String Sorts (Algorithm Review) PDF
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This document reviews different string sorting algorithms, focusing on their performance characteristics, including the number of key comparisons. It discusses key-indexed counting, LSD radix sort, MSD radix sort, and 3-way radix quicksort. The review also touches on the lower bound of comparison-based sorting algorithms and whether methods exist to improve on this. It shows examples of string sorting and sorting algorithms that use key-indexed counting.
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STRING SORTS ‣ Key-indexed counting ‣ LSD radix sort ‣ MSD radix sort ‣ 3-way radix quicksort ‣ Suf x arrays fi Review: summary of the performance of sorting algorithms Frequency of operations = key compares. algorithm guarantee random extra space stabl...
STRING SORTS ‣ Key-indexed counting ‣ LSD radix sort ‣ MSD radix sort ‣ 3-way radix quicksort ‣ Suf x arrays fi Review: summary of the performance of sorting algorithms Frequency of operations = key compares. algorithm guarantee random extra space stable? operations on keys insertion sort N2 / 2 N2 / 4 1 yes compareTo() mergesort N lg N N lg N N yes compareTo() quicksort 1.39 N lg N * 1.39 N lg N c lg N no compareTo() heapsort 2 N lg N 2 N lg N 1 no compareTo() * probabilistic Lower bound. ~ N lg N compares required by any compare-based algorithm. Q. Can we do better (despite the lower bound)? A. Yes, if we don't depend on key compares. 3 Key-indexed counting: assumptions about keys Assumption. Keys are integers between 0 and R - 1. Implication. Can use key as an array index. input sorted result name section (by section) Anderson 2 Harris 1 Applications. Brown 3 Martin 1 Davis 3 Moore 1 Sort string by rst letter. Garcia 4 Anderson 2 Sort class roster by section. Harris Jackson 1 3 Martinez Miller 2 2 Sort phone numbers by area code. Johnson Jones 4 3 Robinson White 2 2 Subroutine in a sorting algorithm. [stay tuned] Martin Martinez 2 1 Brown Davis 3 3 Miller 2 Jackson 3 Moore 1 Jones 3 Remark. Keys may have associated data ⇒ Robinson 2 Taylor 3 Smith 4 Williams 3 can't just count up number of keys of each value. Taylor 3 Garcia 4 Thomas 4 Johnson 4 Thompson 4 Smith 4 White 2 Thomas 4 Williams 3 Thompson 4 Wilson 4 Wilson 4 keys are small integers Typical candidate for key-indexed counting 4 fi Key-indexed counting demo (Count Sort) R=6 Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] use a for 0 0 d int N = a.length; b for 1 1 a c for 2 int[] count = new int[R+1]; 2 c d for 3 for (int i = 0; i < N; i++) 3 f e for 4 count[a[i]+1]++; 4 f f for 5 5 b for (int r = 0; r < R; r++) 6 d count[r+1] += count[r]; b 7 8 f for (int i = 0; i < N; i++) 9 b aux[count[a[i]]++] = a[i]; 10 e for (int i = 0; i < N; i++) 11 a a[i] = aux[i]; 5 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. offset by 1 i a[i] [stay tuned] 0 d int N = a.length; 1 a int[] count = new int[R+1]; 2 c r count[r] count for (int i = 0; i < N; i++) 3 f a 0 frequencies count[a[i]+1]++; 4 f b 2 5 b c 3 for (int r = 0; r < R; r++) 6 d d 1 count[r+1] += count[r]; b 7 e 2 8 f f 1 for (int i = 0; i < N; i++) 9 b - 3 aux[count[a[i]]++] = a[i]; 10 e for (int i = 0; i < N; i++) 11 a a[i] = aux[i]; 6 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] 0 d int N = a.length; 1 a int[] count = new int[R+1]; 2 c r count[r] for (int i = 0; i < N; i++) 3 f a 0 count[a[i]+1]++; 4 f b 2 5 b c 5 compute for (int r = 0; r < R; r++) 6 d d 6 cumulates count[r+1] += count[r]; b 7 e 8 or pre x-sum 8 f f 9 for (int i = 0; i < N; i++) 9 b - 12 aux[count[a[i]]++] = a[i]; 10 e for (int i = 0; i < N; i++) 11 a a[i] = aux[i]; 6 keys < d, 8 keys < e so d’s go in a and a 7 fi Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 for (int i = 0; i < N; i++) 3 f a 0 3 count[a[i]+1]++; 4 f b 2 4 5 b c 5 5 for (int r = 0; r < R; r++) 6 d 6 d 6 count[r+1] += count[r]; b 7 7 e 8 8 f f 9 8 for (int i = 0; i < N; i++) move 9 b 9 aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 for (int i = 0; i < N; i++) 11 a 11 a[i] = aux[i]; 8 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 for (int i = 0; i < N; i++) 3 f a 0 3 count[a[i]+1]++; 4 f b 2 4 5 b c 5 5 for (int r = 0; r < R; r++) 6 d 6 d d 7 count[r+1] += count[r]; b 7 7 e 8 8 f f 9 8 for (int i = 0; i < N; i++) move 9 b 9 aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 for (int i = 0; i < N; i++) 11 a 11 a[i] = aux[i]; 9 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 for (int i = 0; i < N; i++) 3 f a 1 3 count[a[i]+1]++; 4 f b 2 4 5 b c 5 5 for (int r = 0; r < R; r++) 6 d 6 d d 7 count[r+1] += count[r]; b 7 7 e 8 8 f f 9 8 for (int i = 0; i < N; i++) move 9 b 9 aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 for (int i = 0; i < N; i++) 11 a 11 a[i] = aux[i]; 10 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 for (int i = 0; i < N; i++) 3 f a 1 3 count[a[i]+1]++; 4 f b 2 4 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 7 count[r+1] += count[r]; b 7 7 e 8 8 f f 9 8 for (int i = 0; i < N; i++) move 9 b 9 aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 for (int i = 0; i < N; i++) 11 a 11 a[i] = aux[i]; 11 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 for (int i = 0; i < N; i++) 3 f a 1 3 count[a[i]+1]++; 4 f b 2 4 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 7 count[r+1] += count[r]; b 7 7 e 8 8 f f 10 8 for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 for (int i = 0; i < N; i++) 11 a 11 a[i] = aux[i]; 12 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 for (int i = 0; i < N; i++) 3 f a 1 3 count[a[i]+1]++; 4 f b 2 4 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 7 count[r+1] += count[r]; b 7 7 e 8 8 f f 11 8 for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 f for (int i = 0; i < N; i++) 11 a 11 a[i] = aux[i]; 13 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 b for (int i = 0; i < N; i++) 3 f a 1 3 count[a[i]+1]++; 4 f b 3 4 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 7 count[r+1] += count[r]; b 7 7 e 8 8 f f 11 8 for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 f for (int i = 0; i < N; i++) 11 a 11 a[i] = aux[i]; 14 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 b for (int i = 0; i < N; i++) 3 f a 1 3 count[a[i]+1]++; 4 f b 3 4 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 8 count[r+1] += count[r]; b 7 d 7 e 8 8 f f 11 8 for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 f for (int i = 0; i < N; i++) 11 a 11 a[i] = aux[i]; 15 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 b for (int i = 0; i < N; i++) 3 f a 1 3 b count[a[i]+1]++; 4 f b 4 4 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 8 count[r+1] += count[r]; b 7 d 7 e 8 8 f f 11 8 for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 f for (int i = 0; i < N; i++) 11 a 11 a[i] = aux[i]; 16 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 b for (int i = 0; i < N; i++) 3 f a 1 3 b count[a[i]+1]++; 4 f b 4 4 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 8 count[r+1] += count[r]; b 7 d 7 e 8 8 f f 12 8 for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 f for (int i = 0; i < N; i++) 11 a 11 f a[i] = aux[i]; 17 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 b for (int i = 0; i < N; i++) 3 f a 1 3 b count[a[i]+1]++; 4 f b 5 4 b 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 8 count[r+1] += count[r]; b 7 d 7 e 8 8 f f 12 8 for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 f for (int i = 0; i < N; i++) 11 a 11 f a[i] = aux[i]; 18 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 int[] count = new int[R+1]; 2 c r count[r] 2 b for (int i = 0; i < N; i++) 3 f a 1 3 b count[a[i]+1]++; 4 f b 5 4 b 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 8 count[r+1] += count[r]; b 7 d 7 e 9 8 f f 12 8 e for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 f for (int i = 0; i < N; i++) 11 a 11 f a[i] = aux[i]; 19 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 a int[] count = new int[R+1]; 2 c r count[r] 2 b for (int i = 0; i < N; i++) 3 f a 2 3 b count[a[i]+1]++; 4 f b 5 4 b 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 8 count[r+1] += count[r]; b 7 d 7 e 9 8 f f 12 8 e for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 f for (int i = 0; i < N; i++) 11 a 11 f a[i] = aux[i]; 20 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 a int[] count = new int[R+1]; 2 c r count[r] 2 b for (int i = 0; i < N; i++) 3 f a 2 3 b count[a[i]+1]++; 4 f b 5 4 b 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 8 count[r+1] += count[r]; b 7 d 7 e 9 8 f f 12 8 e for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 f for (int i = 0; i < N; i++) 11 a 11 f a[i] = aux[i]; 21 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 a 0 a int N = a.length; 1 a 1 a int[] count = new int[R+1]; 2 b r count[r] 2 b for (int i = 0; i < N; i++) 3 b a 2 3 b count[a[i]+1]++; 4 b b 5 4 b 5 c c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 8 count[r+1] += count[r]; d 7 d 7 e 9 8 e f 12 8 e for (int i = 0; i < N; i++) 9 f - 12 9 f aux[count[a[i]]++] = a[i]; 10 f 10 f for (int i = 0; i < N; i++) 11 f 11 f copy a[i] = aux[i]; back 22 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. offset by 1 i a[i] [stay tuned] 0 d int N = a.length; 1 a int[] count = new int[R+1]; 2 c r count[r] count for (int i = 0; i < N; i++) 3 f a 0 frequencies count[a[i]+1]++; 4 f b 2 5 b c 3 for (int r = 0; r < R; r++) 6 d d 1 count[r+1] += count[r]; b 7 e 2 8 f f 1 for (int i = 0; i < N; i++) 9 b - 3 aux[count[a[i]]++] = a[i]; 10 e for (int i = 0; i < N; i++) 11 a a[i] = aux[i]; 23 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] 0 d int N = a.length; 1 a int[] count = new int[R+1]; 2 c r count[r] 3 f a 0 for (int i = 0; i < N; i++) count[a[i]+1]++; 4 f b 2 5 b c 5 compute for (int r = 0; r < R; r++) 6 d d 6 cumulates count[r+1] += count[r]; 7 b e 8 8 f f 9 for (int i = 0; i < N; i++) 9 b - 12 aux[count[a[i]]++] = a[i]; 10 e 11 a for (int i = 0; i < N; i++) 6 keys < d, 8 keys < e a[i] = aux[i]; so d’s go in a and a 24 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 d 0 a int N = a.length; 1 a 1 a int[] count = new int[R+1]; 2 c r count[r] 2 b for (int i = 0; i < N; i++) 3 f a 2 3 b count[a[i]+1]++; 4 f b 5 4 b 5 b c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 8 count[r+1] += count[r]; b 7 d 7 e 9 8 f f 12 8 e for (int i = 0; i < N; i++) move 9 b 9 f aux[count[a[i]]++] = a[i]; - 12 items 10 e 10 f For the index for (int i = 0; i < N; i++) 11 a 11 f of duplicates a[i] = aux[i]; 25 Key-indexed counting demo Goal. Sort an array a[] of N integers between 0 and R - 1. Count frequencies of each letter using key as index. Compute frequency cumulates which specify destinations. Access cumulates using key as index to move items. Copy back into original array. i a[i] i aux[i] 0 a 0 a int N = a.length; 1 a 1 a int[] count = new int[R+1]; 2 b r count[r] 2 b for (int i = 0; i < N; i++) 3 b a 2 3 b count[a[i]+1]++; 4 b b 5 4 b 5 c c 6 5 c for (int r = 0; r < R; r++) 6 d 6 d d 8 count[r+1] += count[r]; d 7 d 7 e 9 8 e f 12 8 e for (int i = 0; i < N; i++) 9 f - 12 9 f aux[count[a[i]]++] = a[i]; 10 f 10 f for (int i = 0; i < N; i++) 11 f 11 f copy a[i] = aux[i]; back 26 Key-indexed counting: analysis Proposition. Key-indexed counting uses ~ 11 N + 4 R array accesses to sort N items whose keys are integers between 0 and R - 1. for (int i = 0; i < N; i++) aux[count[a[i].key(d)]++] = a[i]; Proposition. Key-indexed count[] counting uses extra space proportional to N + R. 1 2 3 4 0 3 8 14 Depends on the Stable? 