From 113daf5b75ffecb6aaf451f5d2f1a9fafc320e02 Mon Sep 17 00:00:00 2001 From: Patricio Gonzalez Vivo Date: Thu, 3 Sep 2015 17:20:53 -0400 Subject: [PATCH] adding noise experiments --- 11/2^N.png | Bin 0 -> 876 bytes 11/2d-snoise-normal.frag | 83 ++++++++++++++++++++++++++++++ 11/3d-noise.frag | 2 +- 11/3d-snoise-normal.frag | 108 +++++++++++++++++++++++++++++++++++++++ 11/README.md | 68 +++++++++++++++++------- 11/lava-lamp.frag | 65 +++++++++++++++++++++++ 11/lines.frag | 87 +++++++++++++++++++++++++++++++ 11/robert_hodgin.jpg | Bin 0 -> 263894 bytes 11/shape.frag | 89 ++++++++++++++++++++++++++++++++ 9 files changed, 483 insertions(+), 19 deletions(-) create mode 100644 11/2^N.png create mode 100644 11/2d-snoise-normal.frag create mode 100644 11/3d-snoise-normal.frag create mode 100644 11/lava-lamp.frag create mode 100644 11/lines.frag create mode 100644 11/robert_hodgin.jpg create mode 100644 11/shape.frag diff --git a/11/2^N.png b/11/2^N.png new file mode 100644 index 0000000000000000000000000000000000000000..2adf2df04500c11178c0abdc1e0fc6459f383b10 GIT binary patch literal 876 zcmeAS@N?(olHy`uVBq!ia0vp^T0pGG0VEi@^3z;^6id3JuOkD)#(wTUiL5|AQ+jP}e zXINBD3TZ^mie`Ap!*J$p(GJ0f-K%S=?pC|J=6!XUQTw)#i1bwH<3i=JF(wmcy?#(l<=gyqc}om9?SpZ>F3 zxIC#c`(OW#)dKC_3bQm=d41nc6W6=WyZly(_}Tl9ctX2Z-e!>3`MqGF=_KZ?+y5N1 z;udXg=*V7wf>ku=jI(#aL_afTb?wzzRiPri8?&!mo9dmtrTEh$hlPDA8I!+Ukq8l- zmi}F{gXLh$A`8g_^;`1J{o8bP8&`_U4$1odO^X7u?r4;-%cMm-6qxco@Q=;O^0&;1 zi~VQShpenb>@4YRVU7R{XKtqYt+`N-C?V* z7B8(xn-kzVzwgr;nZ_Hlem^mrd1Gy6!(q9G_s#s4JF~Y0H*D+g|1u$0 literal 0 HcmV?d00001 diff --git a/11/2d-snoise-normal.frag b/11/2d-snoise-normal.frag new file mode 100644 index 0000000..3706a76 --- /dev/null +++ b/11/2d-snoise-normal.frag @@ -0,0 +1,83 @@ +// Author @patriciogv - 2015 +// http://patriciogonzalezvivo.com + +#ifdef GL_ES +precision mediump float; +#endif + +uniform vec2 u_resolution; +uniform vec2 u_mouse; +uniform float u_time; + +vec3 mod289(vec3 x) { return x - floor(x * (1.0 / 289.0)) * 289.0; } +vec2 mod289(vec2 x) { return x - floor(x * (1.0 / 289.0)) * 289.0; } +vec3 permute(vec3 x) { return mod289(((x*34.0)+1.0)*x); } + +float snoise(vec2 v) { + const vec4 C = vec4(0.211324865405187, // (3.0-sqrt(3.0))/6.0 + 0.366025403784439, // 0.5*(sqrt(3.0)-1.0) + -0.577350269189626, // -1.0 + 2.0 * C.x + 0.024390243902439); // 1.0 / 41.0 + // First corner + vec2 i = floor(v + dot(v, C.yy) ); + vec2 x0 = v - i + dot(i, C.xx); + + // Other corners + vec2 i1; + i1 = (x0.x > x0.y) ? vec2(1.0, 0.0) : vec2(0.0, 1.0); + vec4 x12 = x0.xyxy + C.xxzz; + x12.xy -= i1; + + // Permutations + i = mod289(i); // Avoid truncation effects in permutation + vec3 p = permute( permute( i.y + vec3(0.0, i1.y, 1.0 )) + + i.x + vec3(0.0, i1.x, 1.0 )); + + vec3 m = max(0.5 - vec3(dot(x0,x0), dot(x12.xy,x12.xy), dot(x12.zw,x12.zw)), 0.0); + m = m*m ; + m = m*m ; + + // Gradients: 41 points uniformly over a line, mapped onto a diamond. + // The ring size 17*17 = 289 is close to a multiple of 41 (41*7 = 287) + + vec3 x = 2.0 * fract(p * C.www) - 1.0; + vec3 h = abs(x) - 