- void PolarSplineFEMPoissonLikeSolver < GridR , GridTheta , PolarBSplinesRTheta , SplineRThetaEvaluatorNullBound_host, IdxRangeFull >::init_nnz_per_line
+ void PolarSplineFEMPoissonLikeSolver < GridR , GridTheta , PolarBSplinesRTheta , SplineRThetaEvaluatorNullBound, IdxRangeFull >::init_nnz_per_line
(
Kokkos::View< int *, Kokkos::LayoutRight >
nnz )
diff --git a/classPolarSplineFEMPoissonLikeSolver.js b/classPolarSplineFEMPoissonLikeSolver.js
index 5ed5016a..17fdaef7 100644
--- a/classPolarSplineFEMPoissonLikeSolver.js
+++ b/classPolarSplineFEMPoissonLikeSolver.js
@@ -1,15 +1,23 @@
var classPolarSplineFEMPoissonLikeSolver =
[
+ [ "EvalDeriv1DType", "classPolarSplineFEMPoissonLikeSolver.html#structPolarSplineFEMPoissonLikeSolver_1_1EvalDeriv1DType", null ],
+ [ "EvalDeriv2DType", "classPolarSplineFEMPoissonLikeSolver.html#structPolarSplineFEMPoissonLikeSolver_1_1EvalDeriv2DType", null ],
[ "QDimRMesh", "structPolarSplineFEMPoissonLikeSolver_1_1QDimRMesh.html", null ],
[ "QDimThetaMesh", "structPolarSplineFEMPoissonLikeSolver_1_1QDimThetaMesh.html", null ],
[ "RBasisSubset", "classPolarSplineFEMPoissonLikeSolver.html#structPolarSplineFEMPoissonLikeSolver_1_1RBasisSubset", null ],
[ "RCellDim", "classPolarSplineFEMPoissonLikeSolver.html#structPolarSplineFEMPoissonLikeSolver_1_1RCellDim", null ],
[ "ThetaBasisSubset", "classPolarSplineFEMPoissonLikeSolver.html#structPolarSplineFEMPoissonLikeSolver_1_1ThetaBasisSubset", null ],
[ "ThetaCellDim", "classPolarSplineFEMPoissonLikeSolver.html#structPolarSplineFEMPoissonLikeSolver_1_1ThetaCellDim", null ],
- [ "R", "classPolarSplineFEMPoissonLikeSolver.html#a4be4b0150bea8b8972bf3400e52d1bcb", null ],
- [ "Theta", "classPolarSplineFEMPoissonLikeSolver.html#a68effe5bc79a8795c6513a38489d6813", null ],
- [ "PolarSplineFEMPoissonLikeSolver", "classPolarSplineFEMPoissonLikeSolver.html#a5a09f433677b3358cdb5fe205a003bf8", null ],
- [ "operator()", "classPolarSplineFEMPoissonLikeSolver.html#ab96025644e98f8d005f8df7f1c6506e4", null ],
- [ "operator()", "classPolarSplineFEMPoissonLikeSolver.html#a400425e0ecc5088c1c6427ce8f1e881b", null ],
- [ "init_nnz_per_line", "classPolarSplineFEMPoissonLikeSolver.html#ad6c2770cd84599b20bc3a9adc5a94c6b", null ]
+ [ "R", "classPolarSplineFEMPoissonLikeSolver.html#aea7575e5ec7f7e2a776c1677a79137d9", null ],
+ [ "Theta", "classPolarSplineFEMPoissonLikeSolver.html#a0c880f33d839cedfafdf2b3b32139417", null ],
+ [ "IdxCell", "classPolarSplineFEMPoissonLikeSolver.html#aea010ac6bec8090ec2686ad2110befd4", null ],
+ [ "PolarSplineFEMPoissonLikeSolver", "classPolarSplineFEMPoissonLikeSolver.html#a6e4d95b7b1ce10cf43579ff77b9ea88b", null ],
+ [ "fill_int_volume", "classPolarSplineFEMPoissonLikeSolver.html#a0d5abf61af4436e3bb7ee922b035447a", null ],
+ [ "compute_singular_elements", "classPolarSplineFEMPoissonLikeSolver.html#ae5645f014d26559165955e51746f3e70", null ],
+ [ "compute_overlapping_singular_elements", "classPolarSplineFEMPoissonLikeSolver.html#a36be84f08a082b52a73f5134b8f1a8e2", null ],
+ [ "compute_stencil_elements", "classPolarSplineFEMPoissonLikeSolver.html#a161e772a03b980ad5cb19bdeb6b02925", null ],
+ [ "operator()", "classPolarSplineFEMPoissonLikeSolver.html#a2ffbf750c185ff40c8a4697b3937bc63", null ],
+ [ "operator()", "classPolarSplineFEMPoissonLikeSolver.html#ac699f74359d1f9160bed57ffcf325861", null ],
+ [ "get_matrix_stencil_element", "classPolarSplineFEMPoissonLikeSolver.html#a90ab8ff1603bc0a3f36b5a0c5077de5b", null ],
+ [ "init_nnz_per_line", "classPolarSplineFEMPoissonLikeSolver.html#ad1b92b440d6e5c71e14b09d53beefd84", null ]
];
\ No newline at end of file
diff --git a/classVortexMergerEquilibria-members.html b/classVortexMergerEquilibria-members.html
index 4856fe2b..5ee7104b 100644
--- a/classVortexMergerEquilibria-members.html
+++ b/classVortexMergerEquilibria-members.html
@@ -111,7 +111,7 @@
find_equilibrium (host_t< DFieldRTheta > sigma, host_t< DFieldRTheta > phi_eq, host_t< DFieldRTheta > rho_eq, std::function< double(double const)> const &function, double const phi_max, double const tau, int count_max=25) constVortexMergerEquilibria< Mapping > inline
set_equilibrium (host_t< DFieldRTheta > rho_eq, std::function< double(double const)> function, double const phi_max, double const tau)VortexMergerEquilibria< Mapping > inline
- VortexMergerEquilibria (Mapping const &mapping, IdxRangeRTheta const &grid, SplineRThetaBuilder_host const &builder, SplineRThetaEvaluatorNullBound_host const &evaluator, PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound_host > const &poisson_solver)VortexMergerEquilibria< Mapping > inline
+ VortexMergerEquilibria (Mapping const &mapping, IdxRangeRTheta const &grid, SplineRThetaBuilder_host const &builder, SplineRThetaEvaluatorNullBound_host const &evaluator, PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound > const &poisson_solver)VortexMergerEquilibria< Mapping > inline
diff --git a/classVortexMergerEquilibria.html b/classVortexMergerEquilibria.html
index d5ae11b4..dba4f3ac 100644
--- a/classVortexMergerEquilibria.html
+++ b/classVortexMergerEquilibria.html
@@ -115,9 +115,9 @@
- VortexMergerEquilibria (Mapping const &mapping, IdxRangeRTheta const &grid, SplineRThetaBuilder_host const &builder, SplineRThetaEvaluatorNullBound_host const &evaluator, PolarSplineFEMPoissonLikeSolver < GridR , GridTheta , PolarBSplinesRTheta , SplineRThetaEvaluatorNullBound_host > const &poisson_solver)
- Instantiate a VortexMergerEquilibria .
-
+ VortexMergerEquilibria (Mapping const &mapping, IdxRangeRTheta const &grid, SplineRThetaBuilder_host const &builder, SplineRThetaEvaluatorNullBound_host const &evaluator, PolarSplineFEMPoissonLikeSolver < GridR , GridTheta , PolarBSplinesRTheta , SplineRThetaEvaluatorNullBound > const &poisson_solver)
+ Instantiate a VortexMergerEquilibria .
+
void find_equilibrium (host_t< DFieldRTheta > sigma, host_t< DFieldRTheta > phi_eq, host_t< DFieldRTheta > rho_eq, std::function< double(double const)> const &function, double const phi_max, double const tau, int count_max=25) const
Get an equilibrium.
@@ -135,8 +135,8 @@
-
-◆ VortexMergerEquilibria()
+
+◆ VortexMergerEquilibria()
@@ -173,7 +173,7 @@
- PolarSplineFEMPoissonLikeSolver < GridR , GridTheta , PolarBSplinesRTheta , SplineRThetaEvaluatorNullBound_host > const &
+ PolarSplineFEMPoissonLikeSolver < GridR , GridTheta , PolarBSplinesRTheta , SplineRThetaEvaluatorNullBound > const &
poisson_solver
diff --git a/classVortexMergerEquilibria.js b/classVortexMergerEquilibria.js
index 7e3610f0..bf3c1763 100644
--- a/classVortexMergerEquilibria.js
+++ b/classVortexMergerEquilibria.js
@@ -1,6 +1,6 @@
var classVortexMergerEquilibria =
[
- [ "VortexMergerEquilibria", "classVortexMergerEquilibria.html#a8e5ac553bd6628804db325b59ca8605d", null ],
+ [ "VortexMergerEquilibria", "classVortexMergerEquilibria.html#a3a8975ef28538c07c2a08ce9b0db3c9f", null ],
[ "find_equilibrium", "classVortexMergerEquilibria.html#ad3b9139693f6f2aeabf9355d14c7c37b", null ],
[ "set_equilibrium", "classVortexMergerEquilibria.html#afcf358db72fd433f4470facfecd25019", null ]
];
\ No newline at end of file
diff --git a/czarny__to__cartesian_8hpp_source.html b/czarny__to__cartesian_8hpp_source.html
index a5a1a05a..b6ab7bc4 100644
--- a/czarny__to__cartesian_8hpp_source.html
+++ b/czarny__to__cartesian_8hpp_source.html
@@ -431,8 +431,8 @@
KOKKOS_FUNCTION double jacobian(ddc::Coordinate< R, Theta > const &coord) const
Compute the Jacobian, the determinant of the Jacobian matrix of the mapping.
Definition czarny_to_cartesian.hpp:179
Define non periodic real R dimension.
Definition geometry.hpp:31
Define periodic real Theta dimension.
Definition geometry.hpp:42
-Define non periodic real X dimension.
Definition geometry.hpp:277
-Define non periodic real Y dimension.
Definition geometry.hpp:288
+Define non periodic real X dimension.
Definition geometry.hpp:318
+Define non periodic real Y dimension.
Definition geometry.hpp:329
diff --git a/discrete__mapping__builder_8hpp_source.html b/discrete__mapping__builder_8hpp_source.html
index 1c34b6f8..8515fed6 100644
--- a/discrete__mapping__builder_8hpp_source.html
+++ b/discrete__mapping__builder_8hpp_source.html
@@ -535,8 +535,8 @@
The type of the grid of radial points on which the new mapping will be defined.
Definition discrete_mapping_builder.hpp:228
The type of the grid of poloidal points on which the new mapping will be defined.
Definition discrete_mapping_builder.hpp:233
Define periodic real Theta dimension.
Definition geometry.hpp:42
-Define non periodic real X dimension.
Definition geometry.hpp:277
-Define non periodic real Y dimension.
Definition geometry.hpp:288
+Define non periodic real X dimension.
Definition geometry.hpp:318
+Define non periodic real Y dimension.
Definition geometry.hpp:329
diff --git a/discrete__to__cartesian_8hpp_source.html b/discrete__to__cartesian_8hpp_source.html
index 2fc21a29..0d80c704 100644
--- a/discrete__to__cartesian_8hpp_source.html
+++ b/discrete__to__cartesian_8hpp_source.html
@@ -321,8 +321,8 @@
typename SplineEvaluator::bsplines_type2 BSplineTheta
Indicate the bspline type of the second logical dimension.
Definition discrete_to_cartesian.hpp:43
Define non periodic real R dimension.
Definition geometry.hpp:31
Define periodic real Theta dimension.
Definition geometry.hpp:42
-Define non periodic real X dimension.
Definition geometry.hpp:277
-Define non periodic real Y dimension.
Definition geometry.hpp:288
+Define non periodic real X dimension.
Definition geometry.hpp:318
+Define non periodic real Y dimension.
Definition geometry.hpp:329
diff --git a/docs_DDC_in_gyselalibxx.html b/docs_DDC_in_gyselalibxx.html
index 3d599c1b..6a3929bc 100644
--- a/docs_DDC_in_gyselalibxx.html
+++ b/docs_DDC_in_gyselalibxx.html
@@ -278,10 +278,10 @@
}
-Define non periodic real X velocity dimension.
Definition geometry.hpp:300
-static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:305
-Define non periodic real X dimension.
Definition geometry.hpp:277
-static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:282
+Define non periodic real X velocity dimension.
Definition geometry.hpp:341
+static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:346
+Define non periodic real X dimension.
Definition geometry.hpp:318
+static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:323
We also need types to define the grid on which the simulation will evolve. The domain is discretised on the following grid: \([i, e]\times[x_0,...,x_N]\times[v_0,...,v_{N_v}]\). Grid types are required to define the positions of the grid points in each of the three dimensions:
The object \([x_0,...,x_N]\) is defined with a grid and will be denoted \(GridX\).
The object \([v_0,...,v_{N_v}]\) is defined with a grid and will be denoted \(GridVx\).
diff --git a/geometryRTheta_2geometry_2geometry_8hpp_source.html b/geometryRTheta_2geometry_2geometry_8hpp_source.html
index 410ba767..dd2e741f 100644
--- a/geometryRTheta_2geometry_2geometry_8hpp_source.html
+++ b/geometryRTheta_2geometry_2geometry_8hpp_source.html
@@ -261,139 +261,180 @@
-
-
- 168 using IdxR = Idx<GridR>;
- 169 using IdxTheta = Idx<GridTheta>;
- 170 using IdxRTheta = Idx<GridR, GridTheta>;
-
-
- 173 using IdxStepR = IdxStep<GridR>;
- 174 using IdxStepTheta = IdxStep<GridTheta>;
- 175 using IdxStepRTheta = IdxStep<GridR, GridTheta>;
-
-
- 178 using IdxRangeR = IdxRange<GridR>;
- 179 using IdxRangeTheta = IdxRange<GridTheta>;
- 180 using IdxRangeRTheta = IdxRange<GridR, GridTheta>;
-
- 182 using IdxRangeBSR = IdxRange<BSplinesR>;
- 183 using IdxRangeBSTheta = IdxRange<BSplinesTheta>;
- 184 using IdxRangeBSRTheta = IdxRange<BSplinesR, BSplinesTheta>;
- 185 using IdxRangeBSPolar = IdxRange<PolarBSplinesRTheta>;
-
-
-
- 189 template <
class ElementType>
- 190 using FieldMemR = FieldMem<ElementType, IdxRangeR>;
-
- 192 template <
class ElementType>
- 193 using FieldMemTheta = FieldMem<ElementType, IdxRangeTheta>;
+ 166 using SplineRThetaBuilder = ddc::SplineBuilder2D<
+ 167 Kokkos::DefaultExecutionSpace,
+ 168 typename Kokkos::DefaultExecutionSpace::memory_space,
+
+
+
+
+
+
+
+
+ 177 ddc::SplineSolver::LAPACK,
+
+
+
+ 181 using SplineRThetaEvaluatorConstBound = ddc::SplineEvaluator2D<
+ 182 Kokkos::DefaultExecutionSpace,
+ 183 typename Kokkos::DefaultExecutionSpace::memory_space,
+
+
+
+
+ 188 ddc::ConstantExtrapolationRule<R, Theta>,
+ 189 ddc::ConstantExtrapolationRule<R, Theta>,
+ 190 ddc::PeriodicExtrapolationRule<Theta>,
+ 191 ddc::PeriodicExtrapolationRule<Theta>,
+
+
- 195 template <
class ElementType>
- 196 using FieldMemRTheta = FieldMem<ElementType, IdxRangeRTheta>;
-
- 198 using DFieldMemR = FieldMemR<double>;
- 199 using DFieldMemTheta = FieldMemTheta<double>;
- 200 using DFieldMemRTheta = FieldMemRTheta<double>;
-
-
- 203 template <
class ElementType>
- 204 using FieldR = Field<ElementType, IdxRangeR>;
-
- 206 template <
class ElementType>
- 207 using FieldTheta = Field<ElementType, IdxRangeTheta>;
-
- 209 template <
class ElementType>
- 210 using FieldRTheta = Field<ElementType, IdxRangeRTheta>;
-
- 212 using DFieldR = FieldR<double>;
- 213 using DFieldTheta = FieldTheta<double>;
- 214 using DFieldRTheta = FieldRTheta<double>;
-
-
- 217 template <
class ElementType>
- 218 using ConstFieldR = ConstField<ElementType, IdxRangeR>;
-
- 220 template <
class ElementType>
- 221 using ConstFieldTheta = ConstField<ElementType, IdxRangeTheta>;
+ 195 using SplineRThetaEvaluatorNullBound = ddc::SplineEvaluator2D<
+ 196 Kokkos::DefaultExecutionSpace,
+ 197 typename Kokkos::DefaultExecutionSpace::memory_space,
+
+
+
+
+ 202 ddc::NullExtrapolationRule,
+ 203 ddc::NullExtrapolationRule,
+ 204 ddc::PeriodicExtrapolationRule<Theta>,
+ 205 ddc::PeriodicExtrapolationRule<Theta>,
+
+
+
+ 209 using IdxR = Idx<GridR>;
+ 210 using IdxTheta = Idx<GridTheta>;
+ 211 using IdxRTheta = Idx<GridR, GridTheta>;
+
+
+ 214 using IdxStepR = IdxStep<GridR>;
+ 215 using IdxStepTheta = IdxStep<GridTheta>;
+ 216 using IdxStepRTheta = IdxStep<GridR, GridTheta>;
+
+
+ 219 using IdxRangeR = IdxRange<GridR>;
+ 220 using IdxRangeTheta = IdxRange<GridTheta>;
+ 221 using IdxRangeRTheta = IdxRange<GridR, GridTheta>;
- 223 template <
class ElementType>
- 224 using ConstFieldRTheta = ConstField<ElementType, IdxRangeRTheta>;
-
- 226 using DConstFieldR = ConstFieldR<double>;
- 227 using DConstFieldTheta = ConstFieldTheta<double>;
- 228 using DConstFieldRTheta = ConstFieldRTheta<double>;
-
-
- 231 using Spline2DMem = DFieldMem<IdxRangeBSRTheta>;
- 232 using Spline2D = DField<IdxRangeBSRTheta>;
- 233 using ConstSpline2D = DConstField<IdxRangeBSRTheta>;
-
-
-
- 245 using IdxPolarBspl = Idx<PolarBSplinesRTheta>;
+ 223 using IdxRangeBSR = IdxRange<BSplinesR>;
+ 224 using IdxRangeBSTheta = IdxRange<BSplinesTheta>;
+ 225 using IdxRangeBSRTheta = IdxRange<BSplinesR, BSplinesTheta>;
+ 226 using IdxRangeBSPolar = IdxRange<PolarBSplinesRTheta>;
+
+
+
+ 230 template <
class ElementType>
+ 231 using FieldMemR = FieldMem<ElementType, IdxRangeR>;
+
+ 233 template <
class ElementType>
+ 234 using FieldMemTheta = FieldMem<ElementType, IdxRangeTheta>;
+
+ 236 template <
class ElementType>
+ 237 using FieldMemRTheta = FieldMem<ElementType, IdxRangeRTheta>;
+
+ 239 using DFieldMemR = FieldMemR<double>;
+ 240 using DFieldMemTheta = FieldMemTheta<double>;
+ 241 using DFieldMemRTheta = FieldMemRTheta<double>;
+
+
+ 244 template <
class ElementType>
+ 245 using FieldR = Field<ElementType, IdxRangeR>;
-
-
- 249 template <
class Dim1,
class Dim2>
-
-
- 252 template <
class Dim1,
class Dim2>
-
-
- 255 template <
class Dim1,
class Dim2>
-
-
-
-
- 260 template <
class Dim1,
class Dim2>
-
-
- 263 template <
class Dim1,
class Dim2>
-
-
- 266 template <
class Dim1,
class Dim2>
-
-
-
+ 247 template <
class ElementType>
+ 248 using FieldTheta = Field<ElementType, IdxRangeTheta>;
+
+ 250 template <
class ElementType>
+ 251 using FieldRTheta = Field<ElementType, IdxRangeRTheta>;
+
+ 253 using DFieldR = FieldR<double>;
+ 254 using DFieldTheta = FieldTheta<double>;
+ 255 using DFieldRTheta = FieldRTheta<double>;
+
+
+ 258 template <
class ElementType>
+ 259 using ConstFieldR = ConstField<ElementType, IdxRangeR>;
+
+ 261 template <
class ElementType>
+ 262 using ConstFieldTheta = ConstField<ElementType, IdxRangeTheta>;
+
+ 264 template <
class ElementType>
+ 265 using ConstFieldRTheta = ConstField<ElementType, IdxRangeRTheta>;
+
+ 267 using DConstFieldR = ConstFieldR<double>;
+ 268 using DConstFieldTheta = ConstFieldTheta<double>;
+ 269 using DConstFieldRTheta = ConstFieldRTheta<double>;
-
-
-
-
-
-
-
+
+
272 using Spline2DMem = DFieldMem<IdxRangeBSRTheta>;
+
273 using Spline2D = DField<IdxRangeBSRTheta>;
+
274 using ConstSpline2D = DConstField<IdxRangeBSRTheta>;
+
+
+
+
286 using IdxPolarBspl = Idx<PolarBSplinesRTheta>;
+
+
+
+
290 template <
class Dim1,
class Dim2>
+
+
+
293 template <
class Dim1,
class Dim2>
+
+
+
296 template <
class Dim1,
class Dim2>
+
+
+
+
+
301 template <
class Dim1,
class Dim2>
+
+
+
304 template <
class Dim1,
class Dim2>
+
+
+
307 template <
class Dim1,
class Dim2>
+
+
+
+
+
+
+
-
-
-
-
-
+
-
-
-
-
-
-
+
+
-
-
-
-
-
+
-
-
-
320 using CoordX = Coord<X>;
-
321 using CoordY = Coord<Y>;
-
322 using CoordXY = Coord<X, Y>;
-
-
324 using CoordVx = Coord<Vx>;
-
325 using CoordVy = Coord<Vy>;
-
A class containing all information describing polar bsplines.
Definition polar_bsplines.hpp:28
+
+
+
361 using CoordX = Coord<X>;
+
362 using CoordY = Coord<Y>;
+
363 using CoordXY = Coord<X, Y>;
+
+
365 using CoordVx = Coord<Vx>;
+
366 using CoordVy = Coord<Vy>;
+
A class containing all information describing polar bsplines.
Definition polar_bsplines.hpp:29
Pre-declaration of VectorFieldMem.
Definition vector_field_mem.hpp:54
A class which holds multiple (scalar) fields in order to represent a vector field.
Definition vector_field.hpp:64
Definition geometry.hpp:93
@@ -410,14 +451,14 @@
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:59
Define periodic real Theta velocity dimension.
Definition geometry.hpp:65
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:70
-
Define non periodic real X velocity dimension.
Definition geometry.hpp:300
-
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:305
-
Define non periodic real Y velocity dimension.
Definition geometry.hpp:311
-
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:316
-
Define non periodic real X dimension.
Definition geometry.hpp:277
-
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:282
-
Define non periodic real Y dimension.
Definition geometry.hpp:288
-
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:293
+
Define non periodic real X velocity dimension.
Definition geometry.hpp:341
+
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:346
+
Define non periodic real Y velocity dimension.
Definition geometry.hpp:352
+
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:357
+
Define non periodic real X dimension.
Definition geometry.hpp:318
+
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:323
+
Define non periodic real Y dimension.
Definition geometry.hpp:329
+
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:334
diff --git a/geometryXVx_2geometry_2geometry_8hpp_source.html b/geometryXVx_2geometry_2geometry_8hpp_source.html
index 926fa4b3..38001718 100644
--- a/geometryXVx_2geometry_2geometry_8hpp_source.html
+++ b/geometryXVx_2geometry_2geometry_8hpp_source.html
@@ -524,10 +524,10 @@
Definition geometry.hpp:94
A class which describes the real space in the temporal direction.
Definition geometry.hpp:44
static bool constexpr PERIODIC
A boolean indicating if the dimension is periodic.
Definition geometry.hpp:48
-
Define non periodic real X velocity dimension.
Definition geometry.hpp:300
-
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:305
-
Define non periodic real X dimension.
Definition geometry.hpp:277
-
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:282
+
Define non periodic real X velocity dimension.
Definition geometry.hpp:341
+
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:346
+
Define non periodic real X dimension.
Definition geometry.hpp:318
+
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:323
diff --git a/geometryXYVxVy_2geometry_2geometry_8hpp_source.html b/geometryXYVxVy_2geometry_2geometry_8hpp_source.html
index 76174abc..24e84725 100644
--- a/geometryXYVxVy_2geometry_2geometry_8hpp_source.html
+++ b/geometryXYVxVy_2geometry_2geometry_8hpp_source.html
@@ -480,14 +480,14 @@
Definition geometry.hpp:131
Definition geometry.hpp:94
Definition geometry.hpp:78
-Define non periodic real X velocity dimension.
Definition geometry.hpp:300
-static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:305
-Define non periodic real Y velocity dimension.
Definition geometry.hpp:311
-static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:316
-Define non periodic real X dimension.
Definition geometry.hpp:277
-static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:282
-Define non periodic real Y dimension.
Definition geometry.hpp:288
-static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:293
+Define non periodic real X velocity dimension.
Definition geometry.hpp:341
+static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:346
+Define non periodic real Y velocity dimension.
Definition geometry.hpp:352
+static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:357
+Define non periodic real X dimension.
Definition geometry.hpp:318
+static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:323
+Define non periodic real Y dimension.
Definition geometry.hpp:329
+static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:334
diff --git a/geometryXY_2geometry_2geometry_8hpp_source.html b/geometryXY_2geometry_2geometry_8hpp_source.html
index 31fb6264..7abca520 100644
--- a/geometryXY_2geometry_2geometry_8hpp_source.html
+++ b/geometryXY_2geometry_2geometry_8hpp_source.html
@@ -301,10 +301,10 @@
Definition geometry.hpp:61
Definition geometry.hpp:94
Definition geometry.hpp:78
-Define non periodic real X dimension.
Definition geometry.hpp:277
-static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:282
-Define non periodic real Y dimension.
Definition geometry.hpp:288
-static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:293
+Define non periodic real X dimension.
Definition geometry.hpp:318
+static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:323
+Define non periodic real Y dimension.
Definition geometry.hpp:329
+static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:334
diff --git a/inv__jacobian__o__point_8hpp_source.html b/inv__jacobian__o__point_8hpp_source.html
index bf34fe51..d3c61434 100644
--- a/inv__jacobian__o__point_8hpp_source.html
+++ b/inv__jacobian__o__point_8hpp_source.html
@@ -291,8 +291,8 @@
An operator for calculating the inverse of the Jacobian at an O-point.
Definition inv_jacobian_o_point.hpp:27
Define non periodic real R dimension.
Definition geometry.hpp:31
Define periodic real Theta dimension.
Definition geometry.hpp:42
-Define non periodic real X dimension.
Definition geometry.hpp:277
-Define non periodic real Y dimension.
Definition geometry.hpp:288
+Define non periodic real X dimension.
