Re: Appending to Lists
- To: mathgroup at smc.vnet.net
- Subject: [mg27057] Re: [mg27045] Appending to Lists
- From: BobHanlon at aol.com
- Date: Sat, 3 Feb 2001 04:58:53 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
b = {0.2, 0.6, 1.2, -0.2, 0.5, 0.3, 0.7, -0.2, -0.6}; c = {1, 2, 3, 1, 2, 1, 2, 1, 1}; a = (Split[Ordering[c], c[[#1]] == c[[#2]]&] /. n_Integer :> b[[n]]) {{0.2, 0.3, -0.2, -0.2, -0.6}, {0.6, 0.5, 0.7}, {1.2}} PadRight[#, Max[Length /@ a]]& /@ a {{0.2, 0.3, -0.2, -0.2, -0.6}, {0.6, 0.5, 0.7, 0, 0}, {1.2, 0, 0, 0, 0}} Bob Hanlon In a message dated 2001/2/1 3:41:34 AM, j.k.jones at dl.ac.uk writes: >I have a function that creates a list (a) from another list (b). The list >elements are re-grouped in the new list according to a third list (c). >A >Position command is applied to list (c) for an element, then with this >output the list (a) is created from list (b) at positions given by the >element position data, list (c). This is repeated for the large number >of >elements in the original lists. >The Position command is necessary as different elements appear in the list >a >different number of times. >However, with the large number of elements in the lists (approx 50,000 >for a >simple list), this method is _very_ slow. >If any one can give me help in speeding this process up I would be very >grateful. > >The data sets would look like this > > b c > > 0.2 1 > 0.6 2 > 1.2 3 > -0.2 1 > 0.5 2 > 0.3 1 > 0.7 2 > -0.2 1 > -0.6 1 > >A List would then be created from this data ( the list (a) ) containing >vectors for 1, 2 and 3. The data in (b) is not important, and the order >in >which elements in (c) drop out is not set. >In this case the (a) list should look like > >a = { { 0.2, -0.2, -0.2, -0.6} , {0.6, 0.5, 0.7} , { 1.2 } } > >My current function looks like this > >Do[AppendTo[xfinal, > Flatten[Part[X, #] & /@ > Position[Global`PARTICLE, i]]], {i, 1, > Max[PARTICLE]}]; > >where xfinal is an (a) list, i.e. to be created. > X is the (b) list , i.e. to be addressed, and > PARTICLE is the (c) list. It is referenced by number. > >and it is very slow! > >Also, after producing this list, the different vector elements need to >be >made the same length, and so 0.0 are added to the ends of all vector >elements shorter than the longest. My current function for doing this looks >like > >table = Table[0.0, {Length[First[long]]}]; Print["Table Created!"]; > >Do[If[Length[Part[xfinal, i]] < Length[First[long]], > AppendTo[Part[xfinal, i], > Drop[table, (Length[Part[xfinal, i]])] ]], {i, 2, > Length[xfinal]}]; > >where list (long) just sorts the list elements according to length. > >This function is also very slow, and I was wondering, again, if anyone >knew >a faster way of implementing this. Is the production of a table, once, >and >then dropping bits off and appending the fastest method? Of course this >needs to be done tens of thousands of times per set of data so any small >speed increase would be very helpful ;-> >