Last active
January 20, 2016 13:36
-
-
Save razorthink-com/10062b426fc520eec601 to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
(def points [{:x 1, :y 1} {:x -1, :y 1} {:x -1, :y -1} {:x 1, :y -1} {:x 2, :y 2} {:x -1, :y 2} {:x -1, :y -2} {:x 1, :y -2} {:x 1, :y 6} {:x -1, :y 4} {:x -3, :y -1} {:x 1, :y -1} {:x 10, :y 1} {:x -1, :y 11} {:x -1, :y -1} {:x 1, :y -1}]) | |
(defn samePolarity? [a b] (if (or (and (< a 0) (< b 0)) (and (>= a 0) (>= b 0))) true false)) | |
(defn square-magnitude [a b] (+ (* a a) (* b b))) | |
(defn | |
largestVectorInQuadrant | |
[points x y] | |
(->> | |
points | |
(filter (fn [pt] (and (samePolarity? (get pt :x) x) (samePolarity? (get pt :y) y)))) | |
(map (fn [pt] (conj pt [:magnitude (square-magnitude (get pt :x) (get pt :y))]))) | |
(reduce (fn [maxPt pt] (if (> (get maxPt :magnitude) (get pt :magnitude)) maxPt pt))))) | |
(def largestVector (largestVectorInQuadrant points 1 1)) | |
(println largestVector) |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
var points = [{x: 1, y: 1 }, {x: -1, y: 1 }, {x: -1, y: -1 }, {x: 1, y: -1 }, {x: 2, y: 2 }, {x: -1, y: 2 }, {x: -1, y: -2 }, {x: 1, y: -2 }, {x: 1, y: 6 }, {x: -1, y: 4 }, {x: -3, y: -1 }, {x: 1, y: -1 }, {x: 10, y: 1 }, {x: -1, y: 11 }, {x: -1, y: -1 }, {x: 1, y: -1 } ] | |
function getLargestVectorInQuadrant(points, x, y) { | |
function isSamePolarity( a, b ) { | |
if(( a < 0 && b < 0 ) || ( a >=0 && b >=0 )) return true; | |
else return false; | |
} | |
function magnitudeSquared( a, b ) { | |
return ( a*a + b*b ) | |
} | |
var largestVector = points | |
.filter( function ( point ) { | |
return isSamePolarity( point.x, x ) && isSamePolarity( point.y, y ); | |
}) | |
.map( function ( point ) { | |
return { | |
x: point.x, | |
y: point.y, | |
magnitude: magnitudeSquared( point.x, point.y ) | |
} | |
}) | |
.reduce( function ( maxPoint, point ) { | |
return maxPoint.magnitude > point.magnitude ? maxPoint : point | |
}, { magnitude: -Infinity } ); | |
return largestVector; | |
} | |
var quadrant = {x: -1, y: 1}; | |
var largestVector = getLargestVectorInQuadrant (points, quadrant.x, quadrant.y); | |
var resultString = [ | |
'Largest vector in Quadrant : ', | |
'(', quadrant.x, ',' ,quadrant.y, ') is ', | |
'(', largestVector.x, ',', largestVector.y, ')', | |
'with a magnitude of:', Math.sqrt(largestVector.magnitude) | |
].join(' '); | |
console.log( resultString ); |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
ES6+ version: