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1 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace
![1 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace](http://images.slideplayer.com/8/2330137/slides/slide_1.jpg "1 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace")
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2 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3
![2 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3](http://images.slideplayer.com/8/2330137/slides/slide_2.jpg "2 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3")
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3 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 { "1", "2", "3" } args[] { "1", "2", "3" }
![3 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 { 1 , 2 , 3 } args[] { 1 , 2 , 3 }](http://images.slideplayer.com/8/2330137/slides/slide_3.jpg "3 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 { 1 , 2 , 3 } args[] { 1 , 2 , 3 }")
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4 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 args[] { "1", "2", "3" } a[] { 0.0, 0.0, 0.0 }
![4 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 args[] { 1 , 2 , 3 } a[] { 0.0, 0.0, 0.0 }](http://images.slideplayer.com/8/2330137/slides/slide_4.jpg "4 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 args[] { 1 , 2 , 3 } a[] { 0.0, 0.0, 0.0 }")
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5 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 args[] { "1", "2", "3" } a[] { 0.0, 0.0, 0.0 } i 0
![5 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 args[] { 1 , 2 , 3 } a[] { 0.0, 0.0, 0.0 } i 0](http://images.slideplayer.com/8/2330137/slides/slide_5.jpg "5 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 args[] { 1 , 2 , 3 } a[] { 0.0, 0.0, 0.0 } i 0")
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6 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 0.0, 0.0 } args[] { "1", "2", "3" } i 0
![6 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 0.0, 0.0 } args[] { 1 , 2 , 3 } i 0](http://images.slideplayer.com/8/2330137/slides/slide_6.jpg "6 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 0.0, 0.0 } args[] { 1 , 2 , 3 } i 0")
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7 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 0.0, 0.0 } args[] { "1", "2", "3" } i 1
![7 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 0.0, 0.0 } args[] { 1 , 2 , 3 } i 1](http://images.slideplayer.com/8/2330137/slides/slide_7.jpg "7 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 0.0, 0.0 } args[] { 1 , 2 , 3 } i 1")
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8 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 0.0 } args[] { "1", "2", "3" } i 1
![8 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 0.0 } args[] { 1 , 2 , 3 } i 1](http://images.slideplayer.com/8/2330137/slides/slide_8.jpg "8 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 0.0 } args[] { 1 , 2 , 3 } i 1")
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9 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 0.0 } args[] { "1", "2", "3" } i 2
![9 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 0.0 } args[] { 1 , 2 , 3 } i 2](http://images.slideplayer.com/8/2330137/slides/slide_9.jpg "9 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 0.0 } args[] { 1 , 2 , 3 } i 2")
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10 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } i 2
![10 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } i 2](http://images.slideplayer.com/8/2330137/slides/slide_10.jpg "10 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } i 2")
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11 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } i 3 goes out of scope
![11 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } i 3 goes out of scope](http://images.slideplayer.com/8/2330137/slides/slide_11.jpg "11 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } i 3 goes out of scope")
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12 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace i 0 % java Newton 1 2 3 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" }
![12 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace i 0 % java Newton 1 2 3 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }](http://images.slideplayer.com/8/2330137/slides/slide_12.jpg "12 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace i 0 % java Newton 1 2 3 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }")
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13 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace 1.0 % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" }
![13 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace 1.0 % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }](http://images.slideplayer.com/8/2330137/slides/slide_13.jpg "13 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace 1.0 % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }")
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14 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace 1.0 c % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" }
![14 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace 1.0 c % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }](http://images.slideplayer.com/8/2330137/slides/slide_14.jpg "14 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace 1.0 c % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }")
15
15 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 1.0
![15 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 1.0](http://images.slideplayer.com/8/2330137/slides/slide_15.jpg "15 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 1.0")
16
16 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 1.0
![16 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 1.0](http://images.slideplayer.com/8/2330137/slides/slide_16.jpg "16 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 1.0")
17
17 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 1.0 t
![17 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 1.0 t](http://images.slideplayer.com/8/2330137/slides/slide_17.jpg "17 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 1.0 t")
18
18 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 1.0 t
