{{meta {load_files: ["code/chapter/16_game.js", "code/levels.js", "code/_stop_keys.js", "code/chapter/17_canvas.js"], zip: "html include=["img/player.png", "img/sprites.png"]"}}}
{{quote {author: "M.C. Escher", title: "cited by Bruno Ernst in The Magic Mirror of M.C. Escher", chapter: true}
Drawing is deception.
quote}}
{{index "Escher, M.C."}}
{{figure {url: "img/chapter_picture_17.jpg", alt: "Illustration showing an industrial-looking robot arm drawing a city on a piece of paper", chapter: "framed"}}}
{{index CSS, "transform (CSS)", [DOM, graphics]}}
Browsers give us several ways to display ((graphics)). The simplest way is to use styles to position and color regular DOM elements. This can get us quite far, as the game in the previous chapter showed. By adding partially transparent background ((image))s to the nodes, we can make them look exactly the way we want. It is even possible to rotate or skew nodes with the transform style.
But we'd be using the DOM for something that it wasn't originally designed for. Some tasks, such as drawing a ((line)) between arbitrary points, are extremely awkward to do with regular HTML elements.
{{index SVG, "img (HTML tag)"}}
There are two alternatives. The first is DOM based but utilizes Scalable Vector Graphics (SVG) rather than HTML. Think of SVG as a ((document))-markup dialect that focuses on ((shape))s rather than text. You can embed an SVG document directly in an HTML document or include it with an <img> tag.
{{index clearing, [DOM graphics], [interface, canvas]}}
The second alternative is called a ((canvas)). A canvas is a single DOM element that encapsulates a ((picture)). It provides a programming interface for drawing ((shape))s onto the space taken up by the node. The main difference between a canvas and an SVG picture is that in SVG the original description of the shapes is preserved so that they can be moved or resized at any time. A canvas, on the other hand, converts the shapes to ((pixel))s (colored dots on a raster) as soon as they are drawn and does not remember what these pixels represent. The only way to move a shape on a canvas is to clear the canvas (or the part of the canvas around the shape) and redraw it with the shape in a new position.
This book won't go into ((SVG)) in detail, but I'll briefly explain how it works. At the end of the chapter, I'll come back to the trade-offs that you must consider when deciding which ((drawing)) mechanism is appropriate for a given application.
This is an HTML document with a simple SVG ((picture)) in it:
<p>Normal HTML here.</p>
<svg xmlns="http://www.w3.org/2000/svg">
<circle r="50" cx="50" cy="50" fill="red"/>
<rect x="120" y="5" width="90" height="90"
stroke="blue" fill="none"/>
</svg>
{{index "circle (SVG tag)", "rect (SVG tag)", "XML namespace", XML, "xmlns attribute"}}
The xmlns attribute changes an element (and its children) to a different XML namespace. This namespace, identified by a ((URL)), specifies the dialect that we are currently speaking. The <circle> and <rect> tags, which do not exist in HTML, do have a meaning in SVG—they draw shapes using the style and position specified by their attributes.
{{if book
The document is displayed like this:
{{figure {url: "img/svg-demo.png", alt: "Screenshot showing an SVG image embedded in an HTML document", width: "4.5cm"}}}
if}}
{{index [DOM, graphics]}}
These tags create DOM elements, just like HTML tags, that scripts can interact with. For example, this changes the <circle> element to be ((color))ed cyan instead:
let circle = document.querySelector("circle");
circle.setAttribute("fill", "cyan");
{{index [canvas, size], "canvas (HTML tag)"}}
Canvas ((graphics)) can be drawn onto a <canvas> element. You can give such an element width and height attributes to determine its size in ((pixel))s.
A new canvas is empty, meaning it is entirely ((transparent)) and thus shows up as empty space in the document.
{{index "2d (canvas context)", "webgl (canvas context)", OpenGL, [canvas, context], dimensions, [interface, canvas]}}
The <canvas> tag is intended to allow different styles of ((drawing)). To get access to an actual drawing interface, we first need to create a ((context)), an object whose methods provide the drawing interface. There are currently three widely supported drawing styles: "2d" for two-dimensional graphics, "webgl" for three-dimensional graphics through the OpenGL interface, and "webgpu", a more modern and flexible alternative to WebGL.
{{index rendering, graphics, efficiency}}
This book won't discuss WebGL or WebGPU—we'll stick to two dimensions. But if you are interested in three-dimensional graphics, I do encourage you to look into WebGPU. It provides a direct interface to graphics hardware and allows you to render even complicated scenes efficiently, using JavaScript.
{{index "getContext method", [canvas, context]}}
You create a ((context)) with the getContext method on the <canvas> DOM element.
<p>Before canvas.</p>
<canvas width="120" height="60"></canvas>
<p>After canvas.</p>
<script>
let canvas = document.querySelector("canvas");
let context = canvas.getContext("2d");
context.fillStyle = "red";
context.fillRect(10, 10, 100, 50);
</script>
After creating the context object, the example draws a red ((rectangle)) that is 100 ((pixel))s wide and 50 pixels high, with its upper-left corner at coordinates (10, 10).
{{if book
{{figure {url: "img/canvas_fill.png", alt: "Screenshot of a canvas with a rectangle on it", width: "2.5cm"}}}
if}}
{{index SVG, coordinates}}
Just like in HTML (and SVG), the coordinate system that the canvas uses puts (0, 0) at the upper-left corner, and the positive y-((axis)) goes down from there. This means (10, 10) is 10 pixels below and to the right of the upper-left corner.
