Closest To Origin Assignment

Background

The distance to the origin for a point (x, y) is:

${\sqrt {x^{2}+y^{2}}}$

Is the sqrt required when comparing two points to see which is closest to the origin or can you just determine which point's squared distance is closer?

Basis Library

Option

• NONE
• SOME(v)

Code to Implement

file:	src/main/sml/closest_to_origin/closest_to_origin.sml
functions:	closest_to_origin

closest_to_origin

Write a function

fun closest_to_origin(xys : (real*real) list) : (real*real) option =

which returns closest point to the origin, if it exists.

Test

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

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

SML Error Messages