From 6fc2a8dddc0db10935b935bd314d268ea2b6c86f Mon Sep 17 00:00:00 2001 From: MMz <> Date: Wed, 28 Feb 2018 15:26:37 +0100 Subject: [PATCH 1/9] Add empty blog markdown Part of issue #30 --- _posts/2018-02-28-verlet-physics.md | 0 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 _posts/2018-02-28-verlet-physics.md diff --git a/_posts/2018-02-28-verlet-physics.md b/_posts/2018-02-28-verlet-physics.md new file mode 100644 index 0000000..e69de29 From 2592d2f234c45a1d5b7e98fefda9e079b8a399cf Mon Sep 17 00:00:00 2001 From: MMz <> Date: Mon, 5 Mar 2018 02:06:13 +0100 Subject: [PATCH 2/9] Add verlet integration blog (WIP commit) Part of issue #30 --- _posts/2018-02-28-verlet-physics.md | 0 _posts/2018-03-04-verlet-integration.md | 309 ++++++++++++++++++++ img/ehv-noord.jpg | Bin 0 -> 103142 bytes img/verlet-physics/stick-constraints.png | Bin 0 -> 121624 bytes img/verlet-physics/verlet-integration.sdxml | Bin 0 -> 63512 bytes img/verlet-physics/world-constraints.png | Bin 0 -> 54184 bytes 6 files changed, 309 insertions(+) delete mode 100644 _posts/2018-02-28-verlet-physics.md create mode 100644 _posts/2018-03-04-verlet-integration.md create mode 100644 img/ehv-noord.jpg create mode 100644 img/verlet-physics/stick-constraints.png create mode 100644 img/verlet-physics/verlet-integration.sdxml create mode 100644 img/verlet-physics/world-constraints.png diff --git a/_posts/2018-02-28-verlet-physics.md b/_posts/2018-02-28-verlet-physics.md deleted file mode 100644 index e69de29..0000000 diff --git a/_posts/2018-03-04-verlet-integration.md b/_posts/2018-03-04-verlet-integration.md new file mode 100644 index 0000000..b0e95ab --- /dev/null +++ b/_posts/2018-03-04-verlet-integration.md @@ -0,0 +1,309 @@ +--- +layout: post +title: "Verlet Integration" +subtitle: "Physics Simulation in Clojure" +authors: [maarten] +header-img: "img/ehv-noord.jpg" +tags: [clojure] +published: true +enable_klipsejs: 1 +--- + +## Introduction + +In this post we're going to dive into physics simulation with Clojure. The +ideas in this post were mostly inspired by [this paper by Thomas +Jakobsen](http://graphics.cs.cmu.edu/nsp/course/15-869/2006/papers/jakobsen.htm). + +My motivations for working on this toy project were: + +- Experimenting with a very mutable domain in a language with immutability at + its core +- Having some fun by making a lot happen on screen with little code +- Developing with emacs & [cider](https://github.com/clojure-emacs/cider) (The + `C`lojure `I`nteractive `D`evelopment `E`nvironment that `R`ocks) + +The result can be seen in [this short video](add link to youtube). The source +code can be found [here](https://github.com/mmzsource/verlet). + +## One main- to bind them all + +This code uses the [Quil library](https://github.com/quil/quil) to render points +and lines. In the `main-` function, the `sketch` macro from the Quil library is +used to bind the physics domain to the UI. + +```clojure +(defn -main [] + (quil/sketch + :host -main + :title "Verlet Integration" + :size [width height] + :setup setup + :update update-state + :draw draw + :key-pressed key-pressed + :mouse-pressed mouse-pressed + :mouse-dragged mouse-dragged + :mouse-released mouse-released + :features [:exit-on-close] + :middleware [quil-mw/fun-mode])) +``` + +The sketch macro basically asks the developer to configure which 'handler +functions' it should call when certain events occur. For instance: + +- a key is pressed -> call `key-pressed` +- the mouse is pressed -> call `mouse-press` +- the state of your program has to be updated -> call `update-state` +- it's time to draw the new state -> call `draw` +- etc. + +Because I configured Quil to run in functional mode `(quil-mw/fun-mode)`, Quil: + +- Uses the return value from the `:setup` function as the initial state +- Passes the state to each handler function to update the state +- Additionally passes a keyboard- and mouse event argument to keyboard - and + mouse handler functions. + +The handler function signatures therefore look like this: + +```clojure +(defn draw [state] ...) +(defn update-state [state] ...) +(defn key-pressed [state event] ...) +(defn mouse-pressed [state event] ...) +``` + +## Physics Simulation + +As you might have seen in [the video](link to video), this physics simulation +deals with 'points', 'sticks' connecting points and combinations of those. The +points are the things that seem to have direction and speed, are influenced by +gravity and lose speed because of friction or because of bouncing against world +borders. The sticks try to keep their 2 points apart according to the configured +stick length. The simulation loop boils down to: + +- Update points +- Apply stick constraints +- Apply world constraints + +In code: + +```clojure +(defn update-state + [state] + (->> state + (update-points) + (apply-stick-constraints) + (apply-world-constraints))) +``` + +This code can be read like this: 'with `state`, first `update-points`, then +`apply-stick-constraints`, and finally `apply-world-constrains`'. Without using +the thread last macro `->>`, the code would look like this: + +```clojure +(defn update-state [state] + (apply-world-constraints (apply-stick-constraints (update-points state)))) +``` + +I guess it's a matter of taste which one you prefer. + +### Points + +`Points` are the main abstraction in this code. I decided to use a record to name +them: + +```clojure +(defrecord Point [x y oldx oldy pinned]) +``` + +A `Point` stores its current coordinates and the coordinates it had in the +previous world state. On top of that it has a `pinned` property which indicates +if a `Point` is pinned in space and - as a result - stays on the same +coordinate. + +The `update-point` function calculates the velocity of the `Point` and adds some +gravity in the mix: + +```clojure +(defn update-point + [{:keys [x y oldx oldy pinned] :as point}] + (if pinned + point + (let [vx (velocity x oldx) + vy (velocity y oldy)] + (->Point (+ x vx) (+ y vy gravity) x y pinned)))) +``` + +Reading superficially, this code says: if the point is pinned then return the +same point. Otherwise, calculate it's velocity (based on the current and +previous x & y coordinates), add some gravity in the y direction and return the +newly calculated point. + +The function uses +[destructuring](https://gist.github.com/john2x/e1dca953548bfdfb9844) to name all +the arguments of the incoming `Point`. With destructuring, you can bind the +values in a data structure without explicitly querying the data structure. So +instead of getting each and every value out of `point` and binding it to a 'new' +name: + +```clojure +(let [x (:x point) + y (:y point) + oldx (:oldx point) + oldy (:oldy point) + pinned (:pinned point)] + ...) +``` + +you can very effectively tell the function that it will receive a map `{}` with +keys `x y oldx oldy pinned` and that this function should have those variables +available under the same name: + +```clojure +[{:keys [x y oldx oldy pinned] :as point}] +``` + +The code in my repository has some additional type hints, because I wanted the +simulation to run smooth on my laptop and wanted to learn a bit more about type +hinting and compiler optimizations. + +And that's it with regard to `Points`. In a couple of lines of code `Points` are +already moving and reacting to gravity in the simulation. + +### World constraints + +It's time for points to meet the harsh reality of life. Walls are harder than +points and points should bounce off of them: + +```clojure +(defn hit-floor? [y] (> y height)) +(defn hit-ceiling? [y] (< y 0)) +(defn hit-left-wall? [x] (< x 0)) +(defn hit-right-wall? [x] (> x width)) + + +(defn apply-world-constraint + [{:keys [x y oldx oldy pinned] :as point}] + (let [vxb (* (velocity x oldx) bounce) + vyb (* (velocity y oldy) bounce)] + (cond + (hit-floor? y) (let [miry (+ height height (- oldy))] + (->Point (+ oldx vxb) (- miry vyb) oldx miry pinned)) + (hit-ceiling? y) (let [miry (- oldy)] + (->Point (+ oldx vxb) (+ miry (- vyb)) oldx miry pinned)) + (hit-left-wall? x) (let [mirx (- oldx)] + (->Point (+ mirx (- vxb)) (+ oldy vyb) mirx oldy pinned)) + (hit-right-wall? x) (let [mirx (+ width width (- oldx))] + (->Point (- mirx vxb) (+ oldy vyb) mirx oldy pinned)) + ;; else: free movement + :else point))) +``` + +To explain what happens here, a picture might help. + + + apply world constraints diagram + + +Imagine a point moved from A to B in the last point update. This means a point +record is persisted with its `x` and `y` being the coordinates of B and `oldx` +and `oldy` being the coordinates of A. If a wall line crossed the imaginary line +A-B, the point history should be rewritten. In essence, line A-B is mirrored in +the wall it hits, giving rise to another imaginary line C-D where C mirrors A +and D mirrors B. The `miry` (mirror-y) and `mirx` (mirror-x) vars in the code +contain C coordinates mirroring A coordinates. + +The simulation will take a little velocity loss into account. Therefore, D' is +calculated by using the x and y velocities (vx and vy) multiplied by a bounce +factor (leading to the `vxb` and `vyb` variables in the code). + +When the world state is drawn, the point will fly off in exactly the right +direction. Additionally, because of the history rewrite, subsequent `Point` +updates will keep moving the point in the right direction. + +The picture shows the situation when hitting the ceiling. Hitting the floor and +the walls works similar. And that's all the math and code you need to simulate +`Points` moving in a bounded space. Now let's add sticks to the simulation. + +### Stick constraints + +Not only walls are restricting `Points` from free movement; sticks also +constrain them. A stick connects 2 points and has a configured length. The +goal of the stick constraint is to move the points at the end of the stick +closer to the configured length of the stick. + + + apply stick constraints diagram + + +So instead of trying to calculate the solution that satisfies all constraints at +once, this code simply looks at one stick at a time and 'solves' the constraint +problem by repeatedly solving stick constraints in isolation. + +```clojure +(defn apply-stick-constraint + [{length :length :as stick} + {p0x :x p0y :y oldp0x :oldx oldp0y :oldy pinp0 :pinned :as p0} + {p1x :x p1y :y oldp1x :oldx oldp1y :oldy pinp1 :pinned :as p1}] + (let [{:keys [dx dy distance]} (distance-map p0 p1) + difference (- length distance) + percentage (/ (/ difference distance) 2) + offsetX (* dx percentage) + offsetY (* dy percentage) + p0-new (->Point (- p0x offsetX) (- p0y offsetY) oldp0x oldp0y pinp0) + p1-new (->Point (+ p1x offsetX) (+ p1y offsetY) oldp1x oldp1y pinp1)] + [(if pinp0 p0 p0-new) (if pinp1 p1 p1-new)])) +``` + +The stick-constraint function takes 3 arguments which are heavily destructured: +a stick, and 2 points (p0 and p1). First it calculates the distance between the +points. Next it calculates the difference between the stick length and the point +distance. + + + +## Conclusion + +As always, it was a pleasure working with Clojure. It turns out to be easy to +work in a very mutable domain with mostly pure functions. + +I'm glad I decided to 'bite the bullet' and learn Emacs and cider. Apart from +writing this blog in Emacs, I now do all my clojure experiments in Emacs, not to +mention most of my writing and (project)planning. + +I'd like to thank Michiel Borkent a.k.a. +[@borkdude](https://twitter.com/borkdude) for reviewing an earlier version of +the verlet code and giving me very helpful feedback. Faults and not-so-idiomatic +Clojure code remaining are my own. + +Please share your comments, suggestions and thoughts about this blog post on +[twitter.com/mmz_](https://twitter.com/mmz_). Thanks for reading and Happy +Coding! + +## Links + +- [Verlet integration + paper](http://graphics.cs.cmu.edu/nsp/course/15-869/2006/papers/jakobsen.htm) +- [My verlet integration code in clojure](https://github.com/mmzsource/verlet) +- [Quil library](https://github.com/quil/quil) +- [Cider plugin](https://github.com/clojure-emacs/cider) +- [Klipse plugin](https://github.com/viebel/klipse) + +## Sketch + +You can try the difference yourself by changing this code: + +
+  
+(->> (range)
+     (filter even?)