0.5; + vec3 ox = floor(x + 0.5); + vec3 a0 = x - ox; + + // Normalise gradients implicitly by scaling m + // Approximation of: m *= inversesqrt( a0*a0 + h*h ); + m *= 1.79284291400159 - 0.85373472095314 * ( a0*a0 + h*h ); + + // Compute final noise value at P + vec3 g; + g.x = a0.x * x0.x + h.x * x0.y; + g.yz = a0.yz * x12.xz + h.yz * x12.yw; + return 130.0 * dot(m, g); +} + +void main(){ + vec2 st = gl_FragCoord.xy/u_resolution.xy; + + float scale = 10.0; + st += vec2(u_time*0.1); + st *= scale; + + vec2 offset = vec2(1.)/u_resolution.xy; + float center = snoise(vec2(st.x, st.y)); + float topLeft = snoise(vec2(st.x - offset.x, st.y - offset.y)); + float left = snoise(vec2(st.x - offset.x, st.y)); + float bottomLeft = snoise(vec2(st.x - offset.x, st.y + offset.y)); + float top = snoise(vec2(st.x, st.y - offset.y)); + float bottom = snoise(vec2(st.x, st.y + offset.y)); + float topRight = snoise(vec2(st.x + offset.x, st.y - offset.y)); + float right = snoise(vec2(st.x + offset.x, st.y)); + float bottomRight= snoise(vec2(st.x + offset.x, st.y + offset.y)); + + float dX = topRight + 2.0 * right + bottomRight - topLeft - 2.0 * left - bottomLeft; + float dY = bottomLeft + 2.0 * bottom + bottomRight - topLeft - 2.0 * top - topRight; + + vec3 N = normalize(vec3( dX, dY, 0.01))*.5+.5; + + gl_FragColor= vec4(N,1.); +} \ No newline at end of file diff --git a/11/3d-noise.frag b/11/3d-noise.frag index 4f1345b..8e6db17 100644 --- a/11/3d-noise.frag +++ b/11/3d-noise.frag @@ -49,7 +49,7 @@ void main() { vec2 st = gl_FragCoord.xy/u_resolution.xy; vec3 color = vec3(0.0); - vec3 pos = vec3(st*5.0,u_time*0.1); + vec3 pos = vec3(st*5.0,u_time*0.5); color = vec3(noise(pos)); diff --git a/11/3d-snoise-normal.frag b/11/3d-snoise-normal.frag new file mode 100644 index 0000000..ba33196 --- /dev/null +++ b/11/3d-snoise-normal.frag @@ -0,0 +1,108 @@ +// Author @patriciogv - 2015 +// http://patriciogonzalezvivo.com + +#ifdef GL_ES +precision mediump float; +#endif + +uniform vec2 u_resolution; +uniform vec2 u_mouse; +uniform float u_time; + +vec3 mod289(vec3 x) { return x - floor(x * (1.0 / 289.0)) * 289.0; } +vec4 mod289(vec4 x) { return x - floor(x * (1.0 / 289.0)) * 289.0; } +vec4 permute(vec4 x) { return mod289(((x*34.0)+1.0)*x); } +vec4 taylorInvSqrt(vec4 r) { return 1.79284291400159 - 0.85373472095314 * r; } +float snoise(vec3 v) { + const vec2 C = vec2(1.0/6.0, 1.0/3.0) ; + const vec4 D = vec4(0.0, 0.5, 1.0, 2.0); + + // First corner + vec3 i = floor(v + dot(v, C.yyy) ); + vec3 x0 = v - i + dot(i, C.xxx) ; + + // Other corners + vec3 g = step(x0.yzx, x0.xyz); + vec3 l = 1.0 - g; + vec3 i1 = min( g.xyz, l.zxy ); + vec3 i2 = max( g.xyz, l.zxy ); + + vec3 x1 = x0 - i1 + C.xxx; + vec3 x2 = x0 - i2 + C.yyy; // 2.0*C.x = 1/3 = C.y + vec3 x3 = x0 - D.yyy; // -1.0+3.0*C.x = -0.5 = -D.y + + // Permutations + i = mod289(i); + vec4 p = permute( permute( permute( + i.z + vec4(0.0, i1.z, i2.z, 1.0 )) + + i.y + vec4(0.0, i1.y, i2.y, 1.0 )) + + i.x + vec4(0.0, i1.x, i2.x, 1.0 )); + + // Gradients: 7x7 points over a square, mapped onto an