d95794ec8a
As many open source projects have started doing it, we're removing the current year from the copyright notice, so that we don't need to bump it every year. It seems like only the first year of publication is technically relevant for copyright notices, and even that seems to be something that many companies stopped listing altogether (in a version controlled codebase, the commits are a much better source of date of publication than a hardcoded copyright statement). We also now list Godot Engine contributors first as we're collectively the current maintainers of the project, and we clarify that the "exclusive" copyright of the co-founders covers the timespan before opensourcing (their further contributions are included as part of Godot Engine contributors). Also fixed "cf." Frenchism - it's meant as "refer to / see".
584 lines
18 KiB
C++
584 lines
18 KiB
C++
/**************************************************************************/
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/* line_builder.cpp */
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/**************************************************************************/
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/* This file is part of: */
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/* GODOT ENGINE */
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/* https://godotengine.org */
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/**************************************************************************/
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/* Copyright (c) 2014-present Godot Engine contributors (see AUTHORS.md). */
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/* Copyright (c) 2007-2014 Juan Linietsky, Ariel Manzur. */
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/* */
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/* Permission is hereby granted, free of charge, to any person obtaining */
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/* a copy of this software and associated documentation files (the */
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/* "Software"), to deal in the Software without restriction, including */
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/* without limitation the rights to use, copy, modify, merge, publish, */
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/* distribute, sublicense, and/or sell copies of the Software, and to */
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/* permit persons to whom the Software is furnished to do so, subject to */
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/* the following conditions: */
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/* */
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/* The above copyright notice and this permission notice shall be */
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/* included in all copies or substantial portions of the Software. */
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/* */
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/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
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/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
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/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. */
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/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
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/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
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/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
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/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
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/**************************************************************************/
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#include "line_builder.h"
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//----------------------------------------------------------------------------
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// Util
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//----------------------------------------------------------------------------
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enum SegmentIntersectionResult {
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SEGMENT_PARALLEL = 0,
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SEGMENT_NO_INTERSECT = 1,
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SEGMENT_INTERSECT = 2
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};
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static SegmentIntersectionResult segment_intersection(
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Vector2 a, Vector2 b, Vector2 c, Vector2 d,
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Vector2 *out_intersection) {
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// http://paulbourke.net/geometry/pointlineplane/ <-- Good stuff
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Vector2 cd = d - c;
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Vector2 ab = b - a;
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float div = cd.y * ab.x - cd.x * ab.y;
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if (Math::abs(div) > 0.001f) {
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float ua = (cd.x * (a.y - c.y) - cd.y * (a.x - c.x)) / div;
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float ub = (ab.x * (a.y - c.y) - ab.y * (a.x - c.x)) / div;
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*out_intersection = a + ua * ab;
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if (ua >= 0.f && ua <= 1.f &&
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ub >= 0.f && ub <= 1.f) {
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return SEGMENT_INTERSECT;
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}
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return SEGMENT_NO_INTERSECT;
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}
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return SEGMENT_PARALLEL;
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}
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static float calculate_total_distance(const Vector<Vector2> &points) {
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float d = 0.f;
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for (int i = 1; i < points.size(); ++i) {
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d += points[i].distance_to(points[i - 1]);
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}
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return d;
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}
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static inline Vector2 rotate90(const Vector2 &v) {
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// Note: the 2D referential is X-right, Y-down
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return Vector2(v.y, -v.x);
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}
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static inline Vector2 interpolate(const Rect2 &r, const Vector2 &v) {
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return Vector2(
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Math::lerp(r.position.x, r.position.x + r.get_size().x, v.x),
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Math::lerp(r.position.y, r.position.y + r.get_size().y, v.y));
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}
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//----------------------------------------------------------------------------
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// LineBuilder
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//----------------------------------------------------------------------------
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LineBuilder::LineBuilder() {
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}
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void LineBuilder::clear_output() {
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vertices.clear();
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colors.clear();
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indices.clear();
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uvs.clear();
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}
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void LineBuilder::build() {
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// Need at least 2 points to draw a line
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if (points.size() < 2) {
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clear_output();
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return;
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}
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ERR_FAIL_COND(tile_aspect <= 0.f);
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const float hw = width / 2.f;
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const float hw_sq = hw * hw;
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const float sharp_limit_sq = sharp_limit * sharp_limit;
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const int len = points.size();
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// Initial values
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Vector2 pos0 = points[0];
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Vector2 pos1 = points[1];
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Vector2 f0 = (pos1 - pos0).normalized();
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Vector2 u0 = rotate90(f0);
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Vector2 pos_up0 = pos0;
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Vector2 pos_down0 = pos0;
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Color color0;
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Color color1;
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float current_distance0 = 0.f;
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float current_distance1 = 0.f;
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float total_distance = 0.f;
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float width_factor = 1.f;
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_interpolate_color = gradient != nullptr;
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bool retrieve_curve = curve != nullptr;
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bool distance_required = _interpolate_color ||
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retrieve_curve ||
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texture_mode == Line2D::LINE_TEXTURE_TILE ||
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texture_mode == Line2D::LINE_TEXTURE_STRETCH;
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if (distance_required) {
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total_distance = calculate_total_distance(points);
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//Adjust totalDistance.