+	 (take 10))
+  
+
+ +to this code `(take 10 (filter odd? 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zxaN`B>+C)54AL$~CeoIB++N^wTvM^s9d=4*&S$T$#*-J$mMh0yKDWw_n@5iAyk4r$QvY0z<^kS0-8DL~pNi+C*Mq~SO6c6h0a zF{t>e3%)cf7jY8df#`#WoiUg^>On^$^T3?n<;nFW4{;KS1OA0P(u|%}AHW0ApGe*C z7=x$lMxLCHJ@X~+KkkqIMzn6<^Wgb>W8dkk+<)xJqYrNRt&-~QB_a7eZbWE<{ngo> z(_O1jo*XM3%$t00Ce&{eJbqsLe)SYjzDiTIZmT#a>!-%?cSNfkr~WJROm%u6th83^ zKFtxI+`IL_@8YgB?B?m>@7nLkQ`J`Wb+<;HeWxbxgGvW6CLf#$KYbqj0+0MeJ4_8v Q>Hq)$07*qoM6N<$f_BgO@Bjb+ literal 0 HcmV?d00001 From 2875554c7a1f3cbc2be924f0fea702f55256f341 Mon Sep 17 00:00:00 2001 From: MMz Date: Mon, 5 Mar 2018 14:31:34 +0100 Subject: [PATCH 3/9] Deliver verlet blog version 0.8 Part of issue #30 --- _posts/2018-03-04-verlet-integration.md | 172 +++++++++++++------- img/verlet-physics/stick-math.png | Bin 0 -> 105565 bytes img/verlet-physics/verlet-integration.sdxml | Bin 63512 -> 106227 bytes 3 files changed, 112 insertions(+), 60 deletions(-) create mode 100644 img/verlet-physics/stick-math.png diff --git a/_posts/2018-03-04-verlet-integration.md b/_posts/2018-03-04-verlet-integration.md index b0e95ab..c012dd5 100644 --- a/_posts/2018-03-04-verlet-integration.md +++ b/_posts/2018-03-04-verlet-integration.md @@ -19,14 +19,14 @@ My motivations for working on this toy project were: - Experimenting with a very mutable domain in a language with immutability at its core -- Having some fun by making a lot happen on screen with little code +- Having some fun by making a lot happen on screen without writing lots of code - Developing with emacs & [cider](https://github.com/clojure-emacs/cider) (The `C`lojure `I`nteractive `D`evelopment `E`nvironment that `R`ocks) The result can be seen in [this short video](add link to youtube). The source code can be found [here](https://github.com/mmzsource/verlet). -## One main- to bind them all +## One `main-` to bind them all This code uses the [Quil library](https://github.com/quil/quil) to render points and lines. In the `main-` function, the `sketch` macro from the Quil library is @@ -60,9 +60,9 @@ functions' it should call when certain events occur. For instance: Because I configured Quil to run in functional mode `(quil-mw/fun-mode)`, Quil: -- Uses the return value from the `:setup` function as the initial state -- Passes the state to each handler function to update the state -- Additionally passes a keyboard- and mouse event argument to keyboard - and +- Uses the return value from the `:setup` function as the initial `state` +- Passes the `state` to each handler function to update it +- Additionally passes a keyboard- and mouse `event` argument to keyboard - and mouse handler functions. The handler function signatures therefore look like this: @@ -74,10 +74,47 @@ The handler function signatures therefore look like this: (defn mouse-pressed [state event] ...) ``` +## World state + +What does a snapshot of this world state look like? `key-pressed` gives some +hints: + +```clojure +(defn key-pressed + [state event] + (let [raw-key (:raw-key event) + new-state (cond + (= \b raw-key) (load-world (load-a-file "blocks.edn")) + (= \c raw-key) (load-world (load-a-file "cloth.edn")) + (= \p raw-key) (load-world (load-a-file "points.edn")) + (= \s raw-key) (load-world (load-a-file "sticks.edn")) + (= \i raw-key) (show-info-message) + (= \q raw-key) (quil/exit) + :else state)] + new-state)) +``` + +So on pressing a key, a certain world is loaded. Let's look into the 'sticks' +world: + +```clojure +{:points {:p0 {:x 10 :y 1 :oldx 0 :oldy 0} + :p1 {:x 100 :y 100 :oldx 100 :oldy 100} + :p2 {:x 0 :y 500 :oldx 0 :oldy 525} + :p3 {:x 25 :y 475 :oldx 0 :oldy 525} + :p4 {:x 250 :y 200 :oldx 250 :oldy 200 :pinned true} + :p5 {:x 350 :y 100 :oldx 350 :oldy 100}} + :sticks [{:links [:p0 :p1] :length 138} + {:links [:p2 :p3] :length 40} + {:links [:p4 :p5] :length 140}]} +``` + +Nothing special here. Just a map containing `:points` and `:sticks`. We'll dive +into the particulars of points and sticks soon. + ## Physics Simulation -As you might have seen in [the video](link to video), this physics simulation -deals with 'points', 'sticks' connecting points and combinations of those. The +This physics simulation deals with 'points', and 'sticks' connecting points. The points are the things that seem to have direction and speed, are influenced by gravity and lose speed because of friction or because of bouncing against world borders. The sticks try to keep their 2 points apart according to the configured @@ -99,31 +136,23 @@ In code: ``` This code can be read like this: 'with `state`, first `update-points`, then -`apply-stick-constraints`, and finally `apply-world-constrains`'. Without using -the thread last macro `->>`, the code would look like this: - -```clojure -(defn update-state [state] - (apply-world-constraints (apply-stick-constraints (update-points state)))) -``` - -I guess it's a matter of taste which one you prefer. +`apply-stick-constraints`, and finally `apply-world-constrains`'. ### Points -`Points` are the main abstraction in this code. I decided to use a record to name +Points are the main abstraction in this code. I decided to use a record to name them: ```clojure (defrecord Point [x y oldx oldy pinned]) ``` -A `Point` stores its current coordinates and the coordinates it had in the +A Point stores its current coordinates and the coordinates it had in the previous world state. On top of that it has a `pinned` property which indicates -if a `Point` is pinned in space and - as a result - stays on the same -coordinate. +if a Point is pinned in space and - as a result - stays on the same coordinate. +A pinned point can be unpinned by clicking it with the mouse pointer. -The `update-point` function calculates the velocity of the `Point` and adds some +The `update-point` function calculates the velocity of the point and adds some gravity in the mix: ```clojure @@ -143,9 +172,9 @@ newly calculated point. The function uses [destructuring](https://gist.github.com/john2x/e1dca953548bfdfb9844) to name all -the arguments of the incoming `Point`. With destructuring, you can bind the +the arguments of the incoming Point. With destructuring, you can bind the values in a data structure without explicitly querying the data structure. So -instead of getting each and every value out of `point` and binding it to a 'new' +instead of getting each and every value out of point and binding it to a 'new' name: ```clojure @@ -169,7 +198,7 @@ The code in my repository has some additional type hints, because I wanted the simulation to run smooth on my laptop and wanted to learn a bit more about