{{id fill_stroke}}
{{index filling, stroking, drawing, SVG}}
In the ((canvas)) interface, a shape can be filled, meaning its area is given a certain color or pattern, or it can be stroked, which means a ((line)) is drawn along its edge. SVG uses the same terminology.
{{index "fillRect method", "strokeRect method"}}
The fillRect method fills a ((rectangle)). It takes first the x- and y-((coordinates)) of the rectangle's upper-left corner, then its width, and then its height. A similar method called strokeRect draws the ((outline)) of a rectangle.
{{index [state, "of canvas"]}}
Neither method takes any further parameters. The color of the fill, thickness of the stroke, and so on, are not determined by an argument to the method, as you might reasonably expect, but rather by properties of the context object.
{{index filling, "fillStyle property"}}
The fillStyle property controls the way shapes are filled. It can be set to a string that specifies a ((color)), using the color notation used by ((CSS)).
{{index stroking, "line width", "strokeStyle property", "lineWidth property", canvas}}
The strokeStyle property works similarly but determines the color used for a stroked line. The width of that line is determined by the lineWidth property, which may contain any positive number.
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
cx.strokeStyle = "blue";
cx.strokeRect(5, 5, 50, 50);
cx.lineWidth = 5;
cx.strokeRect(135, 5, 50, 50);
</script>
{{if book
This code draws two blue squares, using a thicker line for the second one.
{{figure {url: "img/canvas_stroke.png", alt: "Screenshot showing two outlined squares", width: "5cm"}}}
if}}
{{index "default value", [canvas, size]}}
When no width or height attribute is specified, as in the example, a canvas element gets a default width of 300 pixels and height of 150 pixels.
{{index [path, canvas], [interface, design], [canvas, path]}}
A path is a sequence of ((line))s. The 2D canvas interface takes a peculiar approach to describing such a path. It is done entirely through ((side effect))s. Paths are not values that can be stored and passed around. Instead, if you want to do something with a path, you make a sequence of method calls to describe its shape.
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
cx.beginPath();
for (let y = 10; y < 100; y += 10) {
cx.moveTo(10, y);
cx.lineTo(90, y);
}
cx.stroke();
</script>
{{index canvas, "stroke method", "lineTo method", "moveTo method", shape}}
This example creates a path with a number of horizontal ((line)) segments and then strokes it using the stroke method. Each segment created with lineTo starts at the path's current position. That position is usually the end of the last segment, unless moveTo was called. In that case, the next segment would start at the position passed to moveTo.
{{if book
The path described by the previous program looks like this:
{{figure {url: "img/canvas_path.png", alt: "Screenshot showing a number of vertical lines", width: "2.1cm"}}}
if}}
{{index [path, canvas], filling, [path, closing], "fill method"}}
When filling a path (using the fill method), each ((shape)) is filled separately. A path can contain multiple shapes—each moveTo motion starts a new one. But the path needs to be closed (meaning its start and end are in the same position) before it can be filled. If the path is not already closed, a line is added from its end to its start, and the shape enclosed by the completed path is filled.
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
cx.beginPath();
cx.moveTo(50, 10);
cx.lineTo(10, 70);
cx.lineTo(90, 70);
cx.fill();
</script>
This example draws a filled triangle. Note that only two of the triangle's sides are explicitly drawn. The third, from the lower-right corner back to the top, is implied and wouldn't be there if you stroked the path.
{{if book
{{figure {url: "img/canvas_triangle.png", alt: "Screenshot showing a filled path", width: "2.2cm"}}}
if}}
{{index "stroke method", "closePath method", [path, closing], canvas}}
You could also use the closePath method to explicitly close a path by adding an actual ((line)) segment back to the path's start. This segment is drawn when stroking the path.
{{index [path, canvas], canvas, drawing}}
A path may also contain ((curve))d ((line))s. These are unfortunately a bit more involved to draw.
{{index "quadraticCurveTo method"}}
The quadraticCurveTo method draws a curve to a given point. To determine the curvature of the line, the method is given a ((control point)) as well as a destination point. Imagine this control point as attracting the line, giving it its curve. The line won't go through the control point, but its direction at the start and end points will be such that a straight line in that direction would point toward the control point. The following example illustrates this:
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
cx.beginPath();
cx.moveTo(10, 90);
// control=(60, 10) goal=(90, 90)
cx.quadraticCurveTo(60, 10, 90, 90);
cx.lineTo(60, 10);
cx.closePath();
cx.stroke();
</script>
{{if book
It produces a path that looks like this:
{{figure {url: "img/canvas_quadraticcurve.png", alt: "Screenshot of a quadratic curve", width: "2.3cm"}}}
if}}
{{index "stroke method"}}
We draw a ((quadratic curve)) from the left to the right, with (60, 10) as the control point, and then draw two ((line)) segments going through that control point and back to the start of the line. The result somewhat resembles a ((Star Trek)) insignia. You can see the effect of the control point: the lines leaving the lower corners start off in the direction of the control point and then ((curve)) toward their target.
{{index canvas, "bezierCurveTo method"}}
The bezierCurveTo method draws a similar kind of curve. Instead of a single ((control point)), this method has two—one for each of the ((line))'s end points. Here is a similar sketch to illustrate the behavior of such a curve:
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
cx.beginPath();
cx.moveTo(10, 90);
// control1=(10, 10) control2=(90, 10) goal=(50, 90)
cx.bezierCurveTo(10, 10, 90, 10, 50, 90);
cx.lineTo(90, 10);
cx.lineTo(10, 10);
cx.closePath();
cx.stroke();
</script>
The two control points specify the direction at both ends of the curve. The farther they are away from their corresponding point, the more the curve will "bulge" in that direction.
