miniFE/mkl/basic/driver.hpp at minife-tm · NikBomb/miniFE

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#ifndef _driver_hpp_

#define _driver_hpp_

//@HEADER

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

// miniFE: simple finite-element assembly and linear-solve

// Copyright (2006) Sandia Corporation

// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive

// license for use of this work by or on behalf of the U.S. Government.

// This library is free software; you can redistribute it and/or modify

// it under the terms of the GNU Lesser General Public License as

// published by the Free Software Foundation; either version 2.1 of the

// License, or (at your option) any later version.

// This library 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

// Lesser General Public License for more details.

// You should have received a copy of the GNU Lesser General Public

// License along with this library; if not, write to the Free Software

// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307

// USA

// Questions? Contact Michael A. Heroux (maherou@sandia.gov)

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

//@HEADER

#include <cstddef>

#include <cmath>

#include <cstdlib>

#include <iostream>

#include <sstream>

#include <iomanip>

#include <box_utils.hpp>

#include <Vector.hpp>

#ifdef MINIFE_CSR_MATRIX

#include <CSRMatrix.hpp>

#elif defined(MINIFE_ELL_MATRIX)

#include <ELLMatrix.hpp>

#else

#include <CSRMatrix.hpp>

#endif

#include <simple_mesh_description.hpp>

#include <SparseMatrix_functions.hpp>

#include <generate_matrix_structure.hpp>

#include <assemble_FE_data.hpp>

#include <verify_solution.hpp>

#include <compute_matrix_stats.hpp>

#include <make_local_matrix.hpp>

#include <imbalance.hpp>

#include <cg_solve.hpp>

#if MINIFE_KERNELS != 0

#include <time_kernels.hpp>

#endif

#include <outstream.hpp>

#include <utils.hpp>

#include <mytimer.hpp>

#include <YAML_Doc.hpp>

#ifdef HAVE_MPI

#include <mpi.h>

#endif

#define RUN_TIMED_FUNCTION(msg, fn, time_inc, time_total) \

{ \

if (myproc==0) { \

std::cout.width(30); \

std::cout << msg; \

std::cout.flush(); \

} \

timer_type rtf_t0 = mytimer(); \

fn; \

time_inc = mytimer() - rtf_t0; \

time_total += time_inc; \

if (myproc==0) { \

std::cout << time_inc << "s, total time: " << time_total << std::endl; \

} \

}

//This program assembles finite-element matrices into a global matrix and

//vector, then solves the linear-system using Conjugate Gradients.

//Each finite-element is a hexahedron with 8 vertex-nodes.

//Notes:

//- In finite-element terms, the box dimensions are in elements, not nodes.

// In other words, a 2x2x2 box describes 8 elements, each of which has 8 nodes,

// so it is a 3x3x3 node domain (27 nodes).

// The assembled linear system will have 1 equation for each finite element node.

//- The coordinate origin is at the corner of the global box where x=0,

// y=0, z=0, and the box extends along the positive x-axis, positive y-axis,

// and the positive z-axis.

//- Some aspects of matrix-structure generation and finite-element assembly

// are convenient to do using global node identifiers.

// A global identifier for each node is obtained from coordinates plus

// global box dimensions. See the function 'get_id' in box_utils.hpp.

//- Each node corresponds to a row in the matrix. The RCB partitioning method

// we use to split the global box among processors results in some

// processors owning non-contiguous blocks of global node identifiers.

// Since it is convenient for matrices and vectors to store contiguously-

// numbered blocks of rows, we map global node identifiers to a separate

// space of row numbers such that each processor's nodes correspond to a

// contiguous block of row numbers.

namespace miniFE {

template<typename Scalar,

typename LocalOrdinal,

typename GlobalOrdinal,

typename ComputeNodeType>

void

driver(const Box& global_box, Box& my_box, ComputeNodeType& compute_node,

Parameters& params, YAML_Doc& ydoc)

{

int global_nx = global_box[0][1];

int global_ny = global_box[1][1];

int global_nz = global_box[2][1];

int numprocs = 1, myproc = 0;

#ifdef HAVE_MPI

MPI_Comm_size(MPI_COMM_WORLD, &numprocs);

MPI_Comm_rank(MPI_COMM_WORLD, &myproc);

#endif

if (params.load_imbalance > 0) {

add_imbalance<GlobalOrdinal>(global_box, my_box, params.load_imbalance, ydoc);

}

float largest_imbalance = 0, std_dev = 0;

compute_imbalance<GlobalOrdinal>(global_box, my_box, largest_imbalance,

std_dev, ydoc, true);

//Create a representation of the mesh:

//Note that 'simple_mesh_description' is a virtual or conceptual

//mesh that doesn't actually store mesh data.

if (myproc==0) {

std::cout.width(30);

std::cout << "creating/filling mesh...";

std::cout.flush();

}

timer_type t_start = mytimer();

timer_type t0 = mytimer();

simple_mesh_description<GlobalOrdinal> mesh(global_box, my_box);

timer_type mesh_fill = myti 8000 mer() - t0;

timer_type t_total = mytimer() - t_start;

if (myproc==0) {

std::cout << mesh_fill << "s, total time: " << t_total << std::endl;

}

//next we will generate the matrix structure.

