C ++：围绕某个点旋转矢量 [英] C++: Rotating a vector around a certain point

问题描述

我尝试在向量上围绕某个点旋转一个向量（在C ++中）：

I am trying to rotate a vector around a certain point on the vector(in C++):

1 2 3
4 5 6
7 8 9

）（这是5）90度将导致：

rotated around the point (1,1) (which is the "5") 90 degrees would result in:

7 4 1
8 5 2
9 6 3

现在我正在使用：

x = (x * cos(90)) - (y * sin(90))
y = (y * cos(90)) + (x * sin(90))

但我不想让它旋转（0,0） / p>

But I don't want it rotated around (0,0)

推荐答案

由于 Mehrdad Afshari 对 Pesto 的帖子进行了评论，包括翻译回原始坐标系统的情况：

As Mehrdad Afshari commented on Pesto's post, including the translation back into the original coordinate system would be:

x_rotated = ((x - x_origin) * cos(angle)) - ((y_origin - y) * sin(angle)) + x_origin
y_rotated = ((y_origin - y) * cos(angle)) - ((x - x_origin) * sin(angle)) + y_origin

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