{{if book
{{figure {url: "img/canvas_beziercurve.png", alt: "Screenshot of a bezier curve", width: "2.2cm"}}}
if}}
{{index "trial and error"}}
Such ((curve))s can be hard to work with—it's not always clear how to find the ((control point))s that provide the ((shape)) you are looking for. Sometimes you can compute them, and sometimes you'll just have to find a suitable value by trial and error.
{{index "arc method", arc}}
The arc method is a way to draw a line that curves along the edge of a circle. It takes a pair of ((coordinates)) for the arc's center, a radius, and then a start angle and end angle.
{{index pi, "Math.PI constant"}}
Those last two parameters make it possible to draw only part of the circle. The ((angle))s are measured in ((radian))s, not ((degree))s. This means a full ((circle)) has an angle of 2π, or 2 * Math.PI, which is about 6.28. The angle starts counting at the point to the right of the circle's center and goes clockwise from there. You can use a start of 0 and an end bigger than 2π (say, 7) to draw a full circle.
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
cx.beginPath();
// center=(50, 50) radius=40 angle=0 to 7
cx.arc(50, 50, 40, 0, 7);
// center=(150, 50) radius=40 angle=0 to ½π
cx.arc(150, 50, 40, 0, 0.5 * Math.PI);
cx.stroke();
</script>
{{index "moveTo method", "arc method", [path, " canvas"]}}
The resulting picture contains a ((line)) from the right of the full circle (first call to arc) to the right of the quarter-((circle)) (second call).
{{if book
{{figure {url: "img/canvas_circle.png", alt: "Screenshot of a circle", width: "4.9cm"}}}
if}}
Like other path-drawing methods, a line drawn with arc is connected to the previous path segment.You can call moveTo or start a new path to avoid this.
{{id pie_chart}}
{{index "pie chart example"}}
Imagine you've just taken a ((job)) at EconomiCorp, Inc. Your first assignment is to draw a pie chart of its customer satisfaction ((survey)) results.
The results binding contains an array of objects that represent the survey responses.
const results = [
{name: "Satisfied", count: 1043, color: "lightblue"},
{name: "Neutral", count: 563, color: "lightgreen"},
{name: "Unsatisfied", count: 510, color: "pink"},
{name: "No comment", count: 175, color: "silver"}
];
{{index "pie chart example"}}
To draw a pie chart, we draw a number of pie slices, each made up of an ((arc)) and a pair of ((line))s to the center of that arc. We can compute the ((angle)) taken up by each arc by dividing a full circle (2π) by the total number of responses and then multiplying that number (the angle per response) by the number of people who picked a given choice.
<canvas width="200" height="200"></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
let total = results
.reduce((sum, {count}) => sum + count, 0);
// Start at the top
let currentAngle = -0.5 * Math.PI;
for (let result of results) {
let sliceAngle = (result.count / total) * 2 * Math.PI;
cx.beginPath();
// center=100,100, radius=100
// from current angle, clockwise by slice's angle
cx.arc(100, 100, 100,
currentAngle, currentAngle + sliceAngle);
currentAngle += sliceAngle;
cx.lineTo(100, 100);
cx.fillStyle = result.color;
cx.fill();
}
</script>
{{if book
This draws the following chart:
{{figure {url: "img/canvas_pie_chart.png", alt: "Screenshot showing a pie chart", width: "5cm"}}}
if}}
But a chart that doesn't tell us what the slices mean isn't very helpful. We need a way to draw text to the ((canvas)).
{{index stroking, filling, "fillStyle property", "fillText method", "strokeText method"}}
A 2D canvas drawing context provides the methods fillText and strokeText. The latter can be useful for outlining letters, but usually fillText is what you need. It will fill the outline of the given ((text)) with the current fillStyle.
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
cx.font = "28px Georgia";
cx.fillStyle = "fuchsia";
cx.fillText("I can draw text, too!", 10, 50);
</script>
You can specify the size, style, and ((font)) of the text with the font property. This example just gives a font size and family name. It is also possible to add italic or bold to the start of the string to select a style.
{{index "fillText method", "strokeText method", "textAlign property", "textBaseline property"}}
The last two arguments to fillText and strokeText provide the position at which the font is drawn. By default, they indicate the position of the start of the text's alphabetic baseline, which is the line that letters "stand" on, not counting hanging parts in letters such as j or p. You can change the horizontal position by setting the textAlign property to "end" or "center" and the vertical position by setting textBaseline to "top", "middle", or "bottom".
{{index "pie chart example"}}
We'll come back to our pie chart, and the problem of ((label))ing the slices, in the exercises at the end of the chapter.
{{index "vector graphics", "bitmap graphics"}}
In computer ((graphics)), a distinction is often made between vector graphics and bitmap graphics. The first is what we have been doing so far in this chapter—specifying a picture by giving a logical description of ((shape))s. Bitmap graphics, on the other hand, don't specify actual shapes but rather work with ((pixel)) data (rasters of colored dots).
{{index "load event", "event handling", "img (HTML tag)", "drawImage method"}}
The drawImage method allows us to draw ((pixel)) data onto a ((canvas)). This pixel data can originate from an <img> element or from another canvas. The following example creates a detached <img> element and loads an image file into it. But the method cannot immediately start drawing from this picture because the browser may not have loaded it yet. To deal with this, we register a "load" event handler and do the drawing after the image has loaded.
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
let img = document.createElement("img");
img.src = "img/hat.png";
img.addEventListener("load", () => {
for (let x = 10; x < 200; x += 30) {
cx.drawImage(img, x, 10);
}
});
</script>
{{index "drawImage method", scaling}}
By default, drawImage will draw the image at its original size. You can also give it two additional arguments to specify the width and height of the drawn image, when those aren't the same as the origin image.
