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1 /**************************************************************************** |
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2 ** |
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3 ** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies). |
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4 ** All rights reserved. |
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5 ** Contact: Nokia Corporation (qt-info@nokia.com) |
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6 ** |
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7 ** This file is part of the QtCore module of the Qt Toolkit. |
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8 ** |
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9 ** $QT_BEGIN_LICENSE:LGPL$ |
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10 ** No Commercial Usage |
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11 ** This file contains pre-release code and may not be distributed. |
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12 ** You may use this file in accordance with the terms and conditions |
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13 ** contained in the Technology Preview License Agreement accompanying |
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14 ** this package. |
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15 ** |
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16 ** GNU Lesser General Public License Usage |
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17 ** Alternatively, this file may be used under the terms of the GNU Lesser |
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18 ** General Public License version 2.1 as published by the Free Software |
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19 ** Foundation and appearing in the file LICENSE.LGPL included in the |
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20 ** packaging of this file. Please review the following information to |
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21 ** ensure the GNU Lesser General Public License version 2.1 requirements |
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22 ** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html. |
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23 ** |
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24 ** In addition, as a special exception, Nokia gives you certain additional |
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25 ** rights. These rights are described in the Nokia Qt LGPL Exception |
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26 ** version 1.1, included in the file LGPL_EXCEPTION.txt in this package. |
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27 ** |
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28 ** If you have questions regarding the use of this file, please contact |
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29 ** Nokia at qt-info@nokia.com. |
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30 ** |
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31 ** |
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32 ** |
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33 ** |
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34 ** |
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35 ** |
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36 ** |
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37 ** |
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38 ** $QT_END_LICENSE$ |
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39 ** |
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40 ****************************************************************************/ |
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41 |
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42 #include "qline.h" |
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43 #include "qdebug.h" |
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44 #include "qdatastream.h" |
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45 #include "qmath.h" |
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46 #include <private/qnumeric_p.h> |
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47 |
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48 QT_BEGIN_NAMESPACE |
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49 |
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50 /*! |
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51 \class QLine |
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52 \ingroup painting |
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53 |
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54 \brief The QLine class provides a two-dimensional vector using |
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55 integer precision. |
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56 |
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57 A QLine describes a finite length line (or a line segment) on a |
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58 two-dimensional surface. The start and end points of the line are |
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59 specified using integer point accuracy for coordinates. Use the |
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60 QLineF constructor to retrieve a floating point copy. |
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61 |
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62 \table |
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63 \row |
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64 \o \inlineimage qline-point.png |
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65 \o \inlineimage qline-coordinates.png |
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66 \endtable |
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67 |
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68 The positions of the line's start and end points can be retrieved |
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69 using the p1(), x1(), y1(), p2(), x2(), and y2() functions. The |
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70 dx() and dy() functions return the horizontal and vertical |
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71 components of the line. Use isNull() to determine whether the |
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72 QLine represents a valid line or a null line. |
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73 |
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74 Finally, the line can be translated a given offset using the |
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75 translate() function. |
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76 |
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77 \sa QLineF, QPolygon, QRect |
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78 */ |
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79 |
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80 /*! |
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81 \fn QLine::QLine() |
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82 |
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83 Constructs a null line. |
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84 */ |
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85 |
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86 /*! |
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87 \fn QLine::QLine(const QPoint &p1, const QPoint &p2) |
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88 |
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89 Constructs a line object that represents the line between \a p1 and |
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90 \a p2. |
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91 */ |
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92 |
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93 /*! |
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94 \fn QLine::QLine(int x1, int y1, int x2, int y2) |
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95 |
