139 lines
3.3 KiB
C++
139 lines
3.3 KiB
C++
// SPDX-License-Identifier: Apache-2.0
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//
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// Copyright 2015 Conrad Sanderson (http://conradsanderson.id.au)
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// Copyright 2015 National ICT Australia (NICTA)
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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// ------------------------------------------------------------------------
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#include <armadillo>
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#include "catch.hpp"
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#include "utils.hpp"
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using namespace arma;
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TEST_CASE("fn_trace_1", "[trace]")
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{
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mat A =
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"\
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0.061198 0.201990 0.019678 -0.493936 -0.126745 0.051408;\
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0.437242 0.058956 -0.149362 -0.045465 0.296153 0.035437;\
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-0.492474 -0.031309 0.314156 0.419733 0.068317 -0.454499;\
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0.336352 0.411541 0.458476 -0.393139 -0.135040 0.373833;\
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0.239585 -0.428913 -0.406953 -0.291020 -0.353768 0.258704;\
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";
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vec diagonal = { 0.061198, 0.058956, 0.314156, -0.393139, -0.353768 };
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REQUIRE( accu( trace(A) - accu(diagonal) ) == Approx(0.0).margin(0.001) );
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REQUIRE( accu( trace(2*A) - accu(2*diagonal) ) == Approx(0.0).margin(0.001) );
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REQUIRE( accu( trace(A+A) - accu(diagonal+diagonal) ) == Approx(0.0).margin(0.001) );
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// REQUIRE_THROWS( );
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}
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TEST_CASE("fn_trace_spmat", "[trace]")
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{
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SpMat<double> a(6, 6);
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a(0, 0) = 3.0;
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a(2, 1) = 4.4;
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a(4, 1) = 1.2;
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a(0, 2) = 3.1;
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a(1, 2) = 3.2;
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a(2, 2) = 3.3;
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a(3, 3) = 4.0;
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a(5, 3) = 6.0;
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a(5, 4) = 5.9;
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a(5, 5) = 1.2;
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REQUIRE( trace(a) == Approx(11.5) );
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REQUIRE( trace(a.submat(2, 2, 4, 4)) == Approx(7.3) );
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}
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TEST_CASE("fn_trace_spmat_mul", "[trace]")
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{
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// Test trace(SpMat * SpMat) and ensure the result is the same as if we
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// pre-multiplied the matrices.
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sp_mat a;
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a.sprandu(20, 20, 0.1);
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sp_mat b;
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b.sprandu(20, 20, 0.1);
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sp_mat c = a * b;
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const double trc = trace(c);
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const double trab = trace(a * b);
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REQUIRE( trc == Approx(trab) );
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}
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TEST_CASE("fn_trace_spmat_t_mul", "[trace]")
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{
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// Test trace(SpMat.t() * SpMat) and ensure the result is the same as if we
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// pre-multiplied the matrices.
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sp_mat a;
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a.sprandu(20, 20, 0.1);
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sp_mat b;
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b.sprandu(20, 20, 0.1);
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sp_mat c = a.t() * b;
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const double trc = trace(c);
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const double trab = trace(a.t() * b);
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REQUIRE( trc == Approx(trab) );
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}
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TEMPLATE_TEST_CASE("fn_trace_fp", "[trace]", TEST_FLOAT_TYPES)
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{
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typedef TestType eT;
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Mat<eT> X(20, 20, fill::randu);
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const eT tr = trace(X);
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const eT tr_ref = accu(X.diag());
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constexpr const eT tol = is_blas_real<eT>::value ? eT(0.001) : eT(0.02);
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REQUIRE( tr == Approx(tr_ref).epsilon(tol) );
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}
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TEMPLATE_TEST_CASE("fn_trace_sparse_fp", "[trace]", TEST_FLOAT_TYPES)
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{
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typedef TestType eT;
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SpMat<eT> X;
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X.sprandu(50, 50, 0.3);
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const eT tr = trace(X);
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const eT tr_ref = accu(X.diag());
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constexpr const eT tol = is_blas_real<eT>::value ? eT(0.001) : eT(0.02);
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REQUIRE( tr == Approx(tr_ref).epsilon(tol) );
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}
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