inline size_t _2dArray<T>::extent(size_t dimension) const
{
#ifdef FIBER_CHECK_ARRAY_BOUNDS
check_dimension(dimension);
#endif
return m_extents[dimension];
}
Datum
svec_div(PG_FUNCTION_ARGS)
{
SvecType *svec1 = PG_GETARG_SVECTYPE_P(0);
SvecType *svec2 = PG_GETARG_SVECTYPE_P(1);
check_dimension(svec1,svec2,"svec_div");
SvecType *result = op_svec_by_svec_internal(3,svec1,svec2);
PG_RETURN_SVECTYPE_P(result);
}
Datum
svec_pow(PG_FUNCTION_ARGS)
{
SvecType *svec1 = PG_GETARG_SVECTYPE_P(0);
SvecType *svec2 = PG_GETARG_SVECTYPE_P(1);
check_dimension(svec1,svec2,"svec_pow");
SvecType *result = pow_svec_by_scalar_internal(svec1,svec2);
PG_RETURN_SVECTYPE_P(result);
}
Datum
svec_dot(PG_FUNCTION_ARGS)
{
SvecType *svec1 = PG_GETARG_SVECTYPE_P(0);
SvecType *svec2 = PG_GETARG_SVECTYPE_P(1);
SparseData left = sdata_from_svec(svec1);
SparseData right = sdata_from_svec(svec2);
SparseData mult_result;
double accum;
check_dimension(svec1,svec2,"svec_dot");
mult_result = op_sdata_by_sdata(2,left,right);
accum = sum_sdata_values_double(mult_result);
freeSparseDataAndData(mult_result);
PG_RETURN_FLOAT8(accum);
}
void
surface_dimension(void)
{
/* 2D */
check_dimension("POLYHEDRALSURFACE(((0 0,0 1,1 1,0 0)))", 2);
check_dimension("TIN(((0 0,0 1,1 1,0 0)))", 2);
/* 3D single face */
check_dimension("POLYHEDRALSURFACE(((0 0 0,0 0 1,0 1 0,0 0 0)))", 2);
check_dimension("TIN(((0 0 0,0 0 1,0 1 0,0 0 0)))", 2);
/* Tetrahedron */
check_dimension("POLYHEDRALSURFACE(((0 0 0,0 0 1,0 1 0,0 0 0)),((0 0 0,0 1 0,1 0 0,0 0 0)),((0 0 0,1 0 0,0 0 1,0 0 0)),((1 0 0,0 1 0,0 0 1,1 0 0)))", 3);
check_dimension("TIN(((0 0 0,0 0 1,0 1 0,0 0 0)),((0 0 0,0 1 0,1 0 0,0 0 0)),((0 0 0,1 0 0,0 0 1,0 0 0)),((1 0 0,0 1 0,0 0 1,1 0 0)))", 3);
}
inline size_t _1dSliceOfConst4dArray<T>::extent(size_t dimension) const {
check_dimension(dimension);
return m_array.extent(dimension);
}
void test_kronecker_product()
{
// DM = dense matrix; SM = sparse matrix
Matrix<double, 2, 3> DM_a;
MatrixXd DM_b(3,2);
SparseMatrix<double> SM_a(2,3);
SparseMatrix<double> SM_b(3,2);
SM_a.insert(0,0) = DM_a(0,0) = -0.4461540300782201;
SM_a.insert(0,1) = DM_a(0,1) = -0.8057364375283049;
SM_a.insert(0,2) = DM_a(0,2) = 0.3896572459516341;
SM_a.insert(1,0) = DM_a(1,0) = -0.9076572187376921;
SM_a.insert(1,1) = DM_a(1,1) = 0.6469156566545853;
SM_a.insert(1,2) = DM_a(1,2) = -0.3658010398782789;
SM_b.insert(0,0) = DM_b(0,0) = 0.9004440976767099;
SM_b.insert(0,1) = DM_b(0,1) = -0.2368830858139832;
SM_b.insert(1,0) = DM_b(1,0) = -0.9311078389941825;
SM_b.insert(1,1) = DM_b(1,1) = 0.5310335762980047;
SM_b.insert(2,0) = DM_b(2,0) = -0.1225112806872035;
SM_b.insert(2,1) = DM_b(2,1) = 0.5903998022741264;
SparseMatrix<double,RowMajor> SM_row_a(SM_a), SM_row_b(SM_b);
// test kroneckerProduct(DM_block,DM,DM_fixedSize)
Matrix<double, 6, 6> DM_fix_ab;
DM_fix_ab(0,0)=37.0;