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96 Constructs a line object that represents the line between (\a x1, \a y1) and |
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97 (\a x2, \a y2). |
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98 */ |
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99 |
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100 /*! |
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101 \fn bool QLine::isNull() const |
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102 |
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103 Returns true if the line is not set up with valid start and end point; |
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104 otherwise returns false. |
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105 */ |
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106 |
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107 /*! |
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108 \fn QPoint QLine::p1() const |
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109 |
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110 Returns the line's start point. |
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111 |
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112 \sa x1(), y1(), p2() |
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113 */ |
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114 |
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115 /*! |
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116 \fn QPoint QLine::p2() const |
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117 |
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118 Returns the line's end point. |
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119 |
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120 \sa x2(), y2(), p1() |
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121 */ |
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122 |
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123 /*! |
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124 \fn int QLine::x1() const |
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125 |
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126 Returns the x-coordinate of the line's start point. |
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127 |
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128 \sa p1() |
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129 */ |
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130 |
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131 /*! |
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132 \fn int QLine::y1() const |
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133 |
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134 Returns the y-coordinate of the line's start point. |
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135 |
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136 \sa p1() |
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137 */ |
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138 |
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139 /*! |
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140 \fn int QLine::x2() const |
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141 |
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142 Returns the x-coordinate of the line's end point. |
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143 |
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144 \sa p2() |
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145 */ |
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146 |
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147 /*! |
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148 \fn int QLine::y2() const |
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149 |
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150 Returns the y-coordinate of the line's end point. |
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151 |
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152 \sa p2() |
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153 */ |
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154 |
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155 /*! |
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156 \fn int QLine::dx() const |
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157 |
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158 Returns the horizontal component of the line's vector. |
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159 |
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160 \sa dy() |
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161 */ |
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162 |
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163 /*! |
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164 \fn int QLine::dy() const |
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165 |
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166 Returns the vertical component of the line's vector. |
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167 |
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168 \sa dx() |
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169 */ |
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170 |
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171 /*! |
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172 \fn bool QLine::operator!=(const QLine &line) const |
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173 |
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174 Returns true if the given \a line is not the same as \e this line. |
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175 |
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176 A line is different from another line if any of their start or |
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177 end points differ, or the internal order of the points is different. |
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178 */ |
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179 |
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180 /*! |
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181 \fn bool QLine::operator==(const QLine &line) const |
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182 |
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183 Returns true if the given \a line is the same as \e this line. |
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184 |
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185 A line is identical to another line if the start and end points |
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186 are identical, and the internal order of the points is the same. |
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187 */ |
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188 |
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189 /*! |
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190 \fn void QLine::translate(const QPoint &offset) |
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191 |
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192 Translates this line by the given \a offset. |
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193 */ |
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194 |
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195 /*! |
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196 \fn void QLine::translate(int dx, int dy) |
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197 \overload |
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198 |
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199 Translates this line the distance specified by \a dx and \a dy. |
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200 */ |
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201 |
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202 /*! |
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203 \fn QLine QLine::translated(const QPoint &offset) const |
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204 |
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205 \since 4.4 |
