Sorting a list while keeping its correspondence to another list

up vote
5
down vote

favorite

I have the following two lists:

ids = {5, 11, 17, 24, 31, 37, 40, 39, 38, 33, 32, 25}



values = {0.0351563, 0.131836, 0.086792, 0.0637894, 0.065752, 0.191388, 0.063796, 0.173784, 0.0503769, 0.0875244, 0.0146484, 0.0351563}

where entries in values correspond to entries in ids.

I now wish to sort ids in ascending order while maintaining the correspondence to values, such that elements in values must be changed according to the changes made to ids.

How can that be achieved?

edited Dec 2 at 16:49

asked Dec 2 at 16:40

user120911

53818

values[[Ordering@ids]] and SortBy[Transpose[{ids, values}], First] == Transpose[{Sort@ids, values[[Ordering@ids]]}]
– user1066
Dec 2 at 17:53

add a comment |

up vote
5
down vote

favorite

I have the following two lists:

ids = {5, 11, 17, 24, 31, 37, 40, 39, 38, 33, 32, 25}



values = {0.0351563, 0.131836, 0.086792, 0.0637894, 0.065752, 0.191388, 0.063796, 0.173784, 0.0503769, 0.0875244, 0.0146484, 0.0351563}

where entries in values correspond to entries in ids.

I now wish to sort ids in ascending order while maintaining the correspondence to values, such that elements in values must be changed according to the changes made to ids.

How can that be achieved?

edited Dec 2 at 16:49

asked Dec 2 at 16:40

user120911

53818

values[[Ordering@ids]] and SortBy[Transpose[{ids, values}], First] == Transpose[{Sort@ids, values[[Ordering@ids]]}]
– user1066
Dec 2 at 17:53

add a comment |

up vote
5
down vote

favorite

I have the following two lists:

ids = {5, 11, 17, 24, 31, 37, 40, 39, 38, 33, 32, 25}



values = {0.0351563, 0.131836, 0.086792, 0.0637894, 0.065752, 0.191388, 0.063796, 0.173784, 0.0503769, 0.0875244, 0.0146484, 0.0351563}

where entries in values correspond to entries in ids.

I now wish to sort ids in ascending order while maintaining the correspondence to values, such that elements in values must be changed according to the changes made to ids.

How can that be achieved?

edited Dec 2 at 16:49

asked Dec 2 at 16:40

user120911

53818

I have the following two lists:

ids = {5, 11, 17, 24, 31, 37, 40, 39, 38, 33, 32, 25}



values = {0.0351563, 0.131836, 0.086792, 0.0637894, 0.065752, 0.191388, 0.063796, 0.173784, 0.0503769, 0.0875244, 0.0146484, 0.0351563}

where entries in values correspond to entries in ids.

I now wish to sort ids in ascending order while maintaining the correspondence to values, such that elements in values must be changed according to the changes made to ids.

How can that be achieved?

list-manipulation

edited Dec 2 at 16:49

asked Dec 2 at 16:40

user120911

53818

edited Dec 2 at 16:49

asked Dec 2 at 16:40

user120911

53818

edited Dec 2 at 16:49

asked Dec 2 at 16:40

user120911

53818

asked Dec 2 at 16:40

user120911

53818

asked Dec 2 at 16:40

user120911

53818

values[[Ordering@ids]] and SortBy[Transpose[{ids, values}], First] == Transpose[{Sort@ids, values[[Ordering@ids]]}]
– user1066
Dec 2 at 17:53

add a comment |

values[[Ordering@ids]] and SortBy[Transpose[{ids, values}], First] == Transpose[{Sort@ids, values[[Ordering@ids]]}]
– user1066
Dec 2 at 17:53

values[[Ordering@ids]] and SortBy[Transpose[{ids, values}], First] == Transpose[{Sort@ids, values[[Ordering@ids]]}]
– user1066
Dec 2 at 17:53

add a comment |

4 Answers
4

active

oldest

votes

up vote
5
down vote

accepted

With[{p = Ordering[ids]},

 idsnew = ids[[p]];

 valuesnew = values[[p]];

 ]

idsnew

valuesnew

{5, 11, 17, 24, 25, 31, 32, 33, 37, 38, 39, 40}

{0.0351563, 0.131836, 0.086792, 0.0637894, 0.0351563, 0.065752, 0.0146484, 0.0875244, 0.191388, 0.0503769, 0.173784, 0.063796}

edited Dec 2 at 17:06

answered Dec 2 at 16:48

Henrik Schumacher

46.8k466134

This generates an error for me: Set::write: Tag Times in valuesnew {5,11,17,24,25,31,32,33,37,38,39,40} is Protected.
– user120911
Dec 2 at 16:59

Sorry, I missed a semicolon that was necessary after wrapping everything with With. Please try again.
– Henrik Schumacher
Dec 2 at 17:07

add a comment |

up vote
4
down vote

I would keep them together while sorting.

