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#include "test.h"
#include <ctime>
#include <iostream>
#include "btas/tensor.h"
#include "btas/tensor_func.h"
#include "btas/generic/gesvd_impl.h"
#include "btas/generic/contract.h"
#include <boost/random/mersenne_twister.hpp>
#include <boost/random/uniform_real_distribution.hpp>
#include "btas/generic/default_random_seed.h"
using std::cout;
using std::endl;
using namespace btas;
template <typename T>
std::ostream&
operator<<(std::ostream& s, const Tensor<T>& X)
{
for(auto i : X.range()) s << i << " " << X(i) << "\n";
return s;
}
template <typename T>
T
randomReal()
{
static boost::random::mt19937 rng(btas::random_seed_accessor());
static auto dist = boost::random::uniform_real_distribution<T>{0., 1.};
return dist(rng);
}
template <typename T>
std::complex<T>
randomCplx()
{
return std::complex<T>(randomReal<T>(),randomReal<T>());
}
const auto eps_double = 1.e4 * std::numeric_limits<double>::epsilon();
const auto eps_float = 1.e4 * std::numeric_limits<float>::epsilon();
TEST_CASE("Tensor SVD") {
SECTION("Double-precision SVD") {
auto do_test = [](auto v) {
using ztype = decltype(v);
using zT = Tensor<ztype>;
using dT = Tensor<double>;
const size_t M = 5, N = 6;
const auto R = std::min(M, N);
zT A(M, N);
A.generate([]() {
if constexpr (std::is_same_v<ztype,double>)
return randomReal<double>();
else
return randomCplx<double>();
});
zT U(M, M);
zT Vt(N, N);
dT Sigma(R);
auto Acopy = A;
gesvd(lapack::Job::AllVec, lapack::Job::AllVec, A, Sigma, U, Vt);
ztype one(1.0);
ztype zero(0.0);
zT A_(M, N);
zT S(M, N);
S.fill(zero);
for (auto i = 0; i < R; i++) {
S(i, i) = Sigma(i);
}
zT temp1(M, N);
contract(one, U, {'i', 'j'}, S, {'j', 'k'}, zero, temp1, {'i', 'k'});
contract(one, temp1, {'i', 'j'}, Vt, {'j', 'k'}, zero, A_, {'i', 'k'});
double res = 0;
for (auto i = 0; i < A.extent(0); i++) {
for (auto j = 0; j < A.extent(1); j++) {
res += pow(abs(Acopy(i, j) - A_(i, j)), 2);
}
}
CHECK(res < eps_double);
};
do_test(double{});
do_test(std::complex<double>{});
}
SECTION("Double precision 3D SVD"){
auto do_test = [](auto v) {
using ztype = decltype(v);
using zT = Tensor<ztype>;
using dT = Tensor<double>;
const size_t M = 2, N = 3, O = 5;
zT A(M, N, O);
A.generate([]() {
if constexpr (std::is_same_v<ztype,double>)
return randomReal<double>();
else
return randomCplx<double>();
});
zT U(M, N, M*N);
zT Vt(O, O);
dT Sigma(O);
auto Acopy = A;
gesvd(lapack::Job::AllVec, lapack::Job::AllVec, A, Sigma, U, Vt);
zT A_(M, N, O);
zT S(M*N, O);
S.fill(0.0);
for (auto i = 0; i < O; i++) {
S(i, i) = Sigma(i);
}
ztype one(1.0);
ztype zero(0.0);
zT temp1(M, N, O);
contract(one, U, {'i', 'j', 'k'}, S, {'k', 'l'}, zero, temp1, {'i', 'j', 'l'});
contract(one, temp1, {'i', 'j', 'l'}, Vt, {'l', 'm'},zero, A_, {'i', 'j', 'm'});
double res = 0;
for (auto i = 0; i < A.extent(0); i++) {
for (auto j = 0; j < A.extent(1); j++) {
for (auto k = 0; k < A.extent(2); k++) {
res += abs(Acopy(i, j, k) - A_(i, j, k));
}
}
}
CHECK(res<eps_double);
};
do_test(double{});
do_test(std::complex<double>{});
}
}
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