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/dports/devel/boost-docs/boost_1_72_0/libs/math/tools/
H A Dgauss_kronrod_constants.cpp83 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("f", 9, 0); in main()
84 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 17, 1); in main()
85 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("L", 35, 2); in main()
86 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("Q", 35, 3); in main()
87 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 115, 4); in main()
89 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("f", 9, 0); in main()
90 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("", 17, 1); in main()
95 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("f", 9, 0); in main()
96 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("", 17, 1); in main()
101 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("f", 9, 0); in main()
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/dports/devel/boost-python-libs/boost_1_72_0/libs/math/tools/
H A Dgauss_kronrod_constants.cpp83 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("f", 9, 0); in main()
84 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 17, 1); in main()
85 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("L", 35, 2); in main()
86 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("Q", 35, 3); in main()
87 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 115, 4); in main()
89 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("f", 9, 0); in main()
90 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("", 17, 1); in main()
95 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("f", 9, 0); in main()
96 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("", 17, 1); in main()
101 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("f", 9, 0); in main()
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/dports/math/stanmath/math-4.2.0/lib/boost_1.75.0/libs/math/tools/
H A Dgauss_kronrod_constants.cpp83 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("f", 9, 0); in main()
84 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 17, 1); in main()
85 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("L", 35, 2); in main()
86 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("Q", 35, 3); in main()
87 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 115, 4); in main()
89 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("f", 9, 0); in main()
90 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("", 17, 1); in main()
95 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("f", 9, 0); in main()
96 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("", 17, 1); in main()
101 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("f", 9, 0); in main()
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/dports/devel/boost-libs/boost_1_72_0/libs/math/tools/
H A Dgauss_kronrod_constants.cpp83 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("f", 9, 0); in main()
84 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 17, 1); in main()
85 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("L", 35, 2); in main()
86 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("Q", 35, 3); in main()
87 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 115, 4); in main()
89 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("f", 9, 0); in main()
90 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("", 17, 1); in main()
95 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("f", 9, 0); in main()
96 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("", 17, 1); in main()
101 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("f", 9, 0); in main()
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/dports/devel/hyperscan/boost_1_75_0/libs/math/tools/
H A Dgauss_kronrod_constants.cpp83 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("f", 9, 0); in main()
84 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 17, 1); in main()
85 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("L", 35, 2); in main()
