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diff --git a/archetypes/default.md b/archetypes/default.md new file mode 100644 index 0000000..00e77bd --- /dev/null +++ b/archetypes/default.md @@ -0,0 +1,6 @@ +--- +title: "{{ replace .Name "-" " " | title }}" +date: {{ .Date }} +draft: true +--- + diff --git a/config.toml b/config.toml new file mode 100644 index 0000000..e4b7418 --- /dev/null +++ b/config.toml @@ -0,0 +1,3 @@ +baseURL = "http://example.org/" +languageCode = "en-us" +title = "My New Hugo Site" diff --git a/content/fivth.md b/content/fivth.md new file mode 100644 index 0000000..f2236f9 --- /dev/null +++ b/content/fivth.md @@ -0,0 +1,440 @@ +--- +title: "Making a Verlet Physics Engine in Javascript" +date: 2020-08-14T13:30:29+05:30 +draft: true +subtitle: "Javascript" +tags: + - blog + - theme + - javascript +bg_image: "images/bg-image-5.jpg" +--- +Have you ever wondered if you can make your own physics engine in JavaScript? If so, you have come to the right place. We are going to build a Physics engine from scratch in JavaScript. + +Before we start, I should mention that this tutorial assumes you have a good understanding of Vectors. +Don’t worry if you do not yet have this understanding — Vectors are simple: get the Vector.js. + +## What Is Verlet Physics? + +According to Wikipedia: + +> Verlet integration is a numerical method used to integrate Newton’s equations of motion. It is frequently used to calculate trajectories of particles in molecular dynamics simulations and computer graphics. The algorithm was first used in 1791 by Delambre and has been rediscovered many times since then, most recently by Loup Verlet in the 1960s for use in molecular dynamics. +In simple terms, Verlet physics is just a system of connected dots. + +### In a Verlet system, we have 2 main components: + +1. Points (dots) +2. Constraints (sticks) + + + +## Dots + +The dots have basic physics applied to them. +We have to keep track of the dots’ current and old positions to add the physics behavior to them — you'll see this when we implement it. + +```js {4-5} +// Dot.js +class Dot { + constructor(x, y) { + this.pos = new Vector(x, y) + this.oldpos = new Vector(x, y) + this.friction = 0.97 + this.groundFriction = 0.7 + this.gravity = new Vector(0, 1) + this.radius = 5 + this.color = "#e62a4f" + this.mass = 1 + } +} +``` + +We have the basic setup, now let's render the dots and make them move. + +```js {3,12-13} +// Dot.js +update() { + let vel = Vector.sub(this.pos, this.oldpos); + vel.mult(this.friction); + // if the point touches the ground set groundFriction + if (this.pos.y >= CANVAS_HEIGHT - this.radius && vel.magSq() > 0.000001) { + var m = vel.mag(); + vel.x /= m; + vel.y /= m; + vel.mult(m * this.groundFriction); + } + this.oldpos.setXY(this.pos.x, this.pos.y); + this.pos.add(vel); + this.pos.add(this.gravity); +} +``` + +The update function will update the position and handle the physics of the dot. + +To do Verlet integration, we have to calculate velocity based on dots old position. + +In the first line, we are **subtracting the current position from the old position to get the desired velocity.** After calculating the velocity, we apply friction to the dots, so they come to rest instead of sliding forever. + +Then, we update the old position by saying `this.oldpos.setXY(this.pos.x, this.pos.y)` and add the velocity and gravity to the position. + +We also want to make them stay inside the canvas, so we have to add some checks. We will also add another function: `constrain()`: + +```js +// Dot.js +constrain() { + if (this.pos.x > CANVAS_WIDTH - this.radius) { + this.pos.x = CANVAS_WIDTH - this.radius; + } + if (this.pos.x < this.radius) { + this.pos.x = this.radius; + } + if (this.pos.y > CANVAS_HEIGHT - this.radius) { + this.pos.y = CANVAS_HEIGHT - this.radius; + } + if (this.pos.y < this.radius) { + this.pos.y = this.radius; + } +}; +``` + +Let’s add the render method too: + +```js +// Dot.js +render() { + ctx.beginPath(); + ctx.fillStyle = this.color; + ctx.arc(this.pos.x, this.pos.y, this.radius, 0, Math.PI * 2); + ctx.fill(); + ctx.closePath(); +} +``` + +Setting up: + +```js {13,20-24} +// index.js | setup +let canvas = document.getElementById("c") +let ctx = canvas.getContext("2d") +let CANVAS_WIDTH = window.innerWidth +let CANVAS_HEIGHT = window.innerHeight +canvas.width = CANVAS_WIDTH +canvas.height = CANVAS_HEIGHT +let dots = [] +for (let i = 0; i < 50; i++) { + dots.push( + new Dot(Math.random() * CANVAS_WIDTH, Math.random() * CANVAS_HEIGHT) + ) +} +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT) + for (let d of dots) { + d.update() + d.constrain() + d.render(ctx) + } + requestAnimationFrame(animate) +} +animate() +``` + +We added a lot more dots in random positions and then `update()` `constrain()` `render()` them. + +Let's see what that looks like: + +https://codepen.io/anuraghazra/pen/VOpJJR?default-tab=results + +Excellent — it's just a start, but finally, we have something. + +Now we are going to add the sticks! + +## Sticks + +Sticks are the core of Verlet physics. Sticks make sure that the dots don’t get too far or too close to each other — they constrain dots to a certain distance. + + + +**Stick.js** class is relatively simple. It will take two **Dots** as an argument and a length. But if the length is not defined, we will calculate the length based on the dot’s position. + +```js {11,4-5} +// Stick.js +class Stick { + constructor(p1, p2, length) { + this.startPoint = p1 + this.endPoint = p2 + this.stiffness = 2 + this.color = "#f5476a" + // if the length is not given then calculate the distance based on the position + if (!length) { + this.length = this.startPoint.pos.dist(this.endPoint.pos) + } else { + this.length = length + } + } +} +``` + +Now let's add the actual core of the algorithm, This resolves and updates the dot’s position based on the stick’s distance, ultimately constraining it to a certain distance from all other dots. + +```js +// Stick.js +update() { + // calculate the distance between two dots + let dx = this.endPoint.pos.x - this.startPoint.pos.x; + let dy = this.endPoint.pos.y - this.startPoint.pos.y; + // pythagoras theorem + let dist = Math.sqrt(dx * dx + dy * dy); + // calculate the resting distance betwen the dots + let diff = (this.length - dist) / dist * this.stiffness; + // getting the offset of the points + let offsetx = dx * diff * 0.5; + let offsety = dy * diff * 0.5; + // calculate mass + let m1 = this.startPoint.mass + this.endPoint.mass; + let m2 = this.startPoint.mass / m1; + m1 = this.endPoint.mass / m1; + // and finally apply the offset with calculated mass + if (!this.startPoint.pinned) { + this.startPoint.pos.x -= offsetx * m1; + this.startPoint.pos.y -= offsety * m1; + } + if (!this.endPoint.pinned) { + this.endPoint.pos.x += offsetx * m2; + this.endPoint.pos.y += offsety * m2; + } +} +``` + +Okay, I think we are good to go! Let’s add the render function: + +```js +// Stick.js +render(ctx) { + ctx.beginPath(); + ctx.strokeStyle = this.color; + ctx.moveTo(this.startPoint.pos.x, this.startPoint.pos.y); + ctx.lineTo(this.endPoint.pos.x, this.endPoint.pos.y); + ctx.stroke(); + ctx.closePath(); +} +``` + +Setting up: + +```js {11,20-24,34-37} +// index.js | setup +let canvas = document.getElementById("c"); +let ctx = canvas.getContext("2d"); +let CANVAS_WIDTH = window.innerWidth; +let CANVAS_HEIGHT = window.innerHeight; +canvas.width = CANVAS_WIDTH; +canvas.height = CANVAS_HEIGHT; +// arrays +let dots = []; +let sticks = []; +// forming a BOX +dots.push(new Dot(100, 100, (Math.random() - 0.5) * 100.0); // x, y, vx, vy +dots.push(new Dot(200, 100)); +dots.push(new Dot(200, 200)); +dots.push(new Dot(100, 200)); +// sticks +sticks.push(new Stick(dots[0], dots[1])) +sticks.push(new Stick(dots[1], dots[2])) +sticks.push(new Stick(dots[2], dots[3])) +sticks.push(new Stick(dots[3], dots[0])) +sticks.push(new Stick(dots[3], dots[1])) +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT); + for (let d of dots) { + d.update(); + d.constrain(); + d.render(ctx); + } + for (let s of sticks) { + s.update(); + s.render(ctx); + } + requestAnimationFrame(animate); +} +animate(); +``` + +Let’s see the results: + +https://codepen.io/anuraghazra/pen/qGmWmZ?default-tab=results + +As you can see, we have a box! Well, a box that acts like it’s made of Jello, That’s because, in a single frame, one update per stick is not enough to make the dots rest at their length. We have to iterate the simulation as many times as we can — the more the iterations, the more the rigid box will be. + +Adding these lines to the existing code will make the box rigid: + +```js {2,8} +// index.js | setup +const ITERATION = 100 // max physics iterations per frame +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT) + // iterate over the simulation + for (let i = 0; i < ITERATION; i++) { + for (let d of dots) { + d.constrain() + } + for (let s of sticks) { + s.update() + } + } + for (let d of dots) { + d.update() + d.render(ctx) + } + for (let s of sticks) { + s.update() + s.render(ctx) + } + requestAnimationFrame(animate) +} +animate() +``` + +https://codepen.io/anuraghazra/pen/gJWpmX?default-tab=results + +Looks amazing, isn’t it? + +## Entity.js: managing dots and sticks in one place + +Okay, now we have Dot.js and Stick.js. Both are working nicely, but the problem is we don't have much control over how we use them. + +We will create an Entity Class that will easily handle the Updates and Renders of the Verlet Object. I'm going to paste the whole code here — it’s nothing special: + +```js +// Entity.js +class Entity { + constructor(iterations) { + this.dots = [] + this.sticks = [] + this.iterations = iterations || 16 + } + addDot(x, y, vx, vy) { + this.dots.push(new Dot(x, y, vx, vy)) + } + addStick(p1, p2, length) { + this.sticks.push(new Stick(this.dots[p1], this.dots[p2], length)) + } + updatePoints() { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].update() + } + } + updateSticks() { + for (let i = 0; i < this.sticks.length; i++) { + this.sticks[i].update() + } + } + updateContrains() { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].constrain() + } + } + renderPoints(ctx) { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].render(ctx) + } + } + renderSticks(ctx) { + for (let i = 0; i < this.sticks.length; i++) { + this.sticks[i].render(ctx) + } + } + update(ctx) { + this.updatePoints() + for (let j = 0; j < this.iterations; j++) { + this.updateSticks() + this.updateContrains() + } + this.renderPoints(ctx) + this.renderSticks(ctx) + } +} +``` + +Using the Entity Class: + +```js +// index.js | setup +... +let box = new Entity(100) +// x, y, vx, vy added random velocity in first dot to make the box rotate a little bit +box.addDot(100, 100, (Math.random() - 0.5) * 100.0) +box.addDot(200, 100) +box.addDot(200, 200) +box.addDot(100, 200) +box.addStick(0, 1) +box.addStick(1, 2) +box.addStick(2, 3) +box.addStick(3, 0) +box.addStick(3, 1) +... +``` + +Yes, this is looking pretty clean and manageable! + +Let's take a look at the final result: + +https://codepen.io/anuraghazra/pen/JqNdQW?default-tab=results + +Now we can create lots of fun Verlet Shapes with this Entity.js class! + +## Verly.js: A physics engine I wrote + +Verly.js is a Robust Verlet physics engine I wrote. It has many cool features: + +1. Attraction — Repulsion behavior +2. Basic Shapes +3. Box, Hexagon, Cloth, Rope, Ragdoll +4. Cloth Tearing +5. Typography and Text + +With Verly.js you can create a tearable cloth in just 15 lines of code: + +```js {7-8,12-13} +// Verly.js | demo +let canvas = document.getElementById("c") +let ctx = canvas.getContext("2d") +let width = (canvas.width = 800) +let height = (canvas.height = 600) +let verly = new Verly(16) +let cloth = verly.createCloth(150, 150, 250, 250, 15, 2) +function animate() { + ctx.clearRect(0, 0, width, height) + verly.update() + cloth.tear(100) // tear threshold + requestAnimationFrame(animate) +} +animate() +``` + +Demo: https://anuraghazra.github.io/Verly.js/ + +Source-code: https://github.com/anuraghazra/Verly.js + +Examples: https://anuraghazra.github.io/Verly.js/examples + +Take a look at some of the examples in my Verly.js Physics Engine, which I created some time ago. I added almost everything in that engine. + + + + + + +Codepen examples: + +https://codepen.io/anuraghazra/pen/vwmLKo?default-tab=results + +Verly.js’s API is easy to use and flexible because of its Entity Component Structure. + +Thanks for reading — I hope you learned something! + +------ + +### Other places to learn about Verlet physics: + +> [Keith Peter’s CodingMath Verlet Physics Videos.](https://www.youtube.com/watch?v=3HjO_RGIjCU) +> Amazing [Article At DataGenetic](http://datagenetics.com/blog/july22018/index.html)
