Index

_

__add__() (nutils.elementseq.References method) (nutils.matrix.Matrix method) (nutils.pointsseq.PointsSequence method) (nutils.transformseq.Transforms method) (nutils.types.frozenmultiset method) __and__() (nutils.types.frozenmultiset method) __bool__() (nutils.elementseq.References method) (nutils.pointsseq.PointsSequence method) __call__() (nutils.expression_v1.Namespace method) __contains__() (nutils.transformseq.Transforms method) __delattr__() (nutils.expression_v1.Namespace method) __eq__() (nutils.types.Singleton method) __getattr__() (nutils.expression_v1.Namespace method) __getitem__() (nutils.elementseq.References method) (nutils.pointsseq.PointsSequence method) (nutils.transformseq.Transforms method) __getstate__() (nutils.expression_v1.Namespace method) __init__() (nutils.sample.Sample method) (nutils.topology.HierarchicalTopology method) (nutils.topology.MultipatchTopology method) (nutils.topology.StructuredTopology method) __iter__() (nutils.elementseq.References method) (nutils.function.Array method) (nutils.pointsseq.PointsSequence method) (nutils.transformseq.Transforms method) __len__() (nutils.elementseq.References method) (nutils.function.Array method) (nutils.pointsseq.PointsSequence method) (nutils.transformseq.Transforms method) __matmul__() (nutils.matrix.Matrix method) __mul__() (nutils.element.Reference method) (nutils.elementseq.References method) (nutils.matrix.Matrix method) (nutils.points.Points method) (nutils.pointsseq.PointsSequence method)

__neg__() (nutils.matrix.Matrix method) __rmatmul__() (nutils.expression_v1.Namespace method) __setattr__() (nutils.expression_v1.Namespace method) __setstate__() (nutils.expression_v1.Namespace method) __str__() (nutils.topology.StructuredTopology method) (nutils.topology.Topology method) __sub__() (nutils.types.frozenmultiset method) __weakref__ (nutils.cache.Wrapper attribute) (nutils.cache.WrapperCache attribute) (nutils.evaluable.AsEvaluableArray attribute) (nutils.expression_v2.Namespace attribute) (nutils.function.Lowerable attribute) (nutils.matrix.Matrix attribute) (nutils.matrix.MatrixError attribute) (nutils.parallel.range attribute) (nutils.solver.iterable attribute) (nutils.types.attributes attribute) (nutils.types.c_array attribute) (nutils.types.strict attribute) (nutils.util.positional_only attribute) (nutils.util.single_or_multiple attribute) (nutils.util.tri_interpolator attribute) (nutils.warnings.NutilsWarning attribute) (nutils.warnings.via attribute) __wrapped__ (nutils.solver.minimize attribute) (nutils.solver.newton attribute) (nutils.solver.pseudotime attribute) (nutils.solver.thetamethod attribute)

A

abs() (in module nutils.function) accumulate() (in module nutils.numeric) add() (in module nutils.function) (in module nutils.sparse) add_T() (in module nutils.function) (nutils.function.Array method) align() (in module nutils.evaluable) appendaxes() (in module nutils.evaluable) apply() (nutils.transform.EvaluableTransformChain method) apply_annotations() (in module nutils.types) ArcCos (class in nutils.evaluable) arccos() (in module nutils.function) ArcSin (class in nutils.evaluable) arcsin() (in module nutils.function) ArcTan (class in nutils.evaluable) arctan() (in module nutils.function) arctan2() (in module nutils.function) arctanh() (in module nutils.function) arg_shapes (nutils.expression_v1.Namespace attribute)

Argument (class in nutils.evaluable) (class in nutils.function) argument_canonicalizer() (in module nutils.types) arguments (nutils.evaluable.Evaluable attribute) (nutils.function.Array attribute) Array (class in nutils.evaluable) (class in nutils.function) arraydata (class in nutils.types) as_evaluable_array (nutils.evaluable.Array property) (nutils.evaluable.AsEvaluableArray property) asarray() (in module nutils.function) asboolean() (in module nutils.numeric) asciitree() (nutils.evaluable.Evaluable method) AsEvaluableArray (class in nutils.evaluable) asfunction() (nutils.sample.Sample method) aspreprocessor() (in module nutils.types) assertAlmostEqual64() (nutils.testing.TestCase method) assparse (nutils.evaluable.Array attribute) attributes (class in nutils.types) Axis (class in nutils.transformseq)

