Fastest DCT? (With permissive license)

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Does anyone know what is the fastest current algorithm/library for DCT I, II and III? I need a 2D real to real ordered implementation that can work with large matrices like 2048x2048. Most of the algorithms I find work only with 8x8 blocks, I am aware that FFTW can do a good job using the real to half complex algorithm but its license is not suitable for my project. I am just struggling to find anything else out there that is fast and stable, I am not sure about ooura, it seems a bit slow looking at the benchmark.

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