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5); f(mask) = 1 + cos(2*pi*x(mask)); | x| ≤ 12 | x| > 12 . 6 OPTIMIZING PERFORMANCE 42 The mask is a logical index into x (see page 12). You could refer, if needed, to the unmasked points by using ˜mask. Consider a new version of the sum-of-primes idea from page 27: sum( find( isprime(1:100) ) ) Here find converts a logical index into an absolute one. The only disadvantage of doing so in general is that referring to the unmasked elements becomes more difficult. 5 Exercises 1. Rewrite trap or simp (page 29) so that it does not use any loops.

Y]; Much more could be added to the polygon class, but let’s consider creating a child class square. A square is a polygon, so inheritance is appropriate. However, a square might be specified by its center, orientation, and side length. m could read as follows. 5*len)*[1 -1 -1 1]; p = rotate(polygon(x,y),[0 0],ang) + cen; end s = class(s,’square’,p); The last line defines square to be a child of class polygon. The object s will have a field named “polygon” in which the parent instance p is stored and can be accessed.

Almost all of this time, though, is spent on a noncomputational task. When MATLAB encounters the statement y = ones(100,1), it asks the operating system for a block of memory to hold 100 numbers. On the first execution of the loop, it becomes clear that we actually need space to hold 200 numbers, so a new block of this size is requested. On the next iteration, this also becomes obsolete, and more memory is allocated. The little program above requires 1001 memory allocations of increasing size, and this task occupies most of the execution time.

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Crash course in Matlab by Driscoll

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