static void
test_ops(const size_t M, const size_t N,
const double density, const gsl_rng *r)
{
size_t i, j;
int status;
/* test gsl_spmatrix_add */
{
gsl_spmatrix *A = create_random_sparse(M, N, density, r);
gsl_spmatrix *B = create_random_sparse(M, N, density, r);
gsl_spmatrix *A_ccs = gsl_spmatrix_ccs(A);
gsl_spmatrix *B_ccs = gsl_spmatrix_ccs(B);
gsl_spmatrix *C_ccs = gsl_spmatrix_alloc_nzmax(M, N, 1, GSL_SPMATRIX_CCS);
gsl_spmatrix *A_crs = gsl_spmatrix_crs(A);
gsl_spmatrix *B_crs = gsl_spmatrix_crs(B);
gsl_spmatrix *C_crs = gsl_spmatrix_alloc_nzmax(M, N, 1, GSL_SPMATRIX_CRS);
gsl_spmatrix_add(C_ccs, A_ccs, B_ccs);
gsl_spmatrix_add(C_crs, A_crs, B_crs);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double aij, bij, cij;
aij = gsl_spmatrix_get(A_ccs, i, j);
bij = gsl_spmatrix_get(B_ccs, i, j);
cij = gsl_spmatrix_get(C_ccs, i, j);
if (aij + bij != cij)
status = 1;
aij = gsl_spmatrix_get(A_crs, i, j);
bij = gsl_spmatrix_get(B_crs, i, j);
cij = gsl_spmatrix_get(C_crs, i, j);
if (aij + bij != cij)
status = 2;
}
}
gsl_test(status == 1, "test_ops: add M="F_ZU" N="F_ZU" CCS", M, N);
gsl_test(status == 2, "test_ops: add M="F_ZU" N="F_ZU" CRS", M, N);
gsl_spmatrix_free(A);
gsl_spmatrix_free(B);
gsl_spmatrix_free(A_ccs);
gsl_spmatrix_free(B_ccs);
gsl_spmatrix_free(C_ccs);
gsl_spmatrix_free(A_crs);
gsl_spmatrix_free(B_crs);
gsl_spmatrix_free(C_crs);
}
} /* test_ops() */
static gsl_spmatrix *
create_random_sparse(const size_t M, const size_t N, const double density,
const gsl_rng *r)
{
size_t nnzwanted = (size_t) floor(M * N * GSL_MIN(density, 1.0));
gsl_spmatrix *m = gsl_spmatrix_alloc_nzmax(M, N,
nnzwanted,
GSL_SPMATRIX_TRIPLET);
size_t i;
/* set diagonal entries to try to ensure non-singularity */
for (i = 0; i < GSL_MIN(M, N); ++i)
{
double x = gsl_rng_uniform(r);
gsl_spmatrix_set(m, i, i, x);
}
while (gsl_spmatrix_nnz(m) < nnzwanted)
{
/* generate a random row and column */
size_t i = gsl_rng_uniform(r) * M;
size_t j = gsl_rng_uniform(r) * N;
/* generate random m_{ij} and add it */
double x = gsl_rng_uniform(r);
gsl_spmatrix_set(m, i, j, x);
}
return m;
} /* create_random_sparse() */
static void
test_ops(const size_t M, const size_t N, const gsl_rng *r)
{
size_t i, j;
int status;
/* test gsl_spmatrix_add */
{
gsl_spmatrix *Ta = create_random_sparse(M, N, 0.2, r);
gsl_spmatrix *Tb = create_random_sparse(M, N, 0.2, r);
gsl_spmatrix *a = gsl_spmatrix_compress(Ta, GSL_SPMATRIX_CCS);
gsl_spmatrix *b = gsl_spmatrix_compress(Tb, GSL_SPMATRIX_CCS);
gsl_spmatrix *c = gsl_spmatrix_alloc_nzmax(M, N, 1, GSL_SPMATRIX_CCS);
gsl_spmatrix *ar = gsl_spmatrix_compress(Ta, GSL_SPMATRIX_CRS);
gsl_spmatrix *br = gsl_spmatrix_compress(Tb, GSL_SPMATRIX_CRS);
gsl_spmatrix *cr = gsl_spmatrix_alloc_nzmax(M, N, 1, GSL_SPMATRIX_CRS);
gsl_spmatrix_add(c, a, b);
gsl_spmatrix_add(cr, ar, br);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double aij = gsl_spmatrix_get(a, i, j);