86 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("Q", 35, 3); in main()
87 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 7> >("", 115, 4); in main()
89 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("f", 9, 0); in main()
90 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 10> >("", 17, 1); in main()
95 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("f", 9, 0); in main()
96 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 15> >("", 17, 1); in main()
101 print_gauss_constants<boost::math::quadrature::gauss<mp_type, 20> >("f", 9, 0); in main()
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/dports/math/deal.ii/dealii-803d21ff957e349b3799cd3ef2c840bc78734305/source/base/
H A Dqprojector.cc191 Point<dim>(0, quadrature.point(p)(0), quadrature.point(p)(1)); in project_to_face()
195 Point<dim>(1, quadrature.point(p)(0), quadrature.point(p)(1)); in project_to_face()
199 Point<dim>(quadrature.point(p)(1), 0, quadrature.point(p)(0)); in project_to_face()
203 Point<dim>(quadrature.point(p)(1), 1, quadrature.point(p)(0)); in project_to_face()
207 Point<dim>(quadrature.point(p)(0), quadrature.point(p)(1), 0); in project_to_face()
211 Point<dim>(quadrature.point(p)(0), quadrature.point(p)(1), 1); in project_to_face()
230 quadrature, in project_to_subface()
269 quadrature, in project_to_subface()
369 quadrature, in project_to_subface()
1064 quadrature, in project_to_child()
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/dports/math/deal.ii/dealii-803d21ff957e349b3799cd3ef2c840bc78734305/include/deal.II/base/
H A Dqprojector.h97 project_to_face(const SubQuadrature & quadrature,
108 const SubQuadrature & quadrature,
131 const SubQuadrature & quadrature,
235 project_to_all_faces(const SubQuadrature &quadrature);
275 project_to_all_subfaces(const SubQuadrature &quadrature);
309 project_to_child(const Quadrature<dim> &quadrature,
324 const Quadrature<dim> & quadrature,
365 project_to_line(const Quadrature<1> &quadrature,
375 const Quadrature<1> & quadrature,
624 const Quadrature<0> & quadrature);
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/dports/science/elmerfem/elmerfem-release-9.0/fem/tests/Classical2DShell/
H A Dcylindrical_shell.sif12 ! Note that now Elmer uses economic quadrature rules for element definitions
18 ! p:1 Relative energy error = 0.88896260271790639 / Standard quadrature with 4 points
19 ! p:2 Relative energy error = 0.29814339193540801 / Standard quadrature with 9 points
20 ! p:2 Relative energy error = 0.31558716335632925 / Economic quadrature with 8 points
21 ! p:2 b:1 Relative energy error = 0.23711572317485702 / Standard quadrature with 9 points
22 ! p:2 b:15 Relative energy error = 0.10031149151079155 / Standard quadrature with 49 points
23 ! p:3 Relative energy error = 0.17701104808582918 / Economic quadrature with 16 points
24 ! p:3 Relative energy error = 0.17653138601955753 / Economic quadrature with 12 points
25 ! p:3 b:15 Relative energy error = 1.9351692322981600E-002 / Standard quadrature with 49 points
26 ! p:4 Relative energy error = 3.4526616304186068E-002 / Standard quadrature with 25 points
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/dports/math/dune-fem/dune-fem-d1c625e6d51167d0cce57de6adcef21f548a8f82/dune/fem/space/shapefunctionset/
H A Dcaching.hh114 ranges( *this, quadrature, rangeCaches_, localRangeCache_ ); in rangeCache()
121 jacobians( *this, quadrature, jacobianCaches_, localJacobianCache_ ); in jacobianCache()
215 evaluateEach( quadrature.point( pt ), functor ); in evaluateEach()
226 jacobianEach( quadrature.point( pt ), functor ); in jacobianEach()
266 assert( (quadrature.id() < rangeCaches_.size()) && !rangeCaches_[ quadrature.id() ].empty() ); in evaluateEach()
267 const RangeType *cache = rangeCaches_[ quadrature.id() ].data(); in evaluateEach()
270 const unsigned int cpt = quadrature.cachingPoint( pt ); in evaluateEach()
281 if( quadrature.isInterpolationQuadrature(numShapeFunctions) ) in evaluateEach()
291 const unsigned int point = quadrature.interpolationPoint( pt ); in evaluateEach()
313 …assert( (quadrature.id() < jacobianCaches_.size()) && !jacobianCaches_[ quadrature.id() ].empty() … in jacobianEach()
