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// SPDX-License-Identifier: EPL-2.0 OR GPL-2.0-or-later
// SPDX-FileCopyrightText: Bradley M. Bell <bradbell@seanet.com>
// SPDX-FileContributor: 2003-22 Bradley M. Bell
// ----------------------------------------------------------------------------
/*
{xrst_begin code_gen_fun_sparse_jacobian.cpp}
Evaluate Sparse Jacobian of a Code Gen Function: Example and Test
#################################################################
{xrst_literal
// BEGIN C++
// END C++
}
{xrst_end code_gen_fun_sparse_jacobian.cpp}
*/
// BEGIN C++
# include <cppad/example/code_gen_fun.hpp>
bool sparse_jacobian(void)
{ bool ok = true;
//
typedef CppAD::cg::CG<double> c_double;
typedef CppAD::AD<c_double> ac_double;
//
typedef CppAD::vector<double> d_vector;
typedef CppAD::vector<ac_double> ac_vector;
//
double eps99 = 99.0 * std::numeric_limits<double>::epsilon();
// domain space vector
size_t n = 2;
ac_vector ac_x(n);
for(size_t j = 0; j < n; ++j)
ac_x[j] = 1.0 / double(j + 1);
// declare independent variables and start tape recording
CppAD::Independent(ac_x);
// range space vector
size_t m = 3;
ac_vector ac_y(m);
for(size_t i = 0; i < m; ++i)
ac_y[i] = double(i + 1) * sin( ac_x[i % n] );
// create c_f: x -> y and stop tape recording
CppAD::ADFun<c_double> c_f(ac_x, ac_y);
// create compiled version of c_f
std::string file_name = "example_lib";
code_gen_fun::evaluation_enum eval_jac = code_gen_fun::sparse_enum;
code_gen_fun f(file_name, c_f, eval_jac);
// evaluate the compiled sparse_jacobian
d_vector x(n);
for(size_t j = 0; j < n; ++j)
x[j] = 1.0 / double(j + 2);
CppAD::sparse_rcv< CppAD::vector<size_t>, CppAD::vector<double> > Jrcv;
// This assignment uses move semantics
Jrcv = f.sparse_jacobian(x);
// check Jaociban values
ok &= Jrcv.nr() == m;
ok &= Jrcv.nc() == n;
const CppAD::vector<size_t>& row( Jrcv.row() );
const CppAD::vector<size_t>& col( Jrcv.col() );
const CppAD::vector<double>& val( Jrcv.val() );
CppAD::vector<size_t> row_major = Jrcv.row_major();
size_t k = 0;
for(size_t i = 0; i < m; ++i)
{ for(size_t j = 0; j < n; ++j)
{ if( j == i % n )
{ double check = double(i + 1) * cos( x[i % n] );
size_t ell = row_major[k];
ok &= row[ell] == i;
ok &= col[ell] == j;
ok &= CppAD::NearEqual(val[ell] , check, eps99, eps99);
++k;
}
}
}
ok &= Jrcv.nnz() == k;
//
return ok;
}
// END C++
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