void ADFun<Base>::ForSparseJacCase(
const std::set<size_t>& set_type ,
bool transpose ,
size_t q ,
const VectorSet& r ,
VectorSet& s )
{ size_t m = Range();
// check VectorSet is Simple Vector class with sets for elements
CheckSimpleVector<std::set<size_t>, VectorSet>(
one_element_std_set<size_t>(), two_element_std_set<size_t>()
);
// dimension size of result vector
if( transpose )
s.resize(q);
else s.resize( m );
// store results in r and for_jac_sparse_pack_
CppAD::ForSparseJacSet(
transpose ,
q ,
r ,
s ,
num_var_tape_ ,
dep_taddr_ ,
ind_taddr_ ,
play_ ,
for_jac_sparse_set_
);
}
void ADFun<Base>::RevSparseHesCase(
const std::set<size_t>& set_type ,
bool transpose ,
size_t q ,
const VectorSet& s ,
VectorSet& h )
{ size_t n = Domain();
if( transpose )
h.resize(n);
else h.resize(q);
CPPAD_ASSERT_KNOWN(
for_jac_sparse_set_.n_set() > 0,
"RevSparseHes: previous stored call to ForSparseJac did not "
"use std::set<size_t> for the elements of r."
);
CPPAD_ASSERT_UNKNOWN( for_jac_sparse_pack_.n_set() == 0 );
CPPAD_ASSERT_UNKNOWN( for_jac_sparse_set_.n_set() == num_var_tape_ );
// use sparse_pack for the calculation
CppAD::RevSparseHesSet(
transpose ,
q ,
s ,
h ,
num_var_tape_ ,
dep_taddr_ ,
ind_taddr_ ,
play_ ,
for_jac_sparse_set_
);
}
void ADFun<Base>::RevSparseJacCase(
const std::set<size_t>& set_type ,
bool transpose ,
bool dependency ,
size_t q ,
const VectorSet& r ,
VectorSet& s )
{ // dimension of the result vector
if( transpose )
s.resize( Domain() );
else s.resize( q );
// store results in r
RevSparseJacSet(
transpose ,
dependency ,
q ,
r ,
s ,
num_var_tape_ ,
dep_taddr_ ,
ind_taddr_ ,
play_
);
}
void ADFun<Base>::ForSparseJacCase(
bool set_type ,
bool transpose ,
size_t q ,
const VectorSet& r ,
VectorSet& s )
{ size_t m = Range();
// check VectorSet is Simple Vector class with bool elements
CheckSimpleVector<bool, VectorSet>();
// dimension size of result vector
s.resize( m * q );
// store results in s and for_jac_sparse_pack_
ForSparseJacBool(
transpose ,
q ,
r ,
s ,
num_var_tape_ ,
dep_taddr_ ,
ind_taddr_ ,
play_ ,
for_jac_sparse_pack_
);
}
void ADFun<Base>::RevSparseJacCase(
bool set_type ,
bool transpose ,
bool dependency ,
size_t q ,
const VectorSet& r ,
VectorSet& s )
{ size_t n = Domain();
// dimension of the result vector
s.resize( q * n );
// store results in s
RevSparseJacBool(
transpose ,
dependency ,
q ,
r ,
s ,
num_var_tape_ ,
dep_taddr_ ,
ind_taddr_ ,
play_
);
}
void ADFun<Base>::RevSparseHesCase(
bool set_type ,
bool transpose ,
size_t q ,
const VectorSet& s ,
VectorSet& h )
{ size_t n = Domain();
h.resize(q * n );
CPPAD_ASSERT_KNOWN(
for_jac_sparse_pack_.n_set() > 0,
"RevSparseHes: previous stored call to ForSparseJac did not "
"use bool for the elements of r."
