Let us create a ring with a matrix ordering: {{{ > intmat m[3][3] = 3, 0, 1, 0, 1, 0, 0, 0, 1; > ring R = 0, (x,y,z), M(m); > x > 1; 1 > y > 1; 1 > z > 1; 1 }}} Hence the monomial ordering of R is a well-ordering, and the value of internal attribute `OrdSgn` of R should be 1. But presently `OrdSgn` of R is set to -1. There seems to be a bug in the implementation of `rCheckOrdSgn` function in `libpolys/polys/monomials/ring.cc` file.
This bug was revealed while fixing a bug of Sage tracked in #28954.
Let us create a ring with a matrix ordering: {{{ > intmat m[3][3] = 3, 0, 1, 0, 1, 0, 0, 0, 1; > ring R = 0, (x,y,z), M(m); > x > 1; 1 > y > 1; 1 > z > 1; 1 }}} Hence the monomial ordering of R is a well-ordering, and the value of internal attribute `OrdSgn` of R should be 1. But presently `OrdSgn` of R is set to -1. There seems to be a bug in the implementation of `rCheckOrdSgn` function in `libpolys/polys/monomials/ring.cc` file.
This bug was revealed while fixing a bug of Sage tracked in #28954.
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