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September 11, 2014 20:24
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This file contains hidden or 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 charactersOriginal file line number Diff line number Diff line change @@ -0,0 +1,44 @@ module Hw.Core where data Vector3 = Vector3 { x :: Float, y :: Float, z :: Float } deriving (Show, Eq) zeroVector3 = Vector3 0.0 0.0 0.0 add :: Vector3 -> Vector3 -> Vector3 add v1 v2 = Vector3 (x v1 + x v2) (y v1 + y v2) (z v1 + z v2) scalarProduct :: Vector3 -> Float -> Vector3 scalarProduct v s = Vector3 (x v * s) (y v * s) (z v * s) dotProduct :: Vector3 -> Vector3 -> Float dotProduct v1 v2 = (x v1 * x v2) + (y v1 * y v2) + (z v1 * z v2) crossProduct :: Vector3 -> Vector3 -> Vector3 crossProduct v1 v2 = Vector3 (y v1 * z v2 - y v2 * z v1) (x v2 * z v1 - x v1 * z v2) (x v1 * y v2 - x v2 * y v1) length :: Vector3 -> Float length v = sqrt (x v ^ 2) + (y v ^ 2) + (z v ^ 2) isParallel :: Vector3 -> Vector3 -> Bool isParallel v1 v2 = crossProduct v1 v2 == zeroVector3 angle :: Vector3 -> Vector3 -> Float angle v1 v2 = acos (dotProduct v1 v2 / (Hw.Core.length v1 * Hw.Core.length v2)) normalize :: Vector3 -> Vector3 normalize v | v == zeroVector3 = Vector3 0.0 0.0 0.0 | otherwise = scalarProduct v (1 / Hw.Core.length v)