next | previous | forward | backward | up | top | index | toc | Macaulay2 web site

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 = {{{5.44393e-16+3.29691e-16*ii, -1}}, {{-1,
     ------------------------------------------------------------------------
     -2.34183e-17+4.33675e-17*ii}}, {{1, -6.93939e-18+1.73532e-18*ii}},
     ------------------------------------------------------------------------
     {{-5.44393e-16-3.29691e-16*ii, 1}}}

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

o3 = true

Ways to use areEqual :