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#ifdef BTAS_HAS_BLAS_LAPACK
#include <btas/btas.h>
#include <btas/generic/converge_class.h>
#include "../unittest/test.h"
#include <fstream>
#include <iomanip>
#include <iostream>
#include <libgen.h>
#define BTAS_ENABLE_TUCKER_CP_UT 1
#define BTAS_ENABLE_RANDOM_CP_UT 0
const std::string __dirname = dirname(strdup(__FILE__));
TEST_CASE("CP")
{
typedef btas::Tensor<double> tensor;
using conv_class = btas::FitCheck<tensor>;
using conv_class_coupled = btas::CoupledFitCheck<tensor>;
using btas::CP_ALS;
using btas::CP_RALS;
using btas::CP_DF_ALS;
using btas::COUPLED_CP_ALS;
//double epsilon = fmax(1e-10, std::numeric_limits<double>::epsilon());
double epsilon = 1e-5;
// TEST_CASE("CP_ALS"){
tensor D3(5, 2, 9);
std::ifstream in3(__dirname + "/mat3D.txt");
CHECK(in3.is_open());
for (auto &i : D3) {
in3 >> i;
}
in3.close();
tensor D4(6, 3, 3, 7);
std::ifstream in4;
in4.open(__dirname + "/mat4D.txt");
CHECK(in4.is_open());
for (auto &i : D4) {
in4 >> i;
}
in4.close();
tensor D5(2, 6, 1, 9, 3);
std::ifstream in5;
in5.open(__dirname + "/mat5D.txt");
CHECK(in5.is_open());
for (auto &i : D5) {
in5 >> i;
}
in5.close();
tensor results(43, 1);
std::ifstream res(__dirname + "/cp_test_results.txt");
CHECK(res.is_open());
for (auto &i : results) {
res >> i;
}
tensor D33(D3.extent(1), D3.extent(2), D3.extent(1), D3.extent(2));
tensor D44(D4.extent(1), D4.extent(2), D4.extent(3), D4.extent(1), D4.extent(2), D4.extent(3));
tensor D55(D5.extent(1), D5.extent(2), D5.extent(3), D5.extent(4), D5.extent(1), D5.extent(2), D5.extent(3), D5.extent(4));
contract(1.0, D3, {1,2,3}, D3, {1,4,5}, 0.0, D33, {2,3,4,5});
contract(1.0, D4, {1,2,3,4}, D4, {1,5,6,7}, 0.0, D44, {2,3,4,5,6,7});
contract(1.0, D5, {1,2,3,4,5}, D5, {1,6,7,8,9}, 0.0, D55, {2,3,4,5,6,7,8,9});
double norm3 = sqrt(dot(D3, D3));
double norm4 = sqrt(dot(D4, D4));
double norm5 = sqrt(dot(D5, D5));
double norm32 = sqrt(dot(D33, D33));
double norm42 = sqrt(dot(D44, D44));
double norm52 = sqrt(dot(D55, D55));
conv_class conv(1e-7);
// ALS tests
{
SECTION("ALS MODE = 3, Finite rank"){
CP_ALS<tensor, conv_class> A1(D3);
conv.set_norm(norm3);
double diff = A1.compute_rank(10, conv, 1, false, 0, 100, false, false, true);
CHECK(std::abs(diff) <= epsilon);
}
SECTION("ALS MODE = 3, Finite error"){
CP_ALS<tensor, conv_class> A1(D3);
conv.set_norm(norm3);
double diff = A1.compute_error(conv, 1e-7, 1, 99);
CHECK(std::abs(diff) <= epsilon);
}
#if BTAS_ENABLE_TUCKER_CP_UT
SECTION("ALS MODE = 3, Tucker + CP"){
auto d = D3;
btas::TUCKER_CP_ALS<tensor, conv_class> A1(d, 1e-3);
conv.set_norm(norm3);
double diff = A1.compute_rank(10, conv, 1, false,
0, 100, false, false, true);
CHECK(std::abs(diff) <= epsilon);
}
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
SECTION("ALS MODE = 3, Random + CP"){
auto d = D3;
CP_ALS<tensor, conv_class> A1(d);
conv.set_norm(norm3);
double diff = 1.0 - A1.compress_compute_rand(2, conv, 0, 2, 5, true, false, 100, true);
CHECK(std::abs(diff - results(3,0)) <= epsilon);
}
#endif
