shaders

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• shaders... duh
• or you know, anything else

what we will learn

• no: how to write a shader that does x
• yes: everything necessary to write shaders

pipeline overview

animation from the excellent simon schreibt's render hell

frame buffer

normalized device coordinates

webgl!

• the source of these samples is self-contained
• just copy and paste it into an html file to start hacking

matrices

combining matrices

• you can multiply matrices together to combine them
• model matrix: move the vertices in world space
• view matrix: apply camera position and rotation
• projection matrix: convert the 3d vector to a 2d screen-space coordinate

what if we want to do something more complicated?

• so far we have been using the "fixed function pipeline"
• the gpu can only do matrix multiplication
• if we want to move individual vertices, we have to send data from the cpu to gpu (expensive)
• what if we instead run a program on the gpu itself?

baby's first vertex shader

input vertices, do math, output vertices

<script type="x-shader/x-vertex" id="vs">
	void main()
	{
		gl_PointSize = 2.0;
		gl_Position = projectionMatrix * modelViewMatrix * vec4(position, 1);
	}
</script>

things you should know about shaders

• they are plain text
• often included directly in binaries as char arrays
• opengl compiles them at runtime
• written in glsl (opengl shader language)
• syntax is similar to c

glsl data types

• bool, bvec2, bvec3, bvec4
• int, ivec2, ivec3, ivec4
• uint, uvec2, uvec3, uvec4
• float, vec2, vec3, vec4

matrices

• matnxn | 2 <= n <= 4
• matn | 2 <= n <= 4
• you can multiply matrices together

mat4x4 world;
mat4x4 view;
mat4x4 projection;
mat4x4 final = projection * view * world;

you can also multiply vectors with them if they are the right size

mat4x4 world;
vec3 position;
position = world * position; // ERROR
position = world * vec4(position, 1); // okay

swizzling

you can access individual components of vectors

vec3 position;
float height = position.y;
// or:
height = position[1];

access multiple components simultaneously

vec4 position;
position.xy = vec2(0, 0);

mix and match

vec4 a, b;
a.zyx = b.yyy;

ocean animation

• shaders are basically stateless
• pass in the same input, you always get the same output
• how can we make the output change over time?

uniforms

• so named because they remain constant for the entire draw call
• we will pass one float into the shader each frame, representing time
• every vertex will have access to this value

three.js is so great

var uniforms =
{
	time: { type: 'f', value: 0 }, // f for float
};

var material = new THREE.ShaderMaterial(
{
	vertexShader: document.getElementById('vs').textContent,
	uniforms: uniforms,
});

// snip...
var clock = new THREE.Clock();
function render()
{
	requestAnimationFrame(render);
	uniforms.time.value = clock.getElapsedTime();
	renderer.render(scene, camera);
}
render();

how can we make each vertex behave differently?

• why can't we keep track of anything between vertices?
• gpu actually processes many vertices simultaneously

attributes to the rescue

vertex declaration specifies what data is attached to each vertex

three.js saves lives

var attributes =
{
	offset: { type: 'f', value: [] },
};

var geometry = new THREE.Geometry();
for (var x = -50; x < 50; x++)
{
	for (var z = -50; z < 50; z++)
	{
		geometry.vertices.push(new THREE.Vector3(x, 0, z));
		attributes.offset.value.push((x + z) * 0.1);
	}
}

var material = new THREE.ShaderMaterial(
{
	vertexShader: document.getElementById('vs').textContent,
	uniforms: uniforms,
	attributes: attributes,
});

connecting the dots

• so far we've sent individual vertices into a vertex buffer object (vbo) without connecting them
• everything is made of triangles, even rectangles are constructed from two triangles
• a triangle is basically three integers which point to vertices in the vbo

index buffer

the most common vertex attribute

normals

usually precalculated at design-time or during loading

of course three.js can do it for you, and even display them for debugging

rasterization

automatically handled by the gpu

fragment shader

• gpu program, executed for each rasterized pixel in a triangle
• output is four floats (rgba) ranging from 0 to 1

what inputs can we have?

• uniforms
• data passed from the vertex shader, called "varyings"

varyings

• vertex shader can output extra data to the pixel shader
• but which vertex does the data come from?
• let's find out

let's attach a color to each vertex

var attributes =
{
	vertexColor: { type: 'v3', value: [] },
};

var geometry = new THREE.Geometry();

geometry.vertices.push(new THREE.Vector3(0, 2.0, 0));
geometry.vertices.push(new THREE.Vector3(-2.0, -2.0, 0));
geometry.vertices.push(new THREE.Vector3(2.0, -2.0, 0));

attributes.vertexColor.value.push(new THREE.Vector3(1, 0, 0));
attributes.vertexColor.value.push(new THREE.Vector3(0, 1, 0));
attributes.vertexColor.value.push(new THREE.Vector3(0, 0, 1));

geometry.faces.push(new THREE.Face3(0, 1, 2));

lighting

• clearly it has something to do with the normal
• we need to find out the angle between the normal and the light direction

why doesn't the light change when the bunny rotates?

look at the vertex shader

texture mapping

• we can give each vertex a 2d texture coordinate as an attribute
• we pass the coordinate to the fragment shader
• the gpu automagically interpolates to get the coordinate for each pixel
• fragment shader samples the texture at that coordinate to get final color

three.js does it again

geometry.faceVertexUvs[0] = [];
geometry.faceVertexUvs[0].push(
[
	new THREE.Vector2(1, 0),
	new THREE.Vector2(0.5, 1),
	new THREE.Vector2(0, 0),
]);

var uniforms =
{
	texture1: { type: 't', value: THREE.ImageUtils.loadTexture('texture.jpg') },
};

resources

• render hell - http://simonschreibt.de/gat/renderhell/
  everything you ever wanted to know about the graphics pipeline
• shadertoy - https://www.shadertoy.com
  easiest way to experiment with webgl shaders
• thndl - http://thndl.com
  brilliant blog with tons of interactive shader samples
• three.js - http://threejs.org/
  tons of samples

questions?