Simon Schneegans
294 lines
9.9 KiB
JavaScript
294 lines
9.9 KiB
JavaScript
//////////////////////////////////////////////////////////////////////////////////////////
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// ) ( //
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// ( /( ( ( ) ( ( ( ( )\ ) ( ( //
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// )\()) ))\ )( ( ( )\ ) )\))( )\ ( (()/( ( )\))( ( //
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// ((_)\ /((_|()\ )\ ) )\ '(()/( ((_)()((_) )\ ) ((_)))\((_)()\ )\ //
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// | |(_|_))( ((_)_(_/( _((_)) )(_)) _(()((_|_)_(_/( _| |((_)(()((_|(_) //
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// | '_ \ || | '_| ' \)) | ' \()| || | \ V V / | ' \)) _` / _ \ V V (_-< //
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// |_.__/\_,_|_| |_||_| |_|_|_| \_, | \_/\_/|_|_||_|\__,_\___/\_/\_//__/ //
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// |__/ //
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// Copyright (c) 2021 Simon Schneegans //
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// Released under the GPLv3 or later. See LICENSE file for details. //
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//////////////////////////////////////////////////////////////////////////////////////////
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'use strict';
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//////////////////////////////////////////////////////////////////////////////////////////
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// These functions return strings which can be injected to GLSL shader code. //
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//////////////////////////////////////////////////////////////////////////////////////////
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// These should be included in every shader.
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// uTexture: Contains the texture of the window.
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// uProgress: A value which transitions from 0 to 1 during the entire animation.
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// uTime: A steadily increasing value in seconds.
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// uSizeX: The horizontal size of uTexture in pixels.
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// uSizeY: The vertical size of uTexture in pixels.
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function standardUniforms() {
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return `
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uniform sampler2D uTexture;
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uniform float uProgress;
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uniform float uTime;
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uniform int uSizeX;
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uniform int uSizeY;
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`;
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}
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function math2D() {
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return `
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float distToLine(vec2 origin, vec2 direction, vec2 point) {
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vec2 perpendicular = vec2(direction.y, -direction.x);
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return abs(dot(normalize(perpendicular), origin - point));
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}
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float getWinding(vec2 a, vec2 b) {
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return cross(vec3(a, 0.0), vec3(b, 0.0)).z;
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}
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vec2 rotate(vec2 a, float angle) {
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return vec2(a.x * cos(angle) - a.y * sin(angle),
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a.x * sin(angle) + a.y * cos(angle));
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}
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`;
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}
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// This method returns a mask which smoothly transitions towards zero when approaching
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// the window's borders. There is a variant which takes the transition area width in
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// pixels and one which takes this as a percentage.
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function edgeMask() {
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return `
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float getEdgeMask(vec2 uv, vec2 maxUV, float fadeWidth) {
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float mask = 1.0;
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mask *= smoothstep(0, 1, clamp(uv.x / fadeWidth, 0, 1));
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mask *= smoothstep(0, 1, clamp(uv.y / fadeWidth, 0, 1));
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mask *= smoothstep(0, 1, clamp((maxUV.x - uv.x) / fadeWidth, 0, 1));
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mask *= smoothstep(0, 1, clamp((maxUV.y - uv.y) / fadeWidth, 0, 1));
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return mask;
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}
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float getAbsoluteEdgeMask(float fadePixels) {
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vec2 uv = cogl_tex_coord_in[0].st * vec2(uSizeX, uSizeY);
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return getEdgeMask(uv, vec2(uSizeX, uSizeY), fadePixels);
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}
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float getRelativeEdgeMask(float fadeAmount) {
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vec2 uv = cogl_tex_coord_in[0].st;
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return getEdgeMask(uv, vec2(1.0), fadeAmount);
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}
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`;
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}
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// These noise algorithms are based on implementations by various authors from
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// shadertoy.com, which are all available under the MIT License. See the respective links
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// in the comments below.
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function noise() {
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return `
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////////////////////////////////////////////////////////////////////////////////////////
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// Hash without Sine //
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// MIT License, https://www.shadertoy.com/view/4djSRW //
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// Copyright (c) 2014 David Hoskins. //
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////////////////////////////////////////////////////////////////////////////////////////
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// 1 out, 1 in...