0 0 4 4 8 9 14 14 a a Anderson Brown 2 3 Harris Martin 1 1 aux aux Alphabet size / Max ✔ 0 4 10 14 a Davis 3 Moore 1 aux integer value 0 4 10 15 a Garcia 4 Anderson 2 aux 1 4 10 15 a Harris 1 Martinez 2 aux 1 4 11 15 a Jackson 3 Miller 2 aux 1 4 11 16 a Johnson 4 Robinson 2 aux 1 4 12 16 a Jones 3 White 2 aux 2 4 12 16 a Martin 1 Brown 3 aux 2 5 12 16 a Martinez 2 Davis 3 aux 2 6 12 16 a Miller 2 Jackson 3 aux 3 6 12 16 a Moore 1 Jones 3 aux 3 7 12 16 a Robinson 2 Taylor 3 aux 3 7 12 17 a Smith 4 Williams 3 aux 3 7 13 17 a Taylor 3 Garcia 4 aux 3 7 13 18 a Thomas 4 Johnson 4 aux 3 7 13 19 a Thompson 4 Smith 4 aux 3 8 13 19 a White 2 Thomas 4 aux 3 8 14 19 a Williams 3 Thompson 4 aux 3 8 14 20 a Wilson 4 Wilson 4 aux Distributing the data (records with key 3 highlighted) 27 STRING SORTS ‣ Key-indexed counting ‣ LSD radix sort ‣ MSD radix sort ‣ 3-way radix quicksort ‣ Suf x arrays fi Least-signi cant-digit- rst string sort LSD string (radix) sort. Consider characters from right to left. Stably sort using dth character as the key (using key-indexed counting). sort key (d=2) sort key (d=1) sort key (d=0) 0 d a b 0 d a b 0 d a b 0 a c e 1 a d d 1 c a b 1 c a b 1 a d d 2 c a b 2 e b b 2 f a d 2 b a d 3 f a d 3 a d d 3 b a d 3 b e d 4 f e e 4 f a d 4 d a d 4 b e e 5 b a d 5 b a d 5 e b b 5 c a b 6 d a d 6 d a d 6 a c e 6 d a b 7 b e e 7 f e d 7 a d d 7 d a d 8 f e d 8 b e d 8 f e d 8 e b b 9 b e d 9 f e e 9 b e d 9 f a d 10 e b b 10 b e e 10 f e e 10 f e d 11 a c e 11 a c e 11 b e e 11 f e e sort must be stable (arrows do not cross) 29 fi fi LSD string sort: correctness proof Proposition. LSD sorts xed-length strings in ascending order. sort key Pf. [by induction on i] After pass i, strings are sorted by last i characters. 0 d a b 0 a c e If two strings differ on sort key, 1 2 c f a a b d 1 2 a b d a d d key-indexed sort puts them in proper relative order. 3 b a d 3 b e d If two strings agree on sort key, 4 d a d 4 b e e stability keeps them in proper relative order. 5 e b b 5 c a b 6 a c e 6 d a b [Thinking about the future] 7 a d d 7 d a d - If the characters not yet examined differ, it doesn’t matter 8 f e d 8 e b b what we do now 9 b e d 9 f a d - If the characters not yet examined agree, stability ensures 10 f e e 10 f e d later pass won’t affect order. 11 b e e 11 f e e sorted from previous passes (by induction) 30 fi LSD string sort: Java implementation public class LSD { public static void sort(String[] a, int W) xed-length W strings { int R = 256; radix R int N = a.length; String[] aux = new String[N]; for (int d = W-1; d >= 0; d--) do key-indexed counting { for each digit from right to left int[] count = new int[R+1]; for (int i = 0; i < N; i++) count[a[i].charAt(d) + 1]++; for (int r = 0; r < R; r++) key-indexed counting count[r+1] += count[r]; (count sort) for (int i = 0; i < N; i++) aux[count[a[i].charAt(d)]++] = a[i]; for (int i = 0; i < N; i++) a[i] = aux[i]; } } } 31 fi Summary of the performance of sorting algorithms Frequency of operations. algorithm guarantee random extra space stable? operations on keys insertion sort N2 / 2 N2 / 4 1 yes compareTo() mergesort N lg N N lg N N yes compareTo() quicksort 1.39 N lg N * 1.39 N lg N c lg N no compareTo() heapsort 2 N lg N 2 N lg N 1 no compareTo() LSD † 2WN 2WN N+R yes charAt() * probabilistic † xed-length W keys Q. What if strings do not have same length? 32 fi Chapter 1: Introduction Operating System Concepts – 9th Edit9on Silberschatz, Galvin and Gagne ©2013 Chapter 1: Introduction What Operating Systems Do Computer-System Organization Computer-System Architecture Operating-System Structure Operating-System Operations Process Management Memory Management Storage Management Protection and Security Kernel Data Structures Computing Environments Open-Source Operating Systems Operating System Concepts – 9th Edition 1.2 Silberschatz, Galvin and Gagne ©2013 Objectives To describe the basic organization of computer systems To provide a grand tour of the major components of operating systems To give an overview of the many types of computing environments To explore several open-source operating systems Operating System Concepts – 9th Edition 1.3 Silberschatz, Galvin and Gagne ©2013 What is an Operating System? A program that acts as an intermediary between a user of a computer and the computer hardware Operating system goals: Execute user programs and make solving user problems easier Make the computer system convenient to use Use the computer hardware in an efficient manner Operating System Concepts – 9th Edition 1.4 Silberschatz, Galvin and Gagne ©2013 Computer System Structure Computer system can be divided into four components: Hardware – provides basic computing resources CPU, memory, I/O devices Operating system Controls and coordinates use of hardware among various applications and users Application programs – define the ways in which the system resources are used to solve the computing problems of the users Word processors, compilers, web browsers, database systems, video games Users People, machines, other computers Operating System Concepts – 9th Edition 1.5 Silberschatz, Galvin and Gagne ©2013 Four Components of a Computer System Operating System Concepts – 9th Edition 1.6 Silberschatz, Galvin and Gagne ©2013 What Operating Systems Do Depends on the point of view Users want convenience, ease of use Don’t care about resource utilization But shared computer such as mainframe or minicomputer must keep all users happy Users of dedicate systems such as workstations have dedicated resources but frequently use shared resources from servers Handheld computers are resource poor, optimized for usability and battery life Some computers have little or no user interface, such as embedded computers in devices and automobiles Operating System Concepts – 9th Edition 1.7 Silberschatz, Galvin and Gagne ©2013 Operating System Definition OS is a resource allocator Manages all resources Decides between conflicting requests for efficient and fair resource use OS is a control program Controls execution of programs to prevent errors and improper use of the computer Operating System Concepts – 9th Edition 1.8 Silberschatz, Galvin and Gagne ©2013 Operating System Definition (Cont.) No universally accepted definition “Everything a vendor ships when you order an operating system” is good approximation But varies wildly “The one program running at all times on the computer” is the kernel. Everything else is either a system program (ships with the operating system) or an application program. Operating System Concepts – 9th Edition 1.9 Silberschatz, Galvin and Gagne ©2013 Computer Startup bootstrap program is loaded at power-up or reboot Typically stored in ROM or EPROM, generally known as firmware Initializes all aspects of system Loads operating system kernel and starts execution Operating System Concepts – 9th Edition 1.10 Silberschatz, Galvin and Gagne ©2013 Computer System Organization Computer-system operation One or more CPUs, device controllers connect through common bus providing access to shared memory Concurrent execution of CPUs and devices competing for memory cycles Operating System Concepts – 9th Edition 1.11 Silberschatz, Galvin and Gagne ©2013 Computer-System Operation I/O devices and the CPU can execute concurrently Each device controller is in charge of a particular device type Each device controller has a local buffer CPU moves data from/to main memory to/from local buffers I/O is from the device to local buffer of controller Device controller informs CPU that it has finished its operation by causing an interrupt Operating System Concepts – 9th Edition 1.12 Silberschatz, Galvin and Gagne ©2013 Common Functions of Interrupts Interrupt transfers control to the interrupt service routine generally, through the interrupt vector, which contains the addresses of all the service routines Interrupt architecture must save the address of the interrupted instruction A trap or exception is a software-generated interrupt caused either by an error or a user request An operating system is interrupt driven Operating System Concepts – 9th Edition 1.13 Silberschatz, Galvin and Gagne ©2013 Interrupt Handling The operating system preserves the state of the CPU by storing registers and the program counter Determines which type of interrupt has occurred: polling vectored interrupt system Separate segments of code determine what action should be taken for each type of interrupt Operating System Concepts – 9th Edition 1.14 Silberschatz, Galvin and Gagne ©2013 Interrupt Timeline Operating System Concepts – 9th Edition 1.15 Silberschatz, Galvin and Gagne ©2013 I/O Structure After I/O starts, control returns to user program only upon I/O completion Wait instruction idles the CPU until the next interrupt Wait loop (contention for memory access) At most one I/O request is outstanding at a time, no simultaneous I/O processing After I/O starts, control returns to user program without waiting for I/O completion System call – request to the OS to allow user to wait for I/O completion Device-status table contains entry for each I/O device indicating its type, address, and state OS indexes into I/O device table to determine device status and to modify table entry to include interrupt Operating System Concepts – 9th Edition 1.16 Silberschatz, Galvin and Gagne ©2013 Storage Definitions and Notation Review The basic unit of computer storage is the bit. A bit can contain one of two values, 0 and 1. All other storage in a computer is based on collections of bits. Given enough bits, it is amazing how many things a computer can represent: numbers, letters, images, movies, sounds, documents, and programs, to name a few. A byte is 8 bits, and on most computers it is the smallest convenient chunk of storage. For example, most computers don’t have an instruction to move a bit but do have one to move a byte. A less common term is word, which is a given computer architecture’s native unit of data. A word is made up of one or more bytes. For example, a computer that has 64-bit registers and 64-bit memory addressing typically has 64-bit (8-byte) words. A computer executes many operations in its native word size rather than a byte at a time. Computer storage, along with most computer throughput, is generally measured and manipulated in bytes and collections of bytes. A kilobyte, or KB, is 1,024 2 3 bytes; a megabyte, or MB, is 1,024 bytes; a gigabyte, or GB, is 1,024 bytes; a 4 5 terabyte, or TB, is 1,024 bytes; and a petabyte, or PB, is 1,024 bytes. Computer manufacturers often round off these numbers and say that a megabyte is 1 million bytes and a gigabyte is 1 billion bytes. Networking measurements are an