precision mediump float;

varying vec2 vTextureCoord;
uniform sampler2D uSampler;
uniform vec3 params;
uniform vec2 resolution;
uniform vec2 size;
uniform vec2 center;

uniform mat3 mappedMatrix;
uniform mat3 unmappedMatrix;

vec2 scale = size / resolution;

void main() {
    vec3 mapCoord = vec3(vTextureCoord, 1.0) * mappedMatrix;
    vec2 p = (mapCoord.xy - center.xy) / scale;

    vec2 uv;
    uv.x = p.x / (sqrt(pow(params.x, 2.0) - pow(p.y, 2.0)) - params.x + 1.0);
    uv.y = p.y / (sqrt(pow(params.y, 2.0) - pow(p.y, 2.0)) + params.y);

    if(abs(uv.y) > 0.50) {
        discard;
    }

    if(abs(uv.x) > 0.499 / scale.x) {
        discard;
    }

    uv = uv * scale + center;
    gl_FragColor = texture2D(uSampler, (vec3(uv, 1.0) * unmappedMatrix).xy);
}