lenia: more smoothing, better kernel generator
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13 changed files with 95 additions and 172 deletions
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@ -3,11 +3,8 @@
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Properties
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{
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_LastFrame ("Texture", 2D) = "white" {}
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// _Radius ("Radius", Range(1,100)) = 10
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_GrowtCenter ("Growth fn center (mu)", Range(0, 1)) = 0.2
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_GrowthWidth ("Growth fn width (sigma / std deviation)", Range(0, 1)) = 0.07
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// _KSharpness ("Kernel sharpness", Range(1, 100)) = 2
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// _KOffset ("Kernel offset", Range(0, 1)) = 0.2
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_Speed ("Speed factor", Range(0.001, 0.5)) = 0.1
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}
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SubShader
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@ -37,11 +34,8 @@
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};
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sampler2D _LastFrame;
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// int _Radius;
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float _GrowtCenter;
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float _GrowthWidth;
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// float _KSharpness;
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// float _KOffset;
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float _Speed;
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v2f vert (appdata v)
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@ -49,15 +43,13 @@
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v2f o;
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o.vertex = UnityObjectToClipPos(v.vertex);
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o.uv = v.uv;
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return o;
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}
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float kernel(float p) {
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float r = p / 8.0;
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float k_sharpness=28;
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float k_offset =0.435;
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float k_sharpness = 28;
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float k_offset = 0.435;
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return exp(-((r - k_offset) * (r - k_offset)) * k_sharpness);
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// float r = p / _Radius;
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// // -- normal
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@ -94,31 +86,8 @@
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const float resolution = 512.0;
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const float d = 1.0 / resolution;
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// generated by the rust program
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const int Radius = 16;
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// /*
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#define RADIUS 16
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// kernel LUT size is 544 bytes
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const half Kernel[17][16] = {
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{0.0205, 0.0678, 0.1799, 0.3835, 0.6569, 0.9041, 0.9998, 0.8884, 0.6343, 0.3639, 0.1678, 0.0621, 0.0185, 0.0044, 0.0009, 0.0001, },
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{0.0346, 0.0871, 0.2065, 0.4147, 0.6847, 0.9193, 0.9987, 0.8756, 0.6186, 0.3520, 0.1611, 0.0593, 0.0176, 0.0042, 0.0008, 0.0001, },
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{0.0871, 0.1546, 0.2921, 0.5082, 0.7624, 0.9568, 0.9889, 0.8345, 0.5721, 0.3177, 0.1425, 0.0516, 0.0151, 0.0035, 0.0007, 0.0001, },
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{0.2065, 0.2921, 0.4459, 0.6569, 0.8699, 0.9931, 0.9541, 0.7600, 0.4974, 0.2659, 0.1156, 0.0407, 0.0116, 0.0027, 0.0005, 0.0001, },
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{0.4147, 0.5082, 0.6569, 0.8305, 0.9667, 0.9931, 0.8756, 0.6501, 0.4014, 0.2043, 0.0852, 0.0290, 0.0080, 0.0018, 0.0003, 0.0000, },
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{0.6847, 0.7624, 0.8699, 0.9667, 0.9987, 0.9240, 0.7445, 0.5120, 0.2961, 0.1425, 0.0567, 0.0185, 0.0049, 0.0011, 0.0002, 0.0000, },
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{0.9193, 0.9568, 0.9931, 0.9931, 0.9240, 0.7753, 0.5721, 0.3639, 0.1966, 0.0891, 0.0336, 0.0105, 0.0027, 0.0006, 0.0001, 0.0000, },
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{0.9987, 0.9889, 0.9541, 0.8756, 0.7445, 0.5721, 0.3887, 0.2292, 0.1156, 0.0493, 0.0176, 0.0052, 0.0013, 0.0003, 0.0000, 0.0000, },
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{0.8756, 0.8345, 0.7600, 0.6501, 0.5120, 0.3639, 0.2292, 0.1258, 0.0593, 0.0238, 0.0080, 0.0023, 0.0005, 0.0001, 0.0000, 0.0000, },
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{0.6186, 0.5721, 0.4974, 0.4014, 0.2961, 0.1966, 0.1156, 0.0593, 0.0263, 0.0099, 0.0032, 0.0009, 0.0002, 0.0000, 0.0000, 0.0000, },
