I am learning opengl and I thought I pretty much understand fragment shader. My intuition is that fragment shader gets applied once to every pixel but recently when working with texture, I became confused on how they exactly work.
First of all, fragment shader typically takes in a series of texture coordinate so if I have a quad, the fragment shader would takes in the texture coordinates for the 4 corners of the quads. Now what I don't understand is the sampling process which is the process of taking the texture coordinates and getting the appropriate color value at that texture coordinates. Specifically, since I only supply 4 texture coordinates, how does opengl knows to samples the coordinates in between for color value.
This task is made even more confusing when you consider the fact that vertex shader goes straight to fragment shader and vertex shader gets applied per vertex. This means that at any given time, the fragment shader only knows about the texture coordinate corresponding to a single vertex rather than the whole 4 coordinates that make up the quads. Thus how exactly it knows to samples the values that fit the shapes on the screen when it only have one texture coordinates available at a time?