Options

The options to refine  are given after the parameters L  and S  as equations of the form option = value . The following options are supported:

• digits = n  : compute with n  decimal places;
• residual_tol  = t  : set the residual tolerance to the positive real number t ;
• error_tol = t  : set the error tolerance to the positive real number t ;
• singular_tol = t  : set the tolerance for singular solutions to the positive real number t ;
• max_iterations = n : make at most n  iterations in the Newton method.

>	with(phc): setPHCloc("C:\\PHCmaple"):

>	S := makeSystem([x,y], [], [x^2+y^2-1, y^3+x^3-1]):

>	sols := solve(S): printSolutions(S,sols):

(1) [x = 1.0-.737959023935872e-19*I, y = .329371120755286e-6-.191721671746238e-6*I]

(2) [x = 1.0-.646023262030399e-19*I, y = -.638404133185846e-7+.375785577998785e-6*I]

(3) [x = -.344790175239635e-6+.368368833746744e-6*I, y = 1.0+.108519145022455e-18*I]

(4) [x = -1.0-.707106781186548*I, y = -1.0+.707106781186547*I]

(5) [x = -1.0+.707106781186548*I, y = -1.0-.707106781186548*I]

(6) [x = .493115569338616e-6+.293212688274468e-8*I, y = 1.0+.285191255180035e-20*I]

>	refsols := refine(sols,S, digits=32,residual_tol=1e-30,error_tol=1e-30,singular_tol=1e-20,max_iterations=10):

>	printSolutions(S,refsols):

(1) [x = .99999999999999999999999999999927-.6873133482520205754401038408339e-28*I, y = .32165143846017501931286855938697e-9-.18722811292156424045727254961509e-9*I]

(2) [x = 1.0000000000000000000000000000333-.6019058134395572182042984327907e-28*I, y = -.62344064435294059782805687833384e-10+.36697813472129546166659525399375e-9*I]

(3) [x = -.33670914457067916721346980491024e-9+.35973535442183656933219992353746e-9*I, y = 1.0000000000000000000000000001234+.10106626595082837022504694828802e-27*I]

(4) [x = -1.0-.70710678118654752440084436210486*I, y = -.99999999999999999999999999999999+.70710678118654752440084436210484*I]

(5) [x = -1.0+.70710678118654752440084436210487*I, y = -1.0-.70710678118654752440084436210487*I]

(6) [x = .48155801503319354268339215060958e-9+.28634032781156815854889094980258e-11*I, y = 1.0000000000000000000000000001489+.2656040072890805825796363356957e-29*I]

phc , phc[solve] , phc[track] , phc[embed] , phc[drawPaths]