QGIS API Documentation  3.6.0-Noosa (5873452)
qgsquadrilateral.cpp
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1 /***************************************************************************
2  qgsquadrilateral.cpp
3  -------------------
4  begin : November 2018
5  copyright : (C) 2018 by Loïc Bartoletti
6  email : loic dot bartoletti at oslandia dot com
7  ***************************************************************************/
8 
9 /***************************************************************************
10  * *
11  * This program is free software; you can redistribute it and/or modify *
12  * it under the terms of the GNU General Public License as published by *
13  * the Free Software Foundation; either version 2 of the License, or *
14  * (at your option) any later version. *
15  * *
16  ***************************************************************************/
17 
18 #include "qgsquadrilateral.h"
19 #include "qgsgeometryutils.h"
20 
22 
23 QgsQuadrilateral::QgsQuadrilateral( const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3, const QgsPoint &p4 )
24 {
25  setPoints( p1, p2, p3, p4 );
26 }
27 
28 QgsQuadrilateral::QgsQuadrilateral( const QgsPointXY &p1, const QgsPointXY &p2, const QgsPointXY &p3, const QgsPointXY &p4 )
29 {
30  setPoints( QgsPoint( p1 ), QgsPoint( p2 ), QgsPoint( p3 ), QgsPoint( p4 ) );
31 }
32 
34 {
36 
37  double z = std::numeric_limits< double >::quiet_NaN();
38 
39  if ( p1.is3D() )
40  z = p1.z();
41  if ( p2.is3D() && std::isnan( z ) )
42  z = p2.z();
43  if ( p3.is3D() && std::isnan( z ) )
44  z = p3.z();
45  if ( !std::isnan( z ) )
46  {
47  pType = QgsWkbTypes::addZ( pType );
48  }
49  else
50  {
51  // This is only necessary to facilitate the calculation of the perpendicular
52  // point with QgsVector3D.
53  if ( mode == Projected )
54  z = 0;
55  }
56  QgsPoint point1( pType, p1.x(), p1.y(), std::isnan( p1.z() ) ? z : p1.z() );
57  QgsPoint point2( pType, p2.x(), p2.y(), std::isnan( p2.z() ) ? z : p2.z() );
58  QgsPoint point3( pType, p3.x(), p3.y(), std::isnan( p3.z() ) ? z : p3.z() );
59 
60  QgsQuadrilateral rect;
61  double inclination = 90.0;
62  double distance = 0;
63  double azimuth = point1.azimuth( point2 ) + 90.0 * QgsGeometryUtils::leftOfLine( point3.x(), point3.y(), point1.x(), point1.y(), point2.x(), point2.y() );
64  switch ( mode )
65  {
66  case Distance:
67  {
68  if ( point2.is3D() && point3.is3D() )
69  {
70  inclination = point2.inclination( point3 );
71  distance = point2.distance3D( point3 );
72  }
73  else
74  {
75  distance = point2.distance( point3 );
76  }
77 
78  rect.setPoints( point1, point2, point2.project( distance, azimuth, inclination ), point1.project( distance, azimuth, inclination ) );
79  break;
80  }
81  case Projected:
82  {
83  QgsVector3D v3 = QgsVector3D::perpendicularPoint( QgsVector3D( point1.x(), point1.y(), std::isnan( point1.z() ) ? z : point1.z() ),
84  QgsVector3D( point2.x(), point2.y(), std::isnan( point2.z() ) ? z : point2.z() ),
85  QgsVector3D( point3.x(), point3.y(), std::isnan( point3.z() ) ? z : point3.z() ) );
86  QgsPoint pV3( pType, v3.x(), v3.y(), v3.z() );
87  if ( p3.is3D() )
88  {
