# 3D 坐标变换

## Coordinate System坐标系

OpenGL 使用了右手坐标系统，右手坐标系判断方法：在空间直角坐标系中，让右手拇指指向x轴的正方向，食指指向y轴的正方向，如果中指能指向z轴的正方向，则称这个坐标系为右手直角坐标系。

## Rotate 旋转

gl.glRotatef(90f, 1.0f, 0.0f, 0.0f);
gl.glRotatef(90f, 0.0f, 1.0f, 0.0f);
gl.glRotatef(90f, 0.0f, 0.0f, 1.0f);  

gl.glRotatef(90f, -1.0f, 0.0f, 0.0f);
gl.glRotatef(90f, 0.0f, -1.0f, 0.0f);
gl.glRotatef(90f, 0.0f, 0.0f, -1.0f);  

gl.glRotatef(90f, 0.0f, 0.0f, -1.0f);
gl.glRotatef(90f, 0.0f, -1.0f, 0.0f);
gl.glRotatef(90f, -1.0f, 0.0f, 0.0f);  

## Translate & Scale（平移和缩放组合变换）

gl.glTranslatef(2, 0, 0);
gl.glScalef(0.5f, 0.5f, 0.5f);  

gl.glScalef(0.5f, 0.5f, 0.5f);
gl.glTranslatef(2, 0, 0);  

## 矩阵操作，单位矩阵

public abstract void glLoadIdentity()。

public abstract void glPushMatrix()

public abstract void glPopMatrix()。

public void onDrawFrame(GL10 gl) {
// Clears the screen and depth buffer.
gl.glClear(GL10.GL_COLOR_BUFFER_BIT
| GL10.GL_DEPTH_BUFFER_BIT);
// Replace the current matrix with the identity matrix
// Translates 10 units into the screen.
gl.glTranslatef(0, 0, -10);
// SQUARE A
// Save the current matrix.
gl.glPushMatrix();
// Rotate square A counter-clockwise.
gl.glRotatef(angle, 0, 0, 1);
// Draw square A.
square.draw(gl);
// Restore the last matrix.
gl.glPopMatrix();
// SQUARE B
// Save the current matrix
gl.glPushMatrix();
// Rotate square B before moving it,
//making it rotate around A.
gl.glRotatef(-angle, 0, 0, 1);
// Move square B.
gl.glTranslatef(2, 0, 0);
// Scale it to 50% of square A
gl.glScalef(.5f, .5f, .5f);
// Draw square B.
square.draw(gl);
// SQUARE C
// Save the current matrix
gl.glPushMatrix();
// Make the rotation around B
gl.glRotatef(-angle, 0, 0, 1);
gl.glTranslatef(2, 0, 0);
// Scale it to 50% of square B
gl.glScalef(.5f, .5f, .5f);
// Rotate around it's own center.
gl.glRotatef(angle*10, 0, 0, 1);
// Draw square C.
square.draw(gl);
// Restore to the matrix as it was before C.
gl.glPopMatrix();
// Restore to the matrix as it was before B.
gl.glPopMatrix();
// Increse the angle.
angle++;
}