // Scale the blocksize by a pre-set global constant.  b_alg = ( dim_t )( ( ( double ) b_alg ) * FLA_LQ_INNER_TO_OUTER_B_RATIO );  // Adjust the blocksize with respect to the min-dim of A.  b_alg = min(b_alg, FLA_Obj_min_dim( A ));  // Query the length of A.  k = FLA_Obj_length( A );  // Figure out whether T should be row-major or column-major.  if ( FLA_Obj_row_stride( A ) == 1 )  {    rs_T = 1;    cs_T = b_alg;  }  else // if ( FLA_Obj_col_stride( A ) == 1 )  {    rs_T = k;    cs_T = 1;  }  // Create a b_alg x k matrix to hold the block Householder transforms that  // will be accumulated within the LQ factorization algorithm.  FLA_Obj_create( datatype, b_alg, k, rs_T, cs_T, T );  return FLA_SUCCESS;}

void fill_eigenvalues( FLA_Obj l ){  FLA_Obj lT,              l0,          lB,              lambda1,                           l2;  FLA_Obj alpha;  FLA_Obj_create( FLA_Obj_datatype( l ), 1, 1, 0, 0, &alpha );  FLA_Copy( FLA_ONE, alpha );  FLA_Part_2x1( l,    &lT,                       &lB,            0, FLA_TOP );  while ( FLA_Obj_length( lT ) < FLA_Obj_length( l ) ){    FLA_Repart_2x1_to_3x1( lT,                &l0,                         /* ** */            /* ******* */                                              &lambda1,                            lB,                &l2,        1, FLA_BOTTOM );    /*------------------------------------------------------------*/    FLA_Copy( alpha, lambda1 );    FLA_Mult_add( FLA_ONE, FLA_ONE, alpha );    /*------------------------------------------------------------*/    FLA_Cont_with_3x1_to_2x1( &lT,                l0,                                                   lambda1,                             /* ** */           /* ******* */                              &lB,                l2,     FLA_TOP );  }  FLA_Obj_free( &alpha );}

int main(int argc, char *argv[]){  int     datatype,    m_input, n_input,    m, n,    p_first, p_last, p_inc,    p,    n_repeats,    param_combo,    i,    n_param_combos = N_PARAM_COMBOS;    char *colors = "brkgmcbrkgmcbrkgmc";  char *ticks  = "o+*xso+*xso+*xso+*xs";  char m_dim_desc[14];  char n_dim_desc[14];  char m_dim_tag[10];  char n_dim_tag[10];  double max_gflops=6.0;  double    dtime,    gflops,    diff;  FLA_Obj    A, B, C, C_ref;    FLA_Init( );  fprintf( stdout, "%c number of repeats:", '%' );  scanf( "%d", &n_repeats );  fprintf( stdout, "%c %d/n", '%', n_repeats );  fprintf( stdout, "%c enter problem size first, last, inc:", '%' );  scanf( "%d%d%d", &p_first, &p_last, &p_inc );  fprintf( stdout, "%c %d %d %d/n", '%', p_first, p_last, p_inc );  fprintf( stdout, "%c enter m n (-1 means bind to problem size): ", '%' );  scanf( "%d%d", &m_input, &n_input );  fprintf( stdout, "%c %d %d/n", '%', m_input, n_input );  fprintf( stdout, "/nclear all;/n/n" );  if     ( m_input >  0 ) {    sprintf( m_dim_desc, "m = %d", m_input );    sprintf( m_dim_tag,  "m%dc", m_input);  }  else if( m_input <  -1 ) {    sprintf( m_dim_desc, "m = p/%d", -m_input );    sprintf( m_dim_tag,  "m%dp", -m_input );  }  else if( m_input == -1 ) {    sprintf( m_dim_desc, "m = p" );    sprintf( m_dim_tag,  "m%dp", 1 );  }  if     ( n_input >  0 ) {    sprintf( n_dim_desc, "n = %d", n_input );    sprintf( n_dim_tag,  "n%dc", n_input);  }  else if( n_input <  -1 ) {    sprintf( n_dim_desc, "n = p/%d", -n_input );    sprintf( n_dim_tag,  "n%dp", -n_input );  }  else if( n_input == -1 ) {    sprintf( n_dim_desc, "n = p" );    sprintf( n_dim_tag,  "n%dp", 1 );  }  //datatype = FLA_FLOAT;  //datatype = FLA_DOUBLE;  //datatype = FLA_COMPLEX;  datatype = FLA_DOUBLE_COMPLEX;  for ( p = p_first, i = 1; p <= p_last; p += p_inc, i += 1 )  {    m = m_input;    n = n_input;    if( m < 0 ) m = p / abs(m_input);    if( n < 0 ) n = p / abs(n_input);    for ( param_combo = 0; param_combo < n_param_combos; param_combo++ ){            // If multiplying A on the left, A is m x m; ...on the right, A is n x n.      if ( pc_str[param_combo][0] == 'l' )        FLA_Obj_create( datatype, m, m, 0, 0, &A );      else        FLA_Obj_create( datatype, n, n, 0, 0, &A );      FLA_Obj_create( datatype, m, n, 0, 0, &B );      FLA_Obj_create( datatype, m, n, 0, 0, &C );      FLA_Obj_create( datatype, m, n, 0, 0, &C_ref );//.........这里部分代码省略.........

void time_Lyap(                int param_combo, int type, int nrepeats, int m,                FLA_Obj isgn, FLA_Obj A, FLA_Obj C, FLA_Obj scale,                double *dtime, double *diff, double *gflops ){  int    irep;  double    dtime_old = 1.0e9;  FLA_Obj    C_save, norm;  if ( param_combo == 0 && type == FLA_ALG_FRONT )  {    *gflops = 0.0;    *diff   = 0.0;    return;  }  FLASH_Obj_create_conf_to( FLA_NO_TRANSPOSE, C, &C_save );  FLA_Obj_create( FLA_Obj_datatype_proj_to_real( C ), 1, 1, 0, 0, &norm );  FLASH_Copy( C, C_save );  for ( irep = 0 ; irep < nrepeats; irep++ )  {    FLASH_Copy( C_save, C );    *dtime = FLA_Clock();    switch( param_combo ){    case 0:{      switch( type ){      //case FLA_ALG_REFERENCE:      //  REF_Lyap( FLA_NO_TRANSPOSE, isgn, A_flat, C_flat, scale );      //  break;      case FLA_ALG_FRONT:        FLASH_Lyap( FLA_NO_TRANSPOSE, isgn, A, C, scale );        break;      default:        printf("trouble/n");      }      break;    }    case 1:{      switch( type ){      //case FLA_ALG_REFERENCE:      //  REF_Lyap( FLA_CONJ_TRANSPOSE, isgn, A_flat, C_flat, scale );      //  break;      case FLA_ALG_FRONT:        FLASH_Lyap( FLA_CONJ_TRANSPOSE, isgn, A, C, scale );        break;      default:        printf("trouble/n");      }      break;    }    }    *dtime = FLA_Clock() - *dtime;    dtime_old = min( *dtime, dtime_old );  }/*  if ( type == FLA_ALG_REFERENCE )  {    FLASH_Obj_hierarchify( C_flat, C_ref );    *diff = 0.0;  }  else  {    *diff = FLASH_Max_elemwise_diff( C, C_ref );  }*/  {    FLA_Obj X, W;    FLASH_Obj_create_conf_to( FLA_NO_TRANSPOSE, C, &X );    FLASH_Obj_create_conf_to( FLA_NO_TRANSPOSE, C, &W );    FLASH_Copy( C, X );    FLASH_Hermitianize( FLA_UPPER_TRIANGULAR, X );    if ( param_combo == 0 )    {      FLASH_Gemm( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,   FLA_ONE, A, X, FLA_ZERO, W );      FLASH_Gemm( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE, FLA_ONE, X, A, FLA_ONE,  W );    }    else if ( param_combo == 1 )    {      FLASH_Gemm( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, FLA_ONE, A, X, FLA_ZERO, W );      FLASH_Gemm( FLA_NO_TRANSPOSE,   FLA_NO_TRANSPOSE, FLA_ONE, X, A, FLA_ONE,  W );//.........这里部分代码省略.........

int main(int argc, char *argv[]){  int     datatype,    m_input,    m,    p_first, p_last, p_inc,    p,    nb_alg,    variant,    n_repeats,    i, j,    n_variants = N_VARIANTS;    char *colors = "brkgmcbrkg";  char *ticks  = "o+*xso+*xs";  char m_dim_desc[14];  char m_dim_tag[10];  double max_gflops=6.0;    double    dtime,    gflops,    diff;  FLA_Obj    A, b, b_orig, norm;    FLA_Init();  fprintf( stdout, "%c number of repeats:", '%' );  scanf( "%d", &n_repeats );  fprintf( stdout, "%c %d/n", '%', n_repeats );  fprintf( stdout, "%c Enter blocking size:", '%' );  scanf( "%d", &nb_alg );  fprintf( stdout, "%c %d/n", '%', nb_alg );  fprintf( stdout, "%c enter problem size first, last, inc:", '%' );  scanf( "%d%d%d", &p_first, &p_last, &p_inc );  fprintf( stdout, "%c %d %d %d/n", '%', p_first, p_last, p_inc );  fprintf( stdout, "%c enter m (-1 means bind to problem size): ", '%' );  scanf( "%d", &m_input );  fprintf( stdout, "%c %d/n", '%', m_input );  fprintf( stdout, "/nclear all;/n/n" );  if     ( m_input >  0 ) {    sprintf( m_dim_desc, "m = %d", m_input );    sprintf( m_dim_tag,  "m%dc", m_input);  }  else if( m_input <  -1 ) {    sprintf( m_dim_desc, "m = p/%d", -m_input );    sprintf( m_dim_tag,  "m%dp", -m_input );  }  else if( m_input == -1 ) {    sprintf( m_dim_desc, "m = p" );    sprintf( m_dim_tag,  "m%dp", 1 );  }  //datatype = FLA_FLOAT;  //datatype = FLA_DOUBLE;  //datatype = FLA_COMPLEX;  datatype = FLA_DOUBLE_COMPLEX;  for ( p = p_first, i = 1; p <= p_last; p += p_inc, i += 1 )  {    m = m_input;    if( m < 0 ) m = p / f2c_abs(m_input);    FLA_Obj_create( datatype, m, m, 0, 0, &A );    FLA_Obj_create( datatype, m, 1, 0, 0, &b );    FLA_Obj_create( datatype, m, 1, 0, 0, &b_orig );/*    FLA_Obj_create( datatype, m, m, m, 1, &A );    FLA_Obj_create( datatype, m, 1, 1, 1, &b );    FLA_Obj_create( datatype, m, 1, 1, 1, &b_orig );*/    if ( FLA_Obj_is_single_precision( A ) )      FLA_Obj_create( FLA_FLOAT, 1, 1, 0, 0, &norm );    else      FLA_Obj_create( FLA_DOUBLE, 1, 1, 0, 0, &norm );    FLA_Random_tri_matrix( FLA_UPPER_TRIANGULAR, FLA_NONUNIT_DIAG, A );    FLA_Random_matrix( b );    FLA_Copy_external( b, b_orig );/*    time_Trinv_un( 0, FLA_ALG_REFERENCE, n_repeats, m, nb_alg,                   A, b, b_orig, norm, &dtime, &diff, &gflops );//.........这里部分代码省略.........

int main(int argc, char *argv[]){  int     datatype,    m_input, n_input,    m, n, min_m_n,    p_first, p_last, p_inc,    pp,    pivot_combo,    n_repeats,    i,    n_pivot_combos = N_PIVOT_COMBOS;    char *colors = "brkgmcbrkg";  char *ticks  = "o+*xso+*xs";  char m_dim_desc[14];  char n_dim_desc[14];  char m_dim_tag[10];  char n_dim_tag[10];  double max_gflops=6.0;  double    dtime,    gflops,    diff;  FLA_Obj    C, b, b_orig, b_norm;    FLA_Init();  fprintf( stdout, "%c number of repeats:", '%' );  scanf( "%d", &n_repeats );  fprintf( stdout, "%c %d/n", '%', n_repeats );  fprintf( stdout, "%c enter problem size first, last, inc:", '%' );  scanf( "%d%d%d", &p_first, &p_last, &p_inc );  fprintf( stdout, "%c %d %d %d/n", '%', p_first, p_last, p_inc );  fprintf( stdout, "%c enter m n (-1 means bind to problem size): ", '%' );  scanf( "%d %d", &m_input, &n_input );  fprintf( stdout, "%c %d %d/n", '%', m_input, n_input );  fprintf( stdout, "/nclear all;/n/n" );  if     ( m_input >  0 ) {    sprintf( m_dim_desc, "m = %d", m_input );    sprintf( m_dim_tag,  "m%dc", m_input);  }  else if( m_input <  -1 ) {    sprintf( m_dim_desc, "m = p/%d", -m_input );    sprintf( m_dim_tag,  "m%dp", -m_input );  }  else if( m_input == -1 ) {    sprintf( m_dim_desc, "m = p" );    sprintf( m_dim_tag,  "m%dp", 1 );  }  if     ( n_input >  0 ) {    sprintf( n_dim_desc, "n = %d", n_input );    sprintf( n_dim_tag,  "n%dc", n_input);  }  else if( n_input <  -1 ) {    sprintf( n_dim_desc, "n = p/%d", -n_input );    sprintf( n_dim_tag,  "n%dp", -n_input );  }  else if( n_input == -1 ) {    sprintf( n_dim_desc, "n = p" );    sprintf( n_dim_tag,  "n%dp", 1 );  }  //datatype = FLA_FLOAT;  //datatype = FLA_DOUBLE;  //datatype = FLA_COMPLEX;  datatype = FLA_DOUBLE_COMPLEX;  for ( pp = p_first, i = 1; pp <= p_last; pp += p_inc, i += 1 )  {    m = m_input;    n = n_input;    if( m < 0 ) m = pp / abs(m_input);    if( n < 0 ) n = pp / abs(n_input);    min_m_n = min( m, n );    for ( pivot_combo = 0; pivot_combo < n_pivot_combos; pivot_combo++ ){            FLA_Obj_create( datatype, m, n, 0, 0, &C );      FLA_Obj_create( datatype, m, 1, 0, 0, &b );      FLA_Obj_create( datatype, m, 1, 0, 0, &b_orig );      if ( FLA_Obj_is_single_precision( C ) )        FLA_Obj_create( FLA_FLOAT, 1, 1, 0, 0, &b_norm );      else        FLA_Obj_create( FLA_DOUBLE, 1, 1, 0, 0, &b_norm );//.........这里部分代码省略.........

int main(int argc, char *argv[]){  int     m_input,    m,    p_first, p_last, p_inc,    p,    k_accum,    b_alg,    n_iter_max,    variant,    n_repeats,    i,    n_variants = 2;  char *colors = "brkgmcbrkg";  char *ticks  = "o+*xso+*xs";  char m_dim_desc[14];  char m_dim_tag[10];  double max_gflops=6.0;  double    dtime,    gflops,    diff1, diff2;  FLA_Datatype datatype, dt_real;  FLA_Obj    A, l, Q, Ql, TT, r, d, e, A_orig, G, R, W2, de, alpha;  FLA_Init();  fprintf( stdout, "%c number of repeats:", '%' );  scanf( "%d", &n_repeats );  fprintf( stdout, "%c %d/n", '%', n_repeats );  fprintf( stdout, "%c enter n_iter_max (per eigenvalue): ", '%' );  scanf( "%d", &n_iter_max );  fprintf( stdout, "%c %d/n", '%', n_iter_max );  fprintf( stdout, "%c enter number of sets of Givens rotations to accumulate:", '%' );  scanf( "%d", &k_accum );  fprintf( stdout, "%c %d/n", '%', k_accum );  fprintf( stdout, "%c enter blocking size for application of G:", '%' );  scanf( "%d", &b_alg );  fprintf( stdout, "%c %d/n", '%', b_alg );  fprintf( stdout, "%c enter problem size first, last, inc:", '%' );  scanf( "%d%d%d", &p_first, &p_last, &p_inc );  fprintf( stdout, "%c %d %d %d/n", '%', p_first, p_last, p_inc );  fprintf( stdout, "%c enter m (-1 means bind to problem size): ", '%' );  scanf( "%d", &m_input );  fprintf( stdout, "%c %d/n", '%', m_input );  fprintf( stdout, "/n" );  if     ( m_input >  0 ) {    sprintf( m_dim_desc, "m = %d", m_input );    sprintf( m_dim_tag,  "m%dc", m_input);  }  else if( m_input <  -1 ) {    sprintf( m_dim_desc, "m = p/%d", -m_input );    sprintf( m_dim_tag,  "m%dp", -m_input );  }  else if( m_input == -1 ) {    sprintf( m_dim_desc, "m = p" );    sprintf( m_dim_tag,  "m%dp", 1 );  }  for ( p = p_first, i = 1; p <= p_last; p += p_inc, i += 1 )  {    m = m_input;    if( m < 0 ) m = p / abs(m_input);    //datatype = FLA_FLOAT;    //datatype = FLA_DOUBLE;    //datatype = FLA_COMPLEX;    datatype = FLA_DOUBLE_COMPLEX;    FLA_Obj_create( datatype,  m,         m, 0, 0, &A );    FLA_Obj_create( datatype,  m,         m, 0, 0, &A_orig );    FLA_Obj_create( datatype,  m,         m, 0, 0, &Q );    FLA_Obj_create( datatype,  m,         m, 0, 0, &Ql );    FLA_Obj_create( datatype,  m,         1, 0, 0, &r );    FLA_Obj_create( datatype,  m,         m, 0, 0, &W2 );    FLA_Obj_create( datatype,  m-1, k_accum, 0, 0, &G );	dt_real = FLA_Obj_datatype_proj_to_real( A );    FLA_Obj_create( dt_real, m,      1, 0, 0, &l );//.........这里部分代码省略.........

FLA_Error FLA_Svd_uv_unb_var1( dim_t n_iter_max, FLA_Obj A, FLA_Obj s, FLA_Obj U, FLA_Obj V, dim_t k_accum, dim_t b_alg ){    FLA_Error    r_val = FLA_SUCCESS;    FLA_Datatype dt;    FLA_Datatype dt_real;    FLA_Datatype dt_comp;    FLA_Obj      scale, T, S, rL, rR, d, e, G, H;    dim_t        m_A, n_A;    dim_t        min_m_n;    dim_t        n_GH;    double       crossover_ratio = 17.0 / 9.0;    n_GH    = k_accum;    m_A     = FLA_Obj_length( A );    n_A     = FLA_Obj_width( A );    min_m_n = FLA_Obj_min_dim( A );    dt      = FLA_Obj_datatype( A );    dt_real = FLA_Obj_datatype_proj_to_real( A );    dt_comp = FLA_Obj_datatype_proj_to_complex( A );    // Create matrices to hold block Householder transformations.    FLA_Bidiag_UT_create_T( A, &T, &S );    // Create vectors to hold the realifying scalars.    FLA_Obj_create( dt,      min_m_n,      1, 0, 0, &rL );    FLA_Obj_create( dt,      min_m_n,      1, 0, 0, &rR );    // Create vectors to hold the diagonal and sub-diagonal.    FLA_Obj_create( dt_real, min_m_n,      1, 0, 0, &d );    FLA_Obj_create( dt_real, min_m_n-1,    1, 0, 0, &e );    // Create matrices to hold the left and right Givens scalars.    FLA_Obj_create( dt_comp, min_m_n-1, n_GH, 0, 0, &G );    FLA_Obj_create( dt_comp, min_m_n-1, n_GH, 0, 0, &H );    // Create a real scaling factor.    FLA_Obj_create( dt_real, 1, 1, 0, 0, &scale );    // Compute a scaling factor; If none is needed, sigma will be set to one.    FLA_Svd_compute_scaling( A, scale );    // Scale the matrix if scale is non-unit.    if ( !FLA_Obj_equals( scale, FLA_ONE ) )        FLA_Scal( scale, A );    if ( m_A < crossover_ratio * n_A )    {        // Reduce the matrix to bidiagonal form.        // Apply scalars to rotate elements on the superdiagonal to the real domain.        // Extract the diagonal and superdiagonal from A.        FLA_Bidiag_UT( A, T, S );        FLA_Bidiag_UT_realify( A, rL, rR );        FLA_Bidiag_UT_extract_real_diagonals( A, d, e );        // Form U and V.        FLA_Bidiag_UT_form_U( A, T, U );        FLA_Bidiag_UT_form_V( A, S, V );        // Apply the realifying scalars in rL and rR to U and V, respectively.        {            FLA_Obj UL, UR;            FLA_Obj VL, VR;            FLA_Part_1x2( U,   &UL, &UR,   min_m_n, FLA_LEFT );            FLA_Part_1x2( V,   &VL, &VR,   min_m_n, FLA_LEFT );            FLA_Apply_diag_matrix( FLA_RIGHT, FLA_CONJUGATE,    rL, UL );            FLA_Apply_diag_matrix( FLA_RIGHT, FLA_NO_CONJUGATE, rR, VL );        }        // Perform a singular value decomposition on the bidiagonal matrix.        r_val = FLA_Bsvd_v_opt_var1( n_iter_max, d, e, G, H, U, V, b_alg );    }    else // if ( crossover_ratio * n_A <= m_A )    {        FLA_Obj TQ, R;        FLA_Obj AT,                AB;        FLA_Obj UL, UR;        // Perform a QR factorization on A and form Q in U.        FLA_QR_UT_create_T( A, &TQ );        FLA_QR_UT( A, TQ );        FLA_QR_UT_form_Q( A, TQ, U );        FLA_Obj_free( &TQ );        // Set the lower triangle of R to zero and then copy the upper        // triangle of A to R.        FLA_Part_2x1( A,   &AT,                           &AB,   n_A, FLA_TOP );        FLA_Obj_create( dt, n_A, n_A, 0, 0, &R );        FLA_Setr( FLA_LOWER_TRIANGULAR, FLA_ZERO, R );        FLA_Copyr( FLA_UPPER_TRIANGULAR, AT, R );        // Reduce the matrix to bidiagonal form.        // Apply scalars to rotate elements on the superdiagonal to the real domain.        // Extract the diagonal and superdiagonal from A.        FLA_Bidiag_UT( R, T, S );        FLA_Bidiag_UT_realify( R, rL, rR );//.........这里部分代码省略.........

