Slither Like a Snake












7












$begingroup$


The Idea



We've done matrix spirals before, and full rotations, and even diagonal
rotations,
but not, as far as I can find, snake rotations!



What is a snake rotation?



Imagine the rows of a matrix snaking back and forth, with dividers between
them like the dividers of long queue:



    +--------------+
1 2 3 4 5|
+------------ |
|10 9 8 7 6|
| +-----------+
|11 12 13 14 15|
+------------ |
20 19 18 17 16|
+--------------+


Now imagine rotating these items by 2. Each item advances, like people moving
in a line, and the items at the end spill out and return to the beginning:



    +--------------+
--> 19 20 1 2 3|
+------------ |
| 8 7 6 5 4|
| +-----------+
| 9 10 11 12 13|
+------------ |
<-- 18 17 16 15 14|
+--------------+


If there are an odd number of rows it will exit from the right, but still wrap
to the beginning. For example, here's a 3 rotation:



    +--------------+
1 2 3 4 5|
+------------ |
|10 9 8 7 6|
| +-----------+
|11 12 13 14 15
+--------------+


+--------------+
--> 13 14 15 1 2|
+------------ |
| 7 6 5 4 3|
| +-----------+
| 8 9 10 11 12 -->
+--------------+


A negative rotation will take you backwards. Here's a -2 rotation:



    +--------------+
<-- 3 4 5 6 7|
+------------ |
|12 11 10 9 8|
| +-----------+
|13 14 15 1 2 <--
+--------------+


The Challenge



Your function or program will take 2 inputs, in any convenient format:




  • A matrix

  • A integer (positive or negative) indicating how many places to rotate it.


It will return:




  • The rotated matrix


Notes:




  • Code golf. Fewest bytes wins.

  • Matrixes need not be square, but will contain at least 2 rows and 2 columns

  • Positive integers will rotate row 1 toward the right

  • Negative integers will rotate row 1 toward the left

  • You may reverse the meaning of positive / negative rotation numbers, if convenient

  • The rotation number can be larger than the number of items. In that case, it
    will wrap. That is, it will be equivalent to the number modulo the number of
    items.

  • The matrix will contain only integers, but it may contain any integers,
    including repeats


Test Cases



Format:




  • Matrix

  • Rotation number

  • Expected return value




4 5
6 7

1

6 4
7 5




2  3  4  5
6 7 8 9
10 11 12 13

-3

5 9 8 7
12 11 10 6
13 2 3 4




8 8 7 7
5 5 6 6

10

5 5 8 8
6 6 7 7









share|improve this question











$endgroup$








  • 1




    $begingroup$
    Reversing meaning of +/- is fine. I think the entrance should stay at the top left though.
    $endgroup$
    – Jonah
    4 hours ago
















7












$begingroup$


The Idea



We've done matrix spirals before, and full rotations, and even diagonal
rotations,
but not, as far as I can find, snake rotations!



What is a snake rotation?



Imagine the rows of a matrix snaking back and forth, with dividers between
them like the dividers of long queue:



    +--------------+
1 2 3 4 5|
+------------ |
|10 9 8 7 6|
| +-----------+
|11 12 13 14 15|
+------------ |
20 19 18 17 16|
+--------------+


Now imagine rotating these items by 2. Each item advances, like people moving
in a line, and the items at the end spill out and return to the beginning:



    +--------------+
--> 19 20 1 2 3|
+------------ |
| 8 7 6 5 4|
| +-----------+
| 9 10 11 12 13|
+------------ |
<-- 18 17 16 15 14|
+--------------+


If there are an odd number of rows it will exit from the right, but still wrap
to the beginning. For example, here's a 3 rotation:



    +--------------+
1 2 3 4 5|
+------------ |
|10 9 8 7 6|
| +-----------+
|11 12 13 14 15
+--------------+


+--------------+
--> 13 14 15 1 2|
+------------ |
| 7 6 5 4 3|
| +-----------+
| 8 9 10 11 12 -->
+--------------+


A negative rotation will take you backwards. Here's a -2 rotation:



    +--------------+
<-- 3 4 5 6 7|
+------------ |
|12 11 10 9 8|
| +-----------+
|13 14 15 1 2 <--
+--------------+


The Challenge



Your function or program will take 2 inputs, in any convenient format:




  • A matrix

  • A integer (positive or negative) indicating how many places to rotate it.


It will return:




  • The rotated matrix


Notes:




  • Code golf. Fewest bytes wins.

  • Matrixes need not be square, but will contain at least 2 rows and 2 columns

  • Positive integers will rotate row 1 toward the right

  • Negative integers will rotate row 1 toward the left

  • You may reverse the meaning of positive / negative rotation numbers, if convenient

  • The rotation number can be larger than the number of items. In that case, it
    will wrap. That is, it will be equivalent to the number modulo the number of
    items.

