Difference between revisions of "Sum Distances To Origin With Functions Assignment"

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(Created page with "thumb =Background= [https://en.wikipedia.org/wiki/Pythagorean_theorem Pythagorean theorem] The distance of a point (x,y) from the origin: <math>dist...")
 
 
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<math>distance = \sqrt {x^2 + y^2}</math>
 
<math>distance = \sqrt {x^2 + y^2}</math>
  
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==Basis Library==
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=Code to Use=
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===Math===
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=={{ListStructure}}==
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[https://smlfamily.github.io/Basis/math.html#SIG:MATH.sqrt:VAL Math.sqrt(x)]
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{{ListNull}}
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{{ListHd}}
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{{ListTl}}
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==[https://smlfamily.github.io/Basis/math.html Math]==
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* [https://smlfamily.github.io/Basis/math.html#SIG:MATH.sqrt:VAL Math.sqrt(x)]
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==Tuple==
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* [https://courses.cs.washington.edu/courses/cse341/19sp/unit1notes.pdf#section*.6 Grossman Notes]
  
 
=Code To Implement=
 
=Code To Implement=
 
==sum_distances_to_origin==
 
==sum_distances_to_origin==
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Fall 2022 Note: if attempted without pattern matching, you may receive an unresolved flex record error:
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{{SMLToImplement|sum_distances_to_origin_fun|sum_distances_to_origin|sum_distances_to_origin_fun}}
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../../../main/sml/warmup_sum_distances_to_origin/sum_distances_to_origin.sml:4.2-21.56 Error: unresolved flex record (need to know the names of ALL the fields
 
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in this context)
 
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  type: {1:real, 2:real; 'Z}
 
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this can be solved by using pattern matching or specifying the type of the parameter xys:
 
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fun sum_distances_to_origin(xys : (real * real) list)
 
  
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{{SMLToImplement|sum_distances_to_origin|sum_distances_to_origin|warmup_sum_distances_to_origin}}
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A list of tuples <code>xys</code> is passed to <code>sum_distances_to_origin</code>.  Evaluate to the sum of the distances from each point (x,y) in the list to the origin.
  
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[https://smlfamily.github.io/Basis/math.html#SIG:MATH.sqrt:VAL Math.sqrt(v)]
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<syntaxhighlight lang="sml">
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fun sum_distances_to_origin(xys : (real * real) list) : real =
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raise Fail "NotYetImplemented"
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</syntaxhighlight>
  
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fun sum_distances_to_origin(xys : (real * real) list)
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For example, if the list is <code>[(3,4), (5,12)]</code> then calling <code>sum_distances_to_origin</code> with that list would evaluate to <code>18</code> (since 5 + 13 is 18).
  
 
=Test=
 
=Test=
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{{SMLUnitTesting|run_sum_distances_to_origin_fun_testing|warmup_sum_distances_to_origin_fun}}
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{{SMLUnitTesting|run_sum_distances_to_origin_fun_testing|sum_distances_to_origin_fun}}

Latest revision as of 19:42, 30 August 2024

Pythagorean.svg

Background

Pythagorean theorem

The distance of a point (x,y) from the origin:

Code to Use

List

  • null is the passed in list empty?
  • hd head element of the passed in list
  • tl tail list of the passed in list

Math

Tuple

Code To Implement

sum_distances_to_origin

file: src/main/sml/sum_distances_to_origin_fun/sum_distances_to_origin_fun.sml Smlnj-logo.png
functions: sum_distances_to_origin

A list of tuples xys is passed to sum_distances_to_origin. Evaluate to the sum of the distances from each point (x,y) in the list to the origin. 

fun sum_distances_to_origin(xys : (real * real) list) : real =
	raise Fail "NotYetImplemented"

For example, if the list is [(3,4), (5,12)] then calling sum_distances_to_origin with that list would evaluate to 18 (since 5 + 13 is 18).

Test

source folder: src/test/sml/sum_distances_to_origin_fun
how to run with CM.make verbosity off: sml -Ccm.verbose=false run_sum_distances_to_origin_fun_testing.sml
how to run with CM.make verbosity on: sml run_sum_distances_to_origin_fun_testing.sml

note: ensure that you have removed all printing to receive credit for any assignment.

SML Error Messages

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