//.........这里部分代码省略.........  precision = FLA_DOUBLE_PRECISION;  for ( p = p_first, i = 1; p <= p_last; p += p_inc, i += 1 )  {    m = m_input;    k = k_input;    n = n_input;    if( m < 0 ) m = p / f2c_abs(m_input);    if( k < 0 ) k = p / f2c_abs(k_input);    if( n < 0 ) n = p / f2c_abs(n_input);    for ( param_combo = 0; param_combo < n_param_combos; param_combo++ ){      // Determine datatype based on trans argument.      if ( pc_str[param_combo][0] == 'c' ||           pc_str[param_combo][1] == 'c' )      {        if ( precision == FLA_SINGLE_PRECISION )          datatype = FLA_COMPLEX;        else          datatype = FLA_DOUBLE_COMPLEX;      }      else      {        if ( precision == FLA_SINGLE_PRECISION )          datatype = FLA_FLOAT;        else          datatype = FLA_DOUBLE;      }      // If transposing A, switch dimensions.      if ( pc_str[param_combo][0] == 'n' )        FLA_Obj_create( datatype, m, k, 0, 0, &A );      else        FLA_Obj_create( datatype, k, m, 0, 0, &A );            // If transposing B, switch dimensions.      if ( pc_str[param_combo][1] == 'n' )        FLA_Obj_create( datatype, k, n, 0, 0, &B );      else        FLA_Obj_create( datatype, n, k, 0, 0, &B );      FLA_Obj_create( datatype, m, n, 0, 0, &C );      FLA_Obj_create( datatype, m, n, 0, 0, &C_ref );      FLA_Random_matrix( A );      FLA_Random_matrix( B );      FLA_Random_matrix( C );      FLA_Copy_external( C, C_ref );            fprintf( stdout, "data_gemm_%s( %d, 1:5 ) = [ %4d %4d %4d  ", pc_str[param_combo], i, m, k, n );      fflush( stdout );      time_Gemm( param_combo, FLA_ALG_REFERENCE, n_repeats, m, k, n,                 A, B, C, C_ref, &dtime, &diff, &gflops );      fprintf( stdout, "%6.3lf %6.2le ", gflops, diff );      fflush( stdout );/*      time_Gemm( param_combo, FLA_ALG_FRONT, n_repeats, m, k, n,                 A, B, C, C_ref, &dtime, &diff, &gflops );      fprintf( stdout, "%6.3lf %6.2le ", gflops, diff );

int main(int argc, char *argv[]){  int n, nfirst, nlast, ninc, nlast_unb, i, irep,    nrepeats, nb_alg;  double    dtime, dtime_best,     gflops, max_gflops,    diff, d_n;  FLA_Obj    A, Aref, Aold, delta;    /* Initialize FLAME */  FLA_Init( );  /* Every time trial is repeated "repeat" times and the fastest run in recorded */  printf( "%% number of repeats:" );  scanf( "%d", &nrepeats );  printf( "%% %d/n", nrepeats );  /* Enter the max GFLOPS attainable      This is used to set the y-axis range for the graphs. Here is how     you figure out what to enter (on Linux machines):     1) more /proc/cpuinfo   (this lists the contents of this file).     2) read through this and figure out the clock rate of the machine (in GHz).     3) Find out (from an expert of from the web) the number of floating point        instructions that can be performed per core per clock cycle.     4) Figure out if you are using "multithreaded BLAS" which automatically        parallelize calls to the Basic Linear Algebra Subprograms.  If so,        check how many cores are available.     5) Multiply 2) x 3) x 4) and enter this in response to the below.     If you enter a value for max GFLOPS that is lower that the maximum that     is observed in the experiments, then the top of the graph is set to the      observed maximum.  Thus, one possibility is to simply set this to 0.0.  */  printf( "%% enter max GFLOPS:" );  scanf( "%lf", &max_gflops );  printf( "%% %lf/n", max_gflops );  /* Enter the algorithmic block size */  printf( "%% enter nb_alg:" );  scanf( "%d", &nb_alg );  printf( "%% %d/n", nb_alg );  /* Timing trials for matrix sizes n=nfirst to nlast in increments      of ninc will be performed.  Unblocked versions are only tested to     nlast_unb */  printf( "%% enter nfirst, nlast, ninc, nlast_unb:" );  scanf( "%d%d%d%d", &nfirst, &nlast, &ninc, &nlast_unb );  printf( "%% %d %d %d %d/n", nfirst, nlast, ninc, nlast_unb );  i = 1;  for ( n=nfirst; n<= nlast; n+=ninc ){       /* Allocate space for the matrices */    FLA_Obj_create( FLA_DOUBLE, n, n, 1, n, &A );    FLA_Obj_create( FLA_DOUBLE, n, n, 1, n, &Aref );    FLA_Obj_create( FLA_DOUBLE, n, n, 1, n, &Aold );    FLA_Obj_create( FLA_DOUBLE, 1, 1, 1, 1, &delta );    /* Generate random matrix A and save in Aold */    FLA_Random_matrix( Aold );    /* Add something large to the diagonal to make sure it isn't ill-conditionsed */    d_n = ( double ) n;    *( ( double * ) FLA_Obj_buffer_at_view( delta ) ) = d_n;    FLA_Shift_diag( FLA_NO_CONJUGATE, delta, Aold );        /* Set gflops = billions of floating point operations that will be performed */    gflops = 1.0/3.0 * n * n * n * 1.0e-09;    /* Time the reference implementation */#if TIME_LAPACK == TRUE#else    //    if ( n <= nlast_unb )#endif    {      for ( irep=0; irep<nrepeats; irep++ ){	FLA_Copy( Aold, Aref );    	dtime = FLA_Clock();    	REF_Chol( TIME_LAPACK, Aref, nb_alg );    	dtime = FLA_Clock() - dtime;    	if ( irep == 0 ) 	  dtime_best = dtime;	else	  dtime_best = ( dtime < dtime_best ? dtime : dtime_best );      }        printf( "data_REF( %d, 1:2 ) = [ %d %le ];/n", i, n,	      gflops / dtime_best );      fflush( stdout );    }  //.........这里部分代码省略.........

FLA_Error REF_Svdd_uv_components( FLA_Obj A, FLA_Obj s, FLA_Obj U, FLA_Obj V,                                  double* dtime_bred, double* dtime_bsvd, double* dtime_appq,                                  double* dtime_qrfa, double* dtime_gemm )/*{  *dtime_bred = 1;  *dtime_bsvd = 1;  *dtime_appq = 1;  *dtime_qrfa = 1;  *dtime_gemm = 1;  return FLA_Svdd_external( FLA_SVD_VECTORS_ALL, A, s, U, V );}*/{  FLA_Datatype dt_A;  FLA_Datatype dt_A_real;  dim_t        m_A, n_A;  dim_t        min_m_n;  FLA_Obj      tq, tu, tv, d, e, Ur, Vr, W;  FLA_Obj      eT, epsilonB;  FLA_Uplo     uplo = FLA_UPPER_TRIANGULAR;  double       crossover_ratio = 16.0 / 10.0;  double       dtime_temp;  dt_A      = FLA_Obj_datatype( A );  dt_A_real = FLA_Obj_datatype_proj_to_real( A );  m_A       = FLA_Obj_length( A );  n_A       = FLA_Obj_width( A );  min_m_n   = FLA_Obj_min_dim( A );  FLA_Obj_create( dt_A,      min_m_n, 1,   0, 0, &tq );  FLA_Obj_create( dt_A,      min_m_n, 1,   0, 0, &tu );  FLA_Obj_create( dt_A,      min_m_n, 1,   0, 0, &tv );  FLA_Obj_create( dt_A_real, min_m_n, 1,   0, 0, &d );  FLA_Obj_create( dt_A_real, min_m_n, 1,   0, 0, &e );  FLA_Obj_create( dt_A_real, n_A,     n_A, 0, 0, &Ur );  FLA_Obj_create( dt_A_real, n_A,     n_A, 0, 0, &Vr );  FLA_Part_2x1( e,   &eT,                     &epsilonB,    1, FLA_BOTTOM );  if ( m_A >= n_A )  {    if ( m_A < crossover_ratio * n_A )    {      dtime_temp = FLA_Clock();      {        // Reduce to bidiagonal form.        FLA_Bidiag_blk_external( A, tu, tv );        FLA_Bidiag_UT_extract_diagonals( A, d, eT );      }      *dtime_bred = FLA_Clock() - dtime_temp;      dtime_temp = FLA_Clock();      {        // Divide-and-conquor algorithm.        FLA_Bsvdd_external( uplo, d, e, Ur, Vr );      }      *dtime_bsvd = FLA_Clock() - dtime_temp;      dtime_temp = FLA_Clock();      {        // Form U.        FLA_Copy_external( Ur, U );        FLA_Bidiag_apply_U_external( FLA_LEFT, FLA_NO_TRANSPOSE, A, tu, U );        // Form V.        FLA_Copy_external( Vr, V );        FLA_Bidiag_apply_V_external( FLA_RIGHT, FLA_CONJ_TRANSPOSE, A, tv, V );      }      *dtime_appq = FLA_Clock() - dtime_temp;      *dtime_qrfa = 0.0;      *dtime_gemm = 0.0;    }    else    {      FLA_Obj AT,              AB;      FLA_Obj UL, UR;      FLA_Part_2x1( A,   &AT,                         &AB,        n_A, FLA_TOP );      FLA_Part_1x2( U,   &UL, &UR,   n_A, FLA_LEFT );      // Create a temporary n-by-n matrix R.      FLA_Obj_create( dt_A, n_A, n_A, 0, 0, &W );      dtime_temp = FLA_Clock();      {        // Perform a QR factorization.        FLA_QR_blk_external( A, tq );        FLA_Copyr_external( FLA_LOWER_TRIANGULAR, A, UL );//.........这里部分代码省略.........