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206 |
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207 Returns this line translated by the given \a offset. |
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208 */ |
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209 |
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210 /*! |
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211 \fn QLine QLine::translated(int dx, int dy) const |
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212 \overload |
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213 \since 4.4 |
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214 |
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215 Returns this line translated the distance specified by \a dx and \a dy. |
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216 */ |
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217 |
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218 |
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219 /*! |
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220 \fn void QLine::setP1(const QPoint &p1) |
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221 \since 4.4 |
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222 |
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223 Sets the starting point of this line to \a p1. |
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224 |
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225 \sa setP2(), p1() |
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226 */ |
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227 |
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228 |
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229 /*! |
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230 \fn void QLine::setP2(const QPoint &p2) |
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231 \since 4.4 |
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232 |
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233 Sets the end point of this line to \a p2. |
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234 |
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235 \sa setP1(), p2() |
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236 */ |
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237 |
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238 |
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239 /*! |
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240 \fn void QLine::setPoints(const QPoint &p1, const QPoint &p2) |
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241 \since 4.4 |
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242 |
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243 Sets the start point of this line to \a p1 and the end point of this line to \a p2. |
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244 |
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245 \sa setP1(), setP2(), p1(), p2() |
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246 */ |
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247 |
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248 |
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249 /*! |
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250 \fn void QLine::setLine(int x1, int y1, int x2, int y2) |
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251 \since 4.4 |
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252 |
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253 Sets this line to the start in \a x1, \a y1 and end in \a x2, \a y2. |
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254 |
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255 \sa setP1(), setP2(), p1(), p2() |
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256 */ |
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257 |
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258 |
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259 |
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260 #ifndef QT_NO_DEBUG_STREAM |
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261 QDebug operator<<(QDebug d, const QLine &p) |
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262 { |
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263 d << "QLine(" << p.p1() << ',' << p.p2() << ')'; |
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264 return d; |
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265 } |
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266 #endif |
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267 |
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268 #ifndef QT_NO_DATASTREAM |
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269 /*! |
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270 \relates QLine |
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271 |
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272 Writes the given \a line to the given \a stream and returns a |
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273 reference to the stream. |
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274 |
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275 \sa {Format of the QDataStream Operators} |
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276 */ |
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277 |
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278 QDataStream &operator<<(QDataStream &stream, const QLine &line) |
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279 { |
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280 stream << line.p1() << line.p2(); |
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281 return stream; |
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282 } |
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283 |
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284 /*! |
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285 \relates QLine |
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286 |
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287 Reads a line from the given \a stream into the given \a line and |
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288 returns a reference to the stream. |
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289 |
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290 \sa {Format of the QDataStream Operators} |
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291 */ |
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292 |
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293 QDataStream &operator>>(QDataStream &stream, QLine &line) |
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294 { |
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295 QPoint p1, p2; |
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296 stream >> p1; |
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297 stream >> p2; |
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298 line = QLine(p1, p2); |
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299 |
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300 return stream; |
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301 } |
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302 |
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303 #endif // QT_NO_DATASTREAM |
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304 |
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305 |
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306 #ifndef M_2PI |
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307 #define M_2PI 6.28318530717958647692528676655900576 |
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308 #endif |
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309 |
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310 /*! |
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311 \class QLineF |
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312 \ingroup painting |
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313 |
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314 \brief The QLineF class provides a two-dimensional vector using |
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315 floating point precision. |
