C++ Program to Show the Duality Transformation of Line and Point

This is a C++ program to show the duality transformation of line and point. The transformation corresponds from line to point and point to line.

Here is source code of the C++ Program to Show the Duality Transformation of Line and Point. The C++ program is successfully compiled and run on a Linux system. The program output is also shown below.

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#include <iostream>
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#include <time.h>
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#include <stdlib.h>
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using namespace std;
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void performLineTransformation(double a, double b)

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{
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    cout << "X: " << (b / a) << ", Y: " << (b * -1);

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}
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void performPointTransformation(double x, double y)

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{
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    cout << "y=" << (-1 * y / x) << "x +" << (-1 * y);

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}
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int main(int argc, char **argv)
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{
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    cout
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            << "Perform what transformation.\n1. Line Transformation\n2. Point Transformation";

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    int option;
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    cin >> option;
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    switch (option)
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    {
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        case 1:
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            cout << "Enter the coefficients of line <y=ax-b>";

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            double a, b;
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            cin >> a >> b;
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            performLineTransformation(a, b);

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            break;
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        case 2:
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            cout << "Enter the coordinate of point <x, y>";

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            double x, y;
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            cin >> x >> y;
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            performPointTransformation(x, y);

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            break;
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        default:
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            break;
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    }
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}
```

Output:

$ g++ DualityTransformation.cpp
$ a.out
 
Perform what transformation.
1. Line Transformation
2. Point Transformation
1
Enter the coefficients of line <y=ax-b>
1 2
X: 2.0, Y: -2.0
 
Perform what transformation.
1. Line Transformation
2. Point Transformation
2
Enter the coordinate of point <x, y>
2 -2
y=1.0x +2.0
------------------
(program exited with code: 0)
Press return to continue

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