diff --git a/Mesh_3/doc/Mesh_3/CGAL/lloyd_optimize_mesh_3.h b/Mesh_3/doc/Mesh_3/CGAL/lloyd_optimize_mesh_3.h
deleted file mode 100644
index b891d23810f..00000000000
--- a/Mesh_3/doc/Mesh_3/CGAL/lloyd_optimize_mesh_3.h
+++ /dev/null
@@ -1,116 +0,0 @@
-namespace CGAL {
-
-/*!
-\ingroup PkgMesh3Functions
-
-The function `lloyd_optimize_mesh_3()` is a mesh optimization process
-based on the minimization of a global energy function.
-
-In `lloyd_optimize_mesh_3()`, the minimized global energy may be interpreted
-as the \f$ L^1\f$-norm of the error achieved
-when the function \f$ x^2\f$ is interpolated on the mesh domain
-using a piecewise linear function which is linear
-in each cell of the Voronoi diagram of the mesh vertices.
-
-The optimizer `lloyd_optimize_mesh_3()` works in iterative steps.
-At each iteration, mesh vertices are moved into
-positions that bring to zero the energy gradient
-and the Delaunay triangulation is updated.
-Vertices on the mesh boundaries are handled
-in a special way so as to preserve an accurate
-representation of the domain boundaries.
-
-\pre `time_limit` \f$ \geq\f$ 0 and 0 \f$ \leq\f$ `convergence` \f$ \leq\f$ 1 and 0 \f$ \leq\f$ `freeze_bound` \f$ \leq\f$ 1
-
-\tparam C3T3 is required to be a model of the concept
-`MeshComplex_3InTriangulation_3`.
-The argument `c3t3`, passed by
-reference, provides the initial mesh
-and is modified by the algorithm
-to represent the final optimized mesh.
-
-\tparam MD is required to be a model of the concept
-`MeshDomain_3`. The argument `domain` must be the `MD`
-object used to create the `c3t3` parameter.
-
-The function has four optional parameters which are named parameters (we use the Boost.Parameter library).
-Therefore, when calling the function, the parameters can be provided in any order
-provided that the names of the parameters are used
-(see example at the bottom of this page).
-
-\cgalHeading{Named Parameters}
-
-- `parameters::time_limit`
-is used to set up, in seconds,
-a CPU time limit after which the optimization process is stopped. This time is
-measured using `Real_timer`.
-The default value is 0 and means that there is no time limit.
-
-- `parameters::%max_iteration_number` sets a limit on the
-number of performed iterations. The default value of 0 means that there is
-no limit on the number of performed iterations.
-
-- `parameters::%convergence` is a stopping criterion based on convergence:
-the optimization process is stopped, when at the last iteration,
-the displacement of any vertex is less than a given percentage of the
-length of the shortest edge incident to that vertex.
-The parameter `convergence` gives the threshold ratio.
-
-- `parameters::freeze_bound` is designed to reduce running time of each optimization iteration. Any vertex
-that has a displacement less than a given percentage of the length (the of its shortest incident edge, is frozen (i.e.\ is
-not relocated). The parameter `freeze_bound` gives the threshold ratio.
-
-- `parameters::do_freeze` completes the `freeze_bound` parameter. If it is set to `true` (default value),
-frozen vertices will not move anymore in next iterations. Otherwise, at each iteration, any vertex that
-moves, unfreezes all its incident vertices.
-
-
-\return
-The function `lloyd_optimize_mesh_3()` returns a value of type `CGAL::Mesh_optimization_return_code`
-which is:
-
-- `CGAL::TIME_LIMIT_REACHED` when the time limit is reached.
-
- `CGAL::MAX_ITERATION_NUMBER_REACHED` when `lloyd_optimize_mesh_3()` stops because it has performed `max_iteration_number` iterations.
-
- `CGAL::CONVERGENCE_REACHED` when `lloyd_optimize_mesh_3()` stops because the convergence criterion
-is achieved.
-
- `CGAL::ALL_VERTICES_FROZEN` when all vertices have been frozen, when the
-`do_freeze` parameter is set to true.
-
- `CGAL::CANT_IMPROVE_ANYMORE` when `lloyd_optimize_mesh_3()` stops because
-most vertices have been frozen, and no better convergence can be reached.
