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areEqual -- determine if solutions are equal

Synopsis

Description

Comparisons are done coordinatewise using Tolerance as the measure for closeness.
i1 : R = CC[x,y];
i2 : s = solveSystem {x^2+y^2-1, x*y}

o2 = {{{-1, -8.43218e-16-9.7393e-16*ii}}, {{9.31621e-17+4.42364e-16*ii, 1}},
     ------------------------------------------------------------------------
     {{-2.57247e-17-4.63614e-16*ii, -1}}, {{1, 8.43218e-16+9.7393e-16*ii}}}

o2 : List
i3 : areEqual(sortSolutions s, {{{-1, 0}}, {{0, -1}}, {{0, 1}}, {{1, 0}}})

o3 = true

Ways to use areEqual :