kroneckerProduct(DM_a.block(0,0,2,3),DM_b,DM_fix_ab);
CALL_SUBTEST(check_kronecker_product(DM_fix_ab));
// test kroneckerProduct(DM,DM,DM_block)
MatrixXd DM_block_ab(10,15);
DM_block_ab(0,0)=37.0;
kroneckerProduct(DM_a,DM_b,DM_block_ab.block(2,5,6,6));
CALL_SUBTEST(check_kronecker_product(DM_block_ab.block(2,5,6,6)));
// test kroneckerProduct(DM,DM,DM)
MatrixXd DM_ab(1,5);
DM_ab(0,0)=37.0;
kroneckerProduct(DM_a,DM_b,DM_ab);
CALL_SUBTEST(check_kronecker_product(DM_ab));
// test kroneckerProduct(SM,DM,SM)
SparseMatrix<double> SM_ab(1,20);
SM_ab.insert(0,0)=37.0;
kroneckerProduct(SM_a,DM_b,SM_ab);
CALL_SUBTEST(check_kronecker_product(SM_ab));
SparseMatrix<double,RowMajor> SM_ab2(10,3);
SM_ab2.insert(0,0)=37.0;
kroneckerProduct(SM_a,DM_b,SM_ab2);
CALL_SUBTEST(check_kronecker_product(SM_ab2));
// test kroneckerProduct(DM,SM,SM)
SM_ab.insert(0,0)=37.0;
kroneckerProduct(DM_a,SM_b,SM_ab);
CALL_SUBTEST(check_kronecker_product(SM_ab));
SM_ab2.insert(0,0)=37.0;
kroneckerProduct(DM_a,SM_b,SM_ab2);
CALL_SUBTEST(check_kronecker_product(SM_ab2));
// test kroneckerProduct(SM,SM,SM)
SM_ab.resize(2,33);
SM_ab.insert(0,0)=37.0;
kroneckerProduct(SM_a,SM_b,SM_ab);
CALL_SUBTEST(check_kronecker_product(SM_ab));
SM_ab2.resize(5,11);
SM_ab2.insert(0,0)=37.0;
kroneckerProduct(SM_a,SM_b,SM_ab2);
CALL_SUBTEST(check_kronecker_product(SM_ab2));
// test kroneckerProduct(SM,SM,SM) with sparse pattern
SM_a.resize(4,5);
SM_b.resize(3,2);
SM_a.resizeNonZeros(0);
SM_b.resizeNonZeros(0);
SM_a.insert(1,0) = -0.1;
SM_a.insert(0,3) = -0.2;
SM_a.insert(2,4) = 0.3;
SM_a.finalize();
SM_b.insert(0,0) = 0.4;
SM_b.insert(2,1) = -0.5;
SM_b.finalize();
SM_ab.resize(1,1);
SM_ab.insert(0,0)=37.0;
kroneckerProduct(SM_a,SM_b,SM_ab);
CALL_SUBTEST(check_sparse_kronecker_product(SM_ab));
// test dimension of result of kroneckerProduct(DM,DM,DM)
MatrixXd DM_a2(2,1);
MatrixXd DM_b2(5,4);
MatrixXd DM_ab2;
kroneckerProduct(DM_a2,DM_b2,DM_ab2);
CALL_SUBTEST(check_dimension(DM_ab2,2*5,1*4));
DM_a2.resize(10,9);
DM_b2.resize(4,8);
kroneckerProduct(DM_a2,DM_b2,DM_ab2);
CALL_SUBTEST(check_dimension(DM_ab2,10*4,9*8));
}
void test_kronecker_product()
{
// DM = dense matrix; SM = sparse matrix
Matrix<double, 2, 3> DM_a;
SparseMatrix<double> SM_a(2,3);
SM_a.insert(0,0) = DM_a.coeffRef(0,0) = -0.4461540300782201;
SM_a.insert(0,1) = DM_a.coeffRef(0,1) = -0.8057364375283049;
SM_a.insert(0,2) = DM_a.coeffRef(0,2) = 0.3896572459516341;
SM_a.insert(1,0) = DM_a.coeffRef(1,0) = -0.9076572187376921;
SM_a.insert(1,1) = DM_a.coeffRef(1,1) = 0.6469156566545853;
SM_a.insert(1,2) = DM_a.coeffRef(1,2) = -0.3658010398782789;
MatrixXd DM_b(3,2);
SparseMatrix<double> SM_b(3,2);
SM_b.insert(0,0) = DM_b.coeffRef(0,0) = 0.9004440976767099;
SM_b.insert(0,1) = DM_b.coeffRef(0,1) = -0.2368830858139832;
SM_b.insert(1,0) = DM_b.coeffRef(1,0) = -0.9311078389941825;
