11module ApproxFunFourier
2- using Base, LinearAlgebra, Reexport, AbstractFFTs, FFTW, InfiniteArrays, FastTransforms, IntervalSets,
2+ using Base, LinearAlgebra, Reexport, AbstractFFTs, FFTW, InfiniteArrays, FastTransforms, IntervalSets,
33 DomainSets
4-
4+
55@reexport using ApproxFunBase
66
77import AbstractFFTs: Plan, fft, ifft
@@ -12,44 +12,44 @@ import ApproxFunBase: normalize!, flipsign, FiniteRange, Fun, MatrixFun, UnsetSp
1212 UnivariateSpace, AmbiguousSpace, SumSpace, SubSpace, WeightSpace, NoSpace, Space,
1313 HeavisideSpace, PointSpace,
1414 IntervalOrSegment, RaggedMatrix, AlmostBandedMatrix,
15- AnyDomain, ZeroSpace, ArraySpace, TrivialInterlacer, BlockInterlacer,
15+ AnyDomain, ZeroSpace, ArraySpace, TrivialInterlacer, BlockInterlacer,
1616 AbstractTransformPlan, TransformPlan, ITransformPlan,
1717 ConcreteConversion, ConcreteMultiplication, ConcreteDerivative, ConcreteIntegral, CalculusOperator,
1818 ConcreteVolterra, Volterra, VolterraWrapper,
1919 MultiplicationWrapper, ConversionWrapper, DerivativeWrapper, Evaluation, EvaluationWrapper,
20- Conversion, defaultConversion, defaultcoefficients, default_Fun, Multiplication, Derivative, Integral, bandwidths,
20+ Conversion, defaultConversion, defaultcoefficients, default_Fun, Multiplication, Derivative, Integral, bandwidths,
2121 ConcreteEvaluation, ConcreteDefiniteLineIntegral, ConcreteDefiniteIntegral, ConcreteIntegral,
2222 DefiniteLineIntegral, DefiniteIntegral, ConcreteDefiniteIntegral, ConcreteDefiniteLineIntegral, IntegralWrapper,
23- ReverseOrientation, ReverseOrientationWrapper, ReverseWrapper, Reverse, NegateEven,
23+ ReverseOrientation, ReverseOrientationWrapper, ReverseWrapper, Reverse, NegateEven,
2424 Dirichlet, ConcreteDirichlet, DirichletWrapper,
2525 TridiagonalOperator, SubOperator, Space, @containsconstants , spacescompatible,
26- hasfasttransform, canonicalspace, domain, setdomain, prectype, domainscompatible,
27- plan_transform, plan_itransform, plan_transform!, plan_itransform!, transform, itransform, hasfasttransform,
26+ hasfasttransform, canonicalspace, domain, setdomain, prectype, domainscompatible,
27+ plan_transform, plan_itransform, plan_transform!, plan_itransform!, transform, itransform, hasfasttransform,
2828 CanonicalTransformPlan, ICanonicalTransformPlan,
29- Integral,
30- domainspace, rangespace,
31- union_rule, conversion_rule, maxspace_rule, conversion_type, maxspace, hasconversion, points,
32- rdirichlet, ldirichlet, lneumann, rneumann, ivp, bvp,
33- linesum, differentiate, integrate, linebilinearform, bilinearform,
29+ Integral,
30+ domainspace, rangespace,
31+ union_rule, conversion_rule, maxspace_rule, conversion_type, maxspace, hasconversion, points,
32+ rdirichlet, ldirichlet, lneumann, rneumann, ivp, bvp,
33+ linesum, differentiate, integrate, linebilinearform, bilinearform,
3434 UnsetNumber, coefficienttimes, subspace_coefficients, sumspacecoefficients, specialfunctionnormalizationpoint,
3535 Segment, IntervalOrSegmentDomain, PiecewiseSegment, isambiguous, Vec, eps, isperiodic,
3636 arclength, complexlength,
3737 invfromcanonicalD, fromcanonical, tocanonical, fromcanonicalD, tocanonicalD, canonicaldomain, setcanonicaldomain, mappoint,
3838 reverseorientation, checkpoints, evaluate, mul_coefficients, coefficients, coefficientmatrix, isconvertible,
3939 clenshaw, ClenshawPlan, sineshaw,
40- toeplitz_getindex, toeplitz_axpy!, sym_toeplitz_axpy!, hankel_axpy!, ToeplitzOperator, SymToeplitzOperator, hankel_getindex,
40+ toeplitz_getindex, toeplitz_axpy!, sym_toeplitz_axpy!, hankel_axpy!, ToeplitzOperator, SymToeplitzOperator, hankel_getindex,
4141 SpaceOperator, ZeroOperator, InterlaceOperator,
4242 interlace!, reverseeven!, negateeven!, cfstype, pad!, alternatesign!, mobius,
4343 extremal_args, hesseneigvals, chebyshev_clenshaw, recA, recB, recC, roots,splitatroots,
4444 chebmult_getindex, intpow, alternatingsum,
4545 domaintype, diagindshift, rangetype, weight, isapproxinteger, default_Dirichlet, scal!, dotu,
4646 components, promoterangespace, promotedomainspace, choosedomainspace,
4747 block, blockstart, blockstop, blocklengths, isblockbanded, pointscompatible,
48- AbstractProductSpace, MultivariateFun, BivariateSpace,
48+ AbstractProductSpace, MultivariateFun, BivariateSpace,
4949 @wrapperstructure , @wrapperspaces , @wrapper , @calculus_operator , resizedata!, slnorm, affine_setdiff,
5050 complexroots, EmptyDomain, RectDomain
5151
52-
52+
5353import DomainSets: Domain, indomain, UnionDomain, ProductDomain, FullSpace, Point, elements, DifferenceDomain,
5454 Interval, ChebyshevInterval, boundary, ∂, rightendpoint, leftendpoint,
5555 dimension
@@ -69,13 +69,13 @@ import Base: values, convert, getindex, setindex!, *, +, -, ==, <, <=, >, |, !,
6969import LinearAlgebra: BlasInt, BlasFloat, norm, ldiv!, mul!, det, eigvals, dot, cross,
7070 qr, qr!, rank, isdiag, istril, istriu, issymmetric, ishermitian,
7171 Tridiagonal, diagm, diagm_container, factorize, nullspace,
72- Hermitian, Symmetric, adjoint, transpose, char_uplo
72+ Hermitian, Symmetric, adjoint, transpose, char_uplo
7373
74- import InfiniteArrays: InfRanges, AbstractInfUnitRange, OneToInf
74+ import InfiniteArrays: InfRanges, AbstractInfUnitRange, OneToInf
7575
7676import FastTransforms: ChebyshevTransformPlan, IChebyshevTransformPlan, plan_chebyshevtransform,
7777 plan_chebyshevtransform!, plan_ichebyshevtransform, plan_ichebyshevtransform!
78-
78+
7979
8080export Fourier, Taylor, Hardy, CosSpace, SinSpace, Laurent, PeriodicDomain
8181
@@ -612,6 +612,6 @@ function Fun(T::ToeplitzOperator)
612612 Fun (Laurent (Circle ()),interlace (T. nonnegative,T. negative))
613613 end
614614 end
615-
615+
616616
617617end # module
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