static gsl_spmatrix *
create_random_sparse(const size_t M, const size_t N, const double density,
const gsl_rng *r)
{
gsl_spmatrix *m = gsl_spmatrix_alloc(M, N);
size_t nnzwanted = (size_t) round(M * N * GSL_MIN(density, 1.0));
size_t n = 0;
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);
++n;
}
while (n <= nnzwanted)
{
/* generate a random row and column */
size_t i = gsl_rng_uniform(r) * M;
size_t j = gsl_rng_uniform(r) * N;
double x;
/* check if this position is already filled */
if (gsl_spmatrix_get(m, i, j) != 0.0)
continue;
/* generate random m_{ij} and add it */
x = gsl_rng_uniform(r);
gsl_spmatrix_set(m, i, j, x);
++n;
}
return m;
} /* create_random_sparse() */
static void
test_getset(const size_t M, const size_t N, const gsl_rng *r)
{
int status;
size_t i, j;
/* test triplet versions of _get and _set */
{
size_t k = 0;
gsl_spmatrix *m = gsl_spmatrix_alloc(M, N);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double x = (double) ++k;
double y;
gsl_spmatrix_set(m, i, j, x, 0);
y = gsl_spmatrix_get(m, i, j);
if (x != y)
status = 1;
}
}
gsl_test(status, "test_getset: M=%zu N=%zu _get != _set", M, N);
/* test setting an element to 0 */
gsl_spmatrix_set(m, 0, 0, 1.0, 0);
gsl_spmatrix_set(m, 0, 0, 0.0, 0);
status = gsl_spmatrix_get(m, 0, 0) != 0.0;
gsl_test(status, "test_getset: M=%zu N=%zu m(0,0) = %f",
M, N, gsl_spmatrix_get(m, 0, 0));
/* test gsl_spmatrix_set_zero() */
gsl_spmatrix_set(m, 0, 0, 1.0, 0);
gsl_spmatrix_set_zero(m);
status = gsl_spmatrix_get(m, 0, 0) != 0.0;
gsl_test(status, "test_getset: M=%zu N=%zu set_zero m(0,0) = %f",
M, N, gsl_spmatrix_get(m, 0, 0));
/* resassemble matrix to ensure nz is calculated correctly */
k = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double x = (double) ++k;
gsl_spmatrix_set(m, i, j, x, 0);
}
}
status = gsl_spmatrix_nnz(m) != M * N;
gsl_test(status, "test_getset: M=%zu N=%zu set_zero nz = %zu",
M, N, gsl_spmatrix_nnz(m));
gsl_spmatrix_free(m);
}
/* test duplicate values are handled correctly */
{
size_t min = GSL_MIN(M, N);
size_t expected_nnz = min;
size_t nnz;
size_t k = 0;
gsl_spmatrix *m = gsl_spmatrix_alloc(M, N);
status = 0;
for (i = 0; i < min; ++i)
{
for (j = 0; j < 5; ++j)
{
double x = (double) ++k;
double y;
gsl_spmatrix_set(m, i, i, x, 0);
y = gsl_spmatrix_get(m, i, i);
if (x != y)
status = 1;
}
}
gsl_test(status, "test_getset: duplicate test M=%zu N=%zu _get != _set", M, N);
nnz = gsl_spmatrix_nnz(m);
status = nnz != expected_nnz;
gsl_test(status, "test_getset: duplicate test M=%zu N=%zu nnz=%zu, expected=%zu",
M, N, nnz, expected_nnz);
gsl_spmatrix_free(m);
}
/* test compressed version of gsl_spmatrix_get() */
{
gsl_spmatrix *T = create_random_sparse(M, N, 0.3, r);
gsl_spmatrix *C = gsl_spmatrix_compress(T, GSL_SPMATRIX_CCS);
gsl_spmatrix *CR = gsl_spmatrix_compress(T, GSL_SPMATRIX_CRS);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Tij = gsl_spmatrix_get(T, i, j);
double Cij = gsl_spmatrix_get(C, i, j);
if (Tij != Cij)
status = 1;
}
}
gsl_test(status, "test_getset: M=%zu N=%zu compressed column _get", M, N);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Tij = gsl_spmatrix_get(T, i, j);
double Cij = gsl_spmatrix_get(CR, i, j);
if (Tij != Cij)
status = 1;
}
}
gsl_test(status, "test_getset: M=%zu N=%zu compressed row _get", M, N);
gsl_spmatrix_free(T);
gsl_spmatrix_free(C);
gsl_spmatrix_free(CR);
}
} /* test_getset() */
