Algorithms for programmers phần 10 pdf

... relation (cf. [5] p.221)   log(x) − R  (10 −n ) + R  (10 −n x)   ≤ n 10 2(n−1) (11.207) log(x) ≈ R  (10 −n ) − R  (10 −n x) (11.208) that holds for n ≥ 3 and x ∈] 1 2 , 1[. Note that the ... performance • For correlations/convolutions save two revbin permute (or transpose) operations by combining DIF and DIT algorithms. • Real-valued transforms & convolution: use h...

Ngày tải lên: 09/08/2014, 12:22

... max # digits max # bits 10 2 110 G 220 G 730 G 10 3 1100 M 3300 M 11 G 10 4 11 M 44 M 146 M 10 5 110 k 550 k 1826 k 10 6 1 k 6, 597 22 k 10 7 11 77 255 Summarizing: • For decimal digits and precisions ... ARITHMETICAL ALGORITHMS 182 then iterate as in formulas 11.97 11.99 For a = 1 we get: 1 d = ∞  k=0 (2 −E k ) (11 .103 ) (11 .104 ) where E k+1 := E k (2 −E k ). For...

Ngày tải lên: 09/08/2014, 12:22

... 11 10 9 9: 9 8 7 6 5 4 3 2 1 0 15 14 13 12 11 10 10: 10 9 8 7 6 5 4 3 2 1 0 15 14 13 12 11 11: 11 10 9 8 7 6 5 4 3 2 1 0 15 14 13 12 12: 12 11 10 9 8 7 6 5 4 3 2 1 0 15 14 13 13: 13 12 11 10 ... 2 α + 4 α 2 . If one seek takes 10 milliseconds then one has for α = 16 (probably quite a big FFT) a total of K 10 = 105 6 · 10 milliseconds or approximately 10 seconds. With a R...

Ngày tải lên: 09/08/2014, 12:22

... algorithm for convolution using the MFA that uses revbin_permute instead of transpose is almost straight forward: rows=8 columns=4 input data (symbolic format: R00C): 0: 0 1 2 3 1: 100 0 100 1 100 2 100 3 2: ... transform of real data, be the complex conjugate of the data in row r. Therefore one can use real FFTs (R2CFTs) for all column-transforms for step 1 and half-complex to real...

Ngày tải lên: 09/08/2014, 12:22

... 15 8 9 10 11 5: 5 4 7 6 1 0 3 2 13 12 15 14 9 8 11 10 6: 6 7 4 5 2 3 0 1 14 15 12 13 10 11 8 9 7: 7 6 5 4 3 2 1 0 15 14 13 12 11 10 9 8 8: 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 9: 9 8 11 10 13 ... 7 6 10: 10 11 8 9 14 15 12 13 2 3 0 1 6 7 4 5 11: 11 10 9 8 15 14 13 12 3 2 1 0 7 6 5 4 12: 12 13 14 15 8 9 10 11 4 5 6 7 0 1 2 3 13: 13 12 15 14 9 8 11 10 5 4 7 6 1 0 3 2 14: 1...

Ngày tải lên: 09/08/2014, 12:22

... 000 010 -> 00 0100 -> 0 0100 0 -> 0100 00 -> 100 000 // 000011 -> 00 0101 -> 000 110 -> 0 0100 1 -> 0 0101 0 -> 00 1100 -> 0100 01 -> // 000111 -> 0 0101 1 -> 00 1101 -> ... negative for index x // returns 1 for x = // 3,6,11,12,13,15,19,22,24,25,26,30,35,38,43,44,45,47,48,49, // 50,52,53,55,59,60,61,63,67,70,75,76,77,79,83,86,88,89,90,94, //...

Ngày tải lên: 09/08/2014, 12:22

... -8 19 100 11 1100 1 25 16 y 20 101 00 0 0101 5 -20 21 101 01 101 01 21 16 22 101 10 0 1101 13 -8 23 101 11 1 1101 29 16 y 24 1100 0 00011 3 -26 25 1100 1 100 11 19 16 26 1101 0 0101 1 11 -8 27 1101 1 1101 1 27 ... y 10 0101 0 0101 0 10 -8 11 0101 1 1101 0 26 16 y 12 0 1100 00 110 6 -20 13 0 1101 101 10 22 16 y 14 01 110 01 110 14 -8 15 01111 11 110 30 16 y 16 100 00 00001 1 -...

Ngày tải lên: 09/08/2014, 12:22

... q*floor(1/q*(x+q/2)) // e.g.: q=1 ==> round to nearest integer // q=1 /100 0 ==> round to nearest multiple of 1 /100 0 // For inexact types (float or double) { Type qh = q * 0.5; Type q1 = 1.0 ... time used for searching with: CHAPTER 9. SORTING AND SEARCHING 141 the fastest method because of its minimal bookkeeping overhead and (2) therefore it is used inside the quicksort for le...

Ngày tải lên: 09/08/2014, 12:22