mirror of https://github.com/CGAL/cgal
Readability changes (no real changes)
This commit is contained in:
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4f02f892cb
commit
42c25d1c84
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@ -45,7 +45,8 @@ struct Data_access
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Data_access<Map>(const Map& m): map(m){}
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std::pair< Data_type, bool>
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operator()(const Key_type& p) const {
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operator()(const Key_type& p) const
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{
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typename Map::const_iterator mit = map.find(p);
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if(mit!= map.end())
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return std::make_pair(mit->second, true);
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@ -68,7 +69,8 @@ linear_interpolation(ForwardIterator first, ForwardIterator beyond,
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typedef typename Functor::result_type::first_type Value_type;
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Value_type result(0);
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typename Functor::result_type val;
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for(; first !=beyond; ++first){
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for(; first !=beyond; ++first)
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{
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val = function_value(first->first);
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CGAL_assertion(val.second);
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result += (first->second/norm) * val.first;
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@ -77,7 +79,8 @@ linear_interpolation(ForwardIterator first, ForwardIterator beyond,
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}
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template < class ForwardIterator, class Functor, class GradFunctor, class Traits, class Point>
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template < class ForwardIterator, class Functor, class GradFunctor,
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class Traits, class Point >
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std::pair< typename Functor::result_type::first_type, bool>
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quadratic_interpolation(ForwardIterator first, ForwardIterator beyond,
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const typename
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@ -89,20 +92,21 @@ quadratic_interpolation(ForwardIterator first, ForwardIterator beyond,
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const Traits& traits)
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{
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CGAL_precondition(norm > 0);
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Interpolation::internal::V2P<Traits> v2p(traits);
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typedef typename Functor::result_type::first_type Value_type;
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Interpolation::internal::V2P<Traits> v2p(traits);
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Value_type result(0);
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typename Functor::result_type f;
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typename GradFunctor::result_type grad;
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for(; first !=beyond; ++first){
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for(; first !=beyond; ++first)
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{
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f = function_value(first->first);
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grad = function_gradient(first->first);
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//test if value and gradient are correctly retrieved:
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CGAL_assertion(f.second);
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if(!grad.second)
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return std::make_pair(Value_type(0), false);
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result += (first->second/norm)
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*( f.first + grad.first*
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result += (first->second/norm) * (f.first + grad.first *
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traits.construct_scaled_vector_d_object()
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(traits.construct_vector_d_object()(v2p(first->first), p),0.5));
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}
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@ -110,7 +114,8 @@ quadratic_interpolation(ForwardIterator first, ForwardIterator beyond,
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}
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template < class ForwardIterator, class Functor, class GradFunctor, class Traits, class Point>
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template < class ForwardIterator, class Functor, class GradFunctor,
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class Traits, class Point >
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std::pair< typename Functor::result_type::first_type, bool>
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sibson_c1_interpolation(ForwardIterator first, ForwardIterator beyond,
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const typename
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@ -122,7 +127,6 @@ sibson_c1_interpolation(ForwardIterator first, ForwardIterator beyond,
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const Traits& traits)
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{
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CGAL_precondition(norm >0);
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Interpolation::internal::V2P<Traits> v2p(traits);
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typedef typename Functor::result_type::first_type Value_type;
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typedef typename Traits::FT Coord_type;
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@ -130,26 +134,28 @@ sibson_c1_interpolation(ForwardIterator first, ForwardIterator beyond,
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Value_type linear_int(0), gradient_int(0);
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typename Functor::result_type f;
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typename GradFunctor::result_type grad;
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Interpolation::internal::V2P<Traits> v2p(traits);
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for(; first !=beyond; ++first){
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for(; first !=beyond; ++first)
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{
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f = function_value(first->first);
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grad = function_gradient(first->first);
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CGAL_assertion(f.second);
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if(!grad.second)
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//the values are not correct:
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return std::make_pair(Value_type(0), false);
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return std::make_pair(Value_type(0), false); //the values are not correct
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Coord_type coeff = first->second/norm;
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Coord_type squared_dist = traits.