SortBy[Transpose[{ids, values}], First]

{{5, 0.0351563}, {11, 0.131836}, {17, 0.086792}, {24, 0.0637894}, {25,

   0.0351563}, {31, 0.065752}, {32, 0.0146484}, {33, 0.0875244}, {37, 

  0.191388}, {38, 0.0503769}, {39, 0.173784}, {40, 0.063796}}

answered Dec 2 at 16:45

Johu

3,6531037

See also my remark under Okke's post.
– Henrik Schumacher
Dec 2 at 18:17

add a comment |

up vote
4
down vote

AssociationThread[ids, values] // KeySort

Edit
To extract keys and values

sorted = AssociationThread[ids, values] // KeySort

sortedIds = Keys[sorted]

sortedValues = Values[sorted]

edited Dec 2 at 17:24

answered Dec 2 at 16:46

Rohit Namjoshi

7031110

This looks simple, but how do I work with these afterwards?
– user120911
Dec 2 at 17:00

@user120911 Added sorted key / value extraction.
– Rohit Namjoshi
Dec 2 at 17:24

add a comment |

up vote
2
down vote

Since Sort sort it by the first entry by default

Sort@Transpose@{ids, values}

{{5, 0.0351563}, {11, 0.131836}, {17, 0.086792}, {24, 0.0637894}, {25,
0.0351563}, {31, 0.065752}, {32, 0.0146484}, {33, 0.0875244}, {37,
0.191388}, {38, 0.0503769}, {39, 0.173784}, {40, 0.063796}}

answered Dec 2 at 18:07

Okkes Dulgerci

3,7131716

1

A problem that arises here with Transpose is is that it unpacks arrays: ids is a list of integers and values is a list of machine reals. So both can be packed separately; but not Transpose@{ids, values} as it has mixed data types. This may become important when processing large datasets.
– Henrik Schumacher
Dec 2 at 18:16

add a comment |

Your Answer

StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\$","\$"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "387"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});

}
});

draft saved

draft discarded

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Post as a guest

Name

Required, but never shown

StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f187161%2fsorting-a-list-while-keeping-its-correspondence-to-another-list%23new-answer', 'question_page');
}
);

Post as a guest

Name

Required, but never shown

4 Answers
4

active

oldest

votes

4 Answers
4

active

oldest

votes

up vote
5
down vote

accepted

With[{p = Ordering[ids]},

 idsnew = ids[[p]];

 valuesnew = values[[p]];

 ]

idsnew

valuesnew

{5, 11, 17, 24, 25, 31, 32, 33, 37, 38, 39, 40}

{0.0351563, 0.131836, 0.086792, 0.0637894, 0.0351563, 0.065752, 0.0146484, 0.0875244, 0.191388, 0.0503769, 0.173784, 0.063796}

edited Dec 2 at 17:06

answered Dec 2 at 16:48

Henrik Schumacher

46.8k466134

This generates an error for me: Set::write: Tag Times in valuesnew {5,11,17,24,25,31,32,33,37,38,39,40} is Protected.
– user120911
Dec 2 at 16:59

Sorry, I missed a semicolon that was necessary after wrapping everything with With. Please try again.
– Henrik Schumacher
Dec 2 at 17:07

add a comment |

up vote
5
down vote

accepted

With[{p = Ordering[ids]},

 idsnew = ids[[p]];

 valuesnew = values[[p]];

 ]

idsnew

valuesnew

{5, 11, 17, 24, 25, 31, 32, 33, 37, 38, 39, 40}

{0.0351563, 0.131836, 0.086792, 0.0637894, 0.0351563, 0.065752, 0.0146484, 0.0875244, 0.191388, 0.0503769, 0.173784, 0.063796}

edited Dec 2 at 17:06

answered Dec 2 at 16:48

Henrik Schumacher

46.8k466134

This generates an error for me: Set::write: Tag Times in valuesnew {5,11,17,24,25,31,32,33,37,38,39,40} is Protected.
– user120911
Dec 2 at 16:59