Definition geometry.hpp:318
+Define non periodic real Y dimension.
Definition geometry.hpp:329
diff --git a/math__tools_8hpp_source.html b/math__tools_8hpp_source.html
index 729c60fe..867f1065 100644
--- a/math__tools_8hpp_source.html
+++ b/math__tools_8hpp_source.html
@@ -197,7 +197,7 @@
91 template <
class T, std::
size_t D>
- 92 inline T dot_product(std::array<T, D>
const & a, std::array<T, D>
const & b)
+ 92 KOKKOS_INLINE_FUNCTION
T dot_product(std::array<T, D>
const & a, std::array<T, D>
const & b)
95 for (std::size_t i(0); i < D; ++i) {
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index 14f6a341..93542aae 100644
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index 4530dd69..6e8e3014 100644
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index 824ec73c..0b56fc3e 100644
--- a/navtreeindex5.js
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index 0cbd041c..a784cde7 100644
--- a/navtreeindex6.js
+++ b/navtreeindex6.js
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index aae83532..dce1ac4c 100644
--- a/onion__patch__locator_8hpp_source.html
+++ b/onion__patch__locator_8hpp_source.html
@@ -321,8 +321,8 @@
Define non periodic real R dimension.
Definition geometry.hpp:31
Define periodic real Theta dimension.
Definition geometry.hpp:42
static bool constexpr PERIODIC
Define periodicity of the dimension.
Definition geometry.hpp:47
-Define non periodic real X dimension.
Definition geometry.hpp:277
-Define non periodic real Y dimension.
Definition geometry.hpp:288
+Define non periodic real X dimension.
Definition geometry.hpp:318
+Define non periodic real Y dimension.
Definition geometry.hpp:329
diff --git a/polar__bsplines_8hpp_source.html b/polar__bsplines_8hpp_source.html
index 2a9f9948..7a38ba1b 100644
--- a/polar__bsplines_8hpp_source.html
+++ b/polar__bsplines_8hpp_source.html
@@ -115,604 +115,606 @@
7 #include <sll/bernstein.hpp>
8 #include <sll/mapping/cartesian_to_barycentric.hpp>
9 #include <sll/mapping/discrete_to_cartesian.hpp>
- 10 #include <sll/polar_spline.hpp>
- 11 #include <sll/view.hpp>
-
- 26 template <
class BSplinesR,
class BSplinesTheta,
int C>
-
-
-
-
29 static_assert (C >= -1,
"Parameter `C` cannot be less than -1" );
-
30 static_assert (C < 2,
"Values larger than 1 are not implemented for parameter `C`" );
-
31 static_assert (!BSplinesR::is_periodic(),
"Radial bsplines must not be periodic." );
-
32 static_assert (!BSplinesR::is_uniform(),
"Radial bsplines must have knots at the boundary." );
-
33 static_assert (BSplinesTheta::is_periodic(),
"Poloidal bsplines should be periodic." );
-
-
-
-
-
-
-
-
41 struct eval_deriv_type
-
-
-
-
-
-
-
-
+
10 #include <sll/mapping/mapping_tools.hpp>
+
11 #include <sll/polar_spline.hpp>
+
12 #include <sll/view.hpp>
+
+
27 template <
class BSplinesR,
class BSplinesTheta,
int C>
+
+
+
+
30 static_assert (C >= -1,
"Parameter `C` cannot be less than -1" );
+
31 static_assert (C < 2,
"Values larger than 1 are not implemented for parameter `C`" );
+
32 static_assert (!BSplinesR::is_periodic(),
"Radial bsplines must not be periodic." );
+
33 static_assert (!BSplinesR::is_uniform(),
"Radial bsplines must have knots at the boundary." );
+
34 static_assert (BSplinesTheta::is_periodic(),
"Poloidal bsplines should be periodic." );
+
+
+
+
+
+
+
+
42 struct eval_deriv_type
+
+
+
+
+
+
+
-
54 using DimR =
typename BSplinesR::continuous_dimension_type;
-
-
57 using DimTheta =
typename BSplinesTheta::continuous_dimension_type;
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
92 using IdxR = ddc::DiscreteElement<BSplinesR>;
-
93 using IdxTheta = ddc::DiscreteElement<BSplinesTheta>;
-
94 using IdxStepR = ddc::DiscreteVector<BSplinesR>;
-
95 using IdxStepTheta = ddc::DiscreteVector<BSplinesTheta>;
-
-
-
-
-
-
105 return (C + 1) * (C + 2) / 2;
-
-
-
+
+
55 using DimR =
typename BSplinesR::continuous_dimension_type;
+
+
58 using DimTheta =
typename BSplinesTheta::continuous_dimension_type;
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
93 using IdxR = ddc::DiscreteElement<BSplinesR>;
+
94 using IdxTheta = ddc::DiscreteElement<BSplinesTheta>;
+
95 using IdxStepR = ddc::DiscreteVector<BSplinesR>;
+
96 using IdxStepTheta = ddc::DiscreteVector<BSplinesTheta>;
+
+
+
+
+
+
106 return (C + 1) * (C + 2) / 2;
+
+
-
116 template <
class DDim>
-
-
-
-
119 return ddc::DiscreteDomain<DDim>(
-
120 ddc::DiscreteElement<DDim> {0},
-
-
-
-
-
132 template <
class DDim>
-
-
-
-
-
136 int const r_idx = ddc::select<BSplinesR>(idx).uid();
-
137 int const theta_idx = ddc::select<BSplinesTheta>(idx).uid();
-
138 assert(r_idx >= C + 1);
-
139 int local_idx((r_idx - C - 1) * ddc::discrete_space<BSplinesTheta>().nbasis() + theta_idx);
-
-
-
-
-
151 template <
class DDim>
-
-
-
-
-
-
-
157 int const r_idx = idx_2d / ddc::discrete_space<BSplinesTheta>().nbasis();
-
158 int const theta_idx = idx_2d - r_idx * ddc::discrete_space<BSplinesTheta>().nbasis();
-
159 ddc::DiscreteElement<BSplinesR> r_idx_elem(r_idx + C + 1);
-
160 ddc::DiscreteElement<BSplinesTheta> theta_idx_elem(theta_idx);
-
161 return ddc::DiscreteElement<BSplinesR, BSplinesTheta>(r_idx_elem, theta_idx_elem);
-
-
-
-
-
171 template <
class DDim,
class MemorySpace>
-
-
-
-
174 template <
class ODDim,
class OMemorySpace>
-
-
-
177 template <
class ExecSpace,
class PBSpl,
class OMemorySpace>
-
-
179 ExecSpace
const & execution_space,
-
-
-
-
191 using singular_basis_linear_combination_idx_range_type
-
192 = ddc::DiscreteDomain<DDim, BSplinesR, BSplinesTheta>;
-
-
-
-
196 singular_basis_linear_combination_idx_range_type,
-
197 ddc::KokkosAllocator<double, MemorySpace>>
-
198 m_singular_basis_elements_alloc;
-
-
-
-
202 singular_basis_linear_combination_idx_range_type,
-
203 Kokkos::layout_right,
-
-
205 m_singular_basis_elements;
-
-
-
-
-
-
-
221 template <
class DiscreteMapping>
-
-
-
-
224 typename DiscreteMapping::cartesian_tag_x,
-
225 typename DiscreteMapping::cartesian_tag_y,
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
252 template <
class DiscreteMapping>
-
-
253 Impl (
const DiscreteMapping& curvilinear_to_cartesian)
-
-
255 static_assert (std::is_same_v<MemorySpace, Kokkos::HostSpace>);
-
256 using DimX =
typename DiscreteMapping::cartesian_tag_x;
-
257 using DimY =
typename DiscreteMapping::cartesian_tag_y;
-
258 using mapping_tensor_product_index_type = ddc::DiscreteElement<
-
259 typename DiscreteMapping::BSplineR,
-
260 typename DiscreteMapping::BSplineTheta>;
-
261 if constexpr (C > -1) {
-
262 const ddc::Coordinate<DimX, DimY> pole
-
263 = curvilinear_to_cartesian(ddc::Coordinate<DimR, DimTheta>(0.0, 0.0));
-
264 const double x0 = ddc::get<DimX>(pole);
-
265 const double y0 = ddc::get<DimY>(pole);
-
-
267 for (std::size_t i(0); i < ddc::discrete_space<BSplinesTheta>().size(); ++i) {
-
268 const ddc::Coordinate<DimX, DimY> point
-
269 = curvilinear_to_cartesian.control_point(
-
270 mapping_tensor_product_index_type(1, i));
-
-
272 const double c_x = ddc::get<DimX>(point);
-
273 const double c_y = ddc::get<DimY>(point);
-
-
275 double tau1 = -2.0 * (c_x - x0);
-
276 double tau2 = c_x - x0 - sqrt(3.0) * (c_y - y0);
-
277 double tau3 = c_x - x0 + sqrt(3.0) * (c_y - y0);
-
278 tau = tau > tau1 ? tau : tau1;
-
279 tau = tau > tau2 ? tau : tau2;
-
280 tau = tau > tau3 ? tau : tau3;
-
-
-
283 const ddc::Coordinate<DimX, DimY> corner1(x0 + tau, y0);
-
284 const ddc::Coordinate<DimX, DimY>
-
285 corner2(x0 - 0.5 * tau, y0 + 0.5 * tau * sqrt(3.0));
+
+
117 template <
class DDim>
+
+
+
+
120 return ddc::DiscreteDomain<DDim>(
+
121 ddc::DiscreteElement<DDim> {0},
+
+
+
+
+
133 template <
class DDim>
+
+
+
+
+
137 int const r_idx = ddc::select<BSplinesR>(idx).uid();
+
138 int const theta_idx = ddc::select<BSplinesTheta>(idx).uid();
+
139 assert(r_idx >= C + 1);
+
140 int local_idx((r_idx - C - 1) * ddc::discrete_space<BSplinesTheta>().nbasis() + theta_idx);
+
+
+
+
+
152 template <
class DDim>
+
+
+
+
+
+
+
158 int const r_idx = idx_2d / ddc::discrete_space<BSplinesTheta>().nbasis();
+
159 int const theta_idx = idx_2d - r_idx * ddc::discrete_space<BSplinesTheta>().nbasis();
+
160 ddc::DiscreteElement<BSplinesR> r_idx_elem(r_idx + C + 1);
+
161 ddc::DiscreteElement<BSplinesTheta> theta_idx_elem(theta_idx);
+
162 return ddc::DiscreteElement<BSplinesR, BSplinesTheta>(r_idx_elem, theta_idx_elem);
+
+
+
+
+
172 template <
class DDim,
class MemorySpace>
+
+
+
+
175 template <
class ODDim,
class OMemorySpace>
+
+
+
178 template <
class ExecSpace,
class PBSpl,
class OMemorySpace>
+
+
180 ExecSpace
const & execution_space,
+
+
+
+
192 using singular_basis_linear_combination_idx_range_type
+
193 = ddc::DiscreteDomain<DDim, BSplinesR, BSplinesTheta>;
+
+
+
+
197 singular_basis_linear_combination_idx_range_type,
+
198 ddc::KokkosAllocator<double, MemorySpace>>
+
199 m_singular_basis_elements_alloc;
+
+
+
+
203 singular_basis_linear_combination_idx_range_type,
+
204 Kokkos::layout_right,
+
+
206 m_singular_basis_elements;
+
+
+
+
+
+
+
222 template <
class DiscreteMapping>
+
+
+
+
225 typename DiscreteMapping::cartesian_tag_x,
+
226 typename DiscreteMapping::cartesian_tag_y,
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
253 template <
class DiscreteMapping>
+
+
254 Impl (
const DiscreteMapping& curvilinear_to_cartesian)
+
+
256 static_assert (is_accessible_v<Kokkos::DefaultHostExecutionSpace, DiscreteMapping>);
+
257 static_assert (std::is_same_v<MemorySpace, Kokkos::HostSpace>);
+
258 using DimX =
typename DiscreteMapping::cartesian_tag_x;
+
259 using DimY =
typename DiscreteMapping::cartesian_tag_y;
+
260 using mapping_tensor_product_index_type = ddc::DiscreteElement<
+
261 typename DiscreteMapping::BSplineR,
+
262 typename DiscreteMapping::BSplineTheta>;
+
263 if constexpr (C > -1) {
+
264 const ddc::Coordinate<DimX, DimY> pole
+
265 = curvilinear_to_cartesian(ddc::Coordinate<DimR, DimTheta>(0.0, 0.0));
+
266 const double x0 = ddc::get<DimX>(pole);
+
267 const double y0 = ddc::get<DimY>(pole);
+
+
269 for (std::size_t i(0); i < ddc::discrete_space<BSplinesTheta>().size(); ++i) {
+
270 const ddc::Coordinate<DimX, DimY> point
+
271 = curvilinear_to_cartesian.control_point(
+
272 mapping_tensor_product_index_type(1, i));
+
+
274 const double c_x = ddc::get<DimX>(point);
+
275 const double c_y = ddc::get<DimY>(point);
+
+
277 double tau1 = -2.0 * (c_x - x0);
+
278 double tau2 = c_x - x0 - sqrt(3.0) * (c_y - y0);
+
279 double tau3 = c_x - x0 + sqrt(3.0) * (c_y - y0);
+
280 tau = tau > tau1 ? tau : tau1;
+
281 tau = tau > tau2 ? tau : tau2;
+
282 tau = tau > tau3 ? tau : tau3;
+
+
+
285 const ddc::Coordinate<DimX, DimY> corner1(x0 + tau, y0);
286 const ddc::Coordinate<DimX, DimY>
-
287 corner3(x0 - 0.5 * tau, y0 - 0.5 * tau * sqrt(3.0));
-
-
-
290 barycentric_coordinate_converter(corner1, corner2, corner3);
-
-
+
287 corner2(x0 - 0.5 * tau, y0 + 0.5 * tau * sqrt(3.0));
+
288 const ddc::Coordinate<DimX, DimY>
+
289 corner3(x0 - 0.5 * tau, y0 - 0.5 * tau * sqrt(3.0));
+
+
+
292 barycentric_coordinate_converter(corner1, corner2, corner3);
-
294 ddc::init_discrete_space<BernsteinBasis>(barycentric_coordinate_converter);
+
-
-
297 constexpr IdxStepR nr_in_singular(C + 1);
-
298 assert(nr_in_singular.value() <
int (ddc::discrete_space<BSplinesR>().size()));
-
-
-
301 const IdxStepTheta np_in_singular(ddc::discrete_space<BSplinesTheta>().
nbasis ());
-
-
-
-
305 const IdxStepTheta np_tot(ddc::discrete_space<BSplinesTheta>().size());
-
-
-
-
-
-
-
-
-
314 m_singular_basis_elements_alloc
-
315 = ddc::Chunk<double, singular_basis_linear_combination_idx_range_type>(
-
316 singular_basis_linear_combination_idx_range_type(
-
317 singular_idx_range<DDim>(),
-
318 dom_bsplines_inner));
-
319 m_singular_basis_elements = m_singular_basis_elements_alloc.span_view();
-
-
321 ddc::DiscreteDomain<BernsteinBasis> bernstein_idx_range(
-
322 ddc::DiscreteElement<BernsteinBasis> {0},
-
-
-
325 ddc::DiscreteDomain<BSplinesTheta> poloidal_spline_idx_range
-
326 = ddc::discrete_space<BSplinesTheta>().full_domain();
-
-
328 for (IdxR
const ir : ddc::DiscreteDomain<BSplinesR>(IdxR(0), IdxStepR(C + 1))) {
-
329 for (IdxTheta
const ip : poloidal_spline_idx_range.take_first(np_in_singular)) {
-
330 const ddc::Coordinate<DimX, DimY> point
-
331 = curvilinear_to_cartesian.control_point(
-
332 mapping_tensor_product_index_type(ir, ip));
-
333 ddc::Chunk<double, ddc::DiscreteDomain<BernsteinBasis>> bernstein_vals(
-
334 bernstein_idx_range);
-
335 ddc::discrete_space<BernsteinBasis>()
-
336 .eval_basis(bernstein_vals.span_view(), point);
-
-
338 for (
auto k : bernstein_idx_range) {
-
-
-
-
-
-
344 for (IdxTheta
const ip : poloidal_spline_idx_range.take_first(
-
345 IdxStepTheta {BSplinesTheta::degree()})) {
-
346 m_singular_basis_elements(k, ir, ip + np_in_singular)
-
347 = m_singular_basis_elements(k, ir, ip);
-
-
-
-
-
-
-
-
-
356 m_singular_basis_elements_alloc
-
357 = ddc::Chunk<double, singular_basis_linear_combination_idx_range_type>(
-
358 singular_basis_linear_combination_idx_range_type(
-
359 singular_idx_range<DDim>(),
-
360 empty_dom_bsplines));
-
361 m_singular_basis_elements = m_singular_basis_elements_alloc.span_view();
-
-
-
-
-
370 template <
class OriginMemorySpace>
-
-
-
372 : m_singular_basis_elements_alloc(impl.m_singular_basis_elements.domain())
-
-
374 m_singular_basis_elements = m_singular_basis_elements_alloc.span_view();
-
375 ddc::parallel_deepcopy(m_singular_basis_elements, impl.m_singular_basis_elements);
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
432 DSpan1D singular_values,
-
-
434 ddc::Coordinate<DimR, DimTheta> p)
const ;
-
-
-
-
453 DSpan1D singular_derivs,
-
-
455 ddc::Coordinate<DimR, DimTheta> p)
const ;
-
-
-
-
474 DSpan1D singular_derivs,
-
-
476 ddc::Coordinate<DimR, DimTheta> p)
const ;
-
-
-
-
496 DSpan1D singular_derivs,
-
-
498 ddc::Coordinate<DimR, DimTheta> p)
const ;
-
-
505 template <
class MemorySpace2>
-
-
506 [[deprecated(
"Use `integrals` instead" )]]
void integrals(
-
-
-
-
-
-
516 std::size_t nr = ddc::discrete_space<BSplinesR>().nbasis() - C - 1;
-
517 std::size_t ntheta = ddc::discrete_space<BSplinesTheta>().nbasis();
-
-
-
-
-
-
-
-
-
-
544 template <
class EvalTypeR,
class EvalTypeTheta>
-
545 ddc::DiscreteElement<BSplinesR, BSplinesTheta> eval(
-
546 DSpan1D singular_values,
-
-
548 ddc::Coordinate<DimR, DimTheta> coord_eval,
-
-
550 EvalTypeTheta
const )
const ;
-
-
-
-
554 template <
class BSplinesR,
class BSplinesTheta,
int C>
-
555 template <
class DDim,
class MemorySpace>
-
-
-
-
558 DSpan1D singular_values,
-
-
560 ddc::Coordinate<DimR, DimTheta> p)
const
-
-
562 return eval(singular_values, values, p, eval_type(), eval_type());
-
-
-
-
565 template <
class BSplinesR,
class BSplinesTheta,
int C>
-
566 template <
class DDim,
class MemorySpace>
-
-
-
-
569 DSpan1D singular_derivs,
-
-
571 ddc::Coordinate<DimR, DimTheta> p)
const
-
-
573 return eval(singular_derivs, derivs, p, eval_deriv_type(), eval_type());
-
-
-
-
576 template <
class BSplinesR,
class BSplinesTheta,
int C>
-
577 template <
class DDim,
class MemorySpace>
-
-
-
-
580 DSpan1D singular_derivs,
-
-
582 ddc::Coordinate<DimR, DimTheta> p)
const
-
-
584 return eval(singular_derivs, derivs, p, eval_type(), eval_deriv_type());
-
-
-
-
587 template <
class BSplinesR,
class BSplinesTheta,
int C>
-
588 template <
class DDim,
class MemorySpace>
-
-
-
-
591 DSpan1D singular_derivs,
-
-
593 ddc::Coordinate<DimR, DimTheta> p)
const
-
-
595 return eval(singular_derivs, derivs, p, eval_deriv_type(), eval_deriv_type());
-
-
-
-
598 template <
class BSplinesR,
class BSplinesTheta,
int C>
-
599 template <
class DDim,
class MemorySpace>
-
600 template <
class EvalTypeR,
class EvalTypeTheta>
-
-
-
603 DSpan1D singular_values,
-
-
605 ddc::Coordinate<DimR, DimTheta> coord_eval,
-
-
607 EvalTypeTheta
const )
const
-
-
609 assert(singular_values.extent(0) == n_singular_basis());
-
610 assert(values.extent(0) == BSplinesR::degree() + 1);
-
611 assert(values.extent(1) == BSplinesTheta::degree() + 1);
-
-
613 std::is_same_v<EvalTypeR, eval_type> || std::is_same_v<EvalTypeR, eval_deriv_type>);
+
296 ddc::init_discrete_space<BernsteinBasis>(barycentric_coordinate_converter);
+
+
+
299 constexpr IdxStepR nr_in_singular(C + 1);
+
300 assert(nr_in_singular.value() <
int (ddc::discrete_space<BSplinesR>().size()));
+
+
+
303 const IdxStepTheta np_in_singular(ddc::discrete_space<BSplinesTheta>().
nbasis ());
+
+
+
+
307 const IdxStepTheta np_tot(ddc::discrete_space<BSplinesTheta>().size());
+
+
+
+
+
+
+
+
+
316 m_singular_basis_elements_alloc
+
317 = ddc::Chunk<double, singular_basis_linear_combination_idx_range_type>(
+
318 singular_basis_linear_combination_idx_range_type(
+
319 singular_idx_range<DDim>(),
+
320 dom_bsplines_inner));
+
321 m_singular_basis_elements = m_singular_basis_elements_alloc.span_view();
+
+
323 ddc::DiscreteDomain<BernsteinBasis> bernstein_idx_range(
+
324 ddc::DiscreteElement<BernsteinBasis> {0},
+
+
+
327 ddc::DiscreteDomain<BSplinesTheta> poloidal_spline_idx_range
+
328 = ddc::discrete_space<BSplinesTheta>().full_domain();
+
+
330 for (IdxR
const ir : ddc::DiscreteDomain<BSplinesR>(IdxR(0), IdxStepR(C + 1))) {
+
331 for (IdxTheta
const ip : poloidal_spline_idx_range.take_first(np_in_singular)) {
+
332 const ddc::Coordinate<DimX, DimY> point
+
333 = curvilinear_to_cartesian.control_point(
+
334 mapping_tensor_product_index_type(ir, ip));
+
335 ddc::Chunk<double, ddc::DiscreteDomain<BernsteinBasis>> bernstein_vals(
+
336 bernstein_idx_range);
+
337 ddc::discrete_space<BernsteinBasis>()
+
338 .eval_basis(bernstein_vals.span_view(), point);
+
+
340 for (
auto k : bernstein_idx_range) {
+
+
+
+
+
+
346 for (IdxTheta
const ip : poloidal_spline_idx_range.take_first(
+
347 IdxStepTheta {BSplinesTheta::degree()})) {
+
348 m_singular_basis_elements(k, ir, ip + np_in_singular)
+
349 = m_singular_basis_elements(k, ir, ip);
+
+
+
+
+
+
+
+
+
358 m_singular_basis_elements_alloc
+
359 = ddc::Chunk<double, singular_basis_linear_combination_idx_range_type>(
+
360 singular_basis_linear_combination_idx_range_type(
+
361 singular_idx_range<DDim>(),
+
362 empty_dom_bsplines));
+
363 m_singular_basis_elements = m_singular_basis_elements_alloc.span_view();
+
+
+
+
+
372 template <
class OriginMemorySpace>
+
+
+
374 : m_singular_basis_elements_alloc(impl.m_singular_basis_elements.domain())
+
+
376 m_singular_basis_elements = m_singular_basis_elements_alloc.span_view();
+
377 ddc::parallel_deepcopy(m_singular_basis_elements, impl.m_singular_basis_elements);
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
434 DSpan1D singular_values,
+
+
436 ddc::Coordinate<DimR, DimTheta> p)
const ;
+
+
+
+
455 DSpan1D singular_derivs,
+
+
457 ddc::Coordinate<DimR, DimTheta> p)
const ;
+
+
+
+
476 DSpan1D singular_derivs,
+
+
478 ddc::Coordinate<DimR, DimTheta> p)
const ;
+
+
+
+
498 DSpan1D singular_derivs,
+
+
500 ddc::Coordinate<DimR, DimTheta> p)
const ;
+
+
507 template <
class MemorySpace2>
+
+
508 [[deprecated(
"Use `integrals` instead" )]]
void integrals(
+
+
+
+
+
+
518 std::size_t nr = ddc::discrete_space<BSplinesR>().nbasis() - C - 1;
+
519 std::size_t ntheta = ddc::discrete_space<BSplinesTheta>().nbasis();
+
+
+
+
+
+
+
+
+
+
546 template <
class EvalTypeR,
class EvalTypeTheta>
+
547 ddc::DiscreteElement<BSplinesR, BSplinesTheta> eval(
+
548 DSpan1D singular_values,
+
+
550 ddc::Coordinate<DimR, DimTheta> coord_eval,
+
+
552 EvalTypeTheta
const )
const ;
+
+
+
+
556 template <
class BSplinesR,
class BSplinesTheta,
int C>
+
557 template <
class DDim,
class MemorySpace>
+
+
+
+
560 DSpan1D singular_values,
+
+
562 ddc::Coordinate<DimR, DimTheta> p)
const
+
+
564 return eval(singular_values, values, p, eval_type(), eval_type());
+
+
+
+
567 template <
class BSplinesR,
class BSplinesTheta,
int C>
+
568 template <
class DDim,
class MemorySpace>
+
+
+
+
571 DSpan1D singular_derivs,
+
+
573 ddc::Coordinate<DimR, DimTheta> p)
const
+
+
575 return eval(singular_derivs, derivs, p, eval_deriv_type(), eval_type());
+
+
+
+
578 template <
class BSplinesR,
class BSplinesTheta,
int C>
+
579 template <
class DDim,
class MemorySpace>
+
+
+
+
582 DSpan1D singular_derivs,
+
+
584 ddc::Coordinate<DimR, DimTheta> p)
const
+
+
586 return eval(singular_derivs, derivs, p, eval_type(), eval_deriv_type());
+
+
+
+
589 template <
class BSplinesR,
class BSplinesTheta,
int C>
+
590 template <
class DDim,
class MemorySpace>
+
+
+
+
593 DSpan1D singular_derivs,
+
+
595 ddc::Coordinate<DimR, DimTheta> p)
const
+
+
597 return eval(singular_derivs, derivs, p, eval_deriv_type(), eval_deriv_type());
+
+
+
+
600 template <
class BSplinesR,
class BSplinesTheta,
int C>
+
601 template <
class DDim,
class MemorySpace>
+
602 template <
class EvalTypeR,
class EvalTypeTheta>
+
+
+
605 DSpan1D singular_values,
+
+
607 ddc::Coordinate<DimR, DimTheta> coord_eval,
+
+
609 EvalTypeTheta
const )
const
+
+
611 assert(singular_values.extent(0) == n_singular_basis());
+
612 assert(values.extent(0) == BSplinesR::degree() + 1);
+
613 assert(values.extent(1) == BSplinesTheta::degree() + 1);
-
-
-
617 eval_type> || std::is_same_v<EvalTypeTheta, eval_deriv_type>);
-
-
619 ddc::DiscreteElement<BSplinesR> jmin_r;
-
620 ddc::DiscreteElement<BSplinesTheta> jmin_theta;
-
-
622 std::size_t
constexpr nr = BSplinesR::degree() + 1;
-
623 std::size_t
constexpr ntheta = BSplinesTheta::degree() + 1;
-
-
625 std::array<double, nr> vals_r_ptr;
-
626 std::array<double, ntheta> vals_theta_ptr;
-
627 DSpan1D
const vals_r(vals_r_ptr.data(), nr);
-
628 DSpan1D
const vals_theta(vals_theta_ptr.data(), ntheta);
-
-
630 if constexpr (std::is_same_v<EvalTypeR, eval_type>) {
-
631 jmin_r = ddc::discrete_space<BSplinesR>().eval_basis(vals_r, ddc::select<DimR>(coord_eval));
-
632 }
else if constexpr (std::is_same_v<EvalTypeR, eval_deriv_type>) {
-
633 jmin_r = ddc::discrete_space<BSplinesR>().eval_deriv(vals_r, ddc::select<DimR>(coord_eval));
-
-
635 if constexpr (std::is_same_v<EvalTypeTheta, eval_type>) {
-
636 jmin_theta = ddc::discrete_space<BSplinesTheta>()
-
637 .eval_basis(vals_theta, ddc::select<DimTheta>(coord_eval));
-
638 }
else if constexpr (std::is_same_v<EvalTypeTheta, eval_deriv_type>) {
-
639 jmin_theta = ddc::discrete_space<BSplinesTheta>()
-
640 .eval_deriv(vals_theta, ddc::select<DimTheta>(coord_eval));
-
-
-
643 std::size_t nr_done = 0;
+
615 std::is_same_v<EvalTypeR, eval_type> || std::is_same_v<EvalTypeR, eval_deriv_type>);
+
+
+
+
619 eval_type> || std::is_same_v<EvalTypeTheta, eval_deriv_type>);
+
+
621 ddc::DiscreteElement<BSplinesR> jmin_r;
+
622 ddc::DiscreteElement<BSplinesTheta> jmin_theta;
+
+
624 std::size_t
constexpr nr = BSplinesR::degree() + 1;
+
625 std::size_t
constexpr ntheta = BSplinesTheta::degree() + 1;
+
+
627 std::array<double, nr> vals_r_ptr;
+
628 std::array<double, ntheta> vals_theta_ptr;
+
629 DSpan1D
const vals_r(vals_r_ptr.data(), nr);
+
630 DSpan1D
const vals_theta(vals_theta_ptr.data(), ntheta);
+
+
632 if constexpr (std::is_same_v<EvalTypeR, eval_type>) {
+
633 jmin_r = ddc::discrete_space<BSplinesR>().eval_basis(vals_r, ddc::select<DimR>(coord_eval));
+
634 }
else if constexpr (std::is_same_v<EvalTypeR, eval_deriv_type>) {
+
635 jmin_r = ddc::discrete_space<BSplinesR>().eval_deriv(vals_r, ddc::select<DimR>(coord_eval));
+
+
637 if constexpr (std::is_same_v<EvalTypeTheta, eval_type>) {
+
638 jmin_theta = ddc::discrete_space<BSplinesTheta>()
+
639 .eval_basis(vals_theta, ddc::select<DimTheta>(coord_eval));
+
640 }
else if constexpr (std::is_same_v<EvalTypeTheta, eval_deriv_type>) {
+
641 jmin_theta = ddc::discrete_space<BSplinesTheta>()
+
642 .eval_deriv(vals_theta, ddc::select<DimTheta>(coord_eval));
+
-
645 if (jmin_r.uid() < C + 1) {
-
646 nr_done = C + 1 - jmin_r.uid();
-
647 for (discrete_element_type k : singular_idx_range<DDim>()) {
-
648 singular_values(k.uid()) = 0.0;
-
649 for (std::size_t i(0); i < nr_done; ++i) {
-
650 for (std::size_t j(0); j < ntheta; ++j) {
-
651 singular_values(k.uid())
-
652 += m_singular_basis_elements(k, jmin_r + i, jmin_theta + j) * vals_r[i]
-
-
-
-
-
-
658 for (std::size_t k(0); k < n_singular_basis(); ++k) {
-
659 singular_values(k) = 0.0;
-
-
-
-
663 for (std::size_t i(0); i < nr - nr_done; ++i) {
-
664 for (std::size_t j(0); j < ntheta; ++j) {
-
665 values(i, j) = vals_r[i + nr_done] * vals_theta[j];
-
-
-
668 for (std::size_t i(nr - nr_done); i < nr; ++i) {
-
669 for (std::size_t j(0); j < ntheta; ++j) {
-
-
-
-
673 return ddc::DiscreteElement<BSplinesR, BSplinesTheta>(jmin_r, jmin_theta);
-
-
-
676 template <
class ExecSpace,
class DDim,
class MemorySpace>
-
-
678 ExecSpace
const & execution_space,
-
-
-
-
682 Kokkos::SpaceAccessibility<ExecSpace, MemorySpace>::accessible,
-
683 "MemorySpace has to be accessible for ExecutionSpace." );
-
684 using BSplinesR =
typename DDim::BSplinesR_tag;
-
-
686 using tensor_product_idx_range_type = ddc::DiscreteDomain<BSplinesR, BSplinesTheta>;
-
687 using tensor_product_idx_type = ddc::DiscreteElement<BSplinesR, BSplinesTheta>;
-
688 using IdxR = ddc::DiscreteElement<BSplinesR>;
-
689 using IdxTheta = ddc::DiscreteElement<BSplinesTheta>;
-
-
691 auto r_bspl_space = ddc::discrete_space<BSplinesR>();
-
692 auto theta_bspl_space = ddc::discrete_space<BSplinesTheta>();
-
-
-
695 assert(int_vals.