type hinting and compiler optimizations. -And that's it with regard to `Points`. In a couple of lines of code `Points` are +And that's it with regard to Points. In a couple of lines of code Points are already moving and reacting to gravity in the simulation. ### World constraints @@ -189,10 +218,10 @@ points and points should bounce off of them: (let [vxb (* (velocity x oldx) bounce) vyb (* (velocity y oldy) bounce)] (cond - (hit-floor? y) (let [miry (+ height height (- oldy))] - (->Point (+ oldx vxb) (- miry vyb) oldx miry pinned)) (hit-ceiling? y) (let [miry (- oldy)] (->Point (+ oldx vxb) (+ miry (- vyb)) oldx miry pinned)) + (hit-floor? y) (let [miry (+ height height (- oldy))] + (->Point (+ oldx vxb) (- miry vyb) oldx miry pinned)) (hit-left-wall? x) (let [mirx (- oldx)] (->Point (+ mirx (- vxb)) (+ oldy vyb) mirx oldy pinned)) (hit-right-wall? x) (let [mirx (+ width width (- oldx))] @@ -226,23 +255,23 @@ updates will keep moving the point in the right direction. The picture shows the situation when hitting the ceiling. Hitting the floor and the walls works similar. And that's all the math and code you need to simulate -`Points` moving in a bounded space. Now let's add sticks to the simulation. +Points moving in a bounded space. Now let's add sticks to the simulation. ### Stick constraints Not only walls are restricting `Points` from free movement; sticks also -constrain them. A stick connects 2 points and has a configured length. The -goal of the stick constraint is to move the points at the end of the stick -closer to the configured length of the stick. +constrain them. A stick connects 2 points and has a configured length. The goal +of the stick constraint is to move the points at the end of the stick to the +configured length of the stick. apply stick constraints diagram -So instead of trying to calculate the solution that satisfies all constraints at -once, this code simply looks at one stick at a time and 'solves' the constraint -problem by repeatedly solving stick constraints in isolation. +Instead of trying to calculate the solution that satisfies all stick constraints +at once, this code simply looks at one stick at a time and 'solves' the +constraint problem by repeatedly solving stick constraints in isolation. ```clojure (defn apply-stick-constraint @@ -251,33 +280,72 @@ problem by repeatedly solving stick constraints in isolation. {p1x :x p1y :y oldp1x :oldx oldp1y :oldy pinp1 :pinned :as p1}] (let [{:keys [dx dy distance]} (distance-map p0 p1) difference (- length distance) - percentage (/ (/ difference distance) 2) - offsetX (* dx percentage) - offsetY (* dy percentage) + fraction (/ (/ difference distance) 2) + offsetX (* dx fraction) + offsetY (* dy fraction) p0-new (->Point (- p0x offsetX) (- p0y offsetY) oldp0x oldp0y pinp0) p1-new (->Point (+ p1x offsetX) (+ p1y offsetY) oldp1x oldp1y pinp1)] [(if pinp0 p0 p0-new) (if pinp1 p1 p1-new)])) ``` -The stick-constraint function takes 3 arguments which are heavily destructured: -a stick, and 2 points (p0 and p1). First it calculates the distance between the -points. Next it calculates the difference between the stick length and the point -distance. +`apply-stick-constraint` takes a stick and 2 points (P0 and P1) as arguments. +These arguments are heavily destructured. To understand what happens precisely, +the next picture might be helpful: - + + stick math diagram + + +Let P0 and P1 be two points with a stick S between them. P0 and P1 have already +been updated by the `update-point` function and their new (x,y) coordinates are +(40,50) and (70,90) respectively. This means their: + +- dx = 30 +- dy = 40 +- distance = 50 (calculated by applying the famous Pythagoras formula) + +Since the stick between P0 and P1 was configured to have a length of 150, and we +want P0 and P1 to be adjusted by the same amount, P0 _should_ be located at +point S0 (10,10) and P1 _should_ be located at point S1 (100,130). This is +exactly what `apply-stick-constraint` achieves: + +- The `difference` in the configured length of the stick and the distance of P0 + and P1 is 100 +- The fraction of the distance between P0 and P1 that needs to be added to P0 + AND to P1 is 1. So by extending the distance P0 and P1 with exactly 50 in both + directions, we'll solve the stick constraint. +- This is done by using `offsetX` on P0x and P1x and using `offsetY` on P0y and + P1y +- Conceptually a scaled triangle is added to extend P0 and another scaled + triangle is added to extend P1. The scale of this triangle is determined by + the `fraction` which in this case is 1. The added triangles are depicted in + red. + +Each stick in the world is updated before a new world is drawn. It is very well +possible that the neatly placed P0 and P1 are moved to different coordinates by +another stick constraint before the complete update is over. This sometimes +results in 'wiggly' behavior, although in most cases, the simulation is +perceived to behave 'naturally'. ## Conclusion As always, it was a pleasure working with Clojure. It turns out to be easy to work in a very mutable domain with mostly pure functions. +My current version of [Cloc](https://github.com/AlDanial/cloc) tells me that +core.clj is 230 lines long. It counts the function doc as code. Since normally +the function documentation count as 'comment' and not as code, I ran a new +`cloc` command without the doc strings. It then counts 159 lines of clojure, +approximately half of which are dedicated to UI interaction. Not bad at all! + I'm glad I decided to 'bite the bullet' and learn Emacs and cider. Apart from writing this blog in Emacs, I now do all my clojure experiments in Emacs, not to -mention most of my writing and (project)planning. +mention most of my writing and (project)planning. :) I'd like to thank Michiel Borkent a.k.a. [@borkdude](https://twitter.com/borkdude) for reviewing an earlier version of -the verlet code and giving me very helpful feedback. Faults and not-so-idiomatic +the code and giving me very helpful feedback. Faults and not-so-idiomatic Clojure code remaining are my own. Please share your comments, suggestions and thoughts about this blog post on @@ -290,20 +358,4 @@ Coding! paper](http://graphics.cs.cmu.edu/nsp/course/15-869/2006/papers/jakobsen.htm) - [My verlet integration code in clojure](https://github.com/mmzsource/verlet) - [Quil library](https://github.com/quil/quil) -- [Cider plugin](https://github.com/clojure-emacs/cider) -- [Klipse plugin](https://github.com/viebel/klipse) - -## Sketch - -You can try the difference yourself by changing this code: - -

-  
-(->> (range)
-     (filter even?)