FLA_Error FLA_Svd_uv_var2_components( dim_t n_iter_max, dim_t k_accum, dim_t b_alg,                                      FLA_Obj A, FLA_Obj s, FLA_Obj U, FLA_Obj V,                                      double* dtime_bred, double* dtime_bsvd, double* dtime_appq,                                      double* dtime_qrfa, double* dtime_gemm ){	FLA_Error    r_val = FLA_SUCCESS;	FLA_Datatype dt;	FLA_Datatype dt_real;	FLA_Datatype dt_comp;	FLA_Obj      T, S, rL, rR, d, e, G, H, RG, RH, W;	dim_t        m_A, n_A;	dim_t        min_m_n;	dim_t        n_GH;	double       crossover_ratio = 17.0 / 9.0;	double       dtime_temp;	n_GH    = k_accum;	m_A     = FLA_Obj_length( A );	n_A     = FLA_Obj_width( A );	min_m_n = FLA_Obj_min_dim( A );	dt      = FLA_Obj_datatype( A );	dt_real = FLA_Obj_datatype_proj_to_real( A );	dt_comp = FLA_Obj_datatype_proj_to_complex( A );	// If the matrix is a scalar, then the SVD is easy.	if ( min_m_n == 1 )	{		FLA_Copy( A, s );		FLA_Set_to_identity( U );		FLA_Set_to_identity( V );		return FLA_SUCCESS;	}	// Create matrices to hold block Householder transformations.	FLA_Bidiag_UT_create_T( A, &T, &S );	// Create vectors to hold the realifying scalars.	FLA_Obj_create( dt,      min_m_n,      1, 0, 0, &rL );	FLA_Obj_create( dt,      min_m_n,      1, 0, 0, &rR );	// Create vectors to hold the diagonal and sub-diagonal.	FLA_Obj_create( dt_real, min_m_n,      1, 0, 0, &d );	FLA_Obj_create( dt_real, min_m_n-1,    1, 0, 0, &e );	// Create matrices to hold the left and right Givens scalars.	FLA_Obj_create( dt_comp, min_m_n-1, n_GH, 0, 0, &G );	FLA_Obj_create( dt_comp, min_m_n-1, n_GH, 0, 0, &H );	// Create matrices to hold the left and right Givens matrices.	FLA_Obj_create( dt_real, min_m_n, min_m_n, 0, 0, &RG );	FLA_Obj_create( dt_real, min_m_n, min_m_n, 0, 0, &RH );	FLA_Obj_create( dt,      m_A,     n_A,     0, 0, &W );	if ( m_A >= n_A )	{		if ( m_A < crossover_ratio * n_A )		{			dtime_temp = FLA_Clock();			{			// Reduce the matrix to bidiagonal form.			// Apply scalars to rotate elements on the sub-diagonal to the real domain.			// Extract the diagonal and sub-diagonal from A.			FLA_Bidiag_UT( A, T, S );			FLA_Bidiag_UT_realify( A, rL, rR );			FLA_Bidiag_UT_extract_diagonals( A, d, e );			}			*dtime_bred = FLA_Clock() - dtime_temp;			dtime_temp = FLA_Clock();			{			// Form U and V.			FLA_Bidiag_UT_form_U( A, T, U );			FLA_Bidiag_UT_form_V( A, S, V );			}			*dtime_appq = FLA_Clock() - dtime_temp;			// Apply the realifying scalars in rL and rR to U and V, respectively.			{				FLA_Obj UL, UR;				FLA_Obj VL, VR;				FLA_Part_1x2( U,   &UL, &UR,   min_m_n, FLA_LEFT );				FLA_Part_1x2( V,   &VL, &VR,   min_m_n, FLA_LEFT );				FLA_Apply_diag_matrix( FLA_RIGHT, FLA_CONJUGATE,    rL, UL );				FLA_Apply_diag_matrix( FLA_RIGHT, FLA_NO_CONJUGATE, rR, VL );			}			dtime_temp = FLA_Clock();			{			// Perform a singular value decomposition on the bidiagonal matrix.			r_val = FLA_Bsvd_v_opt_var2( n_iter_max, d, e, G, H, RG, RH, W, U, V, b_alg );			}			*dtime_bsvd = FLA_Clock() - dtime_temp;		}		else // if ( crossover_ratio * n_A <= m_A )		{			FLA_Obj TQ, R;//.........这里部分代码省略.........

FLA_Error FLA_Hess_UT_step_unb_var2( FLA_Obj A, FLA_Obj T ){  FLA_Obj  ATL,   ATR,      A00,  a01,     A02,            ABL,   ABR,      a10t, alpha11, a12t,                            A20,  a21,     A22;  FLA_Obj  TTL,   TTR,      T00,  t01,   T02,            TBL,   TBR,      t10t, tau11, t12t,                            T20,  t21,   T22;  FLA_Obj  yT,              y0,           yB,              psi1,                            y2;  FLA_Obj  zT,              z0,           zB,              zeta1,                            z2;  FLA_Obj  y, z;             FLA_Obj  inv_tau11;  FLA_Obj  minus_inv_tau11;  FLA_Obj  first_elem;  FLA_Obj  beta;  FLA_Obj  conj_beta;  FLA_Obj  dot_product;  FLA_Obj  a21_t,           a21_b;  FLA_Datatype datatype_A;  dim_t        m_A;  dim_t        b_alg;  b_alg      = FLA_Obj_length( T );  datatype_A = FLA_Obj_datatype( A );  m_A        = FLA_Obj_length( A );  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &inv_tau11 );  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &minus_inv_tau11 );  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &first_elem );  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &beta );  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &conj_beta );  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &dot_product );  FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &y );  FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );  FLA_Part_2x2( A,    &ATL, &ATR,                      &ABL, &ABR,     0, 0, FLA_TL );  FLA_Part_2x2( T,    &TTL, &TTR,                      &TBL, &TBR,     0, 0, FLA_TL );  FLA_Part_2x1( y,    &yT,                       &yB,            0, FLA_TOP );  FLA_Part_2x1( z,    &zT,                       &zB,            0, FLA_TOP );  while ( FLA_Obj_length( ATL ) < b_alg )  {    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,                        /* ************* */   /* ************************** */                                                &a10t, /**/ &alpha11, &a12t,                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,                           1, 1, FLA_BR );    FLA_Repart_2x2_to_3x3( TTL, /**/ TTR,       &T00,  /**/ &t01,   &T02,                        /* ************* */   /* ************************** */                                                &t10t, /**/ &tau11, &t12t,                           TBL, /**/ TBR,       &T20,  /**/ &t21,   &T22,                           1, 1, FLA_BR );    FLA_Repart_2x1_to_3x1( yT,                &y0,                         /* ** */            /* **** */                                              &psi1,                            yB,                &y2,        1, FLA_BOTTOM );    FLA_Repart_2x1_to_3x1( zT,                &z0,                         /* ** */            /* ***** */                                              &zeta1,                            zB,                &z2,        1, FLA_BOTTOM );    /*------------------------------------------------------------*/    if ( FLA_Obj_length( A22 ) > 0 )    {      FLA_Part_2x1( a21,    &a21_t,                            &a21_b,        1, FLA_TOP );      // [ u21, tau11, a21 ] = House( a21 );      FLA_Househ2_UT( FLA_LEFT,                      a21_t,                      a21_b, tau11 );      // inv_tau11            =  1 / tau11;      // minus_inv_tau11      = -1 / tau11;      FLA_Set( FLA_ONE, inv_tau11 );      FLA_Inv_scalc( FLA_NO_CONJUGATE, tau11, inv_tau11 );      FLA_Copy( inv_tau11, minus_inv_tau11 );      FLA_Scal( FLA_MINUS_ONE, minus_inv_tau11 );      // Save first element of a21_t and set it to one so we can use a21 as      // u21 in subsequent computations. We will restore a21_t later on.      FLA_Copy( a21_t, first_elem );      FLA_Set( FLA_ONE, a21_t );      // y21 = A22' * u21;//.........这里部分代码省略.........

int main( int argc, char *argv[] ) {    int      i, j,      n_threads,      n_repeats,      n_trials,      increment,      begin,      sorting,      caching,      work_stealing,      data_affinity;   dim_t      size,      nb_alg;   FLA_Datatype      datatype = FLA_DOUBLE;   FLA_Inv          inv = FLA_NO_INVERSE;   FLA_Uplo      uplo = FLA_LOWER_TRIANGULAR;   FLA_Obj       A, B, x, b, b_norm,      AH, BH;      double       length,      b_norm_value = 0.0,      dtime,       *dtimes,      *flops;#ifndef FLA_ENABLE_WINDOWS_BUILD   char      output_file_m[100];      FILE      *fpp;#endif   fprintf( stdout, "%c Enter number of repeats: ", '%' );   scanf( "%d", &n_repeats );   fprintf( stdout, "%c %d/n", '%', n_repeats );   fprintf( stdout, "%c Enter blocksize: ", '%' );   scanf( "%u", &nb_alg );   fprintf( stdout, "%c %u/n", '%', nb_alg );   fprintf( stdout, "%c Enter problem size parameters: first, inc, num: ", '%' );   scanf( "%d%d%d", &begin, &increment, &n_trials );   fprintf( stdout, "%c %d %d %d/n", '%', begin, increment, n_trials );   fprintf( stdout, "%c Enter number of threads: ", '%' );   scanf( "%d", &n_threads );   fprintf( stdout, "%c %d/n", '%', n_threads );   fprintf( stdout, "%c Enter SuperMatrix parameters: sorting, caching, work stealing, data affinity: ", '%' );   scanf( "%d%d%d%d", &sorting, &caching, &work_stealing, &data_affinity );   fprintf( stdout, "%c %s %s %s %s/n/n", '%', ( sorting ? "TRUE" : "FALSE" ), ( caching ? "TRUE" : "FALSE" ), ( work_stealing ? "TRUE" : "FALSE" ), ( data_affinity ? ( data_affinity == 1 ? "FLASH_QUEUE_AFFINITY_2D_BLOCK_CYCLIC" : "FLASH_QUEUE_AFFINITY_OTHER" ) : "FLASH_QUEUE_AFFINITY_NONE" ) );#ifdef FLA_ENABLE_WINDOWS_BUILD   fprintf( stdout, "%s_%u = [/n", OUTPUT_FILE, nb_alg );#else   sprintf( output_file_m, "%s/%s_output.m", OUTPUT_PATH, OUTPUT_FILE );   fpp = fopen( output_file_m, "a" );   fprintf( fpp, "%%/n" );   fprintf( fpp, "%% | Matrix Size |    FLASH    |/n" );   fprintf( fpp, "%% |    n x n    |    GFlops   |/n" );   fprintf( fpp, "%% -----------------------------/n" );   fprintf( fpp, "%s_%u = [/n", OUTPUT_FILE, nb_alg );#endif   FLA_Init();   dtimes = ( double * ) FLA_malloc( n_repeats * sizeof( double ) );   flops  = ( double * ) FLA_malloc( n_trials  * sizeof( double ) );      FLASH_Queue_set_num_threads( n_threads );   FLASH_Queue_set_sorting( sorting );   FLASH_Queue_set_caching( caching );   FLASH_Queue_set_work_stealing( work_stealing );   FLASH_Queue_set_data_affinity( data_affinity );   for ( i = 0; i < n_trials; i++ )   {      size = begin + i * increment;            FLA_Obj_create( datatype, size, size, 0, 0, &A );       FLA_Obj_create( datatype, size, size, 0, 0, &B );       FLA_Obj_create( datatype, size, 1,    0, 0, &x );       FLA_Obj_create( datatype, size, 1,    0, 0, &b );       FLA_Obj_create( datatype, 1,    1,    0, 0, &b_norm );       //.........这里部分代码省略.........