spline_coef .domain().front().template uid<BSplinesR>() == DDim::continuity + 1);
-
696 assert(int_vals.
spline_coef .domain().back().template uid<BSplinesR>()
-
697 == r_bspl_space.nbasis() - 1);
-
698 assert(int_vals.
spline_coef .domain().template extent<BSplinesTheta>()
-
699 == theta_bspl_space.nbasis()
-
700 || int_vals.
spline_coef .domain().template extent<BSplinesTheta>()
-
701 == theta_bspl_space.size());
-
-
703 ddc::Chunk<double, ddc::DiscreteDomain<BSplinesR>, ddc::KokkosAllocator<double, MemorySpace>>
-
704 r_integrals_alloc(r_bspl_space.full_domain().take_first(
-
705 ddc::DiscreteVector<BSplinesR> {r_bspl_space.nbasis()}));
-
-
-
708 ddc::DiscreteDomain<BSplinesTheta>,
-
709 ddc::KokkosAllocator<double, MemorySpace>>
-
710 theta_integrals_alloc(theta_bspl_space.full_domain().take_first(
-
711 ddc::DiscreteVector<BSplinesTheta> {theta_bspl_space.size()}));
-
712 ddc::ChunkSpan r_integrals = r_integrals_alloc.span_view();
-
713 ddc::ChunkSpan theta_integrals = theta_integrals_alloc.span_view();
-
-
715 ddc::integrals(execution_space, r_integrals);
-
716 ddc::integrals(execution_space, theta_integrals);
-
-
718 ddc::DiscreteDomain<BSplinesR, BSplinesTheta> singular_2d_idx_range(
-
719 ddc::discrete_space<DDim>().m_singular_basis_elements.domain());
-
-
-
722 ddc::DiscreteDomain<DDim> singular_idx_range = DDim::template singular_idx_range<DDim>();
-
723 Kokkos::parallel_for(
-
724 Kokkos::TeamPolicy<>(execution_space, singular_idx_range.size(), Kokkos::AUTO),
-
725 KOKKOS_LAMBDA(
const Kokkos::TeamPolicy<>::member_type& team) {
-
726 const int idx = team.league_rank();
-
727 ddc::DiscreteElement<DDim> k(idx);
-
-
-
-
731 Kokkos::parallel_reduce(
-
732 Kokkos::TeamThreadMDRange(
-
-
734 singular_2d_idx_range.template extent<BSplinesR>().value(),
-
735 singular_2d_idx_range.template extent<BSplinesTheta>().value()),
-
736 [&](
int r_thread_index,
int theta_thread_index,
double & sum) {
-
737 IdxR i(r_thread_index);
-
738 IdxTheta j(theta_thread_index);
-
739 sum += ddc::discrete_space<DDim>().m_singular_basis_elements(k, i, j)
-
740 * r_integrals(i) * theta_integrals(j);
-
-
-
743 singular_spline_integrals(k) = teamSum;
-
-
-
-
747 ddc::DiscreteDomain<BSplinesR> r_tensor_product_dom(
-
748 ddc::select<BSplinesR>(int_vals.
spline_coef .domain()));
-
749 tensor_product_idx_range_type
-
750 tensor_bspline_idx_range(r_tensor_product_dom, theta_integrals.domain());
-
751 ddc::ChunkSpan spline_integrals = int_vals.
spline_coef .span_view();
-
-
753 ddc::parallel_for_each(
-
-
755 tensor_bspline_idx_range,
-
756 KOKKOS_LAMBDA(tensor_product_idx_type idx) {
-
757 int_vals.
spline_coef (idx) = r_integrals(ddc::select<BSplinesR>(idx))
-
758 * theta_integrals(ddc::select<BSplinesTheta>(idx));
-
-
-
761 if (int_vals.
spline_coef .domain().template extent<BSplinesTheta>() == theta_bspl_space.size()) {
-
762 ddc::DiscreteDomain<BSplinesTheta> periodic_points(theta_integrals.domain().take_last(
-
763 ddc::DiscreteVector<BSplinesTheta> {BSplinesTheta::degree()}));
-
764 tensor_product_idx_range_type repeat_idx_range(r_tensor_product_dom, periodic_points);
-
765 ddc::parallel_fill(execution_space, int_vals.
spline_coef , 0.0);
-
-
-
-
-
770 template <
class BSplinesR,
class BSplinesTheta,
int C>
-
771 template <
class DDim,
class MemorySpace>
-
772 template <
class MemorySpace2>
-
-
-
-
-
776 integrals(Kokkos::DefaultHostExecutionSpace(), int_vals);
-
+
645 std::size_t nr_done = 0;
+
+
647 if (jmin_r.uid() < C + 1) {
+
648 nr_done = C + 1 - jmin_r.uid();
+
649 for (discrete_element_type k : singular_idx_range<DDim>()) {
+
650 singular_values(k.uid()) = 0.0;
+
651 for (std::size_t i(0); i < nr_done; ++i) {
+
652 for (std::size_t j(0); j < ntheta; ++j) {
+
653 singular_values(k.uid())
+
654 += m_singular_basis_elements(k, jmin_r + i, jmin_theta + j) * vals_r[i]
+
+
+
+
+
+
660 for (std::size_t k(0); k < n_singular_basis(); ++k) {
+
661 singular_values(k) = 0.0;
+
+
+
+
665 for (std::size_t i(0); i < nr - nr_done; ++i) {
+
666 for (std::size_t j(0); j < ntheta; ++j) {
+
667 values(i, j) = vals_r[i + nr_done] * vals_theta[j];
+
+
+
670 for (std::size_t i(nr - nr_done); i < nr; ++i) {
+
671 for (std::size_t j(0); j < ntheta; ++j) {
+
+
+
+
675 return ddc::DiscreteElement<BSplinesR, BSplinesTheta>(jmin_r, jmin_theta);
+
+
+
678 template <
class ExecSpace,
class DDim,
class MemorySpace>
+
+
680 ExecSpace
const & execution_space,
+
+
+
+
684 Kokkos::SpaceAccessibility<ExecSpace, MemorySpace>::accessible,
+
685 "MemorySpace has to be accessible for ExecutionSpace." );
+
686 using BSplinesR =
typename DDim::BSplinesR_tag;
+
+
688 using tensor_product_idx_range_type = ddc::DiscreteDomain<BSplinesR, BSplinesTheta>;
+
689 using tensor_product_idx_type = ddc::DiscreteElement<BSplinesR, BSplinesTheta>;
+
690 using IdxR = ddc::DiscreteElement<BSplinesR>;
+
691 using IdxTheta = ddc::DiscreteElement<BSplinesTheta>;
+
+
693 auto r_bspl_space = ddc::discrete_space<BSplinesR>();
+
694 auto theta_bspl_space = ddc::discrete_space<BSplinesTheta>();
+
+
+
697 assert(int_vals.
spline_coef .domain().front().template uid<BSplinesR>() == DDim::continuity + 1);
+
698 assert(int_vals.
spline_coef .domain().back().template uid<BSplinesR>()
+
699 == r_bspl_space.nbasis() - 1);
+
700 assert(int_vals.
spline_coef .domain().template extent<BSplinesTheta>()
+
701 == theta_bspl_space.nbasis()
+
702 || int_vals.
spline_coef .domain().template extent<BSplinesTheta>()
+
703 == theta_bspl_space.size());
+
+
705 ddc::Chunk<double, ddc::DiscreteDomain<BSplinesR>, ddc::KokkosAllocator<double, MemorySpace>>
+
706 r_integrals_alloc(r_bspl_space.full_domain().take_first(
+
707 ddc::DiscreteVector<BSplinesR> {r_bspl_space.nbasis()}));
+
+
+
710 ddc::DiscreteDomain<BSplinesTheta>,
+
711 ddc::KokkosAllocator<double, MemorySpace>>
+
712 theta_integrals_alloc(theta_bspl_space.full_domain().take_first(
+
713 ddc::DiscreteVector<BSplinesTheta> {theta_bspl_space.size()}));
+
714 ddc::ChunkSpan r_integrals = r_integrals_alloc.span_view();
+
715 ddc::ChunkSpan theta_integrals = theta_integrals_alloc.span_view();
+
+
717 ddc::integrals(execution_space, r_integrals);
+
718 ddc::integrals(execution_space, theta_integrals);
+
+
720 ddc::DiscreteDomain<BSplinesR, BSplinesTheta> singular_2d_idx_range(
+
721 ddc::discrete_space<DDim>().m_singular_basis_elements.domain());
+
+
+
724 ddc::DiscreteDomain<DDim> singular_idx_range = DDim::template singular_idx_range<DDim>();
+
725 Kokkos::parallel_for(
+
726 Kokkos::TeamPolicy<>(execution_space, singular_idx_range.size(), Kokkos::AUTO),
+
727 KOKKOS_LAMBDA(
const Kokkos::TeamPolicy<>::member_type& team) {
+
728 const int idx = team.league_rank();
+
729 ddc::DiscreteElement<DDim> k(idx);
+
+
+
+
733 Kokkos::parallel_reduce(
+
734 Kokkos::TeamThreadMDRange(
+
+
736 singular_2d_idx_range.template extent<BSplinesR>().value(),
+
737 singular_2d_idx_range.template extent<BSplinesTheta>().value()),
+
738 [&](
int r_thread_index,
int theta_thread_index,
double & sum) {
+
739 IdxR i(r_thread_index);
+
740 IdxTheta j(theta_thread_index);
+
741 sum += ddc::discrete_space<DDim>().m_singular_basis_elements(k, i, j)
+
742 * r_integrals(i) * theta_integrals(j);
+
+
+
745 singular_spline_integrals(k) = teamSum;
+
+
+
+
749 ddc::DiscreteDomain<BSplinesR> r_tensor_product_dom(
+
750 ddc::select<BSplinesR>(int_vals.
spline_coef .domain()));
+
751 tensor_product_idx_range_type
+
752 tensor_bspline_idx_range(r_tensor_product_dom, theta_integrals.domain());
+
753 ddc::ChunkSpan spline_integrals = int_vals.
spline_coef .span_view();
+
+
755 ddc::parallel_for_each(
+
+
757 tensor_bspline_idx_range,
+
758 KOKKOS_LAMBDA(tensor_product_idx_type idx) {
+
759 int_vals.
spline_coef (idx) = r_integrals(ddc::select<BSplinesR>(idx))
+
760 * theta_integrals(ddc::select<BSplinesTheta>(idx));
+
+
+
763 if (int_vals.
spline_coef .domain().template extent<BSplinesTheta>() == theta_bspl_space.size()) {
+
764 ddc::DiscreteDomain<BSplinesTheta> periodic_points(theta_integrals.domain().take_last(
+
765 ddc::DiscreteVector<BSplinesTheta> {BSplinesTheta::degree()}));
+
766 tensor_product_idx_range_type repeat_idx_range(r_tensor_product_dom, periodic_points);
+
767 ddc::parallel_fill(execution_space, int_vals.
spline_coef , 0.0);
+
+
+
+
+
772 template <
class BSplinesR,
class BSplinesTheta,
int C>
+
773 template <
class DDim,
class MemorySpace>
+
774 template <
class MemorySpace2>
+
+
+
+
+
778 integrals(Kokkos::DefaultHostExecutionSpace(), int_vals);
+
@@ -722,42 +724,42 @@
A class to convert cartesian coordinates to barycentric coordinates on a triangle.
Definition cartesian_to_barycentric.hpp:22
-
The Impl class holds the implementation of the PolarBSplines.
Definition polar_bsplines.hpp:173
-
std::size_t nbasis() const noexcept
Get the total number of basis functions.
Definition polar_bsplines.hpp:514
-
discrete_domain_type full_domain() const noexcept
Returns the index range containing the indices of all the polar b-splines.
Definition polar_bsplines.hpp:526
+
The Impl class holds the implementation of the PolarBSplines.
Definition polar_bsplines.hpp:174
+
std::size_t nbasis() const noexcept
Get the total number of basis functions.
Definition polar_bsplines.hpp:516
+
discrete_domain_type full_domain() const noexcept
Returns the index range containing the indices of all the polar b-splines.
Definition polar_bsplines.hpp:528
Impl(Impl &&x)=default
A copy constructor for the PolarBSplines taking a temporary r-value.
Impl & operator=(Impl &&x)=default
A copy operator for the PolarBSplines taking a temporary r-value.
-
tensor_product_index_type eval_deriv_r_and_theta(DSpan1D singular_derivs, DSpan2D derivs, ddc::Coordinate< DimR, DimTheta > p) const
Evaluate the second order derivative of the polar basis splines in the radial and poloidal directions...
Definition polar_bsplines.hpp:590
-
Impl(const DiscreteMapping &curvilinear_to_cartesian)
A constructor for the PolarBSplines.
Definition polar_bsplines.hpp:253
-
ddc::DiscreteDomain< DDim > discrete_domain_type
The type of a index range of PolarBSplines.
Definition polar_bsplines.hpp:240
+
tensor_product_index_type eval_deriv_r_and_theta(DSpan1D singular_derivs, DSpan2D derivs, ddc::Coordinate< DimR, DimTheta > p) const
Evaluate the second order derivative of the polar basis splines in the radial and poloidal directions...
Definition polar_bsplines.hpp:592
+
Impl(const DiscreteMapping &curvilinear_to_cartesian)
A constructor for the PolarBSplines.
Definition polar_bsplines.hpp:254
+
ddc::DiscreteDomain< DDim > discrete_domain_type
The type of a index range of PolarBSplines.
Definition polar_bsplines.hpp:241
Impl & operator=(Impl const &x)=default
A copy operator for the PolarBSplines.
~Impl()=default
The destructor for the PolarBSplines.
-
Impl(Impl< DDim, OriginMemorySpace > const &impl)
A copy constructor for the PolarBSplines.
Definition polar_bsplines.hpp:371
-
ddc::DiscreteVector< DDim > discrete_vector_type
The type of a vector associated with a PolarBSpline.
Definition polar_bsplines.hpp:243
-
tensor_product_index_type eval_basis(DSpan1D singular_values, DSpan2D values, ddc::Coordinate< DimR, DimTheta > p) const
Evaluate the polar basis splines at the coordinate p.
Definition polar_bsplines.hpp:557
-
ddc::DiscreteElement< DDim > discrete_element_type
The type of an index associated with a PolarBSpline.
Definition polar_bsplines.hpp:237
-
tensor_product_index_type eval_deriv_theta(DSpan1D singular_derivs, DSpan2D derivs, ddc::Coordinate< DimR, DimTheta > p) const
Evaluate the poloidal derivative of the polar basis splines at the coordinate p.
Definition polar_bsplines.hpp:579
-
tensor_product_index_type eval_deriv_r(DSpan1D singular_derivs, DSpan2D derivs, ddc::Coordinate< DimR, DimTheta > p) const
Evaluate the radial derivative of the polar basis splines at the coordinate p.
Definition polar_bsplines.hpp:568
-
discrete_domain_type tensor_bspline_idx_range() const noexcept
Returns the ddc::DiscreteDomain containing the indices of the b-splines which don't traverse the sing...
Definition polar_bsplines.hpp:538
+
Impl(Impl< DDim, OriginMemorySpace > const &impl)
A copy constructor for the PolarBSplines.
Definition polar_bsplines.hpp:373
+
ddc::DiscreteVector< DDim > discrete_vector_type
The type of a vector associated with a PolarBSpline.
Definition polar_bsplines.hpp:244
+
tensor_product_index_type eval_basis(DSpan1D singular_values, DSpan2D values, ddc::Coordinate< DimR, DimTheta > p) const
Evaluate the polar basis splines at the coordinate p.
Definition polar_bsplines.hpp:559
+
ddc::DiscreteElement< DDim > discrete_element_type
The type of an index associated with a PolarBSpline.
Definition polar_bsplines.hpp:238
+
tensor_product_index_type eval_deriv_theta(DSpan1D singular_derivs, DSpan2D derivs, ddc::Coordinate< DimR, DimTheta > p) const
Evaluate the poloidal derivative of the polar basis splines at the coordinate p.
Definition polar_bsplines.hpp:581
+
tensor_product_index_type eval_deriv_r(DSpan1D singular_derivs, DSpan2D derivs, ddc::Coordinate< DimR, DimTheta > p) const
Evaluate the radial derivative of the polar basis splines at the coordinate p.
Definition polar_bsplines.hpp:570
+
discrete_domain_type tensor_bspline_idx_range() const noexcept
Returns the ddc::DiscreteDomain containing the indices of the b-splines which don't traverse the sing...
Definition polar_bsplines.hpp:540
Impl(Impl const &x)=default
A copy constructor for the PolarBSplines.
-
The tag for the first corner of the Barycentric coordinates.
Definition polar_bsplines.hpp:210
-
The tag for the second corner of the Barycentric coordinates.
Definition polar_bsplines.hpp:214
-
The tag for the third corner of the Barycentric coordinates.
Definition polar_bsplines.hpp:218
-
A class containing all information describing polar bsplines.
Definition polar_bsplines.hpp:28
-
static KOKKOS_FUNCTION ddc::DiscreteElement< DDim > get_polar_index(tensor_product_index_type const &idx)
Get the index of the polar bspline which, when evaluated at the same point, returns the same values a...
Definition polar_bsplines.hpp:133
-
static KOKKOS_FUNCTION tensor_product_index_type get_2d_index(ddc::DiscreteElement< DDim > const &idx)
Get the 2D index of the tensor product bspline which, when evaluated at the same point,...
Definition polar_bsplines.hpp:153
-
ddc::DiscreteVector< BSplinesR, BSplinesTheta > tensor_product_idx_step_type
The type of a 2D vector for the subset of the polar bsplines which can be expressed as a tensor produ...
Definition polar_bsplines.hpp:89
-
static constexpr std::size_t n_singular_basis()
Get the number of singular bsplines i.e.
Definition polar_bsplines.hpp:103
-
typename BSplinesTheta::continuous_dimension_type DimTheta
The tag for the poloidal direction of the bsplines.
Definition polar_bsplines.hpp:57
-
ddc::DiscreteDomain< BSplinesR, BSplinesTheta > tensor_product_idx_range_type
The type of the 2D idx_range for the subset of the polar bsplines which can be expressed as a tensor ...
Definition polar_bsplines.hpp:83
-
static constexpr ddc::DiscreteDomain< DDim > singular_idx_range()
Get the ddc::DiscreteDomain containing the indices of the b-splines which traverse the singular point...
Definition polar_bsplines.hpp:117
-
ddc::DiscreteElement< BSplinesR, BSplinesTheta > tensor_product_index_type
The type of a 2D index for the subset of the polar bsplines which can be expressed as a tensor produc...
Definition polar_bsplines.hpp:77
-
typename BSplinesR::continuous_dimension_type DimR
The tag for the radial direction of the bsplines.
Definition polar_bsplines.hpp:54
-
static int constexpr continuity
The continuity enforced by the bsplines at the singular point.
Definition polar_bsplines.hpp:61
+
The tag for the first corner of the Barycentric coordinates.
Definition polar_bsplines.hpp:211
+
The tag for the second corner of the Barycentric coordinates.
Definition polar_bsplines.hpp:215
+
The tag for the third corner of the Barycentric coordinates.
Definition polar_bsplines.hpp:219
+
A class containing all information describing polar bsplines.
Definition polar_bsplines.hpp:29
+
static KOKKOS_FUNCTION ddc::DiscreteElement< DDim > get_polar_index(tensor_product_index_type const &idx)
Get the index of the polar bspline which, when evaluated at the same point, returns the same values a...
Definition polar_bsplines.hpp:134
+
static KOKKOS_FUNCTION tensor_product_index_type get_2d_index(ddc::DiscreteElement< DDim > const &idx)
Get the 2D index of the tensor product bspline which, when evaluated at the same point,...
Definition polar_bsplines.hpp:154
+
ddc::DiscreteVector< BSplinesR, BSplinesTheta > tensor_product_idx_step_type
The type of a 2D vector for the subset of the polar bsplines which can be expressed as a tensor produ...
Definition polar_bsplines.hpp:90
+
static constexpr std::size_t n_singular_basis()
Get the number of singular bsplines i.e.
Definition polar_bsplines.hpp:104
+
typename BSplinesTheta::continuous_dimension_type DimTheta
The tag for the poloidal direction of the bsplines.
Definition polar_bsplines.hpp:58
+
ddc::DiscreteDomain< BSplinesR, BSplinesTheta > tensor_product_idx_range_type
The type of the 2D idx_range for the subset of the polar bsplines which can be expressed as a tensor ...
Definition polar_bsplines.hpp:84
+
static constexpr ddc::DiscreteDomain< DDim > singular_idx_range()
Get the ddc::DiscreteDomain containing the indices of the b-splines which traverse the singular point...
Definition polar_bsplines.hpp:118
+
ddc::DiscreteElement< BSplinesR, BSplinesTheta > tensor_product_index_type
The type of a 2D index for the subset of the polar bsplines which can be expressed as a tensor produc...
Definition polar_bsplines.hpp:78
+
typename BSplinesR::continuous_dimension_type DimR
The tag for the radial direction of the bsplines.
Definition polar_bsplines.hpp:55
+
static int constexpr continuity
The continuity enforced by the bsplines at the singular point.
Definition polar_bsplines.hpp:62
A class which evaluates the triangular Bernstein polynomials.
