31 class InterpolationDDim,
42 Solver>> : std::true_type
47
48
49
81 Solver>> : std::true_type
86
87
88
128 Solver>> : std::true_type
133
134
135
148 class EvaluationDDim,
149 class LowerExtrapolationRule,
150 class UpperExtrapolationRule>
156 LowerExtrapolationRule,
157 UpperExtrapolationRule>> : std::true_type
165 class EvaluationDDim,
166 class LowerExtrapolationRule,
167 class UpperExtrapolationRule>
173 ddc::
TypeSeq<LowerExtrapolationRule, UpperExtrapolationRule>>> : std::true_type
178
179
180
194 class EvaluationDDim1,
195 class EvaluationDDim2,
196 class LowerExtrapolationRule1,
197 class UpperExtrapolationRule1,
198 class LowerExtrapolationRule2,
199 class UpperExtrapolationRule2>
207 LowerExtrapolationRule1,
208 UpperExtrapolationRule1,
209 LowerExtrapolationRule2,
210 UpperExtrapolationRule2>> : std::true_type
219 class EvaluationDDim1,
220 class EvaluationDDim2,
221 class LowerExtrapolationRule1,
222 class UpperExtrapolationRule1,
223 class LowerExtrapolationRule2,
224 class UpperExtrapolationRule2>
229 ddc::
TypeSeq<EvaluationDDim1, EvaluationDDim2>,
231 LowerExtrapolationRule1,
232 UpperExtrapolationRule1,
233 LowerExtrapolationRule2,
234 UpperExtrapolationRule2>>> : std::true_type
239
240
241
256 class EvaluationDDim1,
257 class EvaluationDDim2,
258 class EvaluationDDim3,
259 class LowerExtrapolationRule1,
260 class UpperExtrapolationRule1,
261 class LowerExtrapolationRule2,
262 class UpperExtrapolationRule2,
263 class LowerExtrapolationRule3,
264 class UpperExtrapolationRule3>
274 LowerExtrapolationRule1,
275 UpperExtrapolationRule1,
276 LowerExtrapolationRule2,
277 UpperExtrapolationRule2,
278 LowerExtrapolationRule3,
279 UpperExtrapolationRule3>> : std::true_type
289 class EvaluationDDim1,
290 class EvaluationDDim2,
291 class EvaluationDDim3,
292 class LowerExtrapolationRule1,
293 class UpperExtrapolationRule1,
294 class LowerExtrapolationRule2,
295 class UpperExtrapolationRule2,
296 class LowerExtrapolationRule3,
297 class UpperExtrapolationRule3>
302 ddc::
TypeSeq<EvaluationDDim1, EvaluationDDim2, EvaluationDDim3>,
304 LowerExtrapolationRule1,
305 UpperExtrapolationRule1,
306 LowerExtrapolationRule2,
307 UpperExtrapolationRule2,
308 LowerExtrapolationRule3,
309 UpperExtrapolationRule3>>> : std::true_type
314
315
316
329 class EvaluationDDim,
330 class ExtrapolationRule>
332 SplineEvaluatorND<ExecSpace, MemorySpace, BSplines, EvaluationDDim, ExtrapolationRule>>
338
339
340
344template <
class Builder,
class Evaluator>
357 class LowerExtrapolationRule,
358 class UpperExtrapolationRule>
360 SplineBuilder<ExecSpace, MemorySpace, BSplines, DDim, SBCLower, SBCUpper, Solver>,
366 LowerExtrapolationRule,
367 UpperExtrapolationRule>> : std::true_type
376 concepts::discrete_dimension DDimI1,
377 concepts::discrete_dimension DDimI2,
383 class LowerExtrapolationRule1,
384 class UpperExtrapolationRule1,
385 class LowerExtrapolationRule2,
386 class UpperExtrapolationRule2>
407 LowerExtrapolationRule1,
408 UpperExtrapolationRule1,
409 LowerExtrapolationRule2,
410 UpperExtrapolationRule2>> : std::true_type
430 class LowerExtrapolationRule1,
431 class UpperExtrapolationRule1,
432 class LowerExtrapolationRule2,
433 class UpperExtrapolationRule2,
434 class LowerExtrapolationRule3,
435 class UpperExtrapolationRule3>
462 LowerExtrapolationRule1,
463 UpperExtrapolationRule1,
464 LowerExtrapolationRule2,
465 UpperExtrapolationRule2,
466 LowerExtrapolationRule3,
467 UpperExtrapolationRule3>> : std::true_type
479 class LowerExtrapolationRule,
480 class UpperExtrapolationRule>
482 SplineBuilder<ExecSpace, MemorySpace, BSplines, DDim, SBCLower, SBCUpper, Solver>,
