Returning the outputs of a nested structure
1
$begingroup$
Say we have a list
l = {{{a, b}, c}, d}
To which we then apply a function F in the following manner
Replace[l, x_List :> F[x], All]
F[{F[{F[{a, b}], c}], d}]
Is there away of extracting the outputs of each application of F to l, so that we get a list
{F[{a,b}],F[{F[{a,b}],c}],F[{F[{F[{a, b}], c}], d}]}
?
list-manipulation
asked 2 hours ago
amator2357amator2357
4928
$endgroup$
add a comment |
1
$begingroup$
Say we have a list
l = {{{a, b}, c}, d}
To which we then apply a function F in the following manner
Replace[l, x_List :> F[x], All]
F[{F[{F[{a, b}], c}], d}]
Is there away of extracting the outputs of each application of F to l, so that we get a list
{F[{a,b}],F[{F[{a,b}],c}],F[{F[{F[{a, b}], c}], d}]}
?
list-manipulation
asked 2 hours ago
amator2357amator2357
4928
$endgroup$
1
$begingroup$
Try withSow+Reap
$endgroup$
– Kuba♦
2 hours ago
add a comment |
1
1
1
$begingroup$
Say we have a list
l = {{{a, b}, c}, d}
To which we then apply a function F in the following manner
Replace[l, x_List :> F[x], All]
F[{F[{F[{a, b}], c}], d}]
Is there away of extracting the outputs of each application of F to l, so that we get a list
{F[{a,b}],F[{F[{a,b}],c}],F[{F[{F[{a, b}], c}], d}]}
?
list-manipulation
asked 2 hours ago
amator2357amator2357
4928
$endgroup$
Say we have a list
l = {{{a, b}, c}, d}
To which we then apply a function F in the following manner
Replace[l, x_List :> F[x], All]
F[{F[{F[{a, b}], c}], d}]
Is there away of extracting the outputs of each application of F to l, so that we get a list
{F[{a,b}],F[{F[{a,b}],c}],F[{F[{F[{a, b}], c}], d}]}
?
list-manipulation
list-manipulation
asked 2 hours ago
amator2357amator2357
4928
asked 2 hours ago
amator2357amator2357
4928
asked 2 hours ago
amator2357amator2357
4928
asked 2 hours ago
amator2357amator2357
4928
asked 2 hours ago
amator2357amator2357
4928
4928
1
$begingroup$
Try withSow+Reap
$endgroup$
– Kuba♦
2 hours ago
add a comment |
1
$begingroup$
Try withSow+Reap
$endgroup$
– Kuba♦
2 hours ago
1
1
$begingroup$
Try with
Sow+Reap$endgroup$
– Kuba♦
2 hours ago
$begingroup$
Try with
Sow+Reap$endgroup$
– Kuba♦
2 hours ago
add a comment |
2 Answers
2
active
oldest
votes
1
$begingroup$
I think I'd do it with FoldList. Like so:
l = {{{a, b}, c}, d};
FoldList[F[{#1, #2}] &, Flatten @ l] // Rest
{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}
answered 2 hours ago
m_goldbergm_goldberg
89.3k873201
$endgroup$
$begingroup$
That is very nice! Thank you.
$endgroup$
– amator2357
51 mins ago
$begingroup$
@amator2357. Thanks for accepting my answer. But I don't understand why you considered it worth an acceptance but not an up-vote. You are aware, aren't you, that you can do both.
$endgroup$
– m_goldberg
44 mins ago
$begingroup$
Yes, I am aware, it wasn't intentional tho, I thought that I did upvote it. Thanks for pointing it out :)
$endgroup$
– amator2357
40 mins ago
$begingroup$
@amator2357. Your welcome and thank you for the up-vote.
$endgroup$
– m_goldberg
39 mins ago
add a comment |
2
$begingroup$
Using @Kuba 's suggestion:
Reap[Replace[l, x_List :> Sow[F[x]], All]]
{F[{F[{F[{a, b}], c}], d}], {{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}}}
So to get precisely what I want
Reap[Replace[l, x_List :> Sow[F[x]], All]][[2]]
{{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}}
answered 2 hours ago
amator2357amator2357
4928
$endgroup$
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
1
$begingroup$
I think I'd do it with FoldList. Like so:
l = {{{a, b}, c}, d};
FoldList[F[{#1, #2}] &, Flatten @ l] // Rest
{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}
answered 2 hours ago
m_goldbergm_goldberg
89.3k873201
$endgroup$
$begingroup$
That is very nice! Thank you.
$endgroup$
– amator2357
51 mins ago
$begingroup$
@amator2357. Thanks for accepting my answer. But I don't understand why you considered it worth an acceptance but not an up-vote. You are aware, aren't you, that you can do both.
$endgroup$
– m_goldberg
44 mins ago
$begingroup$
Yes, I am aware, it wasn't intentional tho, I thought that I did upvote it. Thanks for pointing it out :)
$endgroup$
– amator2357
40 mins ago
$begingroup$
@amator2357. Your welcome and thank you for the up-vote.
$endgroup$
– m_goldberg
39 mins ago
add a comment |
1
$begingroup$
I think I'd do it with FoldList. Like so:
l = {{{a, b}, c}, d};
FoldList[F[{#1, #2}] &, Flatten @ l] // Rest
{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}
answered 2 hours ago
m_goldbergm_goldberg
89.3k873201
$endgroup$
$begingroup$
That is very nice! Thank you.
$endgroup$
– amator2357
51 mins ago
$begingroup$
@amator2357. Thanks for accepting my answer. But I don't understand why you considered it worth an acceptance but not an up-vote. You are aware, aren't you, that you can do both.
