Advanced AI Prompt for Curvilinear Distorted Image Slider

Act as a WebGL Interaction Developer. Create a highly cinematic transition fragment shader tailored for a WebGL-based image slider carousel, heavily utilizing a curvilinear 'bulge' or 'barrel distortion' effect. During the slide transition state, the shader must aggressively warp the UV coordinates of both the incoming and outgoing texture samplers along the specific [DIRECTION] axis (X or Y) scaled by a massive [CURVE_INTENSITY] multiplier. Apply a simultaneous [ZOOM_LEVEL] matrix scale to the exact center of the frame hitting its apex precisely at the 50% mark of the transition curve. The pixel blending between the two textures must utilize a complex [INTERPOLATION] math (e.g., Screen or Overlay blending modes, not a simple `mix()`). Output the accompanying JavaScript logic required to continuously feed and update the `uProgress` uniform via an external Tweening library like GSAP.