mirror of
https://github.com/OPM/opm-simulators.git
synced 2024-11-28 03:53:49 -06:00
242 lines
6.6 KiB
C++
242 lines
6.6 KiB
C++
/*
|
|
Copyright 2013 SINTEF ICT, Applied Mathematics.
|
|
|
|
This file is part of the Open Porous Media project (OPM).
|
|
|
|
OPM is free software: you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation, either version 3 of the License, or
|
|
(at your option) any later version.
|
|
|
|
OPM is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with OPM. If not, see <http://www.gnu.org/licenses/>.
|
|
*/
|
|
|
|
#include <config.h>
|
|
|
|
#if HAVE_DYNAMIC_BOOST_TEST
|
|
#define BOOST_TEST_DYN_LINK
|
|
#endif
|
|
|
|
#define BOOST_TEST_MODULE AutoDiffBlockTest
|
|
|
|
#include <opm/autodiff/AutoDiffBlock.hpp>
|
|
|
|
#include <boost/test/unit_test.hpp>
|
|
|
|
#include <Eigen/Eigen>
|
|
#include <Eigen/Sparse>
|
|
|
|
namespace {
|
|
template <typename Scalar>
|
|
bool
|
|
operator ==(const Eigen::SparseMatrix<Scalar>& A,
|
|
const Eigen::SparseMatrix<Scalar>& B)
|
|
{
|
|
// Two SparseMatrices are equal if
|
|
// 0) They have the same ordering (enforced by equal types)
|
|
// 1) They have the same outer and inner dimensions
|
|
// 2) They have the same number of non-zero elements
|
|
// 3) They have the same sparsity structure
|
|
// 4) The non-zero elements are equal
|
|
|
|
// 1) Outer and inner dimensions
|
|
bool eq = (A.outerSize() == B.outerSize());
|
|
eq = eq && (A.innerSize() == B.innerSize());
|
|
|
|
// 2) Equal number of non-zero elements
|
|
eq = eq && (A.nonZeros() == B.nonZeros());
|
|
|
|
for (typename Eigen::SparseMatrix<Scalar>::Index
|
|
k0 = 0, kend = A.outerSize(); eq && (k0 < kend); ++k0) {
|
|
for (typename Eigen::SparseMatrix<Scalar>::InnerIterator
|
|
iA(A, k0), iB(B, k0); eq && (iA && iB); ++iA, ++iB) {
|
|
// 3) Sparsity structure
|
|
eq = (iA.row() == iB.row()) && (iA.col() == iB.col());
|
|
|
|
// 4) Equal non-zero elements
|
|
eq = eq && (iA.value() == iB.value());
|
|
}
|
|
}
|
|
|
|
return eq;
|
|
|
|
// Note: Investigate implementing this operator as
|
|
// return A.cwiseNotEqual(B).count() == 0;
|
|
}
|
|
}
|
|
|
|
BOOST_AUTO_TEST_CASE(ConstantInitialisation)
|
|
{
|
|
typedef AutoDiff::ForwardBlock<double> ADB;
|
|
|
|
std::vector<int> blocksizes = { 3, 1, 2 };
|
|
|
|
ADB::V v(3);
|
|
v << 0.2, 1.2, 13.4;
|
|
|
|
ADB a = ADB::constant(v, blocksizes);
|
|
BOOST_REQUIRE(a.value().matrix() == v.matrix());
|
|
|
|
const std::vector<ADB::M>& J = a.derivative();
|
|
for (std::vector<ADB::M>::const_iterator
|
|
b = J.begin(), e = J.end(); b != e; ++b) {
|
|
BOOST_REQUIRE(b->nonZeros() == 0);
|
|
}
|
|
}
|
|
|
|
BOOST_AUTO_TEST_CASE(VariableInitialisation)
|
|
{
|
|
typedef AutoDiff::ForwardBlock<double> ADB;
|
|
|
|
std::vector<int> blocksizes = { 3, 1, 2 };
|
|
|
|
ADB::V v(3);
|
|
v << 1.0, 2.2, 3.4;
|
|
|
|
enum { FirstVar = 0, SecondVar = 1, ThirdVar = 2 };
|
|
|
|
ADB x = ADB::variable(FirstVar, v, blocksizes);
|
|
|
|
BOOST_REQUIRE(x.value().matrix() == v.matrix());
|
|
|
|
const std::vector<ADB::M>& J = x.derivative();
|
|
BOOST_REQUIRE(J[0].nonZeros() == v.size());
|
|
|
|
const Eigen::Diagonal<const ADB::M, 0>& d = J[0].diagonal();
|
|
BOOST_REQUIRE((d.array() == 1.0).all());
|
|
|
|
for (std::vector<ADB::M>::const_iterator
|
|
b = J.begin() + 1, e = J.end(); b != e; ++b) {
|