89  inclination = pV3.inclination( p3 );
90  distance = p3.distance3D( pV3 );
91  }
92  else
93  distance = p3.distance( pV3 );
94 
95  // Final points
96  QgsPoint fp1 = point1;
97  QgsPoint fp2 = point2;
98  QgsPoint fp3 = point2.project( distance, azimuth, inclination );
99  QgsPoint fp4 = point1.project( distance, azimuth, inclination ) ;
100 
101  if ( pType != QgsWkbTypes::PointZ )
102  {
103  fp1.dropZValue();
104  fp2.dropZValue();
105  fp3.dropZValue();
106  fp4.dropZValue();
107  }
108  rect.setPoints( fp1, fp2, fp3, fp4 );
109  break;
110  }
111  }
112 
113  return rect;
114 
115 }
116 
118 {
119  if ( QgsPoint( p1.x(), p1.y() ) == QgsPoint( p2.x(), p2.y() ) )
120  return QgsQuadrilateral();
121 
122  QgsQuadrilateral quad;
123  double z = p1.z();
124 
125  double xMin = 0, xMax = 0, yMin = 0, yMax = 0;
126 
127  if ( p1.x() < p2.x() )
128  {
129  xMin = p1.x();
130  xMax = p2.x();
131  }
132  else
133  {
134 
135  xMin = p2.x();
136  xMax = p1.x();
137  }
138 
139  if ( p1.y() < p2.y() )
140  {
141  yMin = p1.y();
142  yMax = p2.y();
143  }
144  else
145  {
146 
147  yMin = p2.y();
148  yMax = p1.y();
149  }
150 
151  quad.setPoints( QgsPoint( xMin, yMin, z ),
152  QgsPoint( xMin, yMax, z ),
153  QgsPoint( xMax, yMax, z ),
154  QgsPoint( xMax, yMin, z ) );
155 
156  return quad;
157 }
158 
160 {
161 
162  if ( QgsPoint( p1.x(), p1.y() ) == QgsPoint( p2.x(), p2.y() ) )
163  return QgsQuadrilateral();
164 
165  QgsQuadrilateral quad;
166  QgsPoint point2, point3 = QgsPoint( p2.x(), p2.y() ), point4;
167 
168  double azimuth = p1.azimuth( point3 ) + 90.0;
169  double distance = p1.distance( point3 ) / 2.0;
170  QgsPoint midPoint = QgsGeometryUtils::midpoint( p1, point3 );
171 
172  point2 = midPoint.project( -distance, azimuth );
173  point4 = midPoint.project( distance, azimuth );
174 
175  if ( p1.is3D() )
176  {
177  double z = 0;
178  z = p1.z();
179  point2 = QgsPoint( point2.x(), point2.y(), z );
180  point3 = QgsPoint( point3.x(), point3.y(), z );
181  point4 = QgsPoint( point4.x(), point4.y(), z );
182  }
183 
184  quad.setPoints( p1, point2, point3, point4 );
185 
186  return quad;
187 }
188 
190 {
191  if ( QgsPoint( center.x(), center.y() ) == QgsPoint( point.x(), point.y() ) )
192  return QgsQuadrilateral();
193  double xOffset = std::fabs( point.x() - center.x() );
194  double yOffset = std::fabs( point.y() - center.y() );
195 
196  return QgsQuadrilateral( QgsPoint( center.x() - xOffset, center.y() - yOffset, center.z() ),
197  QgsPoint( center.x() - xOffset, center.y() + yOffset, center.z() ),
198  QgsPoint( center.x() + xOffset, center.y() + yOffset, center.z() ),
199  QgsPoint( center.x() + xOffset, center.y() - yOffset, center.z() ) );
200 }
201 
203 {
204  QgsQuadrilateral quad;
205  quad.setPoints(
206  QgsPoint( rectangle.xMinimum(), rectangle.yMinimum() ),
207  QgsPoint( rectangle.xMinimum(), rectangle.yMaximum() ),
208  QgsPoint( rectangle.xMaximum(), rectangle.yMaximum() ),
209  QgsPoint( rectangle.xMaximum(), rectangle.yMinimum() )
210  );
211  return quad;
212 }
213 
214 // Convenient method for comparison
215 // TODO: should be have a equals method for QgsPoint allowing tolerance.
