Difference between revisions of "Advanced C++ Programming Tutorial 5"
From Chilipedia
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== Video Timestamp Index == | == Video Timestamp Index == | ||
[https://youtu.be/iNCx0yIeCNc Tutorial 5.1] | [https://youtu.be/iNCx0yIeCNc Tutorial 5.1] | ||
| + | <div class="mw-collapsible mw-collapsed"><br /> | ||
* Matrices: what are they, what are they good for? [https://youtu.be/iNCx0yIeCNc?t=0m44s 0:44] | * Matrices: what are they, what are they good for? [https://youtu.be/iNCx0yIeCNc?t=0m44s 0:44] | ||
* Basic Matrix operations: Matrix by Vector multiplication [https://youtu.be/iNCx0yIeCNc?t=3m05s 3:05] | * Basic Matrix operations: Matrix by Vector multiplication [https://youtu.be/iNCx0yIeCNc?t=3m05s 3:05] | ||
* Creating a templated <code>_Mat2<T></code> Matrix class [https://youtu.be/iNCx0yIeCNc?t=7m16s 7:16] | * Creating a templated <code>_Mat2<T></code> Matrix class [https://youtu.be/iNCx0yIeCNc?t=7m16s 7:16] | ||
| + | <div class="mw-collapsible-content"> | ||
:* Matrix data stored as 2D array <code>T arr[2][2]</code> | :* Matrix data stored as 2D array <code>T arr[2][2]</code> | ||
| + | </div> | ||
* Implementing the Matrix by Vector multiplication method [https://youtu.be/iNCx0yIeCNc?t=9m21s 9:21] | * Implementing the Matrix by Vector multiplication method [https://youtu.be/iNCx0yIeCNc?t=9m21s 9:21] | ||
* Testing in <code>game.cpp</code> [https://youtu.be/iNCx0yIeCNc?t=13m00s 13:00] | * Testing in <code>game.cpp</code> [https://youtu.be/iNCx0yIeCNc?t=13m00s 13:00] | ||
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:* Concatenating matrices cuts down the number of vector operations needed at runtime | :* Concatenating matrices cuts down the number of vector operations needed at runtime | ||
* What about translation? [https://youtu.be/iNCx0yIeCNc?t=31m20s 31:20] | * What about translation? [https://youtu.be/iNCx0yIeCNc?t=31m20s 31:20] | ||
| + | </div> | ||
[https://youtu.be/CS4HQdQnbaA Tutorial 5.2] | [https://youtu.be/CS4HQdQnbaA Tutorial 5.2] | ||
Revision as of 06:28, 14 April 2020
Hot take: the Matrix is a mediocre film at best. It's a pretty great way to encode transformations though, so let's matrix it up!
Topics
Part 1
- Matrix form
- Matrix by vector multiplication
- Matrix encoding of scaling, rotation, and flipping
- Matrix multiplication
- Concatenating matrix transforms
Part 2
- Augmented 3x3 matrix for encoding translations
- Matrix multiplication order matters!
- Porting pipeline to use matrix transforms
- Bug hunting!
Video Timestamp Index
- Matrices: what are they, what are they good for? 0:44
- Basic Matrix operations: Matrix by Vector multiplication 3:05
- Creating a templated
_Mat2<T>Matrix class 7:16
- Matrix data stored as 2D array
T arr[2][2]
- Matrix data stored as 2D array
- Implementing the Matrix by Vector multiplication method 9:21
- Testing in
game.cpp13:00 - Implementing basic transformations in Matrix form as static functions 15:16
- Scaling & Identity Matrices
- Flipping the y-axis
- Rotation
- Testing in
game.cpp21:25 - Basic matrix operations: Matrix multiplication 23:06
- Implementing & testing the Matrix multiplication method 25:52
- Recap: concatenating transformations by multiplying transformation matrices 30:10
- This is the beauty of matrix operations: one single concatenated matrix holds all the transformation information
- Concatenating matrices cuts down the number of vector operations needed at runtime
- What about translation? 31:20
- Timestamps WORK-IN-PROGRESS
Links
- GitHub Repo (advmath)
- Note that the code for this tutorial can be found on the <starfield> branch of the repo not in <master>
Homework
None! (or check out 3D Fundamentals you lazy fucks!)
