246 lines
6.7 KiB
C++
246 lines
6.7 KiB
C++
/*************************************************************************/
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/* rect2.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) 2007-2019 Juan Linietsky, Ariel Manzur. */
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/* Copyright (c) 2014-2019 Godot Engine contributors (cf. AUTHORS.md) */
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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 "core/math/transform_2d.h" // Includes rect2.h but Rect2 needs Transform2D
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bool Rect2::is_equal_approx(const Rect2 &p_rect) const {
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return position.is_equal_approx(p_rect.position) && size.is_equal_approx(p_rect.size);
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}
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bool Rect2::intersects_segment(const Point2 &p_from, const Point2 &p_to, Point2 *r_pos, Point2 *r_normal) const {
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real_t min = 0, max = 1;
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int axis = 0;
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real_t sign = 0;
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for (int i = 0; i < 2; i++) {
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real_t seg_from = p_from[i];
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real_t seg_to = p_to[i];
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real_t box_begin = position[i];
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real_t box_end = box_begin + size[i];
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real_t cmin, cmax;
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real_t csign;
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if (seg_from < seg_to) {
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if (seg_from > box_end || seg_to < box_begin)
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return false;
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real_t length = seg_to - seg_from;
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cmin = (seg_from < box_begin) ? ((box_begin - seg_from) / length) : 0;
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cmax = (seg_to > box_end) ? ((box_end - seg_from) / length) : 1;
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csign = -1.0;
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} else {
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if (seg_to > box_end || seg_from < box_begin)
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return false;
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real_t length = seg_to - seg_from;
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cmin = (seg_from > box_end) ? (box_end - seg_from) / length : 0;
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cmax = (seg_to < box_begin) ? (box_begin - seg_from) / length : 1;
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csign = 1.0;
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}
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if (cmin > min) {
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min = cmin;
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axis = i;
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sign = csign;
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}
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if (cmax < max)
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max = cmax;
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if (max < min)
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return false;
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}
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Vector2 rel = p_to - p_from;
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if (r_normal) {
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Vector2 normal;
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normal[axis] = sign;
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*r_normal = normal;
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}
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if (r_pos)
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*r_pos = p_from + rel * min;
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return true;
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}
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bool Rect2::intersects_transformed(const Transform2D &p_xform, const Rect2 &p_rect) const {
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//SAT intersection between local and transformed rect2
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Vector2 xf_points[4] = {
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p_xform.xform(p_rect.position),
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p_xform.xform(Vector2(p_rect.position.x + p_rect.size.x, p_rect.position.y)),
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p_xform.xform(Vector2(p_rect.position.x, p_rect.position.y + p_rect.size.y)),
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p_xform.xform(Vector2(p_rect.position.x + p_rect.size.x, p_rect.position.y + p_rect.size.y)),
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};
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real_t low_limit;
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//base rect2 first (faster)
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if (xf_points[0].y > position.y)
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goto next1;
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if (xf_points[1].y > position.y)
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goto next1;
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if (xf_points[2].y > position.y)
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goto next1;
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if (xf_points[3].y > position.y)
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goto next1;
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return false;
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next1:
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low_limit = position.y + size.y;
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if (xf_points[0].y < low_limit)
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goto next2;
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if (xf_points[1].y < low_limit)
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goto next2;
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if (xf_points[2].y < low_limit)
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goto next2;
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if (xf_points[3].y < low_limit)
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goto next2;
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return false;
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next2:
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if (xf_points[0].x > position.x)
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goto next3;
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if (xf_points[1].x > position.x)
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goto next3;
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if (xf_points[2].x > position.x)
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goto next3;
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if (xf_points[3].x > position.x)
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goto next3;
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return false;
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next3:
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low_limit = position.x + size.x;
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if (xf_points[0].x < low_limit)
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goto next4;
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if (xf_points[1].x < low_limit)
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goto next4;
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if (xf_points[2].x < low_limit)
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goto next4;
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if (xf_points[3].x < low_limit)
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goto next4;
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return false;
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next4:
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Vector2 xf_points2[4] = {
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position,
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Vector2(position.x + size.x, position.y),
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Vector2(position.x, position.y + size.y),
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Vector2(position.x + size.x, position.y + size.y),
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};
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real_t maxa = p_xform.elements[0].dot(xf_points2[0]);
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real_t mina = maxa;
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real_t dp = p_xform.elements[0].dot(xf_points2[1]);
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maxa = MAX(dp, maxa);
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mina = MIN(dp, mina);
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dp = p_xform.elements[0].dot(xf_points2[2]);
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maxa = MAX(dp, maxa);
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mina = MIN(dp, mina);
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dp = p_xform.elements[0].dot(xf_points2[3]);
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maxa = MAX(dp, maxa);
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mina = MIN(dp, mina);
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real_t maxb = p_xform.elements[0].dot(xf_points[0]);
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real_t minb = maxb;
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dp = p_xform.elements[0].dot(xf_points[1]);
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maxb = MAX(dp, maxb);
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minb = MIN(dp, minb);
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dp = p_xform.elements[0].dot(xf_points[2]);
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maxb = MAX(dp, maxb);
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minb = MIN(dp, minb);
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dp = p_xform.elements[0].dot(xf_points[3]);
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maxb = MAX(dp, maxb);
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minb = MIN(dp, minb);
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if (mina > maxb)
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return false;
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if (minb > maxa)
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return false;
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maxa = p_xform.elements[1].dot(xf_points2[0]);
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mina = maxa;
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dp = p_xform.elements[1].dot(xf_points2[1]);
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maxa = MAX(dp, maxa);
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mina = MIN(dp, mina);
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dp = p_xform.elements[1].dot(xf_points2[2]);
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maxa = MAX(dp, maxa);
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mina = MIN(dp, mina);
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dp = p_xform.elements[1].dot(xf_points2[3]);
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maxa = MAX(dp, maxa);
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mina = MIN(dp, mina);
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maxb = p_xform.elements[1].dot(xf_points[0]);
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minb = maxb;
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dp = p_xform.elements[1].dot(xf_points[1]);
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maxb = MAX(dp, maxb);
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minb = MIN(dp, minb);
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dp = p_xform.elements[1].dot(xf_points[2]);
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maxb = MAX(dp, maxb);
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minb = MIN(dp, minb);
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dp = p_xform.elements[1].dot(xf_points[3]);
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maxb = MAX(dp, maxb);
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minb = MIN(dp, minb);
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if (mina > maxb)
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return false;
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if (minb > maxa)
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return false;
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return true;
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}
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