c_zblas3.c

基本的C语言线性代数函数库,在linux下可直接编译；在windows下要显示地申明包含

              A[i*LDA+j].imag=a[j*(*lda)+i].imag;
           }
     }
     else{
        LDA = *n+1;
        A=(CBLAS_TEST_ZOMPLEX* )malloc((*k)*LDA*sizeof(CBLAS_TEST_ZOMPLEX ) );
        for( i=0; i<*k; i++ )
           for( j=0; j<*n; j++ ) {
              A[i*LDA+j].real=a[j*(*lda)+i].real;
              A[i*LDA+j].imag=a[j*(*lda)+i].imag;
           }
     }
     LDC = *n+1;
     C=(CBLAS_TEST_ZOMPLEX* )malloc((*n)*LDC*sizeof(CBLAS_TEST_ZOMPLEX ) );
     for( i=0; i<*n; i++ )
        for( j=0; j<*n; j++ ) {
           C[i*LDC+j].real=c[j*(*ldc)+i].real;
           C[i*LDC+j].imag=c[j*(*ldc)+i].imag;
        }
     cblas_zsyrk(CblasRowMajor, uplo, trans, *n, *k, alpha, A, LDA, beta, 
	         C, LDC );
     for( j=0; j<*n; j++ )
        for( i=0; i<*n; i++ ) {
           c[j*(*ldc)+i].real=C[i*LDC+j].real;
           c[j*(*ldc)+i].imag=C[i*LDC+j].imag;
        }
     free(A);
     free(C);
  }
  else if (*order == TEST_COL_MJR)
     cblas_zsyrk(CblasColMajor, uplo, trans, *n, *k, alpha, a, *lda, beta, 
	         c, *ldc );
  else
     cblas_zsyrk(UNDEFINED, uplo, trans, *n, *k, alpha, a, *lda, beta, 
	         c, *ldc );
}
void F77_zher2k(int *order, char *uplow, char *transp, int *n, int *k,
        CBLAS_TEST_ZOMPLEX *alpha, CBLAS_TEST_ZOMPLEX *a, int *lda,
	CBLAS_TEST_ZOMPLEX *b, int *ldb, double *beta,
        CBLAS_TEST_ZOMPLEX *c, int *ldc ) {
  int i,j,LDA,LDB,LDC;
  CBLAS_TEST_ZOMPLEX *A, *B, *C;
  enum CBLAS_UPLO uplo;
  enum CBLAS_TRANSPOSE trans;

  get_uplo_type(uplow,&uplo);
  get_transpose_type(transp,&trans);

  if (*order == TEST_ROW_MJR) {
     if (trans == CblasNoTrans) {
        LDA = *k+1;
        LDB = *k+1;
        A=(CBLAS_TEST_ZOMPLEX* )malloc((*n)*LDA*sizeof(CBLAS_TEST_ZOMPLEX ));
        B=(CBLAS_TEST_ZOMPLEX* )malloc((*n)*LDB*sizeof(CBLAS_TEST_ZOMPLEX ));
        for( i=0; i<*n; i++ )
           for( j=0; j<*k; j++ ) {
              A[i*LDA+j].real=a[j*(*lda)+i].real;
              A[i*LDA+j].imag=a[j*(*lda)+i].imag;
              B[i*LDB+j].real=b[j*(*ldb)+i].real;
              B[i*LDB+j].imag=b[j*(*ldb)+i].imag;
           }
     }
     else {
        LDA = *n+1;
        LDB = *n+1;
        A=(CBLAS_TEST_ZOMPLEX* )malloc( LDA*(*k)*sizeof(CBLAS_TEST_ZOMPLEX ) );
        B=(CBLAS_TEST_ZOMPLEX* )malloc( LDB*(*k)*sizeof(CBLAS_TEST_ZOMPLEX ) );
        for( i=0; i<*k; i++ )
           for( j=0; j<*n; j++ ){
	      A[i*LDA+j].real=a[j*(*lda)+i].real;
              A[i*LDA+j].imag=a[j*(*lda)+i].imag;
              B[i*LDB+j].real=b[j*(*ldb)+i].real;
              B[i*LDB+j].imag=b[j*(*ldb)+i].imag;
           }
     }
     LDC = *n+1;
     C=(CBLAS_TEST_ZOMPLEX* )malloc( (*n)*LDC*sizeof(CBLAS_TEST_ZOMPLEX ) );
     for( i=0; i<*n; i++ )
        for( j=0; j<*n; j++ ) {
           C[i*LDC+j].real=c[j*(*ldc)+i].real;
           C[i*LDC+j].imag=c[j*(*ldc)+i].imag;
        }
     cblas_zher2k(CblasRowMajor, uplo, trans, *n, *k, alpha, A, LDA, 
		  B, LDB, *beta, C, LDC );
     for( j=0; j<*n; j++ )
        for( i=0; i<*n; i++ ) {
           c[j*(*ldc)+i].real=C[i*LDC+j].real;
           c[j*(*ldc)+i].imag=C[i*LDC+j].imag;
        }
     free(A);
     free(B);
     free(C);
  }
  else if (*order == TEST_COL_MJR)
     cblas_zher2k(CblasColMajor, uplo, trans, *n, *k, alpha, a, *lda, 
		   b, *ldb, *beta, c, *ldc );
  else
     cblas_zher2k(UNDEFINED, uplo, trans, *n, *k, alpha, a, *lda, 
		   b, *ldb, *beta, c, *ldc );
}
void F77_zsyr2k(int *order, char *uplow, char *transp, int *n, int *k,
         CBLAS_TEST_ZOMPLEX *alpha, CBLAS_TEST_ZOMPLEX *a, int *lda,
	 CBLAS_TEST_ZOMPLEX *b, int *ldb, CBLAS_TEST_ZOMPLEX *beta,
         CBLAS_TEST_ZOMPLEX *c, int *ldc ) {
  int i,j,LDA,LDB,LDC;
  CBLAS_TEST_ZOMPLEX *A, *B, *C;
  enum CBLAS_UPLO uplo;
  enum CBLAS_TRANSPOSE trans;

