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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 = {{{1.72505e-15-7.97619e-16*ii, -1}}, {{-1,
     ------------------------------------------------------------------------
     -8.65469e-16+1.02588e-15*ii}}, {{1, 8.65469e-16-1.02588e-15*ii}},
     ------------------------------------------------------------------------
     {{-1.72505e-15+7.97619e-16*ii, 1}}}

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

o3 = true

Ways to use areEqual :