SECTION("ALS MODE = 4, Finite rank"){
CP_ALS<tensor, conv_class> A1(D4);
conv.set_norm(norm4);
double diff = A1.compute_rank(55, conv, 1, true, 55);
CHECK(std::abs(diff) <= epsilon);
}
SECTION("ALS MODE = 4, Finite error"){
CP_ALS<tensor, conv_class> A1(D4);
conv.set_norm(norm4);
double diff = A1.compute_error(conv, 1e-2, 1, 57, true, 55);
CHECK(std::abs(diff) <= epsilon);
}
#if BTAS_ENABLE_TUCKER_CP_UT
SECTION("ALS MODE = 4, Tucker + CP"){
auto d = D4;
btas::TUCKER_CP_ALS<tensor, conv_class> A1(d, 1e-3);
conv.set_norm(norm4);
double diff = A1.compute_rank(55, conv, 1, true, 55);
CHECK(std::abs(diff) <= /* NB error too large with netlib blas on linux */ 3 * epsilon);
}
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
SECTION("ALS MODE = 4, Random + CP"){
auto d = D4;
CP_ALS<tensor, conv_class> A1(d);
conv.set_norm(norm4);
double diff = 1.0 - A1.compress_compute_rand(3, conv, 0, 2, 1, true, false, 20, true);
CHECK(std::abs(diff - results(7,0)) <= epsilon);
}
#endif
SECTION("ALS MODE = 5, Finite rank"){
CP_ALS<tensor, conv_class> A1(D5);
conv.set_norm(norm5);
double diff = A1.compute_rank(57, conv, 1, true, 57);
CHECK(std::abs(diff) <= epsilon);
}
SECTION("ALS MODE = 5, Finite error"){
CP_ALS<tensor, conv_class> A1(D5);
conv.set_norm(norm5);
double diff = A1.compute_error(conv, 1e-2, 1, 60, true, 57);
CHECK(std::abs(diff) <= epsilon);
}
#if BTAS_ENABLE_TUCKER_CP_UT
SECTION("ALS MODE = 5, Tucker + CP"){
auto d = D5;
btas::TUCKER_CP_ALS<tensor, conv_class> A1(d, 1e-3);
conv.set_norm(norm5);
double diff = A1.compute_rank(67, conv, 1, true, 67);
CHECK(std::abs(diff) <= epsilon);
}
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
SECTION("ALS MODE = 5, Random + CP"){
auto d = D5;
CP_ALS<tensor, conv_class> A1(d);
conv.set_norm(norm5);
double diff = 1.0 - A1. compress_compute_rand(1, conv, 0, 2, 5, true, false, 100, false);
CHECK(std::abs(diff - results(11,0)) <= epsilon);
}
#endif
}
// RALS tests
{
SECTION("RALS MODE = 3, Finite rank") {
CP_RALS<tensor, conv_class> A1(D3);
conv.set_norm(norm3);
double diff = A1.compute_rank(10, conv, 1, false, 0, 100, false, false, true);
CHECK(std::abs(diff) <= epsilon);
}
SECTION("RALS MODE = 3, Finite error") {
CP_RALS<tensor, conv_class> A1(D3);
conv.set_norm(norm3);
double diff = A1.compute_error(conv, 1e-7, 1, 99);
CHECK(std::abs(diff) <= epsilon);
}
#if BTAS_ENABLE_TUCKER_CP_UT
SECTION("RALS MODE = 3, Tucker + CP") {
auto d = D3;
btas::TUCKER_CP_RALS<tensor, conv_class> A1(d, 1e-3);
conv.set_norm(norm3);
double diff = A1.compute_rank(10, conv, 1, false, 0, 100, false, false, true);
CHECK(std::abs(diff) <= epsilon);
}
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
SECTION("RALS MODE = 3, Random + CP") {
auto d = D3;
CP_RALS<tensor, conv_class> A1(d);
conv.set_norm(norm3);
double diff = 1.0 - A1.compress_compute_rand(2, conv, 0, 2, 5, true, false, 100, true);
CHECK(std::abs(diff - results(15, 0)) <= epsilon);
}
#endif
SECTION("RALS MODE = 4, Finite rank") {
CP_RALS<tensor, conv_class> A1(D4);
conv.set_norm(norm4);