B

BackendNotAvailable Basis (class in nutils.function) basis (nutils.transform.EvaluableTransformChain property) basis() (nutils.sample.Sample method) (nutils.topology.HierarchicalTopology method) (nutils.topology.Topology method) basis_bernstein() (nutils.topology.TransformChainsTopology method) basis_bubble() (nutils.topology.SimplexTopology method) basis_discont() (nutils.topology.Topology method) basis_lagrange() (nutils.topology.TransformChainsTopology method) basis_patch() (nutils.topology.MultipatchTopology method) basis_spline() (nutils.topology.MultipatchTopology method) (nutils.topology.StructuredTopology method)

basis_std() (nutils.topology.TransformChainsTopology method) binaryfile() (in module nutils.util) block() (in module nutils.sparse) boundary (nutils.topology.HierarchicalTopology attribute) (nutils.topology.MultipatchTopology attribute) (nutils.topology.StructuredTopology attribute) (nutils.topology.Topology property) boundary_spaces() (nutils.topology.Topology method) boundary_spaces_unchecked() (nutils.topology.Topology method) broadcast_arrays() (in module nutils.function) broadcast_shapes() (in module nutils.function) broadcast_to() (in module nutils.function) build_boundarydata() (nutils.topology.MultipatchTopology static method)

C

c_array (class in nutils.types) CacheMeta (class in nutils.types) cast() (nutils.function.Array class method) chain() (in module nutils.function) (in module nutils.transformseq) (nutils.elementseq.References method) (nutils.pointsseq.PointsSequence method) ChainedTransforms (class in nutils.transformseq) children (nutils.elementseq.References property) Choose (class in nutils.evaluable) choose() (in module nutils.cli) (in module nutils.function) (nutils.function.Array method) compress() (nutils.elementseq.References method) (nutils.pointsseq.PointsSequence method) (nutils.topology.Topology method) concatenate() (in module nutils.function) ConcatPoints (class in nutils.points) Cone (class in nutils.element) ConePoints (class in nutils.points) ConnectedTopology (class in nutils.topology)

contains() (nutils.function.Array method) (nutils.transformseq.Transforms method) contains_with_tail() (nutils.transformseq.Transforms method) ContextTestCase (in module nutils.testing) contract() (in module nutils.numeric) coords (nutils.points.Points attribute) CoordsPoints (class in nutils.points) CoordsUniformPoints (class in nutils.points) CoordsWeightsPoints (class in nutils.points) copy_() (nutils.expression_v1.Namespace method) (nutils.expression_v2.Namespace method) Cos (class in nutils.evaluable) cos() (in module nutils.function) cosh() (in module nutils.function) create() (in module nutils.unit) cross() (in module nutils.function) ctxrange() (in module nutils.parallel) curl() (in module nutils.function) (nutils.function.Array method) curvature() (in module nutils.function) (nutils.function.Array method) Custom (class in nutils.function)

D

dedup() (in module nutils.sparse) default_geometry (nutils.expression_v1.Namespace property) default_geometry_name (nutils.expression_v1.Namespace attribute) define_for() (nutils.expression_v2.Namespace method) dependencies (nutils.evaluable.Evaluable attribute) dependencytree (nutils.evaluable.Evaluable attribute) derivative() (in module nutils.evaluable) (in module nutils.function) (nutils.function.Array method) DerivativeTargetBase (class in nutils.evaluable) DerivedTransforms (class in nutils.transformseq) determinant() (in module nutils.function) diagonalize() (in module nutils.function) (in module nutils.numeric) disable() (in module nutils.cache) DiscontBasis (class in nutils.function)

disjoint_union() (nutils.topology.Topology method) DisjointUnionTopology (class in nutils.topology) div() (in module nutils.function) (nutils.function.Array method) divide() (in module nutils.function) divmod() (in module nutils.function) dot() (in module nutils.evaluable) (in module nutils.function) (in module nutils.numeric) (nutils.evaluable.Array method) (nutils.function.Array method) dotarg() (in module nutils.function) dotnorm() (in module nutils.function) (nutils.function.Array method) dtype (nutils.evaluable.Array attribute) (nutils.function.Array attribute) dtype() (in module nutils.sparse)

