更新时间：2021-04-02 20:28:12
coverpage
Game Physics Cookbook
Credits
About the Author
Acknowledgements
About the Reviewer
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Customer Feedback
Preface
What this book covers
What you need for this book
Who this book is for
Sections
Conventions
Reader feedback
Customer support
Chapter 1. Vectors
Introduction
Vector definition
Component-wise operations
Dot product
Magnitude
Normalizing
Cross product
Angles
Projection
Reflection
Chapter 2. Matrices
Matrix definition
Transpose
Multiplication
Identity matrix
Determinant of a 2x2 matrix
Matrix of minors
Cofactor
Determinant of a 3x3 matrix
Operations on a 4x4 matrix
Adjugate matrix
Matrix inverse
Chapter 3. Matrix Transformations
Matrix majors
Translation
Scaling
How rotations work
Rotation matrices
Axis angle rotation
Vector matrix multiplication
Transform matrix
View matrix
Projection matrix
Chapter 4. 2D Primitive Shapes
2D points
2D lines
Circle
Rectangle
Oriented rectangle
Point containment
Line intersection
Chapter 5. 2D Collisions
Circle to circle
Circle to rectangle
Circle to oriented rectangle
Rectangle to rectangle
Separating Axis Theorem
Rectangle to oriented rectangle
Oriented rectangle to oriented rectangle
Chapter 6. 2D Optimizations
Containing circle
Containing rectangle
Simple and complex shapes
Quad tree
Broad phase collisions
Chapter 7. 3D Primitive Shapes
Point
Line segment
Ray
Sphere
Axis Aligned Bounding Box
Oriented Bounding Box
Plane
Triangle
Chapter 8. 3D Point Tests
Point and sphere
Point and AABB
Point and Oriented Bounding Box
Point and plane
Point and line
Point and ray
Chapter 9. 3D Shape Intersections
Sphere-to-sphere