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316 |
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317 A QLineF describes a finite length line (or line segment) on a |
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318 two-dimensional surface. QLineF defines the start and end points |
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319 of the line using floating point accuracy for coordinates. Use |
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320 the toLine() function to retrieve an integer based copy of this |
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321 line. |
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322 |
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323 \table |
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324 \row |
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325 \o \inlineimage qline-point.png |
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326 \o \inlineimage qline-coordinates.png |
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327 \endtable |
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328 |
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329 The positions of the line's start and end points can be retrieved |
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330 using the p1(), x1(), y1(), p2(), x2(), and y2() functions. The |
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331 dx() and dy() functions return the horizontal and vertical |
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332 components of the line, respectively. |
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333 |
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334 The line's length can be retrieved using the length() function, |
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335 and altered using the setLength() function. Similarly, angle() |
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336 and setAngle() are respectively used for retrieving and altering |
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337 the angle of the line. Use the isNull() |
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338 function to determine whether the QLineF represents a valid line |
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339 or a null line. |
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340 |
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341 The intersect() function determines the IntersectType for this |
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342 line and a given line, while the angle() function returns the |
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343 angle between the lines. In addition, the unitVector() function |
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344 returns a line that has the same starting point as this line, but |
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345 with a length of only 1, while the normalVector() function returns |
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346 a line that is perpendicular to this line with the same starting |
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347 point and length. |
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348 |
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349 Finally, the line can be translated a given offset using the |
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350 translate() function, and can be traversed using the pointAt() |
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351 function. |
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352 |
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353 \sa QLine, QPolygonF, QRectF |
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354 */ |
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355 |
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356 /*! |
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357 \enum QLineF::IntersectType |
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358 |
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359 Describes the intersection between two lines. |
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360 |
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361 \table |
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362 \row |
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363 \o \inlineimage qlinef-unbounded.png |
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364 \o \inlineimage qlinef-bounded.png |
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365 \row |
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366 \o QLineF::UnboundedIntersection |
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367 \o QLineF::BoundedIntersection |
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368 \endtable |
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369 |
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370 \value NoIntersection Indicates that the lines do not intersect; |
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371 i.e. they are parallel. |
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372 |
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373 \value UnboundedIntersection The two lines intersect, but not |
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374 within the range defined by their lengths. This will be the case |
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375 if the lines are not parallel. |
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376 |
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377 intersect() will also return this value if the intersect point is |
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378 within the start and end point of only one of the lines. |
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379 |
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380 \value BoundedIntersection The two lines intersect with each other |
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381 within the start and end points of each line. |
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382 |
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383 \sa intersect() |
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384 */ |
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385 |
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386 /*! |
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387 \fn QLineF::QLineF() |
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388 |
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389 Constructs a null line. |
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390 */ |
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391 |
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392 /*! |
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393 \fn QLineF::QLineF(const QPointF &p1, const QPointF &p2) |
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394 |
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395 Constructs a line object that represents the line between \a p1 and |
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396 \a p2. |
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397 */ |
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398 |
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399 /*! |
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400 \fn QLineF::QLineF(qreal x1, qreal y1, qreal x2, qreal y2) |
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401 |
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402 Constructs a line object that represents the line between (\a x1, \a y1) and |
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403 (\a x2, \a y2). |
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404 */ |
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405 |
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406 /*! |
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407 \fn QLineF::QLineF(const QLine &line) |
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408 |
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409 Construct a QLineF object from the given integer-based \a line. |
