uniform int isWellBehaved;
                        uniform int isSwapped;
                        uniform int isNativelyFocal;

                        uniform half invR1;  // 1/r1
                        uniform half fx;     // focalX = r0/(r0-r1)

                        half4 main(float2 p) {
                            float t = -1;
                            half v = 1; // validation flag,set to negative to discard fragment later

                            float x_t = -1;
                            if (bool(isFocalOnCircle)) {
                                x_t = dot(p, p) / p.x;
                            } else if (bool(isWellBehaved)) {
                                x_t = length(p) - p.x * invR1;
                            } else {
                                float temp = p.x * p.x - p.y * p.y;

                                // Only do sqrt if temp >= 0; this is significantly slower than
                                // checking temp >= 0 in the if statement that checks r(t) >= 0.
                                // But GPU may break if we sqrt a negative float. (Although I
                                // haven't observed that on any devices so far, and the old
                                // approach also does sqrt negative value without a check.) If
                                // the performance is really critical, maybe we should just
                                // compute the area where temp and x_t are always valid and drop
                                // all these ifs.
                                if (temp >= 0) {
                                    if (bool(isSwapped) || !bool(isRadiusIncreasing)) {
                                        x_t = -sqrt(temp) - p.x * invR1;
                                    } else {
                                        x_t = sqrt(temp) - p.x * invR1;
                                    }
                                }
                            }

                            // The final calculation of t from x_t has lots of static
                            // optimizations but only do them when x_t is positive (which
                            // can be assumed true if isWellBehaved is true)
                            if (!bool(isWellBehaved)) {
                                // This will still calculate t even though it will be ignored
                                // later in the pipeline to avoid a branch
                                if (x_t <= 0.0) {
                                    v = -1;
                                }
                            }
                            if (bool(isRadiusIncreasing)) {
                                if (bool(isNativelyFocal)) {
                                    t = x_t;
                                } else {
                                    t = x_t + fx;
                                }
                            } else {
                                if (bool(isNativelyFocal)) {
                                    t = -x_t;
                                } else {
                                    t = -x_t + fx;
                                }
                            }

                            if (bool(isSwapped)) {
                                t = 1 - t;
                            }

                            return half4(half(t), v, 0, 0);
                        }