\ No newline at end of file diff --git a/content/fourth.md b/content/fourth.md new file mode 100644 index 0000000..d50664f --- /dev/null +++ b/content/fourth.md @@ -0,0 +1,441 @@ +--- +title: "Making a Verlet Physics Engine in Javascript" +date: 2020-08-14T13:22:10+05:30 +draft: true +subtitle: "Javascript" +tags: + - markdown + - css + - blog +bg_image: "images/bg-image-4.jpg" +--- + +Have you ever wondered if you can make your own physics engine in JavaScript? If so, you have come to the right place. We are going to build a Physics engine from scratch in JavaScript. + +Before we start, I should mention that this tutorial assumes you have a good understanding of Vectors. +Don’t worry if you do not yet have this understanding — Vectors are simple: get the Vector.js. + +## What Is Verlet Physics? + +According to Wikipedia: + +> Verlet integration is a numerical method used to integrate Newton’s equations of motion. It is frequently used to calculate trajectories of particles in molecular dynamics simulations and computer graphics. The algorithm was first used in 1791 by Delambre and has been rediscovered many times since then, most recently by Loup Verlet in the 1960s for use in molecular dynamics. +In simple terms, Verlet physics is just a system of connected dots. + +### In a Verlet system, we have 2 main components: + +1. Points (dots) +2. Constraints (sticks) + + + +## Dots + +The dots have basic physics applied to them. +We have to keep track of the dots’ current and old positions to add the physics behavior to them — you'll see this when we implement it. + +```js {4-5} +// Dot.js +class Dot { + constructor(x, y) { + this.pos = new Vector(x, y) + this.oldpos = new Vector(x, y) + this.friction = 0.97 + this.groundFriction = 0.7 + this.gravity = new Vector(0, 1) + this.radius = 5 + this.color = "#e62a4f" + this.mass = 1 + } +} +``` + +We have the basic setup, now let's render the dots and make them move. + +```js {3,12-13} +// Dot.js +update() { + let vel = Vector.sub(this.pos, this.oldpos); + vel.mult(this.friction); + // if the point touches the ground set groundFriction + if (this.pos.y >= CANVAS_HEIGHT - this.radius && vel.magSq() > 0.000001) { + var m = vel.mag(); + vel.x /= m; + vel.y /= m; + vel.mult(m * this.groundFriction); + } + this.oldpos.setXY(this.pos.x, this.pos.y); + this.pos.add(vel); + this.pos.add(this.gravity); +} +``` + +The update function will update the position and handle the physics of the dot. + +To do Verlet integration, we have to calculate velocity based on dots old position. + +In the first line, we are **subtracting the current position from the old position to get the desired velocity.** After calculating the velocity, we apply friction to the dots, so they come to rest instead of sliding forever. + +Then, we update the old position by saying `this.oldpos.setXY(this.pos.x, this.pos.y)` and add the velocity and gravity to the position. + +We also want to make them stay inside the canvas, so we have to add some checks. We will also add another function: `constrain()`: + +```js +// Dot.js +constrain() { + if (this.pos.x > CANVAS_WIDTH - this.radius) { + this.pos.x = CANVAS_WIDTH - this.radius; + } + if (this.pos.x < this.radius) { + this.pos.x = this.radius; + } + if (this.pos.y > CANVAS_HEIGHT - this.radius) { + this.pos.y = CANVAS_HEIGHT - this.radius; + } + if (this.pos.y < this.radius) { + this.pos.y = this.radius; + } +}; +``` + +Let’s add the render method too: + +```js +// Dot.js +render() { + ctx.beginPath(); + ctx.fillStyle = this.color; + ctx.arc(this.pos.x, this.pos.y, this.radius, 0, Math.PI * 2); + ctx.fill(); + ctx.closePath(); +} +``` + +Setting up: + +```js {13,20-24} +// index.js | setup +let canvas = document.getElementById("c") +let ctx = canvas.getContext("2d") +let CANVAS_WIDTH = window.innerWidth +let CANVAS_HEIGHT = window.innerHeight +canvas.width = CANVAS_WIDTH +canvas.height = CANVAS_HEIGHT +let dots = [] +for (let i = 0; i < 50; i++) { + dots.push( + new Dot(Math.random() * CANVAS_WIDTH, Math.random() * CANVAS_HEIGHT) + ) +} +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT) + for (let d of dots) { + d.update() + d.constrain() + d.render(ctx) + } + requestAnimationFrame(animate) +} +animate() +``` + +We added a lot more dots in random positions and then `update()` `constrain()` `render()` them. + +Let's see what that looks like: + +https://codepen.io/anuraghazra/pen/VOpJJR?default-tab=results + +Excellent — it's just a start, but finally, we have something. + +Now we are going to add the sticks! + +## Sticks + +Sticks are the core of Verlet physics. Sticks make sure that the dots don’t get too far or too close to each other — they constrain dots to a certain distance. + + + +**Stick.js** class is relatively simple. It will take two **Dots** as an argument and a length. But if the length is not defined, we will calculate the length based on the dot’s position. + +```js {11,4-5} +// Stick.js +class Stick { + constructor(p1, p2, length) { + this.startPoint = p1 + this.endPoint = p2 + this.stiffness = 2 + this.color = "#f5476a" + // if the length is not given then calculate the distance based on the position + if (!length) { + this.length = this.startPoint.pos.dist(this.endPoint.pos) + } else { + this.length = length + } + } +} +``` + +Now let's add the actual core of the algorithm, This resolves and updates the dot’s position based on the stick’s distance, ultimately constraining it to a certain distance from all other dots. + +```js +// Stick.js +update() { + // calculate the distance between two dots + let dx = this.endPoint.pos.x - this.startPoint.pos.x; + let dy = this.endPoint.pos.y - this.startPoint.pos.y; + // pythagoras theorem + let dist = Math.sqrt(dx * dx + dy * dy); + // calculate the resting distance betwen the dots + let diff = (this.length - dist) / dist * this.stiffness; + // getting the offset of the points + let offsetx = dx * diff * 0.5; + let offsety = dy * diff * 0.5; + // calculate mass + let m1 = this.startPoint.mass + this.endPoint.mass; + let m2 = this.startPoint.mass / m1; + m1 = this.endPoint.mass / m1; + // and finally apply the offset with calculated mass + if (!this.startPoint.pinned) { + this.startPoint.pos.x -= offsetx * m1; + this.startPoint.pos.y -= offsety * m1; + } + if (!this.endPoint.pinned) { + this.endPoint.pos.x += offsetx * m2; + this.endPoint.pos.y += offsety * m2; + } +} +``` + +Okay, I think we are good to go! Let’s add the render function: + +```js +// Stick.js +render(ctx) { + ctx.beginPath(); + ctx.strokeStyle = this.color; + ctx.moveTo(this.startPoint.pos.x, this.startPoint.pos.y); + ctx.lineTo(this.endPoint.pos.x, this.endPoint.pos.y); + ctx.stroke(); + ctx.closePath(); +} +``` + +Setting up: + +```js {11,20-24,34-37} +// index.js | setup +let canvas = document.getElementById("c"); +let ctx = canvas.getContext("2d"); +let CANVAS_WIDTH = window.innerWidth; +let CANVAS_HEIGHT = window.innerHeight; +canvas.width = CANVAS_WIDTH; +canvas.height = CANVAS_HEIGHT; +// arrays +let dots = []; +let sticks = []; +// forming a BOX +dots.push(new Dot(100, 100, (Math.random() - 0.5) * 100.0); // x, y, vx, vy +dots.push(new Dot(200, 100)); +dots.push(new Dot(200, 200)); +dots.push(new Dot(100, 200)); +// sticks +sticks.push(new Stick(dots[0], dots[1])) +sticks.push(new Stick(dots[1], dots[2])) +sticks.push(new Stick(dots[2], dots[3])) +sticks.push(new Stick(dots[3], dots[0])) +sticks.push(new Stick(dots[3], dots[1])) +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT); + for (let d of dots) { + d.update(); + d.constrain(); + d.render(ctx); + } + for (let s of sticks) { + s.update(); + s.render(ctx); + } + requestAnimationFrame(animate); +} +animate(); +``` + +Let’s see the results: + +https://codepen.io/anuraghazra/pen/qGmWmZ?default-tab=results + +As you can see, we have a box! Well, a box that acts like it’s made of Jello, That’s because, in a single frame, one update per stick is not enough to make the dots rest at their length. We have to iterate the simulation as many times as we can — the more the iterations, the more the rigid box will be. + +Adding these lines to the existing code will make the box rigid: + +```js {2,8} +// index.js | setup +const ITERATION = 100 // max physics iterations per frame +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT) + // iterate over the simulation + for (let i = 0; i < ITERATION; i++) { + for (let d of dots) { + d.constrain() + } + for (let s of sticks) { + s.update() + } + } + for (let d of dots) { + d.update() + d.render(ctx) + } + for (let s of sticks) { + s.update() + s.render(ctx) + } + requestAnimationFrame(animate) +} +animate() +``` + +https://codepen.io/anuraghazra/pen/gJWpmX?default-tab=results + +Looks amazing, isn’t it? + +## Entity.js: managing dots and sticks in one place + +Okay, now we have Dot.js and Stick.js. Both are working nicely, but the problem is we don't have much control over how we use them. + +We will create an Entity Class that will easily handle the Updates and Renders of the Verlet Object. I'm going to paste the whole code here — it’s nothing special: + +```js +// Entity.js +class Entity { + constructor(iterations) { + this.dots = [] + this.sticks = [] + this.iterations = iterations || 16 + } + addDot(x, y, vx, vy) { + this.dots.push(new Dot(x, y, vx, vy)) + } + addStick(p1, p2, length) { + this.sticks.push(new Stick(this.dots[p1], this.dots[p2], length)) + } + updatePoints() { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].update() + } + } + updateSticks() { + for (let i = 0; i < this.sticks.length; i++) { + this.sticks[i].update() + } + } + updateContrains() { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].constrain() + } + } + renderPoints(ctx) { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].render(ctx) + } + } + renderSticks(ctx) { + for (let i = 0; i < this.sticks.length; i++) { + this.sticks[i].render(ctx) + } + } + update(ctx) { + this.updatePoints() + for (let j = 0; j < this.iterations; j++) { + this.updateSticks() + this.updateContrains() + } + this.renderPoints(ctx) + this.renderSticks(ctx) + } +} +``` + +Using the Entity Class: + +```js +// index.js | setup +... +let box = new Entity(100) +// x, y, vx, vy added random velocity in first dot to make the box rotate a little bit +box.addDot(100, 100, (Math.random() - 0.5) * 100.0) +box.addDot(200, 100) +box.addDot(200, 200) +box.addDot(100, 200) +box.addStick(0, 1) +box.addStick(1, 2) +box.addStick(2, 3) +box.addStick(3, 0) +box.addStick(3, 1) +... +``` + +Yes, this is looking pretty clean and manageable! + +Let's take a look at the final result: + +https://codepen.io/anuraghazra/pen/JqNdQW?default-tab=results + +Now we can create lots of fun Verlet Shapes with this Entity.js class! + +## Verly.js: A physics engine I wrote + +Verly.js is a Robust Verlet physics engine I wrote. It has many cool features: + +1. Attraction — Repulsion behavior +2. Basic Shapes +3. Box, Hexagon, Cloth, Rope, Ragdoll +4. Cloth Tearing +5. Typography and Text + +With Verly.js you can create a tearable cloth in just 15 lines of code: + +```js {7-8,12-13} +// Verly.js | demo +let canvas = document.getElementById("c") +let ctx = canvas.getContext("2d") +let width = (canvas.width = 800) +let height = (canvas.height = 600) +let verly = new Verly(16) +let cloth = verly.createCloth(150, 150, 250, 250, 15, 2) +function animate() { + ctx.clearRect(0, 0, width, height) + verly.update() + cloth.tear(100) // tear threshold + requestAnimationFrame(animate) +} +animate() +``` + +Demo: https://anuraghazra.github.io/Verly.js/ + +Source-code: https://github.com/anuraghazra/Verly.js + +Examples: https://anuraghazra.github.io/Verly.js/examples + +Take a look at some of the examples in my Verly.js Physics Engine, which I created some time ago. I added almost everything in that engine. + + + + + + +Codepen examples: + +https://codepen.io/anuraghazra/pen/vwmLKo?default-tab=results + +Verly.js’s API is easy to use and flexible because of its Entity Component Structure. + +Thanks for reading — I hope you learned something! + +------ + +### Other places to learn about Verlet physics: + +> [Keith Peter’s CodingMath Verlet Physics Videos.](https://www.youtube.com/watch?v=3HjO_RGIjCU) +> Amazing [Article At DataGenetic](http://datagenetics.com/blog/july22018/index.html)
