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qgsdistancearea.cpp
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qgsdistancearea.cpp
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/***************************************************************************
qgsdistancearea.cpp - Distance and area calculations on the ellipsoid
---------------------------------------------------------------------------
Date : September 2005
Copyright : (C) 2005 by Martin Dobias
email : won.der at centrum.sk
***************************************************************************
* *
* This program is free software; you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation; either version 2 of the License, or *
* (at your option) any later version. *
* *
***************************************************************************/
/* $Id$ */
#include <cmath>
#include <sqlite3.h>
#include <QDir>
#include <QString>
#include <QLocale>
#include <QObject>
#include "qgis.h"
#include "qgspoint.h"
#include "qgscoordinatetransform.h"
#include "qgsspatialrefsys.h"
#include "qgsgeometry.h"
#include "qgsdistancearea.h"
#include "qgsapplication.h"
#include "qgslogger.h"
// MSVC compiler doesn't have defined M_PI in math.h
#ifndef M_PI
#define M_PI 3.14159265358979323846
#endif
#define DEG2RAD(x) ((x)*M_PI/180)
QgsDistanceArea::QgsDistanceArea()
{
// init with default settings
mProjectionsEnabled = FALSE;
mCoordTransform = new QgsCoordinateTransform;
setSourceSRS(EPSGID); // WGS 84
setEllipsoid("WGS84");
}
QgsDistanceArea::~QgsDistanceArea()
{
delete mCoordTransform;
}
void QgsDistanceArea::setProjectionsEnabled(bool flag)
{
mProjectionsEnabled = flag;
}
void QgsDistanceArea::setSourceSRS(long epsgId)
{
QgsSpatialRefSys srcSRS;
srcSRS.createFromEpsg(epsgId);
mCoordTransform->setSourceSRS(srcSRS);
}
bool QgsDistanceArea::setEllipsoid(const QString& ellipsoid)
{
QString radius, parameter2;
//
// SQLITE3 stuff - get parameters for selected ellipsoid
//
sqlite3 *myDatabase;
const char *myTail;
sqlite3_stmt *myPreparedStatement;
int myResult;
// Shortcut if ellipsoid is none.
if (ellipsoid == "NONE")
{
mEllipsoid = "NONE";
return true;
}
//check the db is available
myResult = sqlite3_open(QgsApplication::qgisUserDbFilePath().toUtf8().data(), &myDatabase);
if(myResult)
{
std::cout << "Can't open database: " << sqlite3_errmsg(myDatabase) << std::endl;
// XXX This will likely never happen since on open, sqlite creates the
// database if it does not exist.
return false;
}
// Set up the query to retreive the projection information needed to populate the ELLIPSOID list
QString mySql = "select radius, parameter2 from tbl_ellipsoid where acronym='" + ellipsoid + "'";
myResult = sqlite3_prepare(myDatabase, mySql.toUtf8(), mySql.length(), &myPreparedStatement, &myTail);
// XXX Need to free memory from the error msg if one is set
if(myResult == SQLITE_OK)
{
if (sqlite3_step(myPreparedStatement) == SQLITE_ROW)
{
radius = QString((char *)sqlite3_column_text(myPreparedStatement,0));
parameter2 = QString((char *)sqlite3_column_text(myPreparedStatement,1));
}
}
// close the sqlite3 statement
sqlite3_finalize(myPreparedStatement);
sqlite3_close(myDatabase);
// row for this ellipsoid wasn't found?
