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GLSL

attribute vec3 position3DHigh;
attribute vec3 position3DLow;
// In 2D and in 3D, texture coordinate normalization component signs encodes:
// * X sign - sidedness relative to right plane
// * Y sign - is negative OR magnitude is greater than 1.0 if vertex is on bottom of volume
#ifndef COLUMBUS_VIEW_2D
attribute vec4 startHiAndForwardOffsetX;
attribute vec4 startLoAndForwardOffsetY;
attribute vec4 startNormalAndForwardOffsetZ;
attribute vec4 endNormalAndTextureCoordinateNormalizationX;
attribute vec4 rightNormalAndTextureCoordinateNormalizationY;
#else
attribute vec4 startHiLo2D;
attribute vec4 offsetAndRight2D;
attribute vec4 startEndNormals2D;
attribute vec2 texcoordNormalization2D;
#endif
attribute float batchId;
varying vec4 v_startPlaneNormalEcAndHalfWidth;
varying vec4 v_endPlaneNormalEcAndBatchId;
varying vec4 v_rightPlaneEC;
varying vec4 v_endEcAndStartEcX;
varying vec4 v_texcoordNormalizationAndStartEcYZ;
// For materials
#ifdef WIDTH_VARYING
varying float v_width;
#endif
#ifdef ANGLE_VARYING
varying float v_polylineAngle;
#endif
#ifdef PER_INSTANCE_COLOR
varying vec4 v_color;
#endif
void main()
{
#ifdef COLUMBUS_VIEW_2D
vec3 ecStart = (czm_modelViewRelativeToEye * czm_translateRelativeToEye(vec3(0.0, startHiLo2D.xy), vec3(0.0, startHiLo2D.zw))).xyz;
vec3 forwardDirectionEC = czm_normal * vec3(0.0, offsetAndRight2D.xy);
vec3 ecEnd = forwardDirectionEC + ecStart;
forwardDirectionEC = normalize(forwardDirectionEC);
// Right plane
v_rightPlaneEC.xyz = czm_normal * vec3(0.0, offsetAndRight2D.zw);
v_rightPlaneEC.w = -dot(v_rightPlaneEC.xyz, ecStart);
// start plane
vec4 startPlaneEC;
startPlaneEC.xyz = czm_normal * vec3(0.0, startEndNormals2D.xy);
startPlaneEC.w = -dot(startPlaneEC.xyz, ecStart);
// end plane
vec4 endPlaneEC;
endPlaneEC.xyz = czm_normal * vec3(0.0, startEndNormals2D.zw);
endPlaneEC.w = -dot(endPlaneEC.xyz, ecEnd);
v_texcoordNormalizationAndStartEcYZ.x = abs(texcoordNormalization2D.x);
v_texcoordNormalizationAndStartEcYZ.y = texcoordNormalization2D.y;
#else // COLUMBUS_VIEW_2D
vec3 ecStart = (czm_modelViewRelativeToEye * czm_translateRelativeToEye(startHiAndForwardOffsetX.xyz, startLoAndForwardOffsetY.xyz)).xyz;
vec3 offset = czm_normal * vec3(startHiAndForwardOffsetX.w, startLoAndForwardOffsetY.w, startNormalAndForwardOffsetZ.w);
vec3 ecEnd = ecStart + offset;
vec3 forwardDirectionEC = normalize(offset);
// start plane
vec4 startPlaneEC;
startPlaneEC.xyz = czm_normal * startNormalAndForwardOffsetZ.xyz;
startPlaneEC.w = -dot(startPlaneEC.xyz, ecStart);
// end plane
vec4 endPlaneEC;
endPlaneEC.xyz = czm_normal * endNormalAndTextureCoordinateNormalizationX.xyz;
endPlaneEC.w = -dot(endPlaneEC.xyz, ecEnd);
// Right plane
v_rightPlaneEC.xyz = czm_normal * rightNormalAndTextureCoordinateNormalizationY.xyz;
v_rightPlaneEC.w = -dot(v_rightPlaneEC.xyz, ecStart);
v_texcoordNormalizationAndStartEcYZ.x = abs(endNormalAndTextureCoordinateNormalizationX.w);
v_texcoordNormalizationAndStartEcYZ.y = rightNormalAndTextureCoordinateNormalizationY.w;
#endif // COLUMBUS_VIEW_2D
v_endEcAndStartEcX.xyz = ecEnd;
v_endEcAndStartEcX.w = ecStart.x;
v_texcoordNormalizationAndStartEcYZ.zw = ecStart.yz;
#ifdef PER_INSTANCE_COLOR
v_color = czm_batchTable_color(batchId);
#endif // PER_INSTANCE_COLOR
// Compute a normal along which to "push" the position out, extending the miter depending on view distance.
