Re: A fast way to compare two vectors
- To: mathgroup at smc.vnet.net
- Subject: [mg121723] Re: A fast way to compare two vectors
- From: Ray Koopman <koopman at sfu.ca>
- Date: Tue, 27 Sep 2011 06:21:57 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- References: <j5m44t$ple$1@smc.vnet.net> <j5mt8t$sn8$1@smc.vnet.net> <j5pc7f$8c8$1@smc.vnet.net>
On Sep 26, 1:13 am, Yasha Gindikin <gindi... at gmail.com> wrote:
> Alas, there was a misprint in my code, I'm terribly sorry
> about that. The length of the intersection R should be >=n-2,
> where n is the length of the vector a[[p]]. Thank you so much
> for your realization of the poscom function, I'll explore the
> performance gain and report here.:)
vcomb is a version of hyperfastVectorCompareBag
that always returns all the differences
vcomb = Compile[{{v1, _Integer, 1}, {v2, _Integer, 1}},
Block[{i1 = 1, i2 = 1,
d1 = Internal`Bag@Most[{0}], d2 = Internal`Bag@Most[{0}]},
(* Run along the lists, recording differences as we go *)
While[i1 <= Length[v1] && i2 <= Length[v2],
Which[v1[[i1]] < v2[[i2]], Internal`StuffBag[d1, i1]; i1++,
v1[[i1]] > v2[[i2]], Internal`StuffBag[d2, i2]; i2++,
True , i1++; i2++ ]];
(* Fix up in case we ran off the end of one of the lists *)
While[i1 <= Length[v1], Internal`StuffBag[d1, i1]; i1++];
While[i2 <= Length[v2], Internal`StuffBag[d2, i2]; i2++];
{Internal`BagPart[d1, All], Internal`BagPart[d2, All]} ] ] ;
vkom is a merged version of two poskom's
that also returns all the differences
vkom[a_,b_] := Block[{
r = SparseArray[ Automatic, {Max[a[[-1]],b[[-1]]]}, 0,
{1, {{0, Length@a}, Transpose@{a}}, Range@Length@a} ],
s = SparseArray[ Automatic, {Max[a[[-1]],b[[-1]]]}, 0,
{1, {{0, Length@b}, Transpose@{b}}, Range@Length@b} ]},
r[[b]] = ConstantArray[0,Length@b];
s[[a]] = ConstantArray[0,Length@a];
{r /. SparseArray[_,_,_,d_] :> d[[3]],
s /. SparseArray[_,_,_,d_] :> d[[3]]}]
This is one of the approximate break-even data configurations
ab = Table[Sort@RandomSample[Range@200,100],{1*^4},{2}];
AbsoluteTiming[u = vcomb @@@ ab;]
{2.202807, Null}
AbsoluteTiming[v = vkom @@@ ab;]
{2.101078, Null}
u === v
True