double bij = gsl_spmatrix_get(b, i, j);
double cij = gsl_spmatrix_get(c, i, j);
double crij = gsl_spmatrix_get(cr, i, j);
if ((aij + bij != cij) || (aij + bij != crij))
status = 1;
}
}
gsl_test(status, "test_ops: _add M=%zu N=%zu compressed format", M, N);
gsl_spmatrix_free(Ta);
gsl_spmatrix_free(Tb);
gsl_spmatrix_free(a);
gsl_spmatrix_free(b);
gsl_spmatrix_free(c);
gsl_spmatrix_free(ar);
gsl_spmatrix_free(br);
gsl_spmatrix_free(cr);
}
} /* test_ops() */
gsl_spmatrix *
gsl_spmatrix_ccs(const gsl_spmatrix *T)
{
if (!GSL_SPMATRIX_ISTRIPLET(T))
{
GSL_ERROR_NULL("matrix must be in triplet format", GSL_EINVAL);
}
else
{
const size_t *Tj; /* column indices of triplet matrix */
size_t *Cp; /* column pointers of compressed column matrix */
size_t *w; /* copy of column pointers */
gsl_spmatrix *m;
size_t n;
m = gsl_spmatrix_alloc_nzmax(T->size1, T->size2, T->nz,
GSL_SPMATRIX_CCS);
if (!m)
return NULL;
Tj = T->p;
Cp = m->p;
/* initialize column pointers to 0 */
for (n = 0; n < m->size2 + 1; ++n)
Cp[n] = 0;
/*
* compute the number of elements in each column:
* Cp[j] = # non-zero elements in column j
*/
for (n = 0; n < T->nz; ++n)
Cp[Tj[n]]++;
/* compute column pointers: p[j] = p[j-1] + nnz[j-1] */
gsl_spmatrix_cumsum(m->size2, Cp);
/* make a copy of the column pointers */
w = (size_t *) m->work;
for (n = 0; n < m->size2; ++n)
w[n] = Cp[n];
/* transfer data from triplet format to CCS */
for (n = 0; n < T->nz; ++n)
{
size_t k = w[Tj[n]]++;
m->i[k] = T->i[n];
m->data[k] = T->data[n];
}
m->nz = T->nz;
return m;
}
}
gsl_spmatrix *
gsl_spmatrix_alloc(const size_t n1, const size_t n2)
{
const double density = 0.1; /* estimate */
size_t nzmax = (size_t) round(n1 * n2 * density);
if (nzmax == 0)
nzmax = 10;
return gsl_spmatrix_alloc_nzmax(n1, n2, nzmax, GSL_SPMATRIX_TRIPLET);
} /* gsl_spmatrix_alloc() */
static gsl_spmatrix *
create_random_sparse(const size_t M, const size_t N, const double density,
const gsl_rng *r)
{
size_t nnzwanted = (size_t) floor(M * N * GSL_MIN(density, 1.0));
gsl_spmatrix *m = gsl_spmatrix_alloc_nzmax(M, N,
nnzwanted,
GSL_SPMATRIX_TRIPLET);
while (gsl_spmatrix_nnz(m) < nnzwanted)
{
/* generate a random row and column */
size_t i = gsl_rng_uniform(r) * M;
size_t j = gsl_rng_uniform(r) * N;
/* generate random m_{ij} and add it */
double x = gsl_rng_uniform(r);
gsl_spmatrix_set(m, i, j, x, 0);
}
return m;
} /* create_random_sparse() */
static gsl_spmatrix *
create_random_sparse_int(const size_t M, const size_t N, const double density,
const gsl_rng *r)
{
const double lower = 1.0;
const double upper = 10.0;
size_t nnzwanted = (size_t) floor(M * N * GSL_MIN(density, 1.0));
gsl_spmatrix *m = gsl_spmatrix_alloc_nzmax(M, N,
nnzwanted,
GSL_SPMATRIX_TRIPLET);
while (gsl_spmatrix_nnz(m) < nnzwanted)
{
/* generate a random row and column */