  get_uplo_type(uplow,&uplo);
  get_transpose_type(transp,&trans);

  if (*order == TEST_ROW_MJR) {
     if (trans == CblasNoTrans) {
        LDA = *k+1;
        LDB = *k+1;
        A=(CBLAS_TEST_ZOMPLEX* )malloc((*n)*LDA*sizeof(CBLAS_TEST_ZOMPLEX));
        B=(CBLAS_TEST_ZOMPLEX* )malloc((*n)*LDB*sizeof(CBLAS_TEST_ZOMPLEX));
        for( i=0; i<*n; i++ )
           for( j=0; j<*k; j++ ) {
              A[i*LDA+j].real=a[j*(*lda)+i].real;
              A[i*LDA+j].imag=a[j*(*lda)+i].imag;
              B[i*LDB+j].real=b[j*(*ldb)+i].real;
              B[i*LDB+j].imag=b[j*(*ldb)+i].imag;
           }
     }
     else {
        LDA = *n+1;
        LDB = *n+1;
        A=(CBLAS_TEST_ZOMPLEX* )malloc(LDA*(*k)*sizeof(CBLAS_TEST_ZOMPLEX));
        B=(CBLAS_TEST_ZOMPLEX* )malloc(LDB*(*k)*sizeof(CBLAS_TEST_ZOMPLEX));
        for( i=0; i<*k; i++ )
           for( j=0; j<*n; j++ ){
	      A[i*LDA+j].real=a[j*(*lda)+i].real;
              A[i*LDA+j].imag=a[j*(*lda)+i].imag;
              B[i*LDB+j].real=b[j*(*ldb)+i].real;
              B[i*LDB+j].imag=b[j*(*ldb)+i].imag;
           }
     }
     LDC = *n+1;
     C=(CBLAS_TEST_ZOMPLEX* )malloc( (*n)*LDC*sizeof(CBLAS_TEST_ZOMPLEX));
     for( i=0; i<*n; i++ )
        for( j=0; j<*n; j++ ) {
           C[i*LDC+j].real=c[j*(*ldc)+i].real;
           C[i*LDC+j].imag=c[j*(*ldc)+i].imag;
        }
     cblas_zsyr2k(CblasRowMajor, uplo, trans, *n, *k, alpha, A, LDA, 
		  B, LDB, beta, C, LDC );
     for( j=0; j<*n; j++ )
        for( i=0; i<*n; i++ ) {
           c[j*(*ldc)+i].real=C[i*LDC+j].real;
           c[j*(*ldc)+i].imag=C[i*LDC+j].imag;
        }
     free(A);
     free(B);
     free(C);
  }
  else if (*order == TEST_COL_MJR)
     cblas_zsyr2k(CblasColMajor, uplo, trans, *n, *k, alpha, a, *lda, 
		   b, *ldb, beta, c, *ldc );
  else
     cblas_zsyr2k(UNDEFINED, uplo, trans, *n, *k, alpha, a, *lda, 
		   b, *ldb, beta, c, *ldc );
}
void F77_ztrmm(int *order, char *rtlf, char *uplow, char *transp, char *diagn,
       int *m, int *n, CBLAS_TEST_ZOMPLEX *alpha, CBLAS_TEST_ZOMPLEX *a, 
       int *lda, CBLAS_TEST_ZOMPLEX *b, int *ldb) {
  int i,j,LDA,LDB;
  CBLAS_TEST_ZOMPLEX *A, *B;
  enum CBLAS_SIDE side;
  enum CBLAS_DIAG diag;
  enum CBLAS_UPLO uplo;
  enum CBLAS_TRANSPOSE trans;

  get_uplo_type(uplow,&uplo);
  get_transpose_type(transp,&trans);
  get_diag_type(diagn,&diag);
  get_side_type(rtlf,&side);