Sorry, I missed a semicolon that was necessary after wrapping everything with With. Please try again.
– Henrik Schumacher
Dec 2 at 17:07

add a comment |

up vote
5
down vote

accepted

With[{p = Ordering[ids]},

 idsnew = ids[[p]];

 valuesnew = values[[p]];

 ]

idsnew

valuesnew

{5, 11, 17, 24, 25, 31, 32, 33, 37, 38, 39, 40}

{0.0351563, 0.131836, 0.086792, 0.0637894, 0.0351563, 0.065752, 0.0146484, 0.0875244, 0.191388, 0.0503769, 0.173784, 0.063796}

edited Dec 2 at 17:06

answered Dec 2 at 16:48

Henrik Schumacher

46.8k466134

With[{p = Ordering[ids]},

 idsnew = ids[[p]];

 valuesnew = values[[p]];

 ]

idsnew

valuesnew

{5, 11, 17, 24, 25, 31, 32, 33, 37, 38, 39, 40}

{0.0351563, 0.131836, 0.086792, 0.0637894, 0.0351563, 0.065752, 0.0146484, 0.0875244, 0.191388, 0.0503769, 0.173784, 0.063796}

edited Dec 2 at 17:06

answered Dec 2 at 16:48

Henrik Schumacher

46.8k466134

edited Dec 2 at 17:06

answered Dec 2 at 16:48

Henrik Schumacher

46.8k466134

answered Dec 2 at 16:48

Henrik Schumacher

46.8k466134

answered Dec 2 at 16:48

Henrik Schumacher

46.8k466134

This generates an error for me: Set::write: Tag Times in valuesnew {5,11,17,24,25,31,32,33,37,38,39,40} is Protected.
– user120911
Dec 2 at 16:59

Sorry, I missed a semicolon that was necessary after wrapping everything with With. Please try again.
– Henrik Schumacher
Dec 2 at 17:07

add a comment |

This generates an error for me: Set::write: Tag Times in valuesnew {5,11,17,24,25,31,32,33,37,38,39,40} is Protected.
– user120911
Dec 2 at 16:59

Sorry, I missed a semicolon that was necessary after wrapping everything with With. Please try again.
– Henrik Schumacher
Dec 2 at 17:07

This generates an error for me: Set::write: Tag Times in valuesnew {5,11,17,24,25,31,32,33,37,38,39,40} is Protected.
– user120911
Dec 2 at 16:59

Sorry, I missed a semicolon that was necessary after wrapping everything with With. Please try again.
– Henrik Schumacher
Dec 2 at 17:07

add a comment |

up vote
4
down vote

I would keep them together while sorting.

SortBy[Transpose[{ids, values}], First]

{{5, 0.0351563}, {11, 0.131836}, {17, 0.086792}, {24, 0.0637894}, {25,

   0.0351563}, {31, 0.065752}, {32, 0.0146484}, {33, 0.0875244}, {37, 

  0.191388}, {38, 0.0503769}, {39, 0.173784}, {40, 0.063796}}

answered Dec 2 at 16:45

Johu

3,6531037

See also my remark under Okke's post.
– Henrik Schumacher
Dec 2 at 18:17

add a comment |

up vote
4
down vote

I would keep them together while sorting.

SortBy[Transpose[{ids, values}], First]

{{5, 0.0351563}, {11, 0.131836}, {17, 0.086792}, {24, 0.0637894}, {25,

   0.0351563}, {31, 0.065752}, {32, 0.0146484}, {33, 0.0875244}, {37, 

  0.191388}, {38, 0.0503769}, {39, 0.173784}, {40, 0.063796}}

answered Dec 2 at 16:45

Johu

3,6531037

See also my remark under Okke's post.
– Henrik Schumacher
Dec 2 at 18:17

add a comment |

up vote
4
down vote

I would keep them together while sorting.