When drawImage is given nine arguments, it can be used to draw only a fragment of an image. The second through fifth arguments indicate the rectangle (x, y, width, and height) in the source image that should be copied, and the sixth to ninth arguments give the rectangle (on the canvas) into which it should be copied.
{{index "player", "pixel art"}}
This can be used to pack multiple ((sprite))s (image elements) into a single image file and then draw only the part you need. For example, this picture contains a game character in multiple ((pose))s:
{{figure {url: "img/player_big.png", alt: "Pixel art showing a computer game character in 10 different poses. The first 8 form its running animation cycle, the 9th has the character standing still, and the 10th shows him jumping.", width: "6cm"}}}
{{index [animation, "platform game"]}}
By alternating which pose we draw, we can show an animation that looks like a walking character.
{{index "fillRect method", "clearRect method", clearing}}
To animate a ((picture)) on a ((canvas)), the clearRect method is useful. It resembles fillRect, but instead of coloring the rectangle, it makes it ((transparent)), removing the previously drawn pixels.
{{index "setInterval function", "img (HTML tag)"}}
We know that each ((sprite)), each subpicture, is 24 ((pixel))s wide and 30 pixels high. The following code loads the image and then sets up an interval (repeated timer) to draw the next ((frame)):
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
let img = document.createElement("img");
img.src = "img/player.png";
let spriteW = 24, spriteH = 30;
img.addEventListener("load", () => {
let cycle = 0;
setInterval(() => {
cx.clearRect(0, 0, spriteW, spriteH);
cx.drawImage(img,
// source rectangle
cycle * spriteW, 0, spriteW, spriteH,
// destination rectangle
0, 0, spriteW, spriteH);
cycle = (cycle + 1) % 8;
}, 120);
});
</script>
{{index "remainder operator", "% operator", [animation, "platform game"]}}
The cycle binding tracks our position in the animation. For each ((frame)), it is incremented and then clipped back to the 0 to 7 range by using the remainder operator. This binding is then used to compute the x-coordinate that the sprite for the current pose has in the picture.
{{index transformation, mirroring}}
{{indexsee flipping, mirroring}}
What if we want our character to walk to the left instead of to the right? We could draw another set of sprites, of course. But we could also instruct the ((canvas)) to draw the picture the other way round.
{{index "scale method", scaling}}
Calling the scale method will cause anything drawn after it to be scaled. This method takes two parameters, one to set a horizontal scale and one to set a vertical scale.
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
cx.scale(3, .5);
cx.beginPath();
cx.arc(50, 50, 40, 0, 7);
cx.lineWidth = 3;
cx.stroke();
</script>
{{if book
Because of the call to scale, the circle is drawn three times as wide and half as high.
{{figure {url: "img/canvas_scale.png", alt: "Screenshot of a scaled circle", width: "6.6cm"}}}
if}}
{{index mirroring}}
Scaling will cause everything about the drawn image, including the ((line width)), to be stretched out or squeezed together as specified. Scaling by a negative amount will flip the picture around. The flipping happens around point (0, 0), which means it will also flip the direction of the coordinate system. When a horizontal scaling of -1 is applied, a shape drawn at x position 100 will end up at what used to be position -100.
{{index "drawImage method"}}
To turn a picture around, we can't simply add cx.scale(-1, 1) before the call to drawImage. That would move our picture outside of the ((canvas)), where it won't be visible. We could adjust the ((coordinates)) given to drawImage to compensate for this by drawing the image at x position -50 instead of 0. Another solution, which doesn't require the code doing the drawing to know about the scale change, is to adjust the ((axis)) around which the scaling happens.
{{index "rotate method", "translate method", transformation}}
There are several other methods besides scale that influence the coordinate system for a ((canvas)). You can rotate subsequently drawn shapes with the rotate method and move them with the translate method. The interesting—and confusing—thing is that these transformations stack, meaning that each one happens relative to the previous transformations.
{{index "rotate method", "translate method"}}
If we translate by 10 horizontal pixels twice, everything will be drawn 20 pixels to the right. If we first move the center of the coordinate system to (50, 50) and then rotate by 20 ((degree))s (about 0.1π ((radian))s), that rotation will happen around point (50, 50).
{{figure {url: "img/transform.svg", alt: "Diagram showing the result of stacking transformations. The first diagram translates and then rotates, causing the translation to happen normally and rotation to happen around the target of the translation. The second diagram first rotates, and then translates, causing the rotation to happen around the origin and the translation direction to be tilted by that rotation.", width: "9cm"}}}
{{index coordinates}}
But if we first rotate by 20 degrees and then translate by (50, 50), the translation will happen in the rotated coordinate system and thus produce a different orientation. The order in which transformations are applied matters.
{{index axis, mirroring}}
To flip a picture around the vertical line at a given x position, we can do the following:
function flipHorizontally(context, around) {
context.translate(around, 0);
context.scale(-1, 1);
context.translate(-around, 0);
}
{{index "flipHorizontally method"}}
We move the y-((axis)) to where we want our ((mirror)) to be, apply the mirroring, and finally move the y-axis back to its proper place in the mirrored universe. The following picture explains why this works:
{{figure {url: "img/mirror.svg", alt: "Diagram showing the effect of translating and mirroring a triangle", width: "8cm"}}}
{{index "translate method", "scale method", transformation, canvas}}
This shows the coordinate systems before and after mirroring across the central line. The triangles are numbered to illustrate each step. If we draw a triangle at a positive x position, it would, by default, be in the place where triangle 1 is. A call to flipHorizontally first does a translation to the right, which gets us to triangle 2. It then scales, flipping the triangle over to position 3. This is not where it should be, if it were mirrored in the given line. The second translate call fixes this—it "cancels" the initial translation and makes triangle 4 appear exactly where it should.
