dcscmtsl.c

用于求解大型稀疏线性方程组Ax=b的数值计算库.

  c-=ind_base;
  for (l=0;l!=n;l++) {                                
    pc=c+ind_base;
    for (i=m-1;i!=-1;i--) {
      jb = pntrb[i];
      je = pntre[i];
      z = pc[i];
      pc[i] = z;
      for (j=jb;j<je;j++)
        c[indx[j]] -= z * val[j];
    }
    for (i=0;i!=m;i++) {                  
        *pc *= alpha * dvl[i];            
        *pc += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}




void CSC_MatTriangSlvLD_CDABbC_double( 
                 const int m, const int n, const double *dvl,
                   const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, const double beta,
                 double *c, const int ldc, double *work, const int ind_base)
{
  int i, j, jb, je;
  double *pc=c;
  double *pwork=work;                             
  int l;                                              
  double z; 
  val-=ind_base;
  indx-=ind_base;

  for (l=0;l!=n;l++)                                  
    for (i=0;i!=m;i++){
      *pwork++ = beta * (*pc);                    
      *pc = b[i];
      pc++;
    }                                     

  pwork=work;                                        
  c-=ind_base;
  for (l=0;l!=n;l++) {                                
    pc=c+ind_base;
    for (i=0;i!=m;i++) {
      jb = pntrb[i];
      je = pntre[i];
      z =  pc[i] / val[jb];
      pc[i] = z;
      for (j=jb+1;j<je;j++) {
        c[indx[j]] -= z*val[j];
      }
    }
    for (i=0;i!=m;i++) {                  
        *pc *=  dvl[i];            
        *pc += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvLU_CDABbC_double(
                 const int m, const int n, const double *dvl,
                   const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, const double beta,
                 double *c, const int ldc, double *work, const int ind_base)
{
  int i, j, jb, je;
  double *pc=c;
  double *pwork=work;                             
  int l;                                              
  double z; 
  val-=ind_base;
  indx-=ind_base;

  for (l=0;l!=n;l++)                                  
    for (i=0;i!=m;i++){
      *pwork++ = beta * (*pc);                    
      *pc = b[i];
      pc++;
    }                                     

  pwork=work;                                        
  c-=ind_base;
  for (l=0;l!=n;l++) {                                
    pc=c+ind_base;
    for (i=0;i!=m;i++) {
       jb = pntrb[i];
       je = pntre[i];
       z = pc[i];
       for (j=jb;j<je;j++)
         c[indx[j]] -= z * val[j];
    }
    for (i=0;i!=m;i++) {                  
        *pc *=  dvl[i];            
        *pc += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvUD_CDABbC_double(
                 const int m, const int n, const double *dvl,
                   const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, const double beta,
                 double *c, const int ldc, double *work, const int ind_base)
{
  int i, j, jb, je, index;
  double *pc=c;
  double *pwork=work;                             
  int l;                                              
  double z; 
  val-=ind_base;
  indx-=ind_base;

  for (l=0;l!=n;l++)                                  
    for (i=0;i!=m;i++){
      *pwork++ = beta * (*pc);                    
      *pc = b[i];
      pc++;
    }                                     

  pwork=work;                                        
  c-=ind_base;
  for (l=0;l!=n;l++) {                                
    pc=c+ind_base;
    for (i=m-1;i!=-1;i--) {
      jb = pntrb[i];
      je = pntre[i]-1;
      z = pc[i] /val[je];
      pc[i] = z;
      for (j=jb;j<je;j++) {
          c[indx[j]] -= z * val[j];
      }
    }
    for (i=0;i!=m;i++) {                  
        *pc *=  dvl[i];            
        *pc += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvUU_CDABbC_double(
                 const int m, const int n, const double *dvl,
                   const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, const double beta,
                 double *c, const int ldc, double *work, const int ind_base)
{
  int i, j, jb, je;
  double *pc=c;
  double *pwork=work;                             
  int l;                                              
  double z; 
  val-=ind_base;
  indx-=ind_base;

  for (l=0;l!=n;l++)                                  
    for (i=0;i!=m;i++){
      *pwork++ = beta * (*pc);                    
      *pc = b[i];
      pc++;
    }                                     

  pwork=work;                                        
  c-=ind_base;
  for (l=0;l!=n;l++) {                                
    pc=c+ind_base;
    for (i=m-1;i!=-1;i--) {
      jb = pntrb[i];
      je = pntre[i];
      z = pc[i];
      pc[i] = z;
      for (j=jb;j<je;j++)
        c[indx[j]] -= z * val[j];
    }
    for (i=0;i!=m;i++) {                  
        *pc *=  dvl[i];            
        *pc += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}




void CSC_MatTriangSlvLD_CaDABbC_double( 
                 const int m, const int n, const double *dvl,
                  const double alpha, const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, const double beta,
                 double *c, const int ldc, double *work, const int ind_base)
{
  int i, j, jb, je;
  double *pc=c;
  double *pwork=work;                             
  int l;                                              
  double z; 
  val-=ind_base;
  indx-=ind_base;