488 TypeSeq<LowerExtrapolationRule, UpperExtrapolationRule>>> : std::true_type
504 class LowerExtrapolationRule1,
505 class UpperExtrapolationRule1,
506 class LowerExtrapolationRule2,
507 class UpperExtrapolationRule2>
526 TypeSeq<LowerExtrapolationRule1,
527 UpperExtrapolationRule1,
528 LowerExtrapolationRule2,
529 UpperExtrapolationRule2>>> : std::true_type
549 class LowerExtrapolationRule1,
550 class UpperExtrapolationRule1,
551 class LowerExtrapolationRule2,
552 class UpperExtrapolationRule2,
553 class LowerExtrapolationRule3,
554 class UpperExtrapolationRule3>
575 TypeSeq<BSplines1, BSplines2, BSplines3>,
576 TypeSeq<DDimI1, DDimI2, DDimI3>,
577 TypeSeq<LowerExtrapolationRule1,
578 UpperExtrapolationRule1,
579 LowerExtrapolationRule2,
580 UpperExtrapolationRule2,
581 LowerExtrapolationRule3,
582 UpperExtrapolationRule3>>> : std::true_type
587
588
589
590
friend class DiscreteDomain
KOKKOS_DEFAULTED_FUNCTION constexpr DiscreteElement()=default
KOKKOS_FUNCTION constexpr bool operator!=(DiscreteVector< OTags... > const &rhs) const noexcept
A class which provides helper functions to initialise the Greville points from a B-Spline definition.
static ddc::DiscreteDomain< Sampling > get_domain()
Get the domain which gives us access to all of the Greville points.
Helper class for the initialisation of the mesh of interpolation points.
static auto get_sampling()
Get the sampling of interpolation points.
static ddc::DiscreteDomain< Sampling > get_domain()
Get the domain which can be used to access the interpolation points in the sampling.
A class for creating a 2D spline approximation of a function.
SplineBuilder2D(BatchedInterpolationDDom const &batched_interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder2D acting on the interpolation domain contained in batched_interpolation_domain.
void operator()(ddc::ChunkSpan< Real, batched_spline_domain_type< BatchedInterpolationDDom >, Layout, memory_space > spline, ddc::ChunkSpan< Real const, BatchedInterpolationDDom, Layout, memory_space > vals, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1< BatchedInterpolationDDom >, Layout, memory_space > > derivs_min1=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1< BatchedInterpolationDDom >, Layout, memory_space > > derivs_max1=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type2< BatchedInterpolationDDom >, Layout, memory_space > > derivs_min2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type2< BatchedInterpolationDDom >, Layout, memory_space > > derivs_max2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_min2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_min2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_max2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_max2=std::nullopt) const
Compute a 2D spline approximation of a function.
SplineBuilder2D & operator=(SplineBuilder2D const &x)=delete
Copy-assignment is deleted.
SplineBuilder2D(std::string const &label, BatchedInterpolationDDom const &batched_interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder2D acting on the interpolation domain contained in batched_interpolation_domain.
batch_domain_type< BatchedInterpolationDDom > batch_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the batch domain.
interpolation_domain_type interpolation_domain() const noexcept
Get the domain for the 2D interpolation mesh used by this class.
SplineBuilder2D(SplineBuilder2D &&x)=default
Move-constructs.
batched_spline_domain_type< BatchedInterpolationDDom > batched_spline_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the whole domain on which spline coefficients are defined.