Definition bernstein.hpp:29
Definition geometry.hpp:93
Definition geometry.hpp:100
-
+
A structure containing the two ChunkSpans necessary to define a reference to a spline on a set of pol...
Definition polar_spline.hpp:116
ddc::ChunkSpan< double, ddc::DiscreteDomain< BSplinesR, BSplinesTheta >, Kokkos::layout_right, MemSpace > spline_coef
A ChunkSpan containing the coefficients in front of the b-spline elements which can be expressed as a...
Definition polar_spline.hpp:133
ddc::ChunkSpan< double, ddc::DiscreteDomain< PolarBSplinesType >, Kokkos::layout_right, MemSpace > singular_spline_coef
A ChunkSpan containing the coefficients in front of the b-spline elements near the singular point whi...
Definition polar_spline.hpp:140
diff --git a/polar__poisson_2test__cases_8hpp_source.html b/polar__poisson_2test__cases_8hpp_source.html
index e3df00ca..84441d4a 100644
--- a/polar__poisson_2test__cases_8hpp_source.html
+++ b/polar__poisson_2test__cases_8hpp_source.html
@@ -295,8 +295,8 @@
PoissonSolution(CurvilinearToCartesian const &coordinate_converter)
Instantiate a PoissonSolution.
Definition test_cases.hpp:55
Define non periodic real R dimension.
Definition geometry.hpp:31
Define periodic real Theta dimension.
Definition geometry.hpp:42
-
Define non periodic real X dimension.
Definition geometry.hpp:277
-
Define non periodic real Y dimension.
Definition geometry.hpp:288
+
Define non periodic real X dimension.
Definition geometry.hpp:318
+
Define non periodic real Y dimension.
Definition geometry.hpp:329
diff --git a/polarpoissonlikesolver_8hpp_source.html b/polarpoissonlikesolver_8hpp_source.html
index 60763d6c..806e1c88 100644
--- a/polarpoissonlikesolver_8hpp_source.html
+++ b/polarpoissonlikesolver_8hpp_source.html
@@ -123,62 +123,62 @@
15 #include "ddc_aliases.hpp"
16 #include "matrix_batch_csr.hpp"
-
-
-
-
-
47 class SplineRThetaEvaluatorNullBound_host,
-
48 class IdxRangeFull = IdxRange<GridR, GridTheta>>
-
-
-
-
-
-
53 std::is_same_v<IdxRangeFull, IdxRange<GridR, GridTheta>>,
-
54 "PolarSplineFEMPoissonLikeSolver is not yet batched" );
-
-
-
58 using R =
typename GridR::continuous_dimension_type;
-
60 using Theta =
typename GridTheta::continuous_dimension_type;
-
-
-
-
-
-
+
+
+
+
+
+
48 class SplineRThetaEvaluatorNullBound,
+
49 class IdxRangeFull = IdxRange<GridR, GridTheta>>
+
+
+
+
+
+
54 std::is_same_v<IdxRangeFull, IdxRange<GridR, GridTheta>>,
+
55 "PolarSplineFEMPoissonLikeSolver is not yet batched" );
+
+
+
59 using R =
typename GridR::continuous_dimension_type;
+
61 using Theta =
typename GridTheta::continuous_dimension_type;
+
+
+
-
-
-
-
+
-
-
-
-
+
-
-
-
-
+
-
-
-
-
-
-
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+
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-
-
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-
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92 using CoordRTheta = Coord<R, Theta>;
-
+
+
+
93 using CoordRTheta = Coord<R, Theta>;
@@ -220,1083 +220,1266 @@
159 using CoordFieldRTheta = Field<CoordRTheta, IdxRangeRTheta>;
160 using DFieldRTheta = DField<IdxRangeRTheta>;
-
166 struct EvalDeriv1DType
-
-
-
-
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175 struct EvalDeriv2DType
-
-
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178 double radial_derivative;
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179 double poloidal_derivative;
-
-
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185 using IdxCell = Idx<RCellDim, ThetaCellDim>;
-
-
-
188 static constexpr int m_n_gauss_legendre_r = BSplinesR::degree() + 1;
-
189 static constexpr int m_n_gauss_legendre_theta = BSplinesTheta::degree() + 1;
-
-
-
-
-
-
195 static constexpr IdxStep<RBasisSubset> m_n_non_zero_bases_r
-
196 = IdxStep<RBasisSubset>(BSplinesR::degree() + 1);
-
-
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199 static constexpr IdxStep<ThetaBasisSubset> m_n_non_zero_bases_theta
-
200 = IdxStep<ThetaBasisSubset>(BSplinesTheta::degree() + 1);
-
-
202 static constexpr IdxRange<RBasisSubset> m_non_zero_bases_r
-
203 = IdxRange<RBasisSubset>(Idx<RBasisSubset> {0}, m_n_non_zero_bases_r);
-
204 static constexpr IdxRange<ThetaBasisSubset> m_non_zero_bases_theta
-
205 = IdxRange<ThetaBasisSubset>(Idx<ThetaBasisSubset> {0}, m_n_non_zero_bases_theta);
-
-
207 const int m_nbasis_r;
-
208 const int m_nbasis_theta;
-
-
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211 IdxRangeBSPolar m_idxrange_fem_non_singular;
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212 IdxRangeBSR m_idxrange_bsplines_r;
-
213 IdxRangeBSTheta m_idxrange_bsplines_theta;
+
+
+
+
+
+
+
+
180 double radial_derivative;
+
181 double poloidal_derivative;
+
+
+
+
+
+
+
190 static constexpr int m_n_gauss_legendre_r = BSplinesR::degree() + 1;
+
191 static constexpr int m_n_gauss_legendre_theta = BSplinesTheta::degree() + 1;
+
+
+
+
+
+
197 static constexpr IdxStep<RBasisSubset> m_n_non_zero_bases_r
+
198 = IdxStep<RBasisSubset>(BSplinesR::degree() + 1);
+
+
+
201 static constexpr IdxStep<ThetaBasisSubset> m_n_non_zero_bases_theta
+
202 = IdxStep<ThetaBasisSubset>(BSplinesTheta::degree() + 1);
+
+
204 static constexpr IdxRange<RBasisSubset> m_non_zero_bases_r
+
205 = IdxRange<RBasisSubset>(Idx<RBasisSubset> {0}, m_n_non_zero_bases_r);
+
206 static constexpr IdxRange<ThetaBasisSubset> m_non_zero_bases_theta
+
207 = IdxRange<ThetaBasisSubset>(Idx<ThetaBasisSubset> {0}, m_n_non_zero_bases_theta);
+
+
209 const int m_nbasis_r;
+
210 const int m_nbasis_theta;
+
+
+
213 const int m_matrix_size;
-
215 IdxRangeQuadratureR m_idxrange_quadrature_r;
-
216 IdxRangeQuadratureTheta m_idxrange_quadrature_theta;
-
217 IdxRangeQuadratureRTheta m_idxrange_quadrature_singular;
-
-
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220 host_t<FieldMem<Coord<R>, IdxRangeQuadratureR>> m_points_r;
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221 host_t<FieldMem<Coord<Theta>, IdxRangeQuadratureTheta>> m_points_theta;
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222 host_t<FieldMem<double, IdxRangeQuadratureR>> m_weights_r;
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223 host_t<FieldMem<double, IdxRangeQuadratureTheta>> m_weights_theta;
-
-
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226 host_t<FieldMem<EvalDeriv2DType, IdxRange<PolarBSplinesRTheta, QDimRMesh, QDimThetaMesh>>>
-
227 m_singular_basis_vals_and_derivs;
-
228 host_t<FieldMem<EvalDeriv1DType, IdxRange<RBasisSubset, QDimRMesh>>> r_basis_vals_and_derivs;
-
229 host_t<FieldMem<EvalDeriv1DType, IdxRange<ThetaBasisSubset, QDimThetaMesh>>>
-
230 m_theta_basis_vals_and_derivs;
-
-
232 host_t<FieldMem<double, IdxRangeQuadratureRTheta>> m_int_volume;
-
-
-
235 m_polar_spline_evaluator;
-
236 std::unique_ptr<MatrixBatchCsr<Kokkos::DefaultExecutionSpace, MatrixBatchCsrSolver::CG>>
-
-
238 mutable host_t<SplinePolar> m_phi_spline_coef;
-
239 Kokkos::View<double**, Kokkos::LayoutRight> m_x_init;
-
-
241 const int m_batch_idx {0};
-
-
-
267 template <
class Mapping>
-
-
-
269 host_t<ConstSpline2D> coeff_alpha,
-
270 host_t<ConstSpline2D> coeff_beta,
-
271 Mapping
const & mapping,
-
272 SplineRThetaEvaluatorNullBound_host
const & spline_evaluator)
-
273 : m_nbasis_r(ddc::discrete_space<
BSplinesR >().nbasis() - m_n_overlap_cells - 1)
-
274 , m_nbasis_theta(ddc::discrete_space<
BSplinesTheta >().nbasis())
-
275 , m_idxrange_fem_non_singular(
-
-
-
278 , m_idxrange_bsplines_r(ddc::discrete_space<BSplinesR>().full_domain().remove_first(
-
279 IdxStep<BSplinesR> {m_n_overlap_cells}))
-
280 , m_idxrange_bsplines_theta(ddc::discrete_space<BSplinesTheta>().full_domain().take_first(
-
281 IdxStep<BSplinesTheta> {m_nbasis_theta}))
-
282 , m_idxrange_quadrature_r(
-
-
-
285 m_n_gauss_legendre_r * ddc::discrete_space<BSplinesR>().ncells()))
-
286 , m_idxrange_quadrature_theta(
-
287 Idx<QDimThetaMesh>(0),
-
288 IdxStep<QDimThetaMesh>(
-
289 m_n_gauss_legendre_theta * ddc::discrete_space<BSplinesTheta>().ncells()))
-
290 , m_idxrange_quadrature_singular(
-
291 m_idxrange_quadrature_r.take_first(
-
292 IdxStep<QDimRMesh> {m_n_overlap_cells * m_n_gauss_legendre_r}),
-
293 m_idxrange_quadrature_theta)
-
294 , m_points_r(m_idxrange_quadrature_r)
-
295 , m_points_theta(m_idxrange_quadrature_theta)
-
296 , m_weights_r(m_idxrange_quadrature_r)
-
297 , m_weights_theta(m_idxrange_quadrature_theta)
-
298 , m_singular_basis_vals_and_derivs(IdxRange<PolarBSplinesRTheta, QDimRMesh, QDimThetaMesh>(
-
299 PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>(),
-
300 ddc::select<QDimRMesh>(m_idxrange_quadrature_singular),
-
301 ddc::select<QDimThetaMesh>(m_idxrange_quadrature_singular)))
-
302 , r_basis_vals_and_derivs(
-
303 IdxRange<RBasisSubset, QDimRMesh>(m_non_zero_bases_r, m_idxrange_quadrature_r))
-
304 , m_theta_basis_vals_and_derivs(
-
-
-
307 QDimThetaMesh>(m_non_zero_bases_theta, m_idxrange_quadrature_theta))
-
-
309 IdxRangeQuadratureRTheta(m_idxrange_quadrature_r, m_idxrange_quadrature_theta))
-
310 , m_polar_spline_evaluator(ddc::NullExtrapolationRule())
-
-
312 PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>(),
-
-
314 m_idxrange_bsplines_r,
-
315 ddc::discrete_space<BSplinesTheta>().full_domain()))
-
-
-
-
319 ddc::discrete_space<PolarBSplinesRTheta>().nbasis()
-
320 - ddc::discrete_space<BSplinesTheta>().nbasis())
-
-
322 static_assert (has_2d_jacobian_v<Mapping, CoordRTheta>);
-
-
324 Kokkos::deep_copy(m_x_init, 0);
-
-
326 IdxRange<KnotsR> idxrange_r_edges = ddc::discrete_space<BSplinesR>().break_point_domain();
-
327 IdxRange<KnotsTheta> idxrange_theta_edges
-
328 = ddc::discrete_space<BSplinesTheta>().break_point_domain();
-
329 host_t<FieldMem<Coord<R>, IdxRange<KnotsR>>> breaks_r(idxrange_r_edges);
-
330 host_t<FieldMem<Coord<Theta>, IdxRange<KnotsTheta>>> breaks_theta(idxrange_theta_edges);
-
-
332 ddc::for_each(idxrange_r_edges, [&](Idx<KnotsR> i) { breaks_r(i) = ddc::coordinate(i); });
-
333 ddc::for_each(idxrange_theta_edges, [&](Idx<KnotsTheta> i) {
-
334 breaks_theta(i) = ddc::coordinate(i);
-
+
+
216 IdxRangeBSPolar m_idxrange_fem_non_singular;
+
217 IdxRangeBSR m_idxrange_bsplines_r;
+
218 IdxRangeBSTheta m_idxrange_bsplines_theta;
+
+
220 IdxRangeQuadratureR m_idxrange_quadrature_r;
+
221 IdxRangeQuadratureTheta m_idxrange_quadrature_theta;
+
222 IdxRangeQuadratureRTheta m_idxrange_quadrature_singular;
+
+
+
225 host_t<FieldMem<Coord<R>, IdxRangeQuadratureR>> m_points_r;
+
226 host_t<FieldMem<Coord<Theta>, IdxRangeQuadratureTheta>> m_points_theta;
+
227 host_t<FieldMem<double, IdxRangeQuadratureR>> m_weights_r;
+
228 host_t<FieldMem<double, IdxRangeQuadratureTheta>> m_weights_theta;
+
+
+
231 host_t<FieldMem<EvalDeriv2DType, IdxRange<PolarBSplinesRTheta, QDimRMesh, QDimThetaMesh>>>
+
232 m_singular_basis_vals_and_derivs;
+
233 host_t<FieldMem<EvalDeriv1DType, IdxRange<RBasisSubset, QDimRMesh>>> m_r_basis_vals_and_derivs;
+
234 host_t<FieldMem<EvalDeriv1DType, IdxRange<ThetaBasisSubset, QDimThetaMesh>>>
+
235 m_theta_basis_vals_and_derivs;
+
+
237 FieldMem<double, IdxRangeQuadratureRTheta> m_int_volume;
+
+
+
240 m_polar_spline_evaluator;
+
241 std::unique_ptr<MatrixBatchCsr<Kokkos::DefaultExecutionSpace, MatrixBatchCsrSolver::CG>>
+
+
243 mutable host_t<SplinePolar> m_phi_spline_coef;
+
244 Kokkos::View<double**, Kokkos::LayoutRight> m_x_init;
+
+
246 const int m_batch_idx {0};
+
+
271 template <
class Mapping>
+
+
+
273 ConstSpline2D coeff_alpha,
+
274 ConstSpline2D coeff_beta,
+
275 Mapping
const & mapping,
+
276 SplineRThetaEvaluatorNullBound
const & spline_evaluator)
+
277 : m_nbasis_r(ddc::discrete_space<
BSplinesR >().nbasis() - m_n_overlap_cells - 1)
+
278 , m_nbasis_theta(ddc::discrete_space<
BSplinesTheta >().nbasis())
+
+
280 , m_idxrange_fem_non_singular(
+
+
+
283 , m_idxrange_bsplines_r(ddc::discrete_space<BSplinesR>().full_domain().remove_first(
+
284 IdxStep<BSplinesR> {m_n_overlap_cells}))
+
285 , m_idxrange_bsplines_theta(ddc::discrete_space<BSplinesTheta>().full_domain().take_first(
+
286 IdxStep<BSplinesTheta> {m_nbasis_theta}))
+
287 , m_idxrange_quadrature_r(
+
+
+
290 m_n_gauss_legendre_r * ddc::discrete_space<BSplinesR>().ncells()))
+
291 , m_idxrange_quadrature_theta(
+
292 Idx<QDimThetaMesh>(0),
+
293 IdxStep<QDimThetaMesh>(
+
294 m_n_gauss_legendre_theta * ddc::discrete_space<BSplinesTheta>().ncells()))
+
295 , m_idxrange_quadrature_singular(
+
296 m_idxrange_quadrature_r.take_first(
+
297 IdxStep<QDimRMesh> {m_n_overlap_cells * m_n_gauss_legendre_r}),
+
298 m_idxrange_quadrature_theta)
+
299 , m_points_r(m_idxrange_quadrature_r)
+
300 , m_points_theta(m_idxrange_quadrature_theta)
+
301 , m_weights_r(m_idxrange_quadrature_r)
+
302 , m_weights_theta(m_idxrange_quadrature_theta)
+
303 , m_singular_basis_vals_and_derivs(IdxRange<PolarBSplinesRTheta, QDimRMesh, QDimThetaMesh>(
+
304 PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>(),
+
305 ddc::select<QDimRMesh>(m_idxrange_quadrature_singular),
+
306 ddc::select<QDimThetaMesh>(m_idxrange_quadrature_singular)))
+
307 , m_r_basis_vals_and_derivs(
+
308 IdxRange<RBasisSubset, QDimRMesh>(m_non_zero_bases_r, m_idxrange_quadrature_r))
+
309 , m_theta_basis_vals_and_derivs(
+
+
+
312 QDimThetaMesh>(m_non_zero_bases_theta, m_idxrange_quadrature_theta))
+
+
314 IdxRangeQuadratureRTheta(m_idxrange_quadrature_r, m_idxrange_quadrature_theta))
+
315 , m_polar_spline_evaluator(ddc::NullExtrapolationRule())
+
+
317 PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>(),
+
+
319 m_idxrange_bsplines_r,
+
320 ddc::discrete_space<BSplinesTheta>().full_domain()))
+
+
+
+
324 ddc::discrete_space<PolarBSplinesRTheta>().nbasis()
+
325 - ddc::discrete_space<BSplinesTheta>().nbasis())
+
+
327 static_assert (has_2d_jacobian_v<Mapping, CoordRTheta>);
+
+
329 Kokkos::deep_copy(m_x_init, 0);
+
+
331 IdxRange<KnotsR> idxrange_r_edges = ddc::discrete_space<BSplinesR>().break_point_domain();
+
332 IdxRange<KnotsTheta> idxrange_theta_edges
+
333 = ddc::discrete_space<BSplinesTheta>().break_point_domain();
+
334 host_t<FieldMem<Coord<R>, IdxRange<KnotsR>>> breaks_r(idxrange_r_edges);
+
335 host_t<FieldMem<Coord<Theta>, IdxRange<KnotsTheta>>> breaks_theta(idxrange_theta_edges);
-
-
-
-
340 gl_coeffs_r.compute_points_and_weights_on_mesh(
-
341 get_field(m_points_r),
-
342 get_field(m_weights_r),
-
343 get_const_field(breaks_r));
-
344 gl_coeffs_theta.compute_points_and_weights_on_mesh(
-
345 get_field(m_points_theta),
-
346 get_field(m_weights_theta),
-
347 get_const_field(breaks_theta));
-
-
349 std::vector<double> vect_points_r(m_points_r.size());
-
350 for (IdxQuadratureR i : m_idxrange_quadrature_r) {
-
351 vect_points_r[i - m_idxrange_quadrature_r.front()] = m_points_r(i);
-
-
353 std::vector<double> vect_points_theta(m_points_theta.size());
-
354 for (IdxQuadratureTheta i : m_idxrange_quadrature_theta) {
-
355 vect_points_theta[i - m_idxrange_quadrature_theta.front()] = m_points_theta(i);
-
-
-
-
359 ddc::init_discrete_space<QDimRMesh>(vect_points_r);
-
360 ddc::init_discrete_space<QDimThetaMesh>(vect_points_theta);
-
-
-
363 ddc::for_each(m_idxrange_quadrature_r, [&](IdxQuadratureR
const idx_r) {
-
364 std::array<double, 2 * m_n_non_zero_bases_r> data;
-
365 DSpan2D vals(data.data(), m_n_non_zero_bases_r, 2);
-
366 ddc::discrete_space<BSplinesR>()
-
367 .eval_basis_and_n_derivs(vals, ddc::coordinate(idx_r), 1);
-
368 for (
auto ib : m_non_zero_bases_r) {
-
369 const int ib_idx = ib - m_non_zero_bases_r.front();
-
370 r_basis_vals_and_derivs(ib, idx_r).value = vals(ib_idx, 0);
-
371 r_basis_vals_and_derivs(ib, idx_r).derivative = vals(ib_idx, 1);
-
-
-
-
-
376 ddc::for_each(m_idxrange_quadrature_theta, [&](IdxQuadratureTheta
const idx_theta) {
-
377 std::array<double, 2 * m_n_non_zero_bases_theta> data;
-
378 DSpan2D vals(data.data(), m_n_non_zero_bases_theta, 2);
-
379 ddc::discrete_space<BSplinesTheta>()
-
380 .eval_basis_and_n_derivs(vals, ddc::coordinate(idx_theta), 1);
-
381 for (
auto ib : m_non_zero_bases_theta) {
-
382 const int ib_idx = ib - m_non_zero_bases_theta.front();
-
383 m_theta_basis_vals_and_derivs(ib, idx_theta).value = vals(ib_idx, 0);
-
384 m_theta_basis_vals_and_derivs(ib, idx_theta).derivative = vals(ib_idx, 1);
-
-
-
-
388 IdxRangeBSPolar idxrange_singular
-
389 = PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>();
-
-
-
392 ddc::for_each(m_idxrange_quadrature_singular, [&](IdxQuadratureRTheta
const irp) {
-
-
394 std::array<double, m_n_non_zero_bases_r * m_n_non_zero_bases_theta> data;
-
-
-
-
-
-
400 DSpan2D vals(data.data(), m_n_non_zero_bases_r, m_n_non_zero_bases_theta);
-
401 IdxQuadratureR idx_r = ddc::select<QDimRMesh>(irp);
-
402 IdxQuadratureTheta idx_theta = ddc::select<QDimThetaMesh>(irp);
-
-
404 const CoordRTheta coord(ddc::coordinate(irp));
-
-
-
407 ddc::discrete_space<PolarBSplinesRTheta>().eval_basis(singular_vals, vals, coord);
-
408 for (IdxBSPolar ib : idxrange_singular) {
-
409 m_singular_basis_vals_and_derivs(ib, idx_r, idx_theta).value
-
410 = singular_vals[ib - idxrange_singular.front()];
-
-
-
-
414 ddc::discrete_space<PolarBSplinesRTheta>().eval_deriv_r(singular_vals, vals, coord);
-
415 for (IdxBSPolar ib : idxrange_singular) {
-
416 m_singular_basis_vals_and_derivs(ib, idx_r, idx_theta).radial_derivative
-
417 = singular_vals[ib - idxrange_singular.front()];
-
-
-
-
421 ddc::discrete_space<PolarBSplinesRTheta>().eval_deriv_theta(singular_vals, vals, coord);
-
422 for (IdxBSPolar ib : idxrange_singular) {
-
423 m_singular_basis_vals_and_derivs(ib, idx_r, idx_theta).poloidal_derivative
-
424 = singular_vals[ib - idxrange_singular.front()];
-
-
-
-
-
429 IdxRangeQuadratureRTheta
-
430 all_quad_points(m_idxrange_quadrature_r, m_idxrange_quadrature_theta);
-
431 ddc::for_each(all_quad_points, [&](IdxQuadratureRTheta
const irp) {
-
432 IdxQuadratureR
const idx_r = ddc::select<QDimRMesh>(irp);
-
433 IdxQuadratureTheta
const idx_theta = ddc::select<QDimThetaMesh>(irp);
-
434 CoordRTheta coord(ddc::coordinate(irp));
-
435 m_int_volume(idx_r, idx_theta) = abs(mapping.jacobian(coord)) * m_weights_r(idx_r)
-
436 * m_weights_theta(idx_theta);
-
-
-
-
-
441 constexpr int n_elements_singular
-
-
-
-
445 const int n_elements_overlap = 2
-
-
447 * BSplinesR::degree() * m_nbasis_theta);
-
448 const int n_stencil_theta
-
449 = m_nbasis_theta * min(
int (1 + 2 * BSplinesTheta::degree()), m_nbasis_theta);
-
450 const int n_stencil_r = m_nbasis_r * (1 + 2 * BSplinesR::degree())
-
451 - (1 + BSplinesR::degree()) * BSplinesR::degree();
-
-
-
454 const int n_elements_stencil = n_stencil_r * n_stencil_theta;
-
-
456 const int batch_size = 1;
-
-
458 const int matrix_size
-
459 = ddc::discrete_space<PolarBSplinesRTheta>().nbasis() - m_nbasis_theta;
-
460 const int n_matrix_elements = n_elements_singular + n_elements_overlap + n_elements_stencil;
-
-
-
463 Kokkos::View<double**, Kokkos::LayoutRight, Kokkos::HostSpace>
-
464 values_csr_host(
"values_csr" , batch_size, n_matrix_elements);
-
465 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::HostSpace>
-
466 col_idx_csr_host(
"idx_csr" , n_matrix_elements);
-
467 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::DefaultExecutionSpace>
-
468 nnz_per_row_csr(
"nnz_per_row_csr" , matrix_size + 1);
-
469 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::HostSpace>
-
470 nnz_per_row_csr_host(
"nnz_per_row_csr" , matrix_size + 1);
-
-
-
473 Kokkos::deep_copy(nnz_per_row_csr_host, nnz_per_row_csr);
-
-
475 Kokkos::Profiling::pushRegion(
"PolarPoissonFillFemMatrix" );
-
-
477 ddc::for_each(idxrange_singular, [&](IdxBSPolar
const idx_test) {
-
478 ddc::for_each(idxrange_singular, [&](IdxBSPolar
const idx_trial) {
-
-
480 double const element = ddc::transform_reduce(
-
481 m_idxrange_quadrature_singular,
-
-
483 ddc::reducer::sum<double>(),
-
484 [&](IdxQuadratureRTheta
const idx_quad) {
-
485 IdxQuadratureR
const idx_r = ddc::select<QDimRMesh>(idx_quad);
-
486 IdxQuadratureTheta
const idx_theta
-
487 = ddc::select<QDimThetaMesh>(idx_quad);
-
488 return weak_integral_element(
-
-
-
491 m_singular_basis_vals_and_derivs(idx_test, idx_r, idx_theta),
-
492 m_singular_basis_vals_and_derivs(idx_trial, idx_r, idx_theta),
-
-
-
-
-
-
498 const int row_idx = idx_test - idxrange_singular.front();
-
499 const int col_idx = idx_trial - idxrange_singular.front();
-
500 const int csr_idx_singular_area = nnz_per_row_csr_host(row_idx + 1);
-
-
502 col_idx_csr_host(csr_idx_singular_area) = col_idx;
-
503 values_csr_host(m_batch_idx, csr_idx_singular_area) = element;
-
504 nnz_per_row_csr_host(row_idx + 1)++;
-
-
-
-