-
-
-\cgalHeading{Example}
-
-
-\code{.cpp}
-// Lloyd-smoothing until convergence reaches 0.01, freezing vertices which
-// move less than 0.001*shortest_incident_edge_length
-lloyd_optimize_mesh_3(c3t3,
- domain,
- parameters::convergence=0.01,
- parameters::freeze_bound=0.001,
- parameters::do_freeze=true);
-
-\endcode
-
-\sa `CGAL::Mesh_optimization_return_code`
-\sa `CGAL::make_mesh_3()`
-\sa `CGAL::refine_mesh_3()`
-\sa `CGAL::exude_mesh_3()`
-\sa `CGAL::perturb_mesh_3()`
-\sa `CGAL::odt_optimize_mesh_3()`
-
-\note This function requires the \ref thirdpartyEigen library.
-*/
-
-template
-Mesh_optimization_return_code
-lloyd_optimize_mesh_3(C3T3& c3t3,
- const MD& domain,
- double parameters::time_limit=0,
- std::size_t parameters::max_iteration_number=0,
- double parameters::convergence=0.02,
- double parameters::freeze_bound = 0.01,
- bool parameters::do_freeze=true);
-
-} /* namespace CGAL */
diff --git a/Mesh_3/doc/Mesh_3/Doxyfile.in b/Mesh_3/doc/Mesh_3/Doxyfile.in
index e0a38426b13..307e18392de 100644
--- a/Mesh_3/doc/Mesh_3/Doxyfile.in
+++ b/Mesh_3/doc/Mesh_3/Doxyfile.in
@@ -8,7 +8,8 @@ INPUT += \
${CGAL_PACKAGE_INCLUDE_DIR}/CGAL/Mesh_domain_with_polyline_features_3.h \
${CGAL_PACKAGE_INCLUDE_DIR}/CGAL/Mesh_3/generate_label_weights.h \
${CGAL_PACKAGE_INCLUDE_DIR}/CGAL/exude_mesh_3.h \
- ${CGAL_PACKAGE_INCLUDE_DIR}/CGAL/odt_optimize_mesh_3.h
+ ${CGAL_PACKAGE_INCLUDE_DIR}/CGAL/odt_optimize_mesh_3.h \
+ ${CGAL_PACKAGE_INCLUDE_DIR}/CGAL/lloyd_optimize_mesh_3.h
PROJECT_NAME = "CGAL ${CGAL_DOC_VERSION} - 3D Mesh Generation"
HTML_EXTRA_FILES = ${CGAL_PACKAGE_DOC_DIR}/fig/implicit_domain_3.jpg \
${CGAL_PACKAGE_DOC_DIR}/fig/implicit_domain_4.jpg \
diff --git a/Mesh_3/examples/Mesh_3/mesh_optimization_lloyd_example.cpp b/Mesh_3/examples/Mesh_3/mesh_optimization_lloyd_example.cpp
index fd114c63866..3fa00ebf9aa 100644
--- a/Mesh_3/examples/Mesh_3/mesh_optimization_lloyd_example.cpp
+++ b/Mesh_3/examples/Mesh_3/mesh_optimization_lloyd_example.cpp
@@ -54,8 +54,8 @@ int main(int argc, char*argv[])
C3t3 c3t3_bis = CGAL::make_mesh_3(domain, criteria,
no_perturb(), no_exude());
- CGAL::lloyd_optimize_mesh_3(c3t3_bis, domain, time_limit=30);
- CGAL::exude_mesh_3(c3t3_bis, CGAL::parameters::sliver_bound_new=10, CGAL::parameters::time_limit_new=10);
+ CGAL::lloyd_optimize_mesh_3(c3t3_bis, domain, time_limit_new=30);
+ CGAL::exude_mesh_3(c3t3_bis, sliver_bound_new=10, time_limit_new=10);
// Output
std::ofstream medit_file("out.mesh");
diff --git a/Mesh_3/include/CGAL/lloyd_optimize_mesh_3.h b/Mesh_3/include/CGAL/lloyd_optimize_mesh_3.h
index 8b3ec746e76..2726c9b92d9 100644
--- a/Mesh_3/include/CGAL/lloyd_optimize_mesh_3.h
+++ b/Mesh_3/include/CGAL/lloyd_optimize_mesh_3.h
@@ -21,7 +21,7 @@
#include
-#include
+#include
#include
#include
#include
@@ -29,44 +29,146 @@
#include
#include
-#include
namespace CGAL {
+/*!
