diff --git a/manimlib/shaders/quadratic_bezier_stroke/frag.glsl b/manimlib/shaders/quadratic_bezier_stroke/frag.glsl
index aae49883..9dc2f7e0 100644
--- a/manimlib/shaders/quadratic_bezier_stroke/frag.glsl
+++ b/manimlib/shaders/quadratic_bezier_stroke/frag.glsl
@@ -19,30 +19,6 @@ out vec4 frag_color;
 #INSERT quadratic_bezier_distance.glsl
 
 
-float cross2d(vec2 v, vec2 w){
-    return v.x * w.y - w.x * v.y;
-}
-
-float modify_distance_for_endpoints(vec2 p, float dist, float t){
-    if (0 <= t && t <= 1) return dist;
-
-    float buff = 0.5 * uv_stroke_width - uv_anti_alias_width;
-    // Check the beginning of the curve
-    if(t < 0 && has_prev == 0) return max(dist, -p.x + buff);
-
-    if(t > 1){
-        // Check the end of the curve
-        vec2 v21 = vec2(1, 0) - uv_b2;
-        float len_v21 = length(v21);
-        if(len_v21 == 0) len_v21 = length(-uv_b2);
-
-        float perp_dist = dot(p - uv_b2, v21) / len_v21;
-        if(has_next == 0) return max(dist, -perp_dist + buff);
-    }
-    return dist;
-}
-
-
 float dist_to_curve(){
     float dist = min_dist_to_curve(uv_coords, uv_b2, bezier_degree);
     if(has_prev == 0 && uv_coords.x < 0){