-
509 IdxRangeBSR central_radial_bspline_idx_range(
-
510 m_idxrange_bsplines_r.take_first(IdxStep<BSplinesR> {BSplinesR::degree()}));
-
-
512 IdxRangeBSRTheta idxrange_non_singular_near_centre(
-
513 central_radial_bspline_idx_range,
-
514 m_idxrange_bsplines_theta);
-
-
-
517 ddc::for_each(idxrange_singular, [&](IdxBSPolar
const idx_test) {
-
518 ddc::for_each(idxrange_non_singular_near_centre, [&](IdxBSRTheta
const idx_trial) {
-
519 const IdxBSPolar idx_trial_polar(
-
520 PolarBSplinesRTheta::template get_polar_index<PolarBSplinesRTheta>(
-
-
522 const Idx<BSplinesR> idx_trial_r(ddc::select<BSplinesR>(idx_trial));
-
523 const Idx<BSplinesTheta> idx_trial_theta(ddc::select<BSplinesTheta>(idx_trial));
-
-
-
526 const Idx<RCellDim> first_overlap_element_r(
-
527 idx_trial_r.uid() < BSplinesR::degree()
-
-
529 : idx_trial_r.uid() -
BSplinesR ::degree());
-
530 const Idx<ThetaCellDim> first_overlap_element_theta(
-
531 theta_mod(idx_trial_theta.uid() - BSplinesTheta::degree()));
-
-
533 const IdxStep<RCellDim> n_overlap_r(
-
534 m_n_overlap_cells - first_overlap_element_r.uid());
-
535 const IdxStep<ThetaCellDim> n_overlap_theta(BSplinesTheta::degree() + 1);
-
-
537 const IdxRange<RCellDim> r_cells(first_overlap_element_r, n_overlap_r);
-
538 const IdxRange<ThetaCellDim>
-
539 theta_cells(first_overlap_element_theta, n_overlap_theta);
-
540 const IdxRange<RCellDim, ThetaCellDim> non_zero_cells(r_cells, theta_cells);
-
-
542 if (n_overlap_r > 0) {
-
543 double element = 0.0;
-
-
545 ddc::for_each(non_zero_cells, [&](IdxCell
const cell_idx) {
-
546 const int cell_idx_r(ddc::select<RCellDim>(cell_idx).uid());
-
547 const int cell_idx_theta(
-
548 theta_mod(ddc::select<ThetaCellDim>(cell_idx).uid()));
-
-
550 const IdxRangeQuadratureRTheta cell_quad_points(
-
551 get_quadrature_points_in_cell(cell_idx_r, cell_idx_theta));
-
-
553 Idx<RBasisSubset> ib_trial_r(idx_trial_r.uid() - cell_idx_r);
-
554 Idx<ThetaBasisSubset> ib_trial_theta(
-
555 theta_mod(idx_trial_theta.uid() - cell_idx_theta));
-
-
557 element += ddc::transform_reduce(
-
-
-
560 ddc::reducer::sum<double>(),
-
561 [&](IdxQuadratureRTheta
const idx_quad) {
-
562 IdxQuadratureR
const idx_r = ddc::select<QDimRMesh>(idx_quad);
-
563 IdxQuadratureTheta
const idx_theta
-
564 = ddc::select<QDimThetaMesh>(idx_quad);
-
565 return weak_integral_element<Mapping>(
-
-
-
568 m_singular_basis_vals_and_derivs(
-
-
-
-
572 r_basis_vals_and_derivs(ib_trial_r, idx_r),
-
573 m_theta_basis_vals_and_derivs(
-
-
-
-
-
-
-
-
-
-
583 int const row_idx = idx_test - idxrange_singular.front();
-
584 int const col_idx = idx_trial_polar - idxrange_singular.front();
-
-
586 col_idx_csr_host(nnz_per_row_csr_host(row_idx + 1)) = col_idx;
-
587 values_csr_host(m_batch_idx, nnz_per_row_csr_host(row_idx + 1)) = element;
-
588 nnz_per_row_csr_host(row_idx + 1)++;
-
-
590 col_idx_csr_host(nnz_per_row_csr_host(col_idx + 1)) = row_idx;
-
591 values_csr_host(m_batch_idx, nnz_per_row_csr_host(col_idx + 1)) = element;
-
592 nnz_per_row_csr_host(col_idx + 1)++;
-
-
-
-
-
-
598 ddc::for_each(m_idxrange_fem_non_singular, [&](IdxBSPolar
const idx_test_polar) {
-
-
600 const std::size_t idx_test_r(ddc::select<BSplinesR>(idx_test).uid());
-
601 const std::size_t idx_test_theta(ddc::select<BSplinesTheta>(idx_test).uid());
-
-
-
604 IdxRangeBSTheta remaining_theta(
-
605 Idx<BSplinesTheta> {idx_test_theta},
-
606 IdxStep<BSplinesTheta> {BSplinesTheta::degree() + 1});
-
607 ddc::for_each(remaining_theta, [&](Idx<BSplinesTheta>
const idx_trial_theta) {
-
608 IdxBSRTheta idx_trial(Idx<BSplinesR>(idx_test_r), idx_trial_theta);
-
609 IdxBSPolar idx_trial_polar(
-
610 PolarBSplinesRTheta::template get_polar_index<PolarBSplinesRTheta>(
-
611 IdxBSRTheta(idx_test_r, theta_mod(idx_trial_theta.uid()))));
-
612 double element = get_matrix_stencil_element(
-
-
-
-
-
-
-
619 int const int_polar_idx_test = idx_test_polar - idxrange_singular.front();
-
620 if (idx_test_polar == idx_trial_polar) {
-
621 const int idx = nnz_per_row_csr_host(int_polar_idx_test + 1);
-
622 col_idx_csr_host(idx) = int_polar_idx_test;
-
623 values_csr_host(m_batch_idx, idx) = element;
-
624 nnz_per_row_csr_host(int_polar_idx_test + 1)++;
-
-
626 int const int_polar_idx_trial = idx_trial_polar - idxrange_singular.front();
-
-
628 const int aij_idx = nnz_per_row_csr_host(int_polar_idx_test + 1);
-
629 col_idx_csr_host(aij_idx) = int_polar_idx_trial;
-
630 values_csr_host(m_batch_idx, aij_idx) = element;
-
631 nnz_per_row_csr_host(int_polar_idx_test + 1)++;
-
-
633 const int aji_idx = nnz_per_row_csr_host(int_polar_idx_trial + 1);
-
634 col_idx_csr_host(aji_idx) = int_polar_idx_test;
-
635 values_csr_host(m_batch_idx, aji_idx) = element;
-
636 nnz_per_row_csr_host(int_polar_idx_trial + 1)++;
-
-
-
639 IdxRangeBSR remaining_r(
-
640 ddc::select<BSplinesR>(idx_test) + 1,
-
-
642 min(BSplinesR::degree(),
-
643 ddc::discrete_space<BSplinesR>().nbasis() - 2 - idx_test_r)});
-
644 IdxRangeBSTheta relevant_theta(
-
-
646 idx_test_theta + ddc::discrete_space<BSplinesTheta>().nbasis()
-
647 - BSplinesTheta::degree()},
-
648 IdxStep<BSplinesTheta> {2 * BSplinesTheta::degree() + 1});
-
-
650 IdxRangeBSRTheta trial_idx_range(remaining_r, relevant_theta);
-
-
652 ddc::for_each(trial_idx_range, [&](IdxBSRTheta
const idx_trial) {
-
653 const int idx_trial_r(ddc::select<BSplinesR>(idx_trial).uid());
-
654 const int idx_trial_theta(ddc::select<BSplinesTheta>(idx_trial).uid());
-
655 IdxBSPolar idx_trial_polar(
-
656 PolarBSplinesRTheta::template get_polar_index<PolarBSplinesRTheta>(
-
657 IdxBSRTheta(idx_trial_r, theta_mod(idx_trial_theta))));
-
658 double element = get_matrix_stencil_element(
-
-
-
-
-
-
-
665 int const int_polar_idx_test = idx_test_polar - idxrange_singular.front();
-
666 if (idx_test_polar == idx_trial_polar) {
-
667 const int idx = nnz_per_row_csr_host(int_polar_idx_test + 1);
-
668 col_idx_csr_host(idx) = int_polar_idx_test;
-
669 values_csr_host(m_batch_idx, idx) = element;
-
670 nnz_per_row_csr_host(int_polar_idx_test + 1)++;
-
-
672 int const int_polar_idx_trial = idx_trial_polar - idxrange_singular.front();
-
673 const int aij_idx = nnz_per_row_csr_host(int_polar_idx_test + 1);
-
674 col_idx_csr_host(aij_idx) = int_polar_idx_trial;
-
675 values_csr_host(m_batch_idx, aij_idx) = element;
-
676 nnz_per_row_csr_host(int_polar_idx_test + 1)++;
-
-
678 const int aji_idx = nnz_per_row_csr_host(int_polar_idx_trial + 1);
-
679 col_idx_csr_host(aji_idx) = int_polar_idx_test;
-
680 values_csr_host(m_batch_idx, aji_idx) = element;
-
681 nnz_per_row_csr_host(int_polar_idx_trial + 1)++;
-
-
-
-
685 assert(nnz_per_row_csr_host(matrix_size) == n_matrix_elements);
-
-
687 Kokkos::DefaultExecutionSpace,
-
688 MatrixBatchCsrSolver::CG>>(1, matrix_size, n_matrix_elements);
-
-
690 auto [values, col_idx, nnz_per_row] = m_gko_matrix->get_batch_csr();
-
691 Kokkos::deep_copy(values, values_csr_host);
-
692 Kokkos::deep_copy(col_idx, col_idx_csr_host);
-
693 Kokkos::deep_copy(nnz_per_row, nnz_per_row_csr_host);
-
694 m_gko_matrix->setup_solver();
-
695 Kokkos::Profiling::popRegion();
-
+
337 ddc::for_each(idxrange_r_edges, [&](Idx<KnotsR> i) { breaks_r(i) = ddc::coordinate(i); });
+
338 ddc::for_each(idxrange_theta_edges, [&](Idx<KnotsTheta> i) {
+
339 breaks_theta(i) = ddc::coordinate(i);
+
+
+
+
+
+
345 gl_coeffs_r.compute_points_and_weights_on_mesh(
+
346 get_field(m_points_r),
+
347 get_field(m_weights_r),
+
348 get_const_field(breaks_r));
+
349 gl_coeffs_theta.compute_points_and_weights_on_mesh(
+
350 get_field(m_points_theta),
+
351 get_field(m_weights_theta),
+
352 get_const_field(breaks_theta));
+
+
354 std::vector<double> vect_points_r(m_points_r.size());
+
355 for (IdxQuadratureR i : m_idxrange_quadrature_r) {
+
356 vect_points_r[i - m_idxrange_quadrature_r.front()] = m_points_r(i);
+
+
358 std::vector<double> vect_points_theta(m_points_theta.size());
+
359 for (IdxQuadratureTheta i : m_idxrange_quadrature_theta) {
+
360 vect_points_theta[i - m_idxrange_quadrature_theta.front()] = m_points_theta(i);
+
+
+
+
364 ddc::init_discrete_space<QDimRMesh>(vect_points_r);
+
365 ddc::init_discrete_space<QDimThetaMesh>(vect_points_theta);
+
+
+
368 ddc::for_each(m_idxrange_quadrature_r, [&](IdxQuadratureR
const idx_r) {
+
369 std::array<double, 2 * m_n_non_zero_bases_r> data;
+
370 DSpan2D vals(data.data(), m_n_non_zero_bases_r, 2);
+
371 ddc::discrete_space<BSplinesR>()
+
372 .eval_basis_and_n_derivs(vals, ddc::coordinate(idx_r), 1);
+
373 for (
auto ib : m_non_zero_bases_r) {
+
374 const int ib_idx = ib - m_non_zero_bases_r.front();
+
375 m_r_basis_vals_and_derivs(ib, idx_r).value = vals(ib_idx, 0);
+
376 m_r_basis_vals_and_derivs(ib, idx_r).derivative = vals(ib_idx, 1);
+
+
+
+
+
381 ddc::for_each(m_idxrange_quadrature_theta, [&](IdxQuadratureTheta
const idx_theta) {
+
382 std::array<double, 2 * m_n_non_zero_bases_theta> data;
+
383 DSpan2D vals(data.data(), m_n_non_zero_bases_theta, 2);
+
384 ddc::discrete_space<BSplinesTheta>()
+
385 .eval_basis_and_n_derivs(vals, ddc::coordinate(idx_theta), 1);
+
386 for (
auto ib : m_non_zero_bases_theta) {
+
387 const int ib_idx = ib - m_non_zero_bases_theta.front();
+
388 m_theta_basis_vals_and_derivs(ib, idx_theta).value = vals(ib_idx, 0);
+
389 m_theta_basis_vals_and_derivs(ib, idx_theta).derivative = vals(ib_idx, 1);
+
+
+
+
393 IdxRangeBSPolar idxrange_singular
+
394 = PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>();
+
+
+
397 ddc::for_each(m_idxrange_quadrature_singular, [&](IdxQuadratureRTheta
const irp) {
+
+
399 std::array<double, m_n_non_zero_bases_r * m_n_non_zero_bases_theta> data;
+
+
+
+
+
+
405 DSpan2D vals(data.data(), m_n_non_zero_bases_r, m_n_non_zero_bases_theta);
+
406 IdxQuadratureR
const idx_r(irp);
+
407 IdxQuadratureTheta
const idx_theta(irp);
+
+
409 const CoordRTheta coord(ddc::coordinate(irp));
+
+
+
412 ddc::discrete_space<PolarBSplinesRTheta>().eval_basis(singular_vals, vals, coord);
+
413 for (IdxBSPolar ib : idxrange_singular) {
+
414 m_singular_basis_vals_and_derivs(ib, idx_r, idx_theta).value
+
415 = singular_vals[ib - idxrange_singular.front()];
+
+
+
+
419 ddc::discrete_space<PolarBSplinesRTheta>().eval_deriv_r(singular_vals, vals, coord);
+
420 for (IdxBSPolar ib : idxrange_singular) {
+
421 m_singular_basis_vals_and_derivs(ib, idx_r, idx_theta).radial_derivative
+
422 = singular_vals[ib - idxrange_singular.front()];
+
+
+
+
426 ddc::discrete_space<PolarBSplinesRTheta>().eval_deriv_theta(singular_vals, vals, coord);
+
427 for (IdxBSPolar ib : idxrange_singular) {
+
428 m_singular_basis_vals_and_derivs(ib, idx_r, idx_theta).poloidal_derivative
+
429 = singular_vals[ib - idxrange_singular.front()];
+
+
+
+
+
+
435 constexpr int n_elements_singular
+
+
+
+
439 const int n_elements_overlap = 2
+
+
441 * BSplinesR::degree() * m_nbasis_theta);
+
442 const int n_stencil_theta
+
443 = m_nbasis_theta * min(
int (1 + 2 * BSplinesTheta::degree()), m_nbasis_theta);
+
444 const int n_stencil_r = m_nbasis_r * (1 + 2 * BSplinesR::degree())
+
445 - (1 + BSplinesR::degree()) * BSplinesR::degree();
+
+
+
448 const int n_elements_stencil = n_stencil_r * n_stencil_theta;
+
+
450 const int batch_size = 1;
+
+
452 const int n_matrix_elements = n_elements_singular + n_elements_overlap + n_elements_stencil;
+
+
+
455 Kokkos::View<double**, Kokkos::LayoutRight, Kokkos::HostSpace>
+
456 values_csr_host(
"values_csr" , batch_size, n_matrix_elements);
+
457 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::HostSpace>
+
458 col_idx_csr_host(
"idx_csr" , n_matrix_elements);
+
459 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::DefaultExecutionSpace>
+
460 nnz_per_row_csr(
"nnz_per_row_csr" , m_matrix_size + 1);
+
461 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::HostSpace>
+
462 nnz_per_row_csr_host(
"nnz_per_row_csr" , m_matrix_size + 1);
+
+
+
+
+
467 Kokkos::DefaultExecutionSpace,
+
468 MatrixBatchCsrSolver::CG>>(1, m_matrix_size, n_matrix_elements);
+
469 auto [values, col_idx, nnz_per_row] = m_gko_matrix->get_batch_csr();
+
+
471 Kokkos::deep_copy(nnz_per_row_csr_host, nnz_per_row);
+
+
+
+
+
+
+
+
+
480 nnz_per_row_csr_host);
+
+
+
+
+
+
+
+
488 nnz_per_row_csr_host);
+
+
+
+
+
+
+
+
496 nnz_per_row_csr_host);
+
+
498 assert(nnz_per_row_csr_host(m_matrix_size) == n_matrix_elements);
+
499 Kokkos::deep_copy(values, values_csr_host);
+
500 Kokkos::deep_copy(col_idx, col_idx_csr_host);
+
501 Kokkos::deep_copy(nnz_per_row, nnz_per_row_csr_host);
+
502 m_gko_matrix->setup_solver();
+
+
+
+
514 template <
class Mapping>
+
+
+
+
517 auto weights_r_alloc = ddc::create_mirror_view_and_copy(
+
518 Kokkos::DefaultExecutionSpace(),
+
519 get_field(m_weights_r));
+
520 auto weights_theta_alloc = ddc::create_mirror_view_and_copy(
+
521 Kokkos::DefaultExecutionSpace(),
+
522 get_field(m_weights_theta));
+
523 DField<IdxRangeQuadratureR> weights_r = get_field(weights_r_alloc);
+
524 DField<IdxRangeQuadratureTheta> weights_theta = get_field(weights_theta_alloc);
+
+
526 IdxRangeQuadratureRTheta
const
+
527 all_quad_points(m_idxrange_quadrature_r, m_idxrange_quadrature_theta);
+
528 auto int_volume_alloc = ddc::create_mirror_view_and_copy(
+
529 Kokkos::DefaultExecutionSpace(),
+
530 get_field(m_int_volume));
+
531 auto int_volume = get_field(int_volume_alloc);
+
532 ddc::parallel_for_each(
+
533 Kokkos::DefaultExecutionSpace(),
+
+
535 KOKKOS_LAMBDA(IdxQuadratureRTheta
const irp) {
+
536 IdxQuadratureR
const idx_r(irp);
+
537 IdxQuadratureTheta
const idx_theta(irp);
+
538 CoordRTheta coord(ddc::coordinate(irp));
+
539 int_volume(idx_r, idx_theta) = Kokkos::abs(mapping.jacobian(coord))
+
540 * weights_r(idx_r) * weights_theta(idx_theta);
+
+
+
+
+
566 template <
class Mapping>
+
+
+
568 ConstSpline2D coeff_alpha,
+
569 ConstSpline2D coeff_beta,
+
570 Mapping
const & mapping,
+
571 SplineRThetaEvaluatorNullBound
const & spline_evaluator,
+
572 Kokkos::View<double**, Kokkos::LayoutRight, Kokkos::HostSpace>
const values_csr_host,
+
573 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::HostSpace>
const col_idx_csr_host,
+
574 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::HostSpace>
const nnz_per_row_csr_host)
+
+
576 IdxRangeBSPolar idxrange_singular
+
577 = PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>();
+
578 IdxRangeQuadratureRTheta idxrange_quadrature_singular = m_idxrange_quadrature_singular;
+
+
580 auto singular_basis_vals_and_derivs_alloc = ddc::create_mirror_view_and_copy(
+
581 Kokkos::DefaultExecutionSpace(),
+
582 get_field(m_singular_basis_vals_and_derivs));
+
583 auto r_basis_vals_and_derivs_alloc = ddc::create_mirror_view_and_copy(
+
584 Kokkos::DefaultExecutionSpace(),
+
585 get_field(m_r_basis_vals_and_derivs));
+
586 Field<EvalDeriv2DType, IdxRange<PolarBSplinesRTheta, QDimRMesh, QDimThetaMesh>>
+
587 singular_basis_vals_and_derivs = get_field(singular_basis_vals_and_derivs_alloc);
+
588 DField<IdxRangeQuadratureRTheta> int_volume_proxy = get_field(m_int_volume);
+
+
590 Kokkos::Profiling::pushRegion(
"PolarPoissonFillFemMatrix" );
+
+
592 ddc::for_each(idxrange_singular, [&](IdxBSPolar
const idx_test) {
+
593 ddc::for_each(idxrange_singular, [&](IdxBSPolar
const idx_trial) {
+
+
595 double const element = ddc::parallel_transform_reduce(
+
596 Kokkos::DefaultExecutionSpace(),
+
597 idxrange_quadrature_singular,
+
+
599 ddc::reducer::sum<double>(),
+
600 KOKKOS_LAMBDA(Idx<QDimRMesh, QDimThetaMesh>
const & idx_quad) {
+
601 Idx<QDimRMesh>
const idx_r(idx_quad);
+
602 Idx<QDimThetaMesh>
const idx_theta(idx_quad);
+
+
+
+
606 singular_basis_vals_and_derivs(idx_test, idx_r, idx_theta),
+
607 singular_basis_vals_and_derivs(idx_trial, idx_r, idx_theta),
+
+
+
+
+
+
+
614 const int row_idx = idx_test - idxrange_singular.front();
+
615 const int col_idx = idx_trial - idxrange_singular.front();
+
616 const int csr_idx_singular_area = nnz_per_row_csr_host(row_idx + 1);
+
+
618 col_idx_csr_host(csr_idx_singular_area) = col_idx;
+
619 values_csr_host(m_batch_idx, csr_idx_singular_area) = element;
+
620 nnz_per_row_csr_host(row_idx + 1)++;
+
+
+
-
-
711 template <
class RHSFunction>
-
-
712 void operator() (RHSFunction
const & rhs, host_t<SplinePolar>& spline)
const
-
-
714 Kokkos::Profiling::pushRegion(
"PolarPoissonRHS" );
-
-
-
717 std::is_invocable_r_v<double, RHSFunction, CoordRTheta>,
-
718 "RHSFunction must have an operator() which takes a coordinate and returns a "
-
-
720 const int b_size = ddc::discrete_space<PolarBSplinesRTheta>().nbasis()
-
721 - ddc::discrete_space<BSplinesTheta>().nbasis();
-
722 const int batch_size = 1;
-
-
724 Kokkos::View<double**, Kokkos::LayoutRight, Kokkos::HostSpace>
-
725 b_host(
"b_host" , batch_size, b_size);
-
-
727 Kokkos::View<double**, Kokkos::LayoutRight, Kokkos::HostSpace>
-
728 x_init_host(
"x_init_host" , batch_size, b_size);
-
-
-
731 PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>(),
-
732 [&](IdxBSPolar
const idx) {
-
733 const int bspl_idx = idx
-
734 - PolarBSplinesRTheta::template singular_idx_range<
-
-
-
737 b_host(0, bspl_idx) = ddc::transform_reduce(
-
738 m_idxrange_quadrature_singular,
-
-
740 ddc::reducer::sum<double>(),
-
741 [&](IdxQuadratureRTheta
const idx_quad) {
-
742 IdxQuadratureR
const idx_r = ddc::select<QDimRMesh>(idx_quad);
-
743 IdxQuadratureTheta
const idx_theta
-
744 = ddc::select<QDimThetaMesh>(idx_quad);
-
745 CoordRTheta coord(ddc::coordinate(idx_quad));
-
-
747 * m_singular_basis_vals_and_derivs(idx, idx_r, idx_theta)
-
-
749 * m_int_volume(idx_r, idx_theta);
-
-
-
752 const std::size_t ncells_r = ddc::discrete_space<BSplinesR>().ncells();
-
753 ddc::for_each(m_idxrange_fem_non_singular, [&](IdxBSPolar
const idx) {
-
-
755 const std::size_t idx_r(ddc::select<BSplinesR>(idx_2d).uid());
-
756 const std::size_t idx_theta(ddc::select<BSplinesTheta>(idx_2d).uid());
-
-
-
759 int first_cell_r(idx_r - BSplinesR::degree());
-
760 int first_cell_theta(idx_theta - BSplinesTheta::degree());
-
761 std::size_t last_cell_r(idx_r + 1);
-
762 if (first_cell_r < 0)
-
-
764 if (last_cell_r > ncells_r)
-
765 last_cell_r = ncells_r;
-
766 IdxStep<RCellDim>
const r_length(last_cell_r - first_cell_r);
-
767 IdxStep<ThetaCellDim>
const theta_length(BSplinesTheta::degree() + 1);
-
-
-
770 Idx<RCellDim>
const start_r(first_cell_r);
-
771 Idx<ThetaCellDim>
const start_theta(theta_mod(first_cell_theta));
-
772 const IdxRange<RCellDim> r_cells(start_r, r_length);
-
773 const IdxRange<ThetaCellDim> theta_cells(start_theta, theta_length);
-
774 const IdxRange<RCellDim, ThetaCellDim> non_zero_cells(r_cells, theta_cells);
-
775 assert(r_length * theta_length > 0);
-
776 double element = 0.0;
-
777 ddc::for_each(non_zero_cells, [&](IdxCell
const cell_idx) {
-
778 const int cell_idx_r(ddc::select<RCellDim>(cell_idx).uid());
-
779 const int cell_idx_theta(theta_mod(ddc::select<ThetaCellDim>(cell_idx).uid()));
-
-
781 const IdxRangeQuadratureRTheta cell_quad_points(
-
782 get_quadrature_points_in_cell(cell_idx_r, cell_idx_theta));
-
-
-
785 Idx<RBasisSubset> ib_r(idx_r - cell_idx_r);
-
786 Idx<ThetaBasisSubset> ib_theta(theta_mod(idx_theta - cell_idx_theta));
-
-
-
789 element += ddc::transform_reduce(
-
-
-
792 ddc::reducer::sum<double>(),
-
793 [&](IdxQuadratureRTheta
const idx_quad) {
-
794 IdxQuadratureR
const idx_r = ddc::select<QDimRMesh>(idx_quad);
-
795 IdxQuadratureTheta
const idx_theta
-
796 = ddc::select<QDimThetaMesh>(idx_quad);
-
797 CoordRTheta coord(ddc::coordinate(idx_quad));
-
798 double rb = r_basis_vals_and_derivs(ib_r, idx_r).value;
-
799 double pb = m_theta_basis_vals_and_derivs(ib_theta, idx_theta).value;
-
800 return rhs(coord) * rb * pb * m_int_volume(idx_r, idx_theta);
-
-
-
803 const std::size_t singular_index
-
804 = idx - ddc::discrete_space<PolarBSplinesRTheta>().full_domain().front();
-
805 b_host(0, singular_index) = element;
-
-
-
808 Kokkos::View<double**, Kokkos::LayoutRight> b(
"b" , batch_size, b_size);
-
809 Kokkos::deep_copy(b, b_host);
-
810 Kokkos::Profiling::popRegion();
-
-
812 Kokkos::deep_copy(m_x_init, x_init_host);
-
-
814 Kokkos::Profiling::pushRegion(
"PolarPoissonSolve" );
-
815 m_gko_matrix->solve(m_x_init, b);
-
816 Kokkos::deep_copy(x_init_host, m_x_init);
-
-
818 IdxRangeBSRTheta dirichlet_boundary_idx_range(
-
819 m_idxrange_bsplines_r.take_last(IdxStep<BSplinesR> {1}),
-
820 m_idxrange_bsplines_theta);
-
821 IdxRangeBSTheta idxrange_polar(ddc::discrete_space<BSplinesTheta>().full_domain());
-
-
-
-
-
826 PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>(),
-
827 [&](IdxBSPolar