);
CPPAD_ASSERT_UNKNOWN( for_jac_sparse_set_.n_set() == 0 );
CPPAD_ASSERT_UNKNOWN( for_jac_sparse_pack_.n_set() == total_num_var_ );
// use sparse_pack for the calculation
CppAD::RevSparseHesBool(
transpose ,
q ,
s ,
h ,
total_num_var_ ,
dep_taddr_ ,
ind_taddr_ ,
play_ ,
for_jac_sparse_pack_
);
}
void ADFun<Base>::RevSparseJacCase(
const std::set<size_t>& set_type ,
size_t p ,
const VectorSet& s ,
VectorSet& r )
{ // dimension of the result vector
r.resize( p );
// store results in r
RevSparseJacSet(
p ,
s ,
r ,
total_num_var_ ,
dep_taddr_ ,
ind_taddr_ ,
play_
);
}
void ADFun<Base>::RevSparseJacCase(
bool set_type ,
size_t p ,
const VectorSet& s ,
VectorSet& r )
{ size_t n = Domain();
// dimension of the result vector
r.resize( p * n );
// store results in r
RevSparseJacBool(
p ,
s ,
r ,
total_num_var_ ,
dep_taddr_ ,
ind_taddr_ ,
play_
);
}
void ADFun<Base>::ForSparseHesCase(
const std::set<size_t>& set_type ,
const VectorSet& r ,
const VectorSet& s ,
VectorSet& h )
{ size_t n = Domain();
# ifndef NDEBUG
size_t m = Range();
# endif
std::set<size_t>::const_iterator itr_1;
//
// check VectorSet is Simple Vector class with sets for elements
CheckSimpleVector<std::set<size_t>, VectorSet>(
local::one_element_std_set<size_t>(), local::two_element_std_set<size_t>()
);
CPPAD_ASSERT_KNOWN(
r.size() == 1,
"ForSparseHes: size of s is not equal to one."
);
CPPAD_ASSERT_KNOWN(
s.size() == 1,
"ForSparseHes: size of s is not equal to one."
);
//
// sparsity pattern corresponding to r
local::sparse_list for_jac_pattern;
for_jac_pattern.resize(num_var_tape_, n + 1);
itr_1 = r[0].begin();
while( itr_1 != r[0].end() )
{ size_t i = *itr_1++;
CPPAD_ASSERT_UNKNOWN( ind_taddr_[i] < n + 1 );
// ind_taddr_[i] is operator taddr for i-th independent variable
CPPAD_ASSERT_UNKNOWN( play_.GetOp( ind_taddr_[i] ) == local::InvOp );
//
for_jac_pattern.add_element( ind_taddr_[i], ind_taddr_[i] );
}
// compute forward Jacobiain sparsity pattern
bool dependency = false;
local::ForJacSweep(
dependency,
n,
num_var_tape_,
&play_,
for_jac_pattern
);
// sparsity pattern correspnding to s
local::sparse_list rev_jac_pattern;
rev_jac_pattern.resize(num_var_tape_, 1);
itr_1 = s[0].begin();
while( itr_1 != s[0].end() )
{ size_t i = *itr_1++;
CPPAD_ASSERT_KNOWN(
i < m,
"ForSparseHes: an element of the set s[0] has value "
"greater than or equal m"
);
CPPAD_ASSERT_UNKNOWN( dep_taddr_[i] < num_var_tape_ );
rev_jac_pattern.add_element( dep_taddr_[i], 0);
}
//
// compute reverse sparsity pattern for dependency analysis
// (note that we are only want non-zero derivatives not true dependency)
local::RevJacSweep(
dependency,
n,
num_var_tape_,
&play_,
rev_jac_pattern
);
//
// vector of sets that will hold reverse Hessain values
local::sparse_list for_hes_pattern;
for_hes_pattern.resize(n+1, n+1);
//
// compute the Hessian sparsity patterns
local::ForHesSweep(
n,
num_var_tape_,
&play_,
for_jac_pattern,
rev_jac_pattern,
for_hes_pattern
);
// return values corresponding to independent variables
// j is index corresponding to reverse mode partial
h.resize(n);
CPPAD_ASSERT_UNKNOWN( for_hes_pattern.end() == n+1 );
for(size_t i = 0; i < n; i++)
{ CPPAD_ASSERT_UNKNOWN( ind_taddr_[i] == i + 1 );
CPPAD_ASSERT_UNKNOWN( play_.GetOp( ind_taddr_[i] ) == local::InvOp );
// extract the result from for_hes_pattern
local::sparse_list::const_iterator itr_2(for_hes_pattern, ind_taddr_[i] );
size_t j = *itr_2;
while( j < for_hes_pattern.end() )
{ CPPAD_ASSERT_UNKNOWN( 0 < j )
h[i].insert(j-1);
j = *(++itr_2);
}
}
}
void ADFun<Base>::ForSparseHesCase(
bool set_type ,
const VectorSet& r ,
const VectorSet& s ,
VectorSet& h )
{ size_t n = Domain();
size_t m = Range();
//
// check Vector is Simple VectorSet class with bool elements
CheckSimpleVector<bool, VectorSet>();
//
CPPAD_ASSERT_KNOWN(
size_t(r.size()) == n,
"ForSparseHes: size of r is not equal to\n"
"domain dimension for ADFun object."