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/dports/math/dune-fem/dune-fem-d1c625e6d51167d0cce57de6adcef21f548a8f82/dune/fempy/quadrature/
H A Dcachingpoint.hh35 CachingPoint ( const Quadrature &quadrature, std::size_t idx ) in CachingPoint()
36 : id_( quadrature.id() ), in CachingPoint()
37 idx_( quadrature.cachingPoint( idx ) ), in CachingPoint()
38 position_( quadrature.point( idx ) ) in CachingPoint()
43 : CachingPoint( x.quadrature(), x.index() ) in CachingPoint()
72 CachingPoint ( const Quadrature &quadrature, std::size_t idx ) in CachingPoint()
73 : id_( quadrature.id() ), in CachingPoint()
74 idx_( quadrature.cachingPoint( idx ) ), in CachingPoint()
75 position_( quadrature.point( idx ) ), in CachingPoint()
76 localPosition_( quadrature.localPoint( idx ) ) in CachingPoint()
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H A Delementpoint.hh34 ElementPoint ( const Quadrature &quadrature, std::size_t idx ) in ElementPoint()
35 : position_( quadrature.point( idx ) ) in ElementPoint()
40 : ElementPoint( x.quadrature(), x.index() ) in ElementPoint()
63 ElementPoint ( const Quadrature &quadrature, std::size_t idx ) in ElementPoint()
64 : position_( quadrature.point( idx ) ), in ElementPoint()
65 localPosition_( quadrature.localPoint( idx ) ) in ElementPoint()
70 : ElementPoint( x.quadrature(), x.index() ) in ElementPoint()
/dports/math/dune-fem/dune-fem-d1c625e6d51167d0cce57de6adcef21f548a8f82/dune/fem/space/finitevolume/
H A Dbasisfunctionset.hh71 void axpy ( const Quadrature &quadrature, const Vector &values, DofVector &dofs ) const in axpy()
73 const unsigned int nop = quadrature.nop(); in axpy()
75 axpy( quadrature[ qp ], values[ qp ], dofs ); in axpy()
82 const unsigned int nop = quadrature.nop(); in axpy()
85 axpy( quadrature[ qp ], valuesA[ qp ], dofs ); in axpy()
86 axpy( quadrature[ qp ], valuesB[ qp ], dofs ); in axpy()
113 … void evaluateAll ( const Quadrature &quadrature, const DofVector &dofs, RangeArray &ranges ) const in evaluateAll()
115 const unsigned int nop = quadrature.nop(); in evaluateAll()
117 evaluateAll( quadrature[ qp ], dofs, ranges[ qp ] ); in evaluateAll()
143 const unsigned int nop = quadrature.nop(); in jacobianAll()
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/dports/math/dune-fem/dune-fem-d1c625e6d51167d0cce57de6adcef21f548a8f82/dune/fempy/function/
H A Dvirtualizedgridfunction.hh252 { impl_->evaluateQuadrature( quadrature, values ); } in evaluateSingleQuadrature()
254 { impl_->evaluateQuadrature( quadrature, values ); } in evaluateSingleQuadrature()
256 { impl_->evaluateQuadrature( quadrature, values ); } in evaluateSingleQuadrature()
258 { impl_->evaluateQuadrature( quadrature, values ); } in evaluateSingleQuadrature()
268 { impl_->jacobianQuadrature( quadrature, values ); } in jacobianQuadrature()
279 for( const auto qp : quadrature ) in jacobianQuadrature()
288 { impl_->hessianQuadrature( quadrature, values ); } in hessianQuadrature()
290 { impl_->hessianQuadrature( quadrature, values ); } in hessianQuadrature()
292 { impl_->hessianQuadrature( quadrature, values ); } in hessianQuadrature()
294 { impl_->hessianQuadrature( quadrature, values ); } in hessianQuadrature()
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/dports/math/libmesh/libmesh-1.6.2/src/
H A Dlibmesh_SOURCES281 src/quadrature/quadrature.C \
282 src/quadrature/quadrature_build.C \
283 src/quadrature/quadrature_clough.C \
291 src/quadrature/quadrature_gauss.C \
299 src/quadrature/quadrature_gm.C \
300 src/quadrature/quadrature_gm_2D.C \
301 src/quadrature/quadrature_gm_3D.C \
302 src/quadrature/quadrature_grid.C \
306 src/quadrature/quadrature_jacobi.C \
312 src/quadrature/quadrature_nodal.C \
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/dports/math/dune-fem/dune-fem-d1c625e6d51167d0cce57de6adcef21f548a8f82/dune/fem/space/discontinuousgalerkin/
H A Dlocalinterpolation.hh80 … ElementQuadratureType quadrature( entity, localFunction.order() + space_.order( entity ) ); in operator ()() local
81 bool isAffine = computeInterpolation( entity, quadrature, localFunction, dofs ); in operator ()()