  • The matrix will contain only integers, but it may contain any integers,
    including repeats


Test Cases



Format:




  • Matrix

  • Rotation number

  • Expected return value




4 5
6 7

1

6 4
7 5




2  3  4  5
6 7 8 9
10 11 12 13

-3

5 9 8 7
12 11 10 6
13 2 3 4




8 8 7 7
5 5 6 6

10

5 5 8 8
6 6 7 7









share|improve this question











$endgroup$








  • 1




    $begingroup$
    Reversing meaning of +/- is fine. I think the entrance should stay at the top left though.
    $endgroup$
    – Jonah
    4 hours ago














7












7








7





$begingroup$


The Idea



We've done matrix spirals before, and full rotations, and even diagonal
rotations,
but not, as far as I can find, snake rotations!



What is a snake rotation?



Imagine the rows of a matrix snaking back and forth, with dividers between
them like the dividers of long queue:



    +--------------+
1 2 3 4 5|
+------------ |
|10 9 8 7 6|
| +-----------+
|11 12 13 14 15|
+------------ |
20 19 18 17 16|
+--------------+


Now imagine rotating these items by 2. Each item advances, like people moving
in a line, and the items at the end spill out and return to the beginning:



    +--------------+
--> 19 20 1 2 3|
+------------ |
| 8 7 6 5 4|
| +-----------+
| 9 10 11 12 13|
+------------ |
<-- 18 17 16 15 14|
+--------------+


If there are an odd number of rows it will exit from the right, but still wrap
to the beginning. For example, here's a 3 rotation:



    +--------------+
1 2 3 4 5|
+------------ |
|10 9 8 7 6|
| +-----------+
|11 12 13 14 15
+--------------+


+--------------+
--> 13 14 15 1 2|
+------------ |
| 7 6 5 4 3|
| +-----------+
| 8 9 10 11 12 -->
+--------------+


A negative rotation will take you backwards. Here's a -2 rotation:



    +--------------+
<-- 3 4 5 6 7|
+------------ |
|12 11 10 9 8|
| +-----------+
|13 14 15 1 2 <--
+--------------+


The Challenge



Your function or program will take 2 inputs, in any convenient format:




  • A matrix

  • A integer (positive or negative) indicating how many places to rotate it.


It will return:




  • The rotated matrix


Notes:




  • Code golf. Fewest bytes wins.

  • Matrixes need not be square, but will contain at least 2 rows and 2 columns

  • Positive integers will rotate row 1 toward the right

  • Negative integers will rotate row 1 toward the left

  • You may reverse the meaning of positive / negative rotation numbers, if convenient

  • The rotation number can be larger than the number of items. In that case, it
    will wrap. That is, it will be equivalent to the number modulo the number of
    items.

  • The matrix will contain only integers, but it may contain any integers,
    including repeats


Test Cases



Format:




  • Matrix

  • Rotation number

  • Expected return value




4 5
6 7

1

6 4
7 5




2  3  4  5
6 7 8 9
10 11 12 13

-3

5 9 8 7
12 11 10 6
13 2 3 4




8 8 7 7
5 5 6 6

10

5 5 8 8
6 6 7 7









share|improve this question











$endgroup$




The Idea



We've done matrix spirals before, and full rotations, and even diagonal
rotations,
but not, as far as I can find, snake rotations!



What is a snake rotation?



Imagine the rows of a matrix snaking back and forth, with dividers between
them like the dividers of long queue:



    +--------------+
1 2 3 4 5|
+------------ |
|10 9 8 7 6|
| +-----------+
|11 12 13 14 15|
+------------ |
20 19 18 17 16|
+--------------+


Now imagine rotating these items by 2. Each item advances, like people moving
in a line, and the items at the end spill out and return to the beginning:



    +--------------+
--> 19 20 1 2 3|
+------------ |
| 8 7 6 5 4|
| +-----------+
| 9 10 11 12 13|
+------------ |
<-- 18 17 16 15 14|
+--------------+


If there are an odd number of rows it will exit from the right, but still wrap
to the beginning. For example, here's a 3 rotation:



    +--------------+
1 2 3 4 5|
+------------ |
|10 9 8 7 6|
| +-----------+
|11 12 13 14 15
+--------------+


+--------------+
--> 13 14 15 1 2|
+------------ |
| 7 6 5 4 3|
| +-----------+
| 8 9 10 11 12 -->
+--------------+


A negative rotation will take you backwards. Here's a -2 rotation:



    +--------------+
<-- 3 4 5 6 7|
+------------ |
|12 11 10 9 8|
| +-----------+
|13 14 15 1 2 <--
+--------------+


The Challenge



Your function or program will take 2 inputs, in any convenient format:




  • A matrix

  • A integer (positive or negative) indicating how many places to rotate it.


It will return:




  • The rotated matrix


Notes:




  • Code golf. Fewest bytes wins.

  • Matrixes need not be square, but will contain at least 2 rows and 2 columns

  • Positive integers will rotate row 1 toward the right

  • Negative integers will rotate row 1 toward the left

  • You may reverse the meaning of positive / negative rotation numbers, if convenient

  • The rotation number can be larger than the number of items. In that case, it
    will wrap. That is, it will be equivalent to the number modulo the number of
    items.