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410 |
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411 \sa toLine() |
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412 */ |
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413 |
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414 /*! |
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415 Returns true if the line is not set up with valid start and end point; |
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416 otherwise returns false. |
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417 */ |
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418 |
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419 bool QLineF::isNull() const |
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420 { |
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421 return (qFuzzyCompare(pt1.x(), pt2.x()) && qFuzzyCompare(pt1.y(), pt2.y())) ? true : false; |
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422 } |
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423 |
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424 |
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425 /*! |
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426 \fn QPointF QLineF::p1() const |
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427 |
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428 Returns the line's start point. |
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429 |
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430 \sa x1(), y1(), p2() |
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431 */ |
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432 |
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433 /*! |
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434 \fn QPointF QLineF::p2() const |
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435 |
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436 Returns the line's end point. |
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437 |
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438 \sa x2(), y2(), p1() |
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439 */ |
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440 |
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441 /*! |
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442 \fn QLine QLineF::toLine() const |
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443 |
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444 Returns an integer based copy of this line. |
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445 |
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446 Note that the returned line's start and end points are rounded to |
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447 the nearest integer. |
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448 |
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449 \sa QLineF() |
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450 */ |
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451 /*! |
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452 \fn qreal QLineF::x1() const |
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453 |
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454 Returns the x-coordinate of the line's start point. |
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455 |
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456 \sa p1() |
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457 */ |
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458 |
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459 /*! |
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460 \fn qreal QLineF::y1() const |
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461 |
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462 Returns the y-coordinate of the line's start point. |
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463 |
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464 \sa p1() |
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465 */ |
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466 |
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467 /*! |
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468 \fn qreal QLineF::x2() const |
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469 |
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470 Returns the x-coordinate of the line's end point. |
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471 |
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472 \sa p2() |
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473 */ |
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474 |
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475 /*! |
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476 \fn qreal QLineF::y2() const |
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477 |
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478 Returns the y-coordinate of the line's end point. |
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479 |
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480 \sa p2() |
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481 */ |
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482 |
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483 /*! |
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484 \fn qreal QLineF::dx() const |
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485 |
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486 Returns the horizontal component of the line's vector. |
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487 |
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488 \sa dy(), pointAt() |
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489 */ |
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490 |
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491 /*! |
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492 \fn qreal QLineF::dy() const |
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493 |
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494 Returns the vertical component of the line's vector. |
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495 |
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496 \sa dx(), pointAt() |
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497 */ |
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498 |
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499 /*! |
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500 \fn QLineF::setLength(qreal length) |
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501 |
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502 Sets the length of the line to the given \a length. QLineF will |
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503 move the end point - p2() - of the line to give the line its new length. |
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504 |
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505 If the line is a null line, the length will remain zero regardless |
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506 of the length specified. |
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507 |
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508 \sa length(), isNull() |
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509 */ |
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510 |
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511 /*! |
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512 \fn QLineF QLineF::normalVector() const |
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513 |
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514 Returns a line that is perpendicular to this line with the same starting |
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515 point and length. |
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516 |
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517 \image qlinef-normalvector.png |
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518 |
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519 \sa unitVector() |
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520 */ |
