1 | // This file is a part of Framsticks SDK. http://www.framsticks.com/ |
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2 | // Copyright (C) 1999-2019 Maciej Komosinski and Szymon Ulatowski. |
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3 | // See LICENSE.txt for details. |
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4 | |
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5 | #ifndef _2D_H_ |
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6 | #define _2D_H_ |
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7 | |
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8 | #include "nonstd_stl.h" |
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9 | #include <math.h> |
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10 | |
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11 | //unification of old GUIXY and Pt2D |
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12 | template <typename T> class XY |
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13 | { |
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14 | public: |
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15 | T x, y; |
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16 | XY() {} |
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17 | XY(T _x, T _y) :x(_x), y(_y) {} |
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18 | template <typename Q> XY(const Q& other) : x(other.x), y(other.y) {} |
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19 | template <typename Q> const XY& operator=(const Q& other) { x = other.x; y = other.y; return *this; } |
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20 | template <typename Q> const XY operator()(const Q& other) { return XY(other.x, other.y); } |
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21 | XY operator+(const XY&p) const { return XY(x + p.x, y + p.y); } |
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22 | XY operator-(const XY&p) const { return XY(x - p.x, y - p.y); } |
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23 | XY operator+=(const XY&p) { x += p.x; y += p.y; return *this; } |
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24 | XY operator-=(const XY&p) { x -= p.x; y -= p.y; return *this; } |
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25 | XY operator-() const { return XY(-x, -y); } |
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26 | // allows float operations on ints |
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27 | template <typename Q> XY operator*=(Q q) { x *= q; y *= q; return *this; } |
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28 | template <typename Q> XY operator/=(Q q) { x /= q; y /= q; return *this; } |
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29 | template <typename Q> XY operator/(Q q) const { return XY(x / q, y / q); } |
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30 | template <typename Q> XY operator*(Q q) const { return XY(q*x, q*y); } |
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31 | XY operator*=(const XY& q) { x *= q.x; y *= q.y; return *this; } |
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32 | XY operator/=(const XY& q) { x /= q.x; y /= q.y; return *this; } |
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33 | XY operator*(const XY& q) const { return XY(x*q.x, y*q.y); } |
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34 | XY operator/(const XY& q) const { return XY(x/q.x, y/q.y); } |
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35 | void set(T _x, T _y) { x = _x; y = _y; } |
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36 | void add(T _x, T _y) { x += _x; y += _y; } |
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37 | void sub(T _x, T _y) { x -= _x; y -= _y; } |
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38 | bool operator==(const XY& p) const { return (fabs(double(x - p.x)) < 1e-20) && (fabs(double(y - p.y)) < 1e-20); } |
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39 | bool operator!=(const XY& p) const { return !operator==(p); } |
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40 | T distanceTo(const XY& p) const { return sqrt(double((p.x - x)*(p.x - x) + (p.y - y)*(p.y - y))); } |
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41 | T magnitude() const { return sqrt(x*x + y * y); } |
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42 | T length() const { return sqrt(x*x + y * y); } |
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43 | T lengthSq() const { return x * x + y * y; } |
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44 | T dotProduct(const XY& v) const { return x * v.x + y * v.y; } |
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45 | T crossProduct(const XY& v) const { return x * v.y - y * v.x; } |
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46 | void normalize() { operator/=(length()); } // length becomes 1 |
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47 | static XY average(const XY& v1, const XY& v2) { return XY((v1.x + v2.x)*0.5, (v1.y + v2.y)*0.5); } |
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48 | double getDirection() const { return atan2(y, x); } |
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49 | static XY interpolate(const XY& v1, const XY& v2, double t) { return universal_lerp(v1,v2,t); } |
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50 | XY toInt() const { return XY(int(x), int(y)); } |
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51 | XY transpose() const { return XY(y, x); } |
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52 | static const XY& zero() { static XY t(0, 0); return t; } |
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53 | static const XY& one() { static XY t(1, 1); return t; } |
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54 | }; |
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55 | |
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56 | //specialized: int equality not using fabs() |
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57 | template<> inline bool XY<int>::operator==(const XY<int>& p) const { return (x == p.x) && (y == p.y); } |
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58 | |
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59 | template <typename T> XY<T> xymin(const XY<T>& a, const XY<T>& b) { return XY<T>(min(a.x, b.x), min(a.y, b.y)); } |
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60 | template <typename T> XY<T> xymax(const XY<T>& a, const XY<T>& b) { return XY<T>(max(a.x, b.x), max(a.y, b.y)); } |
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61 | |
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62 | template <typename T> |
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63 | class XYMargin |
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64 | { |
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65 | public: |
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66 | XYMargin(T x = 0) :left(x), top(x), right(x), bottom(x) {} |
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67 | XYMargin(T l, T t, T r, T b) :left(l), top(t), right(r), bottom(b) {} |
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68 | T left, top, right, bottom; |
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69 | void operator=(T x) { left = top = right = bottom = x; } |
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70 | XYMargin operator-() const { return XYMargin(-left, -top, -right, -bottom); } |
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71 | void operator=(const XYMargin<T> &other) { left = other.left; top = other.top; right = other.right; bottom = other.bottom; } |
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72 | T horizontal() const { return left + right; } |