size_t i = gsl_rng_uniform(r) * M;
size_t j = gsl_rng_uniform(r) * N;
/* generate random m_{ij} and add it */
int x = (int) (gsl_rng_uniform(r) * (upper - lower) + lower);
gsl_spmatrix_set(m, i, j, (double) x);
}
return m;
}
void
test_manip(const size_t M, const size_t N, const double density,
const gsl_rng *r)
{
int status;
gsl_spmatrix *tri, *ccs, *crs, *test;
gsl_matrix *dense, *denseDivRows, *denseDivCols;
double sum, sumDense;
gsl_vector *v;
gsl_vector *denseRowSum, *denseColSum;
size_t i, j;
tri = create_random_sparse(M, N, density, r);
dense = gsl_matrix_alloc(M, N);
gsl_spmatrix_sp2d(dense, tri);
/** Get row sum and col sum aswell as divided matrices for dense */
denseDivRows = gsl_matrix_calloc(M, N);
denseDivCols = gsl_matrix_calloc(M, N);
denseRowSum = gsl_vector_calloc(M);
denseColSum = gsl_vector_calloc(N);
sumDense = 0.;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
denseRowSum->data[i * denseRowSum->stride] += gsl_matrix_get(dense, i, j);
denseColSum->data[j * denseColSum->stride] += gsl_matrix_get(dense, i, j);
sumDense += gsl_matrix_get(dense, i, j);
}
}
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
if (gsl_pow_2(denseRowSum->data[i * denseRowSum->stride]) > 1.e-12)
{
gsl_matrix_set(denseDivRows, i, j, gsl_matrix_get(dense, i, j)
/ denseRowSum->data[i * denseRowSum->stride]);
}
else
{
gsl_matrix_set(denseDivRows, i, j, gsl_matrix_get(dense, i, j));
}
if (gsl_pow_2(denseColSum->data[j * denseColSum->stride]) > 1.e-12)
{
gsl_matrix_set(denseDivCols, i, j, gsl_matrix_get(dense, i, j)
/ denseColSum->data[j * denseColSum->stride]);
}
else
{
gsl_matrix_set(denseDivCols, i, j, gsl_matrix_get(dense, i, j));
}
}
}
// Compress
ccs = gsl_spmatrix_compress(tri, GSL_SPMATRIX_CCS);
crs = gsl_spmatrix_compress(tri, GSL_SPMATRIX_CRS);
/** TOTAL SUM */
/** Triplet */
sum = gsl_spmatrix_get_sum(tri);
status = !(sum == sumDense);
gsl_test(status, "test_manip: M=%zu N=%zu _get != _get_sum triplet", M, N);
/** CCS */
sum = gsl_spmatrix_get_sum(ccs);
status = !(sum == sumDense);
gsl_test(status, "test_manip: M=%zu N=%zu _get != _get_sum CCS", M, N);
/** CRS */
sum = gsl_spmatrix_get_sum(crs);
status = !(sum == sumDense);
gsl_test(status, "test_manip: M=%zu N=%zu _get != _get_sum CRS", M, N);
/** COLUMN SUM AND DIVIDE */
/** Triplet */
/* Sum */
v = gsl_vector_alloc(M);
gsl_spmatrix_get_rowsum(v, tri);
status = 0;
for (i = 0; i < M; i++)
if (v->data[i * v->stride] != denseRowSum->data[i * denseRowSum->stride])
status = 1;
gsl_test(status, "test_manip: M=%zu N=%zu _get != _get_rowsum triplet", M, N);
/* Div */
test = gsl_spmatrix_alloc_nzmax(crs->size1, crs->size2, 0, GSL_SPMATRIX_TRIPLET);
gsl_spmatrix_memcpy(test, tri);
gsl_spmatrix_div_rows(test, v);
status = 0;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
if (gsl_matrix_get(denseDivRows, i, j) != gsl_spmatrix_get(test, i, j))
status = 1;