// Position has already been "pushed" by unit length along miter normal, and miter normals are encoded in the planes.
// Decode the normal to use at this specific vertex, push the position back, and then push to where it needs to be.
vec4 positionRelativeToEye = czm_computePosition();
// Check distance to the end plane and start plane, pick the plane that is closer
vec4 positionEC = czm_modelViewRelativeToEye * positionRelativeToEye; // w = 1.0, see czm_computePosition
float absStartPlaneDistance = abs(czm_planeDistance(startPlaneEC, positionEC.xyz));
float absEndPlaneDistance = abs(czm_planeDistance(endPlaneEC, positionEC.xyz));
vec3 planeDirection = czm_branchFreeTernary(absStartPlaneDistance < absEndPlaneDistance, startPlaneEC.xyz, endPlaneEC.xyz);
vec3 upOrDown = normalize(cross(v_rightPlaneEC.xyz, planeDirection)); // Points "up" for start plane, "down" at end plane.
vec3 normalEC = normalize(cross(planeDirection, upOrDown)); // In practice, the opposite seems to work too.
// Extrude bottom vertices downward for far view distances, like for GroundPrimitives
upOrDown = cross(forwardDirectionEC, normalEC);
upOrDown = float(czm_sceneMode == czm_sceneMode3D) * upOrDown;
upOrDown = float(v_texcoordNormalizationAndStartEcYZ.y > 1.0 || v_texcoordNormalizationAndStartEcYZ.y < 0.0) * upOrDown;
upOrDown = min(GLOBE_MINIMUM_ALTITUDE, czm_geometricToleranceOverMeter * length(positionRelativeToEye.xyz)) * upOrDown;
positionEC.xyz += upOrDown;
v_texcoordNormalizationAndStartEcYZ.y = czm_branchFreeTernary(v_texcoordNormalizationAndStartEcYZ.y > 1.0, 0.0, abs(v_texcoordNormalizationAndStartEcYZ.y));
// Determine distance along normalEC to push for a volume of appropriate width.
// Make volumes about double pixel width for a conservative fit - in practice the
// extra cost here is minimal compared to the loose volume heights.
//
// N = normalEC (guaranteed "right-facing")
// R = rightEC
// p = angle between N and R
// w = distance to push along R if R == N
// d = distance to push along N
//
// N R
// { \ p| } * cos(p) = dot(N, R) = w / d
// d\ \ | |w * d = w / dot(N, R)
// { \| }
// o---------- polyline segment ---->
//
float width = czm_batchTable_width(batchId);
#ifdef WIDTH_VARYING
v_width = width;
#endif
v_startPlaneNormalEcAndHalfWidth.xyz = startPlaneEC.xyz;
v_startPlaneNormalEcAndHalfWidth.w = width * 0.5;
v_endPlaneNormalEcAndBatchId.xyz = endPlaneEC.xyz;
v_endPlaneNormalEcAndBatchId.w = batchId;
width = width * max(0.0, czm_metersPerPixel(positionEC)); // width = distance to push along R
width = width / dot(normalEC, v_rightPlaneEC.xyz); // width = distance to push along N
// Determine if this vertex is on the "left" or "right"
#ifdef COLUMBUS_VIEW_2D
normalEC *= sign(texcoordNormalization2D.x);
#else
normalEC *= sign(endNormalAndTextureCoordinateNormalizationX.w);
#endif
positionEC.xyz += width * normalEC;
gl_Position = czm_depthClamp(czm_projection * positionEC);
#ifdef ANGLE_VARYING
// Approximate relative screen space direction of the line.
vec2 approxLineDirection = normalize(vec2(forwardDirectionEC.x, -forwardDirectionEC.y));
approxLineDirection.y = czm_branchFreeTernary(approxLineDirection.x == 0.0 && approxLineDirection.y == 0.0, -1.0, approxLineDirection.y);
v_polylineAngle = czm_fastApproximateAtan(approxLineDirection.x, approxLineDirection.y);
#endif
}