int main(int argc, char *argv[]){  int     m_input,    m,    p_first, p_last, p_inc,    p,    n_repeats,    param_combo,    i,    n_param_combos = N_PARAM_COMBOS;  dim_t b_flash;  dim_t n_threads;  FLA_Datatype datatype;  FLA_Uplo     uplo;  FLA_Inv      inv;    char *colors = "brkgmcbrkg";  char *ticks  = "o+*xso+*xs";  char m_dim_desc[14];  char m_dim_tag[10];  double max_gflops=6.0;  double    dtime,    gflops,    diff;  FLA_Obj    A, B, norm;    FLA_Init();  fprintf( stdout, "%c number of repeats: ", '%' );  scanf( "%d", &n_repeats );  fprintf( stdout, "%c %d/n", '%', n_repeats );  fprintf( stdout, "%c enter FLASH blocksize: ", '%' );  scanf( "%u", &b_flash );  fprintf( stdout, "%c %u/n", '%', b_flash );  fprintf( stdout, "%c enter problem size first, last, inc: ", '%' );  scanf( "%d%d%d", &p_first, &p_last, &p_inc );  fprintf( stdout, "%c %d %d %d/n", '%', p_first, p_last, p_inc );  fprintf( stdout, "%c enter m (-1 means bind to problem size): ", '%' );  scanf( "%d", &m_input );  fprintf( stdout, "%c %d/n", '%', m_input );  fprintf( stdout, "%c enter the number of SuperMatrix threads: ", '%' );  scanf( "%d", &n_threads );  fprintf( stdout, "%c %d/n", '%', n_threads );  fprintf( stdout, "/n" );  if     ( m_input >  0 ) {    sprintf( m_dim_desc, "m = %d", m_input );    sprintf( m_dim_tag,  "m%dc", m_input);  }  else if( m_input <  -1 ) {    sprintf( m_dim_desc, "m = p/%d", -m_input );    sprintf( m_dim_tag,  "m%dp", -m_input );  }  else if( m_input == -1 ) {    sprintf( m_dim_desc, "m = p" );    sprintf( m_dim_tag,  "m%dp", 1 );  }  //datatype = FLA_FLOAT;  //datatype = FLA_DOUBLE;  //datatype = FLA_COMPLEX;  datatype = FLA_DOUBLE_COMPLEX;  FLASH_Queue_set_num_threads( n_threads );  for ( p = p_first, i = 1; p <= p_last; p += p_inc, i += 1 )  {    m = m_input;    if( m < 0 ) m = p / abs(m_input);    for ( param_combo = 0; param_combo < n_param_combos; param_combo++ ){      if ( pc_str[param_combo][0] == 'i' ) inv = FLA_INVERSE;      else                                 inv = FLA_NO_INVERSE;      if ( pc_str[param_combo][1] == 'l' ) uplo = FLA_LOWER_TRIANGULAR;      else                                 uplo = FLA_UPPER_TRIANGULAR;      FLASH_Obj_create( datatype, m, m, 1, &b_flash, &A );      FLASH_Obj_create( datatype, m, m, 1, &b_flash, &B );      FLA_Obj_create( FLA_Obj_datatype_proj_to_real( A ), 1, 1, 0, 0, &norm );//.........这里部分代码省略.........

void time_Apply_G_rf(               int variant, int type, int n_repeats, int m, int k, int n, int b_alg,               FLA_Obj A, FLA_Obj A_ref, FLA_Obj G, FLA_Obj P,               double *dtime, double *diff, double *gflops ){  int irep;  double    dtime_old = 1.0e9;  FLA_Obj    A_save, G_save, norm;  if ( FLA_Obj_is_real( A ) )  {    if (       //( variant == 1 && type == FLA_ALG_UNB_OPT ) ||       //( variant == 1 && type == FLA_ALG_UNB_ASM ) ||       //( variant == 1 && type == FLA_ALG_BLOCKED ) ||       //( variant == 2 && type == FLA_ALG_UNB_OPT ) ||       //( variant == 2 && type == FLA_ALG_UNB_ASM ) ||       //( variant == 2 && type == FLA_ALG_BLOCKED ) ||       //( variant == 3 && type == FLA_ALG_UNB_OPT ) ||       //( variant == 3 && type == FLA_ALG_UNB_ASM ) ||       //( variant == 3 && type == FLA_ALG_BLOCKED ) ||       //( variant == 6 && type == FLA_ALG_UNB_OPT ) ||       //( variant == 6 && type == FLA_ALG_UNB_ASM ) ||       //( variant == 6 && type == FLA_ALG_BLOCKED ) ||       //( variant == 9 && type == FLA_ALG_UNB_OPT ) ||       //( variant == 9 && type == FLA_ALG_UNB_ASM ) ||       //( variant == 9 && type == FLA_ALG_BLOCKED ) ||       ( variant == 4 ) ||       ( variant == 5 ) ||       ( variant == 7 ) ||       ( variant == 8 ) ||       FALSE    )     {      *gflops = 0.0;      *diff   = 0.0;      return;    }  }  else if ( FLA_Obj_is_complex( A ) )  {    if (       //( variant == 1 && type == FLA_ALG_UNB_OPT ) ||       //( variant == 1 && type == FLA_ALG_UNB_ASM ) ||       //( variant == 1 && type == FLA_ALG_BLOCKED ) ||       //( variant == 2 && type == FLA_ALG_UNB_OPT ) ||       //( variant == 2 && type == FLA_ALG_UNB_ASM ) ||       //( variant == 2 && type == FLA_ALG_BLOCKED ) ||       //( variant == 3 && type == FLA_ALG_UNB_OPT ) ||       //( variant == 3 && type == FLA_ALG_UNB_ASM ) ||       //( variant == 3 && type == FLA_ALG_BLOCKED ) ||       //( variant == 6 && type == FLA_ALG_UNB_OPT ) ||       //( variant == 6 && type == FLA_ALG_UNB_ASM ) ||       //( variant == 6 && type == FLA_ALG_BLOCKED ) ||       //( variant == 9 && type == FLA_ALG_UNB_OPT ) ||       //( variant == 9 && type == FLA_ALG_UNB_ASM ) ||       //( variant == 9 && type == FLA_ALG_BLOCKED ) ||       ( variant == 4 ) ||       ( variant == 5 ) ||       ( variant == 7 ) ||       ( variant == 8 ) ||       FALSE    )    {      *gflops = 0.0;      *diff   = 0.0;      return;    }  }  FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &A_save );  FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, G, &G_save );  FLA_Obj_create( FLA_Obj_datatype_proj_to_real( A ), 1, 1, 0, 0, &norm );  //dim_t b_flash_m = b_alg;  //dim_t b_flash_n = n;  //FLASH_Obj_create_hier_copy_of_flat_ext( A, 1, &b_flash_m, &b_flash_n, &AH ); //printf ( "flash dims: %d x %d/n", FLA_Obj_length( AH ), FLA_Obj_width( AH ) );  FLA_Copy_external( A, A_save );  FLA_Copy_external( G, G_save );  for ( irep = 0 ; irep < n_repeats; irep++ ){    FLA_Copy_external( A_save, A );    FLA_Copy_external( G_save, G );    //FLASH_Obj_hierarchify( A_save, AH );    *dtime = FLA_Clock();    switch( variant ){//.........这里部分代码省略.........

FLA_Error FLA_Hevd_lv_var4_components( dim_t n_iter_max, FLA_Obj A, FLA_Obj l, dim_t k_accum, dim_t b_alg,                                       double* dtime_tred, double* dtime_tevd, double* dtime_appq ){	FLA_Error    r_val = FLA_SUCCESS;	FLA_Uplo     uplo = FLA_LOWER_TRIANGULAR;	FLA_Datatype dt;	FLA_Datatype dt_real;	FLA_Datatype dt_comp;	FLA_Obj      T, r, d, e, G, R, W;	FLA_Obj      d0, e0, ls, pu;	dim_t        mn_A;	dim_t        n_G = k_accum;	double       dtime_temp;	mn_A    = FLA_Obj_length( A );	dt      = FLA_Obj_datatype( A );	dt_real = FLA_Obj_datatype_proj_to_real( A );	dt_comp = FLA_Obj_datatype_proj_to_complex( A );	*dtime_tred = 1;	*dtime_tevd = 1;	*dtime_appq = 1;	// If the matrix is a scalar, then the EVD is easy.	if ( mn_A == 1 )	{		FLA_Copy( A, l );		FLA_Set( FLA_ONE, A );		return FLA_SUCCESS;	}	// Create a matrix to hold block Householder transformations.	FLA_Tridiag_UT_create_T( A, &T );	// Create a vector to hold the realifying scalars.	FLA_Obj_create( dt,      mn_A,     1, 0, 0, &r );	// Create vectors to hold the diagonal and sub-diagonal.	FLA_Obj_create( dt_real, mn_A,     1, 0, 0, &d );	FLA_Obj_create( dt_real, mn_A-1,   1, 0, 0, &e );	FLA_Obj_create( dt_real, mn_A,     1, 0, 0, &d0 );	FLA_Obj_create( dt_real, mn_A-1,   1, 0, 0, &e0 );	FLA_Obj_create( dt_real, mn_A,     1, 0, 0, &pu );	FLA_Obj_create( FLA_INT, mn_A,     1, 0, 0, &ls );	FLA_Obj_create( dt_comp, mn_A-1, n_G, 0, 0, &G );	FLA_Obj_create( dt_real, mn_A,  mn_A, 0, 0, &R );	FLA_Obj_create( dt,      mn_A,  mn_A, 0, 0, &W );  dtime_temp = FLA_Clock();  {	// Reduce the matrix to tridiagonal form.	FLA_Tridiag_UT( uplo, A, T );  }  *dtime_tred = FLA_Clock() - dtime_temp;	// Apply scalars to rotate elements on the sub-diagonal to the real domain.	FLA_Tridiag_UT_realify( uplo, A, r );	// Extract the diagonal and sub-diagonal from A.	FLA_Tridiag_UT_extract_diagonals( uplo, A, d, e );  dtime_temp = FLA_Clock();  {	// Form Q, overwriting A.	FLA_Tridiag_UT_form_Q( uplo, A, T );  }  *dtime_appq = FLA_Clock() - dtime_temp;	// Apply the scalars in r to Q.	FLA_Apply_diag_matrix( FLA_RIGHT, FLA_CONJUGATE, r, A );	// Find the eigenvalues only.	FLA_Copy( d, d0 ); FLA_Copy( e, e0 );	//r_val = FLA_Tevd_n_opt_var1( n_iter_max, d0, e0, G, A );{	int info;	double* buff_d = FLA_DOUBLE_PTR( d0 );	double* buff_e = FLA_DOUBLE_PTR( e0 );	dsterf_( &mn_A, buff_d, buff_e, &info );}	FLA_Sort( FLA_FORWARD, d0 );	FLA_Set( FLA_ZERO, ls );	FLA_Set( FLA_ZERO, pu );  dtime_temp = FLA_Clock();  {	// Perform an eigenvalue decomposition on the tridiagonal matrix.	r_val = FLA_Tevd_v_opt_var4( n_iter_max, d, e, d0, ls, pu, G, R, W, A, b_alg );  }  *dtime_tevd = FLA_Clock() - dtime_temp;	// Copy the converged eigenvalues to the output vector.	FLA_Copy( d, l );	// Sort the eigenvalues and eigenvectors in ascending order.	FLA_Sort_evd( FLA_FORWARD, l, A );	FLA_Obj_free( &T );	FLA_Obj_free( &r );//.........这里部分代码省略.........

