[video member=cmuratori stream_platform=twitch stream_username=handmade_hero project=chat title="Error-based Drawing Algorithms" vod_platform=youtube id=q79-Qh2suMY annotator=Miblo]
[0:11][Glimpse into the future beyond RSI Break]
[0:49][Blackboard: Bresenham]
[2:43][Blackboard: Drawing a pixel at a time directly to a CRT]
[6:48][Blackboard: Constructing an algorithm for drawing a line]
[15:19][Blackboard: Picking whether horizontal or vertical is the better choice, i.e. error-based drawing]
[27:04][Blackboard: Constructing an algorithm for drawing a circle]
[29:42]["I don't want to be at the club. This is not dance time"][quote 371]
[35:23][Blackboard: Optimising this circle-plotting routine]
[37:06][Blackboard: Transforming the implicit line-drawing equation into the circle one]
[40:09][Internet: Bresenham's line algorithm[ref
    site="Wikipedia"
    page="Bresenham's line algorithm"
    url="https://en.wikipedia.org/wiki/Bresenham%27s_line_algorithm"]]
[42:12][@elxenoaizd][I remember reading that Bresenham works for the first octant, and they had two cases to handle (slope >= 1 and slope < 1). Will this dx = sign(x1 - x0) address both of these concerns?]
[43:49][@Connor_Rentz][Do we ever do line drawing on Handmade Hero?]
[44:03][@elxenoaizd][I'm still not 100% sure how Bresenham figured out 'if horizontal is better'. You mentioned they used the line equation y = mx+b. How does that help them in knowing if horizontal is better?]
[46:38][@elxenoaizd][There were multiple extensions / optimizations done on Bresenham like drawing only half the line and mirroring it, and Run Slicing by Michael Abrash and Symmetric Double Step by Xialon Wu. Any thoughts on those?]
[48:25][@Pseudonym73][Little-known fact, Bresenham's method predates framebuffers by about five years. It was actually designed for a drum plotter]
[49:22][@arrrjt][I feel it should be deciding between "move right" and "move diagonally right and down", instead of either "left" or "down"]
[50:53][@elxenoaizd][Can that method be used to draw wireframe triangles, or is there a faster way to draw wireframe triangles like flat-bottom / flat-top trigs?]
[51:33][@XpansionPak][Is this ever used for uniform grid pathfinding?]
[52:16][@nxsy][For tomorrow: Given an entity with position and current velocity and maximum acceleration, and a target position, how do you determine the correct acceleration (direction and speed) each frame so that you stop on the target point?]
[53:55][@Pseudonym73][Oh, FYI, this is how I used to derive Bresenham's algorithm[ref
    site="Pastebin"
    page="Pseudonym73's derivation of Bresenham"
    url="http://pastebin.com/c7AGHAUT"]]
[54:41][@elxenoaizd][Was the cast from float to int really expensive at the time vs nowaday? is bresenham still relavent today or can we get away with a naive line drawing algo with floating math?]
[55:14][@nxsy][Acceleration is constrained to a maximum amount.]
[56:04][@Longboolean][Was this also used for bezier curves?]
[56:51][@cubercaleb][Off-topic but still on the topic of math: During these RSI streams do you think you could go over the math for replacing cmath, specifically the trig functions?]
[57:07][@CaptainKraft][Does OpenGL have this stuff implemented already?]
[57:14][@elxenoaizd][If you were to implement a line drawing function in Handmade Hero, what algorithm would you go for?]
[58:01][Wrap things up]
[/video]