PPT-Sorting Networks

Uri Zwick Tel Aviv University May 2015 Comparators         Can we use comparators to build efficient sorting networks         Comparator networks A comparator network is a . Insertion Sort. Insertion Sort. Sorting problem:. Given an array of N integers, rearrange them so that they are in increasing order.. Insertion sort. Brute-force sorting solution.. In each iteration . P. arallel Sorting. Shantanu. . Dutt. ECE Dept.. UIC. Acknowledgement. Adapted from Chapter 9 slides of the text, by A. . Grama. w/ a few changes, augmentations and corrections. Topic Overview . Issues in Sorting on Parallel Computers . Tibetan script encoded in Unicode and Tibetan script encoded in Unicode and ISO/IEC 10646ISO/IEC 10646 Full support of Tibetan within a computer Full support of Tibetan within a computer environment a . waste. Sorting. line. Plastics. Yellow. . dustbin. Pet. . bottles. , . hollow. . wraps. , . foils. Ferry. , . sorting. , . pressing. No: linoleum . and. . floor. . coverings. , . wraps. . with. 1 INTRODUCTION Food sorting or processing equipment is susceptible to most types of wear, although due to the nature of the products, for example sugar, rice grains, corn etc., which are small partic Keyang. He. Discrete Mathematics. Basic Concepts. Algorithm . – . a . specific set of instructions for carrying out a procedure or solving a problem, usually with the requirement that the procedure terminate at some point. Insertion Sort: . Θ. (n. 2. ). Merge Sort:. Θ. (. nlog. (n)). Heap Sort:. Θ. (. nlog. (n)). We seem to be stuck at . Θ. (. nlog. (n)). Hypothesis: . Every sorting algorithm requires . Ω. (. nlog. Insertion Sort. Insertion Sort. Start with empty left hand, cards in pile on table.. Take first card from pile, put in left hand.. Take next card from pile, insert in proper place among cards in left hand.. Chapter 14. Selection. . Sort. A . sorting algorithm rearranges the elements of a collection so that they are stored . in . sorted order. . Selection sort sorts an array by repeatedly. . finding. Bubble Sort . of an array. Inefficient --- . O ( N. 2. ). easy to code. , . hence unlikely to contain errors. Algorithm. for . outerloop. = 1 to N. for . innerloop. = 0 to N-2. if ( item[. In this lesson, we will:. Describe sorting algorithms. Given an overview of existing algorithms. Describe the sorting algorithms we will learn. Sorting. Given an array that has arbitrary entries, . int array[10]{82, 25, 32, 85, 16, 36, 40, 4, 28, . Tel Aviv University. Started: . May 2015. Last Update. : . February 5, 2017. Comparators.  .  .  .  . Can we use comparators to . build . efficient. sorting networks?.  .  .  .  . Comparator networks. Lecture 18 SORTING in Hardware SSEG GPO2 Sorting Switches LED Buttons GPI2 Sorting - Required I nterface Sort Clock R eset n DataIn N DataOut N Done RAdd L WrInit S (0=initialization 1=computations) Given. a set (container) of n elements . E.g. array, set of words, etc. . Goal. Arrange the elements in ascending order. Start .  . 1 23 2 56 9 8 10 100. End .  1 2 8 9 10 23 56 100 (Ascending).