Burkardt Validation Review

[philstopford]

Review all tests against reference implementation. Unchecked entries are pending validation. Checked entries show a match to the reference.

• [x] AppliedStatistics/ASA005
• [x] AppliedStatistics/ASA006
• [x] AppliedStatistics/ASA007
• [x] AppliedStatistics/ASA032
• [x] AppliedStatistics/ASA047
• [x] AppliedStatistics/ASA053
• [x] AppliedStatistics/ASA058
• [x] AppliedStatistics/ASA063
• [x] AppliedStatistics/ASA066
• [x] AppliedStatistics/ASA076
• [x] AppliedStatistics/ASA082
• [x] AppliedStatistics/ASA091
• [x] AppliedStatistics/ASA103
• [x] AppliedStatistics/ASA109
• [x] AppliedStatistics/ASA111
• [x] AppliedStatistics/ASA113
• [x] AppliedStatistics/ASA121
• [x] AppliedStatistics/ASA136
• [x] AppliedStatistics/ASA144
• [x] AppliedStatistics/ASA147
• [x] AppliedStatistics/ASA152
• [x] AppliedStatistics/ASA159
• [x] AppliedStatistics/ASA172
• [x] AppliedStatistics/ASA183
• [x] AppliedStatistics/ASA226
• [x] AppliedStatistics/ASA239
• [x] AppliedStatistics/ASA241
• [x] AppliedStatistics/ASA243
• [x] AppliedStatistics/ASA245
• [x] AppliedStatistics/ASA266
• [x] AppliedStatistics/ASA299
• [x] AppliedStatistics/ASA310
• [x] AppliedStatistics/ASA314
• [x] Ball/BallGrid
• [x] Ball/BallIntegrals
• [x] Ball/BallMonteCarlo
• [x] Bisection/BisectionInteger
• [x] Bisection/BisectionRC
• [x] BLAS/BLAS0
• [x] BLAS/BLAS1D
• [x] BLAS/BLAS1Z
• [x] BLAS/BLAS2D
• [x] BLAS/BLAS3D
• [x] Chebyshev/Chebyshev1Rule
• [x] Chebyshev/Chebyshev2Rule
• [x] Chebyshev/ChebyshevPolynomial
• [x] Chebyshev/ChebyshevSeries
• [x] Chebyshev/Chebyshev
• [x] Circle/CircleArcGrid
• [x] Circle/CircleIntegrals
• [x] Circle/CircleMonteCarlo
• [x] Circle/CircleRules
• [x] Circle/CircleSegment
• [x] ClenshawCurtis/ClenshawCurtisGrid
• [x] ClenshawCurtis/ClenshawCurtisRule
• [x] ClenshawCurtis/ClenshawCurtis
• [x] CompressedColumn/CompressedColumnStorage
• [x] CompressedColumn/CompressedColumnToSparseTriplet
• [x] Cube/CubeExactness
• [x] Cube/CubeFelippa
• [x] Cube/CubeGrid
• [x] Cube/CubeIntegrals
• [x] Cube/CubeRule
• [x] Cycle/CycleBrent
• [x] Cycle/CycleFloyd
• [x] Diffusion/StochasticDiffusion
• [x] Disk/DiskGrid
• [x] Disk/DiskMonteCarlo
• [x] Disk/DiskRule
• [x] Ellipse/EllipseGrid
• [x] Ellipse/EllipseMonteCarlo
• [x] Ellipsoid/EllipsoidGrid
• [x] Ellipsoid/EllipsoidMonteCarlo
• [x] FDM/FD1DAdvectionDiffusionSteady
• [x] FDM/FD1DAdvectionFTCS
• [x] FDM/FD1DAdvectionLAX
• [x] FDM/FD1DAdvectionLAXWendroff
• [x] FDM/FD1DBurgersLAX
• [x] FDM/FD1DBurgersLeapfrog
• [x] FDM/FD1DHeatExplicit
• [x] FDM/FD1DHeatImplicit
• [x] FDM/FD1DHeatSteady
• [x] FDM/FD1DWave
• [x] FDM/FD2DHeatSteady
• [x] FDM/FDM1DBVP
• [x] FEM/FEM1DAdaptive
• [x] FEM/FEM1DBVPQuadratic
• [x] FEM/FEM1DBVP
• [x] FEM/FEM1DHeatSteady
• [x] FEM/FEM1DLagrange
• [x] FEM/FEM1DNonlinear
• [x] FEM/FEM1DPack
• [x] FEM/FEM1DPMethod
• [x] FEM/FEM1DProject
• [x] FEM/FEM1DSample
