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Rendering to different viewports (parts) of the same screen can be done as follows:

For example splitting screen into four parts and rendering the same scene four times to each corner with different uniforms and different viewports:

bindFramebuffer();
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
scene->setConstPerFrameUniforms();

//left bottom
glViewport(0, 0, WindowWidth*0.5, WindowHeight*0.5);
scene->setVarPerFrameUniforms(1);
scene->draw();

//right bottom
glViewport(WindowWidth*0.5, 0, WindowWidth*0.5, WindowHeight*0.5);
scene->setVarPerFrameUniforms(2);
scene->draw();

//left top
glViewport(0, WindowHeight*0.5, WindowWidth*0.5, WindowHeight*0.5);
scene->setVarPerFrameUniforms(3);
scene->draw();

//right top
glViewport(WindowWidth*0.5, WindowHeight*0.5, WindowWidth*0.5, WindowHeight*0.5);
scene->setVarPerFrameUniforms(4);
scene->draw();

glViewport(0, 0, WindowWidth, WindowHeight); //restore default