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Removed unused experiment with armadillo replacing Eigen.
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Atgeirr Flø Rasmussen
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/*
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Copyright 2013 SINTEF ICT, Applied Mathematics.
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This file is part of the Open Porous Media project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef OPM_AUTODIFFBLOCKARMA_HEADER_INCLUDED
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#define OPM_AUTODIFFBLOCKARMA_HEADER_INCLUDED
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// #include "AutoDiff.hpp"
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// #include <Eigen/Eigen>
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// #include <Eigen/Sparse>
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#include <armadillo>
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#include <vector>
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#include <cassert>
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namespace AutoDiff
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{
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template <typename Scalar>
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class ForwardBlock
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{
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public:
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/// Underlying types for scalar vectors and jacobians.
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typedef arma::Col<Scalar> V;
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typedef arma::SpMat<Scalar> M;
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/// Named constructor pattern used here.
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static ForwardBlock constant(const V& val, const std::vector<int>& blocksizes)
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{
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std::vector<M> jac;
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const int num_elem = val.size();
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const int num_blocks = blocksizes.size();
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// For constants, all jacobian blocks are zero.
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jac.resize(num_blocks);
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for (int i = 0; i < num_blocks; ++i) {
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jac[i] = M(num_elem, blocksizes[i]);
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}
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return ForwardBlock(val, jac);
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}
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static ForwardBlock variable(const int index, const V& val, const std::vector<int>& blocksizes)
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{
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std::vector<M> jac;
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const int num_elem = val.size();
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const int num_blocks = blocksizes.size();
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// First, set all jacobian blocks to zero...
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jac.resize(num_blocks);
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for (int i = 0; i < num_blocks; ++i) {
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jac[i] = M(num_elem, blocksizes[i]);
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}
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// ... then set the one corrresponding to this variable to identity.
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assert(blocksizes[index] == num_elem);
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jac[index].eye(num_elem, num_elem);
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return ForwardBlock(val, jac);
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}
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static ForwardBlock function(const V& val, const std::vector<M>& jac)
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{
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return ForwardBlock(val, jac);
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}
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/// Operator +
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ForwardBlock operator+(const ForwardBlock& rhs)
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{
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std::vector<M> jac = jac_;
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assert(numBlocks() == rhs.numBlocks());
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int num_blocks = numBlocks();
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for (int block = 0; block < num_blocks; ++block) {
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assert(jac[block].n_rows == rhs.jac_[block].n_rows);
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assert(jac[block].n_cols == rhs.jac_[block].n_cols);
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jac[block] += rhs.jac_[block];
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}
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return function(val_ + rhs.val_, jac);
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}
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/// Operator -
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ForwardBlock operator-(const ForwardBlock& rhs)
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{
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std::vector<M> jac = jac_;
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assert(numBlocks() == rhs.numBlocks());
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int num_blocks = numBlocks();
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for (int block = 0; block < num_blocks; ++block) {
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assert(jac[block].n_rows == rhs.jac_[block].n_rows);
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assert(jac[block].n_cols == rhs.jac_[block].n_cols);
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jac[block] -= rhs.jac_[block];
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}
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return function(val_ - rhs.val_, jac);
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}
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/// Operator *
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ForwardBlock operator*(const ForwardBlock& rhs)
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{
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int num_blocks = numBlocks();
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std::vector<M> jac(num_blocks);
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assert(numBlocks() == rhs.numBlocks());
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typedef Eigen::DiagonalMatrix<Scalar, Eigen::Dynamic> D;
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D D1 = val_.matrix().asDiagonal();
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D D2 = rhs.val_.matrix().asDiagonal();
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for (int block = 0; block < num_blocks; ++block) {
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assert(jac_[block].n_rows == rhs.jac_[block].n_rows);
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assert(jac_[block].n_cols == rhs.jac_[block].n_cols);
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jac[block] = D2*jac_[block] + D1*rhs.jac_[block];
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}
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return function(val_ * rhs.val_, jac);
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}
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/// Operator /
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ForwardBlock operator/(const ForwardBlock& rhs)
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{
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int num_blocks = numBlocks();
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std::vector<M> jac(num_blocks);
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assert(numBlocks() == rhs.numBlocks());
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typedef Eigen::DiagonalMatrix<Scalar, Eigen::Dynamic> D;
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D D1 = val_.matrix().asDiagonal();
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D D2 = rhs.val_.matrix().asDiagonal();
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D D3 = std::pow(rhs.val_, -2).matrix().asDiagonal();
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for (int block = 0; block < num_blocks; ++block) {
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assert(jac_[block].n_rows == rhs.jac_[block].n_rows);
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assert(jac_[block].n_cols == rhs.jac_[block].n_cols);
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jac[block] = D3 * (D2*jac_[block] - D1*rhs.jac_[block]);
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}
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return function(val_ / rhs.val_, jac);
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}
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/// I/O.
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template <class Ostream>
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Ostream&
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print(Ostream& os) const
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{
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int num_blocks = jac_.size();
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os << "Value =\n" << val_ << "\n\nJacobian =\n";
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for (int i = 0; i < num_blocks; ++i) {
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os << "Sub Jacobian #" << i << '\n' << jac_[i] << "\n";
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}
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return os;
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}
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/// Number of variables or Jacobian blocks.
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int numBlocks() const
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{
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return jac_.size();
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}
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/// Function value
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const V& value() const
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{
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return val_;
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}
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/// Function derivatives
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const std::vector<M>& derivative() const
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{
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return jac_;
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}
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private:
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ForwardBlock(const V& val,
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const std::vector<M>& jac)
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: val_(val), jac_(jac)
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{
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#ifndef NDEBUG
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const int num_elem = val_.size();
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const int num_blocks = jac_.size();
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for (int block = 0; block < num_blocks; ++block) {
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assert(num_elem == jac_[block].n_rows);
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}
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#endif
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}
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V val_;
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std::vector<M> jac_;
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};
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template <class Ostream, typename Scalar>
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Ostream&
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operator<<(Ostream& os, const ForwardBlock<Scalar>& fw)
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{
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return fw.print(os);
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}
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/// Multiply with sparse matrix from the left.
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template <typename Scalar>
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ForwardBlock<Scalar> operator*(const typename ForwardBlock<Scalar>::M& lhs,
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const ForwardBlock<Scalar>& rhs)
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{
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int num_blocks = rhs.numBlocks();
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std::vector<typename ForwardBlock<Scalar>::M> jac(num_blocks);
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assert(lhs.n_cols == rhs.value().n_rows);
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for (int block = 0; block < num_blocks; ++block) {
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jac[block] = lhs*rhs.derivative()[block];
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}
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typename ForwardBlock<Scalar>::V val = lhs*rhs.value().matrix();
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return ForwardBlock<Scalar>::function(val, jac);
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}
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} // namespace Autodiff
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#endif // OPM_AUTODIFFBLOCKARMA_HEADER_INCLUDED
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