Implicitizing a spline in Sorts Mill Editor

Implicitizing the quadratic spline x(t) = 1 + t², y(t) = -2 + 2t + t²:

crud:64 trashman: guile -c '(import (sortsmill)(ice-9 pretty-print))(with-matrix-svd-algorithm (quote modified-golub-reinsch) (call-with-values (lambda () (poly:pretty-print-implicit-equation (poly:implicit-equation (poly:bezout-matrix #(1 0 1) #(-2 2 1))))) (lambda args (setlocale LC_ALL "")(pretty-print args)) ))'
("-13 + 10x + -6y + -x² + 2xy + -y²")

(The svd stuff is just boilerplate in the command I run lately out of my zsh history. It’s not actually used here.)