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- //hash for randomness
- float2 hash2D2D (float2 s)
- {
- //magic numbers
- return frac(sin(fmod(float2(dot(s, float2(127.1,311.7)), dot(s, float2(269.5,183.3))), 3.14159))*43758.5453);
- }
- //stochastic sampling
- float4 tex2DStochastic(sampler2D tex, float2 UV)
- {
- //triangle vertices and blend weights
- //BW_vx[0...2].xyz = triangle verts
- //BW_vx[3].xy = blend weights (z is unused)
- float4x3 BW_vx;
- //uv transformed into triangular grid space with UV scaled by approximation of 2*sqrt(3)
- float2 skewUV = mul(float2x2 (1.0 , 0.0 , -0.57735027 , 1.15470054), UV * 3.464);
- //vertex IDs and barycentric coords
- float2 vxID = float2 (floor(skewUV));
- float3 barry = float3 (frac(skewUV), 0);
- barry.z = 1.0-barry.x-barry.y;
- BW_vx = ((barry.z>0) ?
- float4x3(float3(vxID, 0), float3(vxID + float2(0, 1), 0), float3(vxID + float2(1, 0), 0), barry.zyx) :
- float4x3(float3(vxID + float2 (1, 1), 0), float3(vxID + float2 (1, 0), 0), float3(vxID + float2 (0, 1), 0), float3(-barry.z, 1.0-barry.y, 1.0-barry.x)));
- //calculate derivatives to avoid triangular grid artifacts
- float2 dx = ddx(UV);
- float2 dy = ddy(UV);
- //blend samples with calculated weights
- return mul(tex2D(tex, UV + hash2D2D(BW_vx[0].xy), dx, dy), BW_vx[3].x) +
- mul(tex2D(tex, UV + hash2D2D(BW_vx[1].xy), dx, dy), BW_vx[3].y) +
- mul(tex2D(tex, UV + hash2D2D(BW_vx[2].xy), dx, dy), BW_vx[3].z);
- }
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