const idx) {
-
828 const int bspl_idx = idx
-
829 - PolarBSplinesRTheta::template singular_idx_range<
-
-
-
832 spline.singular_spline_coef(idx) = x_init_host(0, bspl_idx);
-
-
834 ddc::for_each(m_idxrange_fem_non_singular, [&](IdxBSPolar
const idx) {
-
-
836 spline.spline_coef(idx_2d) = x_init_host(0, idx.uid());
-
-
838 ddc::for_each(dirichlet_boundary_idx_range, [&](IdxBSRTheta
const idx) {
-
839 spline.spline_coef(idx) = 0.0;
-
-
-
-
843 IdxRangeBSRTheta copy_idx_range(
-
844 m_idxrange_bsplines_r,
-
845 idxrange_polar.remove_first(
-
846 IdxStep<BSplinesTheta>(ddc::discrete_space<BSplinesTheta>().nbasis())));
-
847 ddc::for_each(copy_idx_range, [&](IdxBSRTheta
const idx_2d) {
-
848 spline.spline_coef(ddc::select<BSplinesR>(idx_2d), ddc::select<BSplinesTheta>(idx_2d))
-
849 = spline.spline_coef(
-
850 ddc::select<BSplinesR>(idx_2d),
-
851 ddc::select<BSplinesTheta>(idx_2d)
-
852 - ddc::discrete_space<BSplinesTheta>().nbasis());
-
-
854 Kokkos::Profiling::popRegion();
-
+
+
647 template <
class Mapping>
+
+
+
649 ConstSpline2D coeff_alpha,
+
650 ConstSpline2D coeff_beta,
+
651 Mapping
const & mapping,
+
652 SplineRThetaEvaluatorNullBound
const & spline_evaluator,
+
653 Kokkos::View<double**, Kokkos::LayoutRight, Kokkos::HostSpace>
const values_csr_host,
+
654 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::HostSpace>
const col_idx_csr_host,
+
655 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::HostSpace>
const nnz_per_row_csr_host)
+
+
+
658 IdxRangeBSPolar idxrange_singular
+
659 = PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>();
+
660 IdxRangeBSR central_radial_bspline_idx_range(
+
661 m_idxrange_bsplines_r.take_first(IdxStep<BSplinesR> {BSplinesR::degree()}));
+
+
663 IdxRangeBSRTheta idxrange_non_singular_near_centre(
+
664 central_radial_bspline_idx_range,
+
665 m_idxrange_bsplines_theta);
+
+
667 auto singular_basis_vals_and_derivs_alloc = ddc::create_mirror_view_and_copy(
+
668 Kokkos::DefaultExecutionSpace(),
+
669 get_field(m_singular_basis_vals_and_derivs));
+
670 auto r_basis_vals_and_derivs_alloc = ddc::create_mirror_view_and_copy(
+
671 Kokkos::DefaultExecutionSpace(),
+
672 get_field(m_r_basis_vals_and_derivs));
+
673 auto theta_basis_vals_and_derivs_alloc = ddc::create_mirror_view_and_copy(
+
674 Kokkos::DefaultExecutionSpace(),
+
675 get_field(m_theta_basis_vals_and_derivs));
+
676 DField<IdxRangeQuadratureRTheta> int_volume_proxy = get_field(m_int_volume);
+
677 Field<EvalDeriv2DType, IdxRange<PolarBSplinesRTheta, QDimRMesh, QDimThetaMesh>>
+
678 singular_basis_vals_and_derivs = get_field(singular_basis_vals_and_derivs_alloc);
+
679 Field<EvalDeriv1DType, IdxRange<RBasisSubset, QDimRMesh>> r_basis_vals_and_derivs
+
680 = get_field(r_basis_vals_and_derivs_alloc);
+
681 Field<EvalDeriv1DType, IdxRange<ThetaBasisSubset, QDimThetaMesh>>
+
682 theta_basis_vals_and_derivs = get_field(theta_basis_vals_and_derivs_alloc);
+
+
684 ddc::for_each(idxrange_singular, [&](IdxBSPolar
const idx_test) {
+
685 ddc::for_each(idxrange_non_singular_near_centre, [&](IdxBSRTheta
const idx_trial) {
+
686 const IdxBSPolar idx_trial_polar(
+
687 PolarBSplinesRTheta::template get_polar_index<PolarBSplinesRTheta>(
+
+
689 const Idx<BSplinesR> idx_trial_r(ddc::select<BSplinesR>(idx_trial));
+
690 const Idx<BSplinesTheta> idx_trial_theta(ddc::select<BSplinesTheta>(idx_trial));
+
+
+
693 const Idx<RCellDim> first_overlap_element_r(
+
694 idx_trial_r.uid() < BSplinesR::degree()
+
+
696 : idx_trial_r.uid() - BSplinesR::degree());
+
697 const Idx<ThetaCellDim> first_overlap_element_theta(
+
698 theta_mod (idx_trial_theta.uid() - BSplinesTheta::degree()));
+
+
700 const IdxStep<RCellDim> n_overlap_r(
+
701 m_n_overlap_cells - first_overlap_element_r.uid());
+
702 const IdxStep<ThetaCellDim> n_overlap_theta(BSplinesTheta::degree() + 1);
+
+
704 const IdxRange<RCellDim> r_cells(first_overlap_element_r, n_overlap_r);
+
705 const IdxRange<ThetaCellDim>
+
706 theta_cells(first_overlap_element_theta, n_overlap_theta);
+
707 const IdxRange<RCellDim, ThetaCellDim> non_zero_cells(r_cells, theta_cells);
+
+
709 if (n_overlap_r > 0) {
+
710 double element = 0.0;
+
+
712 ddc::for_each(non_zero_cells, [&](
IdxCell const cell_idx) {
+
713 const int cell_idx_r(ddc::select<RCellDim>(cell_idx).uid());
+
714 const int cell_idx_theta(
+
715 theta_mod (ddc::select<ThetaCellDim>(cell_idx).uid()));
+
+
717 const IdxRangeQuadratureRTheta cell_quad_points(
+
+
+
720 Idx<RBasisSubset> ib_trial_r(idx_trial_r.uid() - cell_idx_r);
+
721 Idx<ThetaBasisSubset> ib_trial_theta(
+
722 theta_mod (idx_trial_theta.uid() - cell_idx_theta));
+
+
724 element += ddc::parallel_transform_reduce(
+
725 Kokkos::DefaultExecutionSpace(),
+
+
+
728 ddc::reducer::sum<double>(),
+
729 KOKKOS_LAMBDA(IdxQuadratureRTheta
const idx_quad) {
+
730 IdxQuadratureR
const idx_r(idx_quad);
+
731 IdxQuadratureTheta
const idx_theta(idx_quad);
+
732 return weak_integral_element<Mapping>(
+
+
+
735 singular_basis_vals_and_derivs(
+
+
+
+
739 r_basis_vals_and_derivs(ib_trial_r, idx_r),
+
740 theta_basis_vals_and_derivs(ib_trial_theta, idx_theta),
+
+
+
+
+
+
+
+
+
749 int const row_idx = idx_test - idxrange_singular.front();
+
750 int const col_idx = idx_trial_polar - idxrange_singular.front();
+
+
752 col_idx_csr_host(nnz_per_row_csr_host(row_idx + 1)) = col_idx;
+
753 values_csr_host(m_batch_idx, nnz_per_row_csr_host(row_idx + 1)) = element;
+
754 nnz_per_row_csr_host(row_idx + 1)++;
+
+
756 col_idx_csr_host(nnz_per_row_csr_host(col_idx + 1)) = row_idx;
+
757 values_csr_host(m_batch_idx, nnz_per_row_csr_host(col_idx + 1)) = element;
+
758 nnz_per_row_csr_host(col_idx + 1)++;
+
+
+
+
-
-
-
871 template <
class RHSFunction>
-
-
872 void operator() (RHSFunction
const & rhs, host_t<DFieldRTheta> phi)
const
-
-
-
875 std::is_invocable_r_v<double, RHSFunction, CoordRTheta>,
-
876 "RHSFunction must have an operator() which takes a coordinate and returns a "
-
-
+
+
786 template <
class Mapping>
+
+
+
788 ConstSpline2D coeff_alpha,
+
789 ConstSpline2D coeff_beta,
+
790 Mapping
const & mapping,
+
791 SplineRThetaEvaluatorNullBound
const & spline_evaluator,
+
792 Kokkos::View<double**, Kokkos::LayoutRight, Kokkos::HostSpace>
const values_csr_host,
+
793 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::HostSpace>
const col_idx_csr_host,
+
794 Kokkos::View<int*, Kokkos::LayoutRight, Kokkos::HostSpace>
const nnz_per_row_csr_host)
+
+
796 IdxRangeBSPolar idxrange_singular
+
797 = PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>();
+
+
+
800 ddc::for_each(m_idxrange_fem_non_singular, [&](IdxBSPolar
const idx_test_polar) {
+
+
802 const std::size_t idx_test_r(ddc::select<BSplinesR>(idx_test).uid());
+
803 const std::size_t idx_test_theta(ddc::select<BSplinesTheta>(idx_test).uid());
+
+
+
806 IdxRangeBSTheta remaining_theta(
+
807 Idx<BSplinesTheta> {idx_test_theta},
+
808 IdxStep<BSplinesTheta> {BSplinesTheta::degree() + 1});
+
809 ddc::for_each(remaining_theta, [&](Idx<BSplinesTheta>
const idx_trial_theta) {
+
810 IdxBSRTheta idx_trial(Idx<BSplinesR>(idx_test_r), idx_trial_theta);
+
811 IdxBSPolar idx_trial_polar(
+
812 PolarBSplinesRTheta::template get_polar_index<PolarBSplinesRTheta>(
+
813 IdxBSRTheta(idx_test_r,
theta_mod (idx_trial_theta.uid()))));
+
+
+
+
+
+
+
+
821 int const int_polar_idx_test = idx_test_polar - idxrange_singular.front();
+
822 if (idx_test_polar == idx_trial_polar) {
+
823 const int idx = nnz_per_row_csr_host(int_polar_idx_test + 1);
+
824 col_idx_csr_host(idx) = int_polar_idx_test;
+
825 values_csr_host(m_batch_idx, idx) = element;
+
826 nnz_per_row_csr_host(int_polar_idx_test + 1)++;
+
+
828 int const int_polar_idx_trial = idx_trial_polar - idxrange_singular.front();
+
+
830 const int aij_idx = nnz_per_row_csr_host(int_polar_idx_test + 1);
+
831 col_idx_csr_host(aij_idx) = int_polar_idx_trial;
+
832 values_csr_host(m_batch_idx, aij_idx) = element;
+
833 nnz_per_row_csr_host(int_polar_idx_test + 1)++;
+
+
835 const int aji_idx = nnz_per_row_csr_host(int_polar_idx_trial + 1);
+
836 col_idx_csr_host(aji_idx) = int_polar_idx_test;
+
837 values_csr_host(m_batch_idx, aji_idx) = element;
+
838 nnz_per_row_csr_host(int_polar_idx_trial + 1)++;
+
+
+
841 IdxRangeBSR remaining_r(
+
842 ddc::select<BSplinesR>(idx_test) + 1,
+
+
844 min(BSplinesR::degree(),
+
845 ddc::discrete_space<BSplinesR>().nbasis() - 2 - idx_test_r)});
+
846 IdxRangeBSTheta relevant_theta(
+
+
848 idx_test_theta + ddc::discrete_space<BSplinesTheta>().nbasis()
+
849 - BSplinesTheta::degree()},
+
850 IdxStep<BSplinesTheta> {2 * BSplinesTheta::degree() + 1});
+
+
852 IdxRangeBSRTheta trial_idx_range(remaining_r, relevant_theta);
+
+
854 ddc::for_each(trial_idx_range, [&](IdxBSRTheta
const idx_trial) {
+
855 const int idx_trial_r(ddc::select<BSplinesR>(idx_trial).uid());
+
856 const int idx_trial_theta(ddc::select<BSplinesTheta>(idx_trial).uid());
+
857 IdxBSPolar idx_trial_polar(
+
858 PolarBSplinesRTheta::template get_polar_index<PolarBSplinesRTheta>(
+
859 IdxBSRTheta(idx_trial_r,
theta_mod (idx_trial_theta))));
+
+
+
+
+
+
+
+
867 int const int_polar_idx_test = idx_test_polar - idxrange_singular.front();
+
868 if (idx_test_polar == idx_trial_polar) {
+
869 const int idx = nnz_per_row_csr_host(int_polar_idx_test + 1);
+
870 col_idx_csr_host(idx) = int_polar_idx_test;
+
871 values_csr_host(m_batch_idx, idx) = element;
+
872 nnz_per_row_csr_host(int_polar_idx_test + 1)++;
+
+
874 int const int_polar_idx_trial = idx_trial_polar - idxrange_singular.front();
+
875 const int aij_idx = nnz_per_row_csr_host(int_polar_idx_test + 1);
+
876 col_idx_csr_host(aij_idx) = int_polar_idx_trial;
+
877 values_csr_host(m_batch_idx, aij_idx) = element;
+
878 nnz_per_row_csr_host(int_polar_idx_test + 1)++;
-
880 (*this)(rhs, m_phi_spline_coef);
-
881 host_t<CoordFieldMemRTheta> coords_eval_alloc(get_idx_range(phi));
-
882 host_t<CoordFieldRTheta> coords_eval(get_field(coords_eval_alloc));
-
883 ddc::for_each(get_idx_range(phi), [&](IdxRTheta idx) {
-
884 coords_eval(idx) = ddc::coordinate(idx);
-
-
886 m_polar_spline_evaluator(phi, get_const_field(coords_eval), m_phi_spline_coef);
-
+
880 const int aji_idx = nnz_per_row_csr_host(int_polar_idx_trial + 1);
+
881 col_idx_csr_host(aji_idx) = int_polar_idx_test;
+
882 values_csr_host(m_batch_idx, aji_idx) = element;
+
883 nnz_per_row_csr_host(int_polar_idx_trial + 1)++;
+
+
+
+
+
888 Kokkos::Profiling::popRegion();
+
-
-
-
890 static KOKKOS_FUNCTION IdxRangeQuadratureRTheta
-
891 get_quadrature_points_in_cell(
int cell_idx_r,
int cell_idx_theta)
-
-
893 const IdxQuadratureR first_quad_point_r(cell_idx_r * m_n_gauss_legendre_r);
-
894 const IdxQuadratureTheta first_quad_point_theta(cell_idx_theta * m_n_gauss_legendre_theta);
-
895 constexpr IdxStepQuadratureR n_GL_r(m_n_gauss_legendre_r);
-
896 constexpr IdxStepQuadratureTheta n_GL_theta(m_n_gauss_legendre_theta);
-
897 const IdxRangeQuadratureR quad_points_r(first_quad_point_r, n_GL_r);
-
898 const IdxRangeQuadratureTheta quad_points_theta(first_quad_point_theta, n_GL_theta);
-
899 return IdxRangeQuadratureRTheta(quad_points_r, quad_points_theta);
-
-
-
902 template <
class Mapping>
-
903 double weak_integral_element(
-
904 IdxQuadratureR idx_r,
-
905 IdxQuadratureTheta idx_theta,
-
906 EvalDeriv2DType
const & test_bspline_val_and_deriv,
-
907 EvalDeriv2DType
const & trial_bspline_val_and_deriv,
-
908 host_t<ConstSpline2D> coeff_alpha,
-
909 host_t<ConstSpline2D> coeff_beta,
-
910 SplineRThetaEvaluatorNullBound_host
const & evaluator,
-
911 Mapping
const & mapping)
-
-
913 return templated_weak_integral_element(
-
-
-
916 test_bspline_val_and_deriv,
-
917 trial_bspline_val_and_deriv,
-
918 test_bspline_val_and_deriv,
-
919 trial_bspline_val_and_deriv,
-
-
-
-
-
-
-
926 template <
class Mapping>
-
927 double weak_integral_element(
-
928 IdxQuadratureR idx_r,
-
929 IdxQuadratureTheta idx_theta,
-
930 EvalDeriv2DType
const & test_bspline_val_and_deriv,
-
931 EvalDeriv1DType
const & trial_bspline_val_and_deriv_r,
-
932 EvalDeriv1DType
const & trial_bspline_val_and_deriv_theta,
-
933 host_t<ConstSpline2D> coeff_alpha,
-
934 host_t<ConstSpline2D> coeff_beta,
-
935 SplineRThetaEvaluatorNullBound_host
const & evaluator,
-
936 Mapping
const & mapping)
-
-
938 return templated_weak_integral_element(
-
-
-
941 test_bspline_val_and_deriv,
-
942 trial_bspline_val_and_deriv_r,
-
943 test_bspline_val_and_deriv,
-
944 trial_bspline_val_and_deriv_theta,
-
-
-
-
-
+
903 template <
class RHSFunction>
+
+
904 void operator() (RHSFunction
const & rhs, host_t<SplinePolar>& spline)
const
+
+
906 Kokkos::Profiling::pushRegion(
"PolarPoissonRHS" );
+
+
+
909 std::is_invocable_r_v<double, RHSFunction, CoordRTheta>,
+
910 "RHSFunction must have an operator() which takes a coordinate and returns a "
+
+
912 const int b_size = ddc::discrete_space<PolarBSplinesRTheta>().nbasis()
+
913 - ddc::discrete_space<BSplinesTheta>().nbasis();
+
914 const int batch_size = 1;
+
+
916 Kokkos::View<double**, Kokkos::LayoutRight, Kokkos::HostSpace>
+
917 b_host(
"b_host" , batch_size, b_size);
+
+
919 Kokkos::View<double**, Kokkos::LayoutRight, Kokkos::HostSpace>
+
920 x_init_host(
"x_init_host" , batch_size, b_size);
+
+
922 auto int_volume_host = ddc::create_mirror_view_and_copy(get_field(m_int_volume));
+
+
924 PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>(),
+
925 [&](IdxBSPolar
const idx) {
+
926 const int bspl_idx = idx
+
927 - PolarBSplinesRTheta::template singular_idx_range<
+
+
+
930 b_host(0, bspl_idx) = ddc::transform_reduce(
+
931 m_idxrange_quadrature_singular,
+
+
933 ddc::reducer::sum<double>(),
+
934 [&](IdxQuadratureRTheta
const idx_quad) {
+
935 IdxQuadratureR
const idx_r(idx_quad);
+
936 IdxQuadratureTheta
const idx_theta(idx_quad);
+
937 CoordRTheta coord(ddc::coordinate(idx_quad));
+
+
939 * m_singular_basis_vals_and_derivs(idx, idx_r, idx_theta)
+
+
941 * int_volume_host(idx_r, idx_theta);
+
+
+
944 const std::size_t ncells_r = ddc::discrete_space<BSplinesR>().ncells();
+
+
946 ddc::for_each(m_idxrange_fem_non_singular, [&](IdxBSPolar
const idx) {
+
+
948 const std::size_t idx_r(ddc::select<BSplinesR>(idx_2d).uid());
+
949 const std::size_t idx_theta(ddc::select<BSplinesTheta>(idx_2d).uid());
-
951 template <
class Mapping>
-
952 double weak_integral_element(
-
953 IdxQuadratureR idx_r,
-
954 IdxQuadratureTheta idx_theta,
-
955 EvalDeriv1DType
const & test_bspline_val_and_deriv_r,
-
956 EvalDeriv2DType
const & trial_bspline_val_and_deriv,
-
957 EvalDeriv1DType
const & test_bspline_val_and_deriv_theta,
-
958 host_t<ConstSpline2D> coeff_alpha,
-
959 host_t<ConstSpline2D> coeff_beta,
-
960 SplineRThetaEvaluatorNullBound_host
const & evaluator,
-
961 Mapping
const & mapping)
-
-
963 return templated_weak_integral_element(
-
-
-
966 test_bspline_val_and_deriv_r,
-
967 trial_bspline_val_and_deriv,
-
968 test_bspline_val_and_deriv_theta,
-
969 trial_bspline_val_and_deriv,
-
-
-
-
-
-
-
976 template <
class Mapping>
-
977 double weak_integral_element(
-
978 IdxQuadratureR idx_r,
-
979 IdxQuadratureTheta idx_theta,
-
980 EvalDeriv1DType
const & test_bspline_val_and_deriv_r,
-
981 EvalDeriv1DType
const & trial_bspline_val_and_deriv_r,
-
982 EvalDeriv1DType
const & test_bspline_val_and_deriv_theta,
-
983 EvalDeriv1DType
const & trial_bspline_val_and_deriv_theta,
-
984 host_t<ConstSpline2D> coeff_alpha,
-
985 host_t<ConstSpline2D> coeff_beta,
-
986 SplineRThetaEvaluatorNullBound_host
const & evaluator,
-
987 Mapping
const & mapping)
-
-
989 return templated_weak_integral_element(
-
-
-
992 test_bspline_val_and_deriv_r,
-
993 trial_bspline_val_and_deriv_r,
-
994 test_bspline_val_and_deriv_theta,
-
995 trial_bspline_val_and_deriv_theta,
-
-
-
-
-
-
-
1002 inline void get_value_and_gradient(
-
-
1004 std::array<double, 2>& gradient,
-
1005 EvalDeriv1DType
const & r_basis,
-
1006 EvalDeriv1DType
const & theta_basis)
const
-
-
1008 value = r_basis.value * theta_basis.value;
-
1009 gradient = {r_basis.derivative * theta_basis.value, r_basis.value * theta_basis.derivative};
-
-
-
1012 inline void get_value_and_gradient(
-
-
1014 std::array<double, 2>& gradient,
-
1015 EvalDeriv2DType
const & basis,
-
1016 EvalDeriv2DType
const &)
const
-
-
1018 value = basis.value;
-
1019 gradient = {basis.radial_derivative, basis.poloidal_derivative};
-
-
-
1031 template <
class Mapping,
class TestValDerivType,
class TrialValDerivType>
-
1032 double templated_weak_integral_element(
-
1033 IdxQuadratureR idx_r,
-
1034 IdxQuadratureTheta idx_theta,
-
1035 TestValDerivType
const & test_bspline_val_and_deriv,
-
1036 TrialValDerivType
const & trial_bspline_val_and_deriv,
-
1037 TestValDerivType
const & test_bspline_val_and_deriv_theta,
-
1038 TrialValDerivType
const & trial_bspline_val_and_deriv_theta,
-
1039 host_t<ConstSpline2D> coeff_alpha,
-
1040 host_t<ConstSpline2D> coeff_beta,
-
1041 SplineRThetaEvaluatorNullBound_host
const & spline_evaluator,
-
1042 Mapping
const & mapping)
-
-
-
-
-
1047 EvalDeriv1DType> || std::is_same_v<TestValDerivType, EvalDeriv2DType>);
-
-
-
-
1051 EvalDeriv1DType> || std::is_same_v<TrialValDerivType, EvalDeriv2DType>);
-
-
-
1054 CoordRTheta coord(ddc::coordinate(idx_r), ddc::coordinate(idx_theta));
-
1055 const double alpha = spline_evaluator(coord, coeff_alpha);
-
1056 const double beta = spline_evaluator(coord, coeff_beta);
-
-
-
1059 double basis_val_test_space;
-
1060 double basis_val_trial_space;
-
1061 std::array<double, 2> basis_gradient_test_space;
-
1062 std::array<double, 2> basis_gradient_trial_space;
-
1063 get_value_and_gradient(
-
1064 basis_val_test_space,
-
1065 basis_gradient_test_space,
-
1066 test_bspline_val_and_deriv,
-
1067 test_bspline_val_and_deriv_theta);
-
1068 get_value_and_gradient(
-
1069 basis_val_trial_space,
-
1070 basis_gradient_trial_space,
-
1071 trial_bspline_val_and_deriv,
-
1072 trial_bspline_val_and_deriv_theta);
-
-
-
-
-
1077 return m_int_volume(idx_r, idx_theta)
-
-
-
1080 basis_gradient_test_space,
-
1081 metric_tensor.to_covariant(basis_gradient_trial_space, coord))
-
1082 + beta * basis_val_test_space * basis_val_trial_space);
+
+
952 int first_cell_r(idx_r - BSplinesR::degree());
+
953 int first_cell_theta(idx_theta - BSplinesTheta::degree());
+
954 std::size_t last_cell_r(idx_r + 1);
+
955 if (first_cell_r < 0)
+
+
957 if (last_cell_r > ncells_r)
+
958 last_cell_r = ncells_r;
+
959 IdxStep<RCellDim>
const r_length(last_cell_r - first_cell_r);
+
960 IdxStep<ThetaCellDim>
const theta_length(BSplinesTheta::degree() + 1);
+
+
+
963 Idx<RCellDim>
const start_r(first_cell_r);
+
964 Idx<ThetaCellDim>
const start_theta(
theta_mod (first_cell_theta));
+
965 const IdxRange<RCellDim> r_cells(start_r, r_length);
+
966 const IdxRange<ThetaCellDim> theta_cells(start_theta, theta_length);
+
967 const IdxRange<RCellDim, ThetaCellDim> non_zero_cells(r_cells, theta_cells);
+
968 assert(r_length * theta_length > 0);
+
969 double element = 0.0;
+
970 ddc::for_each(non_zero_cells, [&](
IdxCell const cell_idx) {
+
971 const int cell_idx_r(ddc::select<RCellDim>(cell_idx).uid());
+
972 const int cell_idx_theta(
theta_mod (ddc::select<ThetaCellDim>(cell_idx).uid()));
+
+
974 const IdxRangeQuadratureRTheta cell_quad_points(
+
+
+
+
978 Idx<RBasisSubset> ib_r(idx_r - cell_idx_r);
+
979 Idx<ThetaBasisSubset> ib_theta(
theta_mod (idx_theta - cell_idx_theta));
+
+
+
982 element += ddc::transform_reduce(
+
+
+
985 ddc::reducer::sum<double>(),
+
986 [&](IdxQuadratureRTheta
const idx_quad) {
+
987 IdxQuadratureR
const idx_r(idx_quad);
+
988 IdxQuadratureTheta
const idx_theta(idx_quad);
+
989 CoordRTheta coord(ddc::coordinate(idx_quad));
+
990 double rb = m_r_basis_vals_and_derivs(ib_r, idx_r).value;
+
991 double pb = m_theta_basis_vals_and_derivs(ib_theta, idx_theta).value;
+
992 return rhs(coord) * rb * pb * int_volume_host(idx_r, idx_theta);
+
+
+
995 const std::size_t singular_index
+
996 = idx - ddc::discrete_space<PolarBSplinesRTheta>().full_domain().front();
+
997 b_host(0, singular_index) = element;
+
+
+
1000 Kokkos::View<double**, Kokkos::LayoutRight> b(
"b" , batch_size, b_size);
+
1001 Kokkos::deep_copy(b, b_host);
+
1002 Kokkos::Profiling::popRegion();
+
+
1004 Kokkos::deep_copy(m_x_init, x_init_host);
+
+
1006 Kokkos::Profiling::pushRegion(
"PolarPoissonSolve" );
+
1007 m_gko_matrix->solve(m_x_init, b);
+
1008 Kokkos::deep_copy(x_init_host, m_x_init);
+
+
1010 IdxRangeBSRTheta dirichlet_boundary_idx_range(
+
1011 m_idxrange_bsplines_r.take_last(IdxStep<BSplinesR> {1}),
+
1012 m_idxrange_bsplines_theta);
+
