How to resolve the algorithm Fibonacci word/fractal step by step in the C programming language

Published on 7 June 2024 04:37 AM
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How to resolve the algorithm Fibonacci word/fractal step by step in the C programming language

Table of Contents

Problem Statement

The Fibonacci word may be represented as a fractal as described here: (Clicking on the above website   (hal.archives-ouvertes.fr)   will leave a cookie.)

Create and display a fractal similar to Fig 1. (Clicking on the above website   (hal.archives-ouvertes.fr)   will leave a cookie.)

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Fibonacci word/fractal step by step in the C programming language

This C code generates a PostScript file that draws a series of letters from 'c' to 'z' in a specific pattern. Here's a detailed explanation of what the code does:

  1. Header Information:

    • puts("%!PS-Adobe-3.0 EPSF"): This line specifies the PostScript version 3.0 and that this is an Encapsulated PostScript Format (EPSF) file.
    • puts("%%BoundingBox: -10 -10 400 565"): This specifies the bounding box of the PostScript image, defining the lower-left and upper-right coordinates (-10, -10) and (400, 565).
  2. Definition of PostScript Functions:

    • "/a{0 0 moveto 0 .4 translate 0 0 lineto stroke -1 1 scale}def" : This defines a PostScript function named "a" that draws a vertical line segment of length 0.4 units starting from the current point (0, 0).
    • "/b{a 90 rotate}def" : This defines a function named "b" that rotates the current point by 90 degrees counterclockwise.
  3. Loop for Letter Definitions:

    • The loop iterates from 'c' to 'z' (inclusive), defining a PostScript function for each letter.
    • For each letter (represented by variable i), it defines a function using the pattern `"/%c{%c %c}def" . This function draws a line segment from the ASCII code of the letter minus 1 to the ASCII code of the letter minus 2.
  4. PostScript Commands:

    • puts("0 setlinewidth z showpage"): This sets the line width to 0 units and invokes the "showpage" operator to display the PostScript content on the page.
    • puts("%%EOF"): This marks the end of the file.
  5. Main Function:

    • The main function calls the various functions to generate the PostScript content and write it to the standard output.

Source code in the c programming language

#include <stdio.h>

int main(void)
{
	puts(	"%!PS-Adobe-3.0 EPSF\n"
		"%%BoundingBox: -10 -10 400 565\n"
		"/a{0 0 moveto 0 .4 translate 0 0 lineto stroke -1 1 scale}def\n"
		"/b{a 90 rotate}def");

	char i;
	for (i = 'c'; i <= 'z'; i++)
		printf("/%c{%c %c}def\n", i, i-1, i-2);

	puts("0 setlinewidth z showpage\n%%EOF");

	return 0;
}

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