SplineBuilder2D(interpolation_domain_type const &interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder2D acting on interpolation_domain.
~SplineBuilder2D()=default
Destructs.
SplineBuilder2D(std::string const &label, interpolation_domain_type const &interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder2D acting on interpolation_domain.
ddc::DiscreteDomain< bsplines_type1, bsplines_type2 > spline_domain() const noexcept
Get the 2D domain on which spline coefficients are defined.
SplineBuilder2D(SplineBuilder2D const &x)=delete
Copy-constructor is deleted.
BatchedInterpolationDDom batched_interpolation_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the whole domain representing interpolation points.
SplineBuilder2D & operator=(SplineBuilder2D &&x)=default
Move-assigns.
A class for creating a 3D spline approximation of a function.
BatchedInterpolationDDom batched_interpolation_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the whole domain representing interpolation points.
SplineBuilder3D(interpolation_domain_type const &interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder3D acting on interpolation_domain.
SplineBuilder3D(std::string label, BatchedInterpolationDDom const &batched_interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder3D acting on the interpolation domain contained in batched_interpolation_domain.
SplineBuilder3D & operator=(SplineBuilder3D &&x)=default
Move-assigns.
batched_spline_domain_type< BatchedInterpolationDDom > batched_spline_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the whole domain on which spline coefficients are defined.
ddc::DiscreteDomain< bsplines_type1, bsplines_type2, bsplines_type3 > spline_domain() const noexcept
Get the 3D domain on which spline coefficients are defined.
batch_domain_type< BatchedInterpolationDDom > batch_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the batch domain.
interpolation_domain_type interpolation_domain() const noexcept
Get the domain for the 3D interpolation mesh used by this class.
~SplineBuilder3D()=default
Destructs.
SplineBuilder3D & operator=(SplineBuilder3D const &x)=delete
Copy-assignment is deleted.
SplineBuilder3D(BatchedInterpolationDDom const &batched_interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder3D acting on the interpolation domain contained in batched_interpolation_domain.
void operator()(ddc::ChunkSpan< Real, batched_spline_domain_type< BatchedInterpolationDDom >, Layout, memory_space > spline, ddc::ChunkSpan< Real const, BatchedInterpolationDDom, Layout, memory_space > vals, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1< BatchedInterpolationDDom >, Layout, memory_space > > derivs_min1=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1< BatchedInterpolationDDom >, Layout, memory_space > > derivs_max1=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type2< BatchedInterpolationDDom >, Layout, memory_space > > derivs_min2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type2< BatchedInterpolationDDom >, Layout, memory_space > > derivs_max2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type3< BatchedInterpolationDDom >, Layout, memory_space > > derivs_min3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type3< BatchedInterpolationDDom >, Layout, memory_space > > derivs_max3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1_2< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_min2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1_2< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_min2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1_2< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_max2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1_2< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_max2=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type2_3< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min2_min3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type2_3< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max2_min3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type2_3< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min2_max3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type2_3< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max2_max3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1_3< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_min3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1_3< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_min3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1_3< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_max3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type1_3< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_max3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_min2_min3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_min2_min3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_max2_min3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_max2_min3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_min2_max3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_min2_max3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_min1_max2_max3=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > mixed_derivs_max1_max2_max3=std::nullopt) const
Compute a 3D spline approximation of a function.
SplineBuilder3D(std::string label, interpolation_domain_type const &interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder3D acting on interpolation_domain.
SplineBuilder3D(SplineBuilder3D const &x)=delete
Copy-constructor is deleted.
SplineBuilder3D(SplineBuilder3D &&x)=default
Move-constructs.