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// The line's outer length will be a little higher due to begin and end caps
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if (begin_cap_mode == Line2D::LINE_CAP_BOX || begin_cap_mode == Line2D::LINE_CAP_ROUND) {
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if (retrieve_curve) {
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total_distance += width * curve->sample_baked(0.f) * 0.5f;
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} else {
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total_distance += width * 0.5f;
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}
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}
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if (end_cap_mode == Line2D::LINE_CAP_BOX || end_cap_mode == Line2D::LINE_CAP_ROUND) {
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if (retrieve_curve) {
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total_distance += width * curve->sample_baked(1.f) * 0.5f;
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} else {
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total_distance += width * 0.5f;
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}
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}
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}
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if (_interpolate_color) {
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color0 = gradient->get_color(0);
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} else {
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colors.push_back(default_color);
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}
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float uvx0 = 0.f;
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float uvx1 = 0.f;
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if (retrieve_curve) {
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width_factor = curve->sample_baked(0.f);
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}
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pos_up0 += u0 * hw * width_factor;
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pos_down0 -= u0 * hw * width_factor;
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// Begin cap
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if (begin_cap_mode == Line2D::LINE_CAP_BOX) {
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// Push back first vertices a little bit
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pos_up0 -= f0 * hw * width_factor;
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pos_down0 -= f0 * hw * width_factor;
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current_distance0 += hw * width_factor;
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current_distance1 = current_distance0;
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} else if (begin_cap_mode == Line2D::LINE_CAP_ROUND) {
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if (texture_mode == Line2D::LINE_TEXTURE_TILE) {
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uvx0 = width_factor * 0.5f / tile_aspect;
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} else if (texture_mode == Line2D::LINE_TEXTURE_STRETCH) {
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uvx0 = width * width_factor / total_distance;
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}
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new_arc(pos0, pos_up0 - pos0, -Math_PI, color0, Rect2(0.f, 0.f, uvx0 * 2, 1.f));
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current_distance0 += hw * width_factor;
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current_distance1 = current_distance0;
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}
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strip_begin(pos_up0, pos_down0, color0, uvx0);
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/*
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* pos_up0 ------------- pos_up1 --------------------
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* | |
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* pos0 - - - - - - - - - pos1 - - - - - - - - - pos2
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* | |
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* pos_down0 ------------ pos_down1 ------------------
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*
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* i-1 i i+1
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*/
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// http://labs.hyperandroid.com/tag/opengl-lines
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// (not the same implementation but visuals help a lot)
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// For each additional segment
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for (int i = 1; i < len - 1; ++i) {
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pos1 = points[i];
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Vector2 pos2 = points[i + 1];
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Vector2 f1 = (pos2 - pos1).normalized();
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Vector2 u1 = rotate90(f1);
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// Determine joint orientation
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const float dp = u0.dot(f1);
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const Orientation orientation = (dp > 0.f ? UP : DOWN);
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if (distance_required) {
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current_distance1 += pos0.distance_to(pos1);
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}
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if (_interpolate_color) {
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color1 = gradient->get_color_at_offset(current_distance1 / total_distance);
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}
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if (retrieve_curve) {
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width_factor = curve->sample_baked(current_distance1 / total_distance);
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}
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Vector2 inner_normal0, inner_normal1;
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if (orientation == UP) {
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inner_normal0 = u0 * hw * width_factor;
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inner_normal1 = u1 * hw * width_factor;
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} else {
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inner_normal0 = -u0 * hw * width_factor;
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inner_normal1 = -u1 * hw * width_factor;
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}