\ No newline at end of file diff --git a/content/markdown.md b/content/markdown.md new file mode 100644 index 0000000..8f5132e --- /dev/null +++ b/content/markdown.md @@ -0,0 +1,443 @@ +--- +title: "Making a Verlet Physics Engine in Javascript" +date: 2020-08-11T23:03:58+05:30 +draft: true +subtitle: "Javascript" +bg_image: "images/bg-image.jpg" +tags: + - markdown + - css + - html + - themes + - blog +--- + +Have you ever wondered if you can make your own physics engine in JavaScript? If so, you have come to the right place. We are going to build a Physics engine from scratch in JavaScript. + +Before we start, I should mention that this tutorial assumes you have a good understanding of Vectors. +Don’t worry if you do not yet have this understanding — Vectors are simple: get the Vector.js. + +## What Is Verlet Physics? + +According to Wikipedia: + +> Verlet integration is a numerical method used to integrate Newton’s equations of motion. It is frequently used to calculate trajectories of particles in molecular dynamics simulations and computer graphics. The algorithm was first used in 1791 by Delambre and has been rediscovered many times since then, most recently by Loup Verlet in the 1960s for use in molecular dynamics. +In simple terms, Verlet physics is just a system of connected dots. + +### In a Verlet system, we have 2 main components: + +1. Points (dots) +2. Constraints (sticks) + + + +## Dots + +The dots have basic physics applied to them. +We have to keep track of the dots’ current and old positions to add the physics behavior to them — you'll see this when we implement it. + +```js {4-5} +// Dot.js +class Dot { + constructor(x, y) { + this.pos = new Vector(x, y) + this.oldpos = new Vector(x, y) + this.friction = 0.97 + this.groundFriction = 0.7 + this.gravity = new Vector(0, 1) + this.radius = 5 + this.color = "#e62a4f" + this.mass = 1 + } +} +``` + +We have the basic setup, now let's render the dots and make them move. + +```js {3,12-13} +// Dot.js +update() { + let vel = Vector.sub(this.pos, this.oldpos); + vel.mult(this.friction); + // if the point touches the ground set groundFriction + if (this.pos.y >= CANVAS_HEIGHT - this.radius && vel.magSq() > 0.000001) { + var m = vel.mag(); + vel.x /= m; + vel.y /= m; + vel.mult(m * this.groundFriction); + } + this.oldpos.setXY(this.pos.x, this.pos.y); + this.pos.add(vel); + this.pos.add(this.gravity); +} +``` + +The update function will update the position and handle the physics of the dot. + +To do Verlet integration, we have to calculate velocity based on dots old position. + +In the first line, we are **subtracting the current position from the old position to get the desired velocity.** After calculating the velocity, we apply friction to the dots, so they come to rest instead of sliding forever. + +Then, we update the old position by saying `this.oldpos.setXY(this.pos.x, this.pos.y)` and add the velocity and gravity to the position. + +We also want to make them stay inside the canvas, so we have to add some checks. We will also add another function: `constrain()`: + +```js +// Dot.js +constrain() { + if (this.pos.x > CANVAS_WIDTH - this.radius) { + this.pos.x = CANVAS_WIDTH - this.radius; + } + if (this.pos.x < this.radius) { + this.pos.x = this.radius; + } + if (this.pos.y > CANVAS_HEIGHT - this.radius) { + this.pos.y = CANVAS_HEIGHT - this.radius; + } + if (this.pos.y < this.radius) { + this.pos.y = this.radius; + } +}; +``` + +Let’s add the render method too: + +```js +// Dot.js +render() { + ctx.beginPath(); + ctx.fillStyle = this.color; + ctx.arc(this.pos.x, this.pos.y, this.radius, 0, Math.PI * 2); + ctx.fill(); + ctx.closePath(); +} +``` + +Setting up: + +```js {13,20-24} +// index.js | setup +let canvas = document.getElementById("c") +let ctx = canvas.getContext("2d") +let CANVAS_WIDTH = window.innerWidth +let CANVAS_HEIGHT = window.innerHeight +canvas.width = CANVAS_WIDTH +canvas.height = CANVAS_HEIGHT +let dots = [] +for (let i = 0; i < 50; i++) { + dots.push( + new Dot(Math.random() * CANVAS_WIDTH, Math.random() * CANVAS_HEIGHT) + ) +} +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT) + for (let d of dots) { + d.update() + d.constrain() + d.render(ctx) + } + requestAnimationFrame(animate) +} +animate() +``` + +We added a lot more dots in random positions and then `update()` `constrain()` `render()` them. + +Let's see what that looks like: + +https://codepen.io/anuraghazra/pen/VOpJJR?default-tab=results + +Excellent — it's just a start, but finally, we have something. + +Now we are going to add the sticks! + +## Sticks + +Sticks are the core of Verlet physics. Sticks make sure that the dots don’t get too far or too close to each other — they constrain dots to a certain distance. + + + +**Stick.js** class is relatively simple. It will take two **Dots** as an argument and a length. But if the length is not defined, we will calculate the length based on the dot’s position. + +```js {11,4-5} +// Stick.js +class Stick { + constructor(p1, p2, length) { + this.startPoint = p1 + this.endPoint = p2 + this.stiffness = 2 + this.color = "#f5476a" + // if the length is not given then calculate the distance based on the position + if (!length) { + this.length = this.startPoint.pos.dist(this.endPoint.pos) + } else { + this.length = length + } + } +} +``` + +Now let's add the actual core of the algorithm, This resolves and updates the dot’s position based on the stick’s distance, ultimately constraining it to a certain distance from all other dots. + +```js +// Stick.js +update() { + // calculate the distance between two dots + let dx = this.endPoint.pos.x - this.startPoint.pos.x; + let dy = this.endPoint.pos.y - this.startPoint.pos.y; + // pythagoras theorem + let dist = Math.sqrt(dx * dx + dy * dy); + // calculate the resting distance betwen the dots + let diff = (this.length - dist) / dist * this.stiffness; + // getting the offset of the points + let offsetx = dx * diff * 0.5; + let offsety = dy * diff * 0.5; + // calculate mass + let m1 = this.startPoint.mass + this.endPoint.mass; + let m2 = this.startPoint.mass / m1; + m1 = this.endPoint.mass / m1; + // and finally apply the offset with calculated mass + if (!this.startPoint.pinned) { + this.startPoint.pos.x -= offsetx * m1; + this.startPoint.pos.y -= offsety * m1; + } + if (!this.endPoint.pinned) { + this.endPoint.pos.x += offsetx * m2; + this.endPoint.pos.y += offsety * m2; + } +} +``` + +Okay, I think we are good to go! Let’s add the render function: + +```js +// Stick.js +render(ctx) { + ctx.beginPath(); + ctx.strokeStyle = this.color; + ctx.moveTo(this.startPoint.pos.x, this.startPoint.pos.y); + ctx.lineTo(this.endPoint.pos.x, this.endPoint.pos.y); + ctx.stroke(); + ctx.closePath(); +} +``` + +Setting up: + +```js {11,20-24,34-37} +// index.js | setup +let canvas = document.getElementById("c"); +let ctx = canvas.getContext("2d"); +let CANVAS_WIDTH = window.innerWidth; +let CANVAS_HEIGHT = window.innerHeight; +canvas.width = CANVAS_WIDTH; +canvas.height = CANVAS_HEIGHT; +// arrays +let dots = []; +let sticks = []; +// forming a BOX +dots.push(new Dot(100, 100, (Math.random() - 0.5) * 100.0); // x, y, vx, vy +dots.push(new Dot(200, 100)); +dots.push(new Dot(200, 200)); +dots.push(new Dot(100, 200)); +// sticks +sticks.push(new Stick(dots[0], dots[1])) +sticks.push(new Stick(dots[1], dots[2])) +sticks.push(new Stick(dots[2], dots[3])) +sticks.push(new Stick(dots[3], dots[0])) +sticks.push(new Stick(dots[3], dots[1])) +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT); + for (let d of dots) { + d.update(); + d.constrain(); + d.render(ctx); + } + for (let s of sticks) { + s.update(); + s.render(ctx); + } + requestAnimationFrame(animate); +} +animate(); +``` + +Let’s see the results: + +https://codepen.io/anuraghazra/pen/qGmWmZ?default-tab=results + +As you can see, we have a box! Well, a box that acts like it’s made of Jello, That’s because, in a single frame, one update per stick is not enough to make the dots rest at their length. We have to iterate the simulation as many times as we can — the more the iterations, the more the rigid box will be. + +Adding these lines to the existing code will make the box rigid: + +```js {2,8} +// index.js | setup +const ITERATION = 100 // max physics iterations per frame +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT) + // iterate over the simulation + for (let i = 0; i < ITERATION; i++) { + for (let d of dots) { + d.constrain() + } + for (let s of sticks) { + s.update() + } + } + for (let d of dots) { + d.update() + d.render(ctx) + } + for (let s of sticks) { + s.update() + s.render(ctx) + } + requestAnimationFrame(animate) +} +animate() +``` + +https://codepen.io/anuraghazra/pen/gJWpmX?default-tab=results + +Looks amazing, isn’t it? + +## Entity.js: managing dots and sticks in one place + +Okay, now we have Dot.js and Stick.js. Both are working nicely, but the problem is we don't have much control over how we use them. + +We will create an Entity Class that will easily handle the Updates and Renders of the Verlet Object. I'm going to paste the whole code here — it’s nothing special: + +```js +// Entity.js +class Entity { + constructor(iterations) { + this.dots = [] + this.sticks = [] + this.iterations = iterations || 16 + } + addDot(x, y, vx, vy) { + this.dots.push(new Dot(x, y, vx, vy)) + } + addStick(p1, p2, length) { + this.sticks.push(new Stick(this.dots[p1], this.dots[p2], length)) + } + updatePoints() { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].update() + } + } + updateSticks() { + for (let i = 0; i < this.sticks.length; i++) { + this.sticks[i].update() + } + } + updateContrains() { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].constrain() + } + } + renderPoints(ctx) { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].render(ctx) + } + } + renderSticks(ctx) { + for (let i = 0; i < this.sticks.length; i++) { + this.sticks[i].render(ctx) + } + } + update(ctx) { + this.updatePoints() + for (let j = 0; j < this.iterations; j++) { + this.updateSticks() + this.updateContrains() + } + this.renderPoints(ctx) + this.renderSticks(ctx) + } +} +``` + +Using the Entity Class: + +```js +// index.js | setup +... +let box = new Entity(100) +// x, y, vx, vy added random velocity in first dot to make the box rotate a little bit +box.addDot(100, 100, (Math.random() - 0.5) * 100.0) +box.addDot(200, 100) +box.addDot(200, 200) +box.addDot(100, 200) +box.addStick(0, 1) +box.addStick(1, 2) +box.addStick(2, 3) +box.addStick(3, 0) +box.addStick(3, 1) +... +``` + +Yes, this is looking pretty clean and manageable! + +Let's take a look at the final result: + +https://codepen.io/anuraghazra/pen/JqNdQW?default-tab=results + +Now we can create lots of fun Verlet Shapes with this Entity.js class! + +## Verly.js: A physics engine I wrote + +Verly.js is a Robust Verlet physics engine I wrote. It has many cool features: + +1. Attraction — Repulsion behavior +2. Basic Shapes +3. Box, Hexagon, Cloth, Rope, Ragdoll +4. Cloth Tearing +5. Typography and Text + +With Verly.js you can create a tearable cloth in just 15 lines of code: + +```js {7-8,12-13} +// Verly.js | demo +let canvas = document.getElementById("c") +let ctx = canvas.getContext("2d") +let width = (canvas.width = 800) +let height = (canvas.height = 600) +let verly = new Verly(16) +let cloth = verly.createCloth(150, 150, 250, 250, 15, 2) +function animate() { + ctx.clearRect(0, 0, width, height) + verly.update() + cloth.tear(100) // tear threshold + requestAnimationFrame(animate) +} +animate() +``` + +Demo: https://anuraghazra.github.io/Verly.js/ + +Source-code: https://github.com/anuraghazra/Verly.js + +Examples: https://anuraghazra.github.io/Verly.js/examples + +Take a look at some of the examples in my Verly.js Physics Engine, which I created some time ago. I added almost everything in that engine. + + + + + + +Codepen examples: + +https://codepen.io/anuraghazra/pen/vwmLKo?default-tab=results + +Verly.js’s API is easy to use and flexible because of its Entity Component Structure. + +Thanks for reading — I hope you learned something! + +------ + +### Other places to learn about Verlet physics: + +> [Keith Peter’s CodingMath Verlet Physics Videos.](https://www.youtube.com/watch?v=3HjO_RGIjCU) +> Amazing [Article At DataGenetic](http://datagenetics.com/blog/july22018/index.html)
