[vertex]

layout(location=0) in highp vec4 vertex_attrib;
layout(location=4) in vec2 uv_in;

uniform float offset_x;

out vec2 uv_interp;

void main() {

  uv_interp = uv_in;
  gl_Position = vec4(vertex_attrib.x + offset_x, vertex_attrib.y, 0.0, 1.0);
}

[fragment]

uniform sampler2D source; //texunit:0

uniform vec2 eye_center;
uniform float k1;
uniform float k2;
uniform float upscale;
uniform float aspect_ratio;

in vec2 uv_interp;

layout(location = 0) out vec4 frag_color;

void main() {
  vec2 coords = uv_interp;
  vec2 offset = coords - eye_center;

  // take aspect ratio into account
  offset.y /= aspect_ratio;

  // distort 
  vec2 offset_sq = offset * offset;
  float radius_sq = offset_sq.x + offset_sq.y;
  float radius_s4 = radius_sq * radius_sq;
  float distortion_scale = 1.0 + (k1 * radius_sq) + (k2 * radius_s4);
  offset *= distortion_scale;

  // reapply aspect ratio
  offset.y *= aspect_ratio;

  // add our eye center back in
  coords = offset + eye_center;
  coords /= upscale;

  // and check our color
  if (coords.x < -1.0 || coords.y < -1.0 || coords.x > 1.0 || coords.y > 1.0) {
    frag_color = vec4(0.0, 0.0, 0.0, 1.0);
  } else {
    coords = (coords + vec2(1.0)) / vec2(2.0);
    frag_color = textureLod(source, coords, 0.0);
  }
}