octahedron. + // The ring size 17*17 = 289 is close to a multiple of 49 (49*6 = 294) + float n_ = 0.142857142857; // 1.0/7.0 + vec3 ns = n_ * D.wyz - D.xzx; + + vec4 j = p - 49.0 * floor(p * ns.z * ns.z); // mod(p,7*7) + + vec4 x_ = floor(j * ns.z); + vec4 y_ = floor(j - 7.0 * x_ ); // mod(j,N) + + vec4 x = x_ *ns.x + ns.yyyy; + vec4 y = y_ *ns.x + ns.yyyy; + vec4 h = 1.0 - abs(x) - abs(y); + + vec4 b0 = vec4( x.xy, y.xy ); + vec4 b1 = vec4( x.zw, y.zw ); + + vec4 s0 = floor(b0)*2.0 + 1.0; + vec4 s1 = floor(b1)*2.0 + 1.0; + vec4 sh = -step(h, vec4(0.0)); + + vec4 a0 = b0.xzyw + s0.xzyw*sh.xxyy ; + vec4 a1 = b1.xzyw + s1.xzyw*sh.zzww ; + + vec3 p0 = vec3(a0.xy,h.x); + vec3 p1 = vec3(a0.zw,h.y); + vec3 p2 = vec3(a1.xy,h.z); + vec3 p3 = vec3(a1.zw,h.w); + + //Normalise gradients + vec4 norm = taylorInvSqrt(vec4(dot(p0,p0), dot(p1,p1), dot(p2, p2), dot(p3,p3))); + p0 *= norm.x; + p1 *= norm.y; + p2 *= norm.z; + p3 *= norm.w; + + // Mix final noise value + vec4 m = max(0.6 - vec4(dot(x0,x0), dot(x1,x1), dot(x2,x2), dot(x3,x3)), 0.0); + m = m * m; + return 42.0 * dot( m*m, vec4(dot(p0,x0), dot(p1,x1), + dot(p2,x2), dot(p3,x3) ) ); +} + +void main(){ + vec2 st = gl_FragCoord.xy/u_resolution.xy; + + float scale = 10.0; + st *= scale; + float t = u_time*0.3; + + vec2 offset = vec2(1.)/u_resolution.xy; + float center = snoise(vec3(st.x, st.y, t)); + float topLeft = snoise(vec3(st.x - offset.x, st.y - offset.y, t)); + float left = snoise(vec3(st.x - offset.x, st.y, t)); + float bottomLeft = snoise(vec3(st.x - offset.x, st.y + offset.y, t)); + float top = snoise(vec3(st.x, st.y - offset.y, t)); + float bottom = snoise(vec3(st.x, st.y + offset.y, t)); + float topRight = snoise(vec3(st.x + offset.x, st.y - offset.y, t)); + float right = snoise(vec3(st.x + offset.x, st.y, t)); + float bottomRight= snoise(vec3(st.x + offset.x, st.y + offset.y, t)); + + float dX = topRight + 2.0 * right + bottomRight - topLeft - 2.0 * left - bottomLeft; + float dY = bottomLeft + 2.0 * bottom + bottomRight - topLeft - 2.0 * top - topRight; + + vec3 N = normalize(vec3( dX, dY, 0.01))*.5+.5; + + gl_FragColor= vec4(N,1.); +} \ No newline at end of file diff --git a/11/README.md b/11/README.md index b2cd81e..4173bc6 100644 --- a/11/README.md +++ b/11/README.md @@ -3,15 +3,15 @@ ## Noise -Break time! We have been playing with all this random functions that looks like TV white noise, our head is still spinning around thinking on shaders, and our eyes are tired. Time to get out side for a walk! +Break time! We have been playing with all this random functions that looks like TV white noise, our head is still spinning around thinking on shaders, and our eyes are tired. Time to get out for a walk! -We feel the air in our face, the sun in our nose and chicks. The world is such a vivid and rich places. Colors, textures, sounds. While we walk we can avoid notice the surface of the roads, rocks, trees and clouds. We note the stochasticity of textures, there is random on nature. But definitely not the type of random we were making. The “real world” is such