How to resolve the algorithm Fibonacci word/fractal step by step in the C programming language
Published on 7 June 2024 04:37 AM
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:
-
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).
-
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.
-
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.
-
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.
-
Main Function:
- The
main
function calls the various functions to generate the PostScript content and write it to the standard output.
- The
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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