-	 (take 10))
-  
-
- -to this code `(take 10 (filter odd? 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deletions(-) diff --git a/_posts/2018-03-04-verlet-integration.md b/_posts/2018-03-04-verlet-integration.md index c012dd5..4fc2006 100644 --- a/_posts/2018-03-04-verlet-integration.md +++ b/_posts/2018-03-04-verlet-integration.md @@ -20,11 +20,14 @@ My motivations for working on this toy project were: - Experimenting with a very mutable domain in a language with immutability at its core - Having some fun by making a lot happen on screen without writing lots of code -- Developing with emacs & [cider](https://github.com/clojure-emacs/cider) (The +- Coding using emacs & [cider](https://github.com/clojure-emacs/cider) (The `C`lojure `I`nteractive `D`evelopment `E`nvironment that `R`ocks) -The result can be seen in [this short video](add link to youtube). The source -code can be found [here](https://github.com/mmzsource/verlet). +The source code can be found [here](https://github.com/mmzsource/verlet). +The result: + + + ## One `main-` to bind them all @@ -114,14 +117,14 @@ into the particulars of points and sticks soon. ## Physics Simulation -This physics simulation deals with 'points', and 'sticks' connecting points. The -points are the things that seem to have direction and speed, are influenced by +This physics simulation deals with Points, and Sticks connecting Points. The +Points are the things that seem to have direction and speed, are influenced by gravity and lose speed because of friction or because of bouncing against world -borders. The sticks try to keep their 2 points apart according to the configured -stick length. The simulation loop boils down to: +borders. The Sticks try to keep their 2 Points apart according to the configured +Stick length. The simulation loop boils down to: -- Update points -- Apply stick constraints +- Update Points +- Apply Stick constraints - Apply world constraints In code: @@ -150,9 +153,9 @@ them: A Point stores its current coordinates and the coordinates it had in the previous world state. On top of that it has a `pinned` property which indicates if a Point is pinned in space and - as a result - stays on the same coordinate. -A pinned point can be unpinned by clicking it with the mouse pointer. +A pinned Point can be unpinned by clicking it with the mouse pointer. -The `update-point` function calculates the velocity of the point and adds some +The `update-point` function calculates the velocity of the Point and adds some gravity in the mix: ```clojure @@ -165,17 +168,17 @@ gravity in the mix: (->Point (+ x vx) (+ y vy gravity) x y pinned)))) ``` -Reading superficially, this code says: if the point is pinned then return the -same point. Otherwise, calculate it's velocity (based on the current and +Reading superficially, this code says: if the Point is pinned then return the +same Point. Otherwise, calculate it's velocity (based on the current and previous x & y coordinates), add some gravity in the y direction and return the -newly calculated point. +newly calculated Point. The function uses [destructuring](https://gist.github.com/john2x/e1dca953548bfdfb9844) to name all the arguments of the incoming Point. With destructuring, you can bind the values in a data structure without explicitly querying the data structure. So -instead of getting each and every value out of point and binding it to a 'new' -name: +instead of getting each and every value out of Point and binding it to a 'new' +name... ```clojure (let [x (:x point) @@ -186,9 +189,9 @@ name: ...) ``` -you can very effectively tell the function that it will receive a map `{}` with -keys `x y oldx oldy pinned` and that this function should have those variables -available under the same name: +... you can very effectively tell the function that it will receive a map `{}` +with keys `x y oldx oldy pinned` and that this function should have those +variables available under the same name: ```clojure [{:keys [x y oldx oldy pinned] :as point}] @@ -203,8 +206,8 @@ already moving and reacting to gravity in the simulation. ### World constraints -It's time for points to meet the harsh reality of life. Walls are harder than -points and points should bounce off of them: +It's time for Points to meet the harsh reality of life. Walls are harder than +Points and therefore should bounce off of them: ```clojure (defn hit-floor? [y] (> y height)) @@ -237,41 +240,42 @@ To explain what happens here, a picture might help. alt="apply world constraints diagram"> -Imagine a point moved from A to B in the last point update. This means a point +Imagine a Point moved from A to B in the last Point update. This means a Point record is persisted with its `x` and `y` being the coordinates of B and `oldx` and `oldy` being the coordinates of A. If a wall line crossed the imaginary line -A-B, the point history should be rewritten. In essence, line A-B is mirrored in +A-B, the Point history should be rewritten. In essence, line A-B is mirrored in the wall it hits, giving rise to another imaginary line C-D where C mirrors A -and D mirrors B. The `miry` (mirror-y) and `mirx` (mirror-x) vars in the code -contain C coordinates mirroring A coordinates. +and D mirrors B. The `miry` (mirror-y) and `mirx` (mirror-x) variables in the +code contain C coordinates mirroring A coordinates. -The simulation will take a little velocity loss into account. Therefore, D' is -calculated by using the x and y velocities (vx and vy) multiplied by a bounce -factor (leading to the `vxb` and `vyb` variables in the code). +The simulation will take a little velocity loss into account when bouncing at +walls. Therefore, D' is calculated by using the x and y velocities (vx and vy) +multiplied by a bounce factor (leading to the `vxb` and `vyb` variables in the +code). -When the world state is drawn, the point will fly off in exactly the right -direction. Additionally, because of the history rewrite, subsequent `Point` -updates will keep moving the point in the right direction. +When the world state is drawn, the Point will fly off in exactly the right +direction. Additionally, because of the history rewrite, subsequent Point +updates will keep moving the Point in the right direction. The picture shows the situation when hitting the ceiling. Hitting the floor and the walls works similar. And that's all the math and code you need to simulate -Points moving in a bounded space. Now let's add sticks to the simulation. +Points moving in a bounded space. Now let's add Sticks to the simulation. ### Stick constraints -Not only walls are restricting `Points` from free movement; sticks also -constrain them. A stick connects 2 points and has a configured length. The goal -of the stick constraint is to move the points at the end of the stick to the -configured length of the stick. +Not only walls are restricting Points from free movement; Sticks also constrain +them. A Stick connects 2 Points and has a configured length. The goal of the +Stick constraint is to move the Points at the end of the Stick to the configured +length of the Stick. apply stick constraints diagram -Instead of trying to calculate the solution that satisfies all stick constraints -at once, this code simply looks at one stick at a time and 'solves' the -constraint problem by repeatedly solving stick constraints in isolation. +Instead of trying to calculate the solution that satisfies all Stick constraints +at once, this code simply looks at one Stick at a time and 'solves' the +constraint problem by repeatedly solving Stick constraints in isolation. ```clojure (defn apply-stick-constraint @@ -288,7 +292,7 @@ constraint problem by repeatedly solving stick constraints in isolation. [(if pinp0 p0 p0-new) (if pinp1 p1 p1-new)])) ``` -`apply-stick-constraint` takes a stick and 2 points (P0 and P1) as arguments. +`apply-stick-constraint` takes a Stick and 2 Points (P0 and P1) as arguments. These arguments are heavily destructured. To understand what happens precisely, the next picture might be helpful: @@ -297,51 +301,78 @@ the next picture might be helpful: alt="stick math diagram"> -Let P0 and P1 be two points with a stick S between them. P0 and P1 have already +Let P0 and P1 be two Points with a Stick S between them. P0 and P1 have already been updated by the `update-point` function and their new (x,y) coordinates are -(40,50) and (70,90) respectively. This means their: +(40,50) and (70,90) respectively. This means: - dx = 30 - dy = 40 -- distance = 50 (calculated by applying the famous Pythagoras formula) +- distance = 50 -Since the stick between P0 and P1 was configured to have a length of 150, and we -want P0 and P1 to be adjusted by the same amount, P0 _should_ be located at -point S0 (10,10) and P1 _should_ be located at point S1 (100,130). This is +Since the Stick between P0 and P1 was configured to have a `length` of 150, and +we want P0 and P1 to be adjusted by the same amount, P0 _should_ be located at +Point S0 (10,10) and P1 _should_ be located at Point S1 (100,130). This is exactly what `apply-stick-constraint` achieves: -- The `difference` in the configured length of the stick and the distance of P0 +- The `difference` in the configured `length` of the Stick and the `distance` of P0 and P1 is 100 -- The fraction of the distance between P0 and P1 that needs to be added to P0 - AND to P1 is 1. So by extending the distance P0 and P1 with exactly 50 in both - directions, we'll solve the stick constraint. +- The `fraction` of the `distance` between P0 and P1 that needs to be added to + P0 AND to P1 is 1. So by extending the `distance` P0 and P1 with exactly 50 + (`distance` times `fraction`) in both directions, we'll solve the Stick + constraint. - This is done by using `offsetX` on P0x and P1x and using `offsetY` on P0y and P1y -- Conceptually a scaled triangle is added to extend P0 and another scaled - triangle is added to extend P1. The scale of this triangle is determined by - the `fraction` which in this case is 1. The added triangles are depicted in - red. -Each stick in the world is updated before a new world is drawn. It is very well -possible that the neatly placed P0 and P1 are moved to different coordinates by -another stick constraint before the complete update is over. This sometimes -results in 'wiggly' behavior, although in most cases, the simulation is -perceived to behave 'naturally'. +Conceptually a scaled triangle is added to move P0 and a similar scaled triangle +is added to move P1. The scale of this triangle is determined by the `fraction` +which in this case is 1. These triangles are depicted in red. + +Each Stick in the world is updated before a new world frame is drawn. It is very +well possible that the neatly placed P0 and P1 are moved to different +coordinates by another Stick constraint before the complete update is over. This +sometimes results in wiggly behavior, although in most cases, the simulation +is perceived to behave naturally. + +## Drawing + +Finally, the Points and Sticks have to be drawn on screen: + +```clojure +(defn draw + [state] + (quil/background 255) + (if (:info-message state) + (quil/text info-message 20 20) + (do + (doseq [point (vals (:points state))] + (quil/ellipse (:x point) (:y point) 7 7)) + (doseq [stick (:sticks state)] + (let [points (:points state) + p0 ((first (:links stick)) points) + p1 ((last (:links stick)) points)] + (quil/line (:x p0) (:y p0) (:x p1) (:y p1))))))) +``` + +Start by clearing the screen. If there is an `:info-message` entry in the +`state`, draw the `info-message`. Otherwise draw all Points in `state` as a +quil/ellipse and draw all Sticks as a quil/line. And that's all folks! ## Conclusion As always, it was a pleasure working with Clojure. It turns out to be easy to -work in a very mutable domain with mostly pure functions. +work in a very mutable domain with mostly pure functions, also thanks to the +excellent Quil library. -My current version of [Cloc](https://github.com/AlDanial/cloc) tells me that -core.clj is 230 lines long. It counts the function doc as code. Since normally -the function documentation count as 'comment' and not as code, I ran a new -`cloc` command without the doc strings. It then counts 159 lines of clojure, -approximately half of which are dedicated to UI interaction. Not bad at all! +My current version of [cloc](https://github.com/AlDanial/cloc) tells me that +core.clj is 230 lines long. It counts the function documentation as code. +Normally the function documentation is counted as 'comment' and not as code. +Therefore, I ran a new `cloc` command without the doc strings. It then counts +159 lines of clojure, approximately half of which are dedicated to UI +interaction and the other half to physics simulation. Not bad at all! -I'm glad I decided to 'bite the bullet' and learn Emacs and cider. Apart from -writing this blog in Emacs, I now do all my clojure experiments in Emacs, not to -mention most of my writing and (project)planning. :) +I'm glad I decided to 'bite the bullet' and learn Emacs and Cider. I now code +all my Clojure experiments in Emacs. Better still: I use Emacs for most of my +writing and planning these days. I'd like to thank Michiel Borkent a.k.a. [@borkdude](https://twitter.com/borkdude) for reviewing an earlier version of @@ -359,3 +390,4 @@ Coding! - [My verlet integration code in clojure](https://github.com/mmzsource/verlet) - [Quil library](https://github.com/quil/quil) - [Emacs Cider plugin](https://github.com/clojure-emacs/cider) +- [Cloc - counting lines of code](https://github.com/AlDanial/cloc) From 1b995b24eeaa90a2bb66a6e1764ed7b6cc12926c Mon Sep 17 00:00:00 2001 From: MMz Date: Mon, 5 Mar 2018 18:01:21 +0100 Subject: [PATCH 5/9] Add tag and remove klipse. Part of issue #30 --- _posts/2018-03-04-verlet-integration.md | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/_posts/2018-03-04-verlet-integration.md b/_posts/2018-03-04-verlet-integration.md index 4fc2006..af55ddc 100644 --- a/_posts/2018-03-04-verlet-integration.md +++ b/_posts/2018-03-04-verlet-integration.md @@ -4,9 +4,8 @@ title: "Verlet Integration" subtitle: "Physics Simulation in Clojure" authors: [maarten] header-img: "img/ehv-noord.jpg" -tags: [clojure] +tags: [clojure, functional] published: true -enable_klipsejs: 1 --- ## Introduction From adacf0c5fa6e76ab370c27dcd83dd9aefb95e7de Mon Sep 17 00:00:00 2001 From: MMz Date: Tue, 6 Mar 2018 06:14:44 +0100 Subject: [PATCH 6/9] make small improvements --- _posts/2018-03-04-verlet-integration.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/_posts/2018-03-04-verlet-integration.md b/_posts/2018-03-04-verlet-integration.md index af55ddc..f78ce41 100644 --- a/_posts/2018-03-04-verlet-integration.md +++ b/_posts/2018-03-04-verlet-integration.md @@ -206,7 +206,7 @@ already moving and reacting to gravity in the simulation. ### World constraints It's time for Points to meet the harsh reality of life. Walls are harder than -Points and therefore should bounce off of them: +Points and therefore Points should bounce off of them: ```clojure (defn hit-floor? [y] (> y height)) @@ -322,9 +322,9 @@ exactly what `apply-stick-constraint` achieves: - This is done by using `offsetX` on P0x and P1x and using `offsetY` on P0y and P1y -Conceptually a scaled triangle is added to move P0 and a similar scaled triangle -is added to move P1. The scale of this triangle is determined by the `fraction` -which in this case is 1. These triangles are depicted in red. +Conceptually a scaled helper triangle is used to move P0 and an identical scaled +helper triangle is used to move P1. The scale of this triangle is determined by +the `fraction` which in this case is 1. These triangles are depicted in red. Each Stick in the world is updated before a new world frame is drawn. It is very well possible that the neatly placed P0 and P1 are moved to different From 92abdb07ca2ad1151f65f3eda7a78c900e2c7a8f Mon Sep 17 00:00:00 2001 From: MMz Date: Tue, 6 Mar 2018 06:25:31 +0100 Subject: [PATCH 7/9] make a small improvement --- _posts/2018-03-04-verlet-integration.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/_posts/2018-03-04-verlet-integration.md b/_posts/2018-03-04-verlet-integration.md index f78ce41..4f3077e 100644 --- a/_posts/2018-03-04-verlet-integration.md +++ b/_posts/2018-03-04-verlet-integration.md @@ -369,9 +369,9 @@ Therefore, I ran a new `cloc` command without the doc strings. It then counts 159 lines of clojure, approximately half of which are dedicated to UI interaction and the other half to physics simulation. Not bad at all! -I'm glad I decided to 'bite the bullet' and learn Emacs and Cider. I now code -all my Clojure experiments in Emacs. Better still: I use Emacs for most of my -writing and planning these days. +I'm glad I decided to 'bite the bullet' and learn Emacs and Cider. I now use +Emacs for all my Clojure(script) development. In addition, I use Emacs for most +of my text editing these days including writing and planning. I'd like to thank Michiel Borkent a.k.a. [@borkdude](https://twitter.com/borkdude) for reviewing an earlier version of From 352299a6f05d46dbd448a41076e653f8b48d4ab1 Mon Sep 17 00:00:00 2001 From: MMz Date: Wed, 7 Mar 2018 11:07:13 +0100 Subject: [PATCH 8/9] Make final (?) small adjustments Part of issue #30 --- _posts/2018-03-04-verlet-integration.md | 11 +++++------ 1 file changed, 5 insertions(+), 6 deletions(-) diff --git a/_posts/2018-03-04-verlet-integration.md b/_posts/2018-03-04-verlet-integration.md index 4f3077e..7e0eebb 100644 --- a/_posts/2018-03-04-verlet-integration.md +++ b/_posts/2018-03-04-verlet-integration.md @@ -19,7 +19,7 @@ My motivations for working on this toy project were: - Experimenting with a very mutable domain in a language with immutability at its core - Having some fun by making a lot happen on screen without writing lots of code -- Coding