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armadillo-code/tests2/fn_diff.cpp
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2025-07-07 04:00:20 +00:00

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// SPDX-License-Identifier: Apache-2.0
//
// 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"
#include "utils.hpp"
using namespace arma;
TEMPLATE_TEST_CASE("fn_diff_1", "[diff]", TEST_FLOAT_TYPES)
{
typedef TestType eT;
Col<eT> a = square( linspace<Col<eT>>(1,5,6) );
Row<eT> b = square( linspace<Row<eT>>(1,5,5) );
Col<eT> a_diff_1 = { eT(2.2400), eT(3.5200), eT(4.8000), eT(6.0800), eT(7.3600) };
Col<eT> a_diff_2 = { eT(1.2800), eT(1.2800), eT(1.2800), eT(1.2800) };
Col<eT> a_diff_9;
Row<eT> b_diff_1 = { eT(3), eT(5), eT(7), eT(9) };
Row<eT> b_diff_2 = { eT(2), eT(2), eT(2) };
Row<eT> b_diff_9;
// significantly larger margin for low-precision because the errors can really add up!
constexpr eT margin = is_blas_real<eT>::value ? eT(0.001) : eT(1.0);
REQUIRE( eT(accu(abs(diff(a,0) - a ))) == Approx(eT(0)).margin(margin) );
REQUIRE( eT(accu(abs(diff(a ) - a_diff_1))) == Approx(eT(0)).margin(margin) );
REQUIRE( eT(accu(abs(diff(a,1) - a_diff_1))) == Approx(eT(0)).margin(margin) );
REQUIRE( eT(accu(abs(diff(a,2) - a_diff_2))) == Approx(eT(0)).margin(margin) );
REQUIRE( eT(accu(abs(diff(a,9) - a_diff_9))) == Approx(eT(0)).margin(margin) );
REQUIRE( eT(accu(abs(diff(b,0) - b ))) == Approx(eT(0)).margin(margin) );
REQUIRE( eT(accu(abs(diff(b ) - b_diff_1))) == Approx(eT(0)).margin(margin) );
REQUIRE( eT(accu(abs(diff(b,1) - b_diff_1))) == Approx(eT(0)).margin(margin) );
REQUIRE( eT(accu(abs(diff(b,2) - b_diff_2))) == Approx(eT(0)).margin(margin) );
REQUIRE( eT(accu(abs(diff(b,9) - b_diff_9))) == Approx(eT(0)).margin(margin) );
}
TEST_CASE("fn_diff_2", "[diff]")
{
mat A =
"\
0.061198 0.201990 0.019678 -0.493936 -0.126745;\
0.437242 0.058956 -0.149362 -0.045465 0.296153;\
-0.492474 -0.031309 0.314156 0.419733 0.068317;\
0.336352 0.411541 0.458476 -0.393139 -0.135040;\
0.239585 -0.428913 -0.406953 -0.291020 -0.353768;\
";
mat A_diff1_0 =
"\
0.376044 -0.143034 -0.169040 0.448471 0.422898;\
-0.929716 -0.090265 0.463518 0.465198 -0.227836;\
0.828826 0.442850 0.144320 -0.812872 -0.203357;\
-0.096767 -0.840454 -0.865429 0.102119 -0.218728;\
";
mat A_diff2_0 =
"\
-1.305760 0.052769 0.632558 0.016727 -0.650734;\
1.758542 0.533115 -0.319198 -1.278070 0.024479;\
-0.925593 -1.283304 -1.009749 0.914991 -0.015371;\
";
mat A_diff3_0 =
"\
3.064302 0.480346 -0.951756 -1.294797 0.675213;\
-2.684135 -1.816419 -0.690551 2.193061 -0.039850;\
";
mat A_diff1_1 =
"\
0.140792 -0.182312 -0.513614 0.367191;\
-0.378286 -0.208318 0.103897 0.341618;\
0.461165 0.345465 0.105577 -0.351416;\
0.075189 0.046935 -0.851615 0.258099;\
-0.668498 0.021960 0.115933 -0.062748;\
";
mat A_diff2_1 =
"\
-0.323104 -0.331302 0.880805;\
0.169968 0.312215 0.237721;\
-0.115700 -0.239888 -0.456993;\
-0.028254 -0.898550 1.109714;\
0.690458 0.093973 -0.178681;\
";
mat A_diff3_1 =
"\
-0.0081980 1.2121070;\
0.1422470 -0.0744940;\
-0.1241880 -0.2171050;\
-0.8702960 2.0082640;\
-0.5964850 -0.2726540;\
";
REQUIRE( accu(abs(diff(A,0) - A )) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A ) - A_diff1_0)) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,1) - A_diff1_0)) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,2) - A_diff2_0)) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,3) - A_diff3_0)) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,0,0) - A )) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,1,0) - A_diff1_0)) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,2,0) - A_diff2_0)) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,3,0) - A_diff3_0)) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,0,1) - A )) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,1,1) - A_diff1_1)) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,2,1) - A_diff2_1)) == Approx(0.0).margin(0.001) );
REQUIRE( accu(abs(diff(A,3,1) - A_diff3_1)) == Approx(0.0).margin(0.001) );
}