Ah yes, great book; thanks for pointing it out. Added to the list.

As for similarity, I think the sections you've highlighted are broadly similar, but I can't detect any phrase-for-phrase copy-pasting that is typical of LLM or thesaurus find-replace. I feel that the topic layout and the motivations for any tutorial or course covering the same subject matter will eventually converge to the same broad ideas.

The website's sequence of steps is also a bit different compared to your book's. And most telling, the code, diagrams, and maths in the website are all different (such assets are usually an instant giveaway of plagiarism). You've got pseudocode; the website uses the C++ standard library to a great extent.

If it were me, I might rest a little easier :)

its a standard pipeline, everything from everyone will look roughly similar. your book likely looks something like previous work. i wouldnt worry about it, ps i really loved your web tutorials back in the day

It's fairly easy to get triangle rasterisation performant if you think about the problem hard enough.

Here's an implementation I wrote for the PS3 SPU many moons ago: https://github.com/ralferoo/spugl/blob/master/pixelshaders/t...

That does perspective correct texture mapping, and from a quick count of the instructions in the main loop is approximately 44 cycles per 8 pixels.

The process of solving the half-line equation used also doesn't suffer from any overlapping pixel or gaps, as long as both points are the same and you use fixed point arithmetic.

The key trick is to rework each line equation such that it's effectively x.dx+y.dy+C=0. You can then evaluate A=x.dx+y.dy+C at the top left of the square that encloses the triangle. Every pixel to the right, you can just add dx, and every pixel down, you can just add dy. The sign bit indicates whether the pixel is or isn't inside that side of the triangle, and you can and/or the 3 side's sign bits together to determine whether a pixel is inside or outside the triangle. (Whether to use and or or depends on how you've decided to interpret the sign bit)

The calculation for the all the values consumed by the rasteriser (C,dx,dy) for all 3 sides of a triangle, given the 3 coordinates is here: https://github.com/ralferoo/spugl/blob/db6e22e18fdf3b4338390...

Some of the explanations I wrote down while trying to understand Barycentric coordinates (from which this stuff kind of just falls out of), ended up here: https://github.com/ralferoo/spugl/blob/master/doc/ideas.txt

(Apologies if my memory/terminology is a bit hazy on this - it was a very long time ago now!)

IIRC in terms of performance, this software implementation filling a 720p screen with perspective-correct texture mapped triangles could hit 60Hz using only 1 of the the 7 SPUs, although they weren't overlapping so there was no overdraw. The biggest problem was actually saturating the memory bandwidth, because I wasn't caching the texture data as an unconditional DMA fetch from main memory always completed before the values were needed later in the loop.

As the other posters have shown it’s not that hard.

Most graphics specs will explicitly say how tie break rules work.

The key is to work in fixed point (16.8 or even 16.4 if you’re feeling spicy). It’s not “trivial” but in general you write it and it’s done. It’s not something you have to go back to over and over for weird bugs.

Wide lines are a more fun case…

> One of the biggest issues is getting abutting triangles to render so you don't have overlapping pixels or gaps. > I did this stuff for a living 30 years ago.

So you did CAD or something like that? Since that matters far less in games.

> everyone has their own hacky solution to cram stuff into limited hardware

Limited hardware gave us a lot of classic titles and fundamental game mechanics.

Off the top of my head:

Metal Gear's stealth was born because they couldn't draw enough enemy sprites to make a shooting game. Instead they drew just a few and made you avoid them.

Ico's and Silent Hill's foggy atmosphere is partially determined by their polygon budget. They didn't have the hardware to draw distant scenery so they hid it in fog.

That's wishful thinking. The reality is that your iGPU will be used to decode the video stream of an Unreal game running on a dedicated GPU on some cloud server which you pay a monthly subscription fee for.