1 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0)...
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Transcript of 1 public class Newton { public static double sqrt(double c) { double epsilon = 1E-15; if (c < 0)...
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
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
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" }
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 }
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
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
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
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
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
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
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
3goes outof scope
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" }
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
1.0
% 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
1.0
c
1.0
% java Newton 1 2 3
i
0
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
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
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
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
1.0
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
1.0
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 31.0
1.0
i
0
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
c
1.0
t
1.0
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 31.0
1.0
i
0
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 31.0
i
1
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
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 31.0
i
1
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
2.0
2.0
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 31.0
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 31.0
i
1
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
c
2.0
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 31.0
i
1
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
c
2.0
t
2.0
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 31.0
i
1
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
c
2.0
t
2.0
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 31.0
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 31.0
i
1
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
c
2.0
t
1.41
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 31.0
i
1
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
c
2.0
t
1.41
1.414213562373095
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 31.01.414213562373095
i
1
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
1.414213562373095
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 31.01.414213562373095
i
2
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
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 31.01.414213562373095
i
2
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
3.0
3.0
c
3.0
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 31.01.414213562373095
i
2
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
c
3.0
1.7320508075688772
1.7320508075688772
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 31.01.4142135623730951.7320508075688772
i
2
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "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 31.01.4142135623730951.7320508075688772
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }
i
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 31.01.4142135623730951.7320508075688772
a[]
{ 1.0, 2.0, 3.0 }
args[]
{ "1", "2", "3" }