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

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=Code To Implement=
 
=Code To Implement=
 
==sum_distances_to_origin==
 
==sum_distances_to_origin==
{{SMLToImplement|sum_distances_to_origin|sum_distances_to_origin|sum_distances_to_origin_fun}}
+
{{SMLToImplement|sum_distances_to_origin_fun|sum_distances_to_origin|sum_distances_to_origin_fun}}
  
 
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.
 
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.

Revision as of 16:14, 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)

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