SortBy[Transpose[{ids, values}], First]

{{5, 0.0351563}, {11, 0.131836}, {17, 0.086792}, {24, 0.0637894}, {25,

   0.0351563}, {31, 0.065752}, {32, 0.0146484}, {33, 0.0875244}, {37, 

  0.191388}, {38, 0.0503769}, {39, 0.173784}, {40, 0.063796}}

answered Dec 2 at 16:45

Johu

3,6531037

I would keep them together while sorting.

SortBy[Transpose[{ids, values}], First]

{{5, 0.0351563}, {11, 0.131836}, {17, 0.086792}, {24, 0.0637894}, {25,

   0.0351563}, {31, 0.065752}, {32, 0.0146484}, {33, 0.0875244}, {37, 

  0.191388}, {38, 0.0503769}, {39, 0.173784}, {40, 0.063796}}

answered Dec 2 at 16:45

Johu

3,6531037

answered Dec 2 at 16:45

Johu

3,6531037

answered Dec 2 at 16:45

Johu

3,6531037

answered Dec 2 at 16:45

Johu

3,6531037

See also my remark under Okke's post.
– Henrik Schumacher
Dec 2 at 18:17

add a comment |

See also my remark under Okke's post.
– Henrik Schumacher
Dec 2 at 18:17

See also my remark under Okke's post.
– Henrik Schumacher
Dec 2 at 18:17

add a comment |

up vote
4
down vote

AssociationThread[ids, values] // KeySort

Edit
To extract keys and values

sorted = AssociationThread[ids, values] // KeySort

sortedIds = Keys[sorted]

sortedValues = Values[sorted]

edited Dec 2 at 17:24

answered Dec 2 at 16:46

Rohit Namjoshi

7031110

This looks simple, but how do I work with these afterwards?
– user120911
Dec 2 at 17:00

@user120911 Added sorted key / value extraction.
– Rohit Namjoshi
Dec 2 at 17:24

add a comment |

up vote
4
down vote

AssociationThread[ids, values] // KeySort

Edit
To extract keys and values

sorted = AssociationThread[ids, values] // KeySort

sortedIds = Keys[sorted]

sortedValues = Values[sorted]

edited Dec 2 at 17:24

answered Dec 2 at 16:46

Rohit Namjoshi

7031110

This looks simple, but how do I work with these afterwards?
– user120911
Dec 2 at 17:00

@user120911 Added sorted key / value extraction.
– Rohit Namjoshi
Dec 2 at 17:24

add a comment |

up vote
4
down vote

AssociationThread[ids, values] // KeySort

Edit
To extract keys and values

sorted = AssociationThread[ids, values] // KeySort

sortedIds = Keys[sorted]

sortedValues = Values[sorted]

edited Dec 2 at 17:24

answered Dec 2 at 16:46

Rohit Namjoshi

7031110

AssociationThread[ids, values] // KeySort

Edit
To extract keys and values

sorted = AssociationThread[ids, values] // KeySort

sortedIds = Keys[sorted]

sortedValues = Values[sorted]

edited Dec 2 at 17:24

answered Dec 2 at 16:46

Rohit Namjoshi

7031110

edited Dec 2 at 17:24

answered Dec 2 at 16:46

Rohit Namjoshi

7031110

answered Dec 2 at 16:46

Rohit Namjoshi

7031110

answered Dec 2 at 16:46

Rohit Namjoshi

7031110

This looks simple, but how do I work with these afterwards?
– user120911
Dec 2 at 17:00

@user120911 Added sorted key / value extraction.
– Rohit Namjoshi
Dec 2 at 17:24

add a comment |

This looks simple, but how do I work with these afterwards?
– user120911
Dec 2 at 17:00

@user120911 Added sorted key / value extraction.
– Rohit Namjoshi
Dec 2 at 17:24

This looks simple, but how do I work with these afterwards?
– user120911
Dec 2 at 17:00

