发出在笛卡尔平面上旋转X，Y坐标的问题

Question

I am currently attempting to rotate a scatter plot theta degrees about an origin. Following my previous post, I am using the two sets of equations found here: https://en.wikipedia.org/wiki/Transformation_matrix

Note: This differs from my previous post, as this post addressed how the implementation of the equations is not working.

However, after applying the equations, it is not rotation about the origin at all.

Here is my current code:

//Loop through all points
for (int playerEntity = 0; playerEntity < 13; playerEntity++) {

    //x and y coords for point
    int px;
    int py;

    //If rotation angle requires counter clockwise (- degree) rotation
    if (theta< 0) {

        //Load point from scatter plot relative to origin
        px = positionX[playerEntity] / 20;
        py = positionY[playerEntity] / 20;

        //Convert the degree rotation to radians
        double rad = (theta*3.1415) / 180;

        //Apply Counter Clockwise rotation equations
        px = px * cos(rad) - py * sin(rad);
        py = py * cos(rad) + px * sin(rad);
    }
    else {
        //Load point from scatter plot relative to origin
        px = positionX[playerEntity] / 20;
        py = positionY[playerEntity] / 20;

        //Convert the degree rotation to radians
        double rad = (theta*3.1415) / 180;

        //Apply Clockwise rotation equations
        px = px * cos(rad) + py * sin(rad);
        py = py * cos(rad) - px * sin(rad);
    }


     //Define origin
     int originX = 1000;
     int originY = 500;

     //Graph points (Note it subtracts py, as negative y values make it plot upwards and positive y values make it plot downwards
     colorPixel(originX + px , originY- py);

}

Any ideas on how to fix it?

Answer 1

Your problem is in

    px = px * cos(rad) - py * sin(rad);
    py = py * cos(rad) + px * sin(rad);

When you calculate the new py you are using the already transformed px . Just do something like this:

    float px_new = px * cos(rad) - py * sin(rad);
    float py_new = py * cos(rad) + px * sin(rad);
    px = px_new; py = py_new;

I'm also not sure why you need the if branch for negative theta . If you always want to rotate clockwise, just write theta = std::abs(theta); (but that's likely not what you want).