A class for creating a spline approximation of a function.
std::tuple< ddc::Chunk< Real, ddc::DiscreteDomain< ddc::Deriv< typename InterpolationDDim::continuous_dimension_type > >, ddc::KokkosAllocator< Real, OutMemorySpace > >, ddc::Chunk< Real, ddc::DiscreteDomain< InterpolationDDim >, ddc::KokkosAllocator< Real, OutMemorySpace > >, ddc::Chunk< Real, ddc::DiscreteDomain< ddc::Deriv< typename InterpolationDDim::continuous_dimension_type > >, ddc::KokkosAllocator< Real, OutMemorySpace > > > quadrature_coefficients() const
Compute the quadrature coefficients associated to the b-splines used by this SplineBuilder.
ddc::DiscreteDomain< bsplines_type > spline_domain() const noexcept
Get the 1D domain on which spline coefficients are defined.
SplineBuilder(BatchedInterpolationDDom const &batched_interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder acting on the interpolation domain contained by batched_interpolation_domain.
SplineBuilder(SplineBuilder const &x)=delete
Copy-constructor is deleted.
interpolation_domain_type interpolation_domain() const noexcept
Get the domain for the 1D interpolation mesh used by this class.
batched_derivs_domain_type< BatchedInterpolationDDom > batched_derivs_xmax_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the whole domain on which derivatives on upper boundary are defined.
static constexpr int s_nbe_xmin
The number of equations defining the closure relation at the lower bound.
static constexpr ddc::SplineBuilderClosure s_sbc_xmin
The closure relation implemented at the lower bound.
SplineBuilder(std::string label, BatchedInterpolationDDom const &batched_interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder acting on the interpolation domain contained by batched_interpolation_domain.
batch_domain_type< BatchedInterpolationDDom > batch_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the batch domain.
SplineBuilder & operator=(SplineBuilder &&x)=default
Move-assigns.
static constexpr int s_nbe_xmax
The number of equations defining the closure relation at the upper bound.
static constexpr SplineSolver s_spline_solver
The SplineSolver giving the backend used to perform the spline approximation.
static constexpr ddc::SplineBuilderClosure s_sbc_xmax
The closure relation implemented at the upper bound.
BatchedInterpolationDDom batched_interpolation_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the whole domain representing interpolation points.
batched_spline_domain_type< BatchedInterpolationDDom > batched_spline_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the whole domain on which spline coefficients are defined.
SplineBuilder(interpolation_domain_type const &interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder acting on interpolation_domain.
static constexpr bool s_odd
Indicates if the degree of the splines is odd or even.
void operator()(ddc::ChunkSpan< Real, batched_spline_domain_type< BatchedInterpolationDDom >, Layout, memory_space > spline, ddc::ChunkSpan< Real const, BatchedInterpolationDDom, Layout, memory_space > vals, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > derivs_xmin=std::nullopt, std::optional< ddc::ChunkSpan< Real const, batched_derivs_domain_type< BatchedInterpolationDDom >, Layout, memory_space > > derivs_xmax=std::nullopt) const
Compute a spline approximation of a function.
batched_derivs_domain_type< BatchedInterpolationDDom > batched_derivs_xmin_domain(BatchedInterpolationDDom const &batched_interpolation_domain) const noexcept
Get the whole domain on which derivatives on lower boundary are defined.
SplineBuilder(std::string label, interpolation_domain_type const &interpolation_domain, std::optional< std::size_t > cols_per_chunk=std::nullopt, std::optional< unsigned int > preconditioner_max_block_size=std::nullopt)
Build a SplineBuilder acting on interpolation_domain.
SplineBuilder(SplineBuilder &&x)=default
Move-constructs.
static constexpr int s_nbv_xmax
The number of input values defining the closure relation at the upper bound.
~SplineBuilder()=default
Destructs.
static constexpr int s_nbv_xmin
The number of input values defining the closure relation at the lower bound.
SplineBuilder & operator=(SplineBuilder const &x)=delete
Copy-assignment is deleted.
A class to evaluate, differentiate or integrate a 2D spline function.
SplineEvaluator2D(SplineEvaluator2D &&x)=default
Move-constructs.
lower_extrapolation_rule_1_type lower_extrapolation_rule_dim_1() const
Get the lower extrapolation rule along the first dimension.
void integrate(ddc::ChunkSpan< Real, BatchedDDom, Layout1, memory_space > const integrals, ddc::ChunkSpan< Real const, BatchedSplineDDom, Layout2, memory_space > const spline_coef) const
Perform batched 2D integrations of a spline function (described by its spline coefficients) along the...
