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trim.m2
-- the question is whether 'trim' should do something for inhomogeneous modules. -- if it doesn't do enough, this test will break gbTrace = 3 R = ZZ/7[y, x, MonomialOrder=>Lex]; I = ideal (y^3*x^2 + 2*y^2*x + 3*x*y, 3*y^2 + x*y - 3*y); J' = saturate(I, ideal(y), MinimalGenerators => false) -- tell saturate not to trim J = saturate(I, ideal(y), MinimalGenerators => true) -- tell saturate to trim assert ( set flatten entries gens J === set {y-2*x-1, x^4+x^3+3*x^2+3*x} ) -- R = ZZ/32003[a..j] I = ideal random(R^1, R^{-2,-2,-2,-2,-2,-2,-2}); trim I -- fixed: this fails because it takes a long time... It should stop after mingens are known to be computed: -- see https://github.com/Macaulay2/M2/issues/450 R = QQ[] M = subquotient ( map(R^1,R^1,1), map(R^1,R^1,1) ) N = subquotient ( , map(R^1,R^1,1) ) P = subquotient ( , map(R^1,R^1,0) ) assert ( M == 0 ) assert ( N == 0 ) assert (trim M === trim N) assert (trim(M,Strategy=>Complement) === trim(N,Strategy=>Complement)) assert (trim P === R^1) assert (trim(P,Strategy=>Complement) === R^1) -- trim PID R=QQ[x] I = ideal(3*x^4-x^3+x^2-x-2,3*x^4+2*x^3+6*x+4) J = trim I assert(I == J) assert(numgens J == 1) I' = ideal(x^3-1, x^2+1) J' = trim I' assert(J'_* == {1}) -- Local Variables: -- compile-command: "make -C $M2BUILDDIR/Macaulay2/packages/Macaulay2Doc/test trim.out" -- End:
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