exception to this general rule; they are given in bits (because networks move data a bit at a time). Operating System Concepts – 9th Edition 1.17 Silberschatz, Galvin and Gagne ©2013 Storage Structure Main memory – only large storage media that the CPU can access directly Random access Typically volatile Secondary storage – extension of main memory that provides large nonvolatile storage capacity Magnetic disks – rigid metal or glass platters covered with magnetic recording material Disk surface is logically divided into tracks, which are subdivided into sectors The disk controller determines the logical interaction between the device and the computer Solid-state disks – faster than magnetic disks, nonvolatile Various technologies Becoming more popular Operating System Concepts – 9th Edition 1.18 Silberschatz, Galvin and Gagne ©2013 Storage Hierarchy Storage systems organized in hierarchy Speed Cost Volatility Caching – copying information into faster storage system; main memory can be viewed as a cache for secondary storage Device Driver for each device controller to manage I/O Provides uniform interface between controller and kernel Operating System Concepts – 9th Edition 1.19 Silberschatz, Galvin and Gagne ©2013 Storage-Device Hierarchy Operating System Concepts – 9th Edition 1.20 Silberschatz, Galvin and Gagne ©2013 Caching Important principle, performed at many levels in a computer (in hardware, operating system, software) Information in use copied from slower to faster storage temporarily Faster storage (cache) checked first to determine if information is there If it is, information used directly from the cache (fast) If not, data copied to cache and used there Cache smaller than storage being cached Cache management important design problem Cache size and replacement policy Operating System Concepts – 9th Edition 1.21 Silberschatz, Galvin and Gagne ©2013 Computer-System Architecture Most systems use a single general-purpose processor Most systems have special-purpose processors as well Multiprocessors systems growing in use and importance Also known as parallel systems, tightly-coupled systems Advantages include: 1. Increased throughput 2. Economy of scale 3. Increased reliability – graceful degradation or fault tolerance Two types: 1. Asymmetric Multiprocessing 2. Symmetric Multiprocessing Operating System Concepts – 9th Edition 1.22 Silberschatz, Galvin and Gagne ©2013 How a Modern Computer Works A von Neumann architecture Operating System Concepts – 9th Edition 1.23 Silberschatz, Galvin and Gagne ©2013 Symmetric Multiprocessing Architecture Operating System Concepts – 9th Edition 1.24 Silberschatz, Galvin and Gagne ©2013 Clustered Systems Like multiprocessor systems, but multiple systems working together Usually sharing storage via a storage-area network (SAN) Provides a high-availability service which survives failures Asymmetric clustering has one machine in hot-standby mode Symmetric clustering has multiple nodes running applications, monitoring each other Some clusters are for high-performance computing (HPC) Applications must be written to use parallelization Some have distributed lock manager (DLM) to avoid conflicting operations Operating System Concepts – 9th Edition 1.25 Silberschatz, Galvin and Gagne ©2013 Clustered Systems Operating System Concepts – 9th Edition 1.26 Silberschatz, Galvin and Gagne ©2013 Operating System Structure Multiprogramming needed for efficiency Single user cannot keep CPU and I/O devices busy at all times Multiprogramming organizes jobs (code and data) so CPU always has one to execute A subset of total jobs in system is kept in memory One job selected and run via job scheduling When it has to wait (for I/O for example), OS switches to another job Timesharing (multitasking) is logical extension in which CPU switches jobs so frequently that users can interact with each job while it is running, creating interactive computing Response time should be < 1 second Each user has at least one program executing in memory process If several jobs ready to run at the same time CPU scheduling If processes don’t fit in memory, swapping moves them in and out to run Virtual memory allows execution of processes not completely in memory Operating System Concepts – 9th Edition 1.27 Silberschatz, Galvin and Gagne ©2013 Memory Layout for Multiprogrammed System Operating System Concepts – 9th Edition 1.28 Silberschatz, Galvin and Gagne ©2013 Operating-System Operations Interrupt driven by hardware Software error or request creates exception or trap Division by zero, request for operating system service Other process problems include infinite loop, processes modifying each other or the operating system Dual-mode operation allows OS to protect itself and other system components User mode and kernel mode Mode bit provided by hardware Provides ability to distinguish when system is running user code or kernel code Some instructions designated as privileged, only executable in kernel mode System call changes mode to kernel, return from call resets it to user Increasingly CPUs support multi-mode operations i.e. virtual machine manager (VMM) mode for guest VMs Operating System Concepts – 9th Edition 1.29 Silberschatz, Galvin and Gagne ©2013 Transition from User to Kernel Mode Timer to prevent infinite loop / process hogging resources Set interrupt after specific period Operating system decrements counter When counter zero generate an interrupt Set up before scheduling process to regain control or terminate program that exceeds allotted time Operating System