Mercurial > hgrepos > Python2 > PyMuPDF

annotate mupdf-source/thirdparty/zxing-cpp/core/src/Quadrilateral.h @ 33:c4daa0c83d64

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author Franz Glasner <fzglas.hg@dom66.de>
date Sun, 21 Sep 2025 17:55:13 +0200
parents b50eed0cc0ef
children
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1 /*
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2 * Copyright 2020 Axel Waggershauser
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3 */
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4 // SPDX-License-Identifier: Apache-2.0
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6 #pragma once
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8 #include "Point.h"
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9 #include "ZXAlgorithms.h"
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11 #include <array>
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12 #include <cmath>
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13 #include <string>
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15 namespace ZXing {
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17 template <typename T>
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18 class Quadrilateral : public std::array<T, 4>
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19 {
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20 using Base = std::array<T, 4>;
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21 using Base::at;
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22 public:
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23 using Point = T;
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25 Quadrilateral() = default;
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26 Quadrilateral(T tl, T tr, T br, T bl) : Base{tl, tr, br, bl} {}
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27 template <typename U>
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28 Quadrilateral(PointT<U> tl, PointT<U> tr, PointT<U> br, PointT<U> bl)
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29 : Quadrilateral(Point(tl), Point(tr), Point(br), Point(bl))
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30 {}
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32 constexpr Point topLeft() const noexcept { return at(0); }
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33 constexpr Point topRight() const noexcept { return at(1); }
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34 constexpr Point bottomRight() const noexcept { return at(2); }
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35 constexpr Point bottomLeft() const noexcept { return at(3); }
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37 double orientation() const
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38 {
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39 auto centerLine = (topRight() + bottomRight()) - (topLeft() + bottomLeft());
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40 if (centerLine == Point{})
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41 return 0.;
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42 auto centerLineF = normalized(centerLine);
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43 return std::atan2(centerLineF.y, centerLineF.x);
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44 }
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45 };
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47 using QuadrilateralF = Quadrilateral<PointF>;
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48 using QuadrilateralI = Quadrilateral<PointI>;
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50 template <typename PointT = PointF>
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51 Quadrilateral<PointT> Rectangle(int width, int height, typename PointT::value_t margin = 0)
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52 {
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53 return {
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54 PointT{margin, margin}, {width - margin, margin}, {width - margin, height - margin}, {margin, height - margin}};
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55 }
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57 template <typename PointT = PointF>
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58 Quadrilateral<PointT> CenteredSquare(int size)
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59 {
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60 return Scale(Quadrilateral(PointT{-1, -1}, {1, -1}, {1, 1}, {-1, 1}), size / 2);
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61 }
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63 template <typename PointT = PointI>
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64 Quadrilateral<PointT> Line(int y, int xStart, int xStop)
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65 {
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66 return {PointT{xStart, y}, {xStop, y}, {xStop, y}, {xStart, y}};
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67 }
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69 template <typename PointT>
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70 bool IsConvex(const Quadrilateral<PointT>& poly)
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71 {
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72 const int N = Size(poly);
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73 bool sign = false;
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75 typename PointT::value_t m = INFINITY, M = 0;
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77 for(int i = 0; i < N; i++)
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78 {
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79 auto d1 = poly[(i + 2) % N] - poly[(i + 1) % N];
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80 auto d2 = poly[i] - poly[(i + 1) % N];
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81 auto cp = cross(d1, d2);
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82
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83 // TODO: see if the isInside check for all boundary points in GridSampler is still required after fixing the wrong fabs()
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84 // application in the following line
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85 UpdateMinMax(m, M, std::fabs(cp));
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87 if (i == 0)
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88 sign = cp > 0;
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89 else if (sign != (cp > 0))
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90 return false;
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91 }
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93 // It turns out being convex is not enough to prevent a "numerical instability"
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94 // that can cause the corners being projected inside the image boundaries but
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95 // some points near the corners being projected outside. This has been observed
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96 // where one corner is almost in line with two others. The M/m ratio is below 2
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97 // for the complete existing sample set. For very "skewed" QRCodes a value of
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98 // around 3 is realistic. A value of 14 has been observed to trigger the
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99 // instability.
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100 return M / m < 4.0;
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101 }
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102
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103 template <typename PointT>
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104 Quadrilateral<PointT> Scale(const Quadrilateral<PointT>& q, int factor)
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105 {
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106 return {factor * q[0], factor * q[1], factor * q[2], factor * q[3]};
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107 }
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108
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109 template <typename PointT>
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110 PointT Center(const Quadrilateral<PointT>& q)
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111 {
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112 return Reduce(q) / Size(q);
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113 }
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114
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115 template <typename PointT>
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116 Quadrilateral<PointT> RotatedCorners(const Quadrilateral<PointT>& q, int n = 1, bool mirror = false)
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117 {
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118 Quadrilateral<PointT> res;
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119 std::rotate_copy(q.begin(), q.begin() + ((n + 4) % 4), q.end(), res.begin());
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120 if (mirror)
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121 std::swap(res[1], res[3]);
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122 return res;
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123 }
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124
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125 template <typename PointT>
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126 bool IsInside(const PointT& p, const Quadrilateral<PointT>& q)
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127 {
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128 // Test if p is on the same side (right or left) of all polygon segments
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129 int pos = 0, neg = 0;
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130 for (int i = 0; i < Size(q); ++i)
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131 (cross(p - q[i], q[(i + 1) % Size(q)] - q[i]) < 0 ? neg : pos)++;
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132 return pos == 0 || neg == 0;
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133 }
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134
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135 template <typename PointT>
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136 Quadrilateral<PointT> BoundingBox(const Quadrilateral<PointT>& q)
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137 {
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138 auto [minX, maxX] = std::minmax({q[0].x, q[1].x, q[2].x, q[3].x});
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139 auto [minY, maxY] = std::minmax({q[0].y, q[1].y, q[2].y, q[3].y});
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140 return {PointT{minX, minY}, {maxX, minY}, {maxX, maxY}, {minX, maxY}};
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141 }
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142
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143 template <typename PointT>
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144 bool HaveIntersectingBoundingBoxes(const Quadrilateral<PointT>& a, const Quadrilateral<PointT>& b)
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145 {
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146 auto bba = BoundingBox(a), bbb = BoundingBox(b);
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147
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148 bool x = bbb.topRight().x < bba.topLeft().x || bbb.topLeft().x > bba.topRight().x;
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149 bool y = bbb.bottomLeft().y < bba.topLeft().y || bbb.topLeft().y > bba.bottomLeft().y;
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150 return !(x || y);
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151 }
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152
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153 template <typename PointT>
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154 Quadrilateral<PointT> Blend(const Quadrilateral<PointT>& a, const Quadrilateral<PointT>& b)
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155 {
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156 auto dist2First = [r = a[0]](auto s, auto t) { return distance(s, r) < distance(t, r); };
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157 // rotate points such that the the two topLeft points are closest to each other
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158 auto offset = std::min_element(b.begin(), b.end(), dist2First) - b.begin();
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159
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160 Quadrilateral<PointT> res;
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161 for (int i = 0; i < 4; ++i)
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162 res[i] = (a[i] + b[(i + offset) % 4]) / 2;
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163
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164 return res;
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165 }
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166
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167 template <typename T>
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168 std::string ToString(const Quadrilateral<PointT<T>>& points)
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169 {
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170 std::string res;
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171 for (const auto& p : points)
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172 res += std::to_string(p.x) + "x" + std::to_string(p.y) + (&p == &points.back() ? "" : " ");
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173 return res;
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174 }
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175
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176 } // ZXing
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177