1013 IdxRangeBSTheta idxrange_polar(ddc::discrete_space<BSplinesTheta>().full_domain());
+
+
+
+
1017 PolarBSplinesRTheta::template singular_idx_range<PolarBSplinesRTheta>(),
+
1018 [&](IdxBSPolar
const idx) {
+
1019 const int bspl_idx = idx
+
1020 - PolarBSplinesRTheta::template singular_idx_range<
+
+
+
1023 spline.singular_spline_coef(idx) = x_init_host(0, bspl_idx);
+
+
1025 ddc::for_each(m_idxrange_fem_non_singular, [&](IdxBSPolar
const idx) {
+
+
1027 spline.spline_coef(idx_2d) = x_init_host(0, idx.uid());
+
+
1029 ddc::for_each(dirichlet_boundary_idx_range, [&](IdxBSRTheta
const idx) {
+
1030 spline.spline_coef(idx) = 0.0;
+
+
+
+
1034 IdxRangeBSRTheta copy_idx_range(
+
1035 m_idxrange_bsplines_r,
+
1036 idxrange_polar.remove_first(
+
1037 IdxStep<BSplinesTheta>(ddc::discrete_space<BSplinesTheta>().nbasis())));
+
1038 ddc::for_each(copy_idx_range, [&](IdxBSRTheta
const idx_2d) {
+
1039 spline.spline_coef(ddc::select<BSplinesR>(idx_2d), ddc::select<BSplinesTheta>(idx_2d))
+
1040 = spline.spline_coef(
+
1041 ddc::select<BSplinesR>(idx_2d),
+
1042 ddc::select<BSplinesTheta>(idx_2d)
+
1043 - ddc::discrete_space<BSplinesTheta>().nbasis());
+
+
1045 Kokkos::Profiling::popRegion();
+
+
+
+
1061 template <
class RHSFunction>
+
+
+
+
+
1065 std::is_invocable_r_v<double, RHSFunction, CoordRTheta>,
+
1066 "RHSFunction must have an operator() which takes a coordinate and returns a "
+
+
+
1069 (*this)(rhs, m_phi_spline_coef);
+
1070 CoordFieldMemRTheta coords_eval_alloc(get_idx_range(phi));
+
1071 CoordFieldRTheta coords_eval(get_field(coords_eval_alloc));
+
1072 ddc::parallel_for_each(
+
1073 Kokkos::DefaultExecutionSpace(),
+
+
1075 KOKKOS_LAMBDA(IdxRTheta idx) { coords_eval(idx) = ddc::coordinate(idx); });
+
1076 auto coords_eval_host = ddc::create_mirror_and_copy(coords_eval);
+
1077 auto phi_host = ddc::create_mirror_and_copy(phi);
+
1078 m_polar_spline_evaluator(
+
1079 get_field(phi_host),
+
1080 get_const_field(coords_eval_host),
+
1081 get_const_field(m_phi_spline_coef));
+
1082 ddc::parallel_deepcopy(phi, phi_host);
+
-
1089 template <
class Mapping>
-
1090 double get_matrix_stencil_element(
-
1091 IdxBSRTheta idx_test,
-
1092 IdxBSRTheta idx_trial,
-
1093 host_t<ConstSpline2D> coeff_alpha,
-
1094 host_t<ConstSpline2D> coeff_beta,
-
1095 SplineRThetaEvaluatorNullBound_host
const & evaluator,
-
1096 Mapping
const & mapping)
+
1095 static KOKKOS_FUNCTION IdxRangeQuadratureRTheta
+
+
-
-
-
-
1101 const int idx_test_r(ddc::select<BSplinesR>(idx_test).uid());
-
1102 const int idx_trial_r(ddc::select<BSplinesR>(idx_trial).uid());
-
-
-
1105 int idx_test_theta(theta_mod(ddc::select<BSplinesTheta>(idx_test).uid()));
-
1106 int idx_trial_theta(theta_mod(ddc::select<BSplinesTheta>(idx_trial).uid()));
-
-
1108 const std::size_t ncells_r = ddc::discrete_space<BSplinesR>().ncells();
-
-
-
-
1112 const int r_offset = idx_trial_r - idx_test_r;
-
1113 int theta_offset = theta_mod(idx_trial_theta - idx_test_theta);
-
1114 if (theta_offset >=
int (m_nbasis_theta - BSplinesTheta::degree())) {
-
1115 theta_offset -= m_nbasis_theta;
-
-
1117 assert(r_offset >= 0);
-
1118 assert(r_offset <=
int (BSplinesR::degree()));
-
1119 assert(theta_offset >= -
int (BSplinesTheta::degree()));
-
1120 assert(theta_offset <=
int (BSplinesTheta::degree()));
-
-
-
1123 int n_overlap_stencil_r(BSplinesR::degree() + 1 - r_offset);
-
1124 int first_overlap_r(idx_trial_r - BSplinesR::degree());
-
-
1126 int first_overlap_theta;
-
1127 int n_overlap_stencil_theta;
-
1128 if (theta_offset > 0) {
-
1129 n_overlap_stencil_theta = BSplinesTheta::degree() + 1 - theta_offset;
-
1130 first_overlap_theta = theta_mod(idx_trial_theta - BSplinesTheta::degree());
-
-
1132 n_overlap_stencil_theta = BSplinesTheta::degree() + 1 + theta_offset;
-
1133 first_overlap_theta = theta_mod(idx_test_theta - BSplinesTheta::degree());
-
-
-
1136 if (first_overlap_r < 0) {
-
1137 const int n_compact = first_overlap_r;
-
1138 first_overlap_r = 0;
-
1139 n_overlap_stencil_r += n_compact;
-
-
-
1142 const int n_to_edge_r(ncells_r - first_overlap_r);
-
-
1144 const IdxStep<RCellDim> n_overlap_r(min(n_overlap_stencil_r, n_to_edge_r));
-
1145 const IdxStep<ThetaCellDim> n_overlap_theta(n_overlap_stencil_theta);
-
-
1147 const Idx<RCellDim> first_overlap_element_r(first_overlap_r);
-
1148 const Idx<ThetaCellDim> first_overlap_element_theta(first_overlap_theta);
-
-
1150 const IdxRange<RCellDim> r_cells(first_overlap_element_r, n_overlap_r);
-
1151 const IdxRange<ThetaCellDim> theta_cells(first_overlap_element_theta, n_overlap_theta);
-
1152 const IdxRange<RCellDim, ThetaCellDim> non_zero_cells(r_cells, theta_cells);
-
-
1154 assert(n_overlap_r * n_overlap_theta > 0);
-
1155 return ddc::transform_reduce(
-
-
-
1158 ddc::reducer::sum<double>(),
-
1159 [&](IdxCell
const cell_idx) {
-
1160 const int cell_idx_r(ddc::select<RCellDim>(cell_idx).uid());
-
1161 const int cell_idx_theta(theta_mod(ddc::select<ThetaCellDim>(cell_idx).uid()));
-
-
1163 const IdxRangeQuadratureRTheta cell_quad_points(
-
1164 get_quadrature_points_in_cell(cell_idx_r, cell_idx_theta));
-
-
1166 int ib_test_theta_idx = idx_test_theta - cell_idx_theta;
-
1167 int ib_trial_theta_idx = idx_trial_theta - cell_idx_theta;
-
-
-
1170 Idx<RBasisSubset> ib_test_r(idx_test_r - cell_idx_r);
-
1171 Idx<ThetaBasisSubset> ib_test_theta(theta_mod(ib_test_theta_idx));
-
1172 Idx<RBasisSubset> ib_trial_r(idx_trial_r - cell_idx_r);
-
1173 Idx<ThetaBasisSubset> ib_trial_theta(theta_mod(ib_trial_theta_idx));
-
-
1175 assert(ib_test_r.uid() < BSplinesR::degree() + 1);
-
1176 assert(ib_test_theta.uid() < BSplinesTheta::degree() + 1);
-
1177 assert(ib_trial_r.uid() < BSplinesR::degree() + 1);
-
1178 assert(ib_trial_theta.uid() < BSplinesTheta::degree() + 1);
-
-
-
1181 return ddc::transform_reduce(
-
-
-
1184 ddc::reducer::sum<double>(),
-
1185 [&](IdxQuadratureRTheta
const idx_quad) {
-
1186 IdxQuadratureR
const idx_r = ddc::select<QDimRMesh>(idx_quad);
-
1187 IdxQuadratureTheta
const idx_theta
-
1188 = ddc::select<QDimThetaMesh>(idx_quad);
-
1189 return weak_integral_element(
-
-
-
1192 r_basis_vals_and_derivs(ib_test_r, idx_r),
-
1193 r_basis_vals_and_derivs(ib_trial_r, idx_r),
-
1194 m_theta_basis_vals_and_derivs(ib_test_theta, idx_theta),
-
1195 m_theta_basis_vals_and_derivs(ib_trial_theta, idx_theta),
-
-
-
-
-
-
-
-
-
1204 static KOKKOS_FUNCTION
int theta_mod(
int idx_theta)
-
-
1206 int ncells_theta = ddc::discrete_space<BSplinesTheta>().ncells();
-
1207 while (idx_theta < 0)
-
1208 idx_theta += ncells_theta;
-
1209 while (idx_theta >= ncells_theta)
-
1210 idx_theta -= ncells_theta;
-
-
-
-
-
-
-
-
1230 Kokkos::Profiling::pushRegion(
"PolarPoissonInitNnz" );
-
1231 size_t const mat_size = nnz.extent(0) - 1;
-
-
1233 size_t constexpr degree = BSplinesR::degree();
-
1234 size_t constexpr radial_overlap = 2 * degree + 1;
-
1235 size_t const nbasis_theta_proxy = m_nbasis_theta;
-
-
-
1238 Kokkos::parallel_for(
-
1239 "overlap singular radial" ,
-
1240 Kokkos::RangePolicy<Kokkos::DefaultExecutionSpace>(1, n_singular_basis + 1),
-
1241 KOKKOS_LAMBDA(
const int k) {
-
1242 nnz(k + 1) = n_singular_basis + degree * nbasis_theta_proxy;
-
-
-
-
1246 Kokkos::parallel_for(
-
-
1248 Kokkos::RangePolicy<Kokkos::DefaultExecutionSpace>(1, degree + 2),
-
1249 KOKKOS_LAMBDA(
const int i) {
-
1250 for (
size_t k = n_singular_basis + (i - 1) * nbasis_theta_proxy;
-
1251 k < n_singular_basis + i * nbasis_theta_proxy;
-
-
1253 nnz(k + 2) = n_singular_basis + (degree + i) * radial_overlap;
-
-
-
-
-
1258 Kokkos::parallel_for(
-
-
1260 Kokkos::RangePolicy<Kokkos::DefaultExecutionSpace>(
-
1261 n_singular_basis + degree * nbasis_theta_proxy,
-
1262 mat_size - degree * nbasis_theta_proxy),
-
1263 KOKKOS_LAMBDA(
const int k) { nnz(k + 2) = radial_overlap * radial_overlap; });
+
1098 const IdxQuadratureR first_quad_point_r(cell_idx_r * m_n_gauss_legendre_r);
+
1099 const IdxQuadratureTheta first_quad_point_theta(cell_idx_theta * m_n_gauss_legendre_theta);
+
1100 constexpr IdxStepQuadratureR n_GL_r(m_n_gauss_legendre_r);
+
1101 constexpr IdxStepQuadratureTheta n_GL_theta(m_n_gauss_legendre_theta);
+
1102 const IdxRangeQuadratureR quad_points_r(first_quad_point_r, n_GL_r);
+
1103 const IdxRangeQuadratureTheta quad_points_theta(first_quad_point_theta, n_GL_theta);
+
1104 return IdxRangeQuadratureRTheta(quad_points_r, quad_points_theta);
+
+
+
+
1134 template <
class Mapping>
+
+
+
1136 IdxQuadratureR idx_r,
+
1137 IdxQuadratureTheta idx_theta,
+
+
+
1140 ConstSpline2D coeff_alpha,
+
1141 ConstSpline2D coeff_beta,
+
1142 SplineRThetaEvaluatorNullBound
const & evaluator,
+
1143 Mapping
const & mapping,
+
1144 DField<IdxRangeQuadratureRTheta> int_volume)
+
+
+
+
+
1149 test_bspline_val_and_deriv,
+
1150 trial_bspline_val_and_deriv,
+
1151 test_bspline_val_and_deriv,
+
1152 trial_bspline_val_and_deriv,
+
+
+
+
+
+
+
+
+
1161 template <
class Mapping>
+
+
1163 IdxQuadratureR idx_r,
+
1164 IdxQuadratureTheta idx_theta,
+
1165 EvalDeriv2DType
const & test_bspline_val_and_deriv,
+
1166 EvalDeriv1DType
const & trial_bspline_val_and_deriv_r,
+
1167 EvalDeriv1DType
const & trial_bspline_val_and_deriv_theta,
+
1168 ConstSpline2D coeff_alpha,
+
1169 ConstSpline2D coeff_beta,
+
1170 SplineRThetaEvaluatorNullBound
const & evaluator,
+
1171 Mapping
const & mapping,
+
1172 DField<IdxRangeQuadratureRTheta> int_volume)
+
+
+
+
+
1177 test_bspline_val_and_deriv,
+
1178 trial_bspline_val_and_deriv_r,
+
1179 test_bspline_val_and_deriv,
+
1180 trial_bspline_val_and_deriv_theta,
+
+
+
+
+
+
+
+
1188 template <
class Mapping>
+
+
1190 IdxQuadratureR idx_r,
+
1191 IdxQuadratureTheta idx_theta,
+
1192 EvalDeriv1DType
const & test_bspline_val_and_deriv_r,
+
1193 EvalDeriv2DType
const & trial_bspline_val_and_deriv,
+
1194 EvalDeriv1DType
const & test_bspline_val_and_deriv_theta,
+
1195 ConstSpline2D coeff_alpha,
+
1196 ConstSpline2D coeff_beta,
+
1197 SplineRThetaEvaluatorNullBound
const & evaluator,
+
1198 Mapping
const & mapping,
+
1199 DField<IdxRangeQuadratureRTheta> int_volume)
+
+
+
+
+
1204 test_bspline_val_and_deriv_r,
+
1205 trial_bspline_val_and_deriv,
+
1206 test_bspline_val_and_deriv_theta,
+
1207 trial_bspline_val_and_deriv,
+
+
+
+
+
+
+
+
1215 template <
class Mapping>
+
+
1217 IdxQuadratureR idx_r,
+
1218 IdxQuadratureTheta idx_theta,
+
1219 EvalDeriv1DType
const & test_bspline_val_and_deriv_r,
+
1220 EvalDeriv1DType
const & trial_bspline_val_and_deriv_r,
+
1221 EvalDeriv1DType
const & test_bspline_val_and_deriv_theta,
+
1222 EvalDeriv1DType
const & trial_bspline_val_and_deriv_theta,
+
1223 ConstSpline2D coeff_alpha,
+
1224 ConstSpline2D coeff_beta,
+
1225 SplineRThetaEvaluatorNullBound
const & evaluator,
+
1226 Mapping
const & mapping,
+
1227 DField<IdxRangeQuadratureRTheta> int_volume)
+
+
+
+
+
1232 test_bspline_val_and_deriv_r,
+
1233 trial_bspline_val_and_deriv_r,
+
1234 test_bspline_val_and_deriv_theta,
+
1235 trial_bspline_val_and_deriv_theta,
+
+
+
+
+
+
+
+
+
+
+
1257 std::array<double, 2>& gradient,
+
+
+
+
1261 value = r_basis.value * theta_basis.value;
+
1262 gradient = {r_basis.derivative * theta_basis.value, r_basis.value * theta_basis.derivative};
+
+
-
-
1266 Kokkos::parallel_for(
-
-
1268 Kokkos::RangePolicy<Kokkos::DefaultExecutionSpace>(1, degree + 1),
-
1269 KOKKOS_LAMBDA(
const int i) {
-
1270 for (
size_t k = mat_size - i * nbasis_theta_proxy;
-
1271 k < mat_size - (i - 1) * nbasis_theta_proxy;
-
-
1273 nnz(k + 2) = (degree + i) * radial_overlap;
-
-
-
-
-
1278 Kokkos::parallel_for(
-
-
1280 Kokkos::RangePolicy<Kokkos::DefaultExecutionSpace>(0, 1),
-
1281 KOKKOS_LAMBDA(
const int idx) {
-
1282 for (
size_t k = 1; k < mat_size; k++) {
-
1283 nnz(k + 1) += nnz(k);
-
-
-
-
-
1288 Kokkos::Profiling::popRegion();
-
+
+
+
+
1277 std::array<double, 2>& gradient,
+
+
+
+
1281 value = basis.value;
+
1282 gradient = {basis.radial_derivative, basis.poloidal_derivative};
+
+
+
+
1319 template <
class Mapping,
class TestValDerivType,
class TrialValDerivType>
+
+
+
1321 IdxQuadratureR idx_r,
+
1322 IdxQuadratureTheta idx_theta,
+
1323 TestValDerivType
const & test_bspline_val_and_deriv,
+
1324 TrialValDerivType
const & trial_bspline_val_and_deriv,
+
1325 TestValDerivType
const & test_bspline_val_and_deriv_theta,
+
1326 TrialValDerivType
const & trial_bspline_val_and_deriv_theta,
+
1327 ConstSpline2D coeff_alpha,
+
1328 ConstSpline2D coeff_beta,
+
1329 SplineRThetaEvaluatorNullBound
const & spline_evaluator,
+
1330 Mapping
const & mapping,
+
1331 DField<IdxRangeQuadratureRTheta> int_volume)
+
+
+
+
+
1336 EvalDeriv1DType > || std::is_same_v<TestValDerivType, EvalDeriv2DType>);
+
+
+
+
1340 EvalDeriv1DType > || std::is_same_v<TrialValDerivType, EvalDeriv2DType>);
+
+
+
1343 CoordRTheta coord(ddc::coordinate(idx_r), ddc::coordinate(idx_theta));
+
1344 const double alpha = spline_evaluator(coord, coeff_alpha);
+
1345 const double beta = spline_evaluator(coord, coeff_beta);
+
+
+
1348 double basis_val_test_space;
+
1349 double basis_val_trial_space;
+
1350 std::array<double, 2> basis_gradient_test_space;
+
1351 std::array<double, 2> basis_gradient_trial_space;
+
+
1353 basis_val_test_space,
+
1354 basis_gradient_test_space,
+
1355 test_bspline_val_and_deriv,
+
1356 test_bspline_val_and_deriv_theta);
+
+
1358 basis_val_trial_space,
+
1359 basis_gradient_trial_space,
+
1360 trial_bspline_val_and_deriv,
+
1361 trial_bspline_val_and_deriv_theta);
+
+
+
+
+
1366 return int_volume(idx_r, idx_theta)
+
+
+
1369 basis_gradient_test_space,
+
1370 metric_tensor.
to_covariant (basis_gradient_trial_space, coord))
+
1371 + beta * basis_val_test_space * basis_val_trial_space);
+
+
+
+
1396 template <
class Mapping>
+
+
+
1398 IdxBSRTheta idx_test,
+
1399 IdxBSRTheta idx_trial,
+
1400 ConstSpline2D coeff_alpha,
+
1401 ConstSpline2D coeff_beta,
+
1402 SplineRThetaEvaluatorNullBound
const & evaluator,
+
1403 Mapping
const & mapping)
+
+
+
+
+
1408 const int idx_test_r(ddc::select<BSplinesR>(idx_test).uid());
+
1409 const int idx_trial_r(ddc::select<BSplinesR>(idx_trial).uid());
+
+
+
1412 int idx_test_theta(
theta_mod (ddc::select<BSplinesTheta>(idx_test).uid()));
+
1413 int idx_trial_theta(
theta_mod (ddc::select<BSplinesTheta>(idx_trial).uid()));
+
+
1415 const std::size_t ncells_r = ddc::discrete_space<BSplinesR>().ncells();
+
+
+
+
1419 const int r_offset = idx_trial_r - idx_test_r;
+
1420 int theta_offset =
theta_mod (idx_trial_theta - idx_test_theta);
+
1421 if (theta_offset >=
int (m_nbasis_theta - BSplinesTheta::degree())) {
+
1422 theta_offset -= m_nbasis_theta;
+
+
1424 assert(r_offset >= 0);
+
1425 assert(r_offset <=
int (BSplinesR::degree()));
+
1426 assert(theta_offset >= -
int (BSplinesTheta::degree()));
+
1427 assert(theta_offset <=
int (BSplinesTheta::degree()));
+
+
+
1430 int n_overlap_stencil_r(BSplinesR::degree() + 1 - r_offset);
+
1431 int first_overlap_r(idx_trial_r - BSplinesR::degree());
+
+
1433 int first_overlap_theta;
+
1434 int n_overlap_stencil_theta;
+
1435 if (theta_offset > 0) {
+
1436 n_overlap_stencil_theta = BSplinesTheta::degree() + 1 - theta_offset;
+
1437 first_overlap_theta =
theta_mod (idx_trial_theta - BSplinesTheta::degree());
+
+
1439 n_overlap_stencil_theta = BSplinesTheta::degree() + 1 + theta_offset;
+
1440 first_overlap_theta =
theta_mod (idx_test_theta - BSplinesTheta::degree());
+
+
+
1443 if (first_overlap_r < 0) {
+
1444 const int n_compact = first_overlap_r;
+
1445 first_overlap_r = 0;
+
1446 n_overlap_stencil_r += n_compact;
+
+
+
1449 const int n_to_edge_r(ncells_r - first_overlap_r);
+
+
1451 const IdxStep<RCellDim> n_overlap_r(min(n_overlap_stencil_r, n_to_edge_r));
+
1452 const IdxStep<ThetaCellDim> n_overlap_theta(n_overlap_stencil_theta);
+
+
1454 const Idx<RCellDim> first_overlap_element_r(first_overlap_r);
+
1455 const Idx<ThetaCellDim> first_overlap_element_theta(first_overlap_theta);
+
+
1457 const IdxRange<RCellDim> r_cells(first_overlap_element_r, n_overlap_r);
+
1458 const IdxRange<ThetaCellDim> theta_cells(first_overlap_element_theta, n_overlap_theta);
+
1459 const IdxRange<RCellDim, ThetaCellDim> non_zero_cells(r_cells, theta_cells);
+
+
1461 auto r_basis_vals_and_derivs_alloc = ddc::create_mirror_view_and_copy(
+
1462 Kokkos::DefaultExecutionSpace(),
+
1463 get_field(m_r_basis_vals_and_derivs));
+
1464 auto theta_basis_vals_and_derivs_alloc = ddc::create_mirror_view_and_copy(
+
1465 Kokkos::DefaultExecutionSpace(),
+
1466 get_field(m_theta_basis_vals_and_derivs));
+
+
1468 Field<EvalDeriv1DType, IdxRange<RBasisSubset, QDimRMesh>> r_basis_vals_and_derivs
+
1469 = get_field(r_basis_vals_and_derivs_alloc);
+
1470 Field<EvalDeriv1DType, IdxRange<ThetaBasisSubset, QDimThetaMesh>>
+
1471 theta_basis_vals_and_derivs = get_field(theta_basis_vals_and_derivs_alloc);
+
1472 DField<IdxRangeQuadratureRTheta> int_volume_proxy = get_field(m_int_volume);
+
+
1474 assert(n_overlap_r * n_overlap_theta > 0);
+
1475 return ddc::transform_reduce(
+
+
+
1478 ddc::reducer::sum<double>(),
+
+
1480 const int cell_idx_r(ddc::select<RCellDim>(cell_idx).uid());
+
1481 const int cell_idx_theta(
theta_mod (ddc::select<ThetaCellDim>(cell_idx).uid()));
+
+
1483 const IdxRangeQuadratureRTheta cell_quad_points(
+
+
+
1486 int ib_test_theta_idx = idx_test_theta - cell_idx_theta;
+
1487 int ib_trial_theta_idx = idx_trial_theta - cell_idx_theta;
+
+
+
1490 Idx<RBasisSubset> ib_test_r(idx_test_r - cell_idx_r);
+
1491 Idx<ThetaBasisSubset> ib_test_theta(
theta_mod (ib_test_theta_idx));
+
1492 Idx<RBasisSubset> ib_trial_r(idx_trial_r - cell_idx_r);
+
1493 Idx<ThetaBasisSubset> ib_trial_theta(
theta_mod (ib_trial_theta_idx));
+
+
1495 assert(ib_test_r.uid() < BSplinesR::degree() + 1);
+
1496 assert(ib_test_theta.uid() < BSplinesTheta::degree() + 1);
+
1497 assert(ib_trial_r.uid() < BSplinesR::degree() + 1);
+
1498 assert(ib_trial_theta.uid() < BSplinesTheta::degree() + 1);
+
+
+
1501 return ddc::parallel_transform_reduce(
+
1502 Kokkos::DefaultExecutionSpace(),
+
+
+
1505 ddc::reducer::sum<double>(),
+
1506 KOKKOS_LAMBDA(IdxQuadratureRTheta
const idx_quad) {
+
1507 IdxQuadratureR
const idx_r(idx_quad);
+
1508 IdxQuadratureTheta
const idx_theta(idx_quad);
+
+
+
+
1512 r_basis_vals_and_derivs(ib_test_r, idx_r),
+
1513 r_basis_vals_and_derivs(ib_trial_r, idx_r),
+
1514 theta_basis_vals_and_derivs(ib_test_theta, idx_theta),
+
1515 theta_basis_vals_and_derivs(ib_trial_theta, idx_theta),
+
+
+
+
+
+
+
+
+
+
+
+
+
+
1534 int ncells_theta = ddc::discrete_space<BSplinesTheta>().ncells();
+
1535 while (idx_theta < 0)
+
1536 idx_theta += ncells_theta;
+
1537 while (idx_theta >= ncells_theta)
+
1538 idx_theta -= ncells_theta;
+
+
+
+
+
+
+
+
1557 Kokkos::Profiling::pushRegion(
"PolarPoissonInitNnz" );
+
1558 size_t const mat_size = nnz.extent(0) - 1;
+
+
1560 size_t constexpr degree = BSplinesR::degree();
+
1561 size_t constexpr radial_overlap = 2 * degree + 1;
+
1562 size_t const nbasis_theta_proxy = m_nbasis_theta;
+
+
+
1565 Kokkos::parallel_for(
+
1566 "overlap singular radial" ,
+
1567 Kokkos::RangePolicy<Kokkos::DefaultExecutionSpace>(1, n_singular_basis + 1),
+
1568 KOKKOS_LAMBDA(
const int k) {
+
1569 nnz(k + 1) = n_singular_basis + degree * nbasis_theta_proxy;
+
+
+
+
1573 Kokkos::parallel_for(
+
+
1575 Kokkos::RangePolicy<Kokkos::DefaultExecutionSpace>(1, degree + 2),
+
1576 KOKKOS_LAMBDA(
const int i) {
+
1577 for (
size_t k = n_singular_basis + (i - 1) * nbasis_theta_proxy;
+
1578 k < n_singular_basis + i * nbasis_theta_proxy;
+
+
1580 nnz(k + 2) = n_singular_basis + (degree + i) * radial_overlap;
+
+
+
+
+
1585 Kokkos::parallel_for(
+
+
1587 Kokkos::RangePolicy<Kokkos::DefaultExecutionSpace>(
+
1588 n_singular_basis + degree * nbasis_theta_proxy,
+
1589 mat_size - degree * nbasis_theta_proxy),
+
1590 KOKKOS_LAMBDA(
const int k) { nnz(k + 2) = radial_overlap * radial_overlap; });
+
+
+
1593 Kokkos::parallel_for(
+
+
1595 Kokkos::RangePolicy<Kokkos::DefaultExecutionSpace>(1, degree + 1),
+
1596 KOKKOS_LAMBDA(
const int i) {
+
1597 for (
size_t k = mat_size - i * nbasis_theta_proxy;
+
1598 k < mat_size - (i - 1) * nbasis_theta_proxy;
+
+
1600 nnz(k + 2) = (degree + i) * radial_overlap;
+
+
+
+
+
1605 Kokkos::parallel_for(
+
+
1607 Kokkos::RangePolicy<Kokkos::DefaultExecutionSpace>(0, 1),
+
1608 KOKKOS_LAMBDA(
const int idx) {
+
1609 for (
size_t k = 1; k < mat_size; k++) {
+
1610 nnz(k + 1) += nnz(k);
+
+
+
+
+
1615 Kokkos::Profiling::popRegion();
+
-
+
Definition gauss_legendre_integration.hpp:27
Matrix class which is able to manage and solve a batch of sparse linear systems.
