File:Lyapunov 2.png
Size of this preview: 800 × 450 pixels. Other resolutions: 320 × 180 pixels | 640 × 360 pixels | 1,024 × 576 pixels | 1,280 × 720 pixels | 1,920 × 1,080 pixels.
Original file (1,920 × 1,080 pixels, file size: 164 KB, MIME type: image/png)
File information
Structured data
Captions
Summary edit
DescriptionLyapunov 2.png |
English: MB set rendered using Lyapunov exponent |
Date | |
Source |
Own work Shader "Fractals/Coloring Techniques/Escape-Time"
{
Properties
{
_MainTex ("Texture", 2D) = "white" {}
_Iter ("Iterations", Range(0, 250)) = 100
_Dividend ("Dividend", Range (0, 0.5)) = 15
_Zoom ("Zoom", Range (0.1, 1000)) = 0.65
_Position ("Offset", Vector) = (0.4, 0, 0, 0)
_Background ("Background", Color) = (0, 0.25, 1, 0)
_Origin ("Origin", Color) = (0, 0, 0, 0)
}
SubShader
{
Cull Off ZWrite Off ZTest Always
Pass
{
CGPROGRAM
#pragma vertex vert
#pragma fragment frag
#include "UnityCG.cginc"
#include "Complex.cginc"
#include "FractalOperations.cginc"
struct appdata
{
float4 vertex : POSITION;
float2 uv : TEXCOORD0;
};
struct v2f
{
float2 uv : TEXCOORD0;
float4 vertex : SV_POSITION;
};
sampler2D _MainTex;
int _Iter;
fixed _Zoom;
fixed _Dividend;
float2 _Position;
fixed4 _Background;
fixed4 _Origin;
v2f vert (appdata v)
{
v2f o;
o.vertex = UnityObjectToClipPos(v.vertex);
o.uv = v.uv;
return o;
}
fixed4 frag (v2f i) : SV_Target
{
float x0 = (ClampScaleX(i.uv) + _Position.x) / _Zoom;
float y0 = (ClampScaleY(i.uv) + _Position.y) / _Zoom;
float2 z = float2(x0, y0);
float2 c = float2(x0, y0);
int iteration = 0;
float l = 0;
while (IsBounded(z, 40) && iteration < _Iter)
{
l += log (cabs(2 * z));
z = cmul(z, z);
z += c;
iteration++;
}
l /= iteration;
if (l > 0)
return _Background;
float3 color = tanh(l >= 0 ?
float3(0, 0.7 * log(1 + l), log(1 + l)) :
3 * float3(_Origin.x-l, _Origin.y-l * 0.1, _Origin.z));
return float4(color + _Dividend, 1);
}
ENDCG
}
}
CustomEditor "FractalEditor"
}
|
Author | JPBotelho |
Licensing edit
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 15:41, 6 February 2018 | 1,920 × 1,080 (164 KB) | JPBotelho (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
- Usage on en.wikibooks.org