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521 |
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522 /*! |
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523 \fn bool QLineF::operator!=(const QLineF &line) const |
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524 |
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525 Returns true if the given \a line is not the same as \e this line. |
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526 |
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527 A line is different from another line if their start or end points |
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528 differ, or the internal order of the points is different. |
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529 */ |
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530 |
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531 /*! |
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532 \fn bool QLineF::operator==(const QLineF &line) const |
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533 |
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534 Returns true if the given \a line is the same as this line. |
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535 |
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536 A line is identical to another line if the start and end points |
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537 are identical, and the internal order of the points is the same. |
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538 */ |
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539 |
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540 /*! |
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541 \fn qreal QLineF::pointAt(qreal t) const |
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542 |
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543 Returns the point at the parameterized position specified by \a |
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544 t. The function returns the line's start point if t = 0, and its end |
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545 point if t = 1. |
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546 |
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547 \sa dx(), dy() |
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548 */ |
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549 |
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550 /*! |
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551 Returns the length of the line. |
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552 |
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553 \sa setLength() |
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554 */ |
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555 qreal QLineF::length() const |
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556 { |
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557 qreal x = pt2.x() - pt1.x(); |
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558 qreal y = pt2.y() - pt1.y(); |
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559 return qSqrt(x*x + y*y); |
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560 } |
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561 |
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562 /*! |
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563 \since 4.4 |
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564 |
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565 Returns the angle of the line in degrees. |
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566 |
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567 Positive values for the angles mean counter-clockwise while negative values |
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568 mean the clockwise direction. Zero degrees is at the 3 o'clock position. |
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569 |
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570 \sa setAngle() |
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571 */ |
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572 qreal QLineF::angle() const |
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573 { |
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574 const qreal dx = pt2.x() - pt1.x(); |
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575 const qreal dy = pt2.y() - pt1.y(); |
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576 |
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577 const qreal theta = atan2(-dy, dx) * 360.0 / M_2PI; |
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578 |
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579 const qreal theta_normalized = theta < 0 ? theta + 360 : theta; |
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580 |
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581 if (qFuzzyCompare(theta_normalized, qreal(360))) |
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582 return qreal(0); |
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583 else |
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584 return theta_normalized; |
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585 } |
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586 |
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587 /*! |
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588 \since 4.4 |
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589 |
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590 Sets the angle of the line to the given \a angle (in degrees). |
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591 This will change the position of the second point of the line such that |
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592 the line has the given angle. |
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593 |
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594 Positive values for the angles mean counter-clockwise while negative values |
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595 mean the clockwise direction. Zero degrees is at the 3 o'clock position. |
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596 |
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597 \sa angle() |
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598 */ |
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599 void QLineF::setAngle(qreal angle) |
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600 { |
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601 const qreal angleR = angle * M_2PI / 360.0; |
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602 const qreal l = length(); |
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603 |
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604 const qreal dx = qCos(angleR) * l; |
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605 const qreal dy = -qSin(angleR) * l; |
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606 |
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607 pt2.rx() = pt1.x() + dx; |
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608 pt2.ry() = pt1.y() + dy; |
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609 } |
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610 |
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611 /*! |
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612 \since 4.4 |
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613 |
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614 Returns a QLineF with the given \a length and \a angle. |
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615 |
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616 The first point of the line will be on the origin. |
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617 |
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618 Positive values for the angles mean counter-clockwise while negative values |
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619 mean the clockwise direction. Zero degrees is at the 3 o'clock position. |
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620 */ |
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621 QLineF QLineF::fromPolar(qreal length, qreal angle) |
