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IANAL but as far as I understand copyright law it is impossible to copyright "an algorithm." What one can copyright is source code but as long as you do not copy the source verbatim it is not copyrighted. I would suggest you translate the algorithms from the book into mathematical expressions and then implement your own code from there. This should be legal to publish.

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In this case it was a derivative work based upon source code from the book, which is permitted under the terms but precludes open dissemination. Further, the rest of the codebase was very tightly coupled to the algorithms since since the algorithms updated state in-place instead of returning values, so dropping in an open version of these algorithms was very non-trivial.

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