Concepts – 9th Edition 1.30 Silberschatz, Galvin and Gagne ©2013 Process Management A process is a program in execution. It is a unit of work within the system. Program is a passive entity, process is an active entity. Process needs resources to accomplish its task CPU, memory, I/O, files Initialization data Process termination requires reclaim of any reusable resources Single-threaded process has one program counter specifying location of next instruction to execute Process executes instructions sequentially, one at a time, until completion Multi-threaded process has one program counter per thread Typically system has many processes, some user, some operating system running concurrently on one or more CPUs Concurrency by multiplexing the CPUs among the processes / threads Operating System Concepts – 9th Edition 1.31 Silberschatz, Galvin and Gagne ©2013 Process Management Activities The operating system is responsible for the following activities in connection with process management: Creating and deleting both user and system processes Suspending and resuming processes Providing mechanisms for process synchronization Providing mechanisms for process communication Providing mechanisms for deadlock handling Operating System Concepts – 9th Edition 1.32 Silberschatz, Galvin and Gagne ©2013 Memory Management All data in memory before and after processing All instructions in memory in order to execute Memory management determines what is in memory when Optimizing CPU utilization and computer response to users Memory management activities Keeping track of which parts of memory are currently being used and by whom Deciding which processes (or parts thereof) and data to move into and out of memory Allocating and deallocating memory space as needed Operating System Concepts – 9th Edition 1.33 Silberschatz, Galvin and Gagne ©2013 Storage Management OS provides uniform, logical view of information storage Abstracts physical properties to logical storage unit - file Each medium is controlled by device (i.e., disk drive, tape drive) Varying properties include access speed, capacity, data- transfer rate, access method (sequential or random) File-System management Files usually organized into directories Access control on most systems to determine who can access what OS activities include Creating and deleting files and directories Primitives to manipulate files and dirs Mapping files onto secondary storage Backup files onto stable (non-volatile) storage media Operating System Concepts – 9th Edition 1.34 Silberschatz, Galvin and Gagne ©2013 Mass-Storage Management Usually disks used to store data that does not fit in main memory or data that must be kept for a “long” period of time Proper management is of central importance Entire speed of computer operation hinges on disk subsystem and its algorithms OS activities Free-space management Storage allocation Disk scheduling Some storage need not be fast Tertiary storage includes optical storage, magnetic tape Still must be managed – by OS or applications Varies between WORM (write-once, read-many-times) and RW (read-write) Operating System Concepts – 9th Edition 1.35 Silberschatz, Galvin and Gagne ©2013 Performance of Various Levels of Storage Movement between levels of storage hierarchy can be explicit or implicit Operating System Concepts – 9th Edition 1.36 Silberschatz, Galvin and Gagne ©2013 Migration of Integer A from Disk to Register Multitasking environments must be careful to use most recent value, no matter where it is stored in the storage hierarchy Multiprocessor environment must provide cache coherency in hardware such that all CPUs have the most recent value in their cache Distributed environment situation even more complex Several copies of a datum can exist Various solutions covered in Chapter 17 Operating System Concepts – 9th Edition 1.37 Silberschatz, Galvin and Gagne ©2013 I/O Subsystem One purpose of OS is to hide peculiarities of hardware devices from the user I/O subsystem responsible for Memory management of I/O including buffering (storing data temporarily while it is being transferred), caching (storing parts of data in faster storage for performance), spooling (the overlapping of output of one job with input of other jobs) General device-driver interface Drivers for specific hardware devices Operating System Concepts – 9th Edition 1.38 Silberschatz, Galvin and Gagne ©2013 Protection and Security Protection – any mechanism for controlling access of processes or users to resources defined by the OS Security – defense of the system against internal and external attacks Huge range, including denial-of-service, worms, viruses, identity theft, theft of service Systems generally first distinguish among users, to determine who can do what User identities (user IDs, security IDs) include name and associated number, one per user User ID then associated with all files, processes of that user to determine access control Group identifier (group ID) allows set of users to be defined and controls managed, then also associated with each process, file Privilege escalation allows user to change to effective ID with more rights Operating System Concepts – 9th Edition 1.39 Silberschatz, Galvin and Gagne ©2013 Computing Environments - Traditional Stand-alone general purpose machines But blurred as most systems interconnect with others (i.e. the Internet) Portals provide web access to internal systems Network computers (thin clients) are like Web terminals Mobile computers interconnect via wireless networks Networking becoming