\ No newline at end of file diff --git a/content/second.md b/content/second.md new file mode 100644 index 0000000..714e689 --- /dev/null +++ b/content/second.md @@ -0,0 +1,1093 @@ +--- +title: "How to make a hugo theme" +date: 2020-08-14T13:11:45+05:30 +draft: true +subtitle: "Hugo theme" +tags: + - hugo + - blog +bg_image: "images/bg-image-2.jpg" +--- + +## Introduction + +This tutorial will show you how to create a simple theme in Hugo. I assume that you are familiar with HTML, the bash command line, and that you are comfortable using Markdown to format content. I'll explain how Hugo uses templates and how you can organize your templates to create a theme. I won't cover using CSS to style your theme. + +We'll start with creating a new site with a very basic template. Then we'll add in a few pages and posts. With small variations on that, you will be able to create many different types of web sites. + +In this tutorial, commands that you enter will start with the "$" prompt. The output will follow. Lines that start with "#" are comments that I've added to explain a point. When I show updates to a file, the ":wq" on the last line means to save the file. + +Here's an example: + +``` +## this is a comment +$ echo this is a command +this is a command +## edit the file +$vi foo.md ++++ +date = "2014-09-28" +title = "creating a new theme" ++++ +bah and humbug +:wq +## show it +$ cat foo.md ++++ +date = "2014-09-28" +title = "creating a new theme" ++++ +bah and humbug +$ +``` + + +## Some Definitions + +There are a few concepts that you need to understand before creating a theme. + +### Skins + +Skins are the files responsible for the look and feel of your site. It’s the CSS that controls colors and fonts, it’s the Javascript that determines actions and reactions. It’s also the rules that Hugo uses to transform your content into the HTML that the site will serve to visitors. + +You have two ways to create a skin. The simplest way is to create it in the ```layouts/``` directory. If you do, then you don’t have to worry about configuring Hugo to recognize it. The first place that Hugo will look for rules and files is in the ```layouts/``` directory so it will always find the skin. + +Your second choice is to create it in a sub-directory of the ```themes/``` directory. If you do, then you must always tell Hugo where to search for the skin. It’s extra work, though, so why bother with it? + +The difference between creating a skin in ```layouts/``` and creating it in ```themes/``` is very subtle. A skin in ```layouts/``` can’t be customized without updating the templates and static files that it is built from. A skin created in ```themes/```, on the other hand, can be and that makes it easier for other people to use it. + +The rest of this tutorial will call a skin created in the ```themes/``` directory a theme. + +Note that you can use this tutorial to create a skin in the ```layouts/``` directory if you wish to. The main difference will be that you won’t need to update the site’s configuration file to use a theme. + +### The Home Page + +The home page, or landing page, is the first page that many visitors to a site see. It is the index.html file in the root directory of the web site. Since Hugo writes files to the public/ directory, our home page is public/index.html. + +### Site Configuration File + +When Hugo runs, it looks for a configuration file that contains settings that override default values for the entire site. The file can use TOML, YAML, or JSON. I prefer to use TOML for my configuration files. If you prefer to use JSON or YAML, you’ll need to translate my examples. You’ll also need to change the name of the file since Hugo uses the extension to determine how to process it. + +Hugo translates Markdown files into HTML. By default, Hugo expects to find Markdown files in your ```content/``` directory and template files in your ```themes/``` directory. It will create HTML files in your ```public/``` directory. You can change this by specifying alternate locations in the configuration file. + +### Content + +Content is stored in text files that contain two sections. The first section is the “front matter,” which is the meta-information on the content. The second section contains Markdown that will be converted to HTML. + +#### Front Matter + +The front matter is information about the content. Like the configuration file, it can be written in TOML, YAML, or JSON. Unlike the configuration file, Hugo doesn’t use the file’s extension to know the format. It looks for markers to signal the type. TOML is surrounded by “`+++`”, YAML by “`---`”, and JSON is enclosed in curly braces. I prefer to use TOML, so you’ll need to translate my examples if you prefer YAML or JSON. + +The information in the front matter is passed into the template before the content is rendered into HTML. + +#### Markdown + +Content is written in Markdown which makes it easier to create the content. Hugo runs the content through a Markdown engine to create the HTML which will be written to the output file. + +### Template Files + +Hugo uses template files to render content into HTML. Template files are a bridge between the content and presentation. Rules in the template define what content is published, where it's published to, and how it will rendered to the HTML file. The template guides the presentation by specifying the style to use. + +There are three types of templates: single, list, and partial. Each type takes a bit of content as input and transforms it based on the commands in the template. + +Hugo uses its knowledge of the content to find the template file used to render the content. If it can’t find a template that is an exact match for the content, it will shift up a level and search from there. It will continue to do so until it finds a matching template or runs out of templates to try. If it can’t find a template, it will use the default template for the site. + +Please note that you can use the front matter to influence Hugo’s choice of templates. + +#### Single Template + +A single template is used to render a single piece of content. For example, an article or post would be a single piece of content and use a single template. + +#### List Template + +A list template renders a group of related content. That could be a summary of recent postings or all articles in a category. List templates can contain multiple groups. + +The homepage template is a special type of list template. Hugo assumes that the home page of your site will act as the portal for the rest of the content in the site. + +#### Partial Template + +A partial template is a template that can be included in other templates. Partial templates must be called using the “partial” template command. They are very handy for rolling up common behavior. For example, your site may have a banner that all pages use. Instead of copying the text of the banner into every single and list template, you could create a partial with the banner in it. That way if you decide to change the banner, you only have to change the partial template. + +## Create a New Site + +Let's use Hugo to create a new web site. I'm a Mac user, so I'll create mine in my home directory, in the Sites folder. If you're using Linux, you might have to create the folder first. + +The "new site" command will create a skeleton of a site. It will give you the basic directory structure and a useable configuration file. + +``` +$ hugo new site ~/Sites/zafta +$ cd ~/Sites/zafta +$ ls -l +total 8 +drwxr-xr-x 7 quoha staff 238 Sep 29 16:49 . +drwxr-xr-x 3 quoha staff 102 Sep 29 16:49 .. +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 archetypes +-rw-r--r-- 1 quoha staff 82 Sep 29 16:49 config.toml +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 content +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 layouts +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 static +$ +``` + +Take a look in the content/ directory to confirm that it is empty. + +The other directories (archetypes/, layouts/, and static/) are used when customizing a theme. That's a topic for a different tutorial, so please ignore them for now. + +### Generate the HTML For the New Site + +Running the `hugo` command with no options will read all the available content and generate the HTML files. It will also copy all static files (that's everything that's not content). Since we have an empty site, it won't do much, but it will do it very quickly. + +``` +$ hugo --verbose +INFO: 2014/09/29 Using config file: config.toml +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/static/ to /Users/quoha/Sites/zafta/public/ +WARN: 2014/09/29 Unable to locate layout: [index.html _default/list.html _default/single.html] +WARN: 2014/09/29 Unable to locate layout: [404.html] +0 draft content +0 future content +0 pages created +0 tags created +0 categories created +in 2 ms +$ +``` + +The "`--verbose`" flag gives extra information that will be helpful when we build the template. Every line of the output that starts with "INFO:" or "WARN:" is present because we used that flag. The lines that start with "WARN:" are warning messages. We'll go over them later. + +We can verify that the command worked by looking at the directory again. + +``` +$ ls -l +total 8 +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 archetypes +-rw-r--r-- 1 quoha staff 82 Sep 29 16:49 config.toml +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 content +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 layouts +drwxr-xr-x 4 quoha staff 136 Sep 29 17:02 public +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 static +$ +``` + +See that new public/ directory? Hugo placed all generated content there. When you're ready to publish your web site, that's the place to start. For now, though, let's just confirm that we have what we'd expect from a site with no content. + +``` +$ ls -l public +total 16 +-rw-r--r-- 1 quoha staff 416 Sep 29 17:02 index.xml +-rw-r--r-- 1 quoha staff 262 Sep 29 17:02 sitemap.xml +$ +``` + +Hugo created two XML files, which is standard, but there are no HTML files. + + + +### Test the New Site + +Verify that you can run the built-in web server. It will dramatically shorten your development cycle if you do. Start it by running the "server" command. If it is successful, you will see output similar to the following: + +``` +$ hugo server --verbose +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/static/ to /Users/quoha/Sites/zafta/public/ +WARN: 2014/09/29 Unable to locate layout: [index.html _default/list.html _default/single.html] +WARN: 2014/09/29 Unable to locate layout: [404.html] +0 draft content +0 future content +0 pages created +0 tags created +0 categories created +in 2 ms +Serving pages from /Users/quoha/Sites/zafta/public +Web Server is available at