E

edges (nutils.elementseq.References property) edges() (nutils.transformseq.Transforms method) eig() (in module nutils.function) einsum() (in module nutils.evaluable) Elemwise() (in module nutils.function) empty() (in module nutils.sparse) (nutils.elementseq.References static method) (nutils.pointsseq.PointsSequence static method) (nutils.topology.Topology static method) (nutils.transform.EvaluableTransformChain static method) empty_like() (nutils.topology.Topology method) EmptyLike (class in nutils.element) EmptyTopology (class in nutils.topology) EmptyTransforms (class in nutils.transformseq) enable() (in module nutils.cache) equal() (in module nutils.function) equalindex() (in module nutils.evaluable) equalshape() (in module nutils.evaluable) eval() (in module nutils.function) (nutils.evaluable.Evaluable method) (nutils.function.Array method) (nutils.sample.Sample method)

eval_integrals() (in module nutils.sample) eval_integrals_sparse() (in module nutils.sample) eval_sparse() (in module nutils.evaluable) (nutils.sample.Sample method) eval_withtimes() (nutils.evaluable.Evaluable method) evalf (nutils.evaluable.ArcCos attribute) (nutils.evaluable.ArcSin attribute) (nutils.evaluable.ArcTan attribute) (nutils.evaluable.Cos attribute) (nutils.evaluable.Sin attribute) (nutils.evaluable.Tan attribute) evalf() (nutils.function.Custom class method) Evaluable (class in nutils.evaluable) EvaluableConstant (class in nutils.evaluable) EvaluableTransformChain (class in nutils.transform) exp() (in module nutils.function) expand_dims() (in module nutils.function) export() (nutils.matrix.Matrix method) ext() (in module nutils.numeric) extract() (in module nutils.sparse) eye() (in module nutils.function)

F

f_coords (nutils.topology.Topology property) f_index (nutils.topology.Topology property) Find (class in nutils.evaluable) floor_divide() (in module nutils.function) fork() (in module nutils.parallel) from_argument() (nutils.transform.EvaluableTransformChain static method) from_iter() (nutils.elementseq.References static method) (nutils.pointsseq.PointsSequence static method)

fromarray() (in module nutils.sparse) fromdims (nutils.transform.EvaluableTransformChain attribute) (nutils.transformseq.Transforms attribute) fromfunc() (in module nutils.mesh) frozenarray() (in module nutils.types) frozendict (class in nutils.types) frozenmultiset (class in nutils.types) full() (in module nutils.numeric) function() (in module nutils.cache)

G

gauss1() (in module nutils.points) gauss2() (in module nutils.points) gauss3() (in module nutils.points) get() (in module nutils.function) (in module nutils.numeric) (nutils.elementseq.References method) (nutils.pointsseq.PointsSequence method) get_coefficients() (nutils.function.Basis method) get_dofs() (nutils.function.Basis method) get_evaluable() (nutils.transformseq.Transforms method)

get_evaluable_indices() (nutils.sample.Sample method) get_groups() (nutils.topology.Topology method) get_ndofs() (nutils.function.Basis method) get_support() (nutils.function.Basis method) getindex() (nutils.sample.Sample method) getpoints() (nutils.elementseq.References method) gmsh() (in module nutils.mesh) grad() (in module nutils.function) (nutils.function.Array method) greater() (in module nutils.function) Guard (class in nutils.evaluable)

H

hashable_function() (in module nutils.types) heaviside() (in module nutils.function) HierarchicalTopology (class in nutils.topology)

hull (nutils.points.Points attribute) (nutils.pointsseq.PointsSequence attribute) (nutils.sample.Sample property)

