b768cc6ca8
This patches avoids multiplying with negative powers-of-10 when parsing floating-point values, when those powers-of-10 can be exactly represented as a positive power. When represented as a positive power and used to divide, the resulting float will not have any rounding errors. The issue is that mp_parse_num_decimal will sometimes not give the closest floating representation of the input string. Eg for "0.3", which can't be represented exactly in floating point, mp_parse_num_decimal gives a slightly high (by 1LSB) result. This is because it computes the answer as 3 * 0.1, and since 0.1 also can't be represented exactly, multiplying by 3 multiplies up the rounding error in the 0.1. Computing it as 3 / 10, as now done by the change in this commit, gives an answer which is as close to the true value of "0.3" as possible.