@user120911 Added sorted key / value extraction.
– Rohit Namjoshi
Dec 2 at 17:24

add a comment |

up vote
2
down vote

Since Sort sort it by the first entry by default

Sort@Transpose@{ids, values}

{{5, 0.0351563}, {11, 0.131836}, {17, 0.086792}, {24, 0.0637894}, {25,
0.0351563}, {31, 0.065752}, {32, 0.0146484}, {33, 0.0875244}, {37,
0.191388}, {38, 0.0503769}, {39, 0.173784}, {40, 0.063796}}

answered Dec 2 at 18:07

Okkes Dulgerci

3,7131716

1

A problem that arises here with Transpose is is that it unpacks arrays: ids is a list of integers and values is a list of machine reals. So both can be packed separately; but not Transpose@{ids, values} as it has mixed data types. This may become important when processing large datasets.
– Henrik Schumacher
Dec 2 at 18:16

add a comment |

up vote
2
down vote

Since Sort sort it by the first entry by default

Sort@Transpose@{ids, values}

{{5, 0.0351563}, {11, 0.131836}, {17, 0.086792}, {24, 0.0637894}, {25,
0.0351563}, {31, 0.065752}, {32, 0.0146484}, {33, 0.0875244}, {37,
0.191388}, {38, 0.0503769}, {39, 0.173784}, {40, 0.063796}}

answered Dec 2 at 18:07

Okkes Dulgerci

3,7131716

1

A problem that arises here with Transpose is is that it unpacks arrays: ids is a list of integers and values is a list of machine reals. So both can be packed separately; but not Transpose@{ids, values} as it has mixed data types. This may become important when processing large datasets.
– Henrik Schumacher
Dec 2 at 18:16

add a comment |

up vote
2
down vote

Since Sort sort it by the first entry by default

Sort@Transpose@{ids, values}

{{5, 0.0351563}, {11, 0.131836}, {17, 0.086792}, {24, 0.0637894}, {25,
0.0351563}, {31, 0.065752}, {32, 0.0146484}, {33, 0.0875244}, {37,
0.191388}, {38, 0.0503769}, {39, 0.173784}, {40, 0.063796}}

answered Dec 2 at 18:07

Okkes Dulgerci

3,7131716

Since Sort sort it by the first entry by default

Sort@Transpose@{ids, values}

{{5, 0.0351563}, {11, 0.131836}, {17, 0.086792}, {24, 0.0637894}, {25,
0.0351563}, {31, 0.065752}, {32, 0.0146484}, {33, 0.0875244}, {37,
0.191388}, {38, 0.0503769}, {39, 0.173784}, {40, 0.063796}}

answered Dec 2 at 18:07

Okkes Dulgerci

3,7131716

answered Dec 2 at 18:07

Okkes Dulgerci

3,7131716

answered Dec 2 at 18:07

Okkes Dulgerci

3,7131716

answered Dec 2 at 18:07

Okkes Dulgerci

3,7131716

1

A problem that arises here with Transpose is is that it unpacks arrays: ids is a list of integers and values is a list of machine reals. So both can be packed separately; but not Transpose@{ids, values} as it has mixed data types. This may become important when processing large datasets.
– Henrik Schumacher
Dec 2 at 18:16

add a comment |

1

A problem that arises here with Transpose is is that it unpacks arrays: ids is a list of integers and values is a list of machine reals. So both can be packed separately; but not Transpose@{ids, values} as it has mixed data types. This may become important when processing large datasets.
– Henrik Schumacher
Dec 2 at 18:16

A problem that arises here with Transpose is is that it unpacks arrays: ids is a list of integers and values is a list of machine reals. So both can be packed separately; but not Transpose@{ids, values} as it has mixed data types. This may become important when processing large datasets.
– Henrik Schumacher
Dec 2 at 18:16

add a comment |

draft saved

draft discarded

Thanks for contributing an answer to Mathematica Stack Exchange!

Please be sure to answer the question. Provide details and share your research!

But avoid …

Asking for help, clarification, or responding to other answers.

Making statements based on opinion; back them up with references or personal experience.

Use MathJax to format equations. MathJax reference.

To learn more, see our tips on writing great answers.

Some of your past answers have not been well-received, and you're in danger of being blocked from answering.

Please pay close attention to the following guidance:

Please be sure to answer the question. Provide details and share your research!

But avoid …

Asking for help, clarification, or responding to other answers.

Making statements based on opinion; back them up with references or personal experience.

To learn more, see our tips on writing great answers.

draft saved

draft discarded

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Post as a guest

Name

Required, but never shown

Post as a guest

Name

Required, but never shown

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Post as a guest

Name

Required, but never shown

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Post as a guest

Name

Required, but never shown

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Post as a guest

Name

Required, but never shown

Name

Required, but never shown

Name

Required, but never shown

This page is only for reference, If you need detailed information, please check here

搜尋此網誌

Gfrktyl