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compute_squared_distance_d_object()(v2p(first->first), p);
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Coord_type squared_dist = traits.compute_squared_distance_d_object()(v2p(first->first), p);
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Coord_type dist = CGAL_NTS sqrt(squared_dist);
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if(squared_dist ==0){
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if(squared_dist == 0)
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{
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ForwardIterator it = first;
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CGAL_USE(it);
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CGAL_assertion(++it == beyond);
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return std::make_pair(f.first, true);
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}
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//three different terms to mix linear and gradient
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//interpolation
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term1 += coeff / dist;
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@ -158,8 +164,7 @@ sibson_c1_interpolation(ForwardIterator first, ForwardIterator beyond,
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linear_int += coeff * f.first;
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gradient_int += (coeff/dist)
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* (f.first + grad.first *
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gradient_int += (coeff/dist) * (f.first + grad.first *
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traits.construct_vector_d_object()(v2p(first->first), p));
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}
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@ -170,20 +175,19 @@ sibson_c1_interpolation(ForwardIterator first, ForwardIterator beyond,
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(term4 + term2), true);
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}
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//this method works with rational number types:
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// This method works with rational number types:
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// modification of Sibson's interpolant without sqrt
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// following a proposition by Gunther Rote:
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//
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// the general scheme:
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// The general scheme:
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// Coord_type inv_weight = f(dist); //i.e. dist^2
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// term1 += coeff/inv_weight;
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// term2 += coeff * squared_dist;
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// term3 += coeff*(squared_dist/inv_weight);
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// gradient_int += (coeff/inv_weight)*
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// (vh->get_value()+ vh->get_gradient()
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// *(p - vh->point()));
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// gradient_int += (coeff/inv_weight) * (vh->get_value()+ vh->get_gradient() * (p - vh->point()));
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template < class ForwardIterator, class Functor, class GradFunctor, class Traits, class Point>
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template < class ForwardIterator, class Functor, class GradFunctor,
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class Traits, class Point >
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std::pair< typename Functor::result_type::first_type, bool >
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sibson_c1_interpolation_square(ForwardIterator first, ForwardIterator beyond,
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const typename
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@ -204,23 +208,26 @@ sibson_c1_interpolation_square(ForwardIterator first, ForwardIterator beyond,
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typename Functor::result_type f;
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typename GradFunctor::result_type grad;
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for(; first!=beyond; ++first){
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for(; first!=beyond; ++first)
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{
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f = function_value(first->first);
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grad = function_gradient(first->first);
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CGAL_assertion(f.second);
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if(!grad.second)
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//the gradient is not known
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return std::make_pair(Value_type(0), false);
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return std::make_pair(Value_type(0), false); // the gradient is not known
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Coord_type coeff = first->second/norm;
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Coord_type squared_dist = traits.compute_squared_distance_d_object()(v2p(first->first), v2p(p));
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if(squared_dist ==0){
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if(squared_dist ==0)
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{
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ForwardIterator it = first;
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CGAL_USE(it);
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CGAL_assertion(++it == beyond);
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return std::make_pair(f.first, true);
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}
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//three different terms to mix linear and gradient
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//interpolation
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term1 += coeff / squared_dist;
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@ -265,7 +272,8 @@ farin_c1_interpolation(RandomAccessIterator first,
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typename GradFunctor::result_type grad;
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int n = static_cast<int>(beyond - first);
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if( n==1){
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if(n == 1)
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{
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f = function_value(first->first);
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CGAL_assertion(f.second);
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return std::make_pair(f.first, true);
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@ -279,10 +287,10 @@ farin_c1_interpolation(RandomAccessIterator first,
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Value_type result(0);
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const Coord_type fac3(3);
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std::vector< std::vector<Value_type> >
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ordinates(n,std::vector<Value_type>(n, Value_type(0)));
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std::vector< std::vector<Value_type> > ordinates(n, std::vector<Value_type>(n, Value_type(0)));
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for(int i =0; i<n; ++i){
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for(int i=0; i<n; ++i)
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{
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it = first + i;
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Coord_type coord_i_square = CGAL_NTS square(it->second);
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@ -296,14 +304,15 @@ farin_c1_interpolation(RandomAccessIterator first,
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// compute tangent plane control point (one 2, one 1 entry)
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Value_type res_i(0);
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for(int j =0; j<n; ++j){
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if(i!=j){
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for(int j=0; j<n; ++j)
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{
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if(i!=j)
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{
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it2 = first + j;
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grad = function_gradient(it->first);
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if(!grad.second)
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//the gradient is not known
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return std::make_pair(Value_type(0), false);
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return std::make_pair(Value_type(0), false); // the gradient is not known
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//ordinates[i][j] = (p_j - p_i) * g_i
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ordinates[i][j] = grad.first *
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@ -321,8 +330,11 @@ farin_c1_interpolation(RandomAccessIterator first,
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// the third type of control points: three 1 entries i,j,k
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for(int i=0; i< n; ++i)
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{
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for(int j=i+1; j< n; ++j)
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for(int k=j+1; k<n; ++k){