ubiquitous – even home systems use firewalls to protect home computers from Internet attacks Operating System Concepts – 9th Edition 1.40 Silberschatz, Galvin and Gagne ©2013 Computing Environments - Mobile Handheld smartphones, tablets, etc What is the functional difference between them and a “traditional” laptop? Extra feature – more OS features (GPS, gyroscope) Allows new types of apps like augmented reality Use IEEE 802.11 wireless, or cellular data networks for connectivity Leaders are Apple iOS and Google Android Operating System Concepts – 9th Edition 1.41 Silberschatz, Galvin and Gagne ©2013 Computing Environments – Distributed Distributed Collection of separate, possibly heterogeneous, systems networked together Network is a communications path, TCP/IP most common – Local Area Network (LAN) – Wide Area Network (WAN) – Metropolitan Area Network (MAN) – Personal Area Network (PAN) Network Operating System provides features between systems across network Communication scheme allows systems to exchange messages Illusion of a single system Operating System Concepts – 9th Edition 1.42 Silberschatz, Galvin and Gagne ©2013 Computing Environments – Client-Server Client-Server Computing Dumb terminals supplanted by smart PCs Many systems now servers, responding to requests generated by clients Compute-server system provides an interface to client to request services (i.e., database) File-server system provides interface for clients to store and retrieve files Operating System Concepts – 9th Edition 1.43 Silberschatz, Galvin and Gagne ©2013 Computing Environments - Peer-to-Peer Another model of distributed system P2P does not distinguish clients and servers Instead all nodes are considered peers May each act as client, server or both Node must join P2P network Registers its service with central lookup service on network, or Broadcast request for service and respond to requests for service via discovery protocol Examples include Napster and Gnutella, Voice over IP (VoIP) such as Skype Operating System Concepts – 9th Edition 1.44 Silberschatz, Galvin and Gagne ©2013 Computing Environments - Virtualization Allows operating systems to run applications within other OSes Vast and growing industry Emulation used when source CPU type different from target type (i.e. PowerPC to Intel x86) Generally slowest method When computer language not compiled to native code – Interpretation Virtualization – OS natively compiled for CPU, running guest OSes also natively compiled Consider VMware running WinXP guests, each running applications, all on native WinXP host OS VMM provides virtualization services Operating System Concepts – 9th Edition 1.45 Silberschatz, Galvin and Gagne ©2013 Computing Environments - Virtualization Use cases involve laptops and desktops running multiple OSes for exploration or compatibility Apple laptop running Mac OS X host, Windows as a guest Developing apps for multiple OSes without having multiple systems QA testing applications without having multiple systems Executing and managing compute environments within data centers VMM can run natively, in which case they are also the host There is no general purpose host then (VMware ESX and Citrix XenServer) Operating System Concepts – 9th Edition 1.46 Silberschatz, Galvin and Gagne ©2013 Computing Environments - Virtualization Operating System Concepts – 9th Edition 1.47 Silberschatz, Galvin and Gagne ©2013 Computing Environments – Cloud Computing Delivers computing, storage, even apps as a service across a network Logical extension of virtualization as based on virtualization Amazon EC2 has thousands of servers, millions of VMs, PBs of storage available across the Internet, pay based on usage Many types Public cloud – available via Internet to anyone willing to pay Private cloud – run by a company for the company’s own use Hybrid cloud – includes both public and private cloud components Software as a Service (SaaS) – one or more applications available via the Internet (i.e. word processor) Platform as a Service (PaaS) – software stack ready for application use via the Internet (i.e a database server) Infrastructure as a Service (IaaS) – servers or storage available over Internet (i.e. storage available for backup use) Operating System Concepts – 9th Edition 1.48 Silberschatz, Galvin and Gagne ©2013 Computing Environments – Cloud Computing Cloud compute environments composed of traditional OSes, plus VMMs, plus cloud management tools Internet connectivity requires security like firewalls Load balancers spread traffic across multiple applications Operating System Concepts – 9th Edition 1.49 Silberschatz, Galvin and Gagne ©2013 Computing Environments – Real-Time Embedded Systems Real-time embedded systems most prevalent form of computers Vary considerable, special purpose, limited purpose OS, real-time OS Use expanding Many other special computing environments as well Some have OSes, some perform tasks without an OS Real-time OS has well-defined fixed time constraints Processing must be done within constraint Correct operation only if constraints met Operating System Concepts – 9th Edition 1.50 Silberschatz, Galvin and Gagne ©2013 Open-Source Operating Systems Operating systems made available in source-code format rather than just binary closed-source Counter to the copy protection and Digital Rights Management (DRM) movement Started by Free Software Foundation (FSF), which has “copyleft” GNU Public License (GPL) Examples include GNU/Linux and BSD UNIX (including core of Mac OS X), and many more Can use VMM like