FLA_Error FLA_Bidiag_apply_V_external( FLA_Side side, FLA_Trans trans, FLA_Obj A, FLA_Obj t, FLA_Obj B ){  int          info = 0;#ifdef FLA_ENABLE_EXTERNAL_LAPACK_INTERFACES  FLA_Datatype datatype;  // int          m_A, n_A;  int          m_B, n_B;  int          cs_A;  int          cs_B;  int          k_t;  int          lwork;  FLA_Obj      work;  char         blas_side;  char         blas_vect = 'P';  char         blas_trans;  int          i;  //if ( FLA_Check_error_level() == FLA_FULL_ERROR_CHECKING )  //  FLA_Apply_Q_check( side, trans, storev, A, t, B );  if ( FLA_Obj_has_zero_dim( A ) ) return FLA_SUCCESS;  datatype = FLA_Obj_datatype( A );  // m_A      = FLA_Obj_length( A );  // n_A      = FLA_Obj_width( A );  cs_A     = FLA_Obj_col_stride( A );  m_B      = FLA_Obj_length( B );  n_B      = FLA_Obj_width( B );  cs_B     = FLA_Obj_col_stride( B );  if ( blas_vect == 'Q' ) k_t = FLA_Obj_vector_dim( t );  else                    k_t = FLA_Obj_vector_dim( t ) + 1;  if ( FLA_Obj_is_real( A ) && trans == FLA_CONJ_TRANSPOSE )    trans = FLA_TRANSPOSE;  FLA_Param_map_flame_to_netlib_side( side, &blas_side );  FLA_Param_map_flame_to_netlib_trans( trans, &blas_trans );  // Make a workspace query the first time through. This will provide us with  // and ideal workspace size based on an internal block size.  lwork = -1;  FLA_Obj_create( datatype, 1, 1, 0, 0, &work );  for ( i = 0; i < 2; ++i )  {    if ( i == 1 )    {      // Grab the queried ideal workspace size from the work array, free the      // work object, and then re-allocate the workspace with the ideal size.      if      ( datatype == FLA_FLOAT || datatype == FLA_COMPLEX )        lwork = ( int ) *FLA_FLOAT_PTR( work );      else if ( datatype == FLA_DOUBLE || datatype == FLA_DOUBLE_COMPLEX )        lwork = ( int ) *FLA_DOUBLE_PTR( work );      FLA_Obj_free( &work );      FLA_Obj_create( datatype, lwork, 1, 0, 0, &work );    }    switch( datatype ){      case FLA_FLOAT:    {      float *buff_A    = ( float * ) FLA_FLOAT_PTR( A );      float *buff_t    = ( float * ) FLA_FLOAT_PTR( t );      float *buff_B    = ( float * ) FLA_FLOAT_PTR( B );      float *buff_work = ( float * ) FLA_FLOAT_PTR( work );        F77_sormbr( &blas_vect,                  &blas_side,                  &blas_trans,                  &m_B,                  &n_B,                  &k_t,                  buff_A,    &cs_A,                  buff_t,                  buff_B,    &cs_B,                  buff_work, &lwork,                  &info );        break;    }      case FLA_DOUBLE:    {      double *buff_A    = ( double * ) FLA_DOUBLE_PTR( A );      double *buff_t    = ( double * ) FLA_DOUBLE_PTR( t );      double *buff_B    = ( double * ) FLA_DOUBLE_PTR( B );      double *buff_work = ( double * ) FLA_DOUBLE_PTR( work );        F77_dormbr( &blas_vect,                  &blas_side,                  &blas_trans,                  &m_B,                  &n_B,                  &k_t,                  buff_A,    &cs_A,//.........这里部分代码省略.........

void libfla_test_symm_experiment( test_params_t params,                                  unsigned int  var,                                  char*         sc_str,                                  FLA_Datatype  datatype,                                  unsigned int  p_cur,                                  unsigned int  pci,                                  unsigned int  n_repeats,                                  signed int    impl,                                  double*       perf,                                  double*       residual ){	dim_t        b_flash    = params.b_flash;	dim_t        b_alg_flat = params.b_alg_flat;	double       time_min   = 1e9;	double       time;	unsigned int i;	unsigned int m;	signed int   m_input    = -1;	unsigned int n;	signed int   n_input    = -1;	FLA_Side     side;	FLA_Uplo     uplo;	FLA_Obj      A, B, C, x, y, z, w, norm;	FLA_Obj      alpha, beta;	FLA_Obj      C_save;	FLA_Obj      A_test, B_test, C_test;	// Determine the dimensions.	if ( m_input < 0 ) m = p_cur / abs(m_input);	else               m = p_cur;	if ( n_input < 0 ) n = p_cur / abs(n_input);	else               n = p_cur;	// Translate parameter characters to libflame constants.	FLA_Param_map_char_to_flame_side( &pc_str[pci][0], &side );	FLA_Param_map_char_to_flame_uplo( &pc_str[pci][1], &uplo );	// Create the matrices for the current operation.	if ( side == FLA_LEFT )	{		libfla_test_obj_create( datatype, FLA_NO_TRANSPOSE, sc_str[0], m, m, &A );		// Create vectors for use in test.		FLA_Obj_create( datatype, n, 1, 0, 0, &x );		FLA_Obj_create( datatype, m, 1, 0, 0, &y );		FLA_Obj_create( datatype, m, 1, 0, 0, &z );		FLA_Obj_create( datatype, m, 1, 0, 0, &w );	}	else	{		libfla_test_obj_create( datatype, FLA_NO_TRANSPOSE, sc_str[0], n, n, &A );		// Create vectors for use in test.		FLA_Obj_create( datatype, n, 1, 0, 0, &x );		FLA_Obj_create( datatype, m, 1, 0, 0, &y );		FLA_Obj_create( datatype, m, 1, 0, 0, &z );		FLA_Obj_create( datatype, n, 1, 0, 0, &w );	}	libfla_test_obj_create( datatype, FLA_NO_TRANSPOSE, sc_str[1], m, n, &B );	libfla_test_obj_create( datatype, FLA_NO_TRANSPOSE, sc_str[2], m, n, &C );	// Create a norm scalar.	FLA_Obj_create( FLA_Obj_datatype_proj_to_real( A ), 1, 1, 0, 0, &norm );	// Initialize the test matrices.	FLA_Random_symm_matrix( uplo, A );	FLA_Random_matrix( B );	FLA_Random_matrix( C );	// Initialize the test vectors.	FLA_Random_matrix( x );    FLA_Set( FLA_ZERO, y );    FLA_Set( FLA_ZERO, z );    FLA_Set( FLA_ZERO, w );	// Set constants.	alpha = FLA_TWO;	beta  = FLA_MINUS_ONE;	// Save the original object contents in a temporary object.	FLA_Obj_create_copy_of( FLA_NO_TRANSPOSE, C, &C_save );	// Use hierarchical matrices if we're testing the FLASH front-end.	if ( impl == FLA_TEST_HIER_FRONT_END )	{		FLASH_Obj_create_hier_copy_of_flat( A, 1, &b_flash, &A_test );		FLASH_Obj_create_hier_copy_of_flat( B, 1, &b_flash, &B_test );		FLASH_Obj_create_hier_copy_of_flat( C, 1, &b_flash, &C_test );	}	else	{		A_test = A;		B_test = B;		C_test = C;	}	// Create a control tree for the individual variants.	if ( impl == FLA_TEST_FLAT_UNB_VAR ||	     impl == FLA_TEST_FLAT_OPT_VAR ||	     impl == FLA_TEST_FLAT_BLK_VAR ||//.........这里部分代码省略.........

FLA_Error FLA_Svd_compute_scaling( FLA_Obj A, FLA_Obj sigma ){	FLA_Datatype dt_real;	FLA_Obj      norm;	FLA_Obj      safmin;	FLA_Obj      prec;	FLA_Obj      rmin;	FLA_Obj      rmax;	if ( FLA_Check_error_level() >= FLA_MIN_ERROR_CHECKING )		FLA_Svd_compute_scaling_check( A, sigma );	dt_real = FLA_Obj_datatype_proj_to_real( A );	FLA_Obj_create( dt_real, 1, 1, 0, 0, &norm );	FLA_Obj_create( dt_real, 1, 1, 0, 0, &prec );	FLA_Obj_create( dt_real, 1, 1, 0, 0, &safmin );	FLA_Obj_create( dt_real, 1, 1, 0, 0, &rmin );	FLA_Obj_create( dt_real, 1, 1, 0, 0, &rmax );	// Query safmin, precision.	FLA_Mach_params( FLA_MACH_PREC,  prec );	FLA_Mach_params( FLA_MACH_SFMIN, safmin );//FLA_Obj_show( "safmin", safmin, "%20.12e", "" );//FLA_Obj_show( "prec", prec, "%20.12e", "" );	// rmin = sqrt( safmin ) / prec;	FLA_Copy( safmin, rmin );	FLA_Sqrt( rmin );	FLA_Inv_scal( prec, rmin );	// rmax = 1 / rmin;	FLA_Copy( rmin, rmax );	FLA_Invert( FLA_NO_CONJUGATE, rmax );//FLA_Obj_show( "rmin", rmin, "%20.12e", "" );//FLA_Obj_show( "rmax", rmax, "%20.12e", "" );	// Find the maximum absolute value of A.	FLA_Max_abs_value( A, norm );	if ( FLA_Obj_gt( norm, FLA_ZERO ) && FLA_Obj_lt( norm, rmin ) )	{		// sigma = rmin / norm;		FLA_Copy( rmin, sigma );		FLA_Inv_scal( norm, sigma );	}	else if ( FLA_Obj_gt( norm, rmax ) )	{		// sigma = rmax / norm;		FLA_Copy( rmax, sigma );		FLA_Inv_scal( norm, sigma );	}	else	{		// sigma = 1.0;		FLA_Copy( FLA_ONE, sigma );	}	FLA_Obj_free( &norm );	FLA_Obj_free( &prec );	FLA_Obj_free( &safmin );	FLA_Obj_free( &rmin );	FLA_Obj_free( &rmax );	return FLA_SUCCESS;}

int main( int argc, char *argv[] ) {    int      i, j,      n_threads,      n_repeats,      n_trials,      increment,      begin,      sorting,      caching,      work_stealing,      data_affinity;   dim_t      size,      nb_alg;   FLA_Datatype      datatype = FLA_DOUBLE;   FLA_Obj       A, x, b, b_norm,      AH, pH, bH;      double       b_norm_value,      dtime,       *dtimes,      *flops;#ifndef FLA_ENABLE_WINDOWS_BUILD   char      output_file_m[100];      FILE      *fpp;#endif   fprintf( stdout, "%c Enter number of repeats: ", '%' );   scanf( "%d", &n_repeats );   fprintf( stdout, "%c %d/n", '%', n_repeats );   fprintf( stdout, "%c Enter blocksize: ", '%' );   scanf( "%u", &nb_alg );   fprintf( stdout, "%c %u/n", '%', nb_alg );   fprintf( stdout, "%c Enter problem size parameters: first, inc, num: ", '%' );   scanf( "%d%d%d", &begin, &increment, &n_trials );   fprintf( stdout, "%c %d %d %d/n", '%', begin, increment, n_trials );   fprintf( stdout, "%c Enter number of threads: ", '%' );   scanf( "%d", &n_threads );   fprintf( stdout, "%c %d/n", '%', n_threads );   fprintf( stdout, "%c Enter SuperMatrix parameters: sorting, caching, work stealing, data affinity: ", '%' );   scanf( "%d%d%d%d", &sorting, &caching, &work_stealing, &data_affinity );   fprintf( stdout, "%c %s %s %s %s/n/n", '%', ( sorting ? "TRUE" : "FALSE" ), ( caching ? "TRUE" : "FALSE" ), ( work_stealing ? "TRUE" : "FALSE" ), ( data_affinity ? ( data_affinity == 1 ? "FLASH_QUEUE_AFFINITY_2D_BLOCK_CYCLIC" : "FLASH_QUEUE_AFFINITY_OTHER" ) : "FLASH_QUEUE_AFFINITY_NONE" ) );#ifdef FLA_ENABLE_WINDOWS_BUILD   fprintf( stdout, "%s_%u = [/n", OUTPUT_FILE, nb_alg );#else   sprintf( output_file_m, "%s/%s_output.m", OUTPUT_PATH, OUTPUT_FILE );   fpp = fopen( output_file_m, "a" );   fprintf( fpp, "%%/n" );   fprintf( fpp, "%% | Matrix Size |    FLASH    |/n" );   fprintf( fpp, "%% |    n x n    |    GFlops   |/n" );   fprintf( fpp, "%% -----------------------------/n" );   fprintf( fpp, "%s_%u = [/n", OUTPUT_FILE, nb_alg );#endif   FLA_Init();   dtimes = ( double * ) FLA_malloc( n_repeats * sizeof( double ) );   flops  = ( double * ) FLA_malloc( n_trials  * sizeof( double ) );      FLASH_Queue_set_num_threads( n_threads );   FLASH_Queue_set_sorting( sorting );   FLASH_Queue_set_caching( caching );   FLASH_Queue_set_work_stealing( work_stealing );   FLASH_Queue_set_data_affinity( data_affinity );   for ( i = 0; i < n_trials; i++ )   {      size = begin + i * increment;            FLA_Obj_create( datatype, size, size, 0, 0, &A );      FLA_Obj_create( datatype, size, 1,    0, 0, &x );      FLA_Obj_create( datatype, size, 1,    0, 0, &b );      FLA_Obj_create( datatype, 1,    1,    0, 0, &b_norm );      for ( j = 0; j < n_repeats; j++ )      {         FLA_Random_matrix( A );         FLA_Random_matrix( b );         FLASH_Obj_create_hier_copy_of_flat( A, 1, &nb_alg, &AH );         FLASH_Obj_create( FLA_INT,    size, 1, 1, &nb_alg, &pH );         FLASH_Obj_create_hier_copy_of_flat( b, 1, &nb_alg, &bH );//.........这里部分代码省略.........

//.........这里部分代码省略.........  for ( p = p_first, i = 1; p <= p_last; p += p_inc, i += 1 )  {    m = m_input;    n = n_input;    if( m < 0 ) m = p / abs(m_input);    if( n < 0 ) n = p / abs(n_input);    for ( param_combo = 0; param_combo < n_param_combos; param_combo++ ){      // Determine datatype based on trans argument.      if ( pc_str[param_combo][1] == 'c' )      {        if ( precision == FLA_SINGLE_PRECISION )          datatype = FLA_COMPLEX;        else          datatype = FLA_DOUBLE_COMPLEX;      }      else      {        if ( precision == FLA_SINGLE_PRECISION )          datatype = FLA_FLOAT;        else          datatype = FLA_DOUBLE;      }      bm = nb_alg / 4;      bn = nb_alg;      // If multiplying Q on the left, A is m x m; ...on the right, A is n x n.      if ( pc_str[param_combo][0] == 'l' )      {        FLA_Obj_create( datatype, nb_alg, nb_alg, &A_flat );        FLASH_Obj_create( datatype, nb_alg, nb_alg, 1, &nb_alg, &A );        FLASH_Obj_create( datatype, nb_alg, nb_alg, 1, &nb_alg, &A_save );        FLA_Obj_create( datatype, bm, bn, &T_flat );        FLASH_Obj_create_ext( datatype, bm, bn, 1, &bm, &bn, &T );        FLASH_Obj_create_ext( datatype, bm, n,  1, &bm, &bn, &W );      }      else      {        FLASH_Obj_create( datatype, n, n, 1, &nb_alg, &A );      }      FLASH_Obj_create( datatype, nb_alg, n, 1, &nb_alg, &B );      FLASH_Obj_create( datatype, nb_alg, n, 1, &nb_alg, &B_ref );      FLA_Obj_create( datatype, nb_alg, 1, &t );      FLASH_Random_matrix( A );      FLASH_Random_matrix( B );      fprintf( stdout, "data_applyq_%s( %d, 1:5 ) = [ %d  ", pc_str[param_combo], i, p );      fflush( stdout );      FLASH_Copy( A, A_save );      FLASH_Obj_flatten( A, A_flat );      FLA_QR_blk_external( A_flat, t );      FLASH_Obj_hierarchify( A_flat, A );      time_Apply_Q( param_combo, FLA_ALG_REFERENCE, n_repeats, m, n,                    A, B, B_ref, t, T, W, &dtime, &diff, &gflops );

FLA_Error FLA_Hess_UT_blk_var4( FLA_Obj A, FLA_Obj T ){  FLA_Obj  ATL,   ATR,      A00, A01, A02,            ABL,   ABR,      A10, A11, A12,                            A20, A21, A22;  FLA_Obj  UT,              U0,           UB,              U1,                            U2;  FLA_Obj  YT,              Y0,           YB,              Y1,                            Y2;  FLA_Obj  ZT,              Z0,           ZB,              Z1,                            Z2;  FLA_Obj  TL,    TR,       T0, T1, T2;   FLA_Obj  U, Y, Z;  FLA_Obj  ABR_l;  FLA_Obj  UB_l, U2_l;  FLA_Obj  YB_l, Y2_l;  FLA_Obj  ZB_l, Z2_l;  FLA_Obj  WT_l;  FLA_Obj  T1_tl;  FLA_Obj  none, none2, none3;  FLA_Obj  UB_tl,           UB_bl;  FLA_Datatype datatype_A;  dim_t        m_A;  dim_t        b_alg, b, bb;  b_alg      = FLA_Obj_length( T );  datatype_A = FLA_Obj_datatype( A );  m_A        = FLA_Obj_length( A );  FLA_Obj_create( datatype_A, m_A,    b_alg, 0, 0, &U );  FLA_Obj_create( datatype_A, m_A,    b_alg, 0, 0, &Y );  FLA_Obj_create( datatype_A, m_A,    b_alg, 0, 0, &Z );  FLA_Part_2x2( A,    &ATL, &ATR,                      &ABL, &ABR,     0, 0, FLA_TL );  FLA_Part_2x1( U,    &UT,                       &UB,            0, FLA_TOP );  FLA_Part_2x1( Y,    &YT,                       &YB,            0, FLA_TOP );  FLA_Part_2x1( Z,    &ZT,                       &ZB,            0, FLA_TOP );  FLA_Part_1x2( T,    &TL,  &TR,      0, FLA_LEFT );   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) )  {    b = min( FLA_Obj_length( ABR ), b_alg );    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,                        /* ************* */   /* ******************** */                                                &A10, /**/ &A11, &A12,                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,                           b, b, FLA_BR );    FLA_Repart_2x1_to_3x1( UT,                &U0,                         /* ** */            /* ** */                                              &U1,                            UB,                &U2,        b, FLA_BOTTOM );    FLA_Repart_2x1_to_3x1( YT,                &Y0,                         /* ** */            /* ** */                                              &Y1,                            YB,                &Y2,        b, FLA_BOTTOM );    FLA_Repart_2x1_to_3x1( ZT,                &Z0,                         /* ** */            /* ** */                                              &Z1,                            ZB,                &Z2,        b, FLA_BOTTOM );    FLA_Repart_1x2_to_1x3( TL,  /**/ TR,        &T0, /**/ &T1, &T2,                           b, FLA_RIGHT );    /*------------------------------------------------------------*/    FLA_Part_2x2( T1,     &T1_tl, &none,                             &none2, &none3,   b, b, FLA_TL );     bb = min( FLA_Obj_length( ABR ) - 1, b_alg );    FLA_Part_1x2( ABR,    &ABR_l, &none,    bb, FLA_LEFT );     FLA_Part_1x2( UB,     &UB_l,  &none,    bb, FLA_LEFT );     FLA_Part_1x2( YB,     &YB_l,  &none,    bb, FLA_LEFT );     FLA_Part_1x2( ZB,     &ZB_l,  &none,    bb, FLA_LEFT );     FLA_Part_2x1( UB_l,   &none,                          &U2_l,             b, FLA_TOP );    FLA_Part_2x1( YB_l,   &none,                          &Y2_l,             b, FLA_TOP );    FLA_Part_2x1( ZB_l,   &none,                          &Z2_l,             b, FLA_TOP );    // [ ABR, YB, ZB, T1 ] = FLA_Hess_UT_step_unb_var4( ABR, YB, ZB, T1, b );    //FLA_Hess_UT_step_unb_var4( ABR, YB, ZB, T1_tl );    //FLA_Hess_UT_step_ofu_var4( ABR, YB, ZB, T1_tl );    FLA_Hess_UT_step_opt_var4( ABR, YB, ZB, T1_tl );    // Build UB from ABR, with explicit unit subdiagonal and zeros.    FLA_Copy_external( ABR_l, UB_l );    FLA_Part_2x1( UB_l,   &UB_tl, //.........这里部分代码省略.........