We can now draw a mirrored character at position (100, 0) by flipping the world around the character's vertical center.
<canvas></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
let img = document.createElement("img");
img.src = "img/player.png";
let spriteW = 24, spriteH = 30;
img.addEventListener("load", () => {
flipHorizontally(cx, 100 + spriteW / 2);
cx.drawImage(img, 0, 0, spriteW, spriteH,
100, 0, spriteW, spriteH);
});
</script>
{{index "side effect", canvas, transformation}}
Transformations stick around. Everything else we draw after ((drawing)) that mirrored character would also be mirrored. That might be inconvenient.
It is possible to save the current transformation, do some drawing and transforming, and then restore the old transformation. This is usually the proper thing to do for a function that needs to temporarily transform the coordinate system. First, we save whatever transformation the code that called the function was using. Then the function does its thing, adding more transformations on top of the current transformation. Finally, we revert to the transformation we started with.
{{index "save method", "restore method", [state, "of canvas"]}}
The save and restore methods on the 2D ((canvas)) context do this ((transformation)) management. They conceptually keep a stack of transformation states. When you call save, the current state is pushed onto the stack, and when you call restore, the state on top of the stack is taken off and used as the context's current transformation. You can also call resetTransform to fully reset the transformation.
{{index "branching recursion", "fractal example", recursion}}
The branch function in the following example illustrates what you can do with a function that changes the transformation and then calls a function (in this case itself), which continues drawing with the given transformation.
This function draws a treelike shape by drawing a line, moving the center of the coordinate system to the end of the line, and calling itself twice—first rotated to the left and then rotated to the right. Every call reduces the length of the branch drawn, and the recursion stops when the length drops below 8.
<canvas width="600" height="300"></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
function branch(length, angle, scale) {
cx.fillRect(0, 0, 1, length);
if (length < 8) return;
cx.save();
cx.translate(0, length);
cx.rotate(-angle);
branch(length * scale, angle, scale);
cx.rotate(2 * angle);
branch(length * scale, angle, scale);
cx.restore();
}
cx.translate(300, 0);
branch(60, 0.5, 0.8);
</script>
{{if book
The result is a simple fractal.
{{figure {url: "img/canvas_tree.png", alt: "Screenshot of a fractal", width: "5cm"}}}
if}}
{{index "save method", "restore method", canvas, "rotate method"}}
If the calls to save and restore were not there, the second recursive call to branch would end up with the position and rotation created by the first call. It would be connected not to the current branch but rather to the innermost, rightmost branch drawn by the first call. The resulting shape might also be interesting, but it is definitely not a tree.
{{id canvasdisplay}}
{{index "drawImage method"}}
We now know enough about ((canvas)) drawing to start working on a ((canvas))-based ((display)) system for the ((game)) from the previous chapter. The new display will no longer be showing just colored boxes. Instead, we'll use drawImage to draw pictures that represent the game's elements.
{{index "CanvasDisplay class", "DOMDisplay class", [interface, object]}}
We define another display object type called CanvasDisplay, supporting the same interface as DOMDisplay from Chapter ?—namely, the methods syncState and clear.
{{index [state, "in objects"]}}
This object keeps a little more information than DOMDisplay. Rather than using the scroll position of its DOM element, it tracks its own ((viewport)), which tells us which part of the level we are currently looking at. Finally, it keeps a flipPlayer property so that even when the player is standing still, it keeps facing the direction in which it last moved.
class CanvasDisplay {
constructor(parent, level) {
this.canvas = document.createElement("canvas");
this.canvas.width = Math.min(600, level.width * scale);
this.canvas.height = Math.min(450, level.height * scale);
parent.appendChild(this.canvas);
this.cx = this.canvas.getContext("2d");
this.flipPlayer = false;
this.viewport = {
left: 0,
top: 0,
width: this.canvas.width / scale,
height: this.canvas.height / scale
};
}
clear() {
this.canvas.remove();
}
}
The syncState method first computes a new viewport and then draws the game scene at the appropriate position.
CanvasDisplay.prototype.syncState = function(state) {
this.updateViewport(state);
this.clearDisplay(state.status);
this.drawBackground(state.level);
this.drawActors(state.actors);
};
{{index scrolling, clearing}}
Contrary to DOMDisplay, this display style does have to redraw the background on every update. Because shapes on a canvas are just ((pixel))s, after we draw them there is no good way to move them (or remove them). The only way to update the canvas display is to clear it and redraw the scene. We may also have scrolled, which requires the background to be in a different position.
{{index "CanvasDisplay class"}}
The updateViewport method is similar to DOMDisplay's scrollPlayerIntoView method. It checks whether the player is too close to the edge of the screen and moves the ((viewport)) when this is the case.
CanvasDisplay.prototype.updateViewport = function(state) {
let view = this.viewport, margin = view.width / 3;
let player = state.player;
let center = player.pos.plus(player.size.times(0.5));
if (center.x < view.left + margin) {
view.left = Math.max(center.x - margin, 0);
} else if (center.x > view.left + view.width - margin) {
view.left = Math.min(center.x + margin - view.width,
state.level.width - view.width);
}
if (center.y < view.top + margin) {
view.top = Math.max(center.y - margin, 0);
} else if (center.y > view.top + view.height - margin) {
view.top = Math.min(center.y + margin - view.height,
state.level.height - view.height);
}
};
{{index boundary, "Math.max function", "Math.min function", clipping}}
The calls to Math.max and Math.min ensure that the viewport does not end up showing space outside of the level. Math.max(x, 0) makes sure the resulting number is not less than zero. Math.min similarly guarantees that a value stays below a given bound.
When ((clearing)) the display, we'll use a slightly different ((color)) depending on whether the game is won (brighter) or lost (darker).
CanvasDisplay.prototype.clearDisplay = function(status) {
if (status == "won") {
this.cx.fillStyle = "rgb(68, 191, 255)";
} else if (status == "lost") {
this.cx.fillStyle = "rgb(44, 136, 214)";
} else {
this.cx.fillStyle = "rgb(52, 166, 251)";
}
this.cx.fillRect(0, 0,
this.canvas.width, this.canvas.height);
};
{{index "Math.floor function", "Math.ceil function", rounding}}
To draw the background, we run through the tiles that are visible in the current viewport, using the same trick used in the touches method from the previous chapter.
let otherSprites = document.createElement("img");
otherSprites.src = "img/sprites.png";
CanvasDisplay.prototype.drawBackground = function(level) {
let {left, top, width, height} = this.viewport;
let xStart = Math.floor(left);
let xEnd = Math.ceil(left + width);
let yStart = Math.floor(top);
let yEnd = Math.ceil(top + height);
for (let y = yStart; y < yEnd; y++) {
for (let x = xStart; x < xEnd; x++) {
let tile = level.rows[y][x];
if (tile == "empty") continue;
let screenX = (x - left) * scale;
let screenY = (y - top) * scale;
let tileX = tile == "lava" ? scale : 0;
this.cx.drawImage(otherSprites,
tileX, 0, scale, scale,
screenX, screenY, scale, scale);
}
}
};
{{index "drawImage method", sprite, tile}}
Tiles that are not empty are drawn with drawImage. The otherSprites image contains the pictures used for elements other than the player. It contains, from left to right, the wall tile, the lava tile, and the sprite for a coin.
{{figure {url: "img/sprites_big.png", alt: "Pixel art showing three sprites: a piece of wall, made out of small white stones, a square of orange lava, and a round coin.", width: "1.4cm"}}}
{{index scaling}}
Background tiles are 20 by 20 pixels, since we'll use the same scale as in DOMDisplay. Thus, the offset for lava tiles is 20 (the value of the scale binding), and the offset for walls is 0.
{{index drawing, "load event", "drawImage method"}}
We don't bother waiting for the sprite image to load. Calling drawImage with an image that hasn't been loaded yet will simply do nothing. Thus, we might fail to draw the game properly for the first few ((frame))s while the image is still loading, but that isn't a serious problem. Since we keep updating the screen, the correct scene will appear as soon as the loading finishes.
{{index "player", [animation, "platform game"], drawing}}
The ((walking)) character shown earlier will be used to represent the player. The code that draws it needs to pick the right ((sprite)) and direction based on the player's current motion. The first eight sprites contain a walking animation. When the player is moving along a floor, we cycle through them based on the current time. We want to switch frames every 60 milliseconds, so the ((time)) is divided by 60 first. When the player is standing still, we draw the ninth sprite. During jumps, which are recognized by the fact that the vertical speed is not zero, we use the tenth, rightmost sprite.
{{index "flipHorizontally function", "CanvasDisplay class"}}
Because the ((sprite))s are slightly wider than the player object—24 instead of 16 pixels to allow some space for feet and arms—the method has to adjust the x-coordinate and width by a given amount (playerXOverlap).
let playerSprites = document.createElement("img");
playerSprites.src = "img/player.png";
const playerXOverlap = 4;
CanvasDisplay.prototype.drawPlayer = function(player, x, y,
width, height){
width += playerXOverlap * 2;
x -= playerXOverlap;
if (player.speed.x != 0) {
this.flipPlayer = player.speed.x < 0;
}
let tile = 8;
if (player.speed.y != 0) {
tile = 9;
} else if (player.speed.x != 0) {
tile = Math.floor(Date.now() / 60) % 8;
}
this.cx.save();
if (this.flipPlayer) {
flipHorizontally(this.cx, x + width / 2);
}
let tileX = tile * width;
this.cx.drawImage(playerSprites, tileX, 0, width, height,
x, y, width, height);
this.cx.restore();
};
The drawPlayer method is called by drawActors, which is responsible for drawing all the actors in the game.
CanvasDisplay.prototype.drawActors = function(actors) {
for (let actor of actors) {
let width = actor.size.x * scale;
let height = actor.size.y * scale;
let x = (actor.pos.x - this.viewport.left) * scale;
let y = (actor.pos.y - this.viewport.top) * scale;
if (actor.type == "player") {
this.drawPlayer(actor, x, y, width, height);
} else {
let tileX = (actor.type == "coin" ? 2 : 1) * scale;
this.cx.drawImage(otherSprites,
tileX, 0, width, height,
x, y, width, height);
}
}
};
When ((drawing)) something that is not the ((player)), we look at its type to find the offset of the correct sprite. The ((lava)) tile is found at offset 20, and the ((coin)) sprite is found at 40 (two times scale).
{{index viewport}}
We have to subtract the viewport's position when computing the actor's position, since (0, 0) on our ((canvas)) corresponds to the top left of the viewport, not the top left of the level. We could also have used translate for this. Either way works.
