CAIRO_OPERATOR_CLEAR not working as expected - c++

Question

I want to remove parts of a previously filled shape with Cairo and C++.
Consider the following MWE:
void test(cairo_t *cr){
cairo_set_source_rgb(cr, 1, 1, 1);
cairo_paint(cr); //background
cairo_rectangle(cr, 50, 50, 150, 150);
cairo_set_source_rgb(cr, 0, 0, 1);
cairo_fill(cr); //first rect
cairo_set_operator(cr,CAIRO_OPERATOR_CLEAR);
cairo_arc(cr, 100, 100, 100, 0, M_PI * 2);
cairo_fill(cr); //circle that show remove a part of the rect
}
It results in the following picture:
According to the documentation I would have expected no black color at all, and all parts of the blue rectangle, that are under the circle to become removed (and therefore white as the background).
Did I misunderstand the operator? Did I make any mistake?

Answer 1

How would cairo know what you consider the background?
The documentation that you link to mentions that the alpha channels and all color channels are set to 0. This is fully transparent black.
The example in the documentation is an image with an alpha channel and thus the cleared parts become transparent.
You are using an image without an alpha channel and thus the cleared parts become black.