SM_b.insert(1,1) = DM_b.coeffRef(1,1) = 0.5310335762980047;
SM_b.insert(2,0) = DM_b.coeffRef(2,0) = -0.1225112806872035;
SM_b.insert(2,1) = DM_b.coeffRef(2,1) = 0.5903998022741264;
SparseMatrix<double,RowMajor> SM_row_a(SM_a), SM_row_b(SM_b);
// test DM_fixedSize = kroneckerProduct(DM_block,DM)
Matrix<double, 6, 6> DM_fix_ab = kroneckerProduct(DM_a.topLeftCorner<2,3>(),DM_b);
CALL_SUBTEST(check_kronecker_product(DM_fix_ab));
CALL_SUBTEST(check_kronecker_product(kroneckerProduct(DM_a.topLeftCorner<2,3>(),DM_b)));
for(int i=0;i<DM_fix_ab.rows();++i)
for(int j=0;j<DM_fix_ab.cols();++j)
VERIFY_IS_APPROX(kroneckerProduct(DM_a,DM_b).coeff(i,j), DM_fix_ab(i,j));
// test DM_block = kroneckerProduct(DM,DM)
MatrixXd DM_block_ab(10,15);
DM_block_ab.block<6,6>(2,5) = kroneckerProduct(DM_a,DM_b);
CALL_SUBTEST(check_kronecker_product(DM_block_ab.block<6,6>(2,5)));
// test DM = kroneckerProduct(DM,DM)
MatrixXd DM_ab = kroneckerProduct(DM_a,DM_b);
CALL_SUBTEST(check_kronecker_product(DM_ab));
CALL_SUBTEST(check_kronecker_product(kroneckerProduct(DM_a,DM_b)));
// test SM = kroneckerProduct(SM,DM)
SparseMatrix<double> SM_ab = kroneckerProduct(SM_a,DM_b);
CALL_SUBTEST(check_kronecker_product(SM_ab));
SparseMatrix<double,RowMajor> SM_ab2 = kroneckerProduct(SM_a,DM_b);
CALL_SUBTEST(check_kronecker_product(SM_ab2));
CALL_SUBTEST(check_kronecker_product(kroneckerProduct(SM_a,DM_b)));
// test SM = kroneckerProduct(DM,SM)
SM_ab.setZero();
SM_ab.insert(0,0)=37.0;
SM_ab = kroneckerProduct(DM_a,SM_b);
CALL_SUBTEST(check_kronecker_product(SM_ab));
SM_ab2.setZero();
SM_ab2.insert(0,0)=37.0;
SM_ab2 = kroneckerProduct(DM_a,SM_b);
CALL_SUBTEST(check_kronecker_product(SM_ab2));
CALL_SUBTEST(check_kronecker_product(kroneckerProduct(DM_a,SM_b)));
// test SM = kroneckerProduct(SM,SM)
SM_ab.resize(2,33);
SM_ab.insert(0,0)=37.0;
SM_ab = kroneckerProduct(SM_a,SM_b);
CALL_SUBTEST(check_kronecker_product(SM_ab));
SM_ab2.resize(5,11);
SM_ab2.insert(0,0)=37.0;
SM_ab2 = kroneckerProduct(SM_a,SM_b);
CALL_SUBTEST(check_kronecker_product(SM_ab2));
CALL_SUBTEST(check_kronecker_product(kroneckerProduct(SM_a,SM_b)));
// test SM = kroneckerProduct(SM,SM) with sparse pattern
SM_a.resize(4,5);
SM_b.resize(3,2);
SM_a.resizeNonZeros(0);
SM_b.resizeNonZeros(0);
SM_a.insert(1,0) = -0.1;
SM_a.insert(0,3) = -0.2;
SM_a.insert(2,4) = 0.3;
SM_a.finalize();
SM_b.insert(0,0) = 0.4;
SM_b.insert(2,1) = -0.5;
SM_b.finalize();
SM_ab.resize(1,1);
SM_ab.insert(0,0)=37.0;
SM_ab = kroneckerProduct(SM_a,SM_b);
CALL_SUBTEST(check_sparse_kronecker_product(SM_ab));
// test dimension of result of DM = kroneckerProduct(DM,DM)
MatrixXd DM_a2(2,1);
MatrixXd DM_b2(5,4);
MatrixXd DM_ab2 = kroneckerProduct(DM_a2,DM_b2);
CALL_SUBTEST(check_dimension(DM_ab2,2*5,1*4));
DM_a2.resize(10,9);
DM_b2.resize(4,8);
DM_ab2 = kroneckerProduct(DM_a2,DM_b2);