{{if interactive
This document plugs the new display into runGame:
<body>
<script>
runGame(GAME_LEVELS, CanvasDisplay);
</script>
</body>
if}}
{{if book
{{index [game, screenshot], [game, "with canvas"]}}
That concludes the new ((display)) system. The resulting game looks something like this:
{{figure {url: "img/canvas_game.png", alt: "Screenshot of the game as shown on canvas", width: "8cm"}}}
if}}
{{id graphics_tradeoffs}}
When you need to generate graphics in the browser, you can choose between plain HTML, ((SVG)), and ((canvas)). There is no single best approach that works in all situations. Each option has strengths and weaknesses.
{{index "text wrapping"}}
Plain HTML has the advantage of being simple. It also integrates well with ((text)). Both SVG and canvas allow you to draw text, but they won't help you position that text or wrap it when it takes up more than one line. In an HTML-based picture, it is much easier to include blocks of text.
{{index zooming, SVG}}
SVG can be used to produce ((crisp)) ((graphics)) that look good at any zoom level. Unlike HTML, it is designed for drawing and is thus more suitable for that purpose.
{{index [DOM, graphics], SVG, "event handling", ["data structure", tree]}}
Both SVG and HTML build up a data structure (the DOM) that represents your picture. This makes it possible to modify elements after they are drawn. If you need to repeatedly change a small part of a big ((picture)) in response to what the user is doing or as part of an ((animation)), doing it in a canvas can be needlessly expensive. The DOM also allows us to register mouse event handlers on every element in the picture (even on shapes drawn with SVG). You can't do that with canvas.
{{index performance, optimization, "ray tracer"}}
But ((canvas))'s ((pixel))-oriented approach can be an advantage when drawing a huge number of tiny elements. The fact that it does not build up a data structure but only repeatedly draws onto the same pixel surface gives canvas a lower cost per shape. There are also effects that are only practical with a canvas element, such as rendering a scene one ((pixel)) at a time (for example, using a ray tracer) or postprocessing an image with JavaScript (blurring or distorting it).
In some cases, you may want to combine several of these techniques. For example, you might draw a ((graph)) with ((SVG)) or ((canvas)) but show ((text))ual information by positioning an HTML element on top of the picture.
{{index display}}
For nondemanding applications, it really doesn't matter much which interface you choose. The display we built for our game in this chapter could have been implemented using any of these three ((graphics)) technologies, since it does not need to draw text, handle mouse interaction, or work with an extraordinarily large number of elements.
In this chapter we discussed techniques for drawing graphics in the browser, focusing on the <canvas> element.
A canvas node represents an area in a document that our program may draw on. This drawing is done through a drawing context object, created with the getContext method.
The 2D drawing interface allows us to fill and stroke various shapes. The context's fillStyle property determines how shapes are filled. The strokeStyle and lineWidth properties control the way lines are drawn.
Rectangles and pieces of text can be drawn with a single method call. The fillRect and strokeRect methods draw rectangles, and the fillText and strokeText methods draw text. To create custom shapes, we must first build up a path.
{{index stroking, filling}}
Calling beginPath starts a new path. A number of other methods add lines and curves to the current path. For example, lineTo can add a straight line. When a path is finished, it can be filled with the fill method or stroked with the stroke method.
Moving pixels from an image or another canvas onto our canvas is done with the drawImage method. By default, this method draws the whole source image, but by giving it more parameters, you can copy a specific area of the image. We used this for our game by copying individual poses of the game character out of an image that contained many such poses.
Transformations allow you to draw a shape in multiple orientations. A 2D drawing context has a current transformation that can be changed with the translate, scale, and rotate methods. These will affect all subsequent drawing operations. A transformation state can be saved with the save method and restored with the restore method.
When showing an animation on a canvas, the clearRect method can be used to clear part of the canvas before redrawing it.
{{index "shapes (exercise)"}}
Write a program that draws the following ((shape))s on a ((canvas)):
{{index rotation}}
-
A ((trapezoid)) (a ((rectangle)) that is wider on one side)
-
A red ((diamond)) (a rectangle rotated 45 degrees or ¼π radians)
-
A zigzagging ((line))
-
A ((spiral)) made up of 100 straight line segments
-
A yellow ((star))
{{figure {url: "img/exercise_shapes.png", alt: "Picture showing the shapes you are asked to draw", width: "8cm"}}}
When drawing the last two shapes, you may want to refer to the explanation of Math.cos and Math.sin in Chapter ?, which describes how to get coordinates on a circle using these functions.
{{index readability, "hardcoding"}}
I recommend creating a function for each shape. Pass the position, and optionally other properties such as the size or the number of points, as parameters. The alternative, which is to hardcode numbers all over your code, tends to make the code needlessly hard to read and modify.
{{if interactive
<canvas width="600" height="200"></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
// Your code here.
</script>
if}}
{{hint
{{index [path, canvas], "shapes (exercise)"}}
The ((trapezoid)) (1) is easiest to draw using a path. Pick suitable center coordinates and add each of the four corners around the center.
{{index "flipHorizontally function", rotation}}
The ((diamond)) (2) can be drawn the straightforward way, with a path, or the interesting way, with a rotate ((transformation)). To use rotation, you will have to apply a trick similar to what we did in the flipHorizontally function. Because you want to rotate around the center of your rectangle and not around the point (0, 0), you must first translate to there, then rotate, and then translate back.
Make sure you reset the transformation after drawing any shape that creates one.
{{index "remainder operator", "% operator"}}
For the ((zigzag)) (3) it becomes impractical to write a new call to lineTo for each line segment. Instead, you should use a ((loop)). You can have each iteration draw either two ((line)) segments (right and then left again) or one, in which case you must use the evenness (% 2) of the loop index to determine whether to go left or right.
