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@ -788,15 +788,14 @@ static void thick_lines_to_indexed_vertex_array(
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#define TOP 2
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#define BOTTOM 3
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Line prev_line;
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// right, left, top, bottom
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int idx_prev[4] = { -1, -1, -1, -1 };
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double bottom_z_prev = 0.;
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Pointf b1_prev;
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Pointf b2_prev;
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Vectorf v_prev;
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int idx_initial[4] = { -1, -1, -1, -1 };
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double width_initial = 0.;
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double bottom_z_initial = 0.0;
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// loop once more in case of closed loops
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size_t lines_end = closed ? (lines.size() + 1) : lines.size();
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@ -804,13 +803,18 @@ static void thick_lines_to_indexed_vertex_array(
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size_t i = (ii == lines.size()) ? 0 : ii;
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const Line &line = lines[i];
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double len = unscale(line.length());
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double inv_len = 1.0 / len;
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double bottom_z = top_z - heights[i];
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double middle_z = (top_z + bottom_z) / 2.;
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double middle_z = 0.5 * (top_z + bottom_z);
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double width = widths[i];
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bool is_first = (ii == 0);
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bool is_last = (ii == lines_end - 1);
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bool is_closing = closed && is_last;
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Vectorf v = Vectorf::new_unscale(line.vector());
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v.scale(1. / len);
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v.scale(inv_len);
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Pointf a = Pointf::new_unscale(line.a);
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Pointf b = Pointf::new_unscale(line.b);
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Pointf a1 = a;
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@ -818,17 +822,19 @@ static void thick_lines_to_indexed_vertex_array(
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Pointf b1 = b;
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Pointf b2 = b;
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{
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double dist = width / 2.; // scaled
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a1.translate(+dist*v.y, -dist*v.x);
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a2.translate(-dist*v.y, +dist*v.x);
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b1.translate(+dist*v.y, -dist*v.x);
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b2.translate(-dist*v.y, +dist*v.x);
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double dist = 0.5 * width; // scaled
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double dx = dist * v.x;
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double dy = dist * v.y;
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a1.translate(+dy, -dx);
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a2.translate(-dy, +dx);
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b1.translate(+dy, -dx);
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b2.translate(-dy, +dx);
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}
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// calculate new XY normals
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Vector n = line.normal();
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Vectorf3 xy_right_normal = Vectorf3::new_unscale(n.x, n.y, 0);
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xy_right_normal.scale(1.f / len);
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xy_right_normal.scale(inv_len);
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int idx_a[4];
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int idx_b[4];
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@ -837,14 +843,21 @@ static void thick_lines_to_indexed_vertex_array(
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bool bottom_z_different = bottom_z_prev != bottom_z;
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bottom_z_prev = bottom_z;
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if (!is_first && bottom_z_different)
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{
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// Found a change of the layer thickness -> Add a cap at the end of the previous segment.
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volume.push_quad(idx_b[BOTTOM], idx_b[LEFT], idx_b[TOP], idx_b[RIGHT]);
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}
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// Share top / bottom vertices if possible.
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if (ii == 0) {
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idx_a[TOP] = idx_last ++;
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if (is_first) {
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idx_a[TOP] = idx_last++;
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volume.push_geometry(a.x, a.y, top_z , 0., 0., 1.);
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} else {
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idx_a[TOP] = idx_prev[TOP];
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}
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if (ii == 0 || bottom_z_different) {
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if (is_first || bottom_z_different) {
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// Start of the 1st line segment or a change of the layer thickness while maintaining the print_z.
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idx_a[BOTTOM] = idx_last ++;
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volume.push_geometry(a.x, a.y, bottom_z, 0., 0., -1.);
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@ -852,13 +865,15 @@ static void thick_lines_to_indexed_vertex_array(
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volume.push_geometry(a2.x, a2.y, middle_z, -xy_right_normal.x, -xy_right_normal.y, -xy_right_normal.z);
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idx_a[RIGHT] = idx_last ++;
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volume.push_geometry(a1.x, a1.y, middle_z, xy_right_normal.x, xy_right_normal.y, xy_right_normal.z);
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} else {
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}
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else {
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idx_a[BOTTOM] = idx_prev[BOTTOM];
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}
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if (ii == 0) {
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if (is_first) {
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// Start of the 1st line segment.
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width_initial = width;
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bottom_z_initial = bottom_z;
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memcpy(idx_initial, idx_a, sizeof(int) * 4);
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} else {
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// Continuing a previous segment.
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@ -866,43 +881,54 @@ static void thick_lines_to_indexed_vertex_array(
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double v_dot = dot(v_prev, v);
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bool sharp = v_dot < 0.707; // sin(45 degrees)
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if (sharp) {
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// Allocate new left / right points for the start of this segment as these points will receive their own normals to indicate a sharp turn.