double diff = A1.compute_rank(55, conv, 1, true, 55);
CHECK(std::abs(diff) <= epsilon);
}
SECTION("RALS MODE = 4, Finite error") {
CP_RALS<tensor, conv_class> A1(D4);
conv.set_norm(norm4);
double diff = A1.compute_error(conv, 1e-2, 1, 57, true, 55);
CHECK(std::abs(diff) <= epsilon);
}
#if BTAS_ENABLE_TUCKER_CP_UT
SECTION("RALS MODE = 4, Tucker + CP") {
auto d = D4;
btas::TUCKER_CP_RALS<tensor, conv_class> A1(d, 1e-3);
conv.set_norm(norm4);
double diff = A1.compute_rank(55, conv, 1, true, 55);
CHECK(std::abs(diff) <= /* NB error too large with netlib blas on linux */ 3 * epsilon);
}
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
SECTION("RALS MODE = 4, Random + CP") {
auto d = D4;
CP_RALS<tensor, conv_class> A1(d);
conv.set_norm(norm4);
double diff = 1.0 - A1.compress_compute_rand(3, conv, 0, 2, 1, true, false, 20, true);
CHECK(std::abs(diff - results(19, 0)) <= epsilon);
}
#endif
SECTION("RALS MODE = 5, Finite rank"){
CP_RALS<tensor, conv_class> A1(D5);
conv.set_norm(norm5);
double diff = A1.compute_rank(57, conv, 1, true, 57);
CHECK(std::abs(diff) <= epsilon);
}
SECTION("RALS MODE = 5, Finite error"){
CP_RALS<tensor, conv_class> A1(D5);
conv.set_norm(norm5);
double diff = A1.compute_error(conv, 1e-2, 1, 60, true, 57);
CHECK(std::abs(diff) <= epsilon);
}
#if BTAS_ENABLE_TUCKER_CP_UT
SECTION("RALS MODE = 5, Tucker + CP"){
auto d = D5;
btas::TUCKER_CP_RALS<tensor, conv_class > A1(d, 1e-1);
conv.set_norm(norm5);
double diff = A1.compute_rank(67, conv, 1, true, 67);
CHECK(std::abs(diff) <= epsilon);
}
#endif
#if BTAS_ENABLE_RANDOM_CP_UT
SECTION("RALS MODE = 5, Random + CP"){
auto d = D5;
CP_RALS<tensor, conv_class> A1(d);
conv.set_norm(norm5);
double diff = 1.0 - A1.compress_compute_rand(1, conv, 0, 2, 5, true, false, 100, true);
CHECK(std::abs(diff - results(23,0)) <= epsilon);
}
#endif
}
// CP-DF-ALS tests
// TODO I Think there is something wrong with CP-DF ALS solver with rank higher than 4.
{
SECTION("DF-ALS MODE = 3, Finite rank") {
CP_DF_ALS<tensor, conv_class> A1(D3, D3);
conv.set_norm(norm32);
double diff = A1.compute_rank(40, conv, 1, true, 40);
CHECK(std::abs(diff) <= epsilon);
}
SECTION("DF-ALS MODE = 3, Finite error") {
CP_DF_ALS<tensor, conv_class> A1(D3, D3);
conv.set_norm(norm32);
double diff = A1.compute_error(conv, 1e-8, 1, 43, true, 39);
CHECK(std::abs(diff) <= epsilon);
}
SECTION("DF-ALS MODE = 3, component decomposition") {
CP_DF_ALS<tensor, conv_class> A1(D3, D3);
conv.set_norm(norm32);
double diff = A1.compute_comp_init(10, conv, 1000, true, false, true, 1e-2, 50);
CHECK(std::abs(diff) <= epsilon);
}
/*SECTION("DF-ALS MODE = 4, Finite rank") {
CP_DF_ALS<tensor, conv_class> A1(D4, D4);
conv.set_norm(norm42);
double diff = A1.compute_rank(500, conv, 1, true, 500);
CHECK(std::abs(diff - 0.26010657273) <= epsilon);
}
SECTION("DF-ALS MODE = 4, Finite error") {
CP_DF_ALS<tensor, conv_class> A1(D4, D4);
conv.set_norm(norm42);
double diff = A1.compute_error(conv, 1e-2, 1, 1000, true, 999);
CHECK(std::abs(diff - 0.26010657273) <= epsilon);
}
SECTION("DF-ALS MODE = 4, component decompsoition") {
