├── AUTHORS ├── COPYING ├── COPYRIGHT ├── ChangeLog ├── Eigen ├── Array ├── CMakeLists.txt ├── Cholesky ├── CholmodSupport ├── Core ├── Dense ├── Eigen ├── Eigen2Support ├── Eigenvalues ├── Geometry ├── Householder ├── IterativeLinearSolvers ├── Jacobi ├── LU ├── LeastSquares ├── MetisSupport ├── OrderingMethods ├── PaStiXSupport ├── PardisoSupport ├── QR ├── QtAlignedMalloc ├── SPQRSupport ├── SVD ├── Sparse ├── SparseCholesky ├── SparseCore ├── SparseLU ├── SparseQR ├── StdDeque ├── StdList ├── StdVector ├── SuperLUSupport ├── UmfPackSupport └── src │ ├── CMakeLists.txt │ ├── Cholesky │ ├── CMakeLists.txt │ ├── LDLT.h │ ├── LLT.h │ └── LLT_MKL.h │ ├── CholmodSupport │ ├── CMakeLists.txt │ └── CholmodSupport.h │ ├── Core │ ├── Array.h │ ├── ArrayBase.h │ ├── ArrayWrapper.h │ ├── Assign.h │ ├── Assign_MKL.h │ ├── BandMatrix.h │ ├── Block.h │ ├── BooleanRedux.h │ ├── CMakeLists.txt │ ├── CommaInitializer.h │ ├── CoreIterators.h │ ├── CwiseBinaryOp.h │ ├── CwiseNullaryOp.h │ ├── CwiseUnaryOp.h │ ├── CwiseUnaryView.h │ ├── DenseBase.h │ ├── DenseCoeffsBase.h │ ├── DenseStorage.h │ ├── Diagonal.h │ ├── DiagonalMatrix.h │ ├── DiagonalProduct.h │ ├── Dot.h │ ├── EigenBase.h │ ├── Flagged.h │ ├── ForceAlignedAccess.h │ ├── Functors.h │ ├── Fuzzy.h │ ├── GeneralProduct.h │ ├── GenericPacketMath.h │ ├── GlobalFunctions.h │ ├── IO.h │ ├── Map.h │ ├── MapBase.h │ ├── MathFunctions.h │ ├── Matrix.h │ ├── MatrixBase.h │ ├── NestByValue.h │ ├── NoAlias.h │ ├── NumTraits.h │ ├── PermutationMatrix.h │ ├── PlainObjectBase.h │ ├── ProductBase.h │ ├── Random.h │ ├── Redux.h │ ├── Ref.h │ ├── Replicate.h │ ├── ReturnByValue.h │ ├── Reverse.h │ ├── Select.h │ ├── SelfAdjointView.h │ ├── SelfCwiseBinaryOp.h │ ├── SolveTriangular.h │ ├── StableNorm.h │ ├── Stride.h │ ├── Swap.h │ ├── Transpose.h │ ├── Transpositions.h │ ├── TriangularMatrix.h │ ├── VectorBlock.h │ ├── VectorwiseOp.h │ ├── Visitor.h │ ├── arch │ │ ├── AltiVec │ │ │ ├── CMakeLists.txt │ │ │ ├── Complex.h │ │ │ └── PacketMath.h │ │ ├── CMakeLists.txt │ │ ├── Default │ │ │ ├── CMakeLists.txt │ │ │ └── Settings.h │ │ ├── NEON │ │ │ ├── CMakeLists.txt │ │ │ ├── Complex.h │ │ │ └── PacketMath.h │ │ └── SSE │ │ │ ├── CMakeLists.txt │ │ │ ├── Complex.h │ │ │ ├── MathFunctions.h │ │ │ └── PacketMath.h │ ├── products │ │ ├── CMakeLists.txt │ │ ├── CoeffBasedProduct.h │ │ ├── GeneralBlockPanelKernel.h │ │ ├── GeneralMatrixMatrix.h │ │ ├── GeneralMatrixMatrixTriangular.h │ │ ├── GeneralMatrixMatrixTriangular_MKL.h │ │ ├── GeneralMatrixMatrix_MKL.h │ │ ├── GeneralMatrixVector.h │ │ ├── GeneralMatrixVector_MKL.h │ │ ├── Parallelizer.h │ │ ├── SelfadjointMatrixMatrix.h │ │ ├── SelfadjointMatrixMatrix_MKL.h │ │ ├── SelfadjointMatrixVector.h │ │ ├── SelfadjointMatrixVector_MKL.h │ │ ├── SelfadjointProduct.h │ │ ├── SelfadjointRank2Update.h │ │ ├── TriangularMatrixMatrix.h │ │ ├── TriangularMatrixMatrix_MKL.h │ │ ├── TriangularMatrixVector.h │ │ ├── TriangularMatrixVector_MKL.h │ │ ├── TriangularSolverMatrix.h │ │ ├── TriangularSolverMatrix_MKL.h │ │ └── TriangularSolverVector.h │ └── util │ │ ├── BlasUtil.h │ │ ├── CMakeLists.txt │ │ ├── Constants.h │ │ ├── DisableStupidWarnings.h │ │ ├── ForwardDeclarations.h │ │ ├── MKL_support.h │ │ ├── Macros.h │ │ ├── Memory.h │ │ ├── Meta.h │ │ ├── NonMPL2.h │ │ ├── ReenableStupidWarnings.h │ │ ├── StaticAssert.h │ │ └── XprHelper.h │ ├── Eigen2Support │ ├── Block.h │ ├── CMakeLists.txt │ ├── Cwise.h │ ├── CwiseOperators.h │ ├── Geometry │ │ ├── AlignedBox.h │ │ ├── All.h │ │ ├── AngleAxis.h │ │ ├── CMakeLists.txt │ │ ├── Hyperplane.h │ │ ├── ParametrizedLine.h │ │ ├── Quaternion.h │ │ ├── Rotation2D.h │ │ ├── RotationBase.h │ │ ├── Scaling.h │ │ ├── Transform.h │ │ └── Translation.h │ ├── LU.h │ ├── Lazy.h │ ├── LeastSquares.h │ ├── Macros.h │ ├── MathFunctions.h │ ├── Memory.h │ ├── Meta.h │ ├── Minor.h │ ├── QR.h │ ├── SVD.h │ ├── TriangularSolver.h │ └── VectorBlock.h │ ├── Eigenvalues │ ├── CMakeLists.txt │ ├── ComplexEigenSolver.h │ ├── ComplexSchur.h │ ├── ComplexSchur_MKL.h │ ├── EigenSolver.h │ ├── GeneralizedEigenSolver.h │ ├── GeneralizedSelfAdjointEigenSolver.h │ ├── HessenbergDecomposition.h │ ├── MatrixBaseEigenvalues.h │ ├── RealQZ.h │ ├── RealSchur.h │ ├── RealSchur_MKL.h │ ├── SelfAdjointEigenSolver.h │ ├── SelfAdjointEigenSolver_MKL.h │ └── Tridiagonalization.h │ ├── Geometry │ ├── AlignedBox.h │ ├── AngleAxis.h │ ├── CMakeLists.txt │ ├── EulerAngles.h │ ├── Homogeneous.h │ ├── Hyperplane.h │ ├── OrthoMethods.h │ ├── ParametrizedLine.h │ ├── Quaternion.h │ ├── Rotation2D.h │ ├── RotationBase.h │ ├── Scaling.h │ ├── Transform.h │ ├── Translation.h │ ├── Umeyama.h │ └── arch │ │ ├── CMakeLists.txt │ │ └── Geometry_SSE.h │ ├── Householder │ ├── BlockHouseholder.h │ ├── CMakeLists.txt │ ├── Householder.h │ └── HouseholderSequence.h │ ├── IterativeLinearSolvers │ ├── BasicPreconditioners.h │ ├── BiCGSTAB.h │ ├── CMakeLists.txt │ ├── ConjugateGradient.h │ ├── IncompleteLUT.h │ └── IterativeSolverBase.h │ ├── Jacobi │ ├── CMakeLists.txt │ └── Jacobi.h │ ├── LU │ ├── CMakeLists.txt │ ├── Determinant.h │ ├── FullPivLU.h │ ├── Inverse.h │ ├── PartialPivLU.h │ ├── PartialPivLU_MKL.h │ └── arch │ │ ├── CMakeLists.txt │ │ └── Inverse_SSE.h │ ├── MetisSupport │ ├── CMakeLists.txt │ └── MetisSupport.h │ ├── OrderingMethods │ ├── Amd.h │ ├── CMakeLists.txt │ ├── Eigen_Colamd.h │ └── Ordering.h │ ├── PaStiXSupport │ ├── CMakeLists.txt │ └── PaStiXSupport.h │ ├── PardisoSupport │ ├── CMakeLists.txt │ └── PardisoSupport.h │ ├── QR │ ├── CMakeLists.txt │ ├── ColPivHouseholderQR.h │ ├── ColPivHouseholderQR_MKL.h │ ├── FullPivHouseholderQR.h │ ├── HouseholderQR.h │ └── HouseholderQR_MKL.h │ ├── SPQRSupport │ ├── CMakeLists.txt │ └── SuiteSparseQRSupport.h │ ├── SVD │ ├── CMakeLists.txt │ ├── JacobiSVD.h │ ├── JacobiSVD_MKL.h │ └── UpperBidiagonalization.h │ ├── SparseCholesky │ ├── CMakeLists.txt │ ├── SimplicialCholesky.h │ └── SimplicialCholesky_impl.h │ ├── SparseCore │ ├── AmbiVector.h │ ├── CMakeLists.txt │ ├── CompressedStorage.h │ ├── ConservativeSparseSparseProduct.h │ ├── MappedSparseMatrix.h │ ├── SparseBlock.h │ ├── SparseColEtree.h │ ├── SparseCwiseBinaryOp.h │ ├── SparseCwiseUnaryOp.h │ ├── SparseDenseProduct.h │ ├── SparseDiagonalProduct.h │ ├── SparseDot.h │ ├── SparseFuzzy.h │ ├── SparseMatrix.h │ ├── SparseMatrixBase.h │ ├── SparsePermutation.h │ ├── SparseProduct.h │ ├── SparseRedux.h │ ├── SparseSelfAdjointView.h │ ├── SparseSparseProductWithPruning.h │ ├── SparseTranspose.h │ ├── SparseTriangularView.h │ ├── SparseUtil.h │ ├── SparseVector.h │ ├── SparseView.h │ └── TriangularSolver.h │ ├── SparseLU │ ├── CMakeLists.txt │ ├── SparseLU.h │ ├── SparseLUImpl.h │ ├── SparseLU_Memory.h │ ├── SparseLU_Structs.h │ ├── SparseLU_SupernodalMatrix.h │ ├── SparseLU_Utils.h │ ├── SparseLU_column_bmod.h │ ├── SparseLU_column_dfs.h │ ├── SparseLU_copy_to_ucol.h │ ├── SparseLU_gemm_kernel.h │ ├── SparseLU_heap_relax_snode.h │ ├── SparseLU_kernel_bmod.h │ ├── SparseLU_panel_bmod.h │ ├── SparseLU_panel_dfs.h │ ├── SparseLU_pivotL.h │ ├── SparseLU_pruneL.h │ └── SparseLU_relax_snode.h │ ├── SparseQR │ ├── CMakeLists.txt │ └── SparseQR.h │ ├── StlSupport │ ├── CMakeLists.txt │ ├── StdDeque.h │ ├── StdList.h │ ├── StdVector.h │ └── details.h │ ├── SuperLUSupport │ ├── CMakeLists.txt │ └── SuperLUSupport.h │ ├── UmfPackSupport │ ├── CMakeLists.txt │ └── UmfPackSupport.h │ ├── misc │ ├── CMakeLists.txt │ ├── Image.h │ ├── Kernel.h │ ├── Solve.h │ ├── SparseSolve.h │ └── blas.h │ └── plugins │ ├── ArrayCwiseBinaryOps.h │ ├── ArrayCwiseUnaryOps.h │ ├── BlockMethods.h │ ├── CMakeLists.txt │ ├── CommonCwiseBinaryOps.h │ ├── CommonCwiseUnaryOps.h │ ├── MatrixCwiseBinaryOps.h │ └── MatrixCwiseUnaryOps.h ├── INSTALL ├── Makefile ├── Makefile.Darwin ├── Makefile.Linux ├── Makefile.Msys2 ├── Makefile.common ├── Makefile.old ├── README ├── S4 ├── Interpolator.c ├── Interpolator.h ├── Patterning.cpp ├── Patterning.hpp ├── RNP │ ├── Eigensystems.cpp │ ├── Eigensystems.h │ ├── Eigensystems_essl.h │ ├── Eigensystems_lapack.h │ ├── IO.h │ ├── LinearSolve.h │ ├── LinearSolve_lapack.h │ ├── TBLAS.h │ ├── TBLAS_acml.h │ ├── TBLAS_ext.h │ ├── TLASupport.h │ └── powidf2.c ├── S4.cpp ├── S4.h ├── S4_internal.h ├── SpecialFunction.hpp ├── SpectrumSampler.c ├── SpectrumSampler.h ├── config.h ├── convert.c ├── convert.h ├── cubature.c ├── cubature.h ├── debug.h ├── ext_lua.c ├── ext_lua.h ├── fmm │ ├── fft_iface.cpp │ ├── fft_iface.h │ ├── fmm.h │ ├── fmm_FFT.cpp │ ├── fmm_PolBasisJones.cpp │ ├── fmm_PolBasisNV.cpp │ ├── fmm_PolBasisVL.cpp │ ├── fmm_closed.cpp │ ├── fmm_common.cpp │ ├── fmm_experimental.cpp │ └── fmm_kottke.cpp ├── gsel.c ├── gsel.h ├── kiss_fft │ ├── _kiss_fft_guts.h │ ├── kiss_fft.c │ ├── kiss_fft.h │ └── tools │ │ ├── Makefile │ │ ├── fftutil.c │ │ ├── kfc.c │ │ ├── kfc.h │ │ ├── kiss_fftnd.c │ │ ├── kiss_fftnd.h │ │ ├── kiss_fftndr.c │ │ ├── kiss_fftndr.h │ │ ├── kiss_fftr.c │ │ ├── kiss_fftr.h │ │ └── psdpng.c ├── main_lua.c ├── main_python.c ├── numalloc.c ├── numalloc.h ├── pattern │ ├── intersection.c │ ├── intersection.h │ ├── pattern.c │ ├── pattern.h │ └── predicates.c ├── rcwa.cpp ├── rcwa.h ├── sort.c └── sort.h ├── S4r ├── Debug.hpp ├── Eigensystems.cpp ├── Eigensystems.hpp ├── IRA.cpp ├── IRA.hpp ├── LatticeGridArb.cpp ├── LatticeGridRect.cpp ├── Layer.cpp ├── Layer.hpp ├── Material.cpp ├── Material.hpp ├── POFF2Mesh.cpp ├── PeriodicMesh.cpp ├── PeriodicMesh.hpp ├── Pseudoinverse.cpp ├── Pseudoinverse.hpp ├── S4r.cpp ├── S4r.hpp ├── Shape.cpp ├── Shape.hpp ├── Simulation.cpp ├── Simulation.hpp ├── Simulation_working.cpp ├── StarProduct.hpp ├── Types.hpp ├── intersection.c ├── intersection.h ├── lua_named_arg.c ├── lua_named_arg.h ├── main_lua.c ├── periodic_off2.c ├── periodic_off2.h ├── predicates.c └── version.h ├── TODO ├── doc ├── Capi.md ├── Makefile ├── S4v2lua.md ├── build │ ├── doctrees │ │ ├── changelog.doctree │ │ ├── citing.doctree │ │ ├── dev_info.doctree │ │ ├── environment.pickle │ │ ├── faq.doctree │ │ ├── index.doctree │ │ ├── install.doctree │ │ ├── license.doctree │ │ ├── lua_api.doctree │ │ ├── python_api.doctree │ │ ├── tutorial.doctree │ │ └── units.doctree │ └── html │ │ ├── .buildinfo │ │ ├── _images │ │ ├── schem_640.png │ │ └── spec.png │ │ ├── _sources │ │ ├── changelog.txt │ │ ├── citing.txt │ │ ├── dev_info.txt │ │ ├── faq.txt │ │ ├── index.txt │ │ ├── install.txt │ │ ├── license.txt │ │ ├── lua_api.txt │ │ ├── python_api.txt │ │ ├── tutorial.txt │ │ └── units.txt │ │ ├── _static │ │ ├── ajax-loader.gif │ │ ├── basic.css │ │ ├── comment-bright.png │ │ ├── comment-close.png │ │ ├── comment.png │ │ ├── default.css │ │ ├── doctools.js │ │ ├── down-pressed.png │ │ ├── down.png │ │ ├── file.png │ │ ├── jquery.js │ │ ├── minus.png │ │ ├── plus.png │ │ ├── pygments.css │ │ ├── s4.png │ │ ├── searchtools.js │ │ ├── sidebar.js │ │ ├── underscore.js │ │ ├── up-pressed.png │ │ ├── up.png │ │ └── websupport.js │ │ ├── changelog.html │ │ ├── citing.html │ │ ├── dev_info.html │ │ ├── faq.html │ │ ├── genindex.html │ │ ├── index.html │ │ ├── install.html │ │ ├── license.html │ │ ├── lua-modindex.html │ │ ├── lua_api.html │ │ ├── objects.inv │ │ ├── py-modindex.html │ │ ├── python_api.html │ │ ├── search.html │ │ ├── searchindex.js │ │ ├── tutorial.html │ │ └── units.html ├── index.md ├── make.bat └── source │ ├── changelog.rst │ ├── citing.rst │ ├── conf.py │ ├── dev_info.rst │ ├── faq.rst │ ├── index.rst │ ├── install.rst │ ├── license.rst │ ├── lua_api.rst │ ├── plot_spec.plt │ ├── python_api.rst │ ├── s4.png │ ├── schem_640.png │ ├── spec.dat │ ├── spec.eps │ ├── spec.png │ ├── tutorial.rst │ └── units.rst ├── docold ├── Makefile.am ├── Makefile.in ├── S4.1 ├── bugs.html ├── bugs.md ├── calc.html ├── changelog.html ├── changelog.md ├── dev_info.html ├── dev_info.md ├── faq.html ├── faq.md ├── formulations.html ├── formulations.md ├── formulations.txt ├── index.html ├── index.md ├── license.html ├── license.md ├── make_html.sh ├── s4.css ├── s4.png ├── s4_lua_api.html └── s4_lua_api.md ├── examples ├── 0d │ ├── Antonoyiannakis_PRB_60_1999 │ │ ├── fig3_4.lua │ │ └── fig6.lua │ ├── Sakaguchi_OptComm_162_64_1999 │ │ └── table1m2g2.lua │ └── fabry_perot │ │ ├── fresnel.lua │ │ ├── slab_resonances.lua │ │ ├── tir.lua │ │ ├── tir_field.lua │ │ └── transmission_spectrum.lua ├── 1d │ ├── Bi_OE_18_11969_2010 │ │ └── fig3a.lua │ ├── Christ_PRB_70_125113_2004 │ │ └── fig2b.lua │ ├── Liu_OE_17_21897_2009 │ │ ├── fig2a.lua │ │ ├── fig3a.lua │ │ ├── fig3b.lua │ │ ├── fig3c.lua │ │ ├── fig3d.lua │ │ ├── fig3e.lua │ │ ├── fig3f.lua │ │ └── fig4e.lua │ ├── Oliva_OE_19_14735_2011 │ │ └── fig1c.lua │ ├── Pietarinen_OE_14_2583_2006 │ │ └── fig2a.lua │ └── README ├── 2d │ ├── Fan_PRB_65_2002 │ │ ├── fig12.R │ │ └── fig12.lua │ ├── Li_JOSA_14_2758_1997 │ │ ├── ex1_new.lua │ │ ├── ex1_normal.lua │ │ ├── ex1_orig.lua │ │ ├── ex2.lua │ │ └── ex3.lua │ ├── Suh_APL_82_1999_2003 │ │ ├── fig2a.lua │ │ └── fig2b.lua │ └── Tikhodeev_PRB_66_45102_2002 │ │ └── fig4.lua ├── C_api │ ├── Makefile │ ├── main.c │ ├── spec.awk │ └── spec.awk.out ├── Integrate │ └── integrate.lua ├── MPI_example │ ├── README │ ├── binary_grating_mpi.lua │ └── mpi_simple.lua ├── README ├── convergence │ ├── 1d │ │ └── binary_grating.lua │ ├── Li_JOSA_14_2758_1997 │ │ ├── ex1 │ │ │ ├── cellA.lua │ │ │ └── cellB.lua │ │ └── ex2 │ │ │ └── fig2.lua │ └── resonance_pos │ │ └── ref.lua ├── interpolator │ └── interpolator.lua ├── magneto │ ├── halfspace.lua │ └── slab.lua ├── patterns │ ├── circle.lua │ ├── composite.lua │ ├── ellipse.lua │ ├── nonorth.lua │ ├── polygon.lua │ └── rectangle.lua ├── polarization_basis │ ├── square.lua │ └── tri.lua ├── simple │ └── simple.lua ├── spectrum_sampler │ └── sampler.lua └── threading │ └── parallel.lua ├── ext ├── R │ ├── Makefile │ └── S4v2 │ │ ├── DESCRIPTION │ │ ├── NAMESPACE │ │ ├── R │ │ └── S4v2.R │ │ ├── man │ │ ├── S4_Layer_GetPowerFlux.Rd │ │ ├── S4_Layer_GetWaves.Rd │ │ ├── S4_Layer_SetRegionHalfwidths.Rd │ │ ├── S4_Layer_SetRegionVertices.Rd │ │ ├── S4_Simulation.Rd │ │ ├── S4_Simulation_AddLayer.Rd │ │ ├── S4_Simulation_AddMaterial.Rd │ │ ├── S4_Simulation_ExcitationPlanewave.Rd │ │ ├── S4_Simulation_GetEpsilon.Rd │ │ ├── S4_Simulation_New.Rd │ │ ├── S4_Simulation_SetFrequency.Rd │ │ └── S4v2-package.Rd │ │ └── src │ │ ├── Makevars │ │ └── S4v2.c └── matlab │ ├── S4Layer.m │ ├── S4Material.m │ ├── S4Simulation.m │ ├── S4mex.c │ ├── mex_command.txt │ └── test.m ├── gensetup.py.sh ├── modules ├── Makefile ├── Makefile.lua ├── Makefile.osx ├── Makefile.python ├── Sample2D.lua ├── Sample2DBox.lua ├── function_sampler_1d.c ├── function_sampler_1d.h ├── function_sampler_2d.c ├── function_sampler_2d.h ├── lua_function_sampler_1d.c ├── lua_function_sampler_2d.c ├── predicates.c ├── py_function_sampler_1d.c ├── py_function_sampler_2d.c ├── setup.py ├── test_sampler1.lua ├── test_sampler1.py ├── test_sampler2.lua └── test_sampler2.py ├── pretty_trace.pl ├── testing ├── Lapack_thread_test │ ├── Makefile 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