I

Identifier (class in nutils.transform) IdentifierDerivativeTarget (class in nutils.evaluable) IdentifierTransforms (class in nutils.transformseq) Identity (class in nutils.transform) Immutable (class in nutils.types) implements() (in module nutils.function) index() (in module nutils.util) (nutils.transformseq.Transforms method) index_with_tail() (nutils.transformseq.Transforms method) index_with_tail_in() (nutils.transform.EvaluableTransformChain method) indicator() (nutils.topology.Topology method) indices() (in module nutils.sparse) insertaxis() (in module nutils.function) integral() (nutils.sample.Sample method) (nutils.topology.Topology method) integrate() (nutils.sample.Sample method) (nutils.topology.Topology method)

integrate_elementwise() (nutils.topology.Topology method) integrate_sparse() (nutils.sample.Sample method) interfaces (nutils.topology.HierarchicalTopology attribute) (nutils.topology.MultipatchTopology attribute) (nutils.topology.StructuredTopology attribute) interfaces_spaces() (nutils.topology.Topology method) interfaces_spaces_unchecked() (nutils.topology.Topology method) Interpolate (class in nutils.evaluable) inv() (in module nutils.numeric) Inverse (class in nutils.evaluable) inverse() (in module nutils.function) invmap() (in module nutils.numeric) isarray() (in module nutils.function) isuniform (nutils.elementseq.References property) iterable (class in nutils.solver) ix() (in module nutils.numeric)

J

J() (in module nutils.function)

jacobian() (in module nutils.function) jump() (in module nutils.function)

K

kronecker() (in module nutils.function)

L

laplace() (in module nutils.function) (nutils.function.Array method) Legendre (class in nutils.evaluable) LegendreBasis (class in nutils.function) less() (in module nutils.function) levicivita() (in module nutils.function) (in module nutils.numeric) linear (nutils.transform.EvaluableTransformChain property) LineReference (class in nutils.element)

LineSearch (class in nutils.solver) ln() (in module nutils.function) loadlib() (in module nutils.util) locate() (nutils.topology.Topology method) log() (in module nutils.function) log10() (in module nutils.function) log2() (in module nutils.function) lower() (nutils.function.Lowerable method) Lowerable (class in nutils.function) lru_cache() (in module nutils.types)

M

MaskedBasis (class in nutils.function) MaskedTransforms (class in nutils.transformseq) matmat() (in module nutils.function) matmul() (in module nutils.function) Matrix (class in nutils.matrix) (class in nutils.transform) MatrixError max() (in module nutils.function) maxprocs() (in module nutils.parallel) mean() (in module nutils.function) MedianBased (class in nutils.solver) meshgrid() (in module nutils.numeric) min() (in module nutils.function) minimize (class in nutils.solver) mod() (in module nutils.function) module nutils.cache nutils.cli nutils.debug_flags nutils.element nutils.elementseq nutils.evaluable nutils.export nutils.expression_v1 nutils.expression_v2 nutils.function nutils.matrix nutils.mesh nutils.numeric nutils.parallel nutils.points nutils.pointsseq nutils.sample nutils.solver nutils.sparse nutils.testing nutils.topology nutils.transform nutils.transformseq nutils.types nutils.unit nutils.util nutils.warnings

MosaicReference (class in nutils.element) mplfigure() (in module nutils.export) multipatch() (in module nutils.mesh) MultipatchTopology (class in nutils.topology) multiply() (in module nutils.function)

N

name (nutils.function.Argument attribute) Namespace (class in nutils.expression_v1) (class in nutils.expression_v2) NanVec (class in nutils.util) ndim (nutils.evaluable.Array attribute) (nutils.function.Array attribute) ndim() (in module nutils.sparse) ndims (nutils.pointsseq.PointsSequence attribute) (nutils.topology.Topology attribute) negative() (in module nutils.function) new() (nutils.sample.Sample static method) newton (class in nutils.solver) ngrad() (in module nutils.function) (nutils.function.Array method) norm2() (in module nutils.function) Normal (class in nutils.evaluable) normal() (in module nutils.function) (nutils.function.Array method) normalize() (in module nutils.numeric) normalized() (in module nutils.function) (nutils.function.Array method) NormBased (class in nutils.solver) normdim() (in module nutils.numeric) NPoints (class in nutils.evaluable) npoints (nutils.pointsseq.PointsSequence attribute) nsymgrad() (in module nutils.function) (nutils.function.Array method) nutils.cache module nutils.cli module nutils.debug_flags module nutils.element module nutils.elementseq module nutils.evaluable module nutils.export module nutils.expression_v1 module

nutils.expression_v2 module nutils.function module nutils.matrix module nutils.mesh module nutils.numeric module nutils.parallel module nutils.points module nutils.pointsseq module nutils.sample module nutils.solver module nutils.sparse module nutils.testing module nutils.topology module nutils.transform module nutils.transformseq module nutils.types module nutils.unit module nutils.util module nutils.warnings module nutils_hash() (in module nutils.types) NutilsDeprecationWarning NutilsInefficiencyWarning NutilsWarning