You'll also need a loop for the ((spiral)) (4). If you draw a series of points, with each point moving farther along a circle around the spiral's center, you get a circle. If, during the loop, you vary the radius of the circle on which you are putting the current point and go around more than once, the result is a spiral.
{{index "quadraticCurveTo method"}}
The ((star)) (5) depicted is built out of quadraticCurveTo lines. You could also draw one with straight lines. Divide a circle into eight pieces for a star with eight points, or however many pieces you want. Draw lines between these points, making them curve toward the center of the star. With quadraticCurveTo, you can use the center as the control point.
hint}}
{{id exercise_pie_chart}}
{{index label, text, "pie chart example"}}
Earlier in the chapter, we saw an example program that drew a pie chart. Modify this program so that the name of each category is shown next to the slice that represents it. Try to find a pleasing-looking way to automatically position this text that would work for other datasets as well. You may assume that categories are big enough to leave enough room for their labels.
You might need Math.sin and Math.cos again, which are described in Chapter ?.
{{if interactive
<canvas width="600" height="300"></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
let total = results
.reduce((sum, {count}) => sum + count, 0);
let currentAngle = -0.5 * Math.PI;
let centerX = 300, centerY = 150;
// Add code to draw the slice labels in this loop.
for (let result of results) {
let sliceAngle = (result.count / total) * 2 * Math.PI;
cx.beginPath();
cx.arc(centerX, centerY, 100,
currentAngle, currentAngle + sliceAngle);
currentAngle += sliceAngle;
cx.lineTo(centerX, centerY);
cx.fillStyle = result.color;
cx.fill();
}
</script>
if}}
{{hint
{{index "fillText method", "textAlign property", "textBaseline property", "pie chart example"}}
You will need to call fillText and set the context's textAlign and textBaseline properties in such a way that the text ends up where you want it.
A sensible way to position the labels would be to put the text on the line going from the center of the pie through the middle of the slice. You don't want to put the text directly against the side of the pie but rather move the text out to the side of the pie by a given number of pixels.
The ((angle)) of this line is currentAngle + 0.5 * sliceAngle. The following code finds a position on this line 120 pixels from the center:
let middleAngle = currentAngle + 0.5 * sliceAngle;
let textX = Math.cos(middleAngle) * 120 + centerX;
let textY = Math.sin(middleAngle) * 120 + centerY;
For textBaseline, the value "middle" is probably appropriate when using this approach. What to use for textAlign depends on which side of the circle we are on. On the left, it should be "right", and on the right, it should be "left", so that the text is positioned away from the pie.
{{index "Math.cos function"}}
If you are not sure how to find out which side of the circle a given angle is on, look to the explanation of Math.cos in Chapter ?. The cosine of an angle tells us which x-coordinate it corresponds to, which in turn tells us exactly which side of the circle we are on.
hint}}
{{index [animation, "bouncing ball"], "requestAnimationFrame function", bouncing}}
Use the requestAnimationFrame technique that we saw in Chapter ? and Chapter ? to draw a ((box)) with a bouncing ((ball)) in it. The ball moves at a constant ((speed)) and bounces off the box's sides when it hits them.
{{if interactive
<canvas width="400" height="400"></canvas>
<script>
let cx = document.querySelector("canvas").getContext("2d");
let lastTime = null;
function frame(time) {
if (lastTime != null) {
updateAnimation(Math.min(100, time - lastTime) / 1000);
}
lastTime = time;
requestAnimationFrame(frame);
}
requestAnimationFrame(frame);
function updateAnimation(step) {
// Your code here.
}
</script>
if}}
{{hint
{{index "strokeRect method", animation, "arc method"}}
A ((box)) is easy to draw with strokeRect. Define a binding that holds its size, or define two bindings if your box's width and height differ. To create a round ((ball)), start a path and call arc(x, y, radius, 0, 7), which creates an arc going from zero to more than a whole circle. Then fill the path.
{{index "collision detection", "Vec class"}}
To model the ball's position and ((speed)), you can use the Vec class from Chapter ?[ (which is available on this page)]{if interactive}. Give it a starting speed, preferably one that is not purely vertical or horizontal, and for every ((frame)) multiply that speed by the amount of time that elapsed. When the ball gets too close to a vertical wall, invert the x component in its speed. Likewise, invert the y component when it hits a horizontal wall.
{{index "clearRect method", clearing}}
After finding the ball's new position and speed, use clearRect to delete the scene and redraw it using the new position.
hint}}
{{index optimization, "bitmap graphics", mirror}}
One unfortunate thing about ((transformation))s is that they slow down the drawing of bitmaps. The position and size of each ((pixel)) have to be transformed, and though it is possible that ((browser))s will get cleverer about transformation in the ((future)), they currently cause a measurable increase in the time it takes to draw a bitmap.
In a game like ours, where we are drawing only a single transformed sprite, this is a nonissue. But imagine that we need to draw hundreds of characters or thousands of rotating particles from an explosion.
Think of a way to draw an inverted character without loading additional image files and without having to make transformed drawImage calls every frame.
{{hint
{{index mirror, scaling, "drawImage method"}}
The key to the solution is the fact that we can use a ((canvas)) element as a source image when using drawImage. It is possible to create an extra <canvas> element, without adding it to the document, and draw our inverted sprites to it, once. When drawing an actual frame, we just copy the already inverted sprites to the main canvas.
{{index "load event"}}
Some care would be required because images do not load instantly. We do the inverted drawing only once, and if we do it before the image loads, it won't draw anything. A "load" handler on the image can be used to draw the inverted images to the extra canvas. This canvas can be used as a drawing source immediately (it'll simply be blank until we draw the character onto it).
hint}}