using emacs & [cider](https://github.com/clojure-emacs/cider) (The +- Coding using emacs & [CIDER](https://github.com/clojure-emacs/cider) (The `C`lojure `I`nteractive `D`evelopment `E`nvironment that `R`ocks) The source code can be found [here](https://github.com/mmzsource/verlet). @@ -168,7 +168,7 @@ gravity in the mix: ``` Reading superficially, this code says: if the Point is pinned then return the -same Point. Otherwise, calculate it's velocity (based on the current and +same Point. Otherwise, calculate it's velocity (based on the current - and previous x & y coordinates), add some gravity in the y direction and return the newly calculated Point. @@ -363,13 +363,12 @@ work in a very mutable domain with mostly pure functions, also thanks to the excellent Quil library. My current version of [cloc](https://github.com/AlDanial/cloc) tells me that -core.clj is 230 lines long. It counts the function documentation as code. -Normally the function documentation is counted as 'comment' and not as code. +core.clj is 230 lines long, but it counts the function documentation as code. Therefore, I ran a new `cloc` command without the doc strings. It then counts 159 lines of clojure, approximately half of which are dedicated to UI interaction and the other half to physics simulation. Not bad at all! -I'm glad I decided to 'bite the bullet' and learn Emacs and Cider. I now use +I'm glad I decided to 'bite the bullet' and learn Emacs and CIDER. I now use Emacs for all my Clojure(script) development. In addition, I use Emacs for most of my text editing these days including writing and planning. @@ -388,5 +387,5 @@ Coding! paper](http://graphics.cs.cmu.edu/nsp/course/15-869/2006/papers/jakobsen.htm) - [My verlet integration code in clojure](https://github.com/mmzsource/verlet) - [Quil library](https://github.com/quil/quil) -- [Emacs Cider plugin](https://github.com/clojure-emacs/cider) +- [Emacs CIDER plugin](https://github.com/clojure-emacs/cider) - [Cloc - counting lines of code](https://github.com/AlDanial/cloc) From 096ba749f0fd4d5bf164721419864a207f24c0ab Mon Sep 17 00:00:00 2001 From: Jeroen Knoops Date: Thu, 8 Mar 2018 08:41:43 +0100 Subject: [PATCH 9/9] Add temporary workaround for issue #32 Clojure code hightlight is now disabled, but the indentind is shown. --- _posts/2018-03-04-verlet-integration.md | 24 ++++++++++++------------ 1 file changed, 12 insertions(+), 12 deletions(-) diff --git a/_posts/2018-03-04-verlet-integration.md b/_posts/2018-03-04-verlet-integration.md index 7e0eebb..e3ce178 100644 --- a/_posts/2018-03-04-verlet-integration.md +++ b/_posts/2018-03-04-verlet-integration.md @@ -34,7 +34,7 @@ This code uses the [Quil library](https://github.com/quil/quil) to render points and lines. In the `main-` function, the `sketch` macro from the Quil library is used to bind the physics domain to the UI. -```clojure +```Clojure (defn -main [] (quil/sketch :host -main @@ -55,7 +55,7 @@ The sketch macro basically asks the developer to configure which 'handler functions' it should call when certain events occur. For instance: - a key is pressed -> call `key-pressed` -- the mouse is pressed -> call `mouse-press` +- the mouse is pressed -> call `mouse-pressed` - the state of your program has to be updated -> call `update-state` - it's time to draw the new state -> call `draw` - etc. @@ -69,7 +69,7 @@ Because I configured Quil to run in functional mode `(quil-mw/fun-mode)`, Quil: The handler function signatures therefore look like this: -```clojure +```Clojure (defn draw [state] ...) (defn update-state [state] ...) (defn key-pressed [state event] ...) @@ -81,7 +81,7 @@ The handler function signatures therefore look like this: What does a snapshot of this world state look like? `key-pressed` gives some hints: -```clojure +```Clojure (defn key-pressed [state event] (let [raw-key (:raw-key event) @@ -99,7 +99,7 @@ hints: So on pressing a key, a certain world is loaded. Let's look into the 'sticks' world: -```clojure +```Clojure {:points {:p0 {:x 10 :y 1 :oldx 0 :oldy 0} :p1 {:x 100 :y 100 :oldx 100 :oldy 100} :p2 {:x 0 :y 500 :oldx 0 :oldy 525} @@ -128,7 +128,7 @@ Stick length. The simulation loop boils down to: In code: -```clojure +```Clojure (defn update-state [state] (->> state @@ -145,7 +145,7 @@ This code can be read like this: 'with `state`, first `update-points`, then Points are the main abstraction in this code. I decided to use a record to name them: -```clojure +```Clojure (defrecord Point [x y oldx oldy pinned]) ``` @@ -157,7 +157,7 @@ A pinned Point can be unpinned by clicking it with the mouse pointer. The `update-point` function calculates the velocity of the Point and adds some gravity in the mix: -```clojure +```Clojure (defn update-point [{:keys [x y oldx oldy pinned] :as point}] (if pinned @@ -179,7 +179,7 @@ values in a data structure without explicitly querying the data structure. So instead of getting each and every value out of Point and binding it to a 'new' name... -```clojure +```Clojure (let [x (:x point) y (:y point) oldx (:oldx point) @@ -208,7 +208,7 @@ already moving and reacting to gravity in the simulation. It's time for Points to meet the harsh reality of life. Walls are harder than Points and therefore Points should bounce off of them: -```clojure +```Clojure (defn hit-floor? [y] (> y height)) (defn hit-ceiling? [y] (< y 0)) (defn hit-left-wall? [x] (< x 0)) @@ -276,7 +276,7 @@ Instead of trying to calculate the solution that satisfies all Stick constraints at once, this code simply looks at one Stick at a time and 'solves' the constraint problem by repeatedly solving Stick constraints in isolation. -```clojure +```Clojure (defn apply-stick-constraint [{length :length :as stick} {p0x :x p0y :y oldp0x :oldx oldp0y :oldy pinp0 :pinned :as p0} @@ -336,7 +336,7 @@ is perceived to behave naturally. Finally, the Points and Sticks have to be drawn on screen: -```clojure +```Clojure (defn draw [state] (quil/background 255)