• [x] FEM/FEM1D
• [x] FEM/FEM2DBVPLinear
• [x] FEM/FEM2DBVPQuadratic
• [x] FEM/FEM2DBVPSerene
• [x] FEM/FEM2DPack
• [x] FEM/FEM2DProjectFunction
• [x] FEM/FEM2DProject
• [x] FEM/FEM2DSample
• [x] FEM/FEM3DPack
• [x] FEM/FEM3DProject (although note ca2566171092a56cc7d9ad3cd7a400b7966a2db8)
• [x] FEM/FEMBasis
• [x] FEM/FEMGMesh
• [x] FEM/FEMIO
• [x] FEM/FEMToTriangle
• [x] FEM/FEMXML
• [x] Hankel/HankelCholesky
• [x] Hankel/HankelSPDCholesky
• [x] Hermite/HermiteCubic
• [x] Hermite/HermiteIntegrands
• [x] Hyper/HyperballIntegrals
• [x] Hyper/HyperballMonteCarlo
• [x] Hyper/HyperballVolumeMonteCarlo
• [x] Hyper/HypercubeGrid
• [x] Hyper/HypercubeIntegrals
• [x] Hyper/HypercubeMonteCarlo
• [x] Hyper/HypersphereIntegrals
• [x] Hyper/HypersphereMonteCarlo
• [x] Hyper/Hypersphere
• [x] Image/ImageComponents
• [x] Image/ImageEdge
• [x] Integral/EllipticIntegral
• [x] Integral/GegenbauerCC
• [x] Integral/nInt
• [x] Interpolation/Shepard/Shepard1D
• [x] Interpolation/Shepard/Shepard2D
• [x] Interpolation/Shepard/ShepardnD
• [x] Interpolation/BarycentricInterp1D
• [x] Interpolation/HermiteInterpolant
• [x] Interpolation/MultivariateLagrange
• [x] Interpolation/Nearest1D
• [x] Interpolation/Newton1D
• [x] IO/GMeshIO
• [x] IO/GrfIO
• [x] IO/MandelbrotPMMA
• [x] IO/PBMAIO
• [x] IO/PBMBIO
• [x] IO/PGMBtoPGMA
• [x] IO/PGMAIO
• [x] IO/PGMBIO
• [x] IO/PPMAIO
• [x] IO/TriSurface
• [x] IO/WavefrontOBJ
• [x] Jacobi/JacobiEigenValue
• [x] Jacobi/JacobiExactness
• [x] Jacobi/JacobiPolynomial
• [x] Jacobi/JacobiRule
• [x] Jacobi/Jacobi
• [x] Lagrange/LagrangeApprox1D
• [x] Lagrange/LagrangeInterp1D
• [x] Lagrange/LagrangeInterp2D
• [x] Lagrange/LagrangeInterpnD
• [x] Laguerre/LaguerreIntegrands
• [x] Latin/LatinCenter
• [x] Latin/LatinCover
• [x] Latin/LatinEdge
• [x] Latin/Latinize
• [x] Latin/LatinRandom
• [x] Legendre/FastGausLegendre
• [x] Legendre/LegendreRuleFast
• [x] Legendre/LegendreRule
• [x] Line/LineFekete
• [x] Line/LineFelippa
• [x] Line/LineGrid
• [x] Line/LineIntegrals
• [x] Line/LineMonteCarlo
• [x] Line/LineNewtonCotesOpenQuad
• [x] Line/LineNewtonCotesQuad
• [x] LinearLeastSquares/LLSQ
• [x] Linpack/LinpackBench
• [x] Linpack/LinpackDTest
• [x] Linpack/LinpackZTest
• [x] LocalMinimum/LocalMinimumRC
• [x] Matrix/Vandermonde/Vandermonde
• [x] Matrix/MatrixCondition
• [x] Matrix/Toeplitz
• [x] Matrix/Wathen
• [x] NavierStokes/2D
• [x] NavierStokes/3D
• [x] Niederreiter/Niederreiter
• [x] Niederreiter/Niederreiter2
• [x] Noise/Colored
• [x] Noise/Pink
• [x] OrdinaryDifferentialEquation/HermitePolyChaosExpansion
• [x] OrdinaryDifferentialEquation/Humps
• [x] OrdinaryDifferentialEquation/Lorentz
• [x] OrdinaryDifferentialEquation/MidpointExplicit
• [x] OrdinaryDifferentialEquation/MidpointFixed
• [x] OrdinaryDifferentialEquation/PredatorPrey
• [x] OrdinaryDifferentialEquation/StochasticDifferential
• [x] Piecewise/Approx1D
• [x] Piecewise/Interp1D