93 QuadratureType quadrature( entity, localFunction.order() + space_.order( entity ) ); in operator ()() local
94 bool isAffine = computeInterpolation( entity, quadrature, localFunction, dofs ); in operator ()()
108 const QuadImpl& quadrature, in computeInterpolation() argument
112 const int nop = quadrature.nop(); in computeInterpolation()
119 localFunction.evaluateQuadrature( quadrature, values ); in computeInterpolation()
130 for(auto qp : quadrature ) in computeInterpolation()
138 for(auto qp : quadrature ) in computeInterpolation()
143 space_.basisFunctionSet(entity).axpy( quadrature, values, dofs ); in computeInterpolation()
H A Dinterpolation.hh104 … ElementQuadratureType quadrature( entity, localFunction.order() + basisFunctionSet().order() ); in apply() local
105 computeL2Projection( entity, quadrature, localFunction, localDofVector ); in apply()
110 Quadrature quadrature( entity, localFunction.order() + basisFunctionSet().order() ); in apply() local
111 computeL2Projection( entity, quadrature, localFunction, localDofVector ); in apply()
120 const QuadImpl& quadrature, in computeL2Projection() argument
126 const int nop = quadrature.nop(); in computeL2Projection()
131 localFunction.evaluateQuadrature( quadrature, values_ ); in computeL2Projection()
135 for(auto qp : quadrature ) in computeL2Projection()
139 basisFunctionSet().axpy( quadrature, values_, localDofVector ); in computeL2Projection()
/dports/math/deal.ii/dealii-803d21ff957e349b3799cd3ef2c840bc78734305/contrib/python-bindings/tests/
H A Dquadrature_wrapper.py22 quadrature = Quadrature(dim = 3)
23 quadrature.create_gauss(n = 1);
26 for weight in quadrature.weights():
32 quadrature = Quadrature(dim = 3)
33 quadrature.create_gauss_lobatto(n = 2);
36 for weight in quadrature.weights():
/dports/math/dune-localfunctions/dune-localfunctions-f6628171b2773065ab43f97a77f47cd8c4283d8f/dune/localfunctions/utility/
H A Dl2interpolation.hh59 const Iterator end = quadrature().end(); in interpolate()
60 for( Iterator it = quadrature().begin(); it != end; ++it ) in interpolate()
86 for (auto&& qp : quadrature()) in interpolate()
102 const Quadrature &quadrature () const in quadrature() function in Dune::LocalL2InterpolationBase
108 LocalL2InterpolationBase ( const Basis &basis, const Quadrature &quadrature ) in LocalL2InterpolationBase() argument
110 quadrature_( quadrature ) in LocalL2InterpolationBase()
128 : Base(basis,quadrature) in LocalL2Interpolation()
157 : Base(basis,quadrature), in LocalL2Interpolation()
170 const Iterator end = Base::quadrature().end(); in LocalL2Interpolation()
171 for( Iterator it = Base::quadrature().begin(); it != end; ++it ) in LocalL2Interpolation()
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/dports/science/py-scipy/scipy-1.7.1/scipy/integrate/tests/
H A Dtest__quad_vec.py13 def test_quad_vec_simple(quadrature): argument
17 if quadrature == 'trapezoid' and epsabs < 1e-4:
21 kwargs = dict(epsabs=epsabs, quadrature=quadrature)
43 def test_quad_vec_simple_inf(quadrature): argument
47 if quadrature == 'trapezoid' and epsabs < 1e-4:
51 kwargs = dict(norm='max', epsabs=epsabs, quadrature=quadrature)
85 quadrature=quadrature, full_output=True)
108 def test_num_eval(quadrature): argument
114 res = quad_vec(f, 0, 1, norm='max', full_output=True, quadrature=quadrature)
171 quad_vec(f, a, b, points=points, quadrature='gk15', limit=0)
/dports/math/deal.ii/dealii-803d21ff957e349b3799cd3ef2c840bc78734305/contrib/python-bindings/source/
H A Dquadrature_wrapper.cc30 const auto quadrature = in get_points() local
33 const auto points = quadrature->get_points(); in get_points()
52 const auto quadrature = in get_weights() local
55 const auto weights = quadrature->get_weights(); in get_weights()
85 const auto quadrature = in QuadratureWrapper() local
87 quadrature_ptr = new Quadrature<2>(*quadrature); in QuadratureWrapper()
91 const auto quadrature = in QuadratureWrapper() local
93 quadrature_ptr = new Quadrature<3>(*quadrature); in QuadratureWrapper()
/dports/math/dune-fem/dune-fem-d1c625e6d51167d0cce57de6adcef21f548a8f82/dune/fem/schemes/