}
}
gsl_test(status, "test_manip: M=%zu N=%zu _get != _div_rows triplet", M, N);
gsl_vector_free(v);
gsl_spmatrix_free(test);
/** CCS */
/* Sum */
v = gsl_vector_alloc(M);
gsl_spmatrix_get_rowsum(v, ccs);
status = 0;
for (i = 0; i < M; i++)
if (v->data[i * v->stride] != denseRowSum->data[i * denseRowSum->stride])
status = 1;
gsl_test(status, "test_manip: M=%zu N=%zu _get != _get_rowsum CCS", M, N);
/* Div */
test = gsl_spmatrix_alloc_nzmax(ccs->size1, ccs->size2, 0, GSL_SPMATRIX_CCS);
gsl_spmatrix_memcpy(test, ccs);
gsl_spmatrix_div_rows(test, v);
status = 0;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
if (gsl_matrix_get(denseDivRows, i, j) != gsl_spmatrix_get(test, i, j))
status = 1;
}
}
gsl_test(status, "test_manip: M=%zu N=%zu _get != _div_rows CCS", M, N);
gsl_vector_free(v);
gsl_spmatrix_free(test);
/* CRS */
/* Sum */
v = gsl_vector_alloc(M);
gsl_spmatrix_get_rowsum(v, crs);
status = 0;
for (i = 0; i < M; i++)
if (v->data[i * v->stride] != denseRowSum->data[i * denseRowSum->stride])
status = 1;
gsl_test(status, "test_manip: M=%zu N=%zu _get != _get_rowsum CRS", M, N);
/* Div */
test = gsl_spmatrix_alloc_nzmax(crs->size1, crs->size2, 0, GSL_SPMATRIX_CRS);
gsl_spmatrix_memcpy(test, crs);
gsl_spmatrix_div_rows(test, v);
status = 0;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
if (gsl_matrix_get(denseDivRows, i, j) != gsl_spmatrix_get(test, i, j))
status = 1;
}
}
gsl_test(status, "test_manip: M=%zu N=%zu _get != _div_rows CRS", M, N);
gsl_vector_free(v);
gsl_spmatrix_free(test);
/** COLUMN SUM AND DIVIDE */
/** Triplet */
/* Sum */
v = gsl_vector_alloc(N);
gsl_spmatrix_get_colsum(v, tri);
status = 0;
for (j = 0; j < N; j++)
if (v->data[j * v->stride] != denseColSum->data[j * denseColSum->stride])
status = 1;
gsl_test(status, "test_manip: M=%zu N=%zu _get != _get_colsum triplet", M, N);
/* Div */
test = gsl_spmatrix_alloc_nzmax(tri->size1, tri->size2, 0, GSL_SPMATRIX_TRIPLET);
gsl_spmatrix_memcpy(test, tri);
gsl_spmatrix_div_cols(test, v);
status = 0;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
if (gsl_fcmp(gsl_matrix_get(denseDivCols, i, j), gsl_spmatrix_get(test, i, j), 1.e-12))
{
fprintf(stdout, "mismatch: (%zu, %zu) %lf != %lf\n", i, j, gsl_matrix_get(denseDivCols, i, j),
gsl_spmatrix_get(test, i, j));
status = 1;
}
}
}
gsl_test(status, "test_manip: M=%zu N=%zu _get != _div_cols triplet", M, N);
gsl_vector_free(v);
gsl_spmatrix_free(test);
/** CCS */
/** Sum */
v = gsl_vector_alloc(N);
gsl_spmatrix_get_colsum(v, ccs);
status = 0;
for (j = 0; j < N; j++)
if (v->data[j * v->stride] != denseColSum->data[j * denseColSum->stride])
status = 1;
gsl_test(status, "test_manip: M=%zu N=%zu _get != _get_colsum CCS", M, N);
/** Div */
test = gsl_spmatrix_alloc_nzmax(ccs->size1, ccs->size2, 0, GSL_SPMATRIX_CCS);
gsl_spmatrix_memcpy(test, ccs);
gsl_spmatrix_div_cols(test, v);