void
test_prop(const size_t M, const size_t N, const double density,
const double d, const gsl_rng *r)
{
gsl_spmatrix *m, *test, *ccs, *crs;
size_t n, p, outerIdx;
int status, any;
m = create_random_sparse(M, N, density, r);
ccs = gsl_spmatrix_compress(m, GSL_SPMATRIX_CCS);
crs = gsl_spmatrix_compress(m, GSL_SPMATRIX_CRS);
// For triplet
/** Test greater than */
test = gsl_spmatrix_gt_elements(m, d);
status = 0;
for (n = 0; n < m->nz; n++)
{
if ((m->data[n] > d) != (gsl_spmatrix_get(test, m->i[n], m->p[n])))
status = 1;
}
gsl_test(status, "test_prop: M=%zu N=%zu _gt_elements triplet", M, N);
gsl_spmatrix_free(test);
/** Test greater or equal than */
test = gsl_spmatrix_ge_elements(m, d);
status = 0;
for (n = 0; n < m->nz; n++)
{
if ((m->data[n] >= d) != (gsl_spmatrix_get(test, m->i[n], m->p[n])))
status = 1;
}
gsl_test(status, "test_prop: M=%zu N=%zu _ge_elements triplet", M, N);
gsl_spmatrix_free(test);
/** Test lower than */
test = gsl_spmatrix_lt_elements(m, d);
status = 0;
for (n = 0; n < m->nz; n++)
{
if ((m->data[n] < d) != (gsl_spmatrix_get(test, m->i[n], m->p[n])))
status = 1;
}
gsl_test(status, "test_prop: M=%zu N=%zu _lt_elements triplet", M, N);
gsl_spmatrix_free(test);
/** Test lower or equal than */
test = gsl_spmatrix_le_elements(m, d);
status = 0;
any = 0;
for (n = 0; n < m->nz; n++)
{
if ((m->data[n] <= d) != (gsl_spmatrix_get(test, m->i[n], m->p[n])))
status = 1;
if (m->data[n] <= d)
any = 1;
}
gsl_test(status, "test_prop: M=%zu N=%zu _le_elements triplet", M, N);
gsl_spmatrix_free(test);
/** Test any */
status = !(any == (int) gsl_spmatrix_any(test));
gsl_test(status, "test_prop: M=%zu N=%zu _any triplet", M, N);
// For CCS
/** Test greater than */
test = gsl_spmatrix_gt_elements(ccs, d);
status = 0;
for (outerIdx = 0; outerIdx < ccs->outerSize; outerIdx++)
{
for (p = ccs->p[outerIdx]; p < ccs->p[outerIdx + 1]; p++)
{
if (((int) gsl_spmatrix_get(test, ccs->i[p], outerIdx)) != (ccs->data[p] > d))
status = 1;
}
}
gsl_test(status, "test_prop: M=%zu N=%zu _gt_elements CCS", M, N);
gsl_spmatrix_free(test);
/** Test greater or equal than */
test = gsl_spmatrix_ge_elements(ccs, d);
status = 0;
for (outerIdx = 0; outerIdx < ccs->outerSize; outerIdx++)
{
for (p = ccs->p[outerIdx]; p < ccs->p[outerIdx + 1]; p++)
{
if (((int) gsl_spmatrix_get(test, ccs->i[p], outerIdx)) != (ccs->data[p] >= d))
status = 1;
}
}
gsl_test(status, "test_prop: M=%zu N=%zu _ge_elements CCS", M, N);
gsl_spmatrix_free(test);
/** Test lower than */
test = gsl_spmatrix_lt_elements(ccs, d);
status = 0;
for (outerIdx = 0; outerIdx < ccs->outerSize; outerIdx++)
{
for (p = ccs->p[outerIdx]; p < ccs->p[outerIdx + 1]; p++)
{
if (((int) gsl_spmatrix_get(test, ccs->i[p], outerIdx)) != (ccs->data[p] < d))
status = 1;
}
}
gsl_test(status, "test_prop: M=%zu N=%zu _lt_elements CCS", M, N);
gsl_spmatrix_free(test);
/** Test lower or equal than */
test = gsl_spmatrix_le_elements(ccs, d);
status = 0;
any = 0;
for (outerIdx = 0; outerIdx < ccs->outerSize; outerIdx++)
{
for (p = ccs->p[outerIdx]; p < ccs->p[outerIdx + 1]; p++)
{
if (((int) gsl_spmatrix_get(test, ccs->i[p], outerIdx)) != (ccs->data[p] <= d))
status = 1;
if (ccs->data[p] <= d)
any = 1;
}
}
gsl_test(status, "test_prop: M=%zu N=%zu _le_elements CCS", M, N);
gsl_spmatrix_free(test);
/** Test any */
status = !(any == (int) gsl_spmatrix_any(test));
gsl_test(status, "test_prop: M=%zu N=%zu _any CCS", M, N);
