c++ - how to rotate all objects by their own centers and then translate them to the real position (it isn't working) -

what way make objects not aligned origin center (vector3(0.0f,0.0f,0.0f)) , rotate own central axis?

the problem in pseudo code:

vector3 vector3 objectcenter = (10,5,0); // current object center vector3 vector3 objectposition = (40,5,0); // place translate object vector3 objectrotation; = 45.0f;      matrix.loadidentity ();     matrix.translate (objectcenter);      //apply transformations     matrix.rotatex (objectrotation);      matrix.translate (-objectcenter);      //itś work correctly until here     //when try translate object real position, rotation incorrect.      matrix.translate (objectposition); 

i use c++, glm (to matrix manage) , opengl.

if want rotate object locally own coordinate system this:

m=inverse(inverse(m)*rotation_matrix); 

• m object transform matrix
• rotation_matrix rotation (glrotate())
• inverse function computes inverse matrix
• you can use mine inverse matrix computation
• or rotation around lcs x (lrotx) implementation in c++ (at bottom of answer)

[edit1] more relation between m , object coordinate system represents

• look here: transform matrix anatomy
• m origin middle of object (or point center of rotation movements)
• axises of m aligned object
• for example in airplanes x axis fly direction
• i more used +z axis forward direction movement
• +x right, -x left
• +y , -y down
• pith,yaw,roll object local rotations around x,y,z