//Declare matrix object:

#ifdef MINIFE_CSR_MATRIX

typedef CSRMatrix<Scalar,LocalOrdinal,GlobalOrdinal,ComputeNodeType> MatrixType;

#elif defined(MINIFE_ELL_MATRIX)

typedef ELLMatrix<Scalar,LocalOrdinal,GlobalOrdinal,ComputeNodeType> MatrixType;

#else

typedef CSRMatrix<Scalar,LocalOrdinal,GlobalOrdinal,ComputeNodeType> MatrixType;

#endif

MatrixType A(compute_node);

timer_type gen_structure;

RUN_TIMED_FUNCTION("generating matrix structure...",

generate_matrix_structure(mesh, A),

gen_structure, t_total);

GlobalOrdinal local_nrows = A.rows.size();

GlobalOrdinal my_first_row = local_nrows > 0 ? A.rows[0] : -1;

Vector<Scalar,LocalOrdinal,GlobalOrdinal,ComputeNodeType> b(my_first_row, local_nrows,compute_node);

Vector<Scalar,LocalOrdinal,GlobalOrdinal,ComputeNodeType> x(my_first_row, local_nrows,compute_node);

//Assemble finite-element sub-matrices and sub-vectors into the global

//linear system:

timer_type fe_assembly;

RUN_TIMED_FUNCTION("assembling FE data...",

assemble_FE_data(mesh, A, b, params),

fe_assembly, t_total);

if (myproc == 0) {

ydoc.add("Matrix structure generation","");

ydoc.get("Matrix structure generation")->add("Mat-struc-gen Time",gen_structure);

ydoc.add("FE assembly","");

ydoc.get("FE assembly")->add("FE assembly Time",fe_assembly);

}

#ifdef MINIFE_DEBUG

write_matrix("A_prebc.mtx", A);

write_vector("b_prebc.vec", b);

#endif

//Now apply dirichlet boundary-conditions

//(Apply the 0-valued surfaces first, then the 1-valued surface last.)

timer_type dirbc_time;

RUN_TIMED_FUNCTION("imposing Dirichlet BC...",

impose_dirichlet(0.0, A, b, global_nx+1, global_ny+1, global_nz+1, mesh.bc_rows_0), dirbc_time, t_total);

RUN_TIMED_FUNCTION("imposing Dirichlet BC...",

impose_dirichlet(1.0, A, b, global_nx+1, global_ny+1, global_nz+1, mesh.bc_rows_1), dirbc_time, t_total);

#ifdef MINIFE_DEBUG

write_matrix("A.mtx", A);

write_vector("b.vec", b);

#endif

//Transform global indices to local, set up communication information:

timer_type make_local_time;

RUN_TIMED_FUNCTION("making matrix indices local...",

make_local_matrix(A),

make_local_time, t_total);

#ifdef MINIFE_DEBUG

write_matrix("A_local.mtx", A);

write_vector("b_local.vec", b);

#endif

size_t global_nnz = compute_matrix_stats(A, myproc, numprocs, ydoc);

//Prepare to perform conjugate gradient solve:

LocalOrdinal max_iters = 50;

LocalOrdinal num_iters = 0;

typedef typename TypeTraits<Scalar>::magnitude_type magnitude;

magnitude rnorm = 0;

magnitude tol = std::numeric_limits<magnitude>::epsilon();

timer_type cg_times[NUM_TIMERS];

typedef Vector<Scalar,LocalOrdinal,GlobalOrdinal,ComputeNodeType> VectorType;

t_total = mytimer() - t_start;

bool matvec_with_comm_overlap = params.mv_overlap_comm_comp==1;

#if MINIFE_KERNELS != 0

if (myproc==0) {

std::cout.width(30);

std::cout << "Starting kernel timing loops ..." << std::endl;

}

max_iters = 500;

x.coefs[0] = 0.9;

if (matvec_with_comm_overlap) {

time_kernels(A, b, x, matvec_overlap<MatrixType,VectorType>(), max_iters, rnorm, cg_times);

}

else {

time_kernels(A, b, x, matvec_std<MatrixType,VectorType>(), max_iters, rnorm, cg_times);

}

num_iters = max_iters;

std::string title("Kernel timings");

#else

if (myproc==0) {

std::cout << "Starting CG solver ... " << std::endl;

}

if (matvec_with_comm_overlap) {

#ifdef MINIFE_CSR_MATRIX

rearrange_matrix_local_external(A);

cg_solve(A, b, x, matvec_overlap<MatrixType,VectorType>(), max_iters, tol,

num_iters, rnorm, cg_times);