// For CRS
/** Test greater than */
test = gsl_spmatrix_gt_elements(crs, d);
status = 0;
for (outerIdx = 0; outerIdx < crs->outerSize; outerIdx++)
{
for (p = crs->p[outerIdx]; p < crs->p[outerIdx + 1]; p++)
{
if (((int) gsl_spmatrix_get(test, outerIdx, crs->i[p])) != (crs->data[p] > d))
status = 1;
}
}
gsl_test(status, "test_prop: M=%zu N=%zu _gt_elements CRS", M, N);
gsl_spmatrix_free(test);
/** Test greater or equal than */
test = gsl_spmatrix_ge_elements(crs, d);
status = 0;
for (outerIdx = 0; outerIdx < crs->outerSize; outerIdx++)
{
for (p = crs->p[outerIdx]; p < crs->p[outerIdx + 1]; p++)
{
if (((int) gsl_spmatrix_get(test, outerIdx, crs->i[p])) != (crs->data[p] >= d))
status = 1;
}
}
gsl_test(status, "test_prop: M=%zu N=%zu _ge_elements CRS", M, N);
gsl_spmatrix_free(test);
/** Test lower than */
test = gsl_spmatrix_lt_elements(crs, d);
status = 0;
for (outerIdx = 0; outerIdx < crs->outerSize; outerIdx++)
{
for (p = crs->p[outerIdx]; p < crs->p[outerIdx + 1]; p++)
{
if (((int) gsl_spmatrix_get(test, outerIdx, crs->i[p])) != (crs->data[p] < d))
status = 1;
}
}
gsl_test(status, "test_prop: M=%zu N=%zu _lt_elements CRS", M, N);
gsl_spmatrix_free(test);
/** Test lower or equal than */
test = gsl_spmatrix_le_elements(crs, d);
status = 0;
any = 0;
for (outerIdx = 0; outerIdx < crs->outerSize; outerIdx++)
{
for (p = crs->p[outerIdx]; p < crs->p[outerIdx + 1]; p++)
{
if (((int) gsl_spmatrix_get(test, outerIdx, crs->i[p])) != (crs->data[p] <= d))
status = 1;
if (crs->data[p] <= d)
any = 1;
}
}
gsl_test(status, "test_prop: M=%zu N=%zu _le_elements CRS", M, N);
gsl_spmatrix_free(test);
/** Test any */
status = !(any == (int) gsl_spmatrix_any(test));
gsl_test(status, "test_prop: M=%zu N=%zu _any CRS", M, N);
gsl_spmatrix_free(m);
gsl_spmatrix_free(ccs);
gsl_spmatrix_free(crs);
return;
}
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() */
int
gsl_spmatrix_equal(const gsl_spmatrix *a, const gsl_spmatrix *b)
{
const size_t M = a->size1;
const size_t N = a->size2;
if (b->size1 != M || b->size2 != N)
{
GSL_ERROR_VAL("matrices must have same dimensions", GSL_EBADLEN, 0);
}
else if (a->sptype != b->sptype)
{
GSL_ERROR_VAL("trying to compare different sparse matrix types", GSL_EINVAL, 0);
}
else
{
const size_t nz = a->nz;
size_t n;
if (nz != b->nz)
return 0; /* different number of non-zero elements */
if (GSL_SPMATRIX_ISTRIPLET(a))
{
/*
* triplet formats could be out of order but identical, so use
* gsl_spmatrix_get() on b for each aij
*/
for (n = 0; n < nz; ++n)
{
double bij = gsl_spmatrix_get(b, a->i[n], a->p[n]);
if (a->data[n] != bij)
return 0;
}
}
else if (GSL_SPMATRIX_ISCCS(a))
{
/*
* for compressed column, both matrices should have everything
* in the same order
*/
/* check row indices and data */
for (n = 0; n < nz; ++n)
{
if ((a->i[n] != b->i[n]) || (a->data[n] != b->data[n]))
return 0;
}
/* check column pointers */
for (n = 0; n < a->size2 + 1; ++n)
{
if (a->p[n] != b->p[n])
return 0;
}
}
else
{
GSL_ERROR_VAL("unknown sparse matrix type", GSL_EINVAL, 0);
}
return 1;
}
} /* gsl_spmatrix_equal() */
static void
test_getset(const size_t M, const size_t N,
const double density, const gsl_rng *r)
{
int status;
size_t i, j;
/* test triplet versions of _get and _set */
{
const double val = 0.75;
size_t k = 0;
gsl_spmatrix *m = gsl_spmatrix_alloc(M, N);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double x = (double) ++k;