O

obj2str() (in module nutils.util) ones() (in module nutils.function) onhull (nutils.points.Points attribute) opposite() (in module nutils.function) OppositeTopology (class in nutils.topology)

optimize() (in module nutils.solver) ordereddeps (nutils.evaluable.Evaluable attribute) outer() (in module nutils.function) (nutils.evaluable.Pointwise class method) overlapping() (in module nutils.numeric) OwnChildReference (class in nutils.element)

P

pack() (in module nutils.numeric) parametrize() (in module nutils.testing) parse() (in module nutils.expression_v1) parsegmsh() (in module nutils.mesh) partial_derivative() (nutils.function.Custom class method) partition() (in module nutils.function) piecewise() (in module nutils.function) PlainBasis (class in nutils.function) PlainTransforms (class in nutils.transformseq) PointReference (class in nutils.element) Points (class in nutils.points) PointsSequence (class in nutils.pointsseq) Pointwise (class in nutils.evaluable) Polyval (class in nutils.evaluable)

positional_only (class in nutils.util) positive() (in module nutils.function) power() (in module nutils.function) prependaxes() (in module nutils.evaluable) PrintHandler (class in nutils.testing) prod() (nutils.function.Array method) product() (in module nutils.function) (nutils.elementseq.References method) (nutils.points.Points method) (nutils.pointsseq.PointsSequence method) project() (nutils.topology.Topology method) projection() (nutils.topology.Topology method) prune() (in module nutils.sparse) PrunedBasis (class in nutils.function) pseudotime (class in nutils.solver)

R

range (class in nutils.parallel) ravel() (in module nutils.function) readtext() (in module nutils.util) reciprocal() (in module nutils.function) rectilinear() (in module nutils.mesh) Recursion (class in nutils.cache) Reference (class in nutils.element) References (class in nutils.elementseq) references (nutils.topology.Topology attribute) refine() (nutils.topology.Topology method) refine_count() (nutils.topology.Topology method) refine_spaces() (nutils.topology.Topology method) refine_spaces_count() (nutils.topology.Topology method) refine_spaces_unchecked() (nutils.topology.Topology method) refined (nutils.topology.MultipatchTopology attribute) (nutils.topology.StructuredTopology property)

refined() (nutils.transformseq.Transforms method) refined_by() (nutils.topology.Topology method) RefinedTopology (class in nutils.topology) ReorderedTransforms (class in nutils.transformseq) repeat() (in module nutils.function) (nutils.elementseq.References method) (nutils.pointsseq.PointsSequence method) replace() (in module nutils.evaluable) (nutils.function.Array method) replace_arguments() (in module nutils.evaluable) (in module nutils.function) result_type() (in module nutils.sparse) resume() (nutils.cache.Recursion method) resume_index() (nutils.cache.Recursion method) rootcoords() (in module nutils.function) rowsupp() (nutils.matrix.Matrix method) run() (in module nutils.cli)

S

Sample (class in nutils.sample) sample() (nutils.topology.Topology method) (nutils.topology.TransformChainsTopology method) Sampled (class in nutils.evaluable) Scale (class in nutils.transform) scatter() (in module nutils.function) settable (class in nutils.util) setup() (in module nutils.cli) shape (nutils.evaluable.Array attribute) (nutils.function.Array attribute) shape() (in module nutils.sparse) shempty() (in module nutils.parallel) Shift (class in nutils.transform) shzeros() (in module nutils.parallel) sign() (in module nutils.function) simplex() (in module nutils.mesh) SimplexBezierPoints (class in nutils.points) SimplexGaussPoints (class in nutils.points) SimplexReference (class in nutils.element) SimplexTopology (class in nutils.topology) Sin (class in nutils.evaluable) sin() (in module nutils.function) single_or_multiple (class in nutils.util) single_or_multiple() (in module nutils.solver) Singleton (class in nutils.types) sinh() (in module nutils.function) size (nutils.function.Array property) slice() (nutils.topology.Topology method) solve() (nutils.matrix.Matrix method) (nutils.solver.withsolve method)

