151 lines
4.9 KiB
C++
151 lines
4.9 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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using namespace arma;
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TEST_CASE("decomp_eig_gen_1")
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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;\
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0.437242 0.058956 -0.149362 -0.045465 0.296153;\
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-0.492474 -0.031309 0.314156 0.419733 0.068317;\
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0.336352 0.411541 0.458476 -0.393139 -0.135040;\
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0.239585 -0.428913 -0.406953 -0.291020 -0.353768;\
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";
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cx_vec eigvals1 =
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{
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cx_double(-0.431507827005653, +0.336567219978257),
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cx_double(-0.431507827005653, -0.336567219978257),
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cx_double( 0.509611570246060, +0.000000000000000),
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cx_double( 0.020403541882623, +0.255686097698784),
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cx_double( 0.020403541882623, -0.255686097698784)
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};
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cx_vec eigvals2 = eig_gen(A);
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cx_vec eigvals3;
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bool status = eig_gen(eigvals3, A);
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cx_vec eigvals4;
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cx_mat eigvecs4;
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eig_gen(eigvals4, eigvecs4, A);
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cx_vec eigvals5;
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cx_mat leigvecs5;
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cx_mat reigvecs5;
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eig_gen(eigvals5, leigvecs5, reigvecs5, A);
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cx_mat B = eigvecs4 * diagmat(eigvals4) * inv( eigvecs4);
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cx_mat Cl = inv(trans(leigvecs5)) * diagmat(eigvals5) * trans(leigvecs5);
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cx_mat Cr = reigvecs5 * diagmat(eigvals5) * inv(reigvecs5);
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REQUIRE( status == true );
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REQUIRE( accu(abs(eigvals2 - eigvals1)) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(eigvals3 - eigvals1)) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(eigvals4 - eigvals1)) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(eigvals5 - eigvals1)) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(A - B )) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(A - Cl )) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(A - Cr )) == Approx(0.0).margin(0.0001) );
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}
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TEST_CASE("decomp_eig_gen_2")
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{
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cx_mat A =
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{
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{ cx_double( 0.111205, +0.074101), cx_double(-0.225872, -0.068474), cx_double(-0.192660, +0.236887), cx_double( 0.355204, -0.355735) },
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{ cx_double( 0.119869, +0.217667), cx_double(-0.412722, +0.366157), cx_double( 0.069916, -0.222238), cx_double( 0.234987, -0.072355) },
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{ cx_double( 0.003791, +0.183253), cx_double(-0.212887, -0.172758), cx_double( 0.168689, -0.393418), cx_double( 0.008795, -0.289654) },
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{ cx_double(-0.331639, -0.166660), cx_double( 0.436969, -0.313498), cx_double(-0.431574, +0.017421), cx_double(-0.104165, +0.145246) }
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};
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cx_vec eigvals1 =
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{
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cx_double(-0.47418, +0.60377),
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cx_double( 0.15084, -0.44209),
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cx_double(-0.15790, -0.35629),
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cx_double( 0.24426, +0.38670)
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};
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cx_vec eigvals2 = eig_gen(A);
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cx_vec eigvals3;
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bool status = eig_gen(eigvals3, A);
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cx_vec eigvals4;
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cx_mat eigvecs4;
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eig_gen(eigvals4, eigvecs4, A);
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cx_vec eigvals5;
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cx_mat leigvecs5;
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cx_mat reigvecs5;
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eig_gen(eigvals5, leigvecs5, reigvecs5, A);
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cx_mat B = eigvecs4 * diagmat(eigvals4) * inv( eigvecs4);
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cx_mat Cl = inv(trans(leigvecs5)) * diagmat(eigvals5) * trans(leigvecs5);
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cx_mat Cr = reigvecs5 * diagmat(eigvals5) * inv(reigvecs5);
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REQUIRE( status == true );
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REQUIRE( accu(abs(eigvals2 - eigvals1)) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(eigvals3 - eigvals1)) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(eigvals4 - eigvals1)) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(eigvals5 - eigvals1)) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(A - B )) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(A - Cl )) == Approx(0.0).margin(0.0001) );
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REQUIRE( accu(abs(A - Cr )) == Approx(0.0).margin(0.0001) );
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}
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TEST_CASE("decomp_eig_gen_3")
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{
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mat A(5,5,fill::randu);
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cx_vec eigvals(10, fill::randu);
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cx_mat eigvecs(10, 10, fill::randu);
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A(0,0) = datum::inf;
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bool status = eig_gen(eigvals, eigvecs, A);
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REQUIRE( status == false );
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REQUIRE( eigvals.n_elem == uword(0) );
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REQUIRE( eigvecs.n_elem == uword(0) );
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}
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TEST_CASE("decomp_eig_gen_4")
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{
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mat A(5,6,fill::randu);
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cx_vec eigvals;
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cx_mat eigvecs;
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REQUIRE_THROWS( eig_gen(eigvals, eigvecs, A) );
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}
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