#else

std::cout << "ERROR, matvec with overlapping comm/comp only works with CSR matrix."<<std::endl;

#endif

}

else {

cg_solve(A, b, x, matvec_std<MatrixType,VectorType>(), max_iters, tol,

num_iters, rnorm, cg_times);

if (myproc == 0) {

std::cout << "Final Resid Norm: " << rnorm << std::endl;

}

#ifdef MINIFE_DEBUG

if (myproc == 0) {

std::cout << "verifying solution..." << std::endl;

}

verify_solution(mesh, x);

#endif

}

#ifdef MINIFE_DEBUG

write_vector("x.vec", x);

#endif

std::string title("CG solve");

#endif

if (myproc == 0) {

ydoc.get("Global Run Parameters")->add("ScalarType",TypeTraits<Scalar>::name());

ydoc.get("Global Run Parameters")->add("GlobalOrdinalType",TypeTraits<GlobalOrdinal>::name());

ydoc.get("Global Run Parameters")->add("LocalOrdinalType",TypeTraits<LocalOrdinal>::name());

ydoc.add(title,"");

ydoc.get(title)->add("Iterations",num_iters);

ydoc.get(title)->add("Final Resid Norm",rnorm);

GlobalOrdinal global_nrows = global_nx;

global_nrows *= global_ny*global_nz;

//flops-per-mv, flops-per-dot, flops-per-waxpy:

double mv_flops = global_nnz*2.0;

double dot_flops = global_nrows*2.0;

double waxpy_flops = global_nrows*3.0;

#if MINIFE_KERNELS == 0

//if MINIFE_KERNELS == 0 then we did a CG solve, and in that case

//there were num_iters+1 matvecs, num_iters*2 dots, and num_iters*3+2 waxpys.

mv_flops *= (num_iters+1);

dot_flops *= (2*num_iters);

waxpy_flops *= (3*num_iters+2);

#else

//if MINIFE_KERNELS then we did one of each operation per iteration.

mv_flops *= num_iters;

dot_flops *= num_iters;

waxpy_flops *= num_iters;

#endif

double total_flops = mv_flops + dot_flops + waxpy_flops;

double mv_mflops = -1;

if (cg_times[MATVEC] > 1.e-4)

mv_mflops = 1.e-6 * (mv_flops/cg_times[MATVEC]);

double dot_mflops = -1;

if (cg_times[DOT] > 1.e-4)

dot_mflops = 1.e-6 * (dot_flops/cg_times[DOT]);

double waxpy_mflops = -1;

if (cg_times[WAXPY] > 1.e-4)

waxpy_mflops = 1.e-6 * (waxpy_flops/cg_times[WAXPY]);

double total_mflops = -1;

if (cg_times[TOTAL] > 1.e-4)

total_mflops = 1.e-6 * (total_flops/cg_times[TOTAL]);

ydoc.get(title)->add("WAXPY Time",cg_times[WAXPY]);

ydoc.get(title)->add("WAXPY Flops",waxpy_flops);

if (waxpy_mflops >= 0)

ydoc.get(title)->add("WAXPY Mflops",waxpy_mflops);

else

ydoc.get(title)->add("WAXPY Mflops","inf");

ydoc.get(title)->add("DOT Time",cg_times[DOT]);

ydoc.get(title)->add("DOT Flops",dot_flops);

if (dot_mflops >= 0)

ydoc.get(title)->add("DOT Mflops",dot_mflops);

else

ydoc.get(title)->add("DOT Mflops","inf");

ydoc.get(title)->add("MATVEC Time",cg_times[MATVEC]);

ydoc.get(title)->add("MATVEC Flops",mv_flops);

if (mv_mflops >= 0)

ydoc.get(title)->add("MATVEC Mflops",mv_mflops);

else

ydoc.get(title)->add("MATVEC Mflops","inf");

#ifdef MINIFE_FUSED

ydoc.get(title)->add("MATVECDOT Time",cg_times[MATVECDOT]);

ydoc.get(title)->add("MATVECDOT Flops",mv_flops);

if (mv_mflops >= 0)

ydoc.get(title)->add("MATVECDOT Mflops",mv_mflops);

else

ydoc.get(title)->add("MATVECDOT Mflops","inf");

#endif

#if MINIFE_KERNELS == 0

ydoc.get(title)->add("Total","");

ydoc.get(title)->get("Total")->add("Total CG Time",cg_times[TOTAL]);

ydoc.get(title)->get("Total")->add("Total CG Flops",total_flops);

if (total_mflops >= 0)

ydoc.get(title)->get("Total")->add("Total CG Mflops",total_mflops);

else

ydoc.get(title)->get("Total")->add("Total CG Mflops","inf");

ydoc.get(title)->add("Time per iteration",cg_times[TOTAL]/num_iters);

#endif

}

}//namespace miniFE

#endif

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