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WeightedSampleElimination object + outputpoints = wse.Eliminate + Nc = outputPoints.size + xc < outputPoints.x, outputPoints.y> + +operator() + +checkArguments() +} + +class cyHeap_h { + +Build() + +get() + +set() + +move() + +clear() + +pop() + +copy() +} + +class cyPointCloud_h { + PointData points + pointCount + PointType + numInternal + DIMENSIONS + +PointCloud() constructor + +Build() + +BuildKDTree() + +getPoints() + +getClosest() + + +} + +class buildInterpOp_m { + row + col + interp_wghts + Nf + Nc +} + +class cyVector_h{ + +operators() + +math functions() +} + +class cySampleElim_h { + bounds + weightLimiting + TilePoint + +WeightedSampleElimination() + +Eliminate() + +SetTiling() + +SetWeightLimiting() + +GetParameters() + +GetMaxPoissonDiskRadius() + +} + +class cyCore_h { + +core functions() + +vector functions() + +math functions() + +memory operators() +} + +class polynomialBasis2D_m { + +} + +class mgm_afun_m { + +matrix vector multiply function() +} + +class mgm_multilevel_m { + // V-cycle solver + num_vcycles + num_levels + smooths + defect + deltaH <> + rh <> + fh + uh + +} + +class mgm_standalone_m { + // standalone solver + iterations + residual + tolerance + uh + fh + rh + flag + +} + +class gmres_m { + // gmres solver function for + // system of linear equations +} + +class bicg { + // BiCGSTAB solver function for + // system of linear equations +} + + +note top of constructor_m + Preprocessing Phase: + Compute number of levels + Poisson disc algorithm coarsens levels + Each level stored as point cloud + Compute interpolator/restriction operators +end note + +DriverScript_m -u-> gallery_m : 1. call switch case +gallery_m -d-> DriverScript_m : 2. return sanitized data +DriverScript_m -r-> mgm2D_m : 3. Build mgm2D object\n with gallery data +mgm2D_m -u-|> mgm_m : implements +mgm2D_m -r-> constructor_m : 4. call constructor +constructor_m -r-> PcCoarsen2D_cpp : 5. calls PcCoarsen2D +PcCoarsen2D_cpp -r-> cySampleElim_h : 6. call wse constructor(), Eliminate() +cySampleElim_h -r-> cyCore_h +cySampleElim_h -d-> cyHeap_h : 7. Coarsening algorithm \n uses priority queue \n of nearest neighbors +cySampleElim_h --> cyPointCloud_h : 8. construct a point cloud \n as a KD-tree \n after each coarsen \n step (n levels) +cyPointCloud_h --> cyVector_h +constructor_m --> buildInterpOp_m : 9. Build operators at each level +buildInterpOp_m --> polynomialBasis2D_m +constructor_m --> mgm2D_m : 10. return multilevel data \n (struct of operators \n and point clouds) +mgm2D_m -d-> solve_m : 11. LevelsData mgm2D object\n pass to Solver +solve_m --> solve_m : 12. Iterate up to n levels \n and solve using \n helper classes +solve_m -l-> mgm_afun_m +solve_m --> mgm_multilevel_m +solve_m --> mgm_standalone_m +solve_m --> gmres_m +solve_m --> bicg +mgm_standalone_m --> mgm_multilevel_m +solve_m -u-> DriverScript_m : 13. Return final solution \n to driver script\n (u^h, residual, iterations) + +@enduml \ No newline at end of file