VMware Player (Free on Windows), Virtualbox (open source and free on many platforms - http://www.virtualbox.com) Use to run guest operating systems for exploration Operating System Concepts – 9th Edition 1.51 Silberschatz, Galvin and Gagne ©2013 Chapter 2: System Structures Operating System Concepts – 9th Edition Silberschatz, Galvin and Gagne ©2013 Chapter 2: System Structures Operating System Services User Operating System Interface System Calls Types of System Calls System Programs Operating System Design and Implementation Operating System Structure Operating System Debugging Operating System Generation System Boot Operating System Concepts – 9th Edition 2.2 Silberschatz, Galvin and Gagne ©2013 Objectives To describe the services an operating system provides to users, processes, and other systems To discuss the various ways of structuring an operating system To explain how operating systems are installed and customized and how they boot Operating System Concepts – 9th Edition 2.3 Silberschatz, Galvin and Gagne ©2013 Operating System Services Operating systems provide an environment for execution of programs and services to programs and users One set of operating-system services provides functions that are helpful to the user: User interface - Almost all operating systems have a user interface (UI). Varies between Command-Line (CLI), Graphics User Interface (GUI), Batch Program execution - The system must be able to load a program into memory and to run that program, end execution, either normally or abnormally (indicating error) I/O operations - A running program may require I/O, which may involve a file or an I/O device File-system manipulation - The file system is of particular interest. Programs need to read and write files and directories, create and delete them, search them, list file Information, permission management. Operating System Concepts – 9th Edition 2.4 Silberschatz, Galvin and Gagne ©2013 Operating System Services (Cont.) Communications – Processes may exchange information, on the same computer or between computers over a network Communications may be via shared memory or through message passing (packets moved by the OS) Error detection – OS needs to be constantly aware of possible errors May occur in the CPU and memory hardware, in I/O devices, in user program For each type of error, OS should take the appropriate action to ensure correct and consistent computing Debugging facilities can greatly enhance the user’s and programmer’s abilities to efficiently use the system Operating System Concepts – 9th Edition 2.5 Silberschatz, Galvin and Gagne ©2013 Operating System Services (Cont.) Another set of OS functions exists for ensuring the efficient operation of the system itself via resource sharing Resource allocation - When multiple users or multiple jobs running concurrently, resources must be allocated to each of them Many types of resources - Some (such as CPU cycles, main memory, and file storage) may have special allocation code, others (such as I/O devices) may have general request and release code Accounting - To keep track of which users use how much and what kinds of computer resources Protection and security - The owners of information stored in a multiuser or networked computer system may want to control use of that information, concurrent processes should not interfere with each other Protection involves ensuring that all access to system resources is controlled Security of the system from outsiders requires user authentication, extends to defending external I/O devices from invalid access attempts If a system is to be protected and secure, precautions must be instituted throughout it. A chain is only as strong as its weakest link. Operating System Concepts – 9th Edition 2.6 Silberschatz, Galvin and Gagne ©2013 A View of Operating System Services Operating System Concepts – 9th Edition 2.7 Silberschatz, Galvin and Gagne ©2013 User Operating System Interface - CLI CLI or command interpreter allows direct command entry Sometimes implemented in kernel, sometimes by systems program Sometimes multiple flavors implemented – shells Primarily fetches a command from user and executes it – Sometimes commands built-in, sometimes just names of programs » If the latter, adding new features doesn’t require shell modification Operating System Concepts – 9th Edition 2.8 Silberschatz, Galvin and Gagne ©2013 Bourne Shell Command Interpreter Operating System Concepts – 9th Edition 2.9 Silberschatz, Galvin and Gagne ©2013 User Operating System Interface - GUI User-friendly desktop metaphor interface Usually mouse, keyboard, and monitor Icons represent files, programs, actions, etc Various mouse buttons over objects in the interface cause various actions (provide information, options, execute function, open directory (known as a folder) Invented at Xerox PARC Many systems now include both CLI and GUI interfaces Microsoft Windows is GUI with CLI “command” shell Apple Mac OS X is “Aqua” GUI interface with UNIX kernel underneath and shells available Unix and Linux have CLI with optional GUI interfaces (CDE, KDE, GNOME) Operating System Concepts – 9th Edition 2.10 Silberschatz, Galvin and Gagne ©2013 Touchscreen Interfaces Touchscreen devices require new interfaces Mouse not possible or not desired Actions and selection based on gestures Virtual keyboard for text entry Operating System Concepts – 9th Edition 2.11 Silberschatz, Galvin and Gagne ©2013 The Mac OS X GUI Operating System Concepts – 9th Edition 2.12 Silberschatz, Galvin and Gagne ©2013 System Calls Pr