|
BOOST_REQUIRE(b->nonZeros() == 0);
|
|
}
|
|
}
|
|
|
|
BOOST_AUTO_TEST_CASE(FunctionInitialisation)
|
|
{
|
|
typedef AutoDiff::ForwardBlock<double> ADB;
|
|
|
|
std::vector<int> blocksizes = { 3, 1, 2 };
|
|
std::vector<int>::size_type num_blocks = blocksizes.size();
|
|
|
|
enum { FirstVar = 0, SecondVar = 1, ThirdVar = 2 };
|
|
|
|
ADB::V v(3);
|
|
v << 1.0, 2.2, 3.4;
|
|
|
|
std::vector<ADB::M> jacs(num_blocks);
|
|
for (std::vector<int>::size_type j = 0; j < num_blocks; ++j) {
|
|
jacs[j] = ADB::M(blocksizes[FirstVar], blocksizes[j]);
|
|
jacs[j].insert(0,0) = -1.0;
|
|
}
|
|
|
|
ADB f = ADB::function(v, jacs);
|
|
|
|
BOOST_REQUIRE(f.value().matrix() == v.matrix());
|
|
|
|
const std::vector<ADB::M>& J = f.derivative();
|
|
for (std::vector<ADB::M>::const_iterator
|
|
bf = J.begin(), ef = J.end(), bj = jacs.begin();
|
|
bf != ef; ++bf, ++bj) {
|
|
|
|
BOOST_CHECK(*bf == *bj);
|
|
}
|
|
}
|
|
|
|
BOOST_AUTO_TEST_CASE(Addition)
|
|
{
|
|
typedef AutoDiff::ForwardBlock<double> ADB;
|
|
std::vector<int> blocksizes = { 3, 1, 2 };
|
|
|
|
ADB::V va(3);
|
|
va << 0.2, 1.2, 13.4;
|
|
|
|
ADB::V vx(3);
|
|
vx << 1.0, 2.2, 3.4;
|
|
|
|
enum { FirstVar = 0, SecondVar = 1, ThirdVar = 2 };
|
|
|
|
ADB a = ADB::constant(va, blocksizes);
|
|
ADB x = ADB::variable(FirstVar, vx, blocksizes);
|
|
|
|
ADB xpx = x + x;
|
|
|
|
BOOST_CHECK_EQUAL(xpx.value().cwiseNotEqual(2 * x.value()).count(), 0);
|
|
|
|
const std::vector<ADB::M>& J1x = x .derivative();
|
|
const std::vector<ADB::M>& J2x = xpx.derivative();
|
|
BOOST_CHECK_EQUAL(J1x.size(), J2x.size());
|
|
for (std::vector<ADB::M>::const_iterator
|
|
j1b = J1x.begin(), j1e = J1x.end(), j2b = J2x.begin();
|
|
j1b != j1e; ++j1b, ++j2b) {
|
|
BOOST_CHECK(*j2b == ADB::M((*j1b) * 2));
|
|
}
|
|
|
|
ADB::V r = 2*x.value() + a.value();
|
|
ADB xpxpa = x + x + a;
|
|
BOOST_CHECK_EQUAL(xpxpa.value().cwiseNotEqual(r).count(), 0);
|
|
|
|
const std::vector<ADB::M>& J3 = xpxpa.derivative();
|
|
for (std::vector<ADB::M>::const_iterator
|
|
j1b = J1x.begin(), j1e = J1x.end(), j3b = J3.begin();
|
|
j1b != j1e; ++j1b, ++j3b) {
|
|
BOOST_CHECK(*j3b == ADB::M((*j1b) * 2));
|
|
}
|
|
}
|
|
|
|
#if 0
|
|
#include <iostream>
|
|
|
|
int main()
|
|
try
|
|
{
|
|
typedef AutoDiff::ForwardBlock<double> ADB;
|
|
std::vector<int> blocksizes = { 3, 1, 2 };
|
|
int num_blocks = blocksizes.size();
|
|
ADB::V v1(3);
|
|
v1 << 0.2, 1.2, 13.4;
|
|
ADB::V v2(3);
|
|
v2 << 1.0, 2.2, 3.4;
|
|
enum { FirstVar = 0, SecondVar = 1, ThirdVar = 2 };
|
|
ADB a = ADB::constant(v1, blocksizes);
|
|
ADB x = ADB::variable(FirstVar, v2, blocksizes);
|
|
std::vector<ADB::M> jacs(num_blocks);
|
|
for (int i = 0; i < num_blocks; ++i) {
|
|
jacs[i] = ADB::M(blocksizes[FirstVar], blocksizes[i]);
|
|
jacs[i].insert(0,0) = -1.0;
|
|
}
|
|
ADB f = ADB::function(v2, jacs);
|
|
|
|
ADB xpx = x + x;
|
|
std::cout << xpx;
|
|
ADB xpxpa = x + x + a;
|
|
std::cout << xpxpa;
|
|
|
|
|
|
std::cout << xpxpa - xpx;
|
|
|
|
ADB sqx = x * x;
|
|
|
|
std::cout << sqx;
|
|
|
|
ADB sqxdx = sqx / x;
|
|
|
|
std::cout << sqxdx;
|
|
|
|
ADB::M m(2,3);
|
|
m.insert(0,0) = 4;
|
|
m.insert(0,1) = 3;
|
|
m.insert(1,1) = 1;
|
|
std::cout << m*sqx;
|
|
}
|
|
catch (const std::exception &e) {
|
|
std::cerr << "Program threw an exception: " << e.what() << "\n";
|
|
throw;
|
|
}
|
|
#endif
|