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/*
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* ---------------------------
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* /
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* 0 / 1
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* / /
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* --------------------x------ /
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* / / (here shown with orientation == DOWN)
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* / /
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* / /
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* / /
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* 2 /
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* /
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*/
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// Find inner intersection at the joint
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Vector2 corner_pos_in, corner_pos_out;
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SegmentIntersectionResult intersection_result = segment_intersection(
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pos0 + inner_normal0, pos1 + inner_normal0,
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pos1 + inner_normal1, pos2 + inner_normal1,
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&corner_pos_in);
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if (intersection_result == SEGMENT_INTERSECT) {
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// Inner parts of the segments intersect
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corner_pos_out = 2.f * pos1 - corner_pos_in;
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} else {
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// No intersection, segments are either parallel or too sharp
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corner_pos_in = pos1 + inner_normal0;
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corner_pos_out = pos1 - inner_normal0;
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}
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Vector2 corner_pos_up, corner_pos_down;
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if (orientation == UP) {
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corner_pos_up = corner_pos_in;
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corner_pos_down = corner_pos_out;
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} else {
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corner_pos_up = corner_pos_out;
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corner_pos_down = corner_pos_in;
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}
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Line2D::LineJointMode current_joint_mode = joint_mode;
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Vector2 pos_up1, pos_down1;
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if (intersection_result == SEGMENT_INTERSECT) {
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// Fallback on bevel if sharp angle is too high (because it would produce very long miters)
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float width_factor_sq = width_factor * width_factor;
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if (current_joint_mode == Line2D::LINE_JOINT_SHARP && corner_pos_out.distance_squared_to(pos1) / (hw_sq * width_factor_sq) > sharp_limit_sq) {
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current_joint_mode = Line2D::LINE_JOINT_BEVEL;
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}
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if (current_joint_mode == Line2D::LINE_JOINT_SHARP) {
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// In this case, we won't create joint geometry,
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// The previous and next line quads will directly share an edge.
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pos_up1 = corner_pos_up;
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pos_down1 = corner_pos_down;
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} else {
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// Bevel or round
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if (orientation == UP) {
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pos_up1 = corner_pos_up;
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pos_down1 = pos1 - u0 * hw * width_factor;
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} else {
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pos_up1 = pos1 + u0 * hw * width_factor;
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pos_down1 = corner_pos_down;
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}
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}
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} else {
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// No intersection: fallback
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if (current_joint_mode == Line2D::LINE_JOINT_SHARP) {
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// There is no fallback implementation for LINE_JOINT_SHARP so switch to the LINE_JOINT_BEVEL
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current_joint_mode = Line2D::LINE_JOINT_BEVEL;
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}
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pos_up1 = corner_pos_up;
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pos_down1 = corner_pos_down;
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}
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// Add current line body quad
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// Triangles are clockwise
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if (texture_mode == Line2D::LINE_TEXTURE_TILE) {
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uvx1 = current_distance1 / (width * tile_aspect);
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} else if (texture_mode == Line2D::LINE_TEXTURE_STRETCH) {
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uvx1 = current_distance1 / total_distance;
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}
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strip_add_quad(pos_up1, pos_down1, color1, uvx1);
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// Swap vars for use in the next line
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color0 = color1;
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u0 = u1;
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f0 = f1;
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pos0 = pos1;
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if (intersection_result == SEGMENT_INTERSECT) {
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if (current_joint_mode == Line2D::LINE_JOINT_SHARP) {
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pos_up0 = pos_up1;
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pos_down0 = pos_down1;