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idx_a[RIGHT] = idx_last ++;
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volume.push_geometry(a1.x, a1.y, middle_z, xy_right_normal.x, xy_right_normal.y, xy_right_normal.z);
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idx_a[LEFT ] = idx_last ++;
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volume.push_geometry(a2.x, a2.y, middle_z, -xy_right_normal.x, -xy_right_normal.y, -xy_right_normal.z);
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if (!bottom_z_different)
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{
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// Allocate new left / right points for the start of this segment as these points will receive their own normals to indicate a sharp turn.
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idx_a[RIGHT] = idx_last++;
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volume.push_geometry(a1.x, a1.y, middle_z, xy_right_normal.x, xy_right_normal.y, xy_right_normal.z);
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idx_a[LEFT] = idx_last++;
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volume.push_geometry(a2.x, a2.y, middle_z, -xy_right_normal.x, -xy_right_normal.y, -xy_right_normal.z);
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}
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}
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if (v_dot > 0.9) {
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// The two successive segments are nearly collinear.
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idx_a[LEFT ] = idx_prev[LEFT];
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idx_a[RIGHT] = idx_prev[RIGHT];
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} else if (! sharp) {
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// Create a sharp corner with an overshot and average the left / right normals.
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// At the crease angle of 45 degrees, the overshot at the corner will be less than (1-1/cos(PI/8)) = 8.2% over an arc.
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Pointf intersection;
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Geometry::ray_ray_intersection(b1_prev, v_prev, a1, v, intersection);
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a1 = intersection;
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a2 = 2. * a - intersection;
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assert(length(a1.vector_to(a)) < width);
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assert(length(a2.vector_to(a)) < width);
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float *n_left_prev = volume.vertices_and_normals_interleaved.data() + idx_prev[LEFT ] * 6;
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float *p_left_prev = n_left_prev + 3;
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float *n_right_prev = volume.vertices_and_normals_interleaved.data() + idx_prev[RIGHT] * 6;
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float *p_right_prev = n_right_prev + 3;
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p_left_prev [0] = float(a2.x);
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p_left_prev [1] = float(a2.y);
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p_right_prev[0] = float(a1.x);
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p_right_prev[1] = float(a1.y);
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xy_right_normal.x += n_right_prev[0];
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xy_right_normal.y += n_right_prev[1];
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xy_right_normal.scale(1. / length(xy_right_normal));
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n_left_prev [0] = float(-xy_right_normal.x);
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n_left_prev [1] = float(-xy_right_normal.y);
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n_right_prev[0] = float( xy_right_normal.x);
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n_right_prev[1] = float( xy_right_normal.y);
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idx_a[LEFT ] = idx_prev[LEFT ];
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idx_a[RIGHT] = idx_prev[RIGHT];
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} else if (cross(v_prev, v) > 0.) {
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if (!bottom_z_different)
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{
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// The two successive segments are nearly collinear.
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idx_a[LEFT ] = idx_prev[LEFT];
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idx_a[RIGHT] = idx_prev[RIGHT];
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}
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}
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else if (!sharp) {
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if (!bottom_z_different)
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{
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// Create a sharp corner with an overshot and average the left / right normals.
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// At the crease angle of 45 degrees, the overshot at the corner will be less than (1-1/cos(PI/8)) = 8.2% over an arc.
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Pointf intersection;
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Geometry::ray_ray_intersection(b1_prev, v_prev, a1, v, intersection);
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a1 = intersection;
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a2 = 2. * a - intersection;
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assert(length(a1.vector_to(a)) < width);
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assert(length(a2.vector_to(a)) < width);
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float *n_left_prev = volume.vertices_and_normals_interleaved.data() + idx_prev[LEFT ] * 6;
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float *p_left_prev = n_left_prev + 3;
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float *n_right_prev = volume.vertices_and_normals_interleaved.data() + idx_prev[RIGHT] * 6;
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float *p_right_prev = n_right_prev + 3;
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p_left_prev [0] = float(a2.x);
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p_left_prev [1] = float(a2.y);
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p_right_prev[0] = float(a1.x);
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p_right_prev[1] = float(a1.y);
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xy_right_normal.x += n_right_prev[0];
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xy_right_normal.y += n_right_prev[1];
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xy_right_normal.scale(1. / length(xy_right_normal));
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n_left_prev [0] = float(-xy_right_normal.x);
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n_left_prev [1] = float(-xy_right_normal.y);
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n_right_prev[0] = float( xy_right_normal.x);
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n_right_prev[1] = float( xy_right_normal.y);
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idx_a[LEFT ] = idx_prev[LEFT ];
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idx_a[RIGHT] = idx_prev[RIGHT];
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}
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}
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else if (cross(v_prev, v) > 0.) {
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// Right turn. Fill in the right turn wedge.
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volume.push_triangle(idx_prev[RIGHT], idx_a [RIGHT], idx_prev[TOP] );
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volume.push_triangle(idx_prev[RIGHT], idx_prev[BOTTOM], idx_a [RIGHT] );
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@ -911,18 +937,21 @@ static void thick_lines_to_indexed_vertex_array(
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volume.push_triangle(idx_prev[LEFT], idx_prev[TOP], idx_a [LEFT] );
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volume.push_triangle(idx_prev[LEFT], idx_a [LEFT], idx_prev[BOTTOM]);
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}
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if (ii == lines.size()) {
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if (! sharp) {
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// Closing a loop with smooth transition. Unify the closing left / right vertices.