H A Delliptic.hh256 QuadratureType quadrature( entity, quadOrder ); in apply() local
265 uLocal.evaluate( quadrature[ pt ], vu ); in apply()
267 uLocal.jacobian( quadrature[ pt ], du ); in apply()
271 model().source( quadrature[ pt ], vu, du, avu ); in apply()
281 wLocal.axpy( quadrature[ pt ], avu, adu ); in apply()
373 QuadratureType quadrature( entity, quadOrder ); in assemble() local
374 const size_t numQuadraturePoints = quadrature.nop(); in assemble()
382 domainBaseSet.evaluateAll( quadrature[ pt ], phi ); in assemble()
383 rangeBaseSet.evaluateAll( quadrature[ pt ], rphi ); in assemble()
392 uLocal.evaluate( quadrature[ pt ], u0 ); in assemble()
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/dports/math/dune-fem/dune-fem-d1c625e6d51167d0cce57de6adcef21f548a8f82/dune/fem/function/localfunction/
H A Daverage.hh32 const Quadrature &quadrature, in applyQuadrature()
40 const int nop = quadrature.nop(); in applyQuadrature()
44 localFunction.evaluate( quadrature[ qp ], tmp ); in applyQuadrature()
45 …RangeFieldType weight = quadrature.weight( qp )*geometry.integrationElement( quadrature.point( qp … in applyQuadrature()
69 QuadratureType quadrature( entity, localFunction.order() ); in apply() local
70 … LocalAverageHelper::applyQuadrature( localFunction, entity.geometry(), quadrature, average ); in apply()
111 QuadratureType quadrature( entity, localFunction.order() ); in apply() local
112 LocalAverageHelper::applyQuadrature( localFunction, geometry, quadrature, average ); in apply()
/dports/math/R-cran-statmod/statmod/man/
H A Dgauss.quad.Rd5 \description{Calculate nodes and weights for Gaussian quadrature.}
11 …\item{kind}{kind of Gaussian quadrature, one of \code{"legendre"}, \code{"chebyshev1"}, \code{"che…
12 \item{alpha}{parameter for Jacobi or Laguerre quadrature, must be greater than -1}
13 \item{beta}{parameter for Jacobi quadrature, must be greater than -1}
25 Legendre quadrature: \code{w(x)=1} on \code{(-1,1)}.
27 Chebyshev quadrature of the 1st kind: \code{w(x)=1/sqrt(1-x^2)} on \code{(-1,1)}.
29 Chebyshev quadrature of the 2nd kind: \code{w(x)=sqrt(1-x^2)} on \code{(-1,1)}.
31 Hermite quadrature: \code{w(x)=exp(-x^2)} on \code{(-Inf,Inf)}.
33 Jacobi quadrature: \code{w(x)=(1-x)^alpha*(1+x)^beta} on \code{(-1,1)}. Note that Chebyshev quadrat…
35 Laguerre quadrature: \code{w(x)=x^alpha*exp(-x)} on \code{(0,Inf)}.
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/dports/math/dune-fem/dune-fem-d1c625e6d51167d0cce57de6adcef21f548a8f82/dune/fem/quadrature/
H A Dquadrature.hh59 QuadraturePointWrapper ( const QuadratureType &quadrature, unsigned int index ) in QuadraturePointWrapper() argument
60 : quadrature_( quadrature ), index_( index ) in QuadraturePointWrapper()
65 inline const QuadratureType &quadrature () const in quadrature() function in Dune::Fem::QuadraturePointWrapper
71 const CoordinateType &position () const { return quadrature().point( index() ); } in position()
72 const RealType &weight () const { return quadrature().weight( index() ); } in weight()
73 const LocalCoordinateType &localPosition () const { return quadrature().localPoint( index() ); } in localPosition()
119 QuadraturePointIterator ( const Quadrature &quadrature, std::size_t point ) noexcept in QuadraturePointIterator() argument
120 : quadrature_( &quadrature ), point_( point ) in QuadraturePointIterator()
123 reference operator* () const noexcept { return value_type( quadrature(), point_ ); } in operator *()
124 pointer operator-> () const noexcept { return pointer( value_type( quadrature(), point_ ) ); } in operator ->()
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/dports/science/lammps/lammps-stable_29Sep2021/doc/src/
H A Datc_mesh_quadrature.rst1 .. index:: fix_modify AtC mesh quadrature
3 fix_modify AtC mesh quadrature command
14 * mesh quadrature = name of the AtC sub-command
22 fix_modify AtC mesh quadrature face
27 (Re-)assigns the quadrature style for an existing mesh. When a mesh is
28 created its quadrature method defaults to gauss2. Use this call to

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