  • The matrix will contain only integers, but it may contain any integers,
    including repeats


Test Cases



Format:




  • Matrix

  • Rotation number

  • Expected return value




4 5
6 7

1

6 4
7 5




2  3  4  5
6 7 8 9
10 11 12 13

-3

5 9 8 7
12 11 10 6
13 2 3 4




8 8 7 7
5 5 6 6

10

5 5 8 8
6 6 7 7






code-golf array-manipulation matrix






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 4 hours ago







Jonah

















asked 5 hours ago









JonahJonah

2,7161017




2,7161017








  • 1




    $begingroup$
    Reversing meaning of +/- is fine. I think the entrance should stay at the top left though.
    $endgroup$
    – Jonah
    4 hours ago














  • 1




    $begingroup$
    Reversing meaning of +/- is fine. I think the entrance should stay at the top left though.
    $endgroup$
    – Jonah
    4 hours ago








1




1




$begingroup$
Reversing meaning of +/- is fine. I think the entrance should stay at the top left though.
$endgroup$
– Jonah
4 hours ago




$begingroup$
Reversing meaning of +/- is fine. I think the entrance should stay at the top left though.
$endgroup$
– Jonah
4 hours ago










1 Answer
1






active

oldest

votes


















1












$begingroup$


Jelly, 10 bytes



UÐeẎṙṁ⁸UÐe


A dyadic Link accepting the marix on the left and the rotation integer on the right (uses the reverse meaning of positive / negative)



Try it online!



How?



UÐeẎṙṁ⁸UÐe - Link: matrix of integers, M; integer, R
Ðe - apply to even indices of M:
U - reverse each
Ẏ - tighten
ṙ - rotate left by R
ṁ - mould like:
⁸ - chain's left argument, M
Ðe - apply to even indices of M:
U - reverse each





share|improve this answer











$endgroup$














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    1 Answer
    1






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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    1












    $begingroup$


    Jelly, 10 bytes



    UÐeẎṙṁ⁸UÐe


    A dyadic Link accepting the marix on the left and the rotation integer on the right (uses the reverse meaning of positive / negative)



    Try it online!



    How?



    UÐeẎṙṁ⁸UÐe - Link: matrix of integers, M; integer, R
    Ðe - apply to even indices of M:
    U - reverse each
    Ẏ - tighten
    ṙ - rotate left by R
    ṁ - mould like:
    ⁸ - chain's left argument, M
    Ðe - apply to even indices of M:
    U - reverse each





    share|improve this answer











    $endgroup$


















      1












      $begingroup$


      Jelly, 10 bytes



      UÐeẎṙṁ⁸UÐe


      A dyadic Link accepting the marix on the left and the rotation integer on the right (uses the reverse meaning of positive / negative)



      Try it online!



      How?



      UÐeẎṙṁ⁸UÐe - Link: matrix of integers, M; integer, R
      Ðe - apply to even indices of M:
      U - reverse each
      Ẏ - tighten
      ṙ - rotate left by R
      ṁ - mould like:
      ⁸ - chain's left argument, M
      Ðe - apply to even indices of M:
      U - reverse each





      share|improve this answer











      $endgroup$
















        1












        1








        1





        $begingroup$


        Jelly, 10 bytes



        UÐeẎṙṁ⁸UÐe


        A dyadic Link accepting the marix on the left and the rotation integer on the right (uses the reverse meaning of positive / negative)



        Try it online!



        How?



        UÐeẎṙṁ⁸UÐe - Link: matrix of integers, M; integer, R
        Ðe - apply to even indices of M:
        U - reverse each
        Ẏ - tighten
        ṙ - rotate left by R
        ṁ - mould like:
        ⁸ - chain's left argument, M
        Ðe - apply to even indices of M:
        U - reverse each





        share|improve this answer











        $endgroup$




        Jelly, 10 bytes



        UÐeẎṙṁ⁸UÐe


        A dyadic Link accepting the marix on the left and the rotation integer on the right (uses the reverse meaning of positive / negative)



        Try it online!



        How?



        UÐeẎṙṁ⁸UÐe - Link: matrix of integers, M; integer, R
        Ðe - apply to even indices of M:
        U - reverse each
        Ẏ - tighten
        ṙ - rotate left by R
        ṁ - mould like:
        ⁸ - chain's left argument, M
        Ðe - apply to even indices of M:
        U - reverse each






        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited 4 hours ago

























        answered 4 hours ago









        Jonathan AllanJonathan Allan

        54.2k537174




        54.2k537174






























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            If this is an answer to a challenge…




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            • …Try to optimize your score. For instance, answers to code-golf challenges should attempt to be as short as possible. You can always include a readable version of the code in addition to the competitive one.
              Explanations of your answer make it more interesting to read and are very much encouraged.


            • …Include a short header which indicates the language(s) of your code and its score, as defined by the challenge.



            More generally…




            • …Please make sure to answer the question and provide sufficient detail.


            • …Avoid asking for help, clarification or responding to other answers (use comments instead).





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