216 static bool equalPoint( const QgsPoint &p1, const QgsPoint &p2, double epsilon )
217 {
218  bool equal = true;
219  equal &= qgsDoubleNear( p1.x(), p2.x(), epsilon );
220  equal &= qgsDoubleNear( p1.y(), p2.y(), epsilon );
221  if ( p1.is3D() || p2.is3D() )
222  equal &= qgsDoubleNear( p1.z(), p2.z(), epsilon ) || ( std::isnan( p1.z() ) && std::isnan( p2.z() ) );
223  if ( p1.isMeasure() || p2.isMeasure() )
224  equal &= qgsDoubleNear( p1.m(), p2.m(), epsilon ) || ( std::isnan( p1.m() ) && std::isnan( p2.m() ) );
225 
226  return equal;
227 }
228 
229 bool QgsQuadrilateral::equals( const QgsQuadrilateral &other, double epsilon ) const
230 {
231  if ( !( isValid() || other.isValid() ) )
232  {
233  return true;
234  }
235  else if ( !isValid() || !other.isValid() )
236  {
237  return false;
238  }
239  return ( ( equalPoint( mPoint1, other.mPoint1, epsilon ) ) &&
240  ( equalPoint( mPoint2, other.mPoint2, epsilon ) ) &&
241  ( equalPoint( mPoint3, other.mPoint3, epsilon ) ) &&
242  ( equalPoint( mPoint4, other.mPoint4, epsilon ) ) );
243 }
244 
246 {
247  return equals( other );
248 }
249 
251 {
252  return !operator==( other );
253 }
254 
255 // Returns true if segments are not self-intersected ( [2-3] / [4-1] or [1-2] /
256 // [3-4] )
257 //
258 // p3 p1 p1 p3
259 // | \ /| | \ /|
260 // | \/ | | \/ |
261 // | /\ | or | /\ |
262 // | / \| | / \|
263 // p2 p4 p2 p4
264 
265 static bool isNotAntiParallelogram( const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3, const QgsPoint &p4 )
266 {
267  QgsPoint inter;
268  bool isIntersection1234 = QgsGeometryUtils::segmentIntersection( p1, p2, p3, p4, inter, isIntersection1234 );
269  bool isIntersection2341 = QgsGeometryUtils::segmentIntersection( p2, p3, p4, p1, inter, isIntersection2341 );
270 
271  return !( isIntersection1234 || isIntersection2341 );
272 }
273 
274 static bool isNotCollinear( const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3, const QgsPoint &p4 )
275 {
276  bool isCollinear =
277  (
278  ( QgsGeometryUtils::segmentSide( p1, p2, p3 ) == 0 ) ||
279  ( QgsGeometryUtils::segmentSide( p1, p2, p4 ) == 0 ) ||
280  ( QgsGeometryUtils::segmentSide( p1, p3, p4 ) == 0 ) ||
281  ( QgsGeometryUtils::segmentSide( p2, p3, p4 ) == 0 )
282  );
283 
284 
285  return !isCollinear;
286 }
287 
288 static bool notHaveDoublePoints( const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3, const QgsPoint &p4 )
289 {
290  bool doublePoints =
291  (
292  ( p1 == p2 ) || ( p1 == p3 ) || ( p1 == p4 ) || ( p2 == p3 ) || ( p2 == p4 ) || ( p3 == p4 ) );
293 
294  return !doublePoints;
295 }
296 
297 static bool haveSameType( const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3, const QgsPoint &p4 )
298 {
299  bool sameType = !( ( p1.wkbType() != p2.wkbType() ) || ( p1.wkbType() != p3.wkbType() ) || ( p1.wkbType() != p4.wkbType() ) );
300  return sameType;
301 }
302 // Convenient method to validate inputs
303 static bool validate( const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3, const QgsPoint &p4 )
304 {
305  return (
306  haveSameType( p1, p2, p3, p4 ) &&
307  notHaveDoublePoints( p1, p2, p3, p4 ) &&
308  isNotAntiParallelogram( p1, p2, p3, p4 ) &&
309  isNotCollinear( p1, p2, p3, p4 )
310  );
311 }
312 
314 {
315  return validate( mPoint1, mPoint2, mPoint3, mPoint4 );
316 }
317 
318 bool QgsQuadrilateral::setPoint( const QgsPoint &newPoint, Point index )
319 {
320  switch ( index )
321  {
322  case Point1:
323  if ( validate( newPoint, mPoint2, mPoint3, mPoint4 ) == false )
324  return false;
325  mPoint1 = newPoint;
326  break;
327  case Point2:
328  if ( validate( mPoint1, newPoint, mPoint3, mPoint4 ) == false )
329  return false;
330  mPoint2 = newPoint;
331  break;
332  case Point3:
333  if ( validate( mPoint1, mPoint2, newPoint, mPoint4 ) == false )
334  return false;
335  mPoint3 = newPoint;
336  break;
337  case Point4:
338  if ( validate( mPoint1, mPoint2, mPoint3, newPoint ) == false )
339  return false;
