#ifdef WRITE_DEPTH
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#ifdef GL_EXT_frag_depth
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#extension GL_EXT_frag_depth : enable
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#endif
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#endif
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uniform vec3 u_radii;
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uniform vec3 u_oneOverEllipsoidRadiiSquared;
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varying vec3 v_positionEC;
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vec4 computeEllipsoidColor(czm_ray ray, float intersection, float side)
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{
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vec3 positionEC = czm_pointAlongRay(ray, intersection);
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vec3 positionMC = (czm_inverseModelView * vec4(positionEC, 1.0)).xyz;
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vec3 geodeticNormal = normalize(czm_geodeticSurfaceNormal(positionMC, vec3(0.0), u_oneOverEllipsoidRadiiSquared));
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vec3 sphericalNormal = normalize(positionMC / u_radii);
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vec3 normalMC = geodeticNormal * side; // normalized surface normal (always facing the viewer) in model coordinates
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vec3 normalEC = normalize(czm_normal * normalMC); // normalized surface normal in eye coordiantes
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vec2 st = czm_ellipsoidWgs84TextureCoordinates(sphericalNormal);
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vec3 positionToEyeEC = -positionEC;
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czm_materialInput materialInput;
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materialInput.s = st.s;
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materialInput.st = st;
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materialInput.str = (positionMC + u_radii) / u_radii;
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materialInput.normalEC = normalEC;
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materialInput.tangentToEyeMatrix = czm_eastNorthUpToEyeCoordinates(positionMC, normalEC);
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materialInput.positionToEyeEC = positionToEyeEC;
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czm_material material = czm_getMaterial(materialInput);
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#ifdef ONLY_SUN_LIGHTING
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return czm_private_phong(normalize(positionToEyeEC), material, czm_sunDirectionEC);
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#else
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return czm_phong(normalize(positionToEyeEC), material, czm_lightDirectionEC);
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#endif
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}
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void main()
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{
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// PERFORMANCE_TODO: When dynamic branching is available, compute ratio of maximum and minimum radii
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// in the vertex shader. Only when it is larger than some constant, march along the ray.
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// Otherwise perform one intersection test which will be the common case.
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// Test if the ray intersects a sphere with the ellipsoid's maximum radius.
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// For very oblate ellipsoids, using the ellipsoid's radii for an intersection test
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// may cause false negatives. This will discard fragments before marching the ray forward.
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float maxRadius = max(u_radii.x, max(u_radii.y, u_radii.z)) * 1.5;
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vec3 direction = normalize(v_positionEC);
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vec3 ellipsoidCenter = czm_modelView[3].xyz;
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float t1 = -1.0;
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float t2 = -1.0;
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float b = -2.0 * dot(direction, ellipsoidCenter);
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float c = dot(ellipsoidCenter, ellipsoidCenter) - maxRadius * maxRadius;
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float discriminant = b * b - 4.0 * c;
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if (discriminant >= 0.0) {
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t1 = (-b - sqrt(discriminant)) * 0.5;
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t2 = (-b + sqrt(discriminant)) * 0.5;
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}
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if (t1 < 0.0 && t2 < 0.0) {
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discard;
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}
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float t = min(t1, t2);
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if (t < 0.0) {
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t = 0.0;
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}
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// March ray forward to intersection with larger sphere and find
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czm_ray ray = czm_ray(t * direction, direction);
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vec3 ellipsoid_inverseRadii = vec3(1.0 / u_radii.x, 1.0 / u_radii.y, 1.0 / u_radii.z);
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czm_raySegment intersection = czm_rayEllipsoidIntersectionInterval(ray, ellipsoidCenter, ellipsoid_inverseRadii);
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if (czm_isEmpty(intersection))
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{
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discard;
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}
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// If the viewer is outside, compute outsideFaceColor, with normals facing outward.
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vec4 outsideFaceColor = (intersection.start != 0.0) ? computeEllipsoidColor(ray, intersection.start, 1.0) : vec4(0.0);
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// If the viewer either is inside or can see inside, compute insideFaceColor, with normals facing inward.
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vec4 insideFaceColor = (outsideFaceColor.a < 1.0) ? computeEllipsoidColor(ray, intersection.stop, -1.0) : vec4(0.0);
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gl_FragColor = mix(insideFaceColor, outsideFaceColor, outsideFaceColor.a);
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gl_FragColor.a = 1.0 - (1.0 - insideFaceColor.a) * (1.0 - outsideFaceColor.a);
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#ifdef WRITE_DEPTH
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#ifdef GL_EXT_frag_depth
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t = (intersection.start != 0.0) ? intersection.start : intersection.stop;
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vec3 positionEC = czm_pointAlongRay(ray, t);
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vec4 positionCC = czm_projection * vec4(positionEC, 1.0);
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#ifdef LOG_DEPTH
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czm_writeLogDepth(1.0 + positionCC.w);
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#else
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float z = positionCC.z / positionCC.w;
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float n = czm_depthRange.near;
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float f = czm_depthRange.far;
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gl_FragDepthEXT = (z * (f - n) + f + n) * 0.5;
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#endif
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#endif
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#endif
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}
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