• [x] Piecewise/Interp2DScattered
• [x] Piecewise/Interp2D
• [x] Piecewise/ProductIntegral
• [x] Polygon/PolygonGrid
• [x] Polygon/PolygonIntegrals
• [x] Polygon/PolygonMonteCarlo
• [x] Polygon/PolygonProperties
• [x] Polygon/PolygonTriangulate
• [x] Polynomial/Bernstein
• [x] Polynomial/Gegenbauer
• [x] Polynomial/Hermite
• [x] Polynomial/Laguerre
• [x] Polynomial/Legendre
• [x] Polynomial/LegendreProduct
• [x] Polynomial/LegendreShifted
• [x] Polynomial/Lobatto
• [x] Polynomial/Polynomial
• [x] Pyramid/PyramidExactness
• [x] Pyramid/PyramidFelippa
• [x] Pyramid/PyramidGrid
• [x] Pyramid/PyramidIntegrals
• [x] Pyramid/PyramidMonteCarlo
• [x] Pyramid/PyramidRule
• [ ] QuadMesh/QuadMeshRCM
• [ ] QuadMesh/QuadMesh
• [x] Quadrature/Gegenbauer
• [x] Quadrature/GenGaussLaguerre
• [x] Quadrature/Patterson
• [x] Quadrature/Power
• [x] Sampling/IHS
• [x] Sampling/Sobol
• [x] Sampling/Walker
• [ ] Sampling/Wishart
• [x] Sequence/Halton
• [x] Sequence/Hammersley
• [x] Simplex/SimplexCoords
• [x] Simplex/SimplexGrid
• [x] Simplex/SimplexGrindmannMoeller
• [x] Simplex/SimplexIntegrals
• [x] Simplex/SimplexMonteCarlo
• [x] Simulation/Poisson
• [x] Solve/BacktrackBinary
• [x] Solve/BlackScholes
• [x] Solve/ConjugateGradient
• [x] Solve/ConjugateGradientRC
• [x] Solve/Knapsack
• [x] Solve/Partition
• [x] Solve/QRSolve
• [x] Solve/RCM
• [x] Solve/Solve
• [x] Solve/SORT
• [x] Sparse/SparseCount
• [x] Sparse/SparseDisplay
• [x] Sparse/SparseGridCC
• [x] Sparse/SparseGridGL
• [x] Sparse/SparseGridHeissWinschel
• [x] Sparse/SparseGridHermite
• [x] Sparse/SparseGridLaguerre
• [x] Sparse/InterpnD
• [x] SparseTriplet/SparseTriplet
• [x] SparseTriplet/SparseTripletToCompressedColumn
• [x] Sphere/SphereFib
• [x] Sphere/SphereGrid/
• [x] Sphere/SphereIntegrals
• [x] Sphere/SphereLatLongGrid
• [x] Sphere/SphereLatLongTriGrid
• [x] Sphere/SphereLebedev
• [x] Sphere/SphereMonteCarlo
• [ ] Sphere/SphereQuad
• [x] Sphere/SphereStereograph
• [x] Square/SquareArbq
• [x] Square/SquareExactness
• [x] Square/SquareFelippa
• [x] Square/SquareGrid
• [x] Square/SquareIntegrals
• [x] Square/SquareMinimum
• [x] Square/SquareMonteCarlo
• [x] Square/SquareSymq
• [x] Tessellation/CentroidalVoronoiTessellation
• [x] Tessellation/LatinCentroidVoronoiTessellation
• [x] Tessellation/LloydCentroidVoronoiTessellation
• [x] Tetrahedron/TetMeshBoundary
• [x] Tetrahedron/TetMeshGMesh
• [x] Tetrahedron/TetMeshL2Q
• [x] Tetrahedron/TetMeshNeighbors
• [x] Tetrahedron/TetMeshQ2L
• [x] Tetrahedron/TetMeshQuad
• [x] Tetrahedron/TetMeshQuality
• [ ] Tetrahedron/TetMeshRCM
• [x] Tetrahedron/TetMeshRefine
• [x] Tetrahedron/TetMesh
• [x] Tetrahedron/TetMeshVolume
• [x] Tetrahedron/TetMeshXML
• [x] Tetrahedron/TetrahedronArbQ
• [x] Tetrahedron/TetrahedronExactness
• [x] Tetrahedron/TetrahedronGrid
• [x] Tetrahedron/TetrahedronIntegrals
• [x] Tetrahedron/TetrahedronKeast
• [x] Tetrahedron/TetrahedronMonteCarlo
