-
-
Save amithgeorge/15b1cb607c32d39b70c7 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
(defn- squared-edge-values | |
[edges] | |
(->> [:oc :oa :ob :ca :ab :bc] | |
(map #(edges %1)) | |
(map #(* %1 %1)))) | |
(defn- opposite-edge-values | |
[edges] | |
(let [[a2 b2 c2 d2 e2 f2] (squared-edge-values edges)] | |
[[a2 e2 (+ a2 e2)] | |
[b2 f2 (+ b2 f2)] | |
[c2 d2 (+ c2 d2)]])) | |
(defn- closed-edge-values | |
[edges] | |
(let [[a2 b2 c2 d2 e2 f2] (squared-edge-values edges)] | |
[[a2 b2 d2] | |
[d2 e2 f2] | |
[b2 c2 e2] | |
[a2 c2 f2]])) | |
(defn- open-edge-values | |
[edges] | |
;; implement later | |
[[0 0 0]]) | |
(defn- compute-edge-values | |
[edge-fn edges] | |
(->> edges | |
(edge-fn) | |
(map (fn [[x y z]] (* x y z))) | |
(reduce +))) | |
(def ^:private add-opposite (partial compute-edge-values opposite-edge-values)) | |
(def ^:private add-closed (partial compute-edge-values closed-edge-values)) | |
(def ^:private add-open (partial compute-edge-values open-edge-values)) | |
(defn volume | |
[{:keys [oa ob oc ab bc ca] :as edges}] | |
{:pre [(every? #(number? %1) [oa ob oc ab bc ca])]} | |
(let [opposite (add-opposite edges) | |
closed (add-closed edges) | |
open (add-open edges)] | |
(Math/sqrt (* (- (- open closed) opposite) 0.5)))) | |
(defn a-mod-input | |
[] | |
(let [a 1.0] | |
{:oc (* a (/ (Math/sqrt 6.0) 12.0)) | |
:oa (* a (/ (Math/sqrt 6.0) 4.0)) | |
:ob (* a (/ (Math/sqrt 2.0) 4.0)) | |
:ca (* a (/ (Math/sqrt 3.0) 3.0)) | |
:ab (/ a 2.0) | |
:bc (* a (/ (Math/sqrt 3.0) 6.0))})) | |
(defn e-mod-input | |
[] | |
(let [d 1.0 | |
r (/ d 2.0) | |
h r] | |
{:oc h | |
:oa 1 | |
:ob 1 | |
:ca 1 | |
:ab 1 | |
:bc 1})) | |
(def a-mod-volume (volume (a-mod-input))) | |
(def e-mod-volume (volume (e-mod-input))) | |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment