Z-Buffer Depth Testing

Write a C program that implements a z-buffer for two overlapping triangles.

Requirements:

• Define a 10x10 framebuffer (stores RGB) and a 10x10 z-buffer (stores float depth)
• Initialize z-buffer to 1.0 (far plane) and framebuffer to black
• Triangle 1: vertices at (2,2,z=0.3), (7,2,z=0.3), (4,7,z=0.3), color red (255,0,0)
• Triangle 2: vertices at (3,4,z=0.2), (8,4,z=0.2), (5,9,z=0.2), color blue (0,0,255)
• Triangle 2 is closer (smaller z) and should appear in front where they overlap
• For each triangle:
  • Compute bounding box
  • For each pixel in bounding box, compute barycentric coordinates
  • If inside, interpolate z from vertex depths using barycentric weights
  • If z < z-buffer[x][y], update z-buffer and set pixel color
• After both triangles, print the framebuffer as ASCII: 'R' for red, 'B' for blue, '.' for black
• Also print the final z-buffer values (rounded to 2 decimal places) for pixels that were written
• Explain why the blue triangle wins in the overlap region