By van der Laan C.G., Temme N.M.
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Additional info for Calculation of special functions: gamma function, exponential integrals, error-like functions
The Application Programming Interface is provided via the MCL. In turn the MCL makes use of the CL library to interface with standard message passing libraries like PVM and the user-defined Data Translation Libraries. The current DDB has implemented a Linear Interpolation Library (LIL) of routines The basic MCL communication phase has two operations, MCLGetData and MCLSendData. , one pvmfsend per consumer). Similarly, a user’s call to MCLGetData automatically receives one or many messages, pastes them together and transforms them into compatible data for the consumer’s grid using a predefined DTL routine.
H. Edelsbrunner and E. P. M¨ ucke: Simulation of simplicity—A technique to cope with degenerate cases in geometric algorithms. Proceedings of the 4th ACM Annual Symposium on Computational Geometry, Urbana-Champaign, 1988, pp. 118–133. 7. D. A. Field: Mathematical problems in solid modeling—A brief survey. G. E. ), Geometric Modeling—Algorithms and New Trends, SIAM, Philadelphia, 1987, pp. 91–107. 8. S. Fortune: Stable maintenance of point-set triangulations in two dimensions. 94–499. 9. S. Fortune: Numerical stability of algorithms for 2D Delaunay triangulations.
The partition of the plane into Voronoi region R(S; Pi ), i = 1, 2, . . , n , and their boundaries is called the Voronoi diagram for S. In the incremental algorithm, we start with the Voronoi diagram for a few points, and modify it by adding the other points one by one. An increment step proceeds in the following way. Suppose that we have already constructed the Voronoi diagram for k points, and now want to add the (k + 1)-th point. To modify the Voronoi diagram, we ﬁrst ﬁnd a cyclic list formed by the perpendicular bisectors between the new point and the neighboring old points, and next remove the substructure inside this cycle.
Calculation of special functions: gamma function, exponential integrals, error-like functions by van der Laan C.G., Temme N.M.