Download Algorithms and Data Structures: With Applications to by Jurg Nievergelt PDF

By Jurg Nievergelt

In keeping with the authors' wide educating of algorithms and knowledge buildings, this article goals to teach a pattern of the highbrow calls for required through a working laptop or computer technological know-how curriculum, and to give matters and result of lasting price, rules that might outlive the present new release of pcs. pattern workouts, many with options, are incorporated in the course of the ebook.

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Additional info for Algorithms and Data Structures: With Applications to Graphics and Geometry

Example text

4. B=2, P=1 5 N1=5, RI=10 N2=7, R2=50 N3=11, R3=20 .. 3 continued Chap. 3 Chap. 3 continued PROGRAMMING PROJECTS 1. 2. 2. 3. 3. Extend your graphics frame program with a set of dialog control operations sufficient to guide the user through the various steps of the animation of recurrence relations: in particular, to Algorithm Animation 30 B=2, P= 12 Nl=3. RI=40 Chap. 3 *: N2=5,' R2=20 N3=7, R3=1 0 Iterations: 3088 . .. : 14. , by clicking the mouse or hitting a specific key)]. PART 11 PROGRAMMING CONCEPTS: BEYOND NOTATION Thoughts on the Role of Programming Notations A programming language is the main interface between a programmer and the physical machine, and a novice programmer will tend to identify "programming" with "programming in the particular language she has learned".

But designing an adequate graphic representation is hard and requires a creative effort for each algorithm-that is where animators/programmers will spend the bulk of their effort. More on this topic in [NVH 86]. 2 EXAMPLE: THE CONVEX HULL OF POINTS IN THE PLANE The following program is an illustrative example for algorithm animation. 'ConvexHull' animates an on-line algorithm that constructs half the convex hull (say, the upper half) of a set of points presented incrementally. It accepts one point at a time, which must lie to Sec.

Rk to yield R. This algorithmic principle of divide-and-conquer leads naturally to the notion of recursive procedures. The following example outlines the concept in a high-level notation, highlighting the role of parameters and local variables. 44 Sec. 2 Divide-and-Conquer Expressed as a Diagram: Merge Sort 45 procedure A(D: data; var R: result); var D , Dk: data; R , Rk: result; begin if simple(D) then R := Ao(D) else { DI, ... , Dk := partition(D); RI := A(D,); . ; Rk := A(Dk1; R := combine(RI, ...

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