double y;
gsl_spmatrix_set(m, i, j, x);
y = gsl_spmatrix_get(m, i, j);
if (x != y)
status = 1;
}
}
gsl_test(status, "test_getset: M="F_ZU" N="F_ZU" _get != _set", M, N);
/* test setting an element to 0 */
gsl_spmatrix_set(m, 0, 0, 1.0);
gsl_spmatrix_set(m, 0, 0, 0.0);
status = gsl_spmatrix_get(m, 0, 0) != 0.0;
gsl_test(status, "test_getset: M="F_ZU" N="F_ZU" m(0,0) = %f",
M, N, gsl_spmatrix_get(m, 0, 0));
/* test gsl_spmatrix_set_zero() */
gsl_spmatrix_set(m, 0, 0, 1.0);
gsl_spmatrix_set_zero(m);
status = gsl_spmatrix_get(m, 0, 0) != 0.0;
gsl_test(status, "test_getset: M="F_ZU" N="F_ZU" set_zero m(0,0) = %f",
M, N, gsl_spmatrix_get(m, 0, 0));
/* resassemble matrix to ensure nz is calculated correctly */
k = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double x = (double) ++k;
gsl_spmatrix_set(m, i, j, x);
}
}
status = gsl_spmatrix_nnz(m) != M * N;
gsl_test(status, "test_getset: M="F_ZU" N="F_ZU" set_zero nz = "F_ZU,
M, N, gsl_spmatrix_nnz(m));
/* test gsl_spmatrix_ptr() */
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double mij = gsl_spmatrix_get(m, i, j);
double *ptr = gsl_spmatrix_ptr(m, i, j);
*ptr += val;
if (gsl_spmatrix_get(m, i, j) != mij + val)
status = 2;
}
}
gsl_test(status == 2, "test_getset: M="F_ZU" N="F_ZU" triplet ptr", M, N);
gsl_spmatrix_free(m);
}
/* test duplicate values are handled correctly */
{
size_t min = GSL_MIN(M, N);
size_t expected_nnz = min;
size_t nnz;
size_t k = 0;
gsl_spmatrix *m = gsl_spmatrix_alloc(M, N);
status = 0;
for (i = 0; i < min; ++i)
{
for (j = 0; j < 5; ++j)
{
double x = (double) ++k;
double y;
gsl_spmatrix_set(m, i, i, x);
y = gsl_spmatrix_get(m, i, i);
if (x != y)
status = 1;
}
}
gsl_test(status, "test_getset: duplicate test M="F_ZU" N="F_ZU" _get != _set", M, N);
nnz = gsl_spmatrix_nnz(m);
status = nnz != expected_nnz;
gsl_test(status, "test_getset: duplicate test M="F_ZU" N="F_ZU" nnz="F_ZU", expected="F_ZU,
M, N, nnz, expected_nnz);
gsl_spmatrix_free(m);
}
/* test CCS version of gsl_spmatrix_get() */
{
const double val = 0.75;
gsl_spmatrix *T = create_random_sparse(M, N, density, r);
gsl_spmatrix *C = gsl_spmatrix_ccs(T);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Tij = gsl_spmatrix_get(T, i, j);
double Cij = gsl_spmatrix_get(C, i, j);
double *ptr = gsl_spmatrix_ptr(C, i, j);
if (Tij != Cij)
status = 1;
if (ptr)
{
*ptr += val;
Cij = gsl_spmatrix_get(C, i, j);
if (Tij + val != Cij)
status = 2;
}
}
}
gsl_test(status == 1, "test_getset: M="F_ZU" N="F_ZU" CCS get", M, N);
gsl_test(status == 2, "test_getset: M="F_ZU" N="F_ZU" CCS ptr", M, N);
gsl_spmatrix_free(T);
gsl_spmatrix_free(C);
}
/* test CRS version of gsl_spmatrix_get() */
{
const double val = 0.75;
gsl_spmatrix *T = create_random_sparse(M, N, density, r);
gsl_spmatrix *C = gsl_spmatrix_crs(T);
status = 0;
for (i = 0; i < M; ++i)
{
for (j = 0; j < N; ++j)
{
double Tij = gsl_spmatrix_get(T, i, j);
double Cij = gsl_spmatrix_get(C, i, j);
double *ptr = gsl_spmatrix_ptr(C, i, j);
if (Tij != Cij)
status = 1;
if (ptr)
{
*ptr += val;
Cij = gsl_spmatrix_get(C, i, j);
if (Tij + val != Cij)
status = 2;
}
}
}
gsl_test(status == 1, "test_getset: M="F_ZU" N="F_ZU" CRS get", M, N);
gsl_test(status == 2, "test_getset: M="F_ZU" N="F_ZU" CRS ptr", M, N);
gsl_spmatrix_free(T);
gsl_spmatrix_free(C);
}
} /* test_getset() */
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() */