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/*
* -----------------------------------------------------------------
* Programmer(s): Daniel Reynolds @ SMU
* -----------------------------------------------------------------
* SUNDIALS Copyright Start
* Copyright (c) 2002-2022, Lawrence Livermore National Security
* and Southern Methodist University.
* All rights reserved.
*
* See the top-level LICENSE and NOTICE files for details.
*
* SPDX-License-Identifier: BSD-3-Clause
* SUNDIALS Copyright End
* -----------------------------------------------------------------
* This is the testing routine to check the SUNLinSol LapackBand
* module implementation.
* -----------------------------------------------------------------
*/
#include <stdio.h>
#include <stdlib.h>
#include <sundials/sundials_types.h>
#include <sunlinsol/sunlinsol_lapackband.h>
#include <sunmatrix/sunmatrix_band.h>
#include <nvector/nvector_serial.h>
#include <sundials/sundials_math.h>
#include "test_sunlinsol.h"
/* ----------------------------------------------------------------------
* SUNLinSol_LapackBand Testing Routine
* --------------------------------------------------------------------*/
int main(int argc, char *argv[])
{
int fails = 0; /* counter for test failures */
sunindextype cols, uband, lband; /* matrix columns, bandwidths */
SUNLinearSolver LS; /* solver object */
SUNMatrix A, B; /* test matrices */
N_Vector x, y, b; /* test vectors */
int print_timing, print_matrix_on_fail;
sunindextype j, k, kstart, kend;
realtype *colj, *xdata;
SUNContext sunctx;
if (SUNContext_Create(NULL, &sunctx)) {
printf("ERROR: SUNContext_Create failed\n");
return(-1);
}
/* check input and set matrix dimensions */
if (argc < 6){
printf("ERROR: FIVE (5) Inputs required: matrix cols, matrix uband, matrix lband, print matrix on fail, print timing \n");
return(-1);
}
cols = (sunindextype) atol(argv[1]);
if (cols <= 0) {
printf("ERROR: number of matrix columns must be a positive integer \n");
return(-1);
}
uband = (sunindextype) atol(argv[2]);
if ((uband <= 0) || (uband >= cols)){
printf("ERROR: matrix upper bandwidth must be a positive integer, less than number of columns \n");
return(-1);
}
lband = (sunindextype) atol(argv[3]);
if ((lband <= 0) || (lband >= cols)){
printf("ERROR: matrix lower bandwidth must be a positive integer, less than number of columns \n");
return(-1);
}
print_matrix_on_fail = atoi(argv[4]);
print_timing = atoi(argv[5]);
SetTiming(print_timing);
printf("\nLapackBand linear solver test: size %ld, bandwidths %ld %ld\n\n",
(long int) cols, (long int) uband, (long int) lband);
/* Create matrices and vectors */
A = SUNBandMatrix(cols, uband, lband, sunctx);
B = SUNBandMatrix(cols, uband, lband, sunctx);
x = N_VNew_Serial(cols, sunctx);
y = N_VNew_Serial(cols, sunctx);
b = N_VNew_Serial(cols, sunctx);
/* Fill matrix and x vector with uniform random data in [0,1] */
xdata = N_VGetArrayPointer(x);
for (j=0; j<cols; j++) {
/* A matrix column */
colj = SUNBandMatrix_Column(A, j);
kstart = (j<uband) ? -j : -uband;
kend = (j>cols-1-lband) ? cols-1-j: lband;
for (k=kstart; k<=kend; k++)
colj[k] = (realtype) rand() / (realtype) RAND_MAX;
/* x entry */
xdata[j] = (realtype) rand() / (realtype) RAND_MAX;
}
/* Scale/shift matrix to ensure diagonal dominance */
fails = SUNMatScaleAddI( ONE/(uband+lband+1), A );
if (fails) {
printf("FAIL: SUNLinSol SUNMatScaleAddI failure\n");
return(1);
}
/* copy A and x into B and y to print in case of solver failure */
SUNMatCopy(A, B);
N_VScale(ONE, x, y);
/* create right-hand side vector for linear solve */
fails = SUNMatMatvec(A, x, b);
if (fails) {
printf("FAIL: SUNLinSol SUNMatMatvec failure\n");
return(1);
}
/* Create banded linear solver */
LS = SUNLinSol_LapackBand(x, A, sunctx);
/* Run Tests */
fails += Test_SUNLinSolInitialize(LS, 0);
fails += Test_SUNLinSolSetup(LS, A, 0);
fails += Test_SUNLinSolSolve(LS, A, x, b, 100*UNIT_ROUNDOFF, SUNTRUE, 0);
fails += Test_SUNLinSolGetType(LS, SUNLINEARSOLVER_DIRECT, 0);
fails += Test_SUNLinSolGetID(LS, SUNLINEARSOLVER_LAPACKBAND, 0);
fails += Test_SUNLinSolLastFlag(LS, 0);
fails += Test_SUNLinSolSpace(LS, 0);
/* Print result */
if (fails) {
printf("FAIL: SUNLinSol module failed %i tests \n \n", fails);
printf("\nanswer =\n");
N_VPrint_Serial(y);
printf("\ncomputed =\n");
N_VPrint_Serial(x);
printf("\ndiff (answer-computed) =\n");
N_VLinearSum_Serial(SUN_RCONST(1.0), y, -SUN_RCONST(1.0), x, x);
N_VPrint_Serial(x);
if (print_matrix_on_fail) {
printf("\nA (original) =\n");
SUNBandMatrix_Print(B,stdout);
printf("\nA (factored) =\n");
SUNBandMatrix_Print(A,stdout);
}
} else {
printf("SUCCESS: SUNLinSol module passed all tests \n \n");
}
/* Free solver, matrix and vectors */
SUNLinSolFree(LS);
SUNMatDestroy(A);
SUNMatDestroy(B);
N_VDestroy(x);
N_VDestroy(y);
N_VDestroy(b);
SUNContext_Free(&sunctx);
return(fails);
}
/* ----------------------------------------------------------------------
* Implementation-specific 'check' routines
* --------------------------------------------------------------------*/
int check_vector(N_Vector X, N_Vector Y, realtype tol)
{
int failure = 0;
sunindextype i, local_length;
realtype *Xdata, *Ydata, maxerr;
Xdata = N_VGetArrayPointer(X);
Ydata = N_VGetArrayPointer(Y);
local_length = N_VGetLength_Serial(X);
/* check vector data */
for(i=0; i < local_length; i++)
failure += SUNRCompareTol(Xdata[i], Ydata[i], tol);
if (failure > ZERO) {
maxerr = ZERO;
for(i=0; i < local_length; i++)
maxerr = SUNMAX(SUNRabs(Xdata[i]-Ydata[i]), maxerr);
printf("check err failure: maxerr = %g (tol = %g)\n",
maxerr, tol);
return(1);
}
else
return(0);
}
void sync_device()
{
}
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