if (radius.isEmpty() || parameter2.isEmpty())
{
QgsDebugMsg(QString("setEllipsoid: no row in tbl_ellipsoid for acronym '") + ellipsoid.toLocal8Bit().data() + "'")
return false;
}
// get major semiaxis
if (radius.left(2) == "a=")
mSemiMajor = radius.mid(2).toDouble();
else
{
QgsDebugMsg(QString("setEllipsoid: wrong format of radius field: '") + radius.toLocal8Bit().data() + "'")
return false;
}
// get second parameter
// one of values 'b' or 'f' is in field parameter2
// second one must be computed using formula: invf = a/(a-b)
if (parameter2.left(2) == "b=")
{
mSemiMinor = parameter2.mid(2).toDouble();
mInvFlattening = mSemiMajor / (mSemiMajor - mSemiMinor);
}
else if (parameter2.left(3) == "rf=")
{
mInvFlattening = parameter2.mid(3).toDouble();
mSemiMinor = mSemiMajor - (mInvFlattening / mSemiMajor);
}
else
{
QgsDebugMsg(QString("setEllipsoid: wrong format of parameter2 field: '") + parameter2.toLocal8Bit().data() + "'")
return false;
}
QgsDebugMsg(QString("setEllipsoid: a=") + mSemiMajor + ", b=" + mSemiMinor + ", 1/f=" + mInvFlattening)
// get spatial ref system for ellipsoid
QString proj4 = "+proj=longlat +ellps=";
proj4 += ellipsoid;
proj4 += " +no_defs";
QgsSpatialRefSys destSRS;
destSRS.createFromProj4(proj4);
// set transformation from project SRS to ellipsoid coordinates
mCoordTransform->setDestSRS(destSRS);
// precalculate some values for area calculations
computeAreaInit();
mEllipsoid = ellipsoid;
return true;
}
double QgsDistanceArea::measure(QgsGeometry* geometry)
{
unsigned char* wkb = geometry->wkbBuffer();
unsigned char* ptr;
unsigned int wkbType;
double res, resTotal = 0;
int count, i;
memcpy(&wkbType, (wkb+1), sizeof(wkbType));
// measure distance or area based on what is the type of geometry
switch (wkbType)
{
case QGis::WKBLineString:
measureLine(wkb, &res);
return res;
case QGis::WKBMultiLineString:
count = *((int*)(wkb+5));
ptr = wkb+9;
for (i = 0; i < count; i++)
{
ptr = measureLine(ptr, &res);
resTotal += res;
}
return resTotal;
case QGis::WKBPolygon:
measurePolygon(wkb, &res);
return res;
case QGis::WKBMultiPolygon:
count = *((int*)(wkb+5));
ptr = wkb+9;
for (i = 0; i < count; i++)
{
ptr = measurePolygon(ptr, &res);
resTotal += res;
}
return resTotal;
default:
std::cout << "measure: unexpected geometry type: " << wkbType << std::endl;
return 0;
}
}
unsigned char* QgsDistanceArea::measureLine(unsigned char* feature, double* area)
{
unsigned char *ptr = feature + 5;
unsigned int nPoints = *((int*)ptr);
ptr = feature + 9;
QList<QgsPoint> points;
double x,y;
QgsDebugMsg("This feature WKB has " + QString::number(nPoints) + " points");
// Extract the points from the WKB format into the vector
for (unsigned int i = 0; i < nPoints; ++i)
{
x = *((double *) ptr);
ptr += sizeof(double);
y = *((double *) ptr);
ptr += sizeof(double);
points.append(QgsPoint(x,y));
}
*area = measureLine(points);
return ptr;
}
double QgsDistanceArea::measureLine(const QList<QgsPoint>& points)
{
if (points.size() < 2)
return 0;
double total = 0;
QgsPoint p1, p2;
try
{
if (mProjectionsEnabled && (mEllipsoid != "NONE"))
p1 = mCoordTransform->transform(points[0]);
else
p1 = points[0];
for (QList<QgsPoint>::const_iterator i = points.begin(); i != points.end(); ++i)
{
if (mProjectionsEnabled && (mEllipsoid != "NONE"))
{
p2 = mCoordTransform->transform(*i);
total += computeDistanceBearing(p1,p2);
}
else
{
p2 = *i;
total += measureLine(p1,p2);
}
p1 = p2;
}
return total;
}
catch (QgsCsException &cse)
{
Q_UNUSED(cse);
QgsLogger::warning(QObject::tr("Caught a coordinate system exception while trying to transform a point. Unable to calculate line length."));
return 0.0;
}
}
double QