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Adrian Mariano 2021-05-21 20:21:50 -04:00
parent 19c521913d
commit 16ec2ecbd6
1 changed files with 8 additions and 1 deletions
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math.scad
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@ -1844,6 +1844,13 @@ function _poly_roots(p, pderiv, s, z, tol, i=0) =
// eps = used to determine whether imaginary parts of roots are zero
// tol = tolerance for the complex polynomial root finder
// The algorithm is based on Brent's method and is a combination of
// bisection and inverse quadratic approximation, where bisection occurs
// at every step, with refinement using inverse quadratic approximation
// only when that approximation gives a good result. The detail
// of how to decide when to use the quadratic came from an article
// by Crenshaw on "The World's Best Root Finder".
// https://www.embedded.com/worlds-best-root-finder/
function real_roots(p,eps=undef,tol=1e-14) =
assert( is_vector(p), "Invalid polynomial." )
let( p = _poly_trim(p,eps=0) )