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

sortSolutions(List) -- sort the list of solutions

Synopsis

Description

The sorting is done lexicographically regarding each complex n-vector as real 2n-vector. The output format of track and solveSystem is respected.
The parts of coordinates are considered equal if within Tolerance
i1 : R = CC[x,y];
i2 : s = solveSystem {x^2+y^2-1, x*y}

o2 = {{{9.823e-18+1.79424e-15*ii, -1}}, {{-1, -8.5338e-16-9.03099e-16*ii}},
     ------------------------------------------------------------------------
     {{1, 8.32563e-16+9.16977e-16*ii}}, {{-9.823e-18-1.79424e-15*ii, 1}}}

o2 : List
i3 : sortSolutions s

o3 = {{{-1, -8.5338e-16-9.03099e-16*ii}}, {{9.823e-18+1.79424e-15*ii, -1}},
     ------------------------------------------------------------------------
     {{-9.823e-18-1.79424e-15*ii, 1}}, {{1, 8.32563e-16+9.16977e-16*ii}}}

o3 : List