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functions - Applying And to lists of Booleans


I'd like to take {True,True,False} and {True,False,False} and apply And to get {True,False,False}. Right now I'm using


And @@ # & /@ Transpose[{{True, True, False}, {True, False, False}}]

Is that really the best way? I would like And[{True, True, False}, {True, False, False}] to work but it does not.



Answer



I like more :


MapThread[ And, {{True, True, False}, {True, False, False}}]



{True, False, False}

Edit


We should test efficiency of various methods for a few different lists.


Definitions


Argento[l_] := (And @@ # & /@ Transpose[l]; // AbsoluteTiming // First)
Brett[l_]   := (And @@@ Transpose[l]; // AbsoluteTiming // First)
Artes[l_]   := (MapThread[And, l]; // AbsoluteTiming // First)
kguler[l_]  := (And[l[[1]], l[[2]]] // Thread; // AbsoluteTiming // First)
RM[l_]      := (Inner[And, l[[1]], l[[2]], List]; // AbsoluteTiming // First)


Test I


l1 = RandomChoice[{True, False}, {2, 10^5}];
Argento[l1]
Brett[l1]
Artes[l1]
kguler[l1]
RM[l1]



0.2710000
0.0820000
0.0530000
0.0520000
0.0390000

Test II


l2 = RandomChoice[{True, False}, {2, 7 10^5}];
Argento[l2]
Brett[l2]

Artes[l2]
kguler[l2]
RM[l2]


1.4690000
0.5820000
0.3840000
0.3700000
0.2890000


Test III


l3 = RandomChoice[{True, False}, {2, 3 10^6}];
Argento[l3]
Brett[l3]
Artes[l3]
kguler[l3]
RM[l3]



6.2320000
2.4750000
1.6530000
1.4150000
1.2150000

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