length property
double
length
The approximate arc length of the curve.
The arc length is computed using a 30th order Legendre polynomial.
Implementation
double get length {
final z = 0.5;
final tValuesCount = legendrePolynomialRoots.length;
var sum = 0.0;
final cachedPoints = firstOrderDerivativePoints;
for (var index = 0; index < tValuesCount; index++) {
final t = z * legendrePolynomialRoots[index] + z;
final d = derivativeAt(t, cachedFirstOrderDerivativePoints: cachedPoints);
sum += legendrePolynomialWeights[index] * d.length;
}
return z * sum;
}