• [x] Tetrahedron/TetrahedronNewtonCC
• [x] Tetrahedron/TetrahedronNewtonCO
• [x] Tetrahedron/TetrahedronProperties
• [x] TOMS/097
• [x] TOMS/112
• [x] TOMS/178
• [x] TOMS/179
• [x] TOMS/243
• [x] TOMS/291
• [x] TOMS/443
• [x] TOMS/446
• [x] TOMS/462
• [x] TOMS/515
• [x] TOMS/577
• [x] TOMS/655
• [x] TOMS/743
• [x] TOMS/886
• [x] TOMS/917
• [x] Transform/Cosine
• [x] Transform/Haar
• [x] Transform/Sine
• [x] Transform/SlowFourier
• [x] Transform/Walsh
• [x] Triangle/TriangleAnalyze
• [x] Triangle/TriangleDunavant
• [x] Triangle/TriangleExactness
• [x] Triangle/TriangleFekete
• [x] Triangle/TriangleGrid
• [x] Triangle/TriangleHistogram
• [x] Triangle/TriangleIntegrals
• [x] Triangle/TriangleInterpolate
• [x] Triangle/TriangleIO
• [x] Triangle/TriangleLyness
• [x] Triangle/TriangleMonteCarlo
• [x] Triangle/TriangleNCC
• [x] Triangle/TriangleNCO
• [x] Triangle/TriangleProperties
• [x] Triangle/TriangleRules
• [x] Triangle/TriangleSVG
• [x] Triangle/TriangleSymmQuad
• [ ] Triangle/TriangleToFEM
• [x] Triangle/TriangleTWB
• [x] Triangle/TriangleWandzura
• [ ] Triangle/TriangleXML
• [x] Triangulation/TriangulationBoundaryNodes
• [x] Triangulation/TriangulationCorner
• [x] Triangulation/TriangulationDelauneyDiscrepancy
• [x] Triangulation/TriangulationHistogram
• [x] Triangulation/TriangulationL2Q
• [x] Triangulation/TriangulationMask
• [x] Triangulation/TriangulationNodeToElement
• [x] Triangulation/TriangulationOrient
• [x] Triangulation/TriangulationPlot
• [x] Triangulation/TriangulationQ2L
• [x] Triangulation/TriangulationQuad
• [x] Triangulation/TriangulationQuality
• [x] Triangulation/TriangulationRefine
• [x] Triangulation/TriangulationSVG
• [x] Triangulation/TriangulationT3toT4
• [ ] Triangulation/Triangulation
• [x] Triangulation/TriangulationTriangleNeighbors
• [x] Vandermode/VandermodeApprox1D
• [x] Vandermode/VandermodeApprox2D
• [x] Vandermode/VandermodeInterp1D
• [x] Vandermode/VandermodeInterp2D
• [x] BellmanFord
• [x] BesselJ
• [x] BetaNC
• [x] Bins
• [x] Blend
• [x] BoxBehnken
• [x] CauchyPrincipal
• [x] CDFLib
• [x] Clausen
• [x] CNF
• [x] Combo
• [x] CompassSearch
• [x] Correlation
• [x] CyclicReduction
• [x] Differ
• [x] Dijkstra
• [x] Discrete2DPDF
• [ ] DivDif
• [ ] DREAM
• [x] Edge
• [x] Exactness
• [x] Faure
• [x] Filon
• [x] Floyd
• [x] Fullerton
• [x] GmeshToFEM
• [x] Hilbert
• [x] Index
• [x] KMeans
• [x] Kronrod
• [x] Laplacian
• [x] Lebesgue
• [x] Levenshtein
• [x] LogNormal
• [x] LogNormalTruncatedAB
• [x] MeshBandwidth
• [x] MinPack
• [x] MonteCarlo
• [x] MultiGridPoisson
• [x] nIntExactness
• [x] PDFLib
• [x] PolPak
• [x] Polyomino
• [x] PowerMethod
• [x] Probability
• [x] RandomData
• [x] Reactor
• [x] SortRC
• [x] Spline
• [x] Stroud
• [x] Subset
• [x] Table
• [x] TestValues
• [x] Treepack
• [x] TruncatedNormalRule
• [x] TruncatedNormal
• [x] Wavelet

[philstopford]

Bernoulli code paths need review.