340  mPoint4 = newPoint;
341  break;
342  }
343 
344  return true;
345 }
346 
347 bool QgsQuadrilateral::setPoints( const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3, const QgsPoint &p4 )
348 {
349  if ( validate( p1, p2, p3, p4 ) == false )
350  return false;
351 
352  mPoint1 = p1;
353  mPoint2 = p2;
354  mPoint3 = p3;
355  mPoint4 = p4;
356 
357  return true;
358 }
359 
361 {
362  QgsPointSequence pts;
363 
364  pts << mPoint1 << mPoint2 << mPoint3 << mPoint4 << mPoint1;
365 
366  return pts;
367 }
368 
370 {
371  std::unique_ptr<QgsPolygon> polygon = qgis::make_unique< QgsPolygon >();
372  if ( !isValid() )
373  {
374  return polygon.release();
375  }
376 
377  polygon->setExteriorRing( toLineString( force2D ) );
378 
379  return polygon.release();
380 }
381 
383 {
384  std::unique_ptr<QgsLineString> ext = qgis::make_unique< QgsLineString>();
385  if ( !isValid() )
386  {
387  return ext.release();
388  }
389 
390  QgsPointSequence pts;
391  pts = points();
392 
393  ext->setPoints( pts );
394 
395  if ( force2D )
396  ext->dropZValue();
397 
398  return ext.release();
399 }
400 
401 QString QgsQuadrilateral::toString( int pointPrecision ) const
402 {
403  QString rep;
404  if ( !isValid() )
405  rep = QStringLiteral( "Empty" );
406  else
407  rep = QStringLiteral( "Quadrilateral (Point 1: %1, Point 2: %2, Point 3: %3, Point 4: %4)" )
408  .arg( mPoint1.asWkt( pointPrecision ), 0, 's' )
409  .arg( mPoint2.asWkt( pointPrecision ), 0, 's' )
410  .arg( mPoint3.asWkt( pointPrecision ), 0, 's' )
411  .arg( mPoint4.asWkt( pointPrecision ), 0, 's' );
412 
413  return rep;
414 }
415 
417 {
418  return toPolygon()->area();
419 }
420 
422 {
423  return toPolygon()->perimeter();
424 }
bool isMeasure() const
Returns true if the geometry contains m values.
static QgsQuadrilateral squareFromDiagonal(const QgsPoint &p1, const QgsPoint &p2)
Construct a QgsQuadrilateral as a square from a diagonal.
3 Class for storage of 3D vectors similar to QVector3D, with the difference that it uses double preci...
Definition: qgsvector3d.h:31
bool equals(const QgsQuadrilateral &other, double epsilon=4 *std::numeric_limits< double >::epsilon()) const
Compares two QgsQuadrilateral, allowing specification of the maximum allowable difference between poi...
A rectangle specified with double values.
Definition: qgsrectangle.h:41
double y
Definition: qgspoint.h:42
double area() const
Returns the area of the quadrilateral, or 0 if the quadrilateral is empty.
static bool segmentIntersection(const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &q1, const QgsPoint &q2, QgsPoint &intersectionPoint, bool &isIntersection, double tolerance=1e-8, bool acceptImproperIntersection=false)
Compute the intersection between two segments.
static int segmentSide(const QgsPoint &pt1, const QgsPoint &pt3, const QgsPoint &pt2)
For line defined by points pt1 and pt3, find out on which side of the line is point pt3...
bool isValid() const
Convenient method to determine if a QgsQuadrilateral is valid.
double distance(double x, double y) const
Returns the distance between this point and a specified x, y coordinate.
Definition: qgspoint.h:276
double azimuth(const QgsPoint &other) const
Calculates azimuth between this point and other one (clockwise in degree, starting from north) ...
Definition: qgspoint.cpp:624
A class to represent a 2D point.
Definition: qgspointxy.h:43
bool qgsDoubleNear(double a, double b, double epsilon=4 *std::numeric_limits< double >::epsilon())
Compare two doubles (but allow some difference)
Definition: qgis.h:265
Quadrilateral geometry type.
double y() const
Returns Y coordinate.
Definition: qgsvector3d.h:51
double inclination(const QgsPoint &other) const
Calculates inclination between this point and other one (starting from zenith = 0 to nadir = 180...
Definition: qgspoint.cpp:631
double area() const override
Returns the area of the geometry.
bool dropZValue() override
Drops any z-dimensions which exist in the geometry.
