/usr/include/trilinos/extern_vars.h is in libtrilinos-pliris-dev 12.12.1-5.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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// Pliris: Parallel Dense Solver Package
// Copyright 2004 Sandia Corporation
//
// Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
// the U.S. Government retains certain rights in this software.
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// met:
//
// 1. Redistributions of source code must retain the above copyright
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// 2. Redistributions in binary form must reproduce the above copyright
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// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
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// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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*/
extern int me; /* processor id information */
extern int nprocs_cube; /* num of procs in the allocated cube */
extern int nprocs_row; /* num of procs to which a row is assigned */
extern int nprocs_col; /* num of procs to which a col is assigned */
extern int max_procs; /* max num of procs in any dimension */
extern int nrows_matrix; /* number of rows in the matrix */
extern int ncols_matrix; /* number of cols in the matrix */
extern int matrix_size; /* order of matrix=nrows_matrix=ncols_matrix */
extern int my_first_row; /* proc position in a row */
extern int my_first_col; /* proc position in a col */
extern int my_rows; /* num of rows I own */
extern int my_cols; /* num of cols I own */
extern int my_cols_last;
extern int my_cols_seg; /* vars for compatibility with init */
extern int ncols_last;
extern int nrhs; /* number of right hand sides in the matrix */
extern int my_rhs; /* number of right hand sides that I own */
extern int mat_stride; /* stride to second dimension of mat */
extern int col1_stride; /* stride to second dimension of col1 */
extern int row1_stride; /* stride to second dimension of row1 */
extern DATA_TYPE *mat; /* incore storage for col being factored */
extern DATA_TYPE *rhs; /* storage for right hand sides */
extern DATA_TYPE *col1; /* ptrs to col used for updating a col */
extern DATA_TYPE *col2; /* ptr to col received in message buf */
extern DATA_TYPE *row1; /* ptr to diagonal row */
extern DATA_TYPE *row2; /* ptr to pivot row */
extern DATA_TYPE *row3;
extern DATA_TYPE *rhs_temp;
/* ptr to row used for pivots */
extern int *pivot_vec; /* stores pivot information */
extern int blksz; /* block size for BLAS 3 operations */
extern int rhs_blksz; /* agglomeration block size for backsolve */
extern int colcnt; /* number of columns stored for BLAS 3 ops */
extern int myrow,mycol;
extern MPI_Comm row_comm,col_comm;
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