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622 { |
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623 const qreal angleR = angle * M_2PI / 360.0; |
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624 return QLineF(0, 0, qCos(angleR) * length, -qSin(angleR) * length); |
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625 } |
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626 |
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627 /*! |
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628 Returns the unit vector for this line, i.e a line starting at the |
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629 same point as \e this line with a length of 1.0. |
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630 |
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631 \sa normalVector() |
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632 */ |
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633 QLineF QLineF::unitVector() const |
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634 { |
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635 qreal x = pt2.x() - pt1.x(); |
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636 qreal y = pt2.y() - pt1.y(); |
|
637 |
|
638 qreal len = qSqrt(x*x + y*y); |
|
639 QLineF f(p1(), QPointF(pt1.x() + x/len, pt1.y() + y/len)); |
|
640 |
|
641 #ifndef QT_NO_DEBUG |
|
642 if (qAbs(f.length() - 1) >= 0.001) |
|
643 qWarning("QLine::unitVector: New line does not have unit length"); |
|
644 #endif |
|
645 |
|
646 return f; |
|
647 } |
|
648 |
|
649 /*! |
|
650 \fn QLineF::IntersectType QLineF::intersect(const QLineF &line, QPointF *intersectionPoint) const |
|
651 |
|
652 Returns a value indicating whether or not \e this line intersects |
|
653 with the given \a line. |
|
654 |
|
655 The actual intersection point is extracted to \a intersectionPoint |
|
656 (if the pointer is valid). If the lines are parallel, the |
|
657 intersection point is undefined. |
|
658 */ |
|
659 |
|
660 QLineF::IntersectType QLineF::intersect(const QLineF &l, QPointF *intersectionPoint) const |
|
661 { |
|
662 // ipmlementation is based on Graphics Gems III's "Faster Line Segment Intersection" |
|
663 const QPointF a = pt2 - pt1; |
|
664 const QPointF b = l.pt1 - l.pt2; |
|
665 const QPointF c = pt1 - l.pt1; |
|
666 |
|
667 const qreal denominator = a.y() * b.x() - a.x() * b.y(); |
|
668 if (denominator == 0 || !qt_is_finite(denominator)) |
|
669 return NoIntersection; |
|
670 |
|
671 const qreal reciprocal = 1 / denominator; |
|
672 const qreal na = (b.y() * c.x() - b.x() * c.y()) * reciprocal; |
|
673 if (intersectionPoint) |
|
674 *intersectionPoint = pt1 + a * na; |
|
675 |
|
676 if (na < 0 || na > 1) |
|
677 return UnboundedIntersection; |
|
678 |
|
679 const qreal nb = (a.x() * c.y() - a.y() * c.x()) * reciprocal; |
|
680 if (nb < 0 || nb > 1) |
|
681 return UnboundedIntersection; |
|
682 |
|
683 return BoundedIntersection; |
|
684 } |
|
685 |
|
686 /*! |
|
687 \fn void QLineF::translate(const QPointF &offset) |
|
688 |
|
689 Translates this line by the given \a offset. |
|
690 */ |
|
691 |
|
692 /*! |
|
693 \fn void QLineF::translate(qreal dx, qreal dy) |
|
694 \overload |
|
695 |
|
696 Translates this line the distance specified by \a dx and \a dy. |
|
697 */ |
|
698 |
|
699 /*! |
|
700 \fn QLineF QLineF::translated(const QPointF &offset) const |
|
701 |
|
702 \since 4.4 |
|
703 |
|
704 Returns this line translated by the given \a offset. |
|
705 */ |
|
706 |
|
707 /*! |
|
708 \fn QLineF QLineF::translated(qreal dx, qreal dy) const |
|
709 \overload |
|
710 \since 4.4 |
|
711 |
|
712 Returns this line translated the distance specified by \a dx and \a dy. |
|
713 */ |
|
714 |
|
715 /*! |
|
716 \fn void QLineF::setP1(const QPointF &p1) |
|
717 \since 4.4 |
|
718 |
|
719 Sets the starting point of this line to \a p1. |
|
720 |
|
721 \sa setP2(), p1() |
|
722 */ |
|
723 |
|
724 |
|
725 /*! |
|
726 \fn void QLineF::setP2(const QPointF &p2) |
|
727 \since 4.4 |
|
728 |
|
729 Sets the end point of this line to \a p2. |
|
730 |
|
731 \sa setP1(), p2() |
|
732 */ |
|
733 |
|
734 |
|
735 /*! |
|
736 \fn void QLineF::setPoints(const QPointF &p1, const QPointF &p2) |
|
737 \since 4.4 |
|
738 |
|
739 Sets the start point of this line to \a p1 and the end point of this line to \a p2. |
|
740 |
|
741 \sa setP1(), setP2(), p1(), p2() |
|
742 */ |
|
743 |
|
744 |
|
745 /*! |
|
746 \fn void QLineF::setLine(qreal x1, qreal y1, qreal x2, qreal y2) |
|
747 \since 4.4 |
|
748 |
|
749 Sets this line to the start in \a x1, \a y1 and end in \a x2, \a y2. |
|
750 |
|
751 \sa setP1(), setP2(), p1(), p2() |
|
752 */ |
|
753 |
|
754 /*! |
|
755 \fn qreal QLineF::angleTo(const QLineF &line) const |
|
756 |
|
757 \since 4.4 |
|
758 |
|
759 Returns the angle (in degrees) from this line to the given \a |
|
760 line, taking the direction of the lines into account. If the lines |
|
761 do not intersect within their range, it is the intersection point of |
|
762 the extended lines that serves as origin (see |
|
763 QLineF::UnboundedIntersection). |
|
764 |
|
765 The returned value represents the number of degrees you need to add |
|
766 to this line to make it have the same angle as the given \a line, |
|
767 going counter-clockwise. |
|
768 |
|
769 \sa intersect() |
|
770 */ |
|
771 qreal QLineF::angleTo(const QLineF &l) const |
|
772 { |
|
773 if (isNull() || l.isNull()) |
|
774 return 0; |
|
775 |
|
776 const qreal a1 = angle(); |
|
777 const qreal a2 = l.angle(); |
|
778 |
|
779 const qreal delta = a2 - a1; |
|
780 const qreal delta_normalized = delta < 0 ? delta + 360 : delta; |
|
781 |
|
782 if (qFuzzyCompare(delta, qreal(360))) |
|
783 return 0; |
|
784 else |
|
785 return delta_normalized; |
|
786 } |
|
787 |
|
788 /*! |
|
789 \fn qreal QLineF::angle(const QLineF &line) const |
|
790 |
|
791 \obsolete |
|
792 |
|
793 Returns the angle (in degrees) between this line and the given \a |
|
794 line, taking the direction of the lines into account. If the lines |
|
795 do not intersect within their range, it is the intersection point of |
|
796 the extended lines that serves as origin (see |
|
797 QLineF::UnboundedIntersection). |
|
798 |
|
799 \table |
|
800 \row |
|
801 \o \inlineimage qlinef-angle-identicaldirection.png |
|
802 \o \inlineimage qlinef-angle-oppositedirection.png |
|
803 \endtable |
|
804 |
|
805 When the lines are parallel, this function returns 0 if they have |
|
806 the same direction; otherwise it returns 180. |
|
807 |
|
808 \sa intersect() |
|
809 */ |
|
810 qreal QLineF::angle(const QLineF &l) const |
|
811 { |
|
812 if (isNull() || l.isNull()) |
|
813 return 0; |
|
814 qreal cos_line = (dx()*l.dx() + dy()*l.dy()) / (length()*l.length()); |
|
815 qreal rad = 0; |
|
816 // only accept cos_line in the range [-1,1], if it is outside, use 0 (we return 0 rather than PI for those cases) |
|
817 if (cos_line >= -1.0 && cos_line <= 1.0) rad = acos( cos_line ); |
|
818 return rad * 360 / M_2PI; |
|
819 } |
|
820 |
|
821 |
|
822 #ifndef QT_NO_DEBUG_STREAM |
|
823 QDebug operator<<(QDebug d, const QLineF &p) |
|
824 { |
|
825 d << "QLineF(" << p.p1() << ',' << p.p2() << ')'; |
|
826 return d; |
|
827 } |
|
828 #endif |
|
829 |
|
830 #ifndef QT_NO_DATASTREAM |
|
831 /*! |
|
832 \relates QLineF |
|
833 |
|
834 Writes the given \a line to the given \a stream and returns a |
|
835 reference to the stream. |
|
836 |
|
837 \sa {Format of the QDataStream Operators} |
|
838 */ |
|
839 |
|
840 QDataStream &operator<<(QDataStream &stream, const QLineF &line) |
|
841 { |
|
842 stream << line.p1() << line.p2(); |
|
843 return stream; |
|
844 } |
|
845 |
|
846 /*! |
|
847 \relates QLineF |
|
848 |
|
849 Reads a line from the given \a stream into the given \a line and |
|
850 returns a reference to the stream. |
|
851 |
|
852 \sa {Format of the QDataStream Operators} |
|
853 */ |
|
854 |
|
855 QDataStream &operator>>(QDataStream &stream, QLineF &line) |
|
856 { |
|
857 QPointF start, end; |
|
858 stream >> start; |
|
859 stream >> end; |
|
860 line = QLineF(start, end); |
|
861 |
|
862 return stream; |
|
863 } |
|
864 |
|
865 #endif // QT_NO_DATASTREAM |
|
866 |
|
867 QT_END_NAMESPACE |