CP_DF_ALS<tensor, conv_class> A1(D4, D4);
conv.set_norm(norm42);
double diff = A1.compute_comp_init(5, conv, 20);
CHECK(std::abs(diff - results(29, 0)) <= epsilon);
}*/
/*SECTION("DF-ALS MODE = 5, Finite rank") {
CP_DF_ALS<tensor, conv_class> A1(D5, D5);
conv.set_norm(norm52);
double diff = A1.compute_rank(900, conv, 1, true, 900);
//CHECK(std::abs(diff - results(30, 0)) <= epsilon);
}
SECTION("DF-ALS MODE = 5, Finite error") {
CP_DF_ALS<tensor, conv_class> A1(D5, D5);
conv.set_norm(norm52);
double diff = 1.0 - A1.compute_error(conv, 1e-2, 1, 1, false, 0, 100, false, true);
CHECK(std::abs(diff - results(31, 0)) <= epsilon);
}
SECTION("DF-ALS MODE = 5, Component decomposition") {
CP_DF_ALS<tensor, conv_class> A1(D5, D5);
conv.set_norm(norm52);
double diff = 1.0 - A1.compute_comp_init(5, conv, 20);
CHECK(std::abs(diff - results(32, 0)) <= epsilon);
}*/
}
// coupled ALS test
{
SECTION("COUPLED-ALS MODE = 3, Finite rank") {
conv_class_coupled conv_coupled(3, 1e-3);
COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D3, D3);
conv_coupled.set_norm(norm3, norm3);
double diff = A1.compute_rank(10, conv_coupled);
CHECK(std::abs(diff) <= epsilon);
}
SECTION("COUPLED-ALS MODE = 3, Finite error") {
conv_class_coupled conv_coupled(3, 1e-3);
COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D3, D3);
conv_coupled.set_norm(norm3, norm3);
double diff = A1.compute_error(conv_coupled, 1e-7, 1, 10);
CHECK(std::abs(diff) <= epsilon);
}
// TODO These are harder problems and thus take too much effort for
// unit tests. They decompose 2 order 4 and 2 order 5 tensors simultaneously
// finding 7 and 9 unique factor matrices for each problem.
/* SECTION("COUPLED-ALS MODE = 4, Finite rank") {
conv_class_coupled conv_coupled(4, 1e-5);
conv_coupled.verbose(true);
COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D4, D4);
conv_coupled.set_norm(norm4, norm4);
double diff = A1.compute_rank(320, conv_coupled, 1, true, 300);
// CHECK(std::abs(diff) <= epsilon);
}
SECTION("COUPLED-ALS MODE = 4, Finite error") {
conv_class_coupled conv_coupled(4, 1e-3);
COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D4, D4);
conv_coupled.set_norm(norm4, norm4);
double diff = 1.0 - A1.compute_error(conv_coupled, 1e-2, 1, 19);
CHECK(std::abs(diff - results(36, 0)) <= epsilon);
}*/
/*
//TODO: Find more efficient ways to evaluate next two tests
SECTION("COUPLED-ALS MODE = 5, Finite rank"){
conv_class_coupled conv_coupled(5, 1e-3);
COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D5, D5);
conv_coupled.set_norm(norm5, norm5);
double diff = 1.0 - A1.compute_rank(5,conv_coupled);
CHECK(std::abs(diff - results(37,0)) <= epsilon);
}
SECTION("COUPLED-ALS MODE = 5, Finite error"){
conv_class_coupled conv_coupled(5, 1e-3);
COUPLED_CP_ALS<tensor, conv_class_coupled> A1(D5, D5);
conv_coupled.set_norm(norm5, norm5);
double diff = 1.0 - A1.compute_error(conv_coupled, 1e-2, 1, 19);
CHECK(std::abs(diff - results(38,0)) <= epsilon);
}
*/
}
}
#endif
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