solve_leniently() (nutils.matrix.Matrix method) solve_linear() (in module nutils.solver) solve_withinfo() (nutils.solver.withsolve method) space_dims (nutils.topology.Topology attribute) spaces (nutils.function.Array attribute) (nutils.topology.Topology attribute) SparseArray (class in nutils.evaluable) sqrt() (in module nutils.function) Square (class in nutils.transform) stack() (in module nutils.function) strict (class in nutils.types) strictfloat() (in module nutils.types) strictint() (in module nutils.types) strictstr() (in module nutils.types) StructuredBasis (class in nutils.function) StructuredTopology (class in nutils.topology) StructuredTransforms (class in nutils.transformseq) submatrix() (nutils.matrix.Matrix method) subset() (nutils.sample.Sample method) (nutils.topology.Topology method) SubsetTopology (class in nutils.topology) subtract() (in module nutils.function) sum() (in module nutils.evaluable) (in module nutils.function) (nutils.evaluable.Array method) (nutils.function.Array method) surfgrad() (in module nutils.function) swapaxes() (in module nutils.function) (nutils.function.Array method) symgrad() (in module nutils.function) (nutils.function.Array method)

T

T (nutils.function.Array property) (nutils.matrix.Matrix property) take() (in module nutils.function) (in module nutils.sparse) (nutils.elementseq.References method) (nutils.pointsseq.PointsSequence method) (nutils.topology.Topology method) takediag() (in module nutils.function) Tan (class in nutils.evaluable) tan() (in module nutils.function) tangent() (in module nutils.function) (nutils.function.Array method) tanh() (in module nutils.function) TensorPoints (class in nutils.points) TensorReference (class in nutils.element) TestCase (class in nutils.testing) TetrahedronReference (class in nutils.element) thetamethod (class in nutils.solver) toarray() (in module nutils.sparse) todims (nutils.transform.EvaluableTransformChain attribute) (nutils.transformseq.Transforms attribute)

ToleranceNotReached Topology (class in nutils.topology) trace() (in module nutils.function) TransformChainsTopology (class in nutils.topology) TransformItem (class in nutils.transform) TransformPoints (class in nutils.points) Transforms (class in nutils.transformseq) transpose() (in module nutils.function) (nutils.function.Array method) tri (nutils.points.Points attribute) (nutils.pointsseq.PointsSequence attribute) (nutils.sample.Sample property) tri_interpolator (class in nutils.util) tri_merge() (in module nutils.util) TriangleReference (class in nutils.element) TrigNormal (class in nutils.evaluable) TrigTangent (class in nutils.evaluable) trim() (nutils.element.Reference method) (nutils.topology.Topology method) tuple (class in nutils.types) typecast_arrays() (in module nutils.function)

U

unalign() (in module nutils.evaluable) unchain() (nutils.transformseq.Transforms method) uniform() (nutils.elementseq.References static method) (nutils.pointsseq.PointsSequence static method) UniformDerivedTransforms (class in nutils.transformseq)

UnionTopology (class in nutils.topology) unique() (in module nutils.util) unitsquare() (in module nutils.mesh) unpack() (in module nutils.numeric) unravel() (in module nutils.function) Updim (class in nutils.transform)

V

values() (in module nutils.sparse) vectorize() (in module nutils.function)

via (class in nutils.warnings) vtk() (in module nutils.export)

W

weights (nutils.points.Points attribute) WithChildrenReference (class in nutils.element) WithDerivative (class in nutils.evaluable)

WithGroupsTopology (class in nutils.topology) withsolve (class in nutils.solver) Wrapper (class in nutils.cache) WrapperCache (class in nutils.cache)

Z

Zeros (class in nutils.evaluable)

zeros() (in module nutils.function)