status = 0;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
if (gsl_matrix_get(denseDivCols, i, j) != gsl_spmatrix_get(test, i, j))
status = 1;
}
}
gsl_test(status, "test_manip: M=%zu N=%zu _get != _div_cols CCS", M, N);
gsl_vector_free(v);
gsl_spmatrix_free(test);
/** CRS */
/* Sum */
v = gsl_vector_alloc(N);
gsl_spmatrix_get_colsum(v, crs);
status = 0;
for (j = 0; j < N; j++)
if (v->data[j * v->stride] != denseColSum->data[j * denseColSum->stride])
status = 1;
gsl_test(status, "test_manip: M=%zu N=%zu _get != _get_colsum CRS", M, N);
/* Div */
test = gsl_spmatrix_alloc_nzmax(crs->size1, crs->size2, 0, GSL_SPMATRIX_CRS);
gsl_spmatrix_memcpy(test, crs);
gsl_spmatrix_div_cols(test, v);
status = 0;
for (i = 0; i < M; i++)
{
for (j = 0; j < N; j++)
{
if (gsl_matrix_get(denseDivCols, i, j) != gsl_spmatrix_get(test, i, j))
status = 1;
}
}
gsl_test(status, "test_manip: M=%zu N=%zu _get != _div_cols CRS", M, N);
gsl_vector_free(v);
gsl_spmatrix_free(test);
/** Free */
gsl_spmatrix_free(tri);
gsl_spmatrix_free(ccs);
gsl_spmatrix_free(crs);
gsl_matrix_free(dense);
gsl_matrix_free(denseDivRows);
gsl_matrix_free(denseDivCols);
gsl_vector_free(denseRowSum);
gsl_vector_free(denseColSum);
return;
}
static void
test_memcpy(const size_t M, const size_t N, const gsl_rng *r)
{
int status;
{
gsl_spmatrix *at = create_random_sparse(M, N, 0.2, r);
gsl_spmatrix *ac = gsl_spmatrix_compress(at, GSL_SPMATRIX_CCS);
gsl_spmatrix *ar = gsl_spmatrix_compress(at, GSL_SPMATRIX_CRS);
gsl_spmatrix *bt, *bc, *br;
bt = gsl_spmatrix_alloc(M, N);
gsl_spmatrix_memcpy(bt, at);
status = gsl_spmatrix_equal(at, bt) != 1;
gsl_test(status, "test_memcpy: _memcpy M=%zu N=%zu triplet format", M, N);
bc = gsl_spmatrix_alloc_nzmax(M, N, ac->nzmax, GSL_SPMATRIX_CCS);
gsl_spmatrix_memcpy(bc, ac);
status = gsl_spmatrix_equal(ac, bc) != 1;
gsl_test(status, "test_memcpy: _memcpy M=%zu N=%zu compressed column format", M, N);
br = gsl_spmatrix_alloc_nzmax(M, N, ar->nzmax, GSL_SPMATRIX_CRS);
gsl_spmatrix_memcpy(br, ar);
status = gsl_spmatrix_equal(ar, br) != 1;
gsl_test(status, "test_memcpy: _memcpy M=%zu N=%zu compressed row format", M, N);
gsl_spmatrix_free(at);
gsl_spmatrix_free(ac);
gsl_spmatrix_free(ar);
gsl_spmatrix_free(bt);
gsl_spmatrix_free(bc);
gsl_spmatrix_free(br);
}
/* test transpose_memcpy */
{
gsl_spmatrix *A = create_random_sparse(M, N, 0.3, r);
gsl_spmatrix *B = gsl_spmatrix_compress(A, GSL_SPMATRIX_CCS);
gsl_spmatrix *BR = gsl_spmatrix_compress(A, GSL_SPMATRIX_CRS);
gsl_spmatrix *AT = gsl_spmatrix_alloc(N, M);
gsl_spmatrix *BT = gsl_spmatrix_alloc_nzmax(N, M, 1, GSL_SPMATRIX_CCS);
gsl_spmatrix *BTR = gsl_spmatrix_alloc_nzmax(N, M, 1, GSL_SPMATRIX_CRS);
size_t i, j;
gsl_spmatrix_transpose_memcpy(AT, A);
gsl_spmatrix_transpose_memcpy(BT, B);
gsl_spmatrix_transpose_memcpy(BTR, BR);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Aij = gsl_spmatrix_get(A, i, j);