  if (*order == TEST_ROW_MJR) {
     if (side == CblasLeft) {
        LDA = *m+1;
        A=(CBLAS_TEST_ZOMPLEX* )malloc((*m)*LDA*sizeof(CBLAS_TEST_ZOMPLEX));
        for( i=0; i<*m; i++ )
           for( j=0; j<*m; j++ ) {
              A[i*LDA+j].real=a[j*(*lda)+i].real;
              A[i*LDA+j].imag=a[j*(*lda)+i].imag;
           }
     }
     else{
        LDA = *n+1;
        A=(CBLAS_TEST_ZOMPLEX* )malloc((*n)*LDA*sizeof(CBLAS_TEST_ZOMPLEX));
        for( i=0; i<*n; i++ )
           for( j=0; j<*n; j++ ) {
              A[i*LDA+j].real=a[j*(*lda)+i].real;
              A[i*LDA+j].imag=a[j*(*lda)+i].imag;
           }
     }
     LDB = *n+1;
     B=(CBLAS_TEST_ZOMPLEX* )malloc((*m)*LDB*sizeof(CBLAS_TEST_ZOMPLEX));
     for( i=0; i<*m; i++ )
        for( j=0; j<*n; j++ ) {
           B[i*LDB+j].real=b[j*(*ldb)+i].real;
           B[i*LDB+j].imag=b[j*(*ldb)+i].imag;
        }
     cblas_ztrmm(CblasRowMajor, side, uplo, trans, diag, *m, *n, alpha, 
		 A, LDA, B, LDB );
     for( j=0; j<*n; j++ )
        for( i=0; i<*m; i++ ) {
           b[j*(*ldb)+i].real=B[i*LDB+j].real;
           b[j*(*ldb)+i].imag=B[i*LDB+j].imag;
        }
     free(A);
     free(B);
  }
  else if (*order == TEST_COL_MJR)
     cblas_ztrmm(CblasColMajor, side, uplo, trans, diag, *m, *n, alpha, 
		   a, *lda, b, *ldb);
  else
     cblas_ztrmm(UNDEFINED, side, uplo, trans, diag, *m, *n, alpha, 
		   a, *lda, b, *ldb);
}

void F77_ztrsm(int *order, char *rtlf, char *uplow, char *transp, char *diagn,
         int *m, int *n, CBLAS_TEST_ZOMPLEX *alpha, CBLAS_TEST_ZOMPLEX *a, 
         int *lda, CBLAS_TEST_ZOMPLEX *b, int *ldb) {
  int i,j,LDA,LDB;
  CBLAS_TEST_ZOMPLEX *A, *B;
  enum CBLAS_SIDE side;
  enum CBLAS_DIAG diag;
  enum CBLAS_UPLO uplo;
  enum CBLAS_TRANSPOSE trans;

  get_uplo_type(uplow,&uplo);
  get_transpose_type(transp,&trans);
  get_diag_type(diagn,&diag);
  get_side_type(rtlf,&side);

  if (*order == TEST_ROW_MJR) {
     if (side == CblasLeft) {
        LDA = *m+1;
        A=(CBLAS_TEST_ZOMPLEX* )malloc( (*m)*LDA*sizeof(CBLAS_TEST_ZOMPLEX ) );
        for( i=0; i<*m; i++ )
           for( j=0; j<*m; j++ ) {
              A[i*LDA+j].real=a[j*(*lda)+i].real;
              A[i*LDA+j].imag=a[j*(*lda)+i].imag;
           }
     }
     else{
        LDA = *n+1;
        A=(CBLAS_TEST_ZOMPLEX* )malloc((*n)*LDA*sizeof(CBLAS_TEST_ZOMPLEX));
        for( i=0; i<*n; i++ )
           for( j=0; j<*n; j++ ) {
              A[i*LDA+j].real=a[j*(*lda)+i].real;
              A[i*LDA+j].imag=a[j*(*lda)+i].imag;
           }
     }
     LDB = *n+1;
     B=(CBLAS_TEST_ZOMPLEX* )malloc((*m)*LDB*sizeof(CBLAS_TEST_ZOMPLEX));
     for( i=0; i<*m; i++ )
        for( j=0; j<*n; j++ ) {
           B[i*LDB+j].real=b[j*(*ldb)+i].real;
           B[i*LDB+j].imag=b[j*(*ldb)+i].imag;
        }
     cblas_ztrsm(CblasRowMajor, side, uplo, trans, diag, *m, *n, alpha, 
		 A, LDA, B, LDB );
     for( j=0; j<*n; j++ )
        for( i=0; i<*m; i++ ) {
           b[j*(*ldb)+i].real=B[i*LDB+j].real;
           b[j*(*ldb)+i].imag=B[i*LDB+j].imag;
        }
     free(A);
     free(B);
  }
  else if (*order == TEST_COL_MJR)
     cblas_ztrsm(CblasColMajor, side, uplo, trans, diag, *m, *n, alpha, 
		   a, *lda, b, *ldb);
  else
     cblas_ztrsm(UNDEFINED, side, uplo, trans, diag, *m, *n, alpha, 
		   a, *lda, b, *ldb);
}