Definition matrix_batch_csr.hpp:37
An operator for calculating the metric tensor.
Definition metric_tensor.hpp:15
-
static KOKKOS_FUNCTION tensor_product_index_type get_2d_index(ddc::DiscreteElement< DDim > const &idx)
Get the 2D index of the tensor product bspline which, when evaluated at the same point,...
Definition polar_bsplines.hpp:153
-
BSplinesTheta BSplinesTheta_tag
The poloidal bspline from which the polar bsplines are constructed.
Definition polar_bsplines.hpp:50
-
static constexpr std::size_t n_singular_basis()
Get the number of singular bsplines i.e.
Definition polar_bsplines.hpp:103
-
static int constexpr continuity
The continuity enforced by the bsplines at the singular point.
Definition polar_bsplines.hpp:61
-
BSplinesR BSplinesR_tag
The radial bspline from which the polar bsplines are constructed.
Definition polar_bsplines.hpp:47
+
KOKKOS_FUNCTION std::array< double, 2 > to_covariant(std::array< double, 2 > const &contravariant_vector, PositionCoordinate const &coord) const
Compute the covariant vector from the contravariant vector.
Definition metric_tensor.hpp:89
+
static KOKKOS_FUNCTION tensor_product_index_type get_2d_index(ddc::DiscreteElement< DDim > const &idx)
Get the 2D index of the tensor product bspline which, when evaluated at the same point,...
Definition polar_bsplines.hpp:154
+
BSplinesTheta BSplinesTheta_tag
The poloidal bspline from which the polar bsplines are constructed.
Definition polar_bsplines.hpp:51
+
static constexpr std::size_t n_singular_basis()
Get the number of singular bsplines i.e.
Definition polar_bsplines.hpp:104
+
static int constexpr continuity
The continuity enforced by the bsplines at the singular point.
Definition polar_bsplines.hpp:62
+
BSplinesR BSplinesR_tag
The radial bspline from which the polar bsplines are constructed.
Definition polar_bsplines.hpp:48
Define an evaluator on polar B-splines.
Definition polar_spline_evaluator.hpp:13
-
Define a polar PDE solver for a Poisson-like equation.
Definition polarpoissonlikesolver.hpp:50
-
void operator()(RHSFunction const &rhs, host_t< DFieldRTheta > phi) const
Solve the Poisson-like equation.
Definition polarpoissonlikesolver.hpp:872
-
PolarSplineFEMPoissonLikeSolver(host_t< ConstSpline2D > coeff_alpha, host_t< ConstSpline2D > coeff_beta, Mapping const &mapping, SplineRThetaEvaluatorNullBound_host const &spline_evaluator)
Instantiate a polar Poisson-like solver using FEM with B-splines.
Definition polarpoissonlikesolver.hpp:268
-
void operator()(RHSFunction const &rhs, host_t< SplinePolar > &spline) const
Solve the Poisson-like equation.
Definition polarpoissonlikesolver.hpp:712
-
void init_nnz_per_line(Kokkos::View< int *, Kokkos::LayoutRight > nnz) const
Fills the nnz data structure by computing the number of non-zero per line.
Definition polarpoissonlikesolver.hpp:1228
-
Definition polarpoissonlikesolver.hpp:64
-
Definition polarpoissonlikesolver.hpp:70
-
Definition polarpoissonlikesolver.hpp:67
-
Definition polarpoissonlikesolver.hpp:73
+
Define a polar PDE solver for a Poisson-like equation.
Definition polarpoissonlikesolver.hpp:51
+
void fill_int_volume(Mapping const &mapping)
Compute the volume integrals and stores the values in a member variable.
Definition polarpoissonlikesolver.hpp:515
+
static KOKKOS_INLINE_FUNCTION void get_value_and_gradient(double &value, std::array< double, 2 > &gradient, EvalDeriv1DType const &r_basis, EvalDeriv1DType const &theta_basis)
Computes the value and gradient from r_basis and theta_basis inputs.
Definition polarpoissonlikesolver.hpp:1255
+
void compute_stencil_elements(ConstSpline2D coeff_alpha, ConstSpline2D coeff_beta, Mapping const &mapping, SplineRThetaEvaluatorNullBound const &spline_evaluator, Kokkos::View< double **, Kokkos::LayoutRight, Kokkos::HostSpace > const values_csr_host, Kokkos::View< int *, Kokkos::LayoutRight, Kokkos::HostSpace > const col_idx_csr_host, Kokkos::View< int *, Kokkos::LayoutRight, Kokkos::HostSpace > const nnz_per_row_csr_host)
Computes the matrix element corresponding to the regular stencil ie: out to singular or overlapping a...
Definition polarpoissonlikesolver.hpp:787
+
void operator()(RHSFunction const &rhs, host_t< SplinePolar > &spline) const
Solve the Poisson-like equation.
Definition polarpoissonlikesolver.hpp:904
+
void compute_overlapping_singular_elements(ConstSpline2D coeff_alpha, ConstSpline2D coeff_beta, Mapping const &mapping, SplineRThetaEvaluatorNullBound const &spline_evaluator, Kokkos::View< double **, Kokkos::LayoutRight, Kokkos::HostSpace > const values_csr_host, Kokkos::View< int *, Kokkos::LayoutRight, Kokkos::HostSpace > const col_idx_csr_host, Kokkos::View< int *, Kokkos::LayoutRight, Kokkos::HostSpace > const nnz_per_row_csr_host)
Computes the matrix element corresponding to singular elements overlapping with regular grid.
Definition polarpoissonlikesolver.hpp:648
+
PolarSplineFEMPoissonLikeSolver(ConstSpline2D coeff_alpha, ConstSpline2D coeff_beta, Mapping const &mapping, SplineRThetaEvaluatorNullBound const &spline_evaluator)
Instantiate a polar Poisson-like solver using FEM with B-splines.
Definition polarpoissonlikesolver.hpp:272
+
double get_matrix_stencil_element(IdxBSRTheta idx_test, IdxBSRTheta idx_trial, ConstSpline2D coeff_alpha, ConstSpline2D coeff_beta, SplineRThetaEvaluatorNullBound const &evaluator, Mapping const &mapping)
Computes the matrix element corresponding to two tensor product splines with index idx_test and idx_t...
Definition polarpoissonlikesolver.hpp:1397
+
static KOKKOS_INLINE_FUNCTION void get_value_and_gradient(double &value, std::array< double, 2 > &gradient, EvalDeriv2DType const &basis, EvalDeriv2DType const &)
Computes the value and gradient from r_basis and theta_basis inputs.
Definition polarpoissonlikesolver.hpp:1275
+
void operator()(RHSFunction const &rhs, DFieldRTheta phi) const
Solve the Poisson-like equation.
Definition polarpoissonlikesolver.hpp:1062
+
static KOKKOS_FUNCTION double templated_weak_integral_element(IdxQuadratureR idx_r, IdxQuadratureTheta idx_theta, TestValDerivType const &test_bspline_val_and_deriv, TrialValDerivType const &trial_bspline_val_and_deriv, TestValDerivType const &test_bspline_val_and_deriv_theta, TrialValDerivType const &trial_bspline_val_and_deriv_theta, ConstSpline2D coeff_alpha, ConstSpline2D coeff_beta, SplineRThetaEvaluatorNullBound const &spline_evaluator, Mapping const &mapping, DField< IdxRangeQuadratureRTheta > int_volume)
Computes a quadrature summand corresponding to the inner product.
Definition polarpoissonlikesolver.hpp:1320
+
static KOKKOS_FUNCTION int theta_mod(int idx_theta)
Calculates the modulo idx_theta in relation to cells number along direction .
Definition polarpoissonlikesolver.hpp:1532
+
void init_nnz_per_line(Kokkos::View< int *, Kokkos::LayoutRight > nnz) const
Fills the nnz data structure by computing the number of non-zero per line.
Definition polarpoissonlikesolver.hpp:1555
+
static KOKKOS_FUNCTION IdxRangeQuadratureRTheta get_quadrature_points_in_cell(int cell_idx_r, int cell_idx_theta)
compute the quadrature range for a given pair of indices
Definition polarpoissonlikesolver.hpp:1096
+
void compute_singular_elements(ConstSpline2D coeff_alpha, ConstSpline2D coeff_beta, Mapping const &mapping, SplineRThetaEvaluatorNullBound const &spline_evaluator, Kokkos::View< double **, Kokkos::LayoutRight, Kokkos::HostSpace > const values_csr_host, Kokkos::View< int *, Kokkos::LayoutRight, Kokkos::HostSpace > const col_idx_csr_host, Kokkos::View< int *, Kokkos::LayoutRight, Kokkos::HostSpace > const nnz_per_row_csr_host)
Computes the matrix element corresponding to the singular area.
Definition polarpoissonlikesolver.hpp:567
+
Idx< RCellDim, ThetaCellDim > IdxCell
Tag an index of cell.
Definition polarpoissonlikesolver.hpp:187
+
static KOKKOS_FUNCTION double weak_integral_element(IdxQuadratureR idx_r, IdxQuadratureTheta idx_theta, EvalDeriv2DType const &test_bspline_val_and_deriv, EvalDeriv2DType const &trial_bspline_val_and_deriv, ConstSpline2D coeff_alpha, ConstSpline2D coeff_beta, SplineRThetaEvaluatorNullBound const &evaluator, Mapping const &mapping, DField< IdxRangeQuadratureRTheta > int_volume)
compute the weak integral value.
Definition polarpoissonlikesolver.hpp:1135
+
Object storing a value and a value of the derivative of a 1D function.
Definition polarpoissonlikesolver.hpp:168
+
Object storing a value and a value of the derivatives in each direction of a 2D function.
Definition polarpoissonlikesolver.hpp:178
+
Definition polarpoissonlikesolver.hpp:65
+
Definition polarpoissonlikesolver.hpp:71
+
Definition polarpoissonlikesolver.hpp:68
+
Definition polarpoissonlikesolver.hpp:74
Definition geometry.hpp:93
Definition geometry.hpp:100
Definition geometry.hpp:116
Definition geometry.hpp:119
Definition geometry.hpp:103
-
Tag the first dimension for the quadrature mesh.
Definition polarpoissonlikesolver.hpp:82
-
Tag the second dimension for the quadrature mesh.
Definition polarpoissonlikesolver.hpp:88
+
Tag the first dimension for the quadrature mesh.
Definition polarpoissonlikesolver.hpp:83
+
Tag the second dimension for the quadrature mesh.
Definition polarpoissonlikesolver.hpp:89
A structure containing the two Chunks necessary to define a spline on a set of polar basis splines.
Definition polar_spline.hpp:20
Define non periodic real R dimension.
Definition geometry.hpp:31
Define periodic real Theta dimension.
Definition geometry.hpp:42
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index 73233c95..86dfd178 100644
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diff --git a/search/typedefs_f.js b/search/typedefs_f.js
index d6e52de7..174461d8 100644
--- a/search/typedefs_f.js
+++ b/search/typedefs_f.js
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diff --git a/structPolarSplineFEMPoissonLikeSolver_1_1QDimRMesh.html b/structPolarSplineFEMPoissonLikeSolver_1_1QDimRMesh.html
index bed912b2..8e3f1446 100644
--- a/structPolarSplineFEMPoissonLikeSolver_1_1QDimRMesh.html
+++ b/structPolarSplineFEMPoissonLikeSolver_1_1QDimRMesh.html
@@ -5,7 +5,7 @@
-
Gyselalib++: PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound_host, IdxRangeFull >::QDimRMesh Struct Reference
+
Gyselalib++: PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound, IdxRangeFull >::QDimRMesh Struct Reference
@@ -103,21 +103,21 @@
Tag the first dimension for the quadrature mesh.
More...
+Inheritance diagram for PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound, IdxRangeFull >::QDimRMesh:
-
template<class
GridR , class
GridTheta , class
PolarBSplinesRTheta , class SplineRThetaEvaluatorNullBound_host, class IdxRangeFull = IdxRange<GridR, GridTheta>>
-struct PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound_host, IdxRangeFull >::QDimRMesh
Tag the first dimension for the quadrature mesh.
+
template<class
GridR , class
GridTheta , class
PolarBSplinesRTheta , class SplineRThetaEvaluatorNullBound, class IdxRangeFull = IdxRange<GridR, GridTheta>>
+struct PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound, IdxRangeFull >::QDimRMesh
Tag the first dimension for the quadrature mesh.
The documentation for this struct was generated from the following file:
diff --git a/structPolarSplineFEMPoissonLikeSolver_1_1QDimRMesh.png b/structPolarSplineFEMPoissonLikeSolver_1_1QDimRMesh.png
index b9021f4e..16f7d775 100644
Binary files a/structPolarSplineFEMPoissonLikeSolver_1_1QDimRMesh.png and b/structPolarSplineFEMPoissonLikeSolver_1_1QDimRMesh.png differ
diff --git a/structPolarSplineFEMPoissonLikeSolver_1_1QDimThetaMesh.html b/structPolarSplineFEMPoissonLikeSolver_1_1QDimThetaMesh.html
index db88561e..cbe42bb5 100644
--- a/structPolarSplineFEMPoissonLikeSolver_1_1QDimThetaMesh.html
+++ b/structPolarSplineFEMPoissonLikeSolver_1_1QDimThetaMesh.html
@@ -5,7 +5,7 @@
-
Gyselalib++: PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound_host, IdxRangeFull >::QDimThetaMesh Struct Reference
+
Gyselalib++: PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound, IdxRangeFull >::QDimThetaMesh Struct Reference
@@ -103,21 +103,21 @@
Tag the second dimension for the quadrature mesh.
More...
+Inheritance diagram for PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound, IdxRangeFull >::QDimThetaMesh:
-
template<class
GridR , class
GridTheta , class
PolarBSplinesRTheta , class SplineRThetaEvaluatorNullBound_host, class IdxRangeFull = IdxRange<GridR, GridTheta>>
-struct PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound_host, IdxRangeFull >::QDimThetaMesh
Tag the second dimension for the quadrature mesh.
+
template<class
GridR , class
GridTheta , class
PolarBSplinesRTheta , class SplineRThetaEvaluatorNullBound, class IdxRangeFull = IdxRange<GridR, GridTheta>>
+struct PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound, IdxRangeFull >::QDimThetaMesh
Tag the second dimension for the quadrature mesh.
The documentation for this struct was generated from the following file:
diff --git a/structPolarSplineFEMPoissonLikeSolver_1_1QDimThetaMesh.png b/structPolarSplineFEMPoissonLikeSolver_1_1QDimThetaMesh.png
index 125c5847..b6c4b38e 100644
Binary files a/structPolarSplineFEMPoissonLikeSolver_1_1QDimThetaMesh.png and b/structPolarSplineFEMPoissonLikeSolver_1_1QDimThetaMesh.png differ
diff --git a/test__cases__adv__field_8hpp_source.html b/test__cases__adv__field_8hpp_source.html
index 68cf9c61..1ff9d524 100644
--- a/test__cases__adv__field_8hpp_source.html
+++ b/test__cases__adv__field_8hpp_source.html
@@ -442,8 +442,8 @@
RotationAdvectionFieldSimulation(Mapping const &mapping, double const rmin, double const rmax)
Instantiate a RotationSimulation simulation.
Definition test_cases_adv_field.hpp:427
Simulation of a translated Gaussian.
Definition test_cases_adv_field.hpp:351
TranslationAdvectionFieldSimulation(Mapping const &mapping, double const rmin, double const rmax)
Instantiate a TranslationSimulation simulation.
Definition test_cases_adv_field.hpp:363
-
Define non periodic real X velocity dimension.
Definition geometry.hpp:300
-
Define non periodic real Y velocity dimension.
Definition geometry.hpp:311
+
Define non periodic real X velocity dimension.
Definition geometry.hpp:341
+
Define non periodic real Y velocity dimension.
Definition geometry.hpp:352
diff --git a/vector__mapper_8hpp_source.html b/vector__mapper_8hpp_source.html
index 5ff2d17b..2f01b35f 100644
--- a/vector__mapper_8hpp_source.html
+++ b/vector__mapper_8hpp_source.html
@@ -238,8 +238,8 @@
VectorMapper(Mapping mapping)
A constructor for the VectorMapper.
Definition vector_mapper.hpp:54
The general predeclaration of VectorMapper.
Definition vector_mapper.hpp:14
A type describing a vector e.g. (E_x, E_y)
Definition ddc_aliases.hpp:82
-
Define non periodic real X dimension.
Definition geometry.hpp:277
-
Define non periodic real Y dimension.
Definition geometry.hpp:288
+
Define non periodic real X dimension.
Definition geometry.hpp:318
+
Define non periodic real Y dimension.
Definition geometry.hpp:329
diff --git a/vortex__merger__equilibrium_8hpp_source.html b/vortex__merger__equilibrium_8hpp_source.html
index 17f1e8d7..a36737f4 100644
--- a/vortex__merger__equilibrium_8hpp_source.html
+++ b/vortex__merger__equilibrium_8hpp_source.html
@@ -133,11 +133,11 @@
-
34 SplineRThetaEvaluatorNullBound_host>
const & m_poisson_solver;
+
34 SplineRThetaEvaluatorNullBound>
const & m_poisson_solver;
-
+
55 Mapping
const & mapping,
56 IdxRangeRTheta
const & grid,
57 SplineRThetaBuilder_host
const & builder,
@@ -146,7 +146,7 @@
-
63 SplineRThetaEvaluatorNullBound_host>
const & poisson_solver)
+
63 SplineRThetaEvaluatorNullBound>
const & poisson_solver)
@@ -164,7 +164,7 @@
111 int count_max = 25)
const
-
113 host_t<DFieldMemRTheta> phi_star(m_grid);
+
113 DFieldMemRTheta phi_star(m_grid);
114 host_t<DFieldMemRTheta> ci(m_grid);
116 IdxRangeBSRTheta idx_range_bsplinesRTheta = get_spline_idx_range(m_builder);
@@ -185,91 +185,92 @@
131 m_builder(get_field(rho_coef), get_const_field(rho_eq));
133 m_poisson_solver(poisson_rhs, get_field(phi_star));
-
-
-
-
137 double norm_Linf_phi_star(0.);
-
138 ddc::for_each(m_grid, [&](IdxRTheta
const irp) {
-
139 double const abs_phi_star = fabs(phi_star(irp));
-
-
141 = norm_Linf_phi_star > abs_phi_star ? norm_Linf_phi_star : abs_phi_star;
-
-
-
144 ddc::for_each(m_grid, [&](IdxRTheta
const irp) {
-
145 ci(irp) = phi_max / norm_Linf_phi_star;
-
-
+
134 auto phi_star_host = ddc::create_mirror_view_and_copy(get_field(phi_star));
+
+
+
+
138 double norm_Linf_phi_star(0.);
+
139 ddc::for_each(m_grid, [&](IdxRTheta
const irp) {
+
140 double const abs_phi_star = fabs(phi_star_host(irp));
+
+
142 = norm_Linf_phi_star > abs_phi_star ? norm_Linf_phi_star : abs_phi_star;
+
+
+
145 ddc::for_each(m_grid, [&](IdxRTheta
const irp) {
+
146 ci(irp) = phi_max / norm_Linf_phi_star;
+
-
-
150 difference_sigma = 0.;
-
151 ddc::for_each(m_grid, [&](IdxRTheta
const irp) {
-
152 double const abs_diff_sigma = fabs(sigma(irp) - ci(irp) * sigma(irp));
-
-
154 = difference_sigma > abs_diff_sigma ? difference_sigma : abs_diff_sigma;
-
-
156 sigma(irp) = ci(irp) * sigma(irp);
-
157 phi_eq(irp) = ci(irp) * phi_star(irp);
-
-
-
160 }
while ((difference_sigma > tau) and (count < count_max));
-
+
+
+
151 difference_sigma = 0.;
+
152 ddc::for_each(m_grid, [&](IdxRTheta
const irp) {
+
153 double const abs_diff_sigma = fabs(sigma(irp) - ci(irp) * sigma(irp));
+
+
155 = difference_sigma > abs_diff_sigma ? difference_sigma : abs_diff_sigma;
+
+
157 sigma(irp) = ci(irp) * sigma(irp);
+
158 phi_eq(irp) = ci(irp) * phi_star_host(irp);
+
+
+
161 }
while ((difference_sigma > tau) and (count < count_max));
-
-
164 ddc::for_each(m_grid, [&](IdxRTheta
const irp) {
-
165 rho_eq(irp) = sigma(irp) * function(phi_eq(irp));
-
-
-
-
169 IdxRangeR r_idx_range = get_idx_range<GridR>(rho_eq);
-
170 IdxRangeTheta theta_idx_range = get_idx_range<GridTheta>(rho_eq);
-
171 if (std::fabs(ddc::coordinate(r_idx_range.front())) < 1e-15) {
-
172 ddc::for_each(theta_idx_range, [&](
const IdxTheta ip) {
-
173 rho_eq(r_idx_range.front(), ip)
-
174 = rho_eq(r_idx_range.front(), theta_idx_range.front());
-
-
-
+
+
+
165 ddc::for_each(m_grid, [&](IdxRTheta
const irp) {
+
166 rho_eq(irp) = sigma(irp) * function(phi_eq(irp));
+
+
+
+
170 IdxRangeR r_idx_range = get_idx_range<GridR>(rho_eq);
+
171 IdxRangeTheta theta_idx_range = get_idx_range<GridTheta>(rho_eq);
+
172 if (std::fabs(ddc::coordinate(r_idx_range.front())) < 1e-15) {
+
173 ddc::for_each(theta_idx_range, [&](
const IdxTheta ip) {
+
174 rho_eq(r_idx_range.front(), ip)
+
175 = rho_eq(r_idx_range.front(), theta_idx_range.front());
+
+
+
-
-
-
-
195 host_t<DFieldRTheta> rho_eq,
-
196 std::function<
double (
double const )> function,
-
197 double const phi_max,
-
-
-
200 IdxRangeRTheta grid = get_idx_range<GridR, GridTheta>(rho_eq);
-
-
-
203 host_t<DFieldMemRTheta> sigma_0(grid);
-
204 host_t<DFieldMemRTheta> phi_eq(grid);
-
205 const double sig = 0.3;
-
206 ddc::for_each(grid, [&](IdxRTheta
const irp) {
-
207 const CoordRTheta coord_rp(ddc::coordinate(irp));
-
208 const CoordXY coord_xy(m_mapping(coord_rp));
-
209 const double x = ddc::get<X>(coord_xy);
-
210 const double y = ddc::get<Y>(coord_xy);
-
-
212 phi_eq(irp) = std::exp(-(x * x + y * y) / (2 * sig * sig));
-
-
-
-
-
-
-
-
-
+
+
+
+
196 host_t<DFieldRTheta> rho_eq,
+
197 std::function<
double (
double const )> function,
+
198 double const phi_max,
+
+
+
201 IdxRangeRTheta grid = get_idx_range<GridR, GridTheta>(rho_eq);
+
+
+
204 host_t<DFieldMemRTheta> sigma_0(grid);
+
205 host_t<DFieldMemRTheta> phi_eq(grid);
+
206 const double sig = 0.3;
+
207 ddc::for_each(grid, [&](IdxRTheta
const irp) {
+
208 const CoordRTheta coord_rp(ddc::coordinate(irp));
+
209 const CoordXY coord_xy(m_mapping(coord_rp));
+
210 const double x = ddc::get<X>(coord_xy);
+
211 const double y = ddc::get<Y>(coord_xy);
+
+
213 phi_eq(irp) = std::exp(-(x * x + y * y) / (2 * sig * sig));
+
+
+
+
+
+
+
+
+
-
+
Type of right-hand side (rhs) function of the Poisson equation.
Definition poisson_like_rhs_function.hpp:17
-
Define a polar PDE solver for a Poisson-like equation.
Definition polarpoissonlikesolver.hpp:50
+
Define a polar PDE solver for a Poisson-like equation.
Definition polarpoissonlikesolver.hpp:51
Equilibrium solution of a Vlasov-Poissson equations system in polar coordinates.
Definition vortex_merger_equilibrium.hpp:24
-
VortexMergerEquilibria(Mapping const &mapping, IdxRangeRTheta const &grid, SplineRThetaBuilder_host const &builder, SplineRThetaEvaluatorNullBound_host const &evaluator, PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound_host > const &poisson_solver)
Instantiate a VortexMergerEquilibria.
Definition vortex_merger_equilibrium.hpp:54
+
VortexMergerEquilibria(Mapping const &mapping, IdxRangeRTheta const &grid, SplineRThetaBuilder_host const &builder, SplineRThetaEvaluatorNullBound_host const &evaluator, PolarSplineFEMPoissonLikeSolver< GridR, GridTheta, PolarBSplinesRTheta, SplineRThetaEvaluatorNullBound > const &poisson_solver)
Instantiate a VortexMergerEquilibria.
Definition vortex_merger_equilibrium.hpp:54
void find_equilibrium(host_t< DFieldRTheta > sigma, host_t< DFieldRTheta > phi_eq, host_t< DFieldRTheta > rho_eq, std::function< double(double const)> const &function, double const phi_max, double const tau, int count_max=25) const
Get an equilibrium.
Definition vortex_merger_equilibrium.hpp:104
-
void set_equilibrium(host_t< DFieldRTheta > rho_eq, std::function< double(double const)> function, double const phi_max, double const tau)
Set an equilibrium.
Definition vortex_merger_equilibrium.hpp:194
+
void set_equilibrium(host_t< DFieldRTheta > rho_eq, std::function< double(double const)> function, double const phi_max, double const tau)
Set an equilibrium.
Definition vortex_merger_equilibrium.hpp:195
Definition geometry.hpp:116
Definition geometry.hpp:119