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memcpy(volume.vertices_and_normals_interleaved.data() + idx_initial[LEFT ] * 6, volume.vertices_and_normals_interleaved.data() + idx_prev[LEFT ] * 6, sizeof(float) * 6);
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memcpy(volume.vertices_and_normals_interleaved.data() + idx_initial[RIGHT] * 6, volume.vertices_and_normals_interleaved.data() + idx_prev[RIGHT] * 6, sizeof(float) * 6);
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volume.vertices_and_normals_interleaved.erase(volume.vertices_and_normals_interleaved.end() - 12, volume.vertices_and_normals_interleaved.end());
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// Replace the left / right vertex indices to point to the start of the loop.
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for (size_t u = volume.quad_indices.size() - 16; u < volume.quad_indices.size(); ++ u) {
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if (volume.quad_indices[u] == idx_prev[LEFT])
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volume.quad_indices[u] = idx_initial[LEFT];
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else if (volume.quad_indices[u] == idx_prev[RIGHT])
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volume.quad_indices[u] = idx_initial[RIGHT];
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if (is_closing) {
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if (!sharp) {
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if (!bottom_z_different)
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{
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// Closing a loop with smooth transition. Unify the closing left / right vertices.
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memcpy(volume.vertices_and_normals_interleaved.data() + idx_initial[LEFT ] * 6, volume.vertices_and_normals_interleaved.data() + idx_prev[LEFT ] * 6, sizeof(float) * 6);
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memcpy(volume.vertices_and_normals_interleaved.data() + idx_initial[RIGHT] * 6, volume.vertices_and_normals_interleaved.data() + idx_prev[RIGHT] * 6, sizeof(float) * 6);
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volume.vertices_and_normals_interleaved.erase(volume.vertices_and_normals_interleaved.end() - 12, volume.vertices_and_normals_interleaved.end());
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// Replace the left / right vertex indices to point to the start of the loop.
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for (size_t u = volume.quad_indices.size() - 16; u < volume.quad_indices.size(); ++ u) {
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if (volume.quad_indices[u] == idx_prev[LEFT])
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volume.quad_indices[u] = idx_initial[LEFT];
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else if (volume.quad_indices[u] == idx_prev[RIGHT])
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volume.quad_indices[u] = idx_initial[RIGHT];
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}
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}
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}
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// This is the last iteration, only required to solve the transition.
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@ -931,13 +960,14 @@ static void thick_lines_to_indexed_vertex_array(
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}
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// Only new allocate top / bottom vertices, if not closing a loop.
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if (closed && ii + 1 == lines.size()) {
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if (is_closing) {
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idx_b[TOP] = idx_initial[TOP];
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} else {
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idx_b[TOP] = idx_last ++;
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volume.push_geometry(b.x, b.y, top_z , 0., 0., 1.);
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}
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if (closed && ii + 1 == lines.size() && width == width_initial) {
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if (is_closing && (width == width_initial) && (bottom_z == bottom_z_initial)) {
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idx_b[BOTTOM] = idx_initial[BOTTOM];
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} else {
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idx_b[BOTTOM] = idx_last ++;
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@ -949,22 +979,26 @@ static void thick_lines_to_indexed_vertex_array(
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idx_b[RIGHT ] = idx_last ++;
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volume.push_geometry(b1.x, b1.y, middle_z, xy_right_normal.x, xy_right_normal.y, xy_right_normal.z);
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prev_line = line;
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memcpy(idx_prev, idx_b, 4 * sizeof(int));
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bottom_z_prev = bottom_z;
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b1_prev = b1;
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b2_prev = b2;
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v_prev = v;
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v_prev = v;
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if (bottom_z_different)
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{
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// Found a change of the layer thickness -> Add a cap at the beginning of this segment.
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volume.push_quad(idx_a[BOTTOM], idx_a[RIGHT], idx_a[TOP], idx_a[LEFT]);
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}
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if (! closed) {
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// Terminate open paths with caps.
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if (i == 0)
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if (is_first && !bottom_z_different)
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volume.push_quad(idx_a[BOTTOM], idx_a[RIGHT], idx_a[TOP], idx_a[LEFT]);
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// We don't use 'else' because both cases are true if we have only one line.
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if (i + 1 == lines.size())
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if (is_last && !bottom_z_different)
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volume.push_quad(idx_b[BOTTOM], idx_b[LEFT], idx_b[TOP], idx_b[RIGHT]);
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}
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// Add quads for a straight hollow tube-like segment.
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// bottom-right face
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volume.push_quad(idx_a[BOTTOM], idx_b[BOTTOM], idx_b[RIGHT], idx_a[RIGHT]);
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