);
CPPAD_ASSERT_KNOWN(
size_t(s.size()) == m,
"ForSparseHes: size of s is not equal to\n"
"range dimension for ADFun object."
);
//
// sparsity pattern corresponding to r
local::sparse_pack for_jac_pattern;
for_jac_pattern.resize(num_var_tape_, n + 1);
for(size_t i = 0; i < n; i++)
{ CPPAD_ASSERT_UNKNOWN( ind_taddr_[i] < n + 1 );
// ind_taddr_[i] is operator taddr for i-th independent variable
CPPAD_ASSERT_UNKNOWN( play_.GetOp( ind_taddr_[i] ) == local::InvOp );
//
if( r[i] )
for_jac_pattern.add_element( ind_taddr_[i], ind_taddr_[i] );
}
// compute forward Jacobiain sparsity pattern
bool dependency = false;
local::ForJacSweep(
dependency,
n,
num_var_tape_,
&play_,
for_jac_pattern
);
// sparsity pattern correspnding to s
local::sparse_pack rev_jac_pattern;
rev_jac_pattern.resize(num_var_tape_, 1);
for(size_t i = 0; i < m; i++)
{ CPPAD_ASSERT_UNKNOWN( dep_taddr_[i] < num_var_tape_ );
if( s[i] )
rev_jac_pattern.add_element( dep_taddr_[i], 0);
}
// compute reverse sparsity pattern for dependency analysis
// (note that we are only want non-zero derivatives not true dependency)
local::RevJacSweep(
dependency,
n,
num_var_tape_,
&play_,
rev_jac_pattern
);
// vector of sets that will hold the forward Hessain values
local::sparse_pack for_hes_pattern;
for_hes_pattern.resize(n+1, n+1);
//
// compute the Hessian sparsity patterns
local::ForHesSweep(
n,
num_var_tape_,
&play_,
for_jac_pattern,
rev_jac_pattern,
for_hes_pattern
);
// initialize return values corresponding to independent variables
h.resize(n * n);
for(size_t i = 0; i < n; i++)
{ for(size_t j = 0; j < n; j++)
h[ i * n + j ] = false;
}
// copy to result pattern
CPPAD_ASSERT_UNKNOWN( for_hes_pattern.end() == n+1 );
for(size_t i = 0; i < n; i++)
{ // ind_taddr_[i] is operator taddr for i-th independent variable
CPPAD_ASSERT_UNKNOWN( ind_taddr_[i] == i + 1 );
CPPAD_ASSERT_UNKNOWN( play_.GetOp( ind_taddr_[i] ) == local::InvOp );
// extract the result from for_hes_pattern
local::sparse_pack::const_iterator itr(for_hes_pattern, ind_taddr_[i] );
size_t j = *itr;
while( j < for_hes_pattern.end() )
{ CPPAD_ASSERT_UNKNOWN( 0 < j )
h[ i * n + (j-1) ] = true;
j = *(++itr);
}
}
}