SplineEvaluator2D & operator=(SplineEvaluator2D const &x)=default
Copy-assigns.
void deriv(DElem const &deriv_order, ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
Differentiate 2D spline function (described by its spline coefficients) on a mesh along the dimension...
SplineEvaluator2D(SplineEvaluator2D const &x)=default
Copy-constructs.
~SplineEvaluator2D()=default
Destructs.
void operator()(ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
Evaluate 2D spline function (described by its spline coefficients) on a mesh.
void operator()(ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
Evaluate 2D spline function (described by its spline coefficients) on a mesh.
void deriv(DElem const &deriv_order, ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
Differentiate 2D spline function (described by its spline coefficients) on a mesh along the dimension...
KOKKOS_FUNCTION Real deriv(DElem const &deriv_order, ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< Real const, spline_domain_type, Layout, memory_space > const spline_coef) const
Differentiate 2D spline function (described by its spline coefficients) at a given coordinate along t...
upper_extrapolation_rule_2_type upper_extrapolation_rule_dim_2() const
Get the upper extrapolation rule along the second dimension.
KOKKOS_FUNCTION Real operator()(ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< Real const, spline_domain_type, Layout, memory_space > const spline_coef) const
Evaluate 2D spline function (described by its spline coefficients) at a given coordinate.
upper_extrapolation_rule_1_type upper_extrapolation_rule_dim_1() const
Get the upper extrapolation rule along the first dimension.
lower_extrapolation_rule_2_type lower_extrapolation_rule_dim_2() const
Get the lower extrapolation rule along the second dimension.
SplineEvaluator2D & operator=(SplineEvaluator2D &&x)=default
Move-assigns.
SplineEvaluator2D(LowerExtrapolationRule1 const &lower_extrap_rule1, UpperExtrapolationRule1 const &upper_extrap_rule1, LowerExtrapolationRule2 const &lower_extrap_rule2, UpperExtrapolationRule2 const &upper_extrap_rule2)
Build a SplineEvaluator2D acting on batched_spline_domain.
A class to evaluate, differentiate or integrate a 3D spline function.
void operator()(ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
Evaluate 3D spline function (described by its spline coefficients) on a mesh.
KOKKOS_FUNCTION Real deriv(DElem const &deriv_order, ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< Real const, spline_domain_type, Layout, memory_space > const spline_coef) const
Differentiate 3D spline function (described by its spline coefficients) at a given coordinate along t...
upper_extrapolation_rule_1_type upper_extrapolation_rule_dim_1() const
Get the upper extrapolation rule along the first dimension.
void deriv(DElem const &deriv_order, ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
Differentiate 3D spline function (described by its spline coefficients) on a mesh along the dimension...
KOKKOS_FUNCTION Real operator()(ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< Real const, spline_domain_type, Layout, memory_space > const spline_coef) const
Evaluate 3D spline function (described by its spline coefficients) at a given coordinate.
SplineEvaluator3D & operator=(SplineEvaluator3D &&x)=default
Move-assigns.
void deriv(DElem const &deriv_order, ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
Differentiate 3D spline function (described by its spline coefficients) on a mesh along the dimension...
void operator()(ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
Evaluate 3D spline function (described by its spline coefficients) on a mesh.
upper_extrapolation_rule_3_type upper_extrapolation_rule_dim_3() const
Get the upper extrapolation rule along the third dimension.
SplineEvaluator3D(LowerExtrapolationRule1 const &lower_extrap_rule1, UpperExtrapolationRule1 const &upper_extrap_rule1, LowerExtrapolationRule2 const &lower_extrap_rule2, UpperExtrapolationRule2 const &upper_extrap_rule2, LowerExtrapolationRule3 const &lower_extrap_rule3, UpperExtrapolationRule3 const &upper_extrap_rule3)
Build a SplineEvaluator3D acting on batched_spline_domain.