a rich place. How we can approximate to this level of variety computationally? +We feel the air in our face, the sun in our nose and chicks. The world is such a vivid and rich place. Colors, textures, sounds. While we walk we can't avoid noticing the surface of the roads, rocks, trees and clouds. We note the stochasticity of textures, there is random on nature. But definitely not the type of random we were making in the previus chapter. The “real world” is such a rich place. How we can approximate to this level of variety computationally? We are on the same path of thoughts that Ken Perlin's walk through on 1982 when he was commissioned with the job of generating "more realistic" textures for a new disney movie call "Tron". In response to that he came up with an elegant *oscar winner* noise algorithm. -The following is not the Perlin noise algorithm, but is a good starting point to start getting out head around the idea of how to generate *noise* o *smooth random*. +The following is not the clasic Perlin noise algorithm, but is a good starting point to understand how to generate *smooth random* aka *noise*. -Look the following graph, is in essence what we where doing on line 36 and 37 on the last example of the previus chapter. We are computing the ```rand()``` of the integers of `x` (the `i` variable). +In the following graph you will see what we were doing on the previus chapter, obtaining ```rand()``` numbers of the integers of the `x` position (assigning it to `i` variable), while we keep the [```fract()```](.../glossary/?search=fract) part of it (and storing it on the `f` variable).
-By uncommenting the following line, you can make a linear interpolation between the random value of an integer to the next one. +You will see also, two commented lines. The first one interpolates linearly between the random value of the integer position and it next one. ```glsl y = mix(rand(i), rand(i + 1.0), f); ``` -At this point we have learn that we can do better than a linear interpolation. Right? By uncommenting the following line, we will use the native ```smoothstep()``` to make a *smooth* transition between the previous random values. +Uncomment it an see how that looks. See how we use the [```fract()```](.../glossary/?search=fract) value store in `f` to [```mix()```](.../glossary/?search=mix) the two random values. + +At this point on the book, we learned that we can do better than a linear interpolation. Right? +The following commented line, will transfor the linear interpolation of `f` with a [```smoothstep()```](.../glossary/?search=smoothstep) interpolation. ```glsl y = mix(rand(i), rand(i + 1.0), smoothstep(0.,1.,f)); ``` -You will find in other implementations that people use cubic curves ( like the following formula) instead of using a ```smoothstep()```. +Uncomment that line and notice how the transition between the peaks got smooth. On some noise implementations you will find that people that some programers prefere to code their own cubic curves (like the following formula) instead of using the [```smoothstep()```](.../glossary/?search=smoothstep). ```glsl -float u = f * f * (3.0 - 2.0 * f ); -y = mix(rand(i), rand(i + 1.0), u); +float u = f * f * (3.0 - 2.0 * f ); // custom cubic curve +y = mix(rand(i), rand(i + 1.0), u); // using it in the interpolation ``` +The *smooth random* is a game changer for graphical coders, it provides the hability to generate images and geometries with an organic feeling. Perlin's Noise Algorithm have been reimplemented over and over in different lenguage and dimensions for all kind of uses to create all sort of mesmerizing pieces. + +![Robert Hodgin - Written Images (2010)](robert_hodgin.jpg) + +Now is your turn: + +* Make your own ```float noise(float x)``` function. +* Use the noise funtion to animate a shape by moving it, rotating it or scaling it. +* Make an animated composition of several shapes 'dancing' together using noise. +* Construct "organic-looking" shapes using the noise function. +* Once you have your "creature", try to develop further this into a character by assigning it a particular movement. + ## 2D Noise -Now that we understand how noise is made in one dimension, is time to port it to two. Check how on the following code the interpolation (line 29) is made between the for corners of a square (lines 22-25). +Now that we know how to do noise in one dimension, is time to port it to two. For that instead of interpolating between two points (```fract(x)``` and ```fract(x)+1.0```) we are going to interpolate between the four coorners of square (```fract(st)```, ```fract(st)+vec2(1.,0.)```, ```fract(st)+vec2(0.,1.)``` and ```fract(st)+vec2(1.,1.)```). -
+Take a look to the following 2D noise function, see how on line 32 we interpolate random values (lines 25-28) acording to the the position of ```st``` the four corners of the squared area. -At this point you can recognize what's going on at line 40. We are scaling and "moving" the space, right? +
-Try: +To this 2D noise at line 41 we scale the space by 5 and "move" it acording to time. No try: * Change the multiplier. Try to animate it. @@ -58,13 +73,11 @@ Try: * Change the u_time by the normalize values of the mouse coordinates. -* Now that you achieve some control over noise & chaos, is time to mix it with previous knowledge. Making a composition of rectangles, colors and noise that resemble some of the complexity of the texture of the following painting made by [Mark Rothko](http://en.wikipedia.org/wiki/Mark_Rothko). - -![Mark Rothko - Three (1950)](rothko.jpg) +* What if we treat the gradient of the noise as a distance field? Make something interesing with it. -## Simplex Noise +* Now that you achieve some control over order and chaos, is time to use that knowledge. Make a composition of rectangles, colors and noise that resemble some of the complexity of the texture of the following painting made by [Mark Rothko](http://en.wikipedia.org/wiki/Mark_Rothko). -## Digital Jackson Pollock +![Mark Rothko - Three (1950)](rothko.jpg) ## Using 2D Noise to rotate the space @@ -105,3 +118,22 @@ pattern = fract(lines(pos, noise(pos*vec2(2.,0.5)),0.5)*2.0); Nothing like having some control over the chaos and chances. Right? Noise is one of those subjects that you can dig and always find new exciting formulas. In fact, noise means different things for different people. Musicians will think in audio noise, communicators into interference, and astrophysics on cosmic microwave background. On the next chapter we will use some related concepts from sign and audio behavior to our noise function to explore more uses of noise. +## Simplex Noise + +Ken Perlin though the success of his algorithm wasn't enough. He thought it could performance better. In Siggraph 2001 he presented the "simplex noise" in wich he achive the following improvements over the previus one: + +* An algorithm with lower computational complexity and fewer multiplications. +* A noise that scales to higher dimensions with less computational cost. +* A noise without directional artifacts +* A noise with well-defined and continuous gradients that can be computed quite cheaply +* An algorithm that is easy to implemnt in hardware + +Yeah, right? How he did that? Well we saw that for one dimension he was smoothly interpolating two points and for two dimensions he was interpolating 4 points (coorners of a square); also we can correctly preasume that for [three (see an implementation here)](../edit.html#11/3d-noise.frag) and four dimensions we need to interpolate 8 and 16 points. Right? In other words for N dimensions you need to smoothly interpolate 2 to the N points (2^N). + +![](2^N.png) + + +## Digital Jackson Pollock + + + diff --git a/11/lava-lamp.frag b/11/lava-lamp.frag new file mode 100644 index 0000000..1582781 --- /dev/null +++ b/11/lava-lamp.frag @@ -0,0 +1,65 @@ +// Author @patriciogv - 2015 +// http://patriciogonzalezvivo.com + +#ifdef GL_ES +precision mediump float; +#endif + +uniform vec2 u_resolution; +uniform vec2 u_mouse; +uniform float u_time; + +vec3 mod289(vec3 x) { return x - floor(x * (1.0 / 289.0)) * 289.0; } +vec2 mod289(vec2 x) { return x - floor(x * (1.0 / 289.0)) * 289.0; } +vec3 permute(vec3 x) { return mod289(((x*34.0)+1.0)*x); } + +float snoise(vec2 v) { + const vec4 C = vec4(0.211324865405187, // (3.0-sqrt(3.0))/6.0 + 0.366025403784439, // 0.5*(sqrt(3.0)-1.0) + -0.577350269189626, // -1.0 + 2.0 * C.x + 0.024390243902439); // 1.0 / 41.0 + vec2 i = floor(v + dot(v, C.yy) ); + vec2 x0 = v - i + dot(i, C.xx); + vec2 i1; + i1 = (x0.x > x0.y) ? vec2(1.0, 0.0) : vec2(0.0, 1.0); + vec4 x12 = x0.xyxy + C.xxzz; + x12.xy -= i1; + i = mod289(i); // Avoid truncation effects in permutation + vec3 p = permute( permute( i.y + vec3(0.0, i1.y, 1.0 )) + + i.x + vec3(0.0, i1.x, 1.0 )); + + vec3 m = max(0.5 - vec3(dot(x0,x0), dot(x12.xy,x12.xy), dot(x12.zw,x12.zw)), 0.0); + m = m*m ; + m = m*m ; + vec3 x = 2.0 * fract(p * C.www) - 1.0; + vec3 h = abs(x) - 0.5; + vec3 ox = floor(x + 0.5); + vec3 a0 = x - ox; + m *= 1.79284291400159 - 0.85373472095314 * ( a0*a0 + h*h ); + vec3 g; + g.x = a0.x * x0.x + h.x * x0.y; + g.yz = a0.yz * x12.xz + h.yz * x12.yw; + return 130.0 * dot(m, g); +} + +void main() { + vec2 st = gl_FragCoord.xy/u_resolution.xy; + vec3 color = vec3(0.0); + vec2 pos = vec2(st*3.); + + float DF = 0.0; + + // Add a random position + float a = 0.0; + vec2 vel = vec2(u_time*.1); + DF += snoise(pos+vel)*.25+.25; + + // Add a random position + a = snoise(pos*vec2(cos(u_time*0.15),sin(u_time*0.1))*0.1)*3.1415; + vel = vec2(cos(a),sin(a)); + DF += snoise(pos+vel)*.25+.25; + + color = vec3( smoothstep(.7,.75,fract(DF)) ); + + gl_FragColor = vec4(color,1.0); +} \ No newline at end of file diff --git a/11/lines.frag b/11/lines.frag new file mode 100644 index 0000000..9a06cfb --- /dev/null +++ b/11/lines.frag @@ -0,0 +1,87 @@ +// Author @patriciogv - 2015 +// http://patriciogonzalezvivo.com + +#ifdef GL_ES +precision mediump float; +#endif + +uniform vec2 u_resolution; +uniform vec2 u_mouse; +uniform float u_time; + +vec3 mod289(vec3 x) { return x - floor(x * (1.0 / 289.0)) * 289.0; } +vec2 mod289(vec2 x) { return x - floor(x * (1.0 / 289.0)) * 289.0; } +vec3 permute(vec3 x) { return mod289(((x*34.0)+1.0)*x); } + +float snoise(vec2 v) { + const vec4 C = vec4(0.211324865405187, // (3.0-sqrt(3.0))/6.0 + 0.366025403784439, // 0.5*(sqrt(3.0)-1.0) + -0.577350269189626, // -1.0 + 2.0 * C.x + 0.024390243902439); // 1.0 / 41.0 + // First corner + vec2 i = floor(v + dot(v, C.yy) ); + vec2 x0 = v - i + dot(i, C.xx); + + // Other corners + vec2 i1; + i1 = (x0.x > x0.y) ? vec2(1.0, 0.0) : vec2(0.0, 1.0); + vec4 x12 = x0.xyxy + C.xxzz; + x12.xy -= i1; + + // Permutations + i = mod289(i); // Avoid truncation effects in permutation + vec3 p = permute( permute( i.y + vec3(0.0, i1.y, 1.0 )) + + i.x + vec3(0.0, i1.x, 1.0 )); + + vec3 m = max(0.5 - vec3(dot(x0,x0), dot(x12.xy,x12.xy), dot(x12.zw,x12.zw)), 0.0); + m = m*m ; + m = m*m ; + + // Gradients: 41 points uniformly over a line, mapped onto a diamond. + // The ring size 17*17 = 289 is close to a multiple of 41 (41*7 = 287) + + vec3 x = 2.0 * fract(p * C.www) - 1.0; + vec3 h = abs(x) - 0.5; + vec3 ox = floor(x + 0.5); + vec3 a0 = x - ox; + + // Normalise gradients implicitly by scaling m + // Approximation of: m *= inversesqrt( a0*a0 + h*h ); + m *= 1.79284291400159 - 0.85373472095314 * ( a0*a0 + h*h ); + + // Compute final noise value at P + vec3 g; + g.x = a0.x * x0.x + h.x * x0.y; + g.yz = a0.yz * x12.xz + h.yz * x12.yw; + return 130.0 * dot(m, g); +} + +vec3 nNoise(vec2 st) { + vec2 offset = vec2(1.)/u_resolution.xy; + float center = snoise(vec2(st.x, st.y)); + float topLeft = snoise(vec2(st.x - offset.x, st.y - offset.y)); + float left = snoise(vec2(st.x - offset.x, st.y)); + float bottomLeft = snoise(vec2(st.x - offset.x, st.y + offset.y)); + float top = snoise(vec2(st.x, st.y - offset.y)); + float bottom = snoise(vec2(st.x, st.y + offset.y)); + float topRight = snoise(vec2(st.x + offset.x, st.y - offset.y)); + float right = snoise(vec2(st.x + offset.x, st.y)); + float bottomRight= snoise(vec2(st.x + offset.x, st.y + offset.y)); + + float dX = topRight + 2.0 * right + bottomRight - topLeft - 2.0 * left - bottomLeft; + float dY = bottomLeft + 2.0 * bottom + bottomRight - topLeft - 2.0 * top - topRight; + + return normalize(vec3( dX, dY, 0.01))*.5+.5; +} + +void main(){ + vec2 st = gl_FragCoord.xy/u_resolution.xy; + + float scale = 10.0; + st *= scale; + + st += nNoise(st).xy*.1*sin(u_time); + float df = sin(fract(st.y)*10.); + + gl_FragColor= vec4(vec3(smoothstep(.9,.99,df)),1.); +} \ No newline at end of file diff --git a/11/robert_hodgin.jpg b/11/robert_hodgin.jpg new file mode 100644 index 0000000000000000000000000000000000000000..3fc91f58c5f1d712064c6ba4bae3658fa33030c5 GIT binary patch literal 263894 zcmd422UJr*zb_hkQ9wFMZ$`SHfD{vYl@_WL5d@SHkS;BuN|PQyL7Md5I|xeeNQcm+ zcL<#%JihPVd(L@pop;uHcir#aH_6Icdu8^_?7e6H^Z%87J9E1Xc%Y`FsszBn!2zh; zeE_#efc!s>{=MMh;^F?I;N#)p;t}8z5D?(w;}Z}P5fTs(5#r+$k`NLR|DzBPl8}-R zlm6r2AC3H@fq$HJ_a(kN>z`HrKmFXc11O1ci}3+?IFtZfN*p{&oZC(SD*y)oAjG>H z?!T3P42GBl2ago@-dzRb2LK$ryMjYNfJaP(Pl!)}gNug`xT`}+MNG{uOhUsUt3%5v zV&NOHTz<`Tml?Vk0M;uL9jv@yS<-h1ah3^Y-vJtgF_1}8ld;2`esoL`|Lde3v z1&>R!UKchLeD1X47TqdUc!FeIYH^XSPrA`MpcXh-c*;1RY_(8|gDV}X)dRw<-)n&t zG3kws9Exe}llGocg}fR5S}R5n>qcJUW z;M97!I9Epn0W)}|EPT^GLtIZ7zj6zhlxpV10vbZ#&87vgs1|-d~J@ytLp}t)_(p#~>6q{Q(Qh)e?K>l3UB^GfD@W(CAR%f^P3-`;_+u78HdsA_{ zNjGWsow9;QZUMYMHBDLy9W_RtPYr(_%bW9XUmt_1T1WqeUv9G90!S&T)&nYV|NFC| 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x12 = x0.xyxy + C.xxzz; + x12.xy -= i1; + + // Permutations + i = mod289(i); // Avoid truncation effects in permutation + vec3 p = permute( permute( i.y + vec3(0.0, i1.y, 1.0 )) + + i.x + vec3(0.0, i1.x, 1.0 )); + + vec3 m = max(0.5 - vec3(dot(x0,x0), dot(x12.xy,x12.xy), dot(x12.zw,x12.zw)), 0.0); + m = m*m ; + m = m*m ; + + // Gradients: 41 points uniformly over a line, mapped onto a diamond. + // The ring size 17*17 = 289 is close to a multiple of 41 (41*7 = 287) + + vec3 x = 2.0 * fract(p * C.www) - 1.0; + vec3 h = abs(x) - 0.5; + vec3 ox = floor(x + 0.5); + vec3 a0 = x - ox; + + // Normalise gradients implicitly by scaling m + // Approximation of: m *= inversesqrt( a0*a0 + h*h ); + m *= 1.79284291400159 - 0.85373472095314 * ( a0*a0 + h*h ); + + // Compute final noise value at P + vec3 g; + g.x = a0.x * x0.x + h.x * x0.y; + g.yz = a0.yz * x12.xz + h.yz * x12.yw; + return 130.0 * dot(m, g); +} + +mat2 rotate2d(float _angle){ + return mat2(cos(_angle),-sin(_angle), + sin(_angle),cos(_angle)); +} + +float shape(vec2 st, float radius) { + st = vec2(0.5)-st; + float r = length(st)*2.0; + float a = atan(st.y,st.x); + float m = abs(mod(a+u_time*2.,3.14*2.)-3.14)/3.6; + m += snoise(st+u_time*0.1)*.8; + a *= 1.+abs(atan(u_time*0.2))*.1; + // a *= 1.+snoise(st+u_time*0.1)*0.1; + // a *= 1.+snoise(vec2(a,r)+u_time*0.1)*.1; + float f = (cos(a*50.)*.1*pow(m,2.))+radius; + return 1.-smoothstep(f,f+0.007,r); +} + +float shapeBorder(vec2 st, float radius, float width) { + return shape(st,radius)-shape(st,radius-width); +} + +void main() { + vec2 st = gl_FragCoord.xy/u_resolution.xy; + vec3 color = vec3(1.0) * shapeBorder(st,0.8,0.02); + + gl_FragColor = vec4( color, 1.0 ); +} \ No newline at end of file