You posted: Well, normally you are not required to give evidence against your self - right against self incrimination and all that.
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I am pretty sure the Supreme Court has interpreted the constitution on this and related issues (writing samples, hair samples, voice “prints” etc.) and has determined that the taking of them doesn’t violate the 5th amendment. If we considered this in the context of other crimes such as murder or molestation of a child, there would be a lot less argument about taking blood, or even semen samples. Once you are arrested the state is entitled to its evidence. I disagree with those who have posted to the contrary here.