How many squares are drawn if foo(0,0,5,2) is called?
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
How many squares are drawn if foo(0,0,5,2) is called?

Transcribed Image Text:The provided text describes a function in an educational context regarding computer programming and graphics.
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**Explanation of the Function:**
The text defines a recursive function `foo` that uses an auxiliary function called `drawSquare`. The `drawSquare(double x, double y, double halfLen)` function is responsible for drawing a square centered at coordinates `(x, y)` with a side length that is double the given `halfLen`. For instance, `drawSquare(0,0,5)` would draw a square centered at the origin `(0,0)` with a side length of `10`.
**Detailed Breakdown of the Code:**
```java
public static void foo(double x, double y, double len, int n) {
if (n < 1) return;
drawSquare(x, y, len);
foo(x - len/2, y - len/2, len/2, n - 1);
foo(x - len/2, y + len/2, len/2, n - 1);
foo(x + len/2, y + len/2, len/2, n - 1);
foo(x + len/2, y - len/2, len/2, n - 1);
}
```
**Function Behavior:**
- **Base Case:** The recursion stops when `n < 1`. In this case, the function simply returns without doing anything.
- **Recursive Case:**
- First, it draws a square centered at `(x, y)` with side length `len`.
- Then, it makes four recursive calls to itself, each time subdividing the current square into four smaller squares and recentering.
- The square's center for the recursive calls is adjusted by half of the current length (`len/2`) to cover all four quadrants:
- Bottom-left
- Top-left
- Top-right
- Bottom-right
This method is often used to create fractal patterns or divide graphical space efficiently.
---
This explanation provides a detailed view of the recursive structure and graphical operations performed by the `foo` function, essential for understanding recursion and graphical transformations in programming.
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