~SplineEvaluator3D()=default
Destructs.
lower_extrapolation_rule_1_type lower_extrapolation_rule_dim_1() const
Get the lower extrapolation rule along the first dimension.
upper_extrapolation_rule_2_type upper_extrapolation_rule_dim_2() const
Get the upper extrapolation rule along the second dimension.
SplineEvaluator3D(SplineEvaluator3D const &x)=default
Copy-constructs.
lower_extrapolation_rule_3_type lower_extrapolation_rule_dim_3() const
Get the lower extrapolation rule along the third dimension.
SplineEvaluator3D(SplineEvaluator3D &&x)=default
Move-constructs.
lower_extrapolation_rule_2_type lower_extrapolation_rule_dim_2() const
Get the lower extrapolation rule along the second dimension.
SplineEvaluator3D & operator=(SplineEvaluator3D const &x)=default
Copy-assigns.
void integrate(ddc::ChunkSpan< Real, BatchedDDom, Layout1, memory_space > const integrals, ddc::ChunkSpan< Real const, BatchedSplineDDom, Layout2, memory_space > const spline_coef) const
Perform batched 3D integrations of a spline function (described by its spline coefficients) along the...
KOKKOS_FUNCTION Real deriv(DElem const &deriv_order, ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< Real const, ddc::DiscreteDomain< BSplines... >, Layout, memory_space > const spline_coef) const
Differentiate ND spline function (described by its spline coefficients) at a given coordinate along s...
~SplineEvaluatorND()=default
Destructs.
SplineEvaluatorND(ExtrapolationRule const &... extrap_rules)
Build a SplineEvaluatorND acting on batched_spline_domain.
SplineEvaluatorND & operator=(SplineEvaluatorND const &x)=default
Copy-assigns.
auto upper_extrapolation_rule() const
Get the upper extrapolation rule along the Ith dimension.
SplineEvaluatorND & operator=(SplineEvaluatorND &&x)=default
Move-assigns.
KOKKOS_FUNCTION Real operator()(ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< Real const, ddc::DiscreteDomain< BSplines... >, Layout, memory_space > const spline_coef) const
Evaluate ND spline function (described by its spline coefficients) at a given coordinate.
auto lower_extrapolation_rule() const
Get the lower extrapolation rule along the Ith dimension.
void deriv(DElem const &deriv_order, ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
Differentiate spline function (described by its spline coefficients) on a mesh along specified dimens...
void operator()(ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
Evaluate ND spline function (described by its spline coefficients) on a mesh.
void operator()(ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
Evaluate ND spline function (described by its spline coefficients) on a mesh.
SplineEvaluatorND(SplineEvaluatorND const &x)=default
Copy-constructs.
void integrate(ddc::ChunkSpan< Real, BatchedDDom, Layout1, memory_space > const integrals, ddc::ChunkSpan< Real const, BatchedSplineDDom, Layout2, memory_space > const spline_coef) const
Perform batched ND integrations of a spline function (described by its spline coefficients) along the...
SplineEvaluatorND(SplineEvaluatorND &&x)=default
Move-constructs.
void deriv(DElem const &deriv_order, ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
Differentiate spline function (described by its spline coefficients) on a mesh along specified dimens...
A class to evaluate, differentiate or integrate a spline function.
void deriv(DElem const &deriv_order, ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
Differentiate 1D spline function (described by its spline coefficients) on a mesh.
void operator()(ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
Evaluate a spline function (described by its spline coefficients) on a mesh.
upper_extrapolation_rule_type upper_extrapolation_rule() const
Get the upper extrapolation rule.
SplineEvaluator & operator=(SplineEvaluator const &x)=default
Copy-assigns.
void deriv(DElem const &deriv_order, ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout2, memory_space > const spline_coef) const
Differentiate 1D spline function (described by its spline coefficients) on a mesh.