+\ingroup PkgMesh3Functions
-#if defined(BOOST_MSVC)
-# pragma warning(push)
-# pragma warning(disable:4003) // not enough actual parameters for macro
-#endif
+The function `lloyd_optimize_mesh_3()` is a mesh optimization process
+based on the minimization of a global energy function.
-// see
-CGAL_PRAGMA_DIAG_PUSH
-// see
-CGAL_IGNORE_BOOST_PARAMETER_NAME_WARNINGS
+In `lloyd_optimize_mesh_3()`, the minimized global energy may be interpreted
+as the \f$ L^1\f$-norm of the error achieved
+when the function \f$ x^2\f$ is interpolated on the mesh domain
+using a piecewise linear function which is linear
+in each cell of the Voronoi diagram of the mesh vertices.
-BOOST_PARAMETER_FUNCTION(
- (Mesh_optimization_return_code),
- lloyd_optimize_mesh_3,
- parameters::tag,
- (required (in_out(c3t3),*) (domain,*) )
- (optional
- (time_limit_, *, 0 )
- (max_iteration_number_, *, 0 )
- (convergence_, *, parameters::default_values_for_mesh_3::lloyd_convergence_ratio )
- (freeze_bound_, *, parameters::default_values_for_mesh_3::lloyd_freeze_ratio )
- (do_freeze_, *, parameters::default_values_for_mesh_3::do_freeze ))
-)
+The optimizer `lloyd_optimize_mesh_3()` works in iterative steps.
+At each iteration, mesh vertices are moved into
+positions that bring to zero the energy gradient
+and the Delaunay triangulation is updated.
+Vertices on the mesh boundaries are handled
+in a special way so as to preserve an accurate
+representation of the domain boundaries.
+
+\pre `time_limit` \f$ \geq\f$ 0 and 0 \f$ \leq\f$ `convergence` \f$ \leq\f$ 1 and 0 \f$ \leq\f$ `freeze_bound` \f$ \leq\f$ 1
+
+\tparam C3T3 is required to be a model of the concept
+`MeshComplex_3InTriangulation_3`.
+The argument `c3t3`, passed by
+reference, provides the initial mesh
+and is modified by the algorithm
+to represent the final optimized mesh.
+
+\tparam MD is required to be a model of the concept
+`MeshDomain_3`. The argument `domain` must be the `MD`
+object used to create the `c3t3` parameter.
+
+\tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
+
+@param cdt the initial mesh that will be modified by the algorithm to represent the final optimized mesh.
+@param domain ...
+@param np an optional sequence of \ref bgl_namedparameters "Named Parameters" among the ones listed below:
+
+\cgalNamedParamsBegin
+ \cgalParamNBegin{time_limit_new}
+ \cgalParamDescription{to set up, in seconds, a CPU time limit after which the optimization process is stopped.
+ This time is measured using `CGAL::Real_timer`. 0 means that there is no time limit.}
+ \cgalParamType{`double`}
+ \cgalParamExtra{\pre `time_limit_new` \f$ \geq\f$ 0}
+ \cgalParamDefault{0}
+
+ \cgalParamNBegin{max_iteration_number_new}
+ \cgalParamDescription{limit on the number of performed iterations. 0 means that there is
+ no limit on the number of performed iterations.}
+ \cgalParamExtra{\pre `max_iteration_number >=0`}
+ \cgalParamType{`int`}
+ \cgalParamDefault{0}
+
+
+ \cgalParamNBegin{freeze_bound_new}
+ \cgalParamDescription{designed to reduce running time of each optimization iteration.
+ Any vertex that has a displacement less than a given fraction of the length
+ of its shortest incident edge, is frozen (i.e.\ is not relocated).
+ The parameter `freeze_bound` gives the threshold ratio.
+ If it is set to 0, freezing of vertices is disabled.}
+ \cgalParamExtra{\pre `0<= freeze_bound <=1}
+ \cgalParamType{`double`}
+ \cgalParamDefault{0.001}
+
+ \cgalParamNBegin{convergence_new}
+ \cgalParamDescription{threshold ratio of stopping criterion based on convergence: the optimization process is stopped
+ when at the last iteration the displacement of any vertex is less than
+ a given fraction of the length of the shortest edge incident to that vertex.}
+ \cgalParamExtra{\pre `0 <=convergence <= 1`}
+ \cgalParamType{`double`}
+ \cgalParamDefault{0.001}
+
+ \cgalParamNBegin{do_freeze_new}
+ \cgalParamDescription{completes the `freeze_bound` parameter. If it is set to `true` (default value),
+ frozen vertices will not move anymore in next iterations. Otherwise, at each iteration, any vertex that
+ moves, unfreezes all its incident vertices.}
+ \cgalParamType{`bool`}
+ \cgalParamDefault{true}
+
+\cgalNamedParamsEnd
+\return
+The function `lloyd_optimize_mesh_3()` returns a value of type `CGAL::Mesh_optimization_return_code`
+which is:
+
+- `CGAL::TIME_LIMIT_REACHED` when the time limit is reached.
+
- `CGAL::MAX_ITERATION_NUMBER_REACHED` when `lloyd_optimize_mesh_3()` stops because it has performed `max_iteration_number` iterations.
+
- `CGAL::CONVERGENCE_REACHED` when `lloyd_optimize_mesh_3()` stops because the convergence criterion
+is achieved.
+
- `CGAL::ALL_VERTICES_FROZEN` when all vertices have been frozen, when the
+`do_freeze` parameter is set to true.
+
- `CGAL::CANT_IMPROVE_ANYMORE` when `lloyd_optimize_mesh_3()` stops because
+most vertices have been frozen, and no better convergence can be reached.
+
+
+\cgalHeading{Example}
+
+
+\code{.cpp}
+// Lloyd-smoothing until convergence reaches 0.01, freezing vertices which
+// move less than 0.001*shortest_incident_edge_length
+lloyd_optimize_mesh_3(c3t3,
+ domain,
+ parameters::convergence=0.01,
+ parameters::freeze_bound=0.001,
+ parameters::do_freeze=true);
+
+\endcode
+
+\sa `CGAL::Mesh_optimization_return_code`
+\sa `CGAL::make_mesh_3()`
+\sa `CGAL::refine_mesh_3()`
+\sa `CGAL::exude_mesh_3()`
+\sa `CGAL::perturb_mesh_3()`
+\sa `CGAL::odt_optimize_mesh_3()`
+
+\note This function requires the \ref thirdpartyEigen library.
+*/
+template
+Mesh_optimization_return_code lloyd_optimize_mesh_3(C3T3& c3t3, MeshDomain& domain,const CGAL_NP_CLASS& np = parameters::default_values())
{
- return lloyd_optimize_mesh_3_impl(c3t3, domain,
- time_limit_, max_iteration_number_,
- convergence_, freeze_bound_
- , do_freeze_);
+ using parameters::choose_parameter;
+ using parameters::get_parameter;
+ int max_iterations = choose_parameter(get_parameter(np, internal_np::number_of_iterations), 0);
+ const double convergence_ratio = choose_parameter(get_parameter(np, internal_np::convergence_ratio), 0.001);
+ const double freeze_bound = choose_parameter(get_parameter(np, internal_np::vertex_freeze_bound), 0.001);
+ const double time_limit = choose_parameter(get_parameter(np, internal_np::maximum_running_time), 0.);
+ bool do_freeze = choose_parameter(get_parameter(np,internal_np::freeze),true);
+ return lloyd_optimize_mesh_3_impl(c3t3, domain, time_limit, max_iterations, convergence_ratio, freeze_bound, do_freeze);
}
-CGAL_PRAGMA_DIAG_POP
-
-#if defined(BOOST_MSVC)
-# pragma warning(pop)
-#endif
-
+#ifndef DOXYGEN_RUNNING
+#ifndef CGAL_NO_DEPRECATED_CODE
+template
+Mesh_optimization_return_code lloyd_optimize_mesh_3(C3T3& c3t3,MeshDomain& domain, const NP_PACK& ...nps)
+{
+ return lloyd_optimize_mesh_3(c3t3,domain, internal_np::combine_named_parameters(nps...));
+}
+#endif //CGAL_NO_DEPRECATED_CODE
template
Mesh_optimization_return_code
@@ -106,10 +208,127 @@ lloyd_optimize_mesh_3_impl(C3T3& c3t3,
// Launch optimization
return opt(static_cast(max_iteration_number));
}
+#else
+namespace CGAL {
+/*!
