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Function Call Trace

Function Call Trace. 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 ;

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Function Call Trace

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  1. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } }

  2. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } % java Newton 1 2 3

  3. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } { "1", "2", "3" } args[] { "1", "2", "3" } % java Newton 1 2 3

  4. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 0.0, 0.0, 0.0 } % java Newton 1 2 3

  5. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 0.0, 0.0, 0.0 } i 0 % java Newton 1 2 3

  6. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 0.0, 0.0 } i 0 % java Newton 1 2 3

  7. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 0.0, 0.0 } i 1 % java Newton 1 2 3

  8. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 0.0 } i 1 % java Newton 1 2 3

  9. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 0.0 } i 2 % java Newton 1 2 3

  10. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 2 % java Newton 1 2 3

  11. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 3 goes outof scope % java Newton 1 2 3

  12. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 0 % java Newton 1 2 3

  13. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } 1.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 0 1.0 % java Newton 1 2 3

  14. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } 1.0 c 1.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 0 1.0 % java Newton 1 2 3

  15. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c 1.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 0 % java Newton 1 2 3

  16. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c 1.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 0 % java Newton 1 2 3

  17. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c t 1.0 1.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 0 % java Newton 1 2 3

  18. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c t 1.0 1.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 0 % java Newton 1 2 3

  19. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c t 1.0 1.0 args[] 1.0 { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 0 1.0 % java Newton 1 2 3

  20. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 0 1.0 % java Newton 1 2 3 1.0

  21. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 1 % java Newton 1 2 3 1.0

  22. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } 2.0 c 2.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 1 2.0 % java Newton 1 2 3 1.0

  23. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c 2.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 1 % java Newton 1 2 3 1.0

  24. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c 2.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 1 % java Newton 1 2 3 1.0

  25. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c t 2.0 2.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 1 % java Newton 1 2 3 1.0

  26. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c t 2.0 2.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 1 % java Newton 1 2 3 1.0

  27. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c t 2.0 1.41 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 1 % java Newton 1 2 3 1.0

  28. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c t 2.0 1.41 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 1 % java Newton 1 2 3 1.0

  29. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c t 2.0 1.41 args[] 1.414213562373095 { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 1 1.414213562373095 % java Newton 1 2 3 1.0

  30. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 1 1.414213562373095 % java Newton 1 2 3 1.0 1.414213562373095

  31. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 2 % java Newton 1 2 3 1.0 1.414213562373095

  32. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } 3.0 c 3.0 args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 2 3.0 % java Newton 1 2 3 1.0 1.414213562373095

  33. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } c 3.0 args[] 1.7320508075688772 { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 2 1.7320508075688772 % java Newton 1 2 3 1.0 1.414213562373095

  34. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 2 % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772

  35. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } i 3 % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772

  36. Function Call Trace publicclass Newton { public staticdouble 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(sqrt(a[i])); } } args[] { "1", "2", "3" } a[] { 1.0, 2.0, 3.0 } % java Newton 1 2 3 1.0 1.414213562373095 1.7320508075688772

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