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{
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for(int k=j+1; k<n; ++k)
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{
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// add 6* (u_i*u_j*u_k) * b_ijk
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// b_ijk = 1.5 * a - 0.5*c
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// where
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@ -338,6 +350,8 @@ farin_c1_interpolation(RandomAccessIterator first,
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ordinates[k][j]))
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* (first+i)->second *(first+j)->second *(first+k)->second ;
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}
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}
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}
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return std::make_pair(result/(CGAL_NTS square(norm)*norm), true);
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}
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@ -24,17 +24,19 @@
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#include <CGAL/license/Interpolation.h>
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#include <CGAL/Origin.h>
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#include <CGAL/Interpolation/internal/helpers.h>
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#include <CGAL/natural_neighbor_coordinates_2.h>
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#include <CGAL/regular_neighbor_coordinates_2.h>
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#include <iterator>
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#include <utility>
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#include <CGAL/Origin.h>
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#include <boost/mpl/if.hpp>
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#include <boost/type_traits/is_same.hpp>
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#include <iterator>
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#include <utility>
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#include <vector>
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namespace CGAL {
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template < class ForwardIterator, class Functor, class Traits >
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@ -42,22 +44,20 @@ typename Traits::Vector_d
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sibson_gradient_fitting(ForwardIterator first,
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ForwardIterator beyond,
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const typename
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std::iterator_traits<ForwardIterator>::
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value_type::second_type& norm,
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std::iterator_traits<ForwardIterator>::value_type::second_type& norm,
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const typename Traits::Point_d& bare_p,
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const typename Functor::result_type::first_type fn,
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Functor function_value,
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const Traits& traits)
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{
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Interpolation::internal::V2P<Traits> v2p(traits);
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CGAL_precondition( first != beyond && norm != 0);
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Interpolation::internal::V2P<Traits> v2p(traits);
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typedef typename Traits::Aff_transformation_d Aff_transformation;
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typedef typename Traits::FT Coord_type;
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typename Traits::Vector_d pn =
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traits.construct_vector_d_object()(NULL_VECTOR);
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Aff_transformation scaling, m,
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Hn(traits.construct_null_matrix_d_object()());
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typename Traits::Vector_d pn = traits.construct_vector_d_object()(NULL_VECTOR);
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Aff_transformation scaling, m, Hn(traits.construct_null_matrix_d_object()());
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for(; first!=beyond; ++first)
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{
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@ -70,13 +70,11 @@ sibson_gradient_fitting(ForwardIterator first,
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// compute the vector pn:
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typename Functor::result_type f = function_value(first->first);
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CGAL_assertion(f.second); //function value of first->first is valid
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pn = pn + traits.construct_scaled_vector_d_object()
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(d,scale * (f.first - fn));
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pn = pn + traits.construct_scaled_vector_d_object()(d, scale * (f.first - fn));
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//compute the matrix Hn:
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m = traits.construct_outer_product_d_object()(d);
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scaling = traits.construct_scaling_matrix_d_object()(scale);
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Hn = traits.construct_sum_matrix_d_object()(Hn, scaling * m);
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}
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return Hn.inverse().transform(pn);
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@ -88,9 +86,7 @@ typename Traits::Vector_d
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sibson_gradient_fitting(const Triangul& tr,
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ForwardIterator first,
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ForwardIterator beyond,
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const typename
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std::iterator_traits<ForwardIterator>::
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value_type::second_type& norm,
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const typename std::iterator_traits<ForwardIterator>::value_type::second_type& norm,
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VH vh,
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Functor function_value,
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const Traits& traits,
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@ -116,8 +112,7 @@ sibson_gradient_fitting(const Triangul& tr,
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ForwardIterator first,
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ForwardIterator beyond,
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const typename
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std::iterator_traits<ForwardIterator>::
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value_type::second_type& norm,
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std::iterator_traits<ForwardIterator>::value_type::second_type& norm,
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VH vh,
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Functor function_value,
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const Traits& traits,
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@ -142,8 +137,7 @@ sibson_gradient_fitting(const Triangul& tr,
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ForwardIterator first,
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ForwardIterator beyond,
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const typename
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std::iterator_traits<ForwardIterator>::
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value_type::second_type& norm,
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std::iterator_traits<ForwardIterator>::value_type::second_type& norm,
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VH vh,
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Functor function_value,
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const Traits& traits,
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@ -205,7 +199,7 @@ sibson_gradient_fitting_internal(const Triangul& tr,
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}
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//the following functions allow to fit the gradients for all points in
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// The following functions allow to fit the gradients for all points in
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// a triangulation except the convex hull points.
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// -> _nn2: natural_neighbor_coordinates_2
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// -> _rn2: regular_neighbor_coordinates_2
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@ -263,7 +257,6 @@ sibson_gradient_fitting_rn_2(const Rt& rt,
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std::pair< typename Functor::argument_type,
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typename Traits::FT > > > CoordInserter;
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typedef typename boost::mpl::if_<
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boost::is_same<typename Functor::argument_type, typename Rt::Weighted_point>,
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Interpolation::internal::Vertex2WPoint<Rt, typename Traits::FT>,
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