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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. So it can have two cases −
Case-1: A point (a, b) is transformed to the line (y = ax − b).
Case-2: A line D(y = cx + d) is transformed to the point D’(c, −d).
Functions and pseudocodes
Function LineTransformation(double c, double d)
Print C: (d / c) D: (d * -1)
Function PointTransformation(double x, double y)
Print a = (-1 * y / x) b = (-1 * y)
Example
#include <iostream>
#include <time.h>
#include <stdlib.h>
using namespace std;
void LineTransformation(double c, double d) {
cout << "C: " << (d / c) << ", D: " << (d * -1);
}
void PointTransformation(double x, double y) {
cout << "y=" << (-1 * y / x) << "x +" << (-1 * y);
}
int main(int argc, char **argv) {
cout << "\n1. Line Transformation\n2. Point Transformation";
int c;
cin >> c;
switch (c) {
case 1:
cout << "Enter the coefficients of line y=ax-b:";
double a, b;
cin >> a >> b;
LineTransformation(a, b);
break;
case 2:
cout << "Enter the coordinate of point <a, b>";
double x, y;
cin >> x >> y;
PointTransformation(x, y);
break;
default:
break;
}
}Output
1. Line Transformation 2. Point Transformation 1 Enter the coefficients of line y=ax-b: 1 2 C: 2, D: -2 1. Line Transformation 2. Point Transformation 2 Enter the coordinate of point <a, b> 1 2 y=-2x +-2
Updated on: 30-Jul-2019
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