Difference between revisions of "Sum Distances To Origin With Functions Assignment"
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<math>distance = \sqrt {x^2 + y^2}</math> | <math>distance = \sqrt {x^2 + y^2}</math> | ||
| − | ==Basis | + | =Code to Use= |
| − | [https://smlfamily.github.io/Basis/math.html#SIG:MATH.sqrt:VAL Math.sqrt(x)] | + | =={{ListStructure}}== |
| + | {{ListNull}} | ||
| + | {{ListHd}} | ||
| + | {{ListTl}} | ||
| + | |||
| + | ==[https://smlfamily.github.io/Basis/math.html Math]== | ||
| + | * [https://smlfamily.github.io/Basis/math.html#SIG:MATH.sqrt:VAL Math.sqrt(x)] | ||
| + | |||
| + | ==Tuple== | ||
| + | * [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== | ||
| − | {{SMLToImplement| | + | {{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. | ||
<syntaxhighlight lang="sml"> | <syntaxhighlight lang="sml"> | ||
| − | fun sum_distances_to_origin(xys : (real * real) list) | + | fun sum_distances_to_origin(xys : (real * real) list) : real = |
| + | raise Fail "NotYetImplemented" | ||
</syntaxhighlight> | </syntaxhighlight> | ||
| + | |||
| + | 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= | ||
{{SMLUnitTesting|run_sum_distances_to_origin_fun_testing|sum_distances_to_origin_fun}} | {{SMLUnitTesting|run_sum_distances_to_origin_fun_testing|sum_distances_to_origin_fun}} | ||
Latest revision as of 19:42, 30 August 2024
Contents
Background
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 |  |
| 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.
