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armadillo-code/tests2/fn_det.cpp
T
2020-10-20 18:58:25 +10:00

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// Copyright 2015 Conrad Sanderson (http://conradsanderson.id.au)
// Copyright 2015 National ICT Australia (NICTA)
//
// 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.
// ------------------------------------------------------------------------
#include <armadillo>
#include "catch.hpp"
using namespace arma;
TEST_CASE("fn_det_1")
{
mat A =
"\
0.061198 0.201990 0.019678 -0.493936 -0.126745 0.051408;\
0.437242 0.058956 -0.149362 -0.045465 0.296153 0.035437;\
-0.492474 -0.031309 0.314156 0.419733 0.068317 -0.454499;\
0.336352 0.411541 0.458476 -0.393139 -0.135040 0.373833;\
0.239585 -0.428913 -0.406953 -0.291020 -0.353768 0.258704;\
";
REQUIRE( det(A(0,0,size(0,0))) == Approx(+1.0 ) );
REQUIRE( det(A(0,0,size(1,1))) == Approx(+0.0611980000000000) );
REQUIRE( det(A(0,0,size(2,2))) == Approx(-0.0847105222920000) );
REQUIRE( det(A(0,0,size(3,3))) == Approx(-0.0117387923199772) );
REQUIRE( det(A(0,0,size(4,4))) == Approx(+0.0126070917169865) );
REQUIRE( det(A(0,0,size(5,5))) == Approx(+0.0100409091117668) );
REQUIRE_THROWS( det(A) );
}
TEST_CASE("fn_det_2")
{
mat A = toeplitz(linspace(1,5,6));
REQUIRE( det(A) == Approx(-31.45728) );
mat B(6, 6, fill::zeros); B.diag() = linspace(1,5,6);
REQUIRE( det(B) == Approx(334.152) );
REQUIRE( det(diagmat(B)) == Approx(334.152) );
mat C(5,6, fill::randu);
REQUIRE_THROWS( det(C) );
REQUIRE_THROWS( det(diagmat(C)) );
}
TEST_CASE("fn_det_3")
{
mat A = toeplitz(linspace(1,5,6));
double val;
double sign;
log_det(val, sign, A);
REQUIRE( val == Approx(3.44863) );
REQUIRE( sign == Approx(-1.0) );
REQUIRE( (std::exp(val)*sign) == Approx( det(A) ) );
mat B(5,6, fill::randu);
REQUIRE_THROWS( log_det(val, sign, B) );
}