Scaling Transformation

Geometric Transformation Algorithm/Scaling Transformation/README.md

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+# README for 3D Scaling Program
+
+This project implements a 3D scaling transformation in C. The program allows the user to input a 3D point and apply scaling factors along the X, Y, and Z axes, resizing the point's coordinates accordingly.
+
+## Process
+
+### User Input:
+1. The user is prompted to enter the coordinates of the point in 3D: `(x, y, z)`.
+2. The user specifies scaling factors for each axis: `scaleX`, `scaleY`, and `scaleZ`.
+
+### Scaling Calculation:
+The program applies the scaling transformation to the input point using the following formulas:
+
+```c
+x_scaled = x * scaleX;
+y_scaled = y * scaleY;
+z_scaled = z * scaleZ;
+```
+
+### Output:
+The program prints the new coordinates of the point after applying the scaling transformation.
+
+## Example Run
+
+**Input:**
+
+Enter the coordinates of the point (x y z): 2 3 4
+Enter the scaling factors (scaleX scaleY scaleZ): 1.5 2.0 0.5
+
+**Output:**  
+
+Scaled coordinates: (3.00, 6.00, 2.00)
+
+## Complexity Analysis
+
+- **Time Complexity:**  O(1)   
+  The program performs a constant number of operations regardless of input size.
+
+- **Space Complexity:**  O(1) 
+  Only basic variables are used for coordinates and calculations, so no additional memory allocation is required.
+
+## Assumptions
+
+- The program assumes valid numeric input for the coordinates and scaling factors.
+- Each scaling factor affects only its respective axis.

Geometric Transformation Algorithm/Scaling Transformation/program.c

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+#include <stdio.h>
+
+void scale3D(float x, float y, float z, float scaleX, float scaleY, float scaleZ, float *x_scaled, float *y_scaled, float *z_scaled) {
+    *x_scaled = x * scaleX;
+    *y_scaled = y * scaleY;
+    *z_scaled = z * scaleZ;
+}
+
+int main() {
+    float x, y, z;               // Original coordinates
+    float scaleX, scaleY, scaleZ; // Scaling factors
+    float x_scaled, y_scaled, z_scaled;
+
+    // Taking user input
+    printf("Enter the coordinates (x, y, z): ");
+    scanf("%f %f %f", &x, &y, &z);
+
+    printf("Enter the scaling factors (scaleX, scaleY, scaleZ): ");
+    scanf("%f %f %f", &scaleX, &scaleY, &scaleZ);
+
+    // Applying scaling transformation
+    scale3D(x, y, z, scaleX, scaleY, scaleZ, &x_scaled, &y_scaled, &z_scaled);
+
+    // Displaying the result
+    printf("Scaled coordinates: (%.2f, %.2f, %.2f)\n", x_scaled, y_scaled, z_scaled);
+
+    return 0;
+}