  for (l=0;l!=n;l++)                                  
    for (i=0;i!=m;i++){
      *pwork++ = beta * (*pc);                    
      *pc = b[i];
      pc++;
    }                                     

  pwork=work;                                        
  c-=ind_base;
  for (l=0;l!=n;l++) {                                
    pc=c+ind_base;
    for (i=0;i!=m;i++) {
      jb = pntrb[i];
      je = pntre[i];
      z =  pc[i] / val[jb];
      pc[i] = z;
      for (j=jb+1;j<je;j++) {
        c[indx[j]] -= z*val[j];
      }
    }
    for (i=0;i!=m;i++) {                  
        *pc *= alpha * dvl[i];            
        *pc += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvLU_CaDABbC_double(
                 const int m, const int n, const double *dvl,
                  const double alpha, const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, const double beta,
                 double *c, const int ldc, double *work, const int ind_base)
{
  int i, j, jb, je;
  double *pc=c;
  double *pwork=work;                             
  int l;                                              
  double z; 
  val-=ind_base;
  indx-=ind_base;

  for (l=0;l!=n;l++)                                  
    for (i=0;i!=m;i++){
      *pwork++ = beta * (*pc);                    
      *pc = b[i];
      pc++;
    }                                     

  pwork=work;                                        
  c-=ind_base;
  for (l=0;l!=n;l++) {                                
    pc=c+ind_base;
    for (i=0;i!=m;i++) {
       jb = pntrb[i];
       je = pntre[i];
       z = pc[i];
       for (j=jb;j<je;j++)
         c[indx[j]] -= z * val[j];
    }
    for (i=0;i!=m;i++) {                  
        *pc *= alpha * dvl[i];            
        *pc += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvUD_CaDABbC_double(
                 const int m, const int n, const double *dvl,
                  const double alpha, const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, const double beta,
                 double *c, const int ldc, double *work, const int ind_base)
{
  int i, j, jb, je, index;
  double *pc=c;
  double *pwork=work;                             
  int l;                                              
  double z; 
  val-=ind_base;
  indx-=ind_base;

  for (l=0;l!=n;l++)                                  
    for (i=0;i!=m;i++){
      *pwork++ = beta * (*pc);                    
      *pc = b[i];
      pc++;
    }                                     

  pwork=work;                                        
  c-=ind_base;
  for (l=0;l!=n;l++) {                                
    pc=c+ind_base;
    for (i=m-1;i!=-1;i--) {
      jb = pntrb[i];
      je = pntre[i]-1;
      z = pc[i] /val[je];
      pc[i] = z;
      for (j=jb;j<je;j++) {
          c[indx[j]] -= z * val[j];
      }
    }
    for (i=0;i!=m;i++) {                  
        *pc *= alpha * dvl[i];            
        *pc += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvUU_CaDABbC_double(
                 const int m, const int n, const double *dvl,
                  const double alpha, const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, const double beta,
                 double *c, const int ldc, double *work, const int ind_base)
{
  int i, j, jb, je;
  double *pc=c;
  double *pwork=work;                             
  int l;                                              
  double z; 
  val-=ind_base;
  indx-=ind_base;

  for (l=0;l!=n;l++)                                  
    for (i=0;i!=m;i++){
      *pwork++ = beta * (*pc);                    
      *pc = b[i];
      pc++;
    }                                     

  pwork=work;                                        
  c-=ind_base;
  for (l=0;l!=n;l++) {                                
    pc=c+ind_base;
    for (i=m-1;i!=-1;i--) {
      jb = pntrb[i];
      je = pntre[i];
      z = pc[i];
      pc[i] = z;
      for (j=jb;j<je;j++)
        c[indx[j]] -= z * val[j];
    }
    for (i=0;i!=m;i++) {                  
        *pc *= alpha * dvl[i];            
        *pc += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}




void CSC_MatTriangSlvLD_CADB_double( 
                 const int m, const int n, 
                 const double *dvr,  const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, 
                 double *c, const int ldc,  const int ind_base)
{
  int i, j, jb, je;
  double *pc=c;
  int l;                                              
  double z; 
  val-=ind_base;
  indx-=ind_base;

  for (l=0;l!=n;l++)                                  
    for (i=0;i!=m;i++){
      *pc = dvr[i]*b[i];
      pc++;
    }                                     

  c-=ind_base;
  for (l=0;l!=n;l++) {                                
    pc=c+ind_base;
    for (i=0;i!=m;i++) {
      jb = pntrb[i];
      je = pntre[i];
      z =  pc[i] / val[jb];
      pc[i] = z;
      for (j=jb+1;j<je;j++) {
        c[indx[j]] -= z*val[j];
      }
    }
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvLU_CADB_double(
                 const in