double ATji = gsl_spmatrix_get(AT, j, i);
if (Aij != ATji)
status = 1;
}
}
gsl_test(status, "test_memcpy: _transpose_memcpy M=%zu N=%zu triplet format", M, N);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Aij = gsl_spmatrix_get(A, i, j);
double Bij = gsl_spmatrix_get(B, i, j);
double BTji = gsl_spmatrix_get(BT, j, i);
if ((Bij != BTji) || (Aij != Bij))
status = 1;
}
}
gsl_test(status, "test_memcpy: _transpose_memcpy M=%zu N=%zu column format", M, N);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Aij = gsl_spmatrix_get(A, i, j);
double BRij = gsl_spmatrix_get(BR, i, j);
double BTRji = gsl_spmatrix_get(BTR, j, i);
if ((Aij != BRij) || (BRij != BTRji))
status = 1;
}
}
gsl_test(status, "test_memcpy: _transpose_memcpy M=%zu N=%zu row format", M, N);
gsl_spmatrix_free(A);
gsl_spmatrix_free(AT);
gsl_spmatrix_free(B);
gsl_spmatrix_free(BT);
gsl_spmatrix_free(BR);
gsl_spmatrix_free(BTR);
}
} /* test_memcpy() */
static void
test_io_binary(const size_t M, const size_t N,
const double density, const gsl_rng *r)
{
int status;
gsl_spmatrix *A = create_random_sparse(M, N, density, r);
gsl_spmatrix *A_ccs, *A_crs;
char filename[] = "test.XXXXXX";
#if !defined( _WIN32 )
int fd = mkstemp(filename);
#else
char * fd = _mktemp(filename);
# define fdopen fopen
#endif
/* test triplet I/O */
{
FILE *f = fdopen(fd, "wb");
gsl_spmatrix_fwrite(f, A);
fclose(f);
}
{
FILE *f = fopen(filename, "rb");
gsl_spmatrix *B = gsl_spmatrix_alloc_nzmax(M, N, A->nz, A->sptype);
gsl_spmatrix_fread(f, B);
status = gsl_spmatrix_equal(A, B) != 1;
gsl_test(status, "test_io_binary: fwrite/fread M="F_ZU" N="F_ZU" triplet format", M, N);
fclose(f);
gsl_spmatrix_free(B);
}
/* test CCS I/O */
A_ccs = gsl_spmatrix_ccs(A);
{
FILE *f = fopen(filename, "wb");
gsl_spmatrix_fwrite(f, A_ccs);
fclose(f);
}
{
FILE *f = fopen(filename, "rb");
gsl_spmatrix *B = gsl_spmatrix_alloc_nzmax(M, N, A->nz, GSL_SPMATRIX_CCS);
gsl_spmatrix_fread(f, B);
status = gsl_spmatrix_equal(A_ccs, B) != 1;
gsl_test(status, "test_io_binary: fwrite/fread M="F_ZU" N="F_ZU" CCS format", M, N);
fclose(f);
gsl_spmatrix_free(B);
}
/* test CRS I/O */
A_crs = gsl_spmatrix_crs(A);
{
FILE *f = fopen(filename, "wb");
gsl_spmatrix_fwrite(f, A_crs);
fclose(f);
}
{
FILE *f = fopen(filename, "rb");
gsl_spmatrix *B = gsl_spmatrix_alloc_nzmax(M, N, A->nz, GSL_SPMATRIX_CRS);
gsl_spmatrix_fread(f, B);
status = gsl_spmatrix_equal(A_crs, B) != 1;
gsl_test(status, "test_io_binary: fwrite/fread M="F_ZU" N="F_ZU" CRS format", M, N);
fclose(f);
gsl_spmatrix_free(B);
}
unlink(filename);
gsl_spmatrix_free(A);
gsl_spmatrix_free(A_ccs);
gsl_spmatrix_free(A_crs);
}
static void
test_transpose(const size_t M, const size_t N,
const double density, const gsl_rng *r)
{
int status;
gsl_spmatrix *A = create_random_sparse(M, N, density, r);
gsl_spmatrix *AT = gsl_spmatrix_alloc_nzmax(M, N, A->nz, A->sptype);
