dcscmtsl.c

用于求解大型稀疏线性方程组Ax=b的数值计算库.

/*-------------------------------------------------------|
|  NIST SPARSE BLAS v. 0.9 (Sat Jul 6 14:27:21 EDT 1996) |
|                                                        |
|  Authors:                                              |
|     Karin A. Remington and Roldan Pozo                 |
|     National Institute of Standards and Technology     |
|                                                        |
|  Based on the interface standard proposed in:          | 
|   "A Revised Proposal for a Sparse BLAS Toolkit" by    |
|    S. Carney and K. Wu -- University of Minnesota      |
|    M. Heroux and G. Li -- Cray Research                |  
|    R. Pozo and K.A. Remington -- NIST                  |
|                                                        |
|  Contact:                                              |
|     Karin A. Remington, email: [e-mail]     |
--------------------------------------------------------*/


/* Created:  Sat Jul 6 14:30:43 EDT 1996 */

#include "dcscmtsl.h"



void CSC_MatTriangSlvLD_CAB_double( 
                 const int m, const int n, 
                   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 = 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_CAB_double(
                 const int m, const int n, 
                   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 = 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];
       for (j=jb;j<je;j++)
         c[indx[j]] -= z * val[j];
    }
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvUD_CAB_double(
                 const int m, const int n, 
                   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, index;
  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 = b[i];
      pc++;
    }                                     

  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];
      }
    }
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvUU_CAB_double(
                 const int m, const int n, 
                   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 = b[i];
      pc++;
    }                                     

  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];
    }
    c += ldc; b += ldb;                               
  }                                                   
}




void CSC_MatTriangSlvLD_CaAB_double( 
                 const int m, const int n, 
                  const double alpha, 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 = 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];
      }
    }
    for (i=0;i!=m;i++) {                  
        *pc *= alpha ;            
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvLU_CaAB_double(
                 const int m, const int n, 
                  const double alpha, 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 = 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];
       for (j=jb;j<je;j++)
         c[indx[j]] -= z * val[j];
    }
    for (i=0;i!=m;i++) {                  
        *pc *= alpha ;            
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvUD_CaAB_double(
                 const int m, const int n, 
                  const double alpha, 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, index;
  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 = b[i];
      pc++;
    }                                     

  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 ;            
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvUU_CaAB_double(
                 const int m, const int n, 
                  const double alpha, 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 = b[i];
      pc++;
    }                                     

  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 ;            
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}




void CSC_MatTriangSlvLD_CABC_double( 
                 const int m, const int n, 
                   const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, 
                 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++ =  (*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 += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

void CSC_MatTriangSlvLU_CABC_double(
                 const int m, const int n, 
                   const double *val,
                 const int *indx, const int *pntrb, const int *pntre,
                 const double *b, const int ldb, 
                 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++ =  (*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 += *pwork;                    
        pwork++;                          
        pc++;                             
    }                                     
    c += ldc; b += ldb;                               
  }                                                   
}

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