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float hash11(float p) {
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p = fract(p * .1031);
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p *= p + 33.33;
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p *= p + p;
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return fract(p);
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}
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// 1 out, 2 in...
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float hash12(vec2 p) {
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vec3 p3 = fract(vec3(p.xyx) * .1031);
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p3 += dot(p3, p3.yzx + 33.33);
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return fract((p3.x + p3.y) * p3.z);
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}
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// 1 out, 3 in...
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float hash13(vec3 p3) {
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p3 = fract(p3 * .1031);
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p3 += dot(p3, p3.zyx + 31.32);
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return fract((p3.x + p3.y) * p3.z);
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}
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// 2 out, 1 in...
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vec2 hash21(float p) {
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vec3 p3 = fract(vec3(p) * vec3(.1031, .1030, .0973));
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p3 += dot(p3, p3.yzx + 33.33);
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return fract((p3.xx+p3.yz)*p3.zy);
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}
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// 2 out, 2 in...
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vec2 hash22(vec2 p) {
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vec3 p3 = fract(vec3(p.xyx) * vec3(.1031, .1030, .0973));
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p3 += dot(p3, p3.yzx+33.33);
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return fract((p3.xx+p3.yz)*p3.zy);
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}
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// 2 out, 3 in...
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vec2 hash23(vec3 p3) {
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p3 = fract(p3 * vec3(.1031, .1030, .0973));
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p3 += dot(p3, p3.yzx+33.33);
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return fract((p3.xx+p3.yz)*p3.zy);
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}
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// 3 out, 1 in...
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vec3 hash31(float p) {
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vec3 p3 = fract(vec3(p) * vec3(.1031, .1030, .0973));
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p3 += dot(p3, p3.yzx+33.33);
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return fract((p3.xxy+p3.yzz)*p3.zyx);
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}
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// 3 out, 2 in...
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vec3 hash32(vec2 p) {
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vec3 p3 = fract(vec3(p.xyx) * vec3(.1031, .1030, .0973));
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p3 += dot(p3, p3.yxz+33.33);
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return fract((p3.xxy+p3.yzz)*p3.zyx);
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}
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// 3 out, 3 in...
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vec3 hash33(vec3 p3) {
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p3 = fract(p3 * vec3(.1031, .1030, .0973));
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p3 += dot(p3, p3.yxz+33.33);
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return fract((p3.xxy + p3.yxx)*p3.zyx);
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}
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// 4 out, 1 in...
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vec4 hash41(float p) {
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vec4 p4 = fract(vec4(p) * vec4(.1031, .1030, .0973, .1099));
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p4 += dot(p4, p4.wzxy+33.33);
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return fract((p4.xxyz+p4.yzzw)*p4.zywx);
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}
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// 4 out, 2 in...
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vec4 hash42(vec2 p) {
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vec4 p4 = fract(vec4(p.xyxy) * vec4(.1031, .1030, .0973, .1099));
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p4 += dot(p4, p4.wzxy+33.33);
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return fract((p4.xxyz+p4.yzzw)*p4.zywx);
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}
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// 4 out, 3 in...
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vec4 hash43(vec3 p) {
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vec4 p4 = fract(vec4(p.xyzx) * vec4(.1031, .1030, .0973, .1099));
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p4 += dot(p4, p4.wzxy+33.33);
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return fract((p4.xxyz+p4.yzzw)*p4.zywx);
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}
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// 4 out, 4 in...