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{0.3520, 0.3177, 0.2659, 0.2043, 0.1425, 0.0891, 0.0493, 0.0238, 0.0099, 0.0035, 0.0011, 0.0003, 0.0001, 0.0000, 0.0000, 0.0000, },
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{0.1611, 0.1425, 0.1156, 0.0852, 0.0567, 0.0336, 0.0176, 0.0080, 0.0032, 0.0011, 0.0003, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, },
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{0.0593, 0.0516, 0.0407, 0.0290, 0.0185, 0.0105, 0.0052, 0.0023, 0.0009, 0.0003, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, },
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{0.0176, 0.0151, 0.0116, 0.0080, 0.0049, 0.0027, 0.0013, 0.0005, 0.0002, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, },
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{0.0042, 0.0035, 0.0027, 0.0018, 0.0011, 0.0006, 0.0003, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, },
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{0.0008, 0.0007, 0.0005, 0.0003, 0.0002, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, },
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{0.0001, 0.0001, 0.0001, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, },
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};
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const float total_max = 234.37535;
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// Defines RADIUS Radius Kernel total_max
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#include "lenia_generated_kernel.cginc"
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float total = 0.0;
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[unroll(RADIUS)]
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@ -152,7 +121,7 @@
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float state = activation(count) * _Speed + old_state;
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state = clamp(state, 0, 1);
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// // kernel visualization: lookup table
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// kernel visualization: lookup table (SLOW)
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// float k = 0;
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// {
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// float2 p = (i.uv - 0.5 ) * resolution;
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@ -168,19 +137,17 @@
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// }
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// }
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// kernel visualisation: real size
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// float2 p = (i.uv - 0.5) * resolution;
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// float k = kernel(length(p)) * (max(abs(p.x), abs(p.y)) <= _Radius); // kernel visualisation: real size
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// float k = kernel(length(i.uv - 0.5) * _Radius * 2); // kernel visualisation: fill square
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// float k = kernel(length(p)) * (max(abs(p.x), abs(p.y)) <= _Radius);
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// kernel visualisation: fill square
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// float k = kernel(length(i.uv - 0.5) * _Radius * 2);
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// float a = activation(i.uv.x);
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// float4 col = float4(state, k, a, 1);
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// float4 col = float4(state, k, k2, 1);
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// float4 col = float4(state, state * 0.5, 0, 1);
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// float4 col = float4(state, i.uv.x * state, i.uv.y * state, 1);
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float4 col = state;
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col.a = 1;
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float4 col = float4(state, i.uv.x * state, i.uv.y * state, 1);
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return col;
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}
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ENDCG
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27
Assets/automata/Lenia/lenia_generated_kernel.cginc
Normal file
27
Assets/automata/Lenia/lenia_generated_kernel.cginc
Normal file
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@ -0,0 +1,27 @@
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// generated by the rust program
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const int Radius = 20;
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#define RADIUS 20
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const half Kernel[21][20] = {
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{0.00, 0.04, 0.10, 0.20, 0.38, 0.60, 0.80, 0.96, 0.98, 0.88, 0.68, 0.46, 0.26, 0.12, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, },
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{0.02, 0.04, 0.10, 0.22, 0.40, 0.60, 0.82, 0.96, 0.98, 0.88, 0.68, 0.44, 0.26, 0.12, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, },
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{0.04, 0.08, 0.16, 0.28, 0.46, 0.66, 0.86, 0.98, 0.98, 0.84, 0.64, 0.42, 0.24, 0.12, 0.04, 0.02, 0.00, 0.00, 0.00, 0.00, },
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{0.10, 0.16, 0.24, 0.38, 0.56, 0.74, 0.92, 0.98, 0.94, 0.80, 0.58, 0.38, 0.22, 0.10, 0.04, 0.00, 0.00, 0.00, 0.00, 0.00, },