gsl_spmatrix *AT2 = gsl_spmatrix_alloc_nzmax(M, N, A->nz, A->sptype);
gsl_spmatrix *AT2_ccs, *AT2_crs;
size_t i, j;
/* test triplet transpose */
gsl_spmatrix_memcpy(AT, A);
gsl_spmatrix_memcpy(AT2, A);
gsl_spmatrix_transpose(AT);
gsl_spmatrix_transpose2(AT2);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Aij = gsl_spmatrix_get(A, i, j);
double ATji = gsl_spmatrix_get(AT, j, i);
double AT2ji = gsl_spmatrix_get(AT2, j, i);
if (Aij != ATji)
status = 1;
if (Aij != AT2ji)
status = 2;
}
}
gsl_test(status == 1, "test_transpose: transpose M="F_ZU" N="F_ZU" triplet format",
M, N);
gsl_test(status == 2, "test_transpose: transpose2 M="F_ZU" N="F_ZU" triplet format",
M, N);
/* test CCS transpose */
AT2_ccs = gsl_spmatrix_ccs(A);
gsl_spmatrix_transpose2(AT2_ccs);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Aij = gsl_spmatrix_get(A, i, j);
double AT2ji = gsl_spmatrix_get(AT2_ccs, j, i);
if (Aij != AT2ji)
status = 2;
}
}
gsl_test(status == 2, "test_transpose: transpose2 M="F_ZU" N="F_ZU" CCS format",
M, N);
/* test CRS transpose */
AT2_crs = gsl_spmatrix_crs(A);
gsl_spmatrix_transpose2(AT2_crs);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Aij = gsl_spmatrix_get(A, i, j);
double AT2ji = gsl_spmatrix_get(AT2_crs, j, i);
if (Aij != AT2ji)
status = 2;
}
}
gsl_test(status == 2, "test_transpose: transpose2 M="F_ZU" N="F_ZU" CRS format",
M, N);
gsl_spmatrix_free(A);
gsl_spmatrix_free(AT);
gsl_spmatrix_free(AT2);
gsl_spmatrix_free(AT2_ccs);
gsl_spmatrix_free(AT2_crs);
}
static void
test_memcpy(const size_t M, const size_t N,
const double density, const gsl_rng *r)
{
int status;
{
gsl_spmatrix *A = create_random_sparse(M, N, density, r);
gsl_spmatrix *A_ccs = gsl_spmatrix_ccs(A);
gsl_spmatrix *A_crs = gsl_spmatrix_crs(A);
gsl_spmatrix *B_t, *B_ccs, *B_crs;
B_t = gsl_spmatrix_alloc(M, N);
gsl_spmatrix_memcpy(B_t, A);
status = gsl_spmatrix_equal(A, B_t) != 1;
gsl_test(status, "test_memcpy: _memcpy M="F_ZU" N="F_ZU" triplet format", M, N);
B_ccs = gsl_spmatrix_alloc_nzmax(M, N, A_ccs->nzmax, GSL_SPMATRIX_CCS);
B_crs = gsl_spmatrix_alloc_nzmax(M, N, A_ccs->nzmax, GSL_SPMATRIX_CRS);
gsl_spmatrix_memcpy(B_ccs, A_ccs);
gsl_spmatrix_memcpy(B_crs, A_crs);
status = gsl_spmatrix_equal(A_ccs, B_ccs) != 1;
gsl_test(status, "test_memcpy: _memcpy M="F_ZU" N="F_ZU" CCS", M, N);
status = gsl_spmatrix_equal(A_crs, B_crs) != 1;
gsl_test(status, "test_memcpy: _memcpy M="F_ZU" N="F_ZU" CRS", M, N);
gsl_spmatrix_free(A);
gsl_spmatrix_free(A_ccs);
gsl_spmatrix_free(A_crs);
gsl_spmatrix_free(B_t);
gsl_spmatrix_free(B_ccs);
gsl_spmatrix_free(B_crs);
}
/* test transpose_memcpy */
{
gsl_spmatrix *A = create_random_sparse(M, N, density, r);
gsl_spmatrix *AT = gsl_spmatrix_alloc(N, M);
gsl_spmatrix *B = gsl_spmatrix_ccs(A);
gsl_spmatrix *BT = gsl_spmatrix_alloc_nzmax(N, M, 1, GSL_SPMATRIX_CCS);