+\ingroup PkgMesh3Functions
+\deprecated This function is deprecated since \cgal 5.5, the overload using `NamedParameters` must be used instead.
+
+The function `lloyd_optimize_mesh_3()` is a mesh optimization process
+based on the minimization of a global energy function.
+
+In `lloyd_optimize_mesh_3()`, the minimized global energy may be interpreted
+as the \f$ L^1\f$-norm of the error achieved
+when the function \f$ x^2\f$ is interpolated on the mesh domain
+using a piecewise linear function which is linear
+in each cell of the Voronoi diagram of the mesh vertices.
+
+The optimizer `lloyd_optimize_mesh_3()` works in iterative steps.
+At each iteration, mesh vertices are moved into
+positions that bring to zero the energy gradient
+and the Delaunay triangulation is updated.
+Vertices on the mesh boundaries are handled
+in a special way so as to preserve an accurate
+representation of the domain boundaries.
+
+\pre `time_limit` \f$ \geq\f$ 0 and 0 \f$ \leq\f$ `convergence` \f$ \leq\f$ 1 and 0 \f$ \leq\f$ `freeze_bound` \f$ \leq\f$ 1
+
+\tparam C3T3 is required to be a model of the concept
+`MeshComplex_3InTriangulation_3`.
+The argument `c3t3`, passed by
+reference, provides the initial mesh
+and is modified by the algorithm
+to represent the final optimized mesh.
+
+\tparam MD is required to be a model of the concept
+`MeshDomain_3`. The argument `domain` must be the `MD`
+object used to create the `c3t3` parameter.
+
+The function has four optional parameters which are named parameters (we use the Boost.Parameter library).
+Therefore, when calling the function, the parameters can be provided in any order
+provided that the names of the parameters are used
+(see example at the bottom of this page).
+
+\cgalHeading{Named Parameters}
+
+- `parameters::time_limit`
+is used to set up, in seconds,
+a CPU time limit after which the optimization process is stopped. This time is
+measured using `Real_timer`.
+The default value is 0 and means that there is no time limit.
+
+- `parameters::%max_iteration_number` sets a limit on the
+number of performed iterations. The default value of 0 means that there is
+no limit on the number of performed iterations.
+
+- `parameters::%convergence` is a stopping criterion based on convergence:
+the optimization process is stopped, when at the last iteration,
+the displacement of any vertex is less than a given percentage of the
+length of the shortest edge incident to that vertex.
+The parameter `convergence` gives the threshold ratio.
+
+- `parameters::freeze_bound` is designed to reduce running time of each optimization iteration. Any vertex
+that has a displacement less than a given percentage of the length (the of its shortest incident edge, is frozen (i.e.\ is
+not relocated). The parameter `freeze_bound` gives the threshold ratio.
+
+- `parameters::do_freeze` completes the `freeze_bound` parameter. If it is set to `true` (default value),
+frozen vertices will not move anymore in next iterations. Otherwise, at each iteration, any vertex that
+moves, unfreezes all its incident vertices.
+
+
+\return
+The function `lloyd_optimize_mesh_3()` returns a value of type `CGAL::Mesh_optimization_return_code`
+which is:
+
+- `CGAL::TIME_LIMIT_REACHED` when the time limit is reached.
+
- `CGAL::MAX_ITERATION_NUMBER_REACHED` when `lloyd_optimize_mesh_3()` stops because it has performed `max_iteration_number` iterations.
+
- `CGAL::CONVERGENCE_REACHED` when `lloyd_optimize_mesh_3()` stops because the convergence criterion
+is achieved.
+
- `CGAL::ALL_VERTICES_FROZEN` when all vertices have been frozen, when the
+`do_freeze` parameter is set to true.
+
- `CGAL::CANT_IMPROVE_ANYMORE` when `lloyd_optimize_mesh_3()` stops because
+most vertices have been frozen, and no better convergence can be reached.
