数学和游戏编程 [英] Mathematics and Game Programming

问题描述

我要编程图形2D游戏比2D基本的东西，我已经知道了更复杂。我不想做3D节目。只是更复杂的2D的东西。我放弃了高中之前，我可以学到很多东西，所以我走了足够的代数知识来平衡我的支票簿，做一些轻2D笛卡尔编程。

I want to program graphical 2D games more complex than the basic 2D stuff I already know. I don't want to do 3D programming. Just more complex 2D stuff. I dropped high school before I could learn a lot of stuff so I walked away with enough algebra knowledge to balance my checkbook and do some light 2D Cartesian programming.

是否有良好的资源在那里与有限的注意力一个人（比如每人一个主题，我在非常感兴趣20分钟）学习，渐渐的，如何做与数学更有用编程？

Are there any good resources out there for a guy with a limited attention span (say 20 minutes apiece for a subject I'm keenly interested in) to learn, gradually, how to do something more useful with math in programming?

推荐答案

您需要能胜任三角：维基百科和 Mathworld

You need to be competent in Trigonometry: Wikipedia and Mathworld

即使你不想做3D编程，2D游戏也可以使用向量和矩阵。 （线性代数）

Even though you don't wish to do 3D programming, 2D games also use vectors and matrices. (from Linear Algebra)

线性代数资源： Wikepedia 和的 Mathworld

有一点，将节省您大量的精力触发编程实现需要的 ATAN2（）功能的，而不是所述的atan（）函数。确定两个点之间的方向时，这是很重要的。

One point that will save you a lot of effort in Trig programming is realizing the need for the atan2() function, rather than the atan() function. This is important when determining the direction between two points.

如果能够协调不同系统之间移动是一大利好。这将配备经验。两种常见的事情，行程达人分别是：

Being able to move between various coordinate systems is a big plus. This will come with experience. Two common things that trip people up are:

一）大多数屏系统放置在左上角的原点（0,0），与正X轴延伸到右侧和向下延伸正y坐标。标准笛卡尔坐标假设象限1（其中，x和y为总是正值或零）在左下角的原点。这需要一个程序员翻转在y方向在某些阶段。

a) Most screen systems place the origin (0,0) in the upper left corner, with the positive x axis extending to the right and the positive y axis extending down. Standard Cartesian coordinates suppose the origin of Quadrant 1 (where x and y are always positive or zero) in the lower left. This requires a programmer to 'flip' the y orientation at some stage.

二）典型的地理场所0度为北和积极度扫顺时针。所有的三角函数把0度为东与积极度逆时针扫地。

b) Typical geography places 0 degrees as North and positive degrees sweep clockwise. All the Trig functions place 0 degrees as East with positive degrees sweeping counter-clockwise.

最后，虽然我们倾向于认为在度，真正的图书馆将使用弧度。 最好的做法是存储的角度为弧度（以'数学'的方向，而不是'地缘'）和显示的调试信息时，转换的东西..

Finally, even though we tend to think in degrees, real libraries will use radians. A best practice is to store angles as radians (in 'math' orientation rather than 'geo') and convert things when displaying debug information..

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