| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | /* | ||
| 2 | * Authors: | ||
| 3 | * Thomas Holder | ||
| 4 | * Sergei Izmailov | ||
| 5 | * | ||
| 6 | * Copyright 2020 Authors | ||
| 7 | * | ||
| 8 | * SPDX-License-Identifier: LGPL-2.1 or MPL-1.1 | ||
| 9 | */ | ||
| 10 | |||
| 11 | #include <2geom/basic-intersection.h> | ||
| 12 | #include <2geom/parallelogram.h> | ||
| 13 | |||
| 14 | #include <cassert> | ||
| 15 | |||
| 16 | namespace Geom { | ||
| 17 | |||
| 18 | namespace { | ||
| 19 | /// Return true if `p` is inside a unit rectangle | ||
| 20 | 126 | inline bool unit_rect_contains(Point const &p) | |
| 21 | { | ||
| 22 |
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267 | return 0 <= p.x() && p.x() <= 1 && // |
| 23 |
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267 | 0 <= p.y() && p.y() <= 1; |
| 24 | } | ||
| 25 | |||
| 26 | /// N'th corner of a unit rectangle | ||
| 27 | 154 | inline Point unit_rect_corner(unsigned i) | |
| 28 | { | ||
| 29 |
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154 | assert(i < 4); |
| 30 | 154 | unsigned const y = i >> 1; | |
| 31 | 154 | unsigned const x = (i & 1) ^ y; | |
| 32 | 154 | return Point(x, y); | |
| 33 | } | ||
| 34 | } // namespace | ||
| 35 | |||
| 36 | 92 | Point Parallelogram::corner(unsigned i) const | |
| 37 | { | ||
| 38 |
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92 | assert(i < 4); |
| 39 |
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184 | return unit_rect_corner(i) * m_affine; |
| 40 | } | ||
| 41 | |||
| 42 | 1 | Rect Parallelogram::bounds() const | |
| 43 | { | ||
| 44 |
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1 | Rect rect(corner(0), corner(2)); |
| 45 |
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1 | rect.expandTo(corner(1)); |
| 46 |
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1 | rect.expandTo(corner(3)); |
| 47 | 1 | return rect; | |
| 48 | } | ||
| 49 | |||
| 50 | 17 | bool Parallelogram::intersects(Parallelogram const &other) const | |
| 51 | { | ||
| 52 |
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17 | if (m_affine.isSingular() || other.m_affine.isSingular()) { |
| 53 | ✗ | return false; | |
| 54 | } | ||
| 55 | |||
| 56 |
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17 | auto const affine1 = other.m_affine * m_affine.inverse(); |
| 57 |
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17 | auto const affine2 = affine1.inverse(); |
| 58 | |||
| 59 | // case 1: any corner inside the other rectangle | ||
| 60 |
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76 | for (unsigned i = 0; i != 4; ++i) { |
| 61 | 62 | auto const p = unit_rect_corner(i); | |
| 62 |
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183 | if (unit_rect_contains(p * affine1) || // |
| 63 |
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121 | unit_rect_contains(p * affine2)) { |
| 64 | 3 | return true; | |
| 65 | } | ||
| 66 | } | ||
| 67 | |||
| 68 | // case 2: any sides intersect (check diagonals) | ||
| 69 |
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20 | for (unsigned i = 0; i != 2; ++i) { |
| 70 |
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17 | auto const A = corner(i); |
| 71 |
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17 | auto const B = corner((i + 2) % 4); |
| 72 |
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33 | for (unsigned j = 0; j != 2; ++j) { |
| 73 |
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27 | auto const C = other.corner(j); |
| 74 |
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27 | auto const D = other.corner((j + 2) % 4); |
| 75 |
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27 | if (non_collinear_segments_intersect(A, B, C, D)) { |
| 76 | 11 | return true; | |
| 77 | } | ||
| 78 | } | ||
| 79 | } | ||
| 80 | |||
| 81 | 3 | return false; | |
| 82 | } | ||
| 83 | |||
| 84 | 5 | bool Parallelogram::contains(Point const &p) const | |
| 85 | { | ||
| 86 |
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10 | return !m_affine.isSingular() && // |
| 87 |
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15 | unit_rect_contains(p * m_affine.inverse()); |
| 88 | } | ||
| 89 | |||
| 90 | ✗ | bool Parallelogram::contains(Parallelogram const &other) const | |
| 91 | { | ||
| 92 | ✗ | if (m_affine.isSingular()) { | |
| 93 | ✗ | return false; | |
| 94 | } | ||
| 95 | |||
| 96 | ✗ | auto const inv = m_affine.inverse(); | |
| 97 | |||
| 98 | ✗ | for (unsigned i = 0; i != 4; ++i) { | |
| 99 | ✗ | if (!unit_rect_contains(other.corner(i) * inv)) { | |
| 100 | ✗ | return false; | |
| 101 | } | ||
| 102 | } | ||
| 103 | |||
| 104 | ✗ | return true; | |
| 105 | } | ||
| 106 | |||
| 107 | ✗ | Coord Parallelogram::minExtent() const | |
| 108 | { | ||
| 109 | ✗ | return std::min(m_affine.expansionX(), // | |
| 110 | ✗ | m_affine.expansionY()); | |
| 111 | } | ||
| 112 | |||
| 113 | ✗ | Coord Parallelogram::maxExtent() const | |
| 114 | { | ||
| 115 | ✗ | return std::max(m_affine.expansionX(), // | |
| 116 | ✗ | m_affine.expansionY()); | |
| 117 | } | ||
| 118 | |||
| 119 | 3 | bool Parallelogram::isSheared(Coord eps) const | |
| 120 | { | ||
| 121 |
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9 | return !are_near(dot(m_affine.xAxis(), m_affine.yAxis()), // |
| 122 | 12 | 0.0, eps); | |
| 123 | } | ||
| 124 | |||
| 125 | } // namespace Geom | ||
| 126 | |||
| 127 | /* | ||
| 128 | Local Variables: | ||
| 129 | mode:c++ | ||
| 130 | c-file-style:"stroustrup" | ||
| 131 | c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +)) | ||
| 132 | indent-tabs-mode:nil | ||
| 133 | fill-column:99 | ||
| 134 | End: | ||
| 135 | */ | ||
| 136 | // vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=8:softtabstop=4:fileencoding=utf-8:textwidth=99 : | ||
| 137 |