http://localhost:1313 +Press Ctrl+C to stop +``` + +Connect to the listed URL (it's on the line that starts with "Web Server"). If everything is working correctly, you should get a page that shows the following: + +``` +index.xml +sitemap.xml +``` + +That's a listing of your public/ directory. Hugo didn't create a home page because our site has no content. When there's no index.html file in a directory, the server lists the files in the directory, which is what you should see in your browser. + +Let’s go back and look at those warnings again. + +``` +WARN: 2014/09/29 Unable to locate layout: [index.html _default/list.html _default/single.html] +WARN: 2014/09/29 Unable to locate layout: [404.html] +``` + +That second warning is easier to explain. We haven’t created a template to be used to generate “page not found errors.” The 404 message is a topic for a separate tutorial. + +Now for the first warning. It is for the home page. You can tell because the first layout that it looked for was “index.html.” That’s only used by the home page. + +I like that the verbose flag causes Hugo to list the files that it's searching for. For the home page, they are index.html, _default/list.html, and _default/single.html. There are some rules that we'll cover later that explain the names and paths. For now, just remember that Hugo couldn't find a template for the home page and it told you so. + +At this point, you've got a working installation and site that we can build upon. All that’s left is to add some content and a theme to display it. + +## Create a New Theme + +Hugo doesn't ship with a default theme. There are a few available (I counted a dozen when I first installed Hugo) and Hugo comes with a command to create new themes. + +We're going to create a new theme called "zafta." Since the goal of this tutorial is to show you how to fill out the files to pull in your content, the theme will not contain any CSS. In other words, ugly but functional. + +All themes have opinions on content and layout. For example, Zafta uses "post" over "blog". Strong opinions make for simpler templates but differing opinions make it tougher to use themes. When you build a theme, consider using the terms that other themes do. + + +### Create a Skeleton + +Use the hugo "new" command to create the skeleton of a theme. This creates the directory structure and places empty files for you to fill out. + +``` +$ hugo new theme zafta +$ ls -l +total 8 +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 archetypes +-rw-r--r-- 1 quoha staff 82 Sep 29 16:49 config.toml +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 content +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 layouts +drwxr-xr-x 4 quoha staff 136 Sep 29 17:02 public +drwxr-xr-x 2 quoha staff 68 Sep 29 16:49 static +drwxr-xr-x 3 quoha staff 102 Sep 29 17:31 themes +$ find themes -type f | xargs ls -l +-rw-r--r-- 1 quoha staff 1081 Sep 29 17:31 themes/zafta/LICENSE.md +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/archetypes/default.md +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/_default/list.html +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/_default/single.html +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/partials/footer.html +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/partials/header.html +-rw-r--r-- 1 quoha staff 93 Sep 29 17:31 themes/zafta/theme.toml +$ +``` + +The skeleton includes templates (the files ending in .html), license file, a description of your theme (the theme.toml file), and an empty archetype. + +Please take a minute to fill out the theme.toml and LICENSE.md files. They're optional, but if you're going to be distributing your theme, it tells the world who to praise (or blame). It's also nice to declare the license so that people will know how they can use the theme. + +``` +$ vi themes/zafta/theme.toml +author = "michael d henderson" +description = "a minimal working template" +license = "MIT" +name = "zafta" +source_repo = "" +tags = ["tags", "categories"] +:wq +## also edit themes/zafta/LICENSE.md and change +## the bit that says "YOUR_NAME_HERE" +``` + +Note that the the skeleton's template files are empty. Don't worry, we'll be changing that shortly. + +``` +$ find themes/zafta -name '*.html' | xargs ls -l +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/_default/list.html +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/_default/single.html +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/partials/footer.html +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/partials/header.html +$ +``` + + + +### Update the Configuration File to Use the Theme + +Now that we've got a theme to work with, it's a good idea to add the theme name to the configuration file. This is optional, because you can always add "-t zafta" on all your commands. I like to put it the configuration file because I like shorter command lines. If you don't put it in the configuration file or specify it on the command line, you won't use the template that you're expecting to. + +Edit the file to add the theme, add a title for the site, and specify that all of our content will use the TOML format. + +``` +$ vi config.toml +theme = "zafta" +baseurl = "" +languageCode = "en-us" +title = "zafta - totally refreshing" +MetaDataFormat = "toml" +:wq +$ +``` + +### Generate the Site + +Now that we have an empty theme, let's generate the site again. + +``` +$ hugo --verbose +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/themes/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/static/ to /Users/quoha/Sites/zafta/public/ +WARN: 2014/09/29 Unable to locate layout: [404.html theme/404.html] +0 draft content +0 future content +0 pages created +0 tags created +0 categories created +in 2 ms +$ +``` + +Did you notice that the output is different? The warning message for the home page has disappeared and we have an additional information line saying that Hugo is syncing from the theme's directory. + +Let's check the public/ directory to see what Hugo's created. + +``` +$ ls -l public +total 16 +drwxr-xr-x 2 quoha staff 68 Sep 29 17:56 css +-rw-r--r-- 1 quoha staff 0 Sep 29 17:56 index.html +-rw-r--r-- 1 quoha staff 407 Sep 29 17:56 index.xml +drwxr-xr-x 2 quoha staff 68 Sep 29 17:56 js +-rw-r--r-- 1 quoha staff 243 Sep 29 17:56 sitemap.xml +$ +``` + +Notice four things: + +1. Hugo created a home page. This is the file public/index.html. +2. Hugo created a css/ directory. +3. Hugo created a js/ directory. +4. Hugo claimed that it created 0 pages. It created a file and copied over static files, but didn't create any pages. That's because it considers a "page" to be a file created directly from a content file. It doesn't count things like the index.html files that it creates automatically. + +#### The Home Page + +Hugo supports many different types of templates. The home page is special because it gets its own type of template and its own template file. The file, layouts/index.html, is used to generate the HTML for the home page. The Hugo documentation says that this is the only required template, but that depends. Hugo's warning message shows that it looks for three different templates: + +``` +WARN: 2014/09/29 Unable to locate layout: [index.html _default/list.html _default/single.html] +``` + +If it can't find any of these, it completely skips creating the home page. We noticed that when we built the site without having a theme installed. + +When Hugo created our theme, it created an empty home page template. Now, when we build the site, Hugo finds the template and uses it to generate the HTML for the home page. Since the template file is empty, the HTML file is empty, too. If the template had any rules in it, then Hugo would have used them to generate the home page. + +``` +$ find . -name index.html | xargs ls -l +-rw-r--r-- 1 quoha staff 0 Sep 29 20:21 ./public/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 ./themes/zafta/layouts/index.html +$ +``` + +#### The Magic of Static + +Hugo does two things when generating the site. It uses templates to transform content into HTML and it copies static files into the site. Unlike content, static files are not transformed. They are copied exactly as they are. + +Hugo assumes that your site will use both CSS and JavaScript, so it creates directories in your theme to hold them. Remember opinions? Well, Hugo's opinion is that you'll store your CSS in a directory named css/ and your JavaScript in a directory named js/. If you don't like that, you can change the directory names in your theme directory or even delete them completely. Hugo's nice enough to offer its opinion, then behave nicely if you disagree. + +``` +$ find themes/zafta -type d | xargs ls -ld +drwxr-xr-x 7 quoha staff 238 Sep 29 17:38 themes/zafta +drwxr-xr-x 3 quoha staff 102 Sep 29 17:31 themes/zafta/archetypes +drwxr-xr-x 5 quoha staff 170 Sep 29 17:31 themes/zafta/layouts +drwxr-xr-x 4 quoha staff 136 Sep 29 17:31 themes/zafta/layouts/_default +drwxr-xr-x 4 quoha staff 136 Sep 29 17:31 themes/zafta/layouts/partials +drwxr-xr-x 4 quoha staff 136 Sep 29 17:31 themes/zafta/static +drwxr-xr-x 2 quoha staff 68 Sep 29 17:31 themes/zafta/static/css +drwxr-xr-x 2 quoha staff 68 Sep 29 17:31 themes/zafta/static/js +$ +``` + +## The Theme Development Cycle + +When you're working on a theme, you will make changes in the theme's directory, rebuild the site, and check your changes in the browser. Hugo makes this very easy: + +1. Purge the public/ directory. +2. Run the built in web server in watch mode. +3. Open your site in a browser. +4. Update the theme. +5. Glance at your browser window to see changes. +6. Return to step 4. + +I’ll throw in one more opinion: never work on a theme on a live site. Always work on a copy of your site. Make changes to your theme, test them, then copy them up to your site. For added safety, use a tool like Git to keep a revision history of your content and your theme. Believe me when I say that it is too easy to lose both your mind and your changes. + +Check the main Hugo site for information on using Git with Hugo. + +### Purge the public/ Directory + +When generating the site, Hugo will create new files and update existing ones in the ```public/``` directory. It will not delete files that are no longer used. For example, files that were created in the wrong directory or with the wrong title will remain. If you leave them, you might get confused by them later. I recommend cleaning out your site prior to generating it. + +Note: If you're building on an SSD, you should ignore this. Churning on a SSD can be costly. + +### Hugo's Watch Option + +Hugo's "`--watch`" option will monitor the content/ and your theme directories for changes and rebuild the site automatically. + +### Live Reload + +Hugo's built in web server supports live reload. As pages are saved on the server, the browser is told to refresh the page. Usually, this happens faster than you can say, "Wow, that's totally amazing." + +### Development Commands + +Use the following commands as the basis for your workflow. + +``` +## purge old files. hugo will recreate the public directory. +## +$ rm -rf public +## +## run hugo in watch mode +## +$ hugo server --watch --verbose +``` + +Here's sample output showing Hugo detecting a change to the template for the home page. Once generated, the web browser automatically reloaded the page. I've said this before, it's amazing. + + +``` +$ rm -rf public +$ hugo server --watch --verbose +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/themes/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/static/ to /Users/quoha/Sites/zafta/public/ +WARN: 2014/09/29 Unable to locate layout: [404.html theme/404.html] +0 draft content +0 future content +0 pages created +0 tags created +0 categories created +in 2 ms +Watching for changes in /Users/quoha/Sites/zafta/content +Serving pages from /Users/quoha/Sites/zafta/public +Web Server is available at http://localhost:1313 +Press Ctrl+C to stop +INFO: 2014/09/29 File System Event: ["/Users/quoha/Sites/zafta/themes/zafta/layouts/index.html": MODIFY|ATTRIB] +Change detected, rebuilding site +WARN: 2014/09/29 Unable to locate layout: [404.html theme/404.html] +0 draft content +0 future content +0 pages created +0 tags created +0 categories created +in 1 ms +``` + +## Update the Home Page Template + +The home page is one of a few special pages that Hugo creates automatically. As mentioned earlier, it looks for one of three files in the theme's layout/ directory: + +1. index.html +2. _default/list.html +3. _default/single.html + +We could update one of the default templates, but a good design decision is to update the most specific template available. That's not a hard and fast rule (in fact, we'll break it a few times in this tutorial), but it is a good generalization. + +### Make a Static Home Page + +Right now, that page is empty because we don't have any content and we don't have any logic in the template. Let's change that by adding some text to the template. + +``` +$ vi themes/zafta/layouts/index.html +<!DOCTYPE html> +<html> +<body> + <p>hugo says hello!</p> +</body> +</html> +:wq +$ +``` + +Build the web site and then verify the results. + +``` +$ hugo --verbose +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/themes/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/static/ to /Users/quoha/Sites/zafta/public/ +WARN: 2014/09/29 Unable to locate layout: [404.html theme/404.html] +0 draft content +0 future content +0 pages created +0 tags created +0 categories created +in 2 ms +$ find public -type f -name '*.html' | xargs ls -l +-rw-r--r-- 1 quoha staff 78 Sep 29 21:26 public/index.html +$ cat public/index.html +<!DOCTYPE html> +<html> +<body> + <p>hugo says hello!</p> +</html> +``` + +#### Live Reload + +Note: If you're running the server with the `--watch` option, you'll see different content in the file: + +``` +$ cat public/index.html +<!DOCTYPE html> +<html> +<body> + <p>hugo says hello!</p> +<script>document.write('<script src="http://' + + (location.host || 'localhost').split(':')[0] + + ':1313/livereload.js?mindelay=10"></' + + 'script>')</script></body> +</html> +``` + +When you use `--watch`, the Live Reload script is added by Hugo. Look for live reload in the documentation to see what it does and how to disable it. + +### Build a "Dynamic" Home Page + +"Dynamic home page?" Hugo's a static web site generator, so this seems an odd thing to say. I mean let's have the home page automatically reflect the content in the site every time Hugo builds it. We'll use iteration in the template to do that. + +#### Create New Posts + +Now that we have the home page generating static content, let's add some content to the site. We'll display these posts as a list on the home page and on their own page, too. + +Hugo has a command to generate a skeleton post, just like it does for sites and themes. + +``` +$ hugo --verbose new post/first.md +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 attempting to create post/first.md of post +INFO: 2014/09/29 curpath: /Users/quoha/Sites/zafta/themes/zafta/archetypes/default.md +ERROR: 2014/09/29 Unable to Cast <nil> to map[string]interface{} +$ +``` + +That wasn't very nice, was it? + +The "new" command uses an archetype to create the post file. Hugo created an empty default archetype file, but that causes an error when there's a theme. For me, the workaround was to create an archetypes file specifically for the post type. + +``` +$ vi themes/zafta/archetypes/post.md ++++ +Description = "" +Tags = [] +Categories = [] ++++ +:wq +$ find themes/zafta/archetypes -type f | xargs ls -l +-rw-r--r-- 1 quoha staff 0 Sep 29 21:53 themes/zafta/archetypes/default.md +-rw-r--r-- 1 quoha staff 51 Sep 29 21:54 themes/zafta/archetypes/post.md +$ hugo --verbose new post/first.md +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 attempting to create post/first.md of post +INFO: 2014/09/29 curpath: /Users/quoha/Sites/zafta/themes/zafta/archetypes/post.md +INFO: 2014/09/29 creating /Users/quoha/Sites/zafta/content/post/first.md +/Users/quoha/Sites/zafta/content/post/first.md created +$ hugo --verbose new post/second.md +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 attempting to create post/second.md of post +INFO: 2014/09/29 curpath: /Users/quoha/Sites/zafta/themes/zafta/archetypes/post.md +INFO: 2014/09/29 creating /Users/quoha/Sites/zafta/content/post/second.md +/Users/quoha/Sites/zafta/content/post/second.md created +$ ls -l content/post +total 16 +-rw-r--r-- 1 quoha staff 104 Sep 29 21:54 first.md +-rw-r--r-- 1 quoha staff 105 Sep 29 21:57 second.md +$ cat content/post/first.md ++++ +Categories = [] +Description = "" +Tags = [] +date = "2014-09-29T21:54:53-05:00" +title = "first" ++++ +my first post +$ cat content/post/second.md ++++ +Categories = [] +Description = "" +Tags = [] +date = "2014-09-29T21:57:09-05:00" +title = "second" ++++ +my second post +$ +``` + +Build the web site and then verify the results. + +``` +$ rm -rf public +$ hugo --verbose +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/themes/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 found taxonomies: map[string]string{"category":"categories", "tag":"tags"} +WARN: 2014/09/29 Unable to locate layout: [404.html theme/404.html] +0 draft content +0 future content +2 pages created +0 tags created +0 categories created +in 4 ms +$ +``` + +The output says that it created 2 pages. Those are our new posts: + +``` +$ find public -type f -name '*.html' | xargs ls -l +-rw-r--r-- 1 quoha staff 78 Sep 29 22:13 public/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 22:13 public/post/first/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 22:13 public/post/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 22:13 public/post/second/index.html +$ +``` + +The new files are empty because because the templates used to generate the content are empty. The homepage doesn't show the new content, either. We have to update the templates to add the posts. + +### List and Single Templates + +In Hugo, we have three major kinds of templates. There's the home page template that we updated previously. It is used only by the home page. We also have "single" templates which are used to generate output for a single content file. We also have "list" templates that are used to group multiple pieces of content before generating output. + +Generally speaking, list templates are named "list.html" and single templates are named "single.html." + +There are three other types of templates: partials, content views, and terms. We will not go into much detail on these. + +### Add Content to the Homepage + +The home page will contain a list of posts. Let's update its template to add the posts that we just created. The logic in the template will run every time we build the site. + +``` +$ vi themes/zafta/layouts/index.html +<!DOCTYPE html> +<html> +<body> + {{ range first 10 .Data.Pages }} + <h1>{{ .Title }}</h1> + {{ end }} +</body> +</html> +:wq +$ +``` + +Hugo uses the Go template engine. That engine scans the template files for commands which are enclosed between "{{" and "}}". In our template, the commands are: + +1. range +2. .Title +3. end + +The "range" command is an iterator. We're going to use it to go through the first ten pages. Every HTML file that Hugo creates is treated as a page, so looping through the list of pages will look at every file that will be created. + +The ".Title" command prints the value of the "title" variable. Hugo pulls it from the front matter in the Markdown file. + +The "end" command signals the end of the range iterator. The engine loops back to the top of the iteration when it finds "end." Everything between the "range" and "end" is evaluated every time the engine goes through the iteration. In this file, that would cause the title from the first ten pages to be output as heading level one. + +It's helpful to remember that some variables, like .Data, are created before any output files. Hugo loads every content file into the variable and then gives the template a chance to process before creating the HTML files. + +Build the web site and then verify the results. + +``` +$ rm -rf public +$ hugo --verbose +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/themes/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 found taxonomies: map[string]string{"tag":"tags", "category":"categories"} +WARN: 2014/09/29 Unable to locate layout: [404.html theme/404.html] +0 draft content +0 future content +2 pages created +0 tags created +0 categories created +in 4 ms +$ find public -type f -name '*.html' | xargs ls -l +-rw-r--r-- 1 quoha staff 94 Sep 29 22:23 public/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 22:23 public/post/first/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 22:23 public/post/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 22:23 public/post/second/index.html +$ cat public/index.html +<!DOCTYPE html> +<html> +<body> + <h1>second</h1> + <h1>first</h1> +</body> +</html> +$ +``` + +Congratulations, the home page shows the title of the two posts. The posts themselves are still empty, but let's take a moment to appreciate what we've done. Your template now generates output dynamically. Believe it or not, by inserting the range command inside of those curly braces, you've learned everything you need to know to build a theme. All that's really left is understanding which template will be used to generate each content file and becoming familiar with the commands for the template engine. + +And, if that were entirely true, this tutorial would be much shorter. There are a few things to know that will make creating a new template much easier. Don't worry, though, that's all to come. + +### Add Content to the Posts + +We're working with posts, which are in the content/post/ directory. That means that their section is "post" (and if we don't do something weird, their type is also "post"). + +Hugo uses the section and type to find the template file for every piece of content. Hugo will first look for a template file that matches the section or type name. If it can't find one, then it will look in the _default/ directory. There are some twists that we'll cover when we get to categories and tags, but for now we can assume that Hugo will try post/single.html, then _default/single.html. + +Now that we know the search rule, let's see what we actually have available: + +``` +$ find themes/zafta -name single.html | xargs ls -l +-rw-r--r-- 1 quoha staff 132 Sep 29 17:31 themes/zafta/layouts/_default/single.html +``` + +We could create a new template, post/single.html, or change the default. Since we don't know of any other content types, let's start with updating the default. + +Remember, any content that we haven't created a template for will end up using this template. That can be good or bad. Bad because I know that we're going to be adding different types of content and we're going to end up undoing some of the changes we've made. It's good because we'll be able to see immediate results. It's also good to start here because we can start to build the basic layout for the site. As we add more content types, we'll refactor this file and move logic around. Hugo makes that fairly painless, so we'll accept the cost and proceed. + +Please see the Hugo documentation on template rendering for all the details on determining which template to use. And, as the docs mention, if you're building a single page application (SPA) web site, you can delete all of the other templates and work with just the default single page. That's a refreshing amount of joy right there. + +#### Update the Template File + +``` +$ vi themes/zafta/layouts/_default/single.html +<!DOCTYPE html> +<html> +<head> + <title>{{ .Title }}</title> +</head> +<body> + <h1>{{ .Title }}</h1> + {{ .Content }} +</body> +</html> +:wq +$ +``` + +Build the web site and verify the results. + +``` +$ rm -rf public +$ hugo --verbose +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/themes/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 