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} |
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*/ |
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//----------------------------------------------------------------------------- |
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// various helper |
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//----------------------------------------------------------------------------- |
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// NdotV should not be negative for visible pixels, but it can happen due to perspective projection and normal mapping + decal |
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// In this case this may cause weird artifact. |
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// GetNdotV return a 'valid' data |
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float GetNdotV(float3 N, float3 V) |
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{ |
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return abs(dot(N, V)); // This abs allow to limit artifact |
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} |
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// NdotV should not be negative for visible pixels, but it can happen due to perspective projection and normal mapping + decal |
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// In this case normal should be modified to become valid (i.e facing camera) and not cause weird artifacts. |
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// but this operation adds few ALU and users may not want it. Alternative is to simply take the abs of NdotV (less correct but works too). |
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// Note: This code is not compatible with two sided lighting used in SpeedTree (TODO: investigate). |
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float GetShiftedNdotV(float3 N, float3 V) |
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{ |
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// The amount we shift the normal toward the view vector is defined by the dot product. |
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float shiftAmount = dot(N, V); |
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N = shiftAmount < 0.0 ? N + V * (-shiftAmount + 1e-5f) : N; |
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N = normalize(N); |
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return saturate(dot(N, V)); // TODO: this saturate should not be necessary here |
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} |
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// Performs the mapping of the vector 'v' located within the cube of dimensions [-r, r]^3 |
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// to a vector within the sphere of radius 'r', where r = sqrt(r2). |
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// Modified version of http://mathproofs.blogspot.com/2005/07/mapping-cube-to-sphere.html |
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float3 MapCubeToSphere(float3 v, float r2) |
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{ |
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float3 v2 = v * v; |
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float2 vr3 = v2.xy * rcp(3.0 * r2); |
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return v * sqrt((float3)r2 - 0.5 * v2.yzx - 0.5 * v2.zxy + vr3.yxx * v2.zzy); |
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} |
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// Computes the squared magnitude of the vector 'v' after mapping it |
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// to a vector within the sphere of radius 'r', where r = sqrt(r2). |
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// The vector is originally defined within the cube of dimensions [-r, r]^3. |
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// The mapping is performed as per MapCubeToSphere(). |
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// 'dotV' is dot(v, v) (often calculated when calling such a function) |
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float ComputeCubeToSphereMapSqMagnitude(float3 v, float dotV, float r2) |
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{ |
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float3 v2 = v * v; |
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return r2 * dotV - v2.x * v2.y - v2.y * v2.z - v2.z * v2.x + v2.x * v2.y * v2.z * rcp(r2); |
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} |
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#endif // UNITY_COMMON_LIGHTING_INCLUDED |