SplineEvaluator & operator=(SplineEvaluator &&x)=default
Move-assigns.
void operator()(ddc::ChunkSpan< Real, BatchedInterpolationDDom, Layout1, memory_space > const spline_eval, ddc::ChunkSpan< ddc::Coordinate< CoordsDims... > const, BatchedInterpolationDDom, Layout2, memory_space > const coords_eval, ddc::ChunkSpan< Real const, batched_spline_domain_type< BatchedInterpolationDDom >, Layout3, memory_space > const spline_coef) const
Evaluate spline function (described by its spline coefficients) on a mesh.
KOKKOS_FUNCTION Real operator()(ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< Real const, spline_domain_type, Layout, memory_space > const spline_coef) const
Evaluate 1D spline function (described by its spline coefficients) at a given coordinate.
SplineEvaluator(LowerExtrapolationRule const &lower_extrap_rule, UpperExtrapolationRule const &upper_extrap_rule)
Build a SplineEvaluator acting on batched_spline_domain.
lower_extrapolation_rule_type lower_extrapolation_rule() const
Get the lower extrapolation rule.
SplineEvaluator(SplineEvaluator const &x)=default
Copy-constructs.
SplineEvaluator(SplineEvaluator &&x)=default
Move-constructs.
KOKKOS_FUNCTION Real deriv(DElem const &deriv_order, ddc::Coordinate< CoordsDims... > const &coord_eval, ddc::ChunkSpan< Real const, spline_domain_type, Layout, memory_space > const spline_coef) const
Differentiate 1D spline function (described by its spline coefficients) at a given coordinate.
void integrate(ddc::ChunkSpan< Real, BatchedDDom, Layout1, memory_space > const integrals, ddc::ChunkSpan< Real const, BatchedSplineDDom, Layout2, memory_space > const spline_coef) const
Perform batched 1D integrations of a spline function (described by its spline coefficients) along the...
~SplineEvaluator()=default
Destructs.
The top-level namespace of DDC.
constexpr bool is_spline_builder_v
A helper to check if T is a SplineBuilder.
constexpr bool is_spline_builder3d_v
A helper to check if T is a SplineBuilder3D.
constexpr bool is_uniform_bsplines_v
Indicates if a tag corresponds to uniform B-splines or not.
constexpr bool is_spline_evaluator2d_v
A helper to check if T is a SplineEvaluator2D.
SplineSolver
An enum determining the backend solver of a SplineBuilder or SplineBuilder2d.
@ LAPACK
Enum member to identify the LAPACK-based solver (direct method)
@ GINKGO
Enum member to identify the Ginkgo-based solver (iterative method)
constexpr bool is_spline_builder2d_v
A helper to check if T is a SplineBuilder2D.
constexpr int n_boundary_equations(ddc::SplineBuilderClosure const sbc, std::size_t const degree)
Return the number of equations needed to describe a given closure relation.
constexpr bool is_spline_evaluator_v
A helper to check if T is a SplineEvaluator.
ddc::ChunkSpan< Real, ddc::DiscreteDomain< DDim >, Layout, MemorySpace > integrals(ExecSpace const &execution_space, ddc::ChunkSpan< Real, ddc::DiscreteDomain< DDim >, Layout, MemorySpace > int_vals)
Compute the integrals of the B-splines.
constexpr bool is_non_uniform_bsplines_v
Indicates if a tag corresponds to non-uniform B-splines or not.
constexpr bool is_spline_evaluatornd_v
A helper to check if T is a SplineEvaluatorND.
constexpr bool is_evaluator_admissible_v
A helper to check if SplineEvaluator is admissible for SplineBuilder.
SplineBuilderClosure
An enum representing a spline closure relation.
@ HOMOGENEOUS_HERMITE
Homogeneous Hermite closure relation (derivatives are 0)
@ GREVILLE
Use Greville points instead of conditions on derivative for B-Spline interpolation.
@ HERMITE
Hermite closure relation.
@ PERIODIC
Periodic closure relation u(1)=u(n)
constexpr bool is_spline_evaluator3d_v
A helper to check if T is a SplineEvaluator3D.
If the type DDim is a B-spline, defines type to the discrete dimension of the associated knots.
A compile-time sequence of types.
A templated struct representing a discrete dimension storing the derivatives of a function along a co...