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cpp/oneapi/dal/backend/primitives/lapack/test/eigen.cpp
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cpp/oneapi/dal/backend/primitives/lapack/test/syevd_dpc.cpp
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/******************************************************************************* | ||
* Copyright 2021 Intel Corporation | ||
* | ||
* Licensed under the Apache License, Version 2.0 (the "License"); | ||
* you may not use this file except in compliance with the License. | ||
* You may obtain a copy of the License at | ||
* | ||
* http://www.apache.org/licenses/LICENSE-2.0 | ||
* | ||
* Unless required by applicable law or agreed to in writing, software | ||
* distributed under the License is distributed on an "AS IS" BASIS, | ||
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
* See the License for the specific language governing permissions and | ||
* limitations under the License. | ||
*******************************************************************************/ | ||
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#include "oneapi/dal/backend/primitives/lapack/syevd.hpp" | ||
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#include "oneapi/dal/test/engine/common.hpp" | ||
#include "oneapi/dal/test/engine/math.hpp" | ||
#include "oneapi/dal/test/engine/fixtures.hpp" | ||
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namespace oneapi::dal::backend::primitives::test { | ||
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namespace te = dal::test::engine; | ||
namespace la = te::linalg; | ||
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template <typename Float> | ||
class syevd_test : public te::float_algo_fixture<Float> { | ||
public: | ||
using float_t = Float; | ||
std::int64_t generate_dim() const { | ||
return GENERATE(3, 28, 125, 256); | ||
} | ||
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la::matrix<Float> generate_symmetric_positive() { | ||
const std::int64_t dim = this->generate_dim(); | ||
return la::generate_symmetric_positive_matrix<Float>(dim, -1, 1, seed_); | ||
} | ||
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auto call_sym_eigvals_inplace(const la::matrix<Float>& symmetric_matrix) { | ||
constexpr bool is_ascending = true; | ||
return call_sym_eigvals_inplace_generic(symmetric_matrix, is_ascending); | ||
} | ||
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auto call_sym_eigvals_inplace_descending(const la::matrix<Float>& symmetric_matrix) { | ||
constexpr bool is_ascending = false; | ||
return call_sym_eigvals_inplace_generic(symmetric_matrix, is_ascending); | ||
} | ||
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auto call_sym_eigvals_inplace_generic(const la::matrix<Float>& symmetric_matrix, | ||
bool is_ascending) { | ||
ONEDAL_ASSERT(symmetric_matrix.get_row_count() == symmetric_matrix.get_column_count()); | ||
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const std::int64_t dim = symmetric_matrix.get_row_count(); | ||
const auto s_copy_flat = symmetric_matrix.copy().get_array(); | ||
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auto data_or_eigenvectors_nd = ndarray<Float, 2>::wrap_mutable(s_copy_flat, { dim, dim }); | ||
data_or_eigenvectors_nd.to_device(this->get_queue()); | ||
auto eigenvalues_nd = | ||
ndarray<Float, 1>::empty(this->get_queue(), { dim }, sycl::usm::alloc::device); | ||
if (is_ascending) { | ||
auto syevd_event = syevd<mkl::job::vec, mkl::uplo::upper>(this->get_queue(), | ||
dim, | ||
data_or_eigenvectors_nd, | ||
dim, | ||
eigenvalues_nd, | ||
{}); | ||
syevd_event.wait_and_throw(); | ||
const auto eigenvectors = | ||
la::matrix<Float>::wrap_nd(data_or_eigenvectors_nd.to_host(this->get_queue())); | ||
const auto eigenvalues = | ||
la::matrix<Float>::wrap_nd(eigenvalues_nd.to_host(this->get_queue())); | ||
return std::make_tuple(eigenvectors, eigenvalues); | ||
} | ||
else { | ||
auto syevd_event = syevd<mkl::job::vec, mkl::uplo::upper>(this->get_queue(), | ||
dim, | ||
data_or_eigenvectors_nd, | ||
dim, | ||
eigenvalues_nd, | ||
{}); | ||
syevd_event.wait_and_throw(); | ||
