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Tangents flipped and mirrored

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I need to calculate tangents for a mesh with adjacent faces having flipped AND mirrored UVs (or rotated 180 deg). So far I've only dealt with splitting vertices where face UVs have different winding order, which is very simple. I'm using Eric's method for tangents. I've tried splitting vertices from faces with considerably different tangents and bitangents but this proved surprisingly messy and unreliable. I haven't had any problems with badly behaved tangents besides this case of 180 deg rotation but it makes sense that any case of discontinuous tangents should be handled. Are there any standard or ideal methods to detect and repair these conditions?

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