found taxonomies: map[string]string{"tag":"tags", "category":"categories"} +WARN: 2014/09/29 Unable to locate layout: [404.html theme/404.html] +0 draft content +0 future content +2 pages created +0 tags created +0 categories created +in 4 ms +$ find public -type f -name '*.html' | xargs ls -l +-rw-r--r-- 1 quoha staff 94 Sep 29 22:40 public/index.html +-rw-r--r-- 1 quoha staff 125 Sep 29 22:40 public/post/first/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 22:40 public/post/index.html +-rw-r--r-- 1 quoha staff 128 Sep 29 22:40 public/post/second/index.html +$ cat public/post/first/index.html +<!DOCTYPE html> +<html> +<head> + <title>first</title> +</head> +<body> + <h1>first</h1> + <p>my first post</p> +</body> +</html> +$ cat public/post/second/index.html +<!DOCTYPE html> +<html> +<head> + <title>second</title> +</head> +<body> + <h1>second</h1> + <p>my second post</p> +</body> +</html> +$ +``` + +Notice that the posts now have content. You can go to localhost:1313/post/first to verify. + +### Linking to Content + +The posts are on the home page. Let's add a link from there to the post. Since this is the home page, we'll update its template. + +``` +$ vi themes/zafta/layouts/index.html +<!DOCTYPE html> +<html> +<body> + {{ range first 10 .Data.Pages }} + <h1><a href="{{ .Permalink }}">{{ .Title }}</a></h1> + {{ end }} +</body> +</html> +``` + +Build the web site and verify the results. + +``` +$ rm -rf public +$ hugo --verbose +INFO: 2014/09/29 Using config file: /Users/quoha/Sites/zafta/config.toml +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/themes/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 syncing from /Users/quoha/Sites/zafta/static/ to /Users/quoha/Sites/zafta/public/ +INFO: 2014/09/29 found taxonomies: map[string]string{"tag":"tags", "category":"categories"} +WARN: 2014/09/29 Unable to locate layout: [404.html theme/404.html] +0 draft content +0 future content +2 pages created +0 tags created +0 categories created +in 4 ms +$ find public -type f -name '*.html' | xargs ls -l +-rw-r--r-- 1 quoha staff 149 Sep 29 22:44 public/index.html +-rw-r--r-- 1 quoha staff 125 Sep 29 22:44 public/post/first/index.html +-rw-r--r-- 1 quoha staff 0 Sep 29 22:44 public/post/index.html +-rw-r--r-- 1 quoha staff 128 Sep 29 22:44 public/post/second/index.html +$ cat public/index.html +<!DOCTYPE html> +<html> +<body> + <h1><a href="/post/second/">second</a></h1> + <h1><a href="/post/first/">first</a></h1> +</body> +</html> +$ +``` + +### Create a Post Listing + +We have the posts displaying on the home page and on their own page. We also have a file public/post/index.html that is empty. Let's make it show a list of all posts (not just the first ten). + +We need to decide which template to update. This will be a listing, so it should be a list template. Let's take a quick look and see which list templates are available. + +``` +$ find themes/zafta -name list.html | xargs ls -l +-rw-r--r-- 1 quoha staff 0 Sep 29 17:31 themes/zafta/layouts/_default/list.html +``` + +As with the single post, we have to decide to update _default/list.html or create post/list.html. We still don't have multiple content types, so let's stay consistent and update the default list template. + +## Creating Top Level Pages + +Let's add an "about" page and display it at the top level (as opposed to a sub-level like we did with posts). + +The default in Hugo is to use the directory structure of the content/ directory to guide the location of the generated html in the public/ directory. Let's verify that by creating an "about" page at the top level: + +``` +$ vi content/about.md ++++ +title = "about" +description = "about this site" +date = "2014-09-27" +slug = "about time" ++++ +## about us +i'm speechless +:wq +``` + +Generate the web site and verify the results. + +``` +$ find public -name '*.html' | xargs ls -l +-rw-rw-r-- 1 mdhender staff 334 Sep 27 15:08 public/about-time/index.html +-rw-rw-r-- 1 mdhender staff 527 Sep 27 15:08 public/index.html +-rw-rw-r-- 1 mdhender staff 358 Sep 27 15:08 public/post/first-post/index.html +-rw-rw-r-- 1 mdhender staff 0 Sep 27 15:08 public/post/index.html +-rw-rw-r-- 1 mdhender staff 342 Sep 27 15:08 public/post/second-post/index.html +``` + +Notice that the page wasn't created at the top level. It was created in a sub-directory named 'about-time/'. That name came from our slug. Hugo will use the slug to name the generated content. It's a reasonable default, by the way, but we can learn a few things by fighting it for this file. + +One other thing. Take a look at the home page. + +``` +$ cat public/index.html +<!DOCTYPE html> +<html> +<body> + <h1><a href="http://localhost:1313/post/theme/">creating a new theme</a></h1> + <h1><a href="http://localhost:1313/about-time/">about</a></h1> + <h1><a href="http://localhost:1313/post/second-post/">second</a></h1> + <h1><a href="http://localhost:1313/post/first-post/">first</a></h1> +<script>document.write('<script src="http://' + + (location.host || 'localhost').split(':')[0] + + ':1313/livereload.js?mindelay=10"></' + + 'script>')</script></body> +</html> +``` + +Notice that the "about" link is listed with the posts? That's not desirable, so let's change that first. + +``` +$ vi themes/zafta/layouts/index.html +<!DOCTYPE html> +<html> +<body> + <h1>posts</h1> + {{ range first 10 .Data.Pages }} + {{ if eq .Type "post"}} + <h2><a href="{{ .Permalink }}">{{ .Title }}</a></h2> + {{ end }} + {{ end }} + <h1>pages</h1> + {{ range .Data.Pages }} + {{ if eq .Type "page" }} + <h2><a href="{{ .Permalink }}">{{ .Title }}</a></h2> + {{ end }} + {{ end }} +</body> +</html> +:wq +``` + +Generate the web site and verify the results. The home page has two sections, posts and pages, and each section has the right set of headings and links in it. + +But, that about page still renders to about-time/index.html. + +``` +$ find public -name '*.html' | xargs ls -l +-rw-rw-r-- 1 mdhender staff 334 Sep 27 15:33 public/about-time/index.html +-rw-rw-r-- 1 mdhender staff 645 Sep 27 15:33 public/index.html +-rw-rw-r-- 1 mdhender staff 358 Sep 27 15:33 public/post/first-post/index.html +-rw-rw-r-- 1 mdhender staff 0 Sep 27 15:33 public/post/index.html +-rw-rw-r-- 1 mdhender staff 342 Sep 27 15:33 public/post/second-post/index.html +``` + +Knowing that hugo is using the slug to generate the file name, the simplest solution is to change the slug. Let's do it the hard way and change the permalink in the configuration file. + +``` +$ vi config.toml +[permalinks] + page = "/:title/" + about = "/:filename/" +``` + +Generate the web site and verify that this didn't work. Hugo lets "slug" or "URL" override the permalinks setting in the configuration file. Go ahead and comment out the slug in content/about.md, then generate the web site to get it to be created in the right place. + +## Sharing Templates + +If you've been following along, you probably noticed that posts have titles in the browser and the home page doesn't. That's because we didn't put the title in the home page's template (layouts/index.html). That's an easy thing to do, but let's look at a different option. + +We can put the common bits into a shared template that's stored in the themes/zafta/layouts/partials/ directory. + +### Create the Header and Footer Partials + +In Hugo, a partial is a sugar-coated template. Normally a template reference has a path specified. Partials are different. Hugo searches for them along a TODO defined search path. This makes it easier for end-users to override the theme's presentation. + +``` +$ vi themes/zafta/layouts/partials/header.html +<!DOCTYPE html> +<html> +<head> + <title>{{ .Title }}</title> +</head> +<body> +:wq +$ vi themes/zafta/layouts/partials/footer.html +</body> +</html> +:wq +``` + +### Update the Home Page Template to Use the Partials + +The most noticeable difference between a template call and a partials call is the lack of path: + +``` +{{ template "theme/partials/header.html" . }} +``` +versus +``` +{{ partial "header.html" . }} +``` +Both pass in the context. + +Let's change the home page template to use these new partials. + +``` +$ vi themes/zafta/layouts/index.html +{{ partial "header.html" . }} + <h1>posts</h1> + {{ range first 10 .Data.Pages }} + {{ if eq .Type "post"}} + <h2><a href="{{ .Permalink }}">{{ .Title }}</a></h2> + {{ end }} + {{ end }} + <h1>pages</h1> + {{ range .Data.Pages }} + {{ if or (eq .Type "page") (eq .Type "about") }} + <h2><a href="{{ .Permalink }}">{{ .Type }} - {{ .Title }} - {{ .RelPermalink }}</a></h2> + {{ end }} + {{ end }} +{{ partial "footer.html" . }} +:wq +``` + +Generate the web site and verify the results. The title on the home page is now "your title here", which comes from the "title" variable in the config.toml file. + +### Update the Default Single Template to Use the Partials + +``` +$ vi themes/zafta/layouts/_default/single.html +{{ partial "header.html" . }} + <h1>{{ .Title }}</h1> + {{ .Content }} +{{ partial "footer.html" . }} +:wq +``` + +Generate the web site and verify the results. The title on the posts and the about page should both reflect the value in the markdown file. + +## Add “Date Published” to Posts + +It's common to have posts display the date that they were written or published, so let's add that. The front matter of our posts has a variable named "date." It's usually the date the content was created, but let's pretend that's the value we want to display. + +### Add “Date Published” to the Template + +We'll start by updating the template used to render the posts. The template code will look like: + +``` +{{ .Date.Format "Mon, Jan 2, 2006" }} +``` + +Posts use the default single template, so we'll change that file. + +``` +$ vi themes/zafta/layouts/_default/single.html +{{ partial "header.html" . }} + <h1>{{ .Title }}</h1> + <h2>{{ .Date.Format "Mon, Jan 2, 2006" }}</h2> + {{ .Content }} +{{ partial "footer.html" . }} +:wq +``` + +Generate the web site and verify the results. The posts now have the date displayed in them. There's a problem, though. The "about" page also has the date displayed. + +As usual, there are a couple of ways to make the date display only on posts. We could do an "if" statement like we did on the home page. Another way would be to create a separate template for posts. + +The "if" solution works for sites that have just a couple of content types. It aligns with the principle of "code for today," too. + +Let's assume, though, that we've made our site so complex that we feel we have to create a new template type. In Hugo-speak, we're going to create a section template. + +Let's restore the default single template before we forget. + +``` +$ mkdir themes/zafta/layouts/post +$ vi themes/zafta/layouts/_default/single.html +{{ partial "header.html" . }} + <h1>{{ .Title }}</h1> + {{ .Content }} +{{ partial "footer.html" . }} +:wq +``` + +Now we'll update the post's version of the single template. If you remember Hugo's rules, the template engine will use this version over the default. + +``` +$ vi themes/zafta/layouts/post/single.html +{{ partial "header.html" . }} + <h1>{{ .Title }}</h1> + <h2>{{ .Date.Format "Mon, Jan 2, 2006" }}</h2> + {{ .Content }} +{{ partial "footer.html" . }} +:wq +``` + +Note that we removed the date logic from the default template and put it in the post template. Generate the web site and verify the results. Posts have dates and the about page doesn't. + +### Don't Repeat Yourself + +DRY is a good design goal and Hugo does a great job supporting it. Part of the art of a good template is knowing when to add a new template and when to update an existing one. While you're figuring that out, accept that you'll be doing some refactoring. Hugo makes that easy and fast, so it's okay to delay splitting up a template. diff --git a/content/third.md b/content/third.md new file mode 100644 index 0000000..d50664f --- /dev/null +++ b/content/third.md @@ -0,0 +1,441 @@ +--- +title: "Making a Verlet Physics Engine in Javascript" +date: 2020-08-14T13:22:10+05:30 +draft: true +subtitle: "Javascript" +tags: + - markdown + - css + - blog +bg_image: "images/bg-image-4.jpg" +--- + +Have you ever wondered if you can make your own physics engine in JavaScript? If so, you have come to the right place. We are going to build a Physics engine from scratch in JavaScript. + +Before we start, I should mention that this tutorial assumes you have a good understanding of Vectors. +Don’t worry if you do not yet have this understanding — Vectors are simple: get the Vector.js. + +## What Is Verlet Physics? + +According to Wikipedia: + +> Verlet integration is a numerical method used to integrate Newton’s equations of motion. It is frequently used to calculate trajectories of particles in molecular dynamics simulations and computer graphics. The algorithm was first used in 1791 by Delambre and has been rediscovered many times since then, most recently by Loup Verlet in the 1960s for use in molecular dynamics. +In simple terms, Verlet physics is just a system of connected dots. + +### In a Verlet system, we have 2 main components: + +1. Points (dots) +2. Constraints (sticks) + + + +## Dots + +The dots have basic physics applied to them. +We have to keep track of the dots’ current and old positions to add the physics behavior to them — you'll see this when we implement it. + +```js {4-5} +// Dot.js +class Dot { + constructor(x, y) { + this.pos = new Vector(x, y) + this.oldpos = new Vector(x, y) + this.friction = 0.97 + this.groundFriction = 0.7 + this.gravity = new Vector(0, 1) + this.radius = 5 + this.color = "#e62a4f" + this.mass = 1 + } +} +``` + +We have the basic setup, now let's render the dots and make them move. + +```js {3,12-13} +// Dot.js +update() { + let vel = Vector.sub(this.pos, this.oldpos); + vel.mult(this.friction); + // if the point touches the ground set groundFriction + if (this.pos.y >= CANVAS_HEIGHT - this.radius && vel.magSq() > 0.000001) { + var m = vel.mag(); + vel.x /= m; + vel.y /= m; + vel.mult(m * this.groundFriction); + } + this.oldpos.setXY(this.pos.x, this.pos.y); + this.pos.add(vel); + this.pos.add(this.gravity); +} +``` + +The update function will update the position and handle the physics of the dot. + +To do Verlet integration, we have to calculate velocity based on dots old position. + +In the first line, we are **subtracting the current position from the old position to get the desired velocity.** After calculating the velocity, we apply friction to the dots, so they come to rest instead of sliding forever. + +Then, we update the old position by saying `this.oldpos.setXY(this.pos.x, this.pos.y)` and add the velocity and gravity to the position. + +We also want to make them stay inside the canvas, so we have to add some checks. We will also add another function: `constrain()`: + +```js +// Dot.js +constrain() { + if (this.pos.x > CANVAS_WIDTH - this.radius) { + this.pos.x = CANVAS_WIDTH - this.radius; + } + if (this.pos.x < this.radius) { + this.pos.x = this.radius; + } + if (this.pos.y > CANVAS_HEIGHT - this.radius) { + this.pos.y = CANVAS_HEIGHT - this.radius; + } + if (this.pos.y < this.radius) { + this.pos.y = this.radius; + } +}; +``` + +Let’s add the render method too: + +```js +// Dot.js +render() { + ctx.beginPath(); + ctx.fillStyle = this.color; + ctx.arc(this.pos.x, this.pos.y, this.radius, 0, Math.PI * 2); + ctx.fill(); + ctx.closePath(); +} +``` + +Setting up: + +```js {13,20-24} +// index.js | setup +let canvas = document.getElementById("c") +let ctx = canvas.getContext("2d") +let CANVAS_WIDTH = window.innerWidth +let CANVAS_HEIGHT = window.innerHeight +canvas.width = CANVAS_WIDTH +canvas.height = CANVAS_HEIGHT +let dots = [] +for (let i = 0; i < 50; i++) { + dots.push( + new Dot(Math.random() * CANVAS_WIDTH, Math.random() * CANVAS_HEIGHT) + ) +} +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT) + for (let d of dots) { + d.update() + d.constrain() + d.render(ctx) + } + requestAnimationFrame(animate) +} +animate() +``` + +We added a lot more dots in random positions and then `update()` `constrain()` `render()` them. + +Let's see what that looks like: + +https://codepen.io/anuraghazra/pen/VOpJJR?default-tab=results + +Excellent — it's just a start, but finally, we have something. + +Now we are going to add the sticks! + +## Sticks + +Sticks are the core of Verlet physics. Sticks make sure that the dots don’t get too far or too close to each other — they constrain dots to a certain distance. + + + +**Stick.js** class is relatively simple. It will take two **Dots** as an argument and a length. But if the length is not defined, we will calculate the length based on the dot’s position. + +```js {11,4-5} +// Stick.js +class Stick { + constructor(p1, p2, length) { + this.startPoint = p1 + this.endPoint = p2 + this.stiffness = 2 + this.color = "#f5476a" + // if the length is not given then calculate the distance based on the position + if (!length) { + this.length = this.startPoint.pos.dist(this.endPoint.pos) + } else { + this.length = length + } + } +} +``` + +Now let's add the actual core of the algorithm, This resolves and updates the dot’s position based on the stick’s distance, ultimately constraining it to a certain distance from all other dots. + +```js +// Stick.js +update() { + // calculate the distance between two dots + let dx = this.endPoint.pos.x - this.startPoint.pos.x; + let dy = this.endPoint.pos.y - this.startPoint.pos.y; + // pythagoras theorem + let dist = Math.sqrt(dx * dx + dy * dy); + // calculate the resting distance betwen the dots + let diff = (this.length - dist) / dist * this.stiffness; + // getting the offset of the points + let offsetx = dx * diff * 0.5; + let offsety = dy * diff * 0.5; + // calculate mass + let m1 = this.startPoint.mass + this.endPoint.mass; + let m2 = this.startPoint.mass / m1; + m1 = this.endPoint.mass / m1; + // and finally apply the offset with calculated mass + if (!this.startPoint.pinned) { + this.startPoint.pos.x -= offsetx * m1; + this.startPoint.pos.y -= offsety * m1; + } + if (!this.endPoint.pinned) { + this.endPoint.pos.x += offsetx * m2; + this.endPoint.pos.y += offsety * m2; + } +} +``` + +Okay, I think we are good to go! Let’s add the render function: + +```js +// Stick.js +render(ctx) { + ctx.beginPath(); + ctx.strokeStyle = this.color; + ctx.moveTo(this.startPoint.pos.x, this.startPoint.pos.y); + ctx.lineTo(this.endPoint.pos.x, this.endPoint.pos.y); + ctx.stroke(); + ctx.closePath(); +} +``` + +Setting up: + +```js {11,20-24,34-37} +// index.js | setup +let canvas = document.getElementById("c"); +let ctx = canvas.getContext("2d"); +let CANVAS_WIDTH = window.innerWidth; +let CANVAS_HEIGHT = window.innerHeight; +canvas.width = CANVAS_WIDTH; +canvas.height = CANVAS_HEIGHT; +// arrays +let dots = []; +let sticks = []; +// forming a BOX +dots.push(new Dot(100, 100, (Math.random() - 0.5) * 100.0); // x, y, vx, vy +dots.push(new Dot(200, 100)); +dots.push(new Dot(200, 200)); +dots.push(new Dot(100, 200)); +// sticks +sticks.push(new Stick(dots[0], dots[1])) +sticks.push(new Stick(dots[1], dots[2])) +sticks.push(new Stick(dots[2], dots[3])) +sticks.push(new Stick(dots[3], dots[0])) +sticks.push(new Stick(dots[3], dots[1])) +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT); + for (let d of dots) { + d.update(); + d.constrain(); + d.render(ctx); + } + for (let s of sticks) { + s.update(); + s.render(ctx); + } + requestAnimationFrame(animate); +} +animate(); +``` + +Let’s see the results: + +https://codepen.io/anuraghazra/pen/qGmWmZ?default-tab=results + +As you can see, we have a box! Well, a box that acts like it’s made of Jello, That’s because, in a single frame, one update per stick is not enough to make the dots rest at their length. We have to iterate the simulation as many times as we can — the more the iterations, the more the rigid box will be. + +Adding these lines to the existing code will make the box rigid: + +```js {2,8} +// index.js | setup +const ITERATION = 100 // max physics iterations per frame +function animate() { + ctx.clearRect(0, 0, CANVAS_WIDTH, CANVAS_HEIGHT) + // iterate over the simulation + for (let i = 0; i < ITERATION; i++) { + for (let d of dots) { + d.constrain() + } + for (let s of sticks) { + s.update() + } + } + for (let d of dots) { + d.update() + d.render(ctx) + } + for (let s of sticks) { + s.update() + s.render(ctx) + } + requestAnimationFrame(animate) +} +animate() +``` + +https://codepen.io/anuraghazra/pen/gJWpmX?default-tab=results + +Looks amazing, isn’t it? + +## Entity.js: managing dots and sticks in one place + +Okay, now we have Dot.js and Stick.js. Both are working nicely, but the problem is we don't have much control over how we use them. + +We will create an Entity Class that will easily handle the Updates and Renders of the Verlet Object. I'm going to paste the whole code here — it’s nothing special: + +```js +// Entity.js +class Entity { + constructor(iterations) { + this.dots = [] + this.sticks = [] + this.iterations = iterations || 16 + } + addDot(x, y, vx, vy) { + this.dots.push(new Dot(x, y, vx, vy)) + } + addStick(p1, p2, length) { + this.sticks.push(new Stick(this.dots[p1], this.dots[p2], length)) + } + updatePoints() { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].update() + } + } + updateSticks() { + for (let i = 0; i < this.sticks.length; i++) { + this.sticks[i].update() + } + } + updateContrains() { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].constrain() + } + } + renderPoints(ctx) { + for (let i = 0; i < this.dots.length; i++) { + this.dots[i].render(ctx) + } + } + renderSticks(ctx) { + for (let i = 0; i < this.sticks.length; i++) { + this.sticks[i].render(ctx) + } + } + update(ctx) { + this.updatePoints() + for (let j = 0; j < this.iterations; j++) { + this.updateSticks() + this.updateContrains() + } + this.renderPoints(ctx) + this.renderSticks(ctx) + } +} +``` + +Using the Entity Class: + +```js +// index.js | setup +... +let box = new Entity(100) +// x, y, vx, vy added random velocity in first dot to make the box rotate a little bit +box.addDot(100, 100, (Math.random() - 0.5) * 100.0) +box.addDot(200, 100) +box.addDot(200, 200) +box.addDot(100, 200) +box.addStick(0, 1) +box.addStick(1, 2) +box.addStick(2, 3) +box.addStick(3, 0) +box.addStick(3, 1) +... +``` + +Yes, this is looking pretty clean and manageable! + +Let's take a look at the final result: + +https://codepen.io/anuraghazra/pen/JqNdQW?default-tab=results + +Now we can create lots of fun Verlet Shapes with this Entity.js class! + +## Verly.js: A physics engine I wrote + +Verly.js is a Robust Verlet physics engine I wrote. It has many cool features: + +1. Attraction — Repulsion behavior +2. Basic Shapes +3. Box, Hexagon, Cloth, Rope, Ragdoll +4. Cloth Tearing +5. Typography and Text + +With Verly.js you can create a tearable cloth in just 15 lines of code: + +```js {7-8,12-13} +// Verly.js | demo +let canvas = document.getElementById("c") +let ctx = canvas.getContext("2d") +let width = (canvas.width = 800) +let height = (canvas.height = 600) +let verly = new Verly(16) +let cloth = verly.createCloth(150, 150, 250, 250, 15, 2) +function animate() { + ctx.clearRect(0, 0, width, height) + verly.update() + cloth.tear(100) // tear threshold + requestAnimationFrame(animate) +} +animate() +``` + +Demo: https://anuraghazra.github.io/Verly.js/ + +Source-code: https://github.com/anuraghazra/Verly.js + +Examples: https://anuraghazra.github.io/Verly.js/examples + +Take a look at some of the examples in my Verly.js Physics Engine, which I created some time ago. I added almost everything in that engine. + + + + + + +Codepen examples: + +https://codepen.io/anuraghazra/pen/vwmLKo?default-tab=results + +Verly.js’s API is easy to use and flexible because of its Entity Component Structure. + +Thanks for reading — I hope you learned something! + +------ + +### Other places to learn about Verlet physics: + +> [Keith Peter’s CodingMath Verlet Physics Videos.](https://www.youtube.com/watch?v=3HjO_RGIjCU) +> Amazing [Article At DataGenetic](http://datagenetics.com/blog/july22018/index.html)
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