sdmauxrdot.c

matlab中uwb波形优化算法经常会使用的工具包:SeDuMi_1_1R3.

/* ************************************************************
   MODULE sdmaux*.c  -- Several low-level subroutines for the
   mex-files in the Self-Dual-Minimization package.

% This file is part of SeDuMi 1.1 by Imre Polik and Oleksandr Romanko
% Copyright (C) 2005 McMaster University, Hamilton, CANADA  (since 1.1)
%
% Copyright (C) 2001 Jos F. Sturm (up to 1.05R5)
%   Dept. Econometrics & O.R., Tilburg University, the Netherlands.
%   Supported by the Netherlands Organization for Scientific Research (NWO).
%
% Affiliation SeDuMi 1.03 and 1.04Beta (2000):
%   Dept. Quantitative Economics, Maastricht University, the Netherlands.
%
% Affiliations up to SeDuMi 1.02 (AUG1998):
%   CRL, McMaster University, Canada.
%   Supported by the Netherlands Organization for Scientific Research (NWO).
%
% This program is free software; you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation; either version 2 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program; if not, write to the Free Software
% Foundation, Inc.,  51 Franklin Street, Fifth Floor, Boston, MA
% 02110-1301, USA

 ************************************************************ */

#include "blksdp.h"

/* ************************************************************
   TIME-CRITICAL PROCEDURE -- r=realdot(x,y,n)
   Computes r=sum(x_i * y_i) using loop-unrolling.
   ************************************************************ */
double realdot(const double *x, const double *y, const int n)
{
 int i;
 double r;

 r = 0.0;
 for(i = 0; i < n-7; ){          /* LEVEL 8 */
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
 }
/* ------------------------------------------------------------
   Now, i in {n-7, n-6, ..., n}. Do the last n-i elements.
   ------------------------------------------------------------ */
 if(i < n-3){                            /* LEVEL 4 */
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
 }
 if(i < n-1){                           /* LEVEL 2 */
   r+= x[i] * y[i]; i++;
   r+= x[i] * y[i]; i++;
 }
 if(i < n)                              /* LEVEL 1 */
   r+= x[i] * y[i];
 return r;
}

/* ************************************************************
   TIME-CRITICAL PROCEDURE -- r=realssqr(x,n)
   Computes r=sum(x_i^2) using loop-unrolling.
   ************************************************************ */
double realssqr(const double *x, const int n)
{
  int i;
  double r;

  r=0.0;
  for(r=0.0, i=0; i< n-7; ){          /* LEVEL 8 */
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
  }
/* ------------------------------------------------------------
   Now, i in {n-7, n-6, ..., n}. Do the last n-i elements.
   ------------------------------------------------------------ */
  if(i < n-3){                              /* LEVEL 4 */
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
  }
  if(i < n-1){                           /* LEVEL 2 */
    r+= SQR(x[i]); i++;
    r+= SQR(x[i]); i++;
  }
  if(i < n)                              /* LEVEL 1 */
    r+= SQR(x[i]);
  return r;
}