void time_QR_UT(                 int variant, int type, int nrepeats, int m, int n,                 FLA_Obj A, FLA_Obj A_ref, FLA_Obj t, FLA_Obj T, FLA_Obj W, FLA_Obj b, FLA_Obj b_orig,                 double *dtime, double *diff, double *gflops ){  int    irep;  double    dtime_old = 1.0e9;  FLA_Obj    A_save, b_save, norm;  FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &A_save );  FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, b, &b_save );  if ( FLA_Obj_is_single_precision( A ) )    FLA_Obj_create( FLA_FLOAT, 1, 1, 0, 0, &norm );  else    FLA_Obj_create( FLA_DOUBLE, 1, 1, 0, 0, &norm );  FLA_Copy_external( A, A_save );  FLA_Copy_external( b, b_save );  for ( irep = 0 ; irep < nrepeats; irep++ ){    FLA_Copy_external( A_save, A );    *dtime = FLA_Clock();    switch( variant ){    case 0:{      switch( type ){      case FLA_ALG_REFERENCE:        REF_QR_UT( A, t );        break;      case FLA_ALG_FRONT:        FLA_QR_UT( A, T );        break;      default:        printf("trouble/n");      }      break;    }    }    *dtime = FLA_Clock() - *dtime;    dtime_old = min( *dtime, dtime_old );  }  if ( type == FLA_ALG_REFERENCE )  {    FLA_Obj AT, AB;    FLA_Obj bT, bB;    FLA_Obj y;    FLA_Obj_create( FLA_Obj_datatype( b ), n, 1, 0, 0, &y );    FLA_Copy_external( b, b_orig );    if ( FLA_Obj_is_real( A ) )      FLA_Apply_Q_blk_external( FLA_LEFT, FLA_TRANSPOSE, FLA_COLUMNWISE, A, t, b );    else      FLA_Apply_Q_blk_external( FLA_LEFT, FLA_CONJ_TRANSPOSE, FLA_COLUMNWISE, A, t, b );    FLA_Part_2x1( A,    &AT,                        &AB,    FLA_Obj_width( A ), FLA_TOP );    FLA_Part_2x1( b,    &bT,                        &bB,    FLA_Obj_width( A ), FLA_TOP );    FLA_Trsm_external( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE,                       FLA_NONUNIT_DIAG, FLA_ONE, AT, bT );    FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A_save, bT, FLA_ONE, b_orig );    FLA_Gemv_external( FLA_CONJ_TRANSPOSE, FLA_ONE, A_save, b_orig, FLA_ZERO, y );    FLA_Nrm2_external( y, norm );    FLA_Obj_extract_real_scalar( norm, diff );    FLA_Obj_free( &y );  }  else  {    FLA_Obj x, y;    FLA_Obj_create( FLA_Obj_datatype( b ), n, 1, 0, 0, &y );    FLA_Obj_create( FLA_Obj_datatype( b ), n, 1, 0, 0, &x );    FLA_Copy_external( b, b_orig );    FLA_QR_UT_solve( A, T, b, x );    FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A_save, x, FLA_ONE, b_orig );    FLA_Gemv_external( FLA_CONJ_TRANSPOSE, FLA_ONE, A_save, b_orig, FLA_ZERO, y );    FLA_Nrm2_external( y, norm );    FLA_Obj_extract_real_scalar( norm, diff );//.........这里部分代码省略.........

int main(int argc, char *argv[]){  int     m_input, n_input,    m, n,    p_first, p_last, p_inc,    p,    nb_alg,    n_repeats,    variant,    i, j,    datatype,    n_variants = N_VARIANTS;    char *colors = "brkgmcbrkg";  char *ticks  = "o+*xso+*xs";  char m_dim_desc[14];  char n_dim_desc[14];  char m_dim_tag[10];  char n_dim_tag[10];  double max_gflops=6.0;  double    dtime,    gflops,    diff;  FLA_Obj    A, B, C, C_ref;    /* Initialize FLAME */  FLA_Init( );  fprintf( stdout, "%c number of repeats: ", '%' );  scanf( "%d", &n_repeats );  fprintf( stdout, "%c %d/n", '%', n_repeats );  fprintf( stdout, "%c Enter blocking size: ", '%' );  scanf( "%d", &nb_alg );  fprintf( stdout, "%c %d/n", '%', nb_alg );  fprintf( stdout, "%c enter problem size first, last, inc: ", '%' );  scanf( "%d%d%d", &p_first, &p_last, &p_inc );  fprintf( stdout, "%c %d %d %d/n", '%', p_first, p_last, p_inc );  fprintf( stdout, "%c enter m n (-1 means bind to problem size): ", '%' );  scanf( "%d%d", &m_input, &n_input );  fprintf( stdout, "%c %d %d/n", '%', m_input, n_input );  /* Delete all existing data structures */  fprintf( stdout, "/nclear all;/n/n" );  if     ( m_input >  0 ) {    sprintf( m_dim_desc, "m = %d", m_input );    sprintf( m_dim_tag,  "m%dc", m_input);  }  else if( m_input <  -1 ) {    sprintf( m_dim_desc, "m = p/%d", -m_input );    sprintf( m_dim_tag,  "m%dp", -m_input );  }  else if( m_input == -1 ) {    sprintf( m_dim_desc, "m = p" );    sprintf( m_dim_tag,  "m%dp", 1 );  }  if     ( n_input >  0 ) {    sprintf( n_dim_desc, "n = %d", n_input );    sprintf( n_dim_tag,  "n%dc", n_input);  }  else if( n_input <  -1 ) {    sprintf( n_dim_desc, "n = p/%d", -n_input );    sprintf( n_dim_tag,  "n%dp", -n_input );  }  else if( n_input == -1 ) {    sprintf( n_dim_desc, "n = p" );    sprintf( n_dim_tag,  "n%dp", 1 );  }  for ( p = p_first, i = 1; p <= p_last; p += p_inc, i += 1 )  {    m = m_input;    n = n_input;    if( m < 0 ) m = p / abs(m_input);    if( n < 0 ) n = p / abs(n_input);    //datatype = FLA_COMPLEX;    datatype = FLA_DOUBLE_COMPLEX;    /* Allocate space for the matrices */    FLA_Obj_create( datatype, m, m, &A );    FLA_Obj_create( datatype, m, n, &C );    FLA_Obj_create( datatype, m, n, &C_ref );//.........这里部分代码省略.........

FLA_Error FLA_Bidiag_blk_external( FLA_Obj A, FLA_Obj tu, FLA_Obj tv ){  int          info = 0;#ifdef FLA_ENABLE_EXTERNAL_LAPACK_INTERFACES  FLA_Datatype datatype;  int          m_A, n_A, cs_A;  int          min_m_n, max_m_n;  int          lwork;  FLA_Obj      d, e, work_obj;  if ( FLA_Check_error_level() == FLA_FULL_ERROR_CHECKING )    FLA_Bidiag_check( A, tu, tv );  if ( FLA_Obj_has_zero_dim( A ) ) return FLA_SUCCESS;  datatype = FLA_Obj_datatype( A );  m_A      = FLA_Obj_length( A );  n_A      = FLA_Obj_width( A );  min_m_n  = FLA_Obj_min_dim( A );  max_m_n  = FLA_Obj_max_dim( A );  cs_A     = FLA_Obj_col_stride( A );  FLA_Obj_create( FLA_Obj_datatype_proj_to_real( A ), min_m_n,     1, 0, 0, &d );  FLA_Obj_create( FLA_Obj_datatype_proj_to_real( A ), min_m_n - 1, 1, 0, 0, &e );  lwork    = (m_A + n_A) * FLA_Query_blocksize( datatype, FLA_DIMENSION_MIN );  FLA_Obj_create( datatype, lwork, 1, 0, 0, &work_obj );  switch( datatype ){  case FLA_FLOAT:  {    float* buff_A    = ( float * ) FLA_FLOAT_PTR( A );    float* buff_d    = ( float * ) FLA_FLOAT_PTR( d );    float* buff_e    = ( float * ) FLA_FLOAT_PTR( e );    float* buff_tu   = ( float * ) FLA_FLOAT_PTR( tu );    float* buff_tv   = ( float * ) FLA_FLOAT_PTR( tv );    float* buff_work = ( float * ) FLA_FLOAT_PTR( work_obj );    F77_sgebrd( &m_A,                &n_A,                buff_A, &cs_A,                buff_d,                buff_e,                buff_tu,                buff_tv,                buff_work,                &lwork,                &info );    break;  }  case FLA_DOUBLE:  {    double* buff_A    = ( double * ) FLA_DOUBLE_PTR( A );    double* buff_d    = ( double * ) FLA_DOUBLE_PTR( d );    double* buff_e    = ( double * ) FLA_DOUBLE_PTR( e );    double* buff_tu   = ( double * ) FLA_DOUBLE_PTR( tu );    double* buff_tv   = ( double * ) FLA_DOUBLE_PTR( tv );    double* buff_work = ( double * ) FLA_DOUBLE_PTR( work_obj );    F77_dgebrd( &m_A,                &n_A,                buff_A, &cs_A,                buff_d,                buff_e,                buff_tu,                buff_tv,                buff_work,                &lwork,                &info );    break;  }   case FLA_COMPLEX:  {    scomplex* buff_A    = ( scomplex * ) FLA_COMPLEX_PTR( A );    float*    buff_d    = ( float    * ) FLA_FLOAT_PTR( d );    float*    buff_e    = ( float    * ) FLA_FLOAT_PTR( e );    scomplex* buff_tu   = ( scomplex * ) FLA_COMPLEX_PTR( tu );    scomplex* buff_tv   = ( scomplex * ) FLA_COMPLEX_PTR( tv );    scomplex* buff_work = ( scomplex * ) FLA_COMPLEX_PTR( work_obj );    F77_cgebrd( &m_A,                &n_A,                buff_A, &cs_A,                buff_d,                buff_e,                buff_tu,                buff_tv,                buff_work,                &lwork,                &info );    break;  } //.........这里部分代码省略.........