+
+
+\cgalHeading{Example}
+
+
+\code{.cpp}
+// Lloyd-smoothing until convergence reaches 0.01, freezing vertices which
+// move less than 0.001*shortest_incident_edge_length
+lloyd_optimize_mesh_3(c3t3,
+ domain,
+ parameters::convergence=0.01,
+ parameters::freeze_bound=0.001,
+ parameters::do_freeze=true);
+
+\endcode
+
+\sa `CGAL::Mesh_optimization_return_code`
+\sa `CGAL::make_mesh_3()`
+\sa `CGAL::refine_mesh_3()`
+\sa `CGAL::exude_mesh_3()`
+\sa `CGAL::perturb_mesh_3()`
+\sa `CGAL::odt_optimize_mesh_3()`
+
+\note This function requires the \ref thirdpartyEigen library.
+*/
+
+template
+Mesh_optimization_return_code
+lloyd_optimize_mesh_3(C3T3& c3t3,
+ const MD& domain,
+ double parameters::time_limit=0,
+ std::size_t parameters::max_iteration_number=0,
+ double parameters::convergence=0.02,
+ double parameters::freeze_bound = 0.01,
+ bool parameters::do_freeze=true);
+
+} /* namespace CGAL */
+
+#endif //DOXYGEN_RUNNING
} // end namespace CGAL
-#include
-
#endif // CGAL_LLOYD_OPTIMIZE_MESH_3_H
diff --git a/Mesh_3/include/CGAL/refine_mesh_3.h b/Mesh_3/include/CGAL/refine_mesh_3.h
index b2d307db86e..cc441aba124 100644
--- a/Mesh_3/include/CGAL/refine_mesh_3.h
+++ b/Mesh_3/include/CGAL/refine_mesh_3.h
@@ -578,10 +578,10 @@ void refine_mesh_3_impl(C3T3& c3t3,
{
lloyd_optimize_mesh_3(c3t3,
domain,
- parameters::time_limit = lloyd.time_limit(),
- parameters::max_iteration_number = lloyd.max_iteration_number(),
- parameters::convergence = lloyd.convergence(),
- parameters::freeze_bound = lloyd.bound());
+ parameters::time_limit_new = lloyd.time_limit(),
+ parameters::max_iteration_number_new = lloyd.max_iteration_number(),
+ parameters::convergence_new = lloyd.convergence(),
+ parameters::freeze_bound_new = lloyd.bound());
}
if( odt || lloyd) {
diff --git a/Mesh_3/test/Mesh_3/test_meshing_determinism.cpp b/Mesh_3/test/Mesh_3/test_meshing_determinism.cpp
index bb29b2d383c..068a3e495bc 100644
--- a/Mesh_3/test/Mesh_3/test_meshing_determinism.cpp
+++ b/Mesh_3/test/Mesh_3/test_meshing_determinism.cpp
@@ -87,7 +87,7 @@ void test()
oss.clear();
//LLOYD (1)
- CGAL::lloyd_optimize_mesh_3(c3t3, domain, max_iteration_number = nb_lloyd);
+ CGAL::lloyd_optimize_mesh_3(c3t3, domain, max_iteration_number_new = nb_lloyd);
c3t3.output_to_medit(oss);
output_c3t3.push_back(oss.str());//[i*5+1]
oss.clear();
diff --git a/Mesh_3/test/Mesh_3/test_meshing_utilities.h b/Mesh_3/test/Mesh_3/test_meshing_utilities.h
index e9a2878ffe2..159bd61f160 100644
--- a/Mesh_3/test/Mesh_3/test_meshing_utilities.h
+++ b/Mesh_3/test/Mesh_3/test_meshing_utilities.h
@@ -184,8 +184,8 @@ struct Tester
// Vertex number should not change (obvious)
C3t3 lloyd_c3t3(c3t3);
std::cerr << "Lloyd...\n";
- CGAL::lloyd_optimize_mesh_3(lloyd_c3t3, domain, CGAL::parameters::time_limit=5,
- CGAL::parameters::convergence=0.001, CGAL::parameters::freeze_bound=0.0005);
+ CGAL::lloyd_optimize_mesh_3(lloyd_c3t3, domain, CGAL::parameters::time_limit_new=5,
+ CGAL::parameters::convergence_new=0.001, CGAL::parameters::freeze_bound_new=0.0005);
verify_c3t3(lloyd_c3t3,domain,domain_type,v,v);
verify_c3t3_volume(lloyd_c3t3, volume*0.95, volume*1.05);
verify_c3t3_hausdorff_distance(lloyd_c3t3, domain, domain_type, hdist);