+++ /dev/null
-/**
- * File written by Raphael Champeimont
- * UMR 7238 Genomique des Microorganismes
- */
-package fr.orsay.lri.varna.models.geom;
-
-public class ComputeArcCenter {
-
- /**
- * Given an arc length (l) and segment length (delta) of the arc,
- * find where to put the center, returned as a position of the perpendicular
- * bisector of the segment. The positive side is the one where the arc is drawn.
- * It works using Newton's method.
- */
- public static double computeArcCenter(double delta, double l) {
- double x_n = 0;
- double x_n_plus_1, f_x_n, f_x_n_plus_1;
- f_x_n = f(x_n,delta);
- while (true) {
- x_n_plus_1 = x_n - (f_x_n - l)/fprime(x_n,delta);
- f_x_n_plus_1 = f(x_n_plus_1,delta);
- // We want a precision of 0.1 on arc length
- if (x_n_plus_1 == Double.NEGATIVE_INFINITY || Math.abs(f_x_n_plus_1 - f_x_n) < 0.1) {
- //System.out.println("computeArcCenter: steps = " + steps + " result = " + x_n_plus_1);
- return x_n_plus_1;
- }
- x_n = x_n_plus_1;
- f_x_n = f_x_n_plus_1;
- }
- }
-
- private static double f(double c, double delta) {
- if (c < 0) {
- return 2*Math.atan(delta/(-2*c)) * Math.sqrt(delta*delta/4 + c*c);
- } else if (c != 0) { // c > 0
- return (2*Math.PI - 2*Math.atan(delta/(2*c))) * Math.sqrt(delta*delta/4 + c*c);
- } else { // c == 0
- return Math.PI * Math.sqrt(delta*delta/4 + c*c);
- }
- }
-
- /**
- * d/dc f(c,delta)
- */
- private static double fprime(double c, double delta) {
- if (c < 0) {
- return delta/(c*c + delta/4)*Math.sqrt(delta*delta/4 + c*c) + 2*Math.atan(delta/(-2*c))*c/Math.sqrt(delta*delta/4 + c*c);
- } else if (c != 0) { // c > 0
- return delta/(c*c + delta/4)*Math.sqrt(delta*delta/4 + c*c) + (2*Math.PI - 2*Math.atan(delta/(-2*c)))*c/Math.sqrt(delta*delta/4 + c*c);
- } else { // c == 0
- return 2;
- }
- }
-}
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