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

dynamicFlowerSolve -- a naive dynamic strategy

Synopsis

Description

Output is verbose. For other dynamic strategies, see MonodromySolverOptions.

i1 : R = CC[a,b,c,d][x,y];
i2 : polys = polySystem {a*x+b*y^2,c*x*y+d};
i3 : (p0, x0) = createSeedPair polys;
i4 : (L, npaths) = dynamicFlowerSolve(polys.PolyMap,p0,{x0})
--backup directory created: /var/folders/11/t6mmkf11455d4nt0fn639c6h0000gn/T/M2-12366-0/1
     -- 0.00240612 seconds elapsed
  H01: 1
     -- 0.0341097 seconds elapsed
  H10: 1
     -- 0.000348011 seconds elapsed
number of paths tracked: 2
found 2 points in the fiber so far
     -- 0.0040532 seconds elapsed
  H01: 2
     -- 0.00325992 seconds elapsed
  H10: 2
     -- 0.000576909 seconds elapsed
number of paths tracked: 6
found 2 points in the fiber so far
     -- 0.0031148 seconds elapsed
  H01: 2
     -- 0.00289691 seconds elapsed
  H10: 2
     -- 0.000462044 seconds elapsed
number of paths tracked: 10
found 3 points in the fiber so far
     -- 0.00317085 seconds elapsed
  H01: 3
     -- 0.00335115 seconds elapsed
  H10: 3
     -- 0.000636408 seconds elapsed
number of paths tracked: 16
found 3 points in the fiber so far
     -- 0.00330119 seconds elapsed
  H01: 3
     -- 0.00339334 seconds elapsed
  H10: 3
     -- 0.000643315 seconds elapsed
number of paths tracked: 22
found 3 points in the fiber so far
     -- 0.00319066 seconds elapsed
  H01: 3
     -- 0.00325792 seconds elapsed
  H10: 3
     -- 0.000620239 seconds elapsed
number of paths tracked: 28
found 3 points in the fiber so far
     -- 0.00326921 seconds elapsed
  H01: 3
     -- 0.00351554 seconds elapsed
  H10: 3
     -- 0.000645698 seconds elapsed
number of paths tracked: 34
found 3 points in the fiber so far

o4 = ({{.149945+.988694*ii, -.536153+.844121*ii}, {.781262-.624203*ii,
     ------------------------------------------------------------------------
     -.462954-.886382*ii}, {-.931207-.364491*ii, .999107+.042261*ii}}, 34)

o4 : Sequence