Definition: qgspoint.cpp:510
bool setPoints(const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3, const QgsPoint &p4)
Set all points Returns false if the QgsQuadrilateral is not valid:
double z() const
Returns Z coordinate.
Definition: qgsvector3d.h:53
static QgsQuadrilateral fromRectangle(const QgsRectangle &rectangle)
Construct a QgsQuadrilateral as a rectangle from a QgsRectangle.
Type
The WKB type describes the number of dimensions a geometry has.
Definition: qgswkbtypes.h:68
static int leftOfLine(const double x, const double y, const double x1, const double y1, const double x2, const double y2)
Returns a value < 0 if the point (x, y) is left of the line from (x1, y1) -> ( x2, y2).
static QgsPoint midpoint(const QgsPoint &pt1, const QgsPoint &pt2)
Returns a middle point between points pt1 and pt2.
QString asWkt(int precision=17) const override
Returns a WKT representation of the geometry.
Definition: qgspoint.cpp:223
static Type addZ(Type type)
Adds the z dimension to a WKB type and returns the new type.
Definition: qgswkbtypes.h:866
static QgsVector3D perpendicularPoint(const QgsVector3D &v1, const QgsVector3D &v2, const QgsVector3D &vp)
Returns the perpendicular point of vector vp from [v1 - v2].
Definition: qgsvector3d.h:138
static QgsQuadrilateral rectangleFrom3Points(const QgsPoint &p1, const QgsPoint &p2, const QgsPoint &p3, ConstructionOption mode)
Construct a QgsQuadrilateral as a Rectangle from 3 points.
double perimeter() const override
Returns the perimeter of the geometry.
ConstructionOption
A quadrilateral can be constructed from 3 points where the second distance can be determined by the t...
bool operator!=(const QgsQuadrilateral &other) const
QgsPolygon * toPolygon(bool force2D=false) const
Returns the quadrilateral as a new polygon.
QgsWkbTypes::Type wkbType() const
Returns the WKB type of the geometry.
QgsPoint project(double distance, double azimuth, double inclination=90.0) const
Returns a new point which correspond to this point projected by a specified distance with specified a...
Definition: qgspoint.cpp:643
Point geometry type, with support for z-dimension and m-values.
Definition: qgspoint.h:37
static QgsQuadrilateral rectangleFromExtent(const QgsPoint &p1, const QgsPoint &p2)
Construct a QgsQuadrilateral as a rectangle from an extent, defined by two opposite corner points...
double yMinimum() const
Returns the y minimum value (bottom side of rectangle).
Definition: qgsrectangle.h:177
double xMaximum() const
Returns the x maximum value (right side of rectangle).
Definition: qgsrectangle.h:162
QVector< QgsPoint > QgsPointSequence
Point
Simple enumeration to ensure indices in setPoint.
void setExteriorRing(QgsCurve *ring) override
Sets the exterior ring of the polygon.
Definition: qgspolygon.cpp:179
Line string geometry type, with support for z-dimension and m-values.
Definition: qgslinestring.h:43
bool setPoint(const QgsPoint &newPoint, Point index)
Sets the point newPoint at the index.
QgsPointSequence points() const
Returns a list including the vertices of the quadrilateral.
double xMinimum() const
Returns the x minimum value (left side of rectangle).
Definition: qgsrectangle.h:167
double z
Definition: qgspoint.h:43
double yMaximum() const
Returns the y maximum value (top side of rectangle).
Definition: qgsrectangle.h:172
QString toString(int pointPrecision=17) const
Returns a string representation of the quadrilateral.
Polygon geometry type.
Definition: qgspolygon.h:31
QgsLineString * toLineString(bool force2D=false) const
Returns the quadrilateral as a new linestring.
static QgsQuadrilateral rectangleFromCenterPoint(const QgsPoint &center, const QgsPoint &point)
Construct a QgsQuadrilateral as a rectangle from center point center and another point point...
bool is3D() const
Returns true if the geometry is 3D and contains a z-value.
bool operator==(const QgsQuadrilateral &other) const
double distance3D(double x, double y, double z) const
Returns the 3D distance between this point and a specified x, y, z coordinate.
Definition: qgspoint.cpp:588
double x() const
Returns X coordinate.
Definition: qgsvector3d.h:49
double m
Definition: qgspoint.h:44
double perimeter() const
Returns the perimeter of the quadrilateral, or 0 if the quadrilateral is empty.
double x
Definition: qgspoint.h:41