Jorge Rodriguez

We create a rollercoaster by appending a few cubic interpolations together to get a cubic spline.

Find the source code here: https://github.com/BSVino/MathForGameDevelopers/tree/nume......

-- Watch live at http://www.twitch.tv/bsvino

Linear interpolation is a powerful tool, made even moreso when combined with smoothing functions like cubics. In this video we show how to derive a cubic polynomial that satisfies our desired prope...

In this video we examine the "fast inverse square root" method developed for Quake 3 Arena. It uses floating point format hacking and Newton's Method to implement a very fast inverse square root me...

-- Watch live at http://www.twitch.tv/bsvino

You can find the roots of crazy complex functions quickly using Newton's Method, as long as you have a good starting point.


Not mentioned in the video but a good example of the use of Newton Iter...

Using fixed-point iteration to physically simulate underwater plants. You could also simulate many other types of plants with this system.

Find the source code here: https://github.com/BSVino/Math...

In this stream I finish the work on the fixed point video and also do a video on Newton's Method. -- Watch live at http://www.twitch.tv/bsvino

Bisection method is the first root finding method we will study. It allows us to find good estimates for otherwise difficult to calculate solutions.

For information on why it's important to choose...

In this stream I record the blackboard section of a fixed point video and work some on getting the code section of MFGD working again on mac. -- Watch live at http://www.twitch.tv/bsvino -- Watch l...

What operations can be done with floating point numbers and what problems arise when you use them? That's the subject of todays video.

Multiplying numbers in scientific notation: https://www.khana...

In this stream I and my helpful viewers write and record two videos, the FP operations video and the bisection method video. -- Watch live at http://www.twitch.tv/bsvino

Happening tomorrow at http://twitch.tv/bsvino

My twitter: http://twitter.com/vinobs

How floating point numbers work.

Intro to scientific notation: https://www.khanacademy.org/math/pre-algebra/exponents-ra...

New video every Thursd...

How to calculate the reflection of a vector off a plane given the normal of the plane.

Intro to vectors: https://www.youtube.com/playlist?list=PLW3Zl3wyJwWMduel9L...
Advanced vectors: ...

Lest you think I'm straw-manning, every single argument in this video was pulled from watching responses to the FemFreq videos made by people like Thunderf00t, The Amazing Atheist, and MrRepzion. S...

This bonus video breaks down exactly what happens every time a C or C++ program allocates memory. We can see why it takes so freaking long, and thus why game developers tend to avoid malloc in favo...

Restructuring your data structures such that their components are contiguous in memory is called "Structure of Arrays" and can afford additional performance gains.

Find the source code here: https...

Without any algorithmic changes we can process the exact same amount of data 40% faster by sorting the data so that the processor can correctly predict branches, thereby keeping the processor's pip...

This is a copy of the talk that I presented at ECGC on April 9, 2015.

A demonstration of how code can be optimized to take advantage of the memory hierarchy and how to reason about which level of cache your data is in.

Find the source code here: https://github.com/B...

We look more closely at specific levels of the memory hierarchy and some of their properties.

For an explanation of how programmers interact with compilers and processors this is a good book: Brya...

We examine how memory works and we look at the memory hierarchy.

New video every Thursday. Question? Leave a comment below, or ask me on Twitter: https://twitter.com/VinoBS

Unrolling loops reduces the amount of work an algorithm has to do. Often compilers can do this optimization themselves, but often they can't. Asymptotic running time aren't everything, it's importa...

We implement a hash function that we use to assign indexes into a hash table. This lets us look up our data very quickly.

I forgot to mention in the video but if we let n be the number of items in...

Giving structure to your data, for example by sorting it, can enable algorithms with much better running time.

New video every Thursday. Question? Leave a comment below, or ask me on Twitter: http...

We've learned that it's important to think about what algorithm we use, so this week we learn about how to quantify the running times of different algorithms.

New video every Thursday. Question? L...

Your choice of algorithm can make an astonishing difference in the performance of your code.

If you are wondering, "Why is this guy making math videos during the week between Christmas and New Yea...

Finding how much improvement to running time is possible from a particular optimization of your game.

New video every Thursday. Question? Leave a comment below, or ask me on Twitter: https://twitt...

The first step to know what to optimize and how good your optimizations are is to measure them. It's not very mathy but it's important so I cover it first.

New video every Thursday. Question? Leav...