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Polynomials over an ordered field with exact arithmetic, the coefficient rings of the hyperreals.
The hyperreals a program’s infinitesimal generates are rational functions of it over the real
algebraic numbers; a second infinitesimal smaller than every power of the first generates rational
functions of itself over those, and so on. Each level is one variable over the field below, so the
arithmetic every level needs (sums, products, Euclid’s division and gcd, Yun’s square-free
decomposition) is written once here, over any OrderedField.
Structs§
- Poly
Over - A polynomial in one variable over
K, little-endian, no trailing zero.
Traits§
- Ordered
Field - A field with exact arithmetic and a decided order, read from the sign of an element.