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vec4 hash44(vec4 p4) {
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p4 = fract(p4 * vec4(.1031, .1030, .0973, .1099));
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p4 += dot(p4, p4.wzxy+33.33);
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return fract((p4.xxyz+p4.yzzw)*p4.zywx);
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}
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////////////////////////////////////////////////////////////////////////////////////////
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// 2D Simplex Noise //
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// MIT License, https://www.shadertoy.com/view/Msf3WH //
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// Copyright © 2013 Inigo Quilez //
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////////////////////////////////////////////////////////////////////////////////////////
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float simplex2D(vec2 p) {
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const float K1 = 0.366025404; // (sqrt(3)-1)/2;
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const float K2 = 0.211324865; // (3-sqrt(3))/6;
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vec2 i = floor( p + (p.x+p.y)*K1 );
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vec2 a = p - i + (i.x+i.y)*K2;
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float m = step(a.y,a.x);
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vec2 o = vec2(m,1.0-m);
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vec2 b = a - o + K2;
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vec2 c = a - 1.0 + 2.0*K2;
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vec3 h = max( 0.5-vec3(dot(a,a), dot(b,b), dot(c,c) ), 0.0 );
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vec3 n = h*h*h*h*vec3( dot(a,-1.0 + 2.0 * hash22(i+0.0)),
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dot(b,-1.0 + 2.0 * hash22(i+o)),
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dot(c,-1.0 + 2.0 * hash22(i+1.0)));
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return 0.5 + 0.5 * dot( n, vec3(70.0) );
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}
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float simplex2DFractal(vec2 p) {
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mat2 m = mat2( 1.6, 1.2, -1.2, 1.6 );
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float f = 0.5000*simplex2D( p ); p = m*p;
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f += 0.2500*simplex2D( p ); p = m*p;
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f += 0.1250*simplex2D( p ); p = m*p;
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f += 0.0625*simplex2D( p ); p = m*p;
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return f;
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}
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////////////////////////////////////////////////////////////////////////////////////////
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// 3D Simplex Noise //
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// MIT License, https://www.shadertoy.com/view/XsX3zB //
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// Copyright © 2013 Nikita Miropolskiy //
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////////////////////////////////////////////////////////////////////////////////////////
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float simplex3D(vec3 p) {
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// skew constants for 3D simplex functions
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const float F3 = 0.3333333;
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const float G3 = 0.1666667;
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// 1. find current tetrahedron T and it's four vertices
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// s, s+i1, s+i2, s+1.0 - absolute skewed (integer) coordinates of T vertices
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// x, x1, x2, x3 - unskewed coordinates of p relative to each of T vertice
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// calculate s and x
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vec3 s = floor(p + dot(p, vec3(F3)));
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vec3 x = p - s + dot(s, vec3(G3));
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// calculate i1 and i2
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vec3 e = step(vec3(0.0), x - x.yzx);
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vec3 i1 = e*(1.0 - e.zxy);
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vec3 i2 = 1.0 - e.zxy*(1.0 - e);
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// x1, x2, x3
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vec3 x1 = x - i1 + G3;
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vec3 x2 = x - i2 + 2.0*G3;
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vec3 x3 = x - 1.0 + 3.0*G3;
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// 2. find four surflets and store them in d
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vec4 w, d;
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// calculate surflet weights
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w.x = dot(x, x);
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w.y = dot(x1, x1);
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w.z = dot(x2, x2);
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w.w = dot(x3, x3);
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// w fades from 0.6 at the center of the surflet to 0.0 at the margin
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w = max(0.6 - w, 0.0);
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// calculate surflet components
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d.x = dot(-0.5 + hash33(s), x);
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d.y = dot(-0.5 + hash33(s + i1), x1);
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d.z = dot(-0.5 + hash33(s + i2), x2);
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d.w = dot(-0.5 + hash33(s + 1.0), x3);
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// multiply d by w^4
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w *= w;
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w *= w;
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d *= w;
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// 3. return the sum of the four surflets
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return dot(d, vec4(52.0)) * 0.5 + 0.5;
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}
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// directional artifacts can be reduced by rotating each octave
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float simplex3DFractal(vec3 m) {
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// const matrices for 3D rotation
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const mat3 rot1 = mat3(-0.37, 0.36, 0.85,-0.14,-0.93, 0.34,0.92, 0.01,0.4);
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const mat3 rot2 = mat3(-0.55,-0.39, 0.74, 0.33,-0.91,-0.24,0.77, 0.12,0.63);
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const mat3 rot3 = mat3(-0.71, 0.52,-0.47,-0.08,-0.72,-0.68,-0.7,-0.45,0.56);
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return 0.5333333*simplex3D(m*rot1)
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+0.2666667*simplex3D(2.0*m*rot2)
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+0.1333333*simplex3D(4.0*m*rot3)
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+0.0666667*simplex3D(8.0*m);
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}
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`;
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}
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