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auto data_ptr = eigenvalues_nd.get_data(); | ||
auto flipped_eigenvalues = | ||
ndarray<Float, 1>::empty(this->get_queue(), { dim }, sycl::usm::alloc::device); | ||
auto flipped_eigenvalues_ptr = flipped_eigenvalues.get_mutable_data(); | ||
auto queue = this->get_queue(); | ||
auto flip_event = queue.submit([&](sycl::handler& h) { | ||
const auto range = make_range_1d(dim); | ||
h.depends_on({ syevd_event }); | ||
h.parallel_for(range, [=](sycl::id<1> id) { | ||
const std::int64_t col = id[0]; | ||
flipped_eigenvalues_ptr[col] = data_ptr[(dim - 1) - col]; | ||
}); | ||
}); | ||
const auto eigenvectors = | ||
la::matrix<Float>::wrap_nd(data_or_eigenvectors_nd.to_host(this->get_queue())); | ||
const auto eigenvalues = | ||
la::matrix<Float>::wrap_nd(flipped_eigenvalues.to_host(this->get_queue())); | ||
return std::make_tuple(eigenvectors, eigenvalues); | ||
} | ||
} | ||
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void check_eigvals_definition(const la::matrix<Float>& s, | ||
const la::matrix<Float>& eigvecs, | ||
const la::matrix<Float>& eigvals) const { | ||
INFO("convert results to float64"); | ||
const auto s_f64 = la::astype<double>(s); | ||
const auto eigvals_f64 = la::astype<double>(eigvals); | ||
const auto eigvecs_f64 = la::astype<double>(eigvecs); | ||
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INFO("check eigenvectors and eigenvalues definition"); | ||
for (std::int64_t i = 0; i < eigvecs.get_row_count(); i++) { | ||
const auto v = la::transpose(eigvecs_f64.get_row(i)); | ||
const double w = eigvals_f64.get(i); | ||
CAPTURE(i, w); | ||
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// Input matrix is positive-definite, so all eigenvalues must be positive | ||
REQUIRE(w > 0); | ||
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const double tol = te::get_tolerance<float>(1e-4, 1e-10) * w; | ||
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// Check condition: $S \times v_i = w_i \dot v_i$ | ||
const double err = la::rel_error(la::dot(s_f64, v), la::multiply(w, v), tol); | ||
REQUIRE(err < tol); | ||
} | ||
} | ||
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void check_eigvals_are_ascending(const la::matrix<Float>& eigvals) const { | ||
INFO("check eigenvalues order is ascending"); | ||
la::enumerate_linear(eigvals, [&](std::int64_t i, Float x) { | ||
if (i > 0) { | ||
REQUIRE(eigvals.get(i - 1) <= x); | ||
} | ||
}); | ||
} | ||
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void check_eigvals_are_descending(const la::matrix<Float>& eigvals) const { | ||
INFO("check eigenvalues order is descending"); | ||
la::enumerate_linear(eigvals, [&](std::int64_t i, Float x) { | ||
if (i > 0) { | ||
REQUIRE(eigvals.get(i - 1) >= x); | ||
} | ||
}); | ||
} | ||
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private: | ||
static constexpr int seed_ = 7777; | ||
}; | ||
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using eigen_types = COMBINE_TYPES((float)); | ||
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TEMPLATE_LIST_TEST_M(syevd_test, "test syevd with pos def matrix", "[sym_eigvals]", eigen_types) { | ||
const auto s = this->generate_symmetric_positive(); | ||
const auto [eigenvectors, eigenvalues] = this->call_sym_eigvals_inplace(s); | ||
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this->check_eigvals_definition(s, eigenvectors, eigenvalues); | ||
this->check_eigvals_are_ascending(eigenvalues); | ||
} | ||
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TEMPLATE_LIST_TEST_M(syevd_test, "test syevd with pos def matrix 2", "[sym_eigvals]", eigen_types) { | ||
const auto s = this->generate_symmetric_positive(); | ||
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const auto [eigenvectors, eigenvalues] = this->call_sym_eigvals_inplace_descending(s); | ||
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this->check_eigvals_are_descending(eigenvalues); | ||
} | ||
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} // namespace oneapi::dal::backend::primitives::test |
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