![18 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 1.0 t](http://images.slideplayer.com/8/2330137/slides/slide_18.jpg "18 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 1.0 t")
19
19 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 0 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 1.0 t
![19 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 1.0 t](http://images.slideplayer.com/8/2330137/slides/slide_19.jpg "19 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 1.0 t")
20
20 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 0 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" }
![20 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }](http://images.slideplayer.com/8/2330137/slides/slide_20.jpg "20 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 0 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }")
21
21 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" }
![21 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }](http://images.slideplayer.com/8/2330137/slides/slide_21.jpg "21 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }")
22
22 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } 2.0 c
![22 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } 2.0 c](http://images.slideplayer.com/8/2330137/slides/slide_22.jpg "22 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } 2.0 c")
23
23 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 2.0
![23 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0](http://images.slideplayer.com/8/2330137/slides/slide_23.jpg "23 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0")
24
24 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 2.0
![24 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0](http://images.slideplayer.com/8/2330137/slides/slide_24.jpg "24 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0")
25
25 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 2.0 t
![25 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0 t](http://images.slideplayer.com/8/2330137/slides/slide_25.jpg "25 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0 t")
26
26 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 2.0 t
![26 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0 t](http://images.slideplayer.com/8/2330137/slides/slide_26.jpg "26 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0 t")
27
27 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 2.0 t 1.41
![27 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0 t 1.41](http://images.slideplayer.com/8/2330137/slides/slide_27.jpg "27 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0 t 1.41")
28
28 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 2.0 t 1.41
![28 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0 t 1.41](http://images.slideplayer.com/8/2330137/slides/slide_28.jpg "28 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0 t 1.41")
29
29 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 2.0 t 1.41 1.414213562373095
![29 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0 t 1.41 1.414213562373095](http://images.slideplayer.com/8/2330137/slides/slide_29.jpg "29 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 2.0 t 1.41 1.414213562373095")
30
30 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 1 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } 1.414213562373095
![30 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } 1.414213562373095](http://images.slideplayer.com/8/2330137/slides/slide_30.jpg "30 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 1 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } 1.414213562373095")
31
31 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 2 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" }
![31 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 2 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }](http://images.slideplayer.com/8/2330137/slides/slide_31.jpg "31 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 2 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }")
32
32 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 2 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } 3.0 c
![32 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 2 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } 3.0 c](http://images.slideplayer.com/8/2330137/slides/slide_32.jpg "32 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 2 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } 3.0 c")
33
33 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 2 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } c 3.0 1.7320508075688772
![33 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 2 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 3.0 1.7320508075688772](http://images.slideplayer.com/8/2330137/slides/slide_33.jpg "33 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 i 2 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } c 3.0 1.7320508075688772")
34
34 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772 i 2 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" }
![34 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772 i 2 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }](http://images.slideplayer.com/8/2330137/slides/slide_34.jpg "34 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772 i 2 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }")
35
35 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" } i 3
![35 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } i 3](http://images.slideplayer.com/8/2330137/slides/slide_35.jpg "35 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 } i 3")
36
36 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772 a[] { 1.0, 2.0, 3.0 } args[] { "1", "2", "3" }
![36 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }](http://images.slideplayer.com/8/2330137/slides/slide_36.jpg "36 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0) return Double.NaN; double t = c; while (Math.abs(t - c/t) > epsilon * t) t = (c/t + t) / 2.0; return t; } public static void main(String[] args) { double[] a = new double[args.length]; for (int i = 0; i < args.length; i++) a[i] = Double.parseDouble(args[i]); for (int i = 0; i < a.length; i++) System.out.println(Newton.sqrt(a[i])); } Function Call Trace % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772 a[] { 1.0, 2.0, 3.0 } args[] { 1 , 2 , 3 }")
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