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{0.22, 0.28, 0.38, 0.52, 0.68, 0.84, 0.96, 0.98, 0.90, 0.74, 0.52, 0.32, 0.18, 0.08, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, },
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{0.40, 0.46, 0.56, 0.68, 0.82, 0.94, 0.98, 0.96, 0.82, 0.64, 0.44, 0.26, 0.14, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, },
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{0.60, 0.66, 0.74, 0.84, 0.94, 0.98, 0.98, 0.88, 0.72, 0.54, 0.34, 0.20, 0.10, 0.04, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, },
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{0.82, 0.86, 0.92, 0.96, 0.98, 0.98, 0.90, 0.76, 0.58, 0.42, 0.26, 0.14, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
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{0.96, 0.98, 0.98, 0.98, 0.96, 0.88, 0.76, 0.60, 0.44, 0.30, 0.18, 0.10, 0.04, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
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{0.98, 0.98, 0.94, 0.90, 0.82, 0.72, 0.58, 0.44, 0.32, 0.20, 0.10, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
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{0.88, 0.84, 0.80, 0.74, 0.64, 0.54, 0.42, 0.30, 0.20, 0.12, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
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{0.68, 0.64, 0.58, 0.52, 0.44, 0.34, 0.26, 0.18, 0.10, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
|
||||
{0.44, 0.42, 0.38, 0.32, 0.26, 0.20, 0.14, 0.10, 0.06, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
|
||||
{0.26, 0.24, 0.22, 0.18, 0.14, 0.10, 0.06, 0.04, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
|
||||
{0.12, 0.12, 0.10, 0.08, 0.06, 0.04, 0.02, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
|
||||
{0.06, 0.04, 0.04, 0.02, 0.02, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
|
||||
{0.02, 0.02, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
|
||||
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
|
||||
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
|
||||
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
|
||||
{0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, },
|
||||
};
|
||||
const float total_max = 356.63977;
|
||||
9
Assets/automata/Lenia/lenia_generated_kernel.cginc.meta
Normal file
9
Assets/automata/Lenia/lenia_generated_kernel.cginc.meta
Normal file
|
|
@ -0,0 +1,9 @@
|
|||
fileFormatVersion: 2
|
||||
guid: f5ad97d01e4ce5aa4aaadce6858bf63f
|
||||
ShaderImporter:
|
||||
externalObjects: {}
|
||||
defaultTextures: []
|
||||
nonModifiableTextures: []
|
||||
userData:
|
||||
assetBundleName:
|
||||
assetBundleVariant:
|
||||
|
|
@ -91,7 +91,7 @@ Material:
|
|||
- _ZWrite: 1
|
||||
m_Colors:
|
||||
- _CameraFadeParams: {r: 0, g: Infinity, b: 0, a: 0}
|
||||
- _Color: {r: 2, g: 2, b: 2, a: 1}
|
||||
- _Color: {r: 1, g: 1, b: 1, a: 1}
|
||||
- _ColorAddSubDiff: {r: 0, g: 0, b: 0, a: 0}
|
||||
- _EmissionColor: {r: 0, g: 0, b: 0, a: 1}
|
||||
- _SoftParticleFadeParams: {r: 0, g: 0, b: 0, a: 0}
|
||||
|
|
|
|||
|
|
@ -6,3 +6,4 @@ edition = "2021"
|
|||
# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
|
||||
|
||||
[dependencies]
|
||||
image = { version = "0.24.6", default_features = false, features = ["png"] }
|
||||
|
|
|
|||
BIN
lenia-kernel/kernel.png
Normal file
BIN
lenia-kernel/kernel.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 1.5 KiB |
|
|
@ -3,33 +3,44 @@ use std::env;
|
|||
fn main() {
|
||||
let args: Vec<_> = env::args().skip(1).collect();
|
||||
if args.is_empty() {
|
||||
println!("usage: kernel_radius");
|
||||
println!("specify kernel radius, eg:");
|
||||
println!("cargo run 16 > ../Assets/automata/Lenia/lenia_generated_kernel.cginc");
|
||||
return;
|
||||
}
|
||||
let radius = args[0].parse().unwrap();
|
||||
let k_offset = 0.435;
|
||||
let k_sharpness = 28.0;
|
||||
|
||||
let mut img = image::RgbImage::new(radius * 2 + 1, radius * 2 + 1);
|
||||
|
||||
let mut total_max = 0.0;
|
||||
println!(" // generated by the rust program");
|
||||
println!(" const int Radius = {};", radius);
|
||||
println!(" #define RADIUS {}", radius);
|
||||
println!(" // kernel LUT size is {} bytes", radius * (radius + 1) * 2);
|
||||
println!(" const half Kernel[{}][{}] = {{", radius + 1, radius);
|
||||
println!("// generated by the rust program");
|
||||
println!("const int Radius = {};", radius);
|
||||
println!("#define RADIUS {}", radius);
|
||||
println!("const half Kernel[{}][{}] = {{", radius + 1, radius);
|
||||
for y in 0..=radius {
|
||||
print!(" {{");
|
||||
for x in 1..=radius {
|
||||
let k = k(x, y, radius, k_offset, k_sharpness);
|
||||
let k = (k(x, y, radius, k_offset, k_sharpness) * 50.0).floor() / 50.0;
|
||||
total_max += k * 4.0;
|
||||
print!("{:.4}, ", k);
|
||||
print!("{:.2}, ", k);
|
||||
{
|
||||
let pixel = image::Rgb([0, (k * 255.0) as u8, 0]);
|
||||
// let cx = radius
|
||||
img.put_pixel(radius + x, radius + y, pixel);
|
||||
img.put_pixel(radius - y, radius + x, pixel);
|
||||
img.put_pixel(radius - x, radius - y, pixel);
|
||||
img.put_pixel(radius + y, radius - x, pixel);
|
||||
}
|
||||
}
|
||||
println!("}},");
|
||||
}
|
||||
println!(" }};");
|
||||
println!(" const float TOTAL_MAX = {};", total_max);
|
||||
println!("}};");
|
||||
println!("const float total_max = {};", total_max);
|
||||
img.save("kernel.png").unwrap();
|
||||
}
|
||||
|
||||
fn k(x: usize, y: usize, radius: usize, k_offset: f32, k_sharpness: f32) -> f32 {
|
||||
fn k(x: u32, y: u32, radius: u32, k_offset: f32, k_sharpness: f32) -> f32 {
|
||||
let x = x as f32;
|
||||
let y = y as f32;
|
||||
let r = (x * x + y * y).sqrt() / radius as f32;
|
||||
|
|
|
|||
Loading…
Reference in a new issue