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167
frontend/src/uxbox/util/geom/point.cljs
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167
frontend/src/uxbox/util/geom/point.cljs
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;; This Source Code Form is subject to the terms of the Mozilla Public
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;; License, v. 2.0. If a copy of the MPL was not distributed with this
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;; file, You can obtain one at http://mozilla.org/MPL/2.0/.
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;;
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;; Copyright (c) 2015-2016 Andrey Antukh <niwi@niwi.nz>
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;; Copyright (c) 2015-2016 Juan de la Cruz <delacruzgarciajuan@gmail.com>
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(ns uxbox.util.geom.point
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(:refer-clojure :exclude [divide])
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(:require [uxbox.util.math :as mth]))
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(defrecord Point [x y])
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(defprotocol ICoerce
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"Point coersion protocol."
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(-point [v] "Return a pont instance."))
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(extend-protocol ICoerce
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nil
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(-point [_]
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(Point. 0 0))
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number
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(-point [v]
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(Point. v v))
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Point
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(-point [v] v)
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cljs.core/PersistentVector
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(-point [v]
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(Point. (first v) (second v)))
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cljs.core/IndexedSeq
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(-point [v]
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(Point. (first v) (second v))))
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(defn ^boolean point?
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"Return true if `v` is Point instance."
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[v]
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(instance? Point v))
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(defn point
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"Create a Point instance."
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([] (Point. 0 0))
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([v] (-point v))
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([x y] (Point. x y)))
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(defn rotate
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"Apply rotation transformation to the point."
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[p angle]
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{:pre [(point? p)]}
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(let [angle (mth/radians angle)
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sin (mth/sin angle)
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cos (mth/cos angle)]
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(Point.
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(-> (- (* (:x p) cos) (* (:y p) sin))
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(mth/precision 6))
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(-> (+ (* (:x p) sin) (* (:y p) cos))
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(mth/precision 6)))))
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(defn add
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"Returns the addition of the supplied value to both
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coordinates of the point as a new point."
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[p other]
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{:pre [(point? p)]}
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(let [other (-point other)]
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(Point. (+ (:x p) (:x other))
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(+ (:y p) (:y other)))))
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(defn subtract
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"Returns the subtraction of the supplied value to both
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coordinates of the point as a new point."
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[p other]
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{:pre [(point? p)]}
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(let [other (-point other)]
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(Point. (- (:x p) (:x other))
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(- (:y p) (:y other)))))
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(defn multiply
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"Returns the subtraction of the supplied value to both
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coordinates of the point as a new point."
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[p other]
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{:pre [(point? p)]}
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(let [other (-point other)]
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(Point. (* (:x p) (:x other))
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(* (:y p) (:y other)))))
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(defn divide
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[p other]
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{:pre [(point? p)]}
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(let [other (-point other)]
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(Point. (/ (:x p) (:x other))
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(/ (:y p) (:y other)))))
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(defn distance
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"Calculate the distance between two points."
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[p other]
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(let [other (-point other)
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dx (- (:x p) (:x other))
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dy (- (:y p) (:y other))]
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(-> (mth/sqrt (+ (mth/pow dx 2)
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(mth/pow dy 2)))
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(mth/precision 6))))
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(defn length
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[p]
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{:pre [(point? p)]}
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(mth/sqrt (+ (mth/pow (:x p) 2)
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(mth/pow (:y p) 2))))
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(defn angle
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"Returns the smaller angle between two vectors.
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If the second vector is not provided, the angle
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will be measured from x-axis."
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([p]
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{:pre [(point? p)]}
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(-> (mth/atan2 (:y p) (:x p))
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(mth/degrees)))
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([p center]
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(let [center (-point center)]
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(angle (subtract p center)))))
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(defn angle-with-other
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"Consider point as vector and calculate
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the angle between two vectors."
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[p other]
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{:pre [(point? p)]}
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(let [other (-point other)
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a (/ (+ (* (:x p) (:x other))
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(* (:y p) (:y other)))
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(* (length p) (length other)))
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a (mth/acos (if (< a -1)
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-1
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(if (> a 1) 1 a)))]
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(-> (mth/degrees a)
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(mth/precision 6))))
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(defn update-angle
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"Update the angle of the point."
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[p angle]
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(let [len (length p)
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angle (mth/radians angle)]
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(Point. (* (mth/cos angle) len)
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(* (mth/sin angle) len))))
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(defn quadrant
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"Return the quadrant of the angle of the point."
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[{:keys [x y] :as p}]
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{:pre [(point? p)]}
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(if (>= x 0)
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(if (>= y 0) 1 4)
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(if (>= y 0) 2 3)))
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(defn round
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"Change the precision of the point coordinates."
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[{:keys [x y]} decimanls]
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(Point. (mth/precision x decimanls)
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(mth/precision y decimanls)))
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(defn transform
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"Transform a point applying a matrix transfomation."
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[{:keys [x y] :as p} {:keys [a b c d tx ty] :as m}]
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(Point. (+ (* x a) (* y c) tx)
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(+ (* x b) (* y d) ty)))
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