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Signed primitive integers defined on top of the existing unsigned ones
with two's complement.
The module Sint63 includes the theory of signed primitive integers that
differs from the unsigned case.
Additions to the kernel:
les (signed <=), lts (signed <), compares (signed compare),
divs (signed division), rems (signed remainder),
asr (arithmetic shift right)
(The s suffix is not used when importing the Sint63 module.)
The printing and parsing of primitive ints was updated and the
int63_syntax_plugin was removed (we use Number Notation instead).
A primitive int is parsed / printed as unsigned or signed depending on
the scope. In the default (Set Printing All) case, it is printed in
hexadecimal.
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This is similar to Constant and MutInd but for some reason this was was never
done. Such a patch makes the whole API more regular. We also deprecate the
legacy aliases.
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This allows to quickly spot the parts of the code that rely on the canonical
ordering. When possible we directly introduce the quotient-aware versions.
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Persistent arrays expose a functional interface but are implemented
using an imperative data structure. The OCaml implementation is based on
Jean-Christophe Filliâtre's.
Co-authored-by: Benjamin Grégoire <Benjamin.Gregoire@inria.fr>
Co-authored-by: Gaëtan Gilbert <gaetan.gilbert@skyskimmer.net>
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* Add a related test-suite in compare.v (generated by a bash script)
Co-authored-by: Pierre Roux <pierre.roux@onera.fr>
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Replace `option comparison` with `float_comparison` (:= `FEq | FLt |
FGt | FNotComparable`) as suggested by Guillaume Melquiond to avoid
boxing and an extra match when using primitive float comparison.
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Beware of 0. = -0. issue for primitive floats
The IEEE 754 declares that 0. and -0. are treated equal but we cannot
say that this is true with Leibniz equality.
Therefore we must patch the equality and the total comparison inside the
kernel to prevent inconsistency.
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This operation is done directly in Safe_typing.register_inline and has
nothing to do with retroknowledge afaict.
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This work makes it possible to take advantage of a compact
representation for integers in the entire system, as opposed to only
in some reduction machines. It is useful for heavily computational
applications, where even constructing terms is not possible without such
a representation.
Concretely, it replaces part of the retroknowledge machinery with
a primitive construction for integers in terms, and introduces a kind of
FFI which maps constants to operators (on integers). Properties of these
operators are expressed as explicit axioms, whereas they were hidden in
the retroknowledge-based approach.
This has been presented at the Coq workshop and some Coq Working Groups,
and has been used by various groups for STM trace checking,
computational analysis, etc.
Contributions by Guillaume Bertholon and Pierre Roux <Pierre.Roux@onera.fr>
Co-authored-by: Benjamin Grégoire <Benjamin.Gregoire@inria.fr>
Co-authored-by: Vincent Laporte <Vincent.Laporte@fondation-inria.fr>
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