question about exercise D7 in Legrand's book
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question about exercise D7 in Legrand's book
Hello,
first post. Thanks for having me. Noob alert. :)
I'm making my way through Bertrand Legrand's "Mastering Dyalog APL" book, and have a question about exercise D7.
The task is to write a monadic function that puts a frame around a text matrix.
The solution given in the book appears to be wrong. It will not frame the
matrix as given in the text, i.e.,
but instead like this:
There are two problems with this:
1. There isn't a correct amount of minus signs because a single minus sign is prepended and appended, instead of a number of minus signs that corresponds to the number of characters in the longest string in the text matrix.
2. The left and right boundaries are added as extra columns rather than being prepended and appended to the individual text lines.
I'm unsure about how to achieve the intended solution. Concretely,
* How do I get the number of minus signs right? (Need to get the maximum length of the strings in the matrix  how to do that?)
* How do I prepend and append to individual elements in the matrix, rather than prepend and append columns? (Prepend and append columns first, then ravel by row?)
Grateful for any pointer and hint,
Michael
first post. Thanks for having me. Noob alert. :)
I'm making my way through Bertrand Legrand's "Mastering Dyalog APL" book, and have a question about exercise D7.
The task is to write a monadic function that puts a frame around a text matrix.
The solution given in the book appears to be wrong. It will not frame the
matrix as given in the text, i.e.,
 Code: Select all
++
ab 
a 
abc
++
but instead like this:
 Code: Select all
+  +
 ab 
 a 
 abc 
+  +
There are two problems with this:
1. There isn't a correct amount of minus signs because a single minus sign is prepended and appended, instead of a number of minus signs that corresponds to the number of characters in the longest string in the text matrix.
2. The left and right boundaries are added as extra columns rather than being prepended and appended to the individual text lines.
I'm unsure about how to achieve the intended solution. Concretely,
* How do I get the number of minus signs right? (Need to get the maximum length of the strings in the matrix  how to do that?)
* How do I prepend and append to individual elements in the matrix, rather than prepend and append columns? (Prepend and append columns first, then ravel by row?)
Grateful for any pointer and hint,
Michael
 haupz
 Posts: 10
 Joined: Mon Jul 02, 2018 7:28 am
Re: question about exercise D7 in Legrand's book
I assume your text "matrix" is formed something like
Either by applying the "format" (⍕) function to it or by creating is as
I also assume you are using the "above" (⍪) or (,[⎕IO]) function to catenate the hyphens. With a simple array and a "scalar" (the single hyphen), "above" will use "scalar extension" to replicate the hyphen to the correct number. e.g.
3 1⍴'ab' 'a' 'abc'or
⍪'ab' 'a' 'abc'
Either by applying the "format" (⍕) function to it or by creating is as
↑'ab' 'a' 'abc'or
3 3⍴'ab a abc'it will become a "simple" two dimensional array wherein each row is padded with blanks making them all the same length.
I also assume you are using the "above" (⍪) or (,[⎕IO]) function to catenate the hyphens. With a simple array and a "scalar" (the single hyphen), "above" will use "scalar extension" to replicate the hyphen to the correct number. e.g.
''⍪2 5⍴'thesewords'

these
words

Phil Last  Posts: 492
 Joined: Thu Jun 18, 2009 6:29 pm
Re: question about exercise D7 in Legrand's book
Hi Michael!
Thanks for posting your question and welcome to the world of APL!
To follow up on what Phil posted...
There's a difference between a matrix where every element is a simple scalar element and a matrix of vectors. I'll use the Frame function as written in D7 in Mastering Dyalog APL.
Here's the simple matrix output...
And here's the matrix of character vectors output...
There are a few ways to tell the difference...
The shapes are different...
Their depths (the level of nesting) are different...
There's a user command (]boxing) that you can use to better see the structure of arrays.
I hope this helps and keep asking questions!
Cheers,
/Brian
Thanks for posting your question and welcome to the world of APL!
To follow up on what Phil posted...
There's a difference between a matrix where every element is a simple scalar element and a matrix of vectors. I'll use the Frame function as written in D7 in Mastering Dyalog APL.
Here's the simple matrix output...
Frame mat←3 4⍴⎕A
++
ABCD
EFGH
IJKL
++
And here's the matrix of character vectors output...
Frame matofvecs←3 1⍴↓3 4⍴⎕A
+  +
 ABCD 
 EFGH 
 IJKL 
+  +
There are a few ways to tell the difference...
The shapes are different...
⍴mat
3 4
⍴matofvecs
3 1
Their depths (the level of nesting) are different...
≡mat
1
≡matofvecs
2
There's a user command (]boxing) that you can use to better see the structure of arrays.
]boxing on
Was OFF
matofvecs
┌────┐
│ABCD│
├────┤
│EFGH│
├────┤
│IJKL│
└────┘
mat
ABCD
EFGH
IJKL
I hope this helps and keep asking questions!
Cheers,
/Brian

BrianDyalog  Posts: 85
 Joined: Thu Nov 26, 2009 4:02 pm
 Location: West Henrietta, NY
Re: question about exercise D7 in Legrand's book
Hi Brian, Phil,
thank you both for your insightful responses. They made clear to me that the shape of data really matters a lot, and that there is a crucial (if visually subtle) difference between matrices of character vectors, and matrices of character scalars.
With that help, I was able to appreciate the book's default solution. I still felt challenged to provide a solution that would work for my (wrongly assumed) use case of having to frame a 1column matrix of character vectors.
I've documented the somewhat naïve and brutish results here: https://github.com/mhaupt/mastering_dya ... D7.dyalog  and note that I also tried to cover special cases such as Nby1 matrices of character scalars.
For reading convenience, the answer to the final question in exercise D7 is here (the reasoning is in the GitHub repo):
Feel free to tear it apart. I feel a bit uncomfortable about the two first lines in the function that do all the conditional selection. Not sure how idiomatic that is.
Thanks again, this was fun. :)
Best,
Michael
thank you both for your insightful responses. They made clear to me that the shape of data really matters a lot, and that there is a crucial (if visually subtle) difference between matrices of character vectors, and matrices of character scalars.
With that help, I was able to appreciate the book's default solution. I still felt challenged to provide a solution that would work for my (wrongly assumed) use case of having to frame a 1column matrix of character vectors.
I've documented the somewhat naïve and brutish results here: https://github.com/mhaupt/mastering_dya ... D7.dyalog  and note that I also tried to cover special cases such as Nby1 matrices of character scalars.
For reading convenience, the answer to the final question in exercise D7 is here (the reasoning is in the GitHub repo):
 Code: Select all
∇ FramedText ← Frame2 Text;nr;nc
FramedText ← ⊃ (2 ⍴ (↑,Text) Text)[2 ⌊ (⍴Text)[2]]
FramedText ← ⊃ (2 ⍴ (((⍴FramedText),1)⍴FramedText) FramedText)[⍴⍴FramedText]
FramedText ← (⎕UCS 9472),[1]FramedText,[1](⎕UCS 9472)
FramedText ← (⎕UCS 9474),[2]FramedText,[2](⎕UCS 9474)
nr nc ← ⍴FramedText
FramedText[(1 1) (1 nc) (nr 1) (nr nc)] ← ⎕UCS 9484 9488 9492 9496
∇
Feel free to tear it apart. I feel a bit uncomfortable about the two first lines in the function that do all the conditional selection. Not sure how idiomatic that is.
Thanks again, this was fun. :)
Best,
Michael
 haupz
 Posts: 10
 Joined: Mon Jul 02, 2018 7:28 am
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