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authorPeter Drahoš <drahosp@gmail.com>2010-10-01 03:22:32 +0200
committerPeter Drahoš <drahosp@gmail.com>2010-10-01 03:22:32 +0200
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1--
2-- FIBONACCI.LUA Copyright (c) 2007-08, Asko Kauppi <akauppi@gmail.com>
3--
4-- Parallel calculation of Fibonacci numbers
5--
6-- A sample of task splitting like Intel TBB library does.
7--
8-- References:
9-- Intel Threading Building Blocks, 'test all'
10-- <http://shareit.intel.com/WikiHome/Articles/111111316>
11--
12
13-- Need to say it's 'local' so it can be an upvalue
14--
15local lanes= require "lanes"
16
17local function WR(str)
18 io.stderr:write( str.."\n" )
19end
20
21-- Threshold for serial calculation (optimal depends on multithreading fixed
22-- cost and is system specific)
23--
24local KNOWN= { [0]=0, 1,1,2,3,5,8,13,21,34,55,89,144 }
25
26--
27-- uint= fib( n_uint )
28--
29local function fib( n )
30 --
31 local sum
32 local floor= assert(math.floor)
33
34 WR( "fib("..n..")" )
35
36 if n <= #KNOWN then
37 sum= KNOWN[n]
38 else
39 -- Splits into two; this task remains waiting for the results
40 --
41 local gen_f= lanes.gen( "io,math,debug", fib )
42
43 local n1=floor(n/2) +1
44 local n2=floor(n/2) -1 + n%2
45
46 WR( "splitting "..n.." -> "..n1.." "..n2 )
47
48 local a= gen_f( n1 )
49 local b= gen_f( n2 )
50
51 -- children running...
52
53 local a2= a[1]^2
54 local b2= b[1]^2
55
56 sum = (n%2==1) and a2+b2 or a2-b2
57 end
58
59 io.stderr:write( "fib("..n..") = "..sum.."\n" )
60
61 return sum
62end
63
64--
65-- Right answers from: <http://sonic.net/~douglasi/fibo.htm>
66--
67local right= { 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, 2971215073, 4807526976, 7778742049, 12586269025, 20365011074, 32951280099, 53316291173, 86267571272, 139583862445, 225851433717, 365435296162, 591286729879, 956722026041, 1548008755920, 2504730781961, 4052739537881, 6557470319842, 10610209857723, 17167680177565, 27777890035288, 44945570212853, 72723460248141, 117669030460994, 190392490709135, 308061521170129, 498454011879264, 806515533049393, 1304969544928657, 2111485077978050, 3416454622906707, 5527939700884757, 8944394323791464, 14472334024676220, 23416728348467684, 37889062373143900, 61305790721611580, 99194853094755490, 160500643816367070, 259695496911122560, 420196140727489660, 679891637638612200, 1100087778366101900, 1779979416004714000, 2880067194370816000, 4660046610375530000, 7540113804746346000, 12200160415121877000, 19740274219868226000, 31940434634990105000, 51680708854858334000, 83621143489848440000, 135301852344706780000, 218922995834555200000
68}
69assert( #right==99 )
70
71local N= 80
72local res= fib(N)
73print( right[N] )
74assert( res==right[N] )
75