$endgroup$
– m_goldberg
44 mins ago
$begingroup$
Yes, I am aware, it wasn't intentional tho, I thought that I did upvote it. Thanks for pointing it out :)
$endgroup$
– amator2357
40 mins ago
$begingroup$
@amator2357. Your welcome and thank you for the up-vote.
$endgroup$
– m_goldberg
39 mins ago
add a comment |
1
1
1
$begingroup$
I think I'd do it with FoldList. Like so:
l = {{{a, b}, c}, d};
FoldList[F[{#1, #2}] &, Flatten @ l] // Rest
{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}
answered 2 hours ago
m_goldbergm_goldberg
89.3k873201
$endgroup$
I think I'd do it with FoldList. Like so:
l = {{{a, b}, c}, d};
FoldList[F[{#1, #2}] &, Flatten @ l] // Rest
{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}
answered 2 hours ago
m_goldbergm_goldberg
89.3k873201
edited 1 hour ago
answered 2 hours ago
m_goldbergm_goldberg
89.3k873201
answered 2 hours ago
m_goldbergm_goldberg
89.3k873201
answered 2 hours ago
m_goldbergm_goldberg
89.3k873201
89.3k873201
$begingroup$
That is very nice! Thank you.
$endgroup$
– amator2357
51 mins ago
$begingroup$
@amator2357. Thanks for accepting my answer. But I don't understand why you considered it worth an acceptance but not an up-vote. You are aware, aren't you, that you can do both.
$endgroup$
– m_goldberg
44 mins ago
$begingroup$
Yes, I am aware, it wasn't intentional tho, I thought that I did upvote it. Thanks for pointing it out :)
$endgroup$
– amator2357
40 mins ago
$begingroup$
@amator2357. Your welcome and thank you for the up-vote.
$endgroup$
– m_goldberg
39 mins ago
add a comment |
$begingroup$
That is very nice! Thank you.
$endgroup$
– amator2357
51 mins ago
$begingroup$
@amator2357. Thanks for accepting my answer. But I don't understand why you considered it worth an acceptance but not an up-vote. You are aware, aren't you, that you can do both.
$endgroup$
– m_goldberg
44 mins ago
$begingroup$
Yes, I am aware, it wasn't intentional tho, I thought that I did upvote it. Thanks for pointing it out :)
$endgroup$
– amator2357
40 mins ago
$begingroup$
@amator2357. Your welcome and thank you for the up-vote.
$endgroup$
– m_goldberg
39 mins ago
$begingroup$
That is very nice! Thank you.
$endgroup$
– amator2357
51 mins ago
$begingroup$
That is very nice! Thank you.
$endgroup$
– amator2357
51 mins ago
$begingroup$
@amator2357. Thanks for accepting my answer. But I don't understand why you considered it worth an acceptance but not an up-vote. You are aware, aren't you, that you can do both.
$endgroup$
– m_goldberg
44 mins ago
$begingroup$
@amator2357. Thanks for accepting my answer. But I don't understand why you considered it worth an acceptance but not an up-vote. You are aware, aren't you, that you can do both.
$endgroup$
– m_goldberg
44 mins ago
$begingroup$
Yes, I am aware, it wasn't intentional tho, I thought that I did upvote it. Thanks for pointing it out :)
$endgroup$
– amator2357
40 mins ago
$begingroup$
Yes, I am aware, it wasn't intentional tho, I thought that I did upvote it. Thanks for pointing it out :)
$endgroup$
– amator2357
40 mins ago
$begingroup$
@amator2357. Your welcome and thank you for the up-vote.
$endgroup$
– m_goldberg
39 mins ago
$begingroup$
@amator2357. Your welcome and thank you for the up-vote.
$endgroup$
– m_goldberg
39 mins ago
add a comment |
2
$begingroup$
Using @Kuba 's suggestion:
Reap[Replace[l, x_List :> Sow[F[x]], All]]
{F[{F[{F[{a, b}], c}], d}], {{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}}}
So to get precisely what I want
Reap[Replace[l, x_List :> Sow[F[x]], All]][[2]]
{{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}}
answered 2 hours ago
amator2357amator2357
4928
$endgroup$
add a comment |
2
$begingroup$
Using @Kuba 's suggestion:
Reap[Replace[l, x_List :> Sow[F[x]], All]]
{F[{F[{F[{a, b}], c}], d}], {{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}}}
So to get precisely what I want
Reap[Replace[l, x_List :> Sow[F[x]], All]][[2]]
{{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}}
answered 2 hours ago
amator2357amator2357
4928
$endgroup$
add a comment |
2
2
2
$begingroup$
Using @Kuba 's suggestion:
Reap[Replace[l, x_List :> Sow[F[x]], All]]
{F[{F[{F[{a, b}], c}], d}], {{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}}}
So to get precisely what I want
Reap[Replace[l, x_List :> Sow[F[x]], All]][[2]]
{{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}}
answered 2 hours ago
amator2357amator2357
4928
$endgroup$
Using @Kuba 's suggestion:
Reap[Replace[l, x_List :> Sow[F[x]], All]]
{F[{F[{F[{a, b}], c}], d}], {{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}}}
So to get precisely what I want
Reap[Replace[l, x_List :> Sow[F[x]], All]][[2]]
{{F[{a, b}], F[{F[{a, b}], c}], F[{F[{F[{a, b}], c}], d}]}}
answered 2 hours ago
amator2357amator2357
4928
edited 39 mins ago
answered 2 hours ago
amator2357amator2357
4928
answered 2 hours ago
amator2357amator2357
4928
answered 2 hours ago
amator2357amator2357
4928
4928
add a comment |
add a comment |
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1
$begingroup$
Try with
Sow+Reap$endgroup$
– Kuba♦
2 hours ago