CALL_SUBTEST(check_dimension(DM_ab2,10*4,9*8));
for(int i = 0; i < g_repeat; i++)
{
double density = Eigen::internal::random<double>(0.01,0.5);
int ra = Eigen::internal::random<int>(1,50);
int ca = Eigen::internal::random<int>(1,50);
int rb = Eigen::internal::random<int>(1,50);
int cb = Eigen::internal::random<int>(1,50);
SparseMatrix<float,ColMajor> sA(ra,ca), sB(rb,cb), sC;
SparseMatrix<float,RowMajor> sC2;
MatrixXf dA(ra,ca), dB(rb,cb), dC;
initSparse(density, dA, sA);
initSparse(density, dB, sB);
sC = kroneckerProduct(sA,sB);
dC = kroneckerProduct(dA,dB);
VERIFY_IS_APPROX(MatrixXf(sC),dC);
sC = kroneckerProduct(sA.transpose(),sB);
dC = kroneckerProduct(dA.transpose(),dB);
VERIFY_IS_APPROX(MatrixXf(sC),dC);
sC = kroneckerProduct(sA.transpose(),sB.transpose());
dC = kroneckerProduct(dA.transpose(),dB.transpose());
VERIFY_IS_APPROX(MatrixXf(sC),dC);
sC = kroneckerProduct(sA,sB.transpose());
dC = kroneckerProduct(dA,dB.transpose());
VERIFY_IS_APPROX(MatrixXf(sC),dC);
sC2 = kroneckerProduct(sA,sB);
dC = kroneckerProduct(dA,dB);
VERIFY_IS_APPROX(MatrixXf(sC2),dC);
}
}
Datum
svec_count(PG_FUNCTION_ARGS)
{
SvecType *svec1 = PG_GETARG_SVECTYPE_P(0);
SvecType *svec2 = PG_GETARG_SVECTYPE_P(1);
SparseData left = sdata_from_svec(svec1);
SparseData right = sdata_from_svec(svec2);
double *right_vals=(double *)(right->vals->data);
SvecType *result;
double *clamped_vals;
SparseData right_clamped,sdata_result;
int scalar_args=check_scalar(IS_SCALAR(svec1),IS_SCALAR(svec2));
check_dimension(svec1,svec2,"svec_count");
/* Clamp the right vector values to 1.
*/
switch (scalar_args)
{
case 1: //left arg is scalar
/*
* If the left argument is a scalar, this is almost certainly the
* first call to the routine, and we need a zero vector for the
* beginning of the accumulation of the correct dimension.
*/
left = makeSparseDataFromDouble(0.,right->total_value_count);
case 0: //neither arg is scalar
case 2: //right arg is scalar
/* Create an array of values either 1 or 0 depending on whether
* the right vector has a non-zero value in it
*/
clamped_vals =
(double *)palloc0(sizeof(double)*(right->unique_value_count));
for (int i=0;i<(right->unique_value_count);i++)
{
if (right_vals[i]!=0.) clamped_vals[i]=1.;
}
right_clamped = makeInplaceSparseData((char *)clamped_vals,right->index->data,
right->vals->len,right->index->len,FLOAT8OID,
right->unique_value_count,right->total_value_count);
/* Create the output SVEC */
sdata_result = op_sdata_by_sdata(1,left,right_clamped);
result = svec_from_sparsedata(sdata_result,true);
pfree(clamped_vals);
pfree(right_clamped);
PG_RETURN_SVECTYPE_P(result);
break;
case 3: //both args are scalar
default:
ereport(ERROR,
(errcode(ERRCODE_INVALID_PARAMETER_VALUE),
errmsg("Svec count is undefined when both arguments are scalar")));
PG_RETURN_SVECTYPE_P(svec1);
break;
}
}
