To save some time for new readers, the author is unfamiliar with floating point representation and thinks that a double precision number since it is 64 bits can hold any 64 bit integer and is somewhat confused as to what an xmm register can hold(they believe that it has 128 bits of precision instead of being able to hold 2 64-bit doubles, or 4 32-bit singles). They attempt to find the issue a few ways. The correct solution is not to convert any integer larger than 2^53 in absolute value since only integers that large can be successfully converted to double and back(
aside from a few others that exist sparsely).
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