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73 | T vertical() const { return top + bottom; } |
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74 | bool operator==(const XYMargin &other) const { return left == other.left && top == other.top && right == other.right && bottom == other.bottom; } |
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75 | XYMargin normalized() const { return XYMargin(max(left, T(0)), max(top, T(0)), max(right, T(0)), max(bottom, T(0))); } |
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76 | }; |
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77 | |
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78 | template <typename T> |
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79 | class XYRect |
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80 | { |
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81 | public: |
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82 | XY<T> p, size; |
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83 | XYRect() {} |
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84 | XYRect(const XY<T>& p1, const XY<T>& s) :p(p1), size(s) {} |
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85 | template <typename Q> XYRect(const Q& other) : p(other.p), size(other.size) {} |
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86 | XYRect(T _x, T _y, T _w, T _h) :p(_x, _y), size(_w, _h) {} |
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87 | static XYRect<T> centeredAt(const XY<T>& p, XY<T> s) { return XYRect<T>(p - s * 0.5, s); } |
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88 | |
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89 | bool isEmpty() const { return (size.x < 0) || (size.y < 0); } |
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90 | XYRect toInt() const { return XYRect(int(p.x), int(p.y), int(p.x + size.x) - int(p.x), int(p.y + size.y) - int(p.y)); } |
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91 | bool operator==(const XYRect& r) const { return (p == r.p) && (size == r.size); } |
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92 | template <typename Q> const XYRect& operator=(const Q& other) { p = other.p; size = other.size; return *this; } |
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93 | |
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94 | T right() const { return p.x + size.x; } |
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95 | T bottom() const { return p.y + size.y; } |
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96 | T top() const { return p.y; } |
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97 | T left() const { return p.x; } |
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98 | XY<T> center() const { return p + size / 2; } |
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99 | const XY<T>& topLeft() const { return p; } |
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100 | XY<T> bottomRight() const { return p + size; } |
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101 | XY<T> topRight() const { return XY<T>(p.x + size.x, p.y); } |
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102 | XY<T> bottomLeft() const { return XY<T>(p.x, p.y + size.y); } |
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103 | |
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104 | T area() const { return size.x*size.y; } |
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105 | |
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106 | bool intersects(const XYRect& r) const |
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107 | { |
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108 | if (r.p.x >= (p.x + size.x)) return false; |
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109 | if (r.p.y >= (p.y + size.y)) return false; |
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110 | if ((r.p.x + r.size.x) <= p.x) return false; |
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111 | if ((r.p.y + r.size.y) <= p.y) return false; |
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112 | return true; |
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113 | } |
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114 | |
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115 | bool contains(const XY<T>& n) const |
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116 | { |
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117 | if (n.x < p.x) return false; |
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118 | if (n.x > (p.x + size.x)) return false; |
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119 | if (n.y < p.y) return false; |
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120 | if (n.y > (p.y + size.y)) return false; |
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121 | return true; |
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122 | } |
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123 | |
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124 | bool contains(const XYRect& r) const |
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125 | { |
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126 | return contains(r.p) && contains(r.p + r.size); |
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127 | } |
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128 | |
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129 | void add(const XY<T>& n) |
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130 | { |
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131 | if (n.x < p.x) { size.x += p.x - n.x; p.x = n.x; } |
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132 | else if (n.x > (p.x + size.x)) size.x = n.x - p.x; |
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133 | if (n.y < p.y) { size.y += p.y - n.y; p.y = n.y; } |
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134 | else if (n.y > (p.y + size.y)) size.y = n.y - p.y; |
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135 | } |
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136 | |
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137 | XYRect extendBy(const XY<T>& border_size) const |
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138 | { |
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139 | return XYRect(p - border_size, size + border_size * 2); |
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140 | } |
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141 | |
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142 | XYRect shrinkBy(const XY<T>& border_size) const |
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143 | { |
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144 | return XYRect(p + border_size, size - border_size * 2); |
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145 | } |
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146 | |
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147 | XYRect extendBy(const XYMargin<T>& m) const |
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148 | { |
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149 | return XYRect(p.x - m.left, p.y - m.top, size.x + m.horizontal(), size.y + m.vertical()); |
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150 | } |
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151 | |
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152 | XYRect shrinkBy(const XYMargin<T>& m) const |
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153 | { |
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154 | return XYRect(p.x + m.left, p.y + m.top, size.x - m.horizontal(), size.y - m.vertical()); |
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155 | } |