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} else {
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if (orientation == UP) {
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pos_up0 = corner_pos_up;
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pos_down0 = pos1 - u1 * hw * width_factor;
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} else {
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pos_up0 = pos1 + u1 * hw * width_factor;
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pos_down0 = corner_pos_down;
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}
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}
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} else {
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pos_up0 = pos1 + u1 * hw * width_factor;
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pos_down0 = pos1 - u1 * hw * width_factor;
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}
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// From this point, bu0 and bd0 concern the next segment
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// Add joint geometry
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if (current_joint_mode != Line2D::LINE_JOINT_SHARP) {
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/* ________________ cbegin
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* / \
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* / \
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* ____________/_ _ _\ cend
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* | |
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* | |
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* | |
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*/
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Vector2 cbegin, cend;
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if (orientation == UP) {
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cbegin = pos_down1;
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cend = pos_down0;
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} else {
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cbegin = pos_up1;
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cend = pos_up0;
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}
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if (current_joint_mode == Line2D::LINE_JOINT_BEVEL) {
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strip_add_tri(cend, orientation);
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} else if (current_joint_mode == Line2D::LINE_JOINT_ROUND) {
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Vector2 vbegin = cbegin - pos1;
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Vector2 vend = cend - pos1;
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strip_add_arc(pos1, vbegin.angle_to(vend), orientation);
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}
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if (intersection_result != SEGMENT_INTERSECT) {
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// In this case the joint is too corrupted to be re-used,
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// start again the strip with fallback points
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strip_begin(pos_up0, pos_down0, color1, uvx1);
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}
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}
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}
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// Last (or only) segment
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pos1 = points[points.size() - 1];
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if (distance_required) {
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current_distance1 += pos0.distance_to(pos1);
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}
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if (_interpolate_color) {
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color1 = gradient->get_color(gradient->get_point_count() - 1);
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}
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if (retrieve_curve) {
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width_factor = curve->sample_baked(1.f);
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}
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Vector2 pos_up1 = pos1 + u0 * hw * width_factor;
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Vector2 pos_down1 = pos1 - u0 * hw * width_factor;
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// End cap (box)
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if (end_cap_mode == Line2D::LINE_CAP_BOX) {
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pos_up1 += f0 * hw * width_factor;
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pos_down1 += f0 * hw * width_factor;
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}
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if (texture_mode == Line2D::LINE_TEXTURE_TILE) {
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uvx1 = current_distance1 / (width * tile_aspect);
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} else if (texture_mode == Line2D::LINE_TEXTURE_STRETCH) {
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uvx1 = current_distance1 / total_distance;
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}
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strip_add_quad(pos_up1, pos_down1, color1, uvx1);
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// End cap (round)
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if (end_cap_mode == Line2D::LINE_CAP_ROUND) {
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// Note: color is not used in case we don't interpolate...
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Color color = _interpolate_color ? gradient->get_color(gradient->get_point_count() - 1) : Color(0, 0, 0);
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float dist = 0;
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if (texture_mode == Line2D::LINE_TEXTURE_TILE) {
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dist = width_factor / tile_aspect;
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} else if (texture_mode == Line2D::LINE_TEXTURE_STRETCH) {
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dist = width * width_factor / total_distance;
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}
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new_arc(pos1, pos_up1 - pos1, Math_PI, color, Rect2(uvx1 - 0.5f * dist, 0.f, dist, 1.f));
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}
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}
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void LineBuilder::strip_begin(Vector2 up, Vector2 down, Color color, float uvx) {
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int vi = vertices.size();