gsl_spmatrix *C = gsl_spmatrix_crs(A);
gsl_spmatrix *CT = gsl_spmatrix_alloc_nzmax(N, M, 1, GSL_SPMATRIX_CRS);
size_t i, j;
gsl_spmatrix_transpose_memcpy(AT, A);
gsl_spmatrix_transpose_memcpy(BT, B);
gsl_spmatrix_transpose_memcpy(CT, C);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Aij = gsl_spmatrix_get(A, i, j);
double ATji = gsl_spmatrix_get(AT, j, i);
if (Aij != ATji)
status = 1;
}
}
gsl_test(status, "test_memcpy: _transpose_memcpy M="F_ZU" N="F_ZU" triplet format", M, N);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Aij = gsl_spmatrix_get(A, i, j);
double Bij = gsl_spmatrix_get(B, i, j);
double BTji = gsl_spmatrix_get(BT, j, i);
if ((Bij != BTji) || (Aij != Bij))
status = 1;
}
}
gsl_test(status, "test_memcpy: _transpose_memcpy M="F_ZU" N="F_ZU" CCS format", M, N);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Aij = gsl_spmatrix_get(A, i, j);
double Cij = gsl_spmatrix_get(C, i, j);
double CTji = gsl_spmatrix_get(CT, j, i);
if ((Cij != CTji) || (Aij != Cij))
status = 1;
}
}
gsl_test(status, "test_memcpy: _transpose_memcpy M="F_ZU" N="F_ZU" CRS format", M, N);
gsl_spmatrix_free(A);
gsl_spmatrix_free(AT);
gsl_spmatrix_free(B);
gsl_spmatrix_free(BT);
gsl_spmatrix_free(C);
gsl_spmatrix_free(CT);
}
} /* test_memcpy() */
int
main (void)
{
const size_t p = 2000;
const size_t n = p + 1;
gsl_vector *f = gsl_vector_alloc(n);
gsl_vector *x = gsl_vector_alloc(p);
/* allocate sparse Jacobian matrix with 2*p non-zero elements in triplet format */
gsl_spmatrix *J = gsl_spmatrix_alloc_nzmax(n, p, 2 * p, GSL_SPMATRIX_TRIPLET);
gsl_multilarge_nlinear_fdf fdf;
gsl_multilarge_nlinear_parameters fdf_params =
gsl_multilarge_nlinear_default_parameters();
struct model_params params;
size_t i;
params.alpha = 1.0e-5;
params.J = J;
/* define function to be minimized */
fdf.f = penalty_f;
fdf.df = penalty_df;
fdf.fvv = penalty_fvv;
fdf.n = n;
fdf.p = p;
fdf.params = ¶ms;
for (i = 0; i < p; ++i)
{
/* starting point */
gsl_vector_set(x, i, i + 1.0);
/* store sqrt(alpha)*I_p in upper p-by-p block of J */
gsl_spmatrix_set(J, i, i, sqrt(params.alpha));
}
fprintf(stderr, "%-25s %-4s %-4s %-5s %-6s %-4s %-10s %-10s %-7s %-11s %-10s\n",
"Method", "NITER", "NFEV", "NJUEV", "NJTJEV", "NAEV", "Init Cost",
"Final cost", "cond(J)", "Final |x|^2", "Time (s)");
fdf_params.scale = gsl_multilarge_nlinear_scale_levenberg;
fdf_params.trs = gsl_multilarge_nlinear_trs_lm;
solve_system(x, &fdf, &fdf_params);
fdf_params.trs = gsl_multilarge_nlinear_trs_lmaccel;
solve_system(x, &fdf, &fdf_params);
fdf_params.trs = gsl_multilarge_nlinear_trs_dogleg;
solve_system(x, &fdf, &fdf_params);
fdf_params.trs = gsl_multilarge_nlinear_trs_ddogleg;
solve_system(x, &fdf, &fdf_params);
fdf_params.trs = gsl_multilarge_nlinear_trs_cgst;
solve_system(x, &fdf, &fdf_params);
gsl_vector_free(f);
gsl_vector_free(x);
gsl_spmatrix_free(J);
return 0;
}