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156 | |
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157 | XYMargin<T> marginTowards(const XYRect &r) const |
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158 | { |
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159 | return XYMargin<T>(r.p.x - p.x, r.p.y - p.y, |
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160 | (p.x + size.x) - (r.p.x + r.size.x), (p.y + size.y) - (r.p.y + r.size.y)); |
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161 | } |
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162 | |
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163 | XYRect fitAspect(float aspect) ///< place a new rectangle having 'aspect' inside the rectangle |
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164 | { |
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165 | XYRect r; |
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166 | r.size=size; |
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167 | if (size.x < size.y*aspect) |
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168 | r.size.y = r.size.x/aspect; |
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169 | else |
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170 | r.size.x = r.size.y*aspect; |
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171 | r.p=p+(size-r.size)*0.5; |
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172 | return r; |
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173 | } |
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174 | |
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175 | XYRect intersection(const XYRect& r) const |
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176 | { |
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177 | XYRect i; |
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178 | XY<T> p2 = p + size; |
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179 | XY<T> rp2 = r.p + r.size; |
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180 | i.p.x = max(p.x, r.p.x); |
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181 | i.p.y = max(p.y, r.p.y); |
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182 | i.size.x = min(p2.x, rp2.x) - i.p.x; |
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183 | i.size.y = min(p2.y, rp2.y) - i.p.y; |
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184 | return i; |
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185 | } |
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186 | |
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187 | XYRect extensionContaining(const XYRect& r) const |
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188 | { |
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189 | XY<T> p1 = xymin(topLeft(), r.topLeft()); |
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190 | XY<T> p2 = xymax(bottomRight(), r.bottomRight()); |
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191 | return XYRect(p1, p2 - p1); |
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192 | } |
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193 | |
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194 | XYRect translation(const XY<T>& t) const |
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195 | { |
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196 | return XYRect(p + t, size); |
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197 | } |
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198 | |
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199 | T distanceTo(const XY<T>& n) const |
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200 | { |
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201 | XY<T> tp = n; |
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202 | if (n.x < p.x) tp.x = p.x; else if (n.x >= (p.x + size.x)) tp.x = p.x + size.x; |
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203 | if (n.y < p.y) tp.y = p.y; else if (n.y >= (p.y + size.y)) tp.y = p.y + size.y; |
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204 | return tp.distanceTo(n); |
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205 | } |
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206 | |
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207 | T distanceTo(const XYRect<T>& r) const |
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208 | { |
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209 | bool r_above = (r.bottom() <= top()); |
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210 | bool r_below = (r.top() >= bottom()); |
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211 | bool r_left = (r.right() <= left()); |
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212 | bool r_right = (r.left() >= right()); |
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213 | |
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214 | if (r_above) |
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215 | { |
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216 | if (r_left) return r.bottomRight().distanceTo(topLeft()); |
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217 | else if (r_right) return r.bottomLeft().distanceTo(topRight()); |
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218 | else return top() - r.bottom(); |
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219 | } |
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220 | else if (r_below) |
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221 | { |
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222 | if (r_left) return r.topRight().distanceTo(bottomLeft()); |
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223 | else if (r_right) return r.topLeft().distanceTo(bottomRight()); |
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224 | else return r.top() - bottom(); |
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225 | } |
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226 | else if (r_left) |
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227 | { |
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228 | return left() - r.right(); |
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229 | } |
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230 | else if (r_right) |
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231 | { |
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232 | return r.left() - right(); |
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233 | } |
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234 | else |
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235 | return 0; //intersection |
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236 | } |
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237 | |
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238 | static const XYRect& zero() { static XYRect t(0, 0, 0, 0); return t; } |
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239 | static const XYRect& one() { static XYRect t(0, 0, 1, 1); return t; } |
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240 | }; |
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241 | |
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242 | typedef XY<int> IntXY; |
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243 | typedef XYRect<int> IntRect; |
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244 | |
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245 | typedef XY<float> FloatXY; |
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246 | typedef XYRect<float> FloatRect; |
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247 | |
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248 | #endif |
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