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vertices.push_back(up);
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vertices.push_back(down);
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if (_interpolate_color) {
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colors.push_back(color);
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colors.push_back(color);
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}
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if (texture_mode != Line2D::LINE_TEXTURE_NONE) {
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uvs.push_back(Vector2(uvx, 0.f));
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uvs.push_back(Vector2(uvx, 1.f));
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}
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_last_index[UP] = vi;
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_last_index[DOWN] = vi + 1;
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}
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void LineBuilder::strip_add_quad(Vector2 up, Vector2 down, Color color, float uvx) {
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int vi = vertices.size();
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vertices.push_back(up);
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vertices.push_back(down);
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if (_interpolate_color) {
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colors.push_back(color);
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colors.push_back(color);
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}
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if (texture_mode != Line2D::LINE_TEXTURE_NONE) {
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uvs.push_back(Vector2(uvx, 0.f));
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uvs.push_back(Vector2(uvx, 1.f));
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}
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indices.push_back(_last_index[UP]);
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indices.push_back(vi + 1);
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indices.push_back(_last_index[DOWN]);
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indices.push_back(_last_index[UP]);
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indices.push_back(vi);
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indices.push_back(vi + 1);
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_last_index[UP] = vi;
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_last_index[DOWN] = vi + 1;
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}
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void LineBuilder::strip_add_tri(Vector2 up, Orientation orientation) {
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int vi = vertices.size();
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vertices.push_back(up);
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if (_interpolate_color) {
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colors.push_back(colors[colors.size() - 1]);
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}
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Orientation opposite_orientation = orientation == UP ? DOWN : UP;
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if (texture_mode != Line2D::LINE_TEXTURE_NONE) {
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// UVs are just one slice of the texture all along
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// (otherwise we can't share the bottom vertex)
|
|
uvs.push_back(uvs[_last_index[opposite_orientation]]);
|
|
}
|
|
|
|
indices.push_back(_last_index[opposite_orientation]);
|
|
indices.push_back(vi);
|
|
indices.push_back(_last_index[orientation]);
|
|
|
|
_last_index[opposite_orientation] = vi;
|
|
}
|
|
|
|
void LineBuilder::strip_add_arc(Vector2 center, float angle_delta, Orientation orientation) {
|
|
// Take the two last vertices and extrude an arc made of triangles
|
|
// that all share one of the initial vertices
|
|
|
|
Orientation opposite_orientation = orientation == UP ? DOWN : UP;
|
|
Vector2 vbegin = vertices[_last_index[opposite_orientation]] - center;
|
|
float radius = vbegin.length();
|
|
float angle_step = Math_PI / static_cast<float>(round_precision);
|
|
float steps = Math::abs(angle_delta) / angle_step;
|
|
|
|
if (angle_delta < 0.f) {
|
|
angle_step = -angle_step;
|
|
}
|
|
|
|
float t = Vector2(1, 0).angle_to(vbegin);
|
|
float end_angle = t + angle_delta;
|
|
Vector2 rpos(0, 0);
|
|
|
|
// Arc vertices
|
|
for (int ti = 0; ti < steps; ++ti, t += angle_step) {
|
|
rpos = center + Vector2(Math::cos(t), Math::sin(t)) * radius;
|
|
strip_add_tri(rpos, orientation);
|
|
}
|
|
|
|
// Last arc vertex
|
|
rpos = center + Vector2(Math::cos(end_angle), Math::sin(end_angle)) * radius;
|
|
strip_add_tri(rpos, orientation);
|
|
}
|
|
|
|
void LineBuilder::new_arc(Vector2 center, Vector2 vbegin, float angle_delta, Color color, Rect2 uv_rect) {
|
|
// Make a standalone arc that doesn't use existing vertices,
|
|
// with undistorted UVs from within a square section
|
|
|
|
float radius = vbegin.length();
|
|
float angle_step = Math_PI / static_cast<float>(round_precision);
|
|
float steps = Math::abs(angle_delta) / angle_step;
|
|
|
|
if (angle_delta < 0.f) {
|
|
angle_step = -angle_step;
|
|
}
|
|
|
|
float t = Vector2(1, 0).angle_to(vbegin);
|
|
float end_angle = t + angle_delta;
|
|
Vector2 rpos(0, 0);
|
|
float tt_begin = -Math_PI / 2.0f;
|
|
float tt = tt_begin;
|
|
|
|
// Center vertice
|
|
int vi = vertices.size();
|
|
vertices.push_back(center);
|
|
if (_interpolate_color) {
|
|
colors.push_back(color);
|
|
}
|
|
if (texture_mode != Line2D::LINE_TEXTURE_NONE) {
|
|
uvs.push_back(interpolate(uv_rect, Vector2(0.5f, 0.5f)));
|
|
}
|
|
|
|
// Arc vertices
|
|
for (int ti = 0; ti < steps; ++ti, t += angle_step) {
|
|
Vector2 sc = Vector2(Math::cos(t), Math::sin(t));
|
|
rpos = center + sc * radius;
|
|
|
|
vertices.push_back(rpos);
|
|
if (_interpolate_color) {
|
|
colors.push_back(color);
|
|
}
|
|
if (texture_mode != Line2D::LINE_TEXTURE_NONE) {
|
|
Vector2 tsc = Vector2(Math::cos(tt), Math::sin(tt));
|
|
uvs.push_back(interpolate(uv_rect, 0.5f * (tsc + Vector2(1.f, 1.f))));
|
|
tt += angle_step;
|
|
}
|
|
}
|
|
|
|
// Last arc vertex
|
|
Vector2 sc = Vector2(Math::cos(end_angle), Math::sin(end_angle));
|
|
rpos = center + sc * radius;
|
|
vertices.push_back(rpos);
|
|
if (_interpolate_color) {
|
|
colors.push_back(color);
|
|
}
|
|
if (texture_mode != Line2D::LINE_TEXTURE_NONE) {
|
|
tt = tt_begin + angle_delta;
|
|
Vector2 tsc = Vector2(Math::cos(tt), Math::sin(tt));
|
|
uvs.push_back(interpolate(uv_rect, 0.5f * (tsc + Vector2(1.f, 1.f))));
|
|
}
|
|
|
|
// Make up triangles
|
|
int vi0 = vi;
|
|
for (int ti = 0; ti < steps; ++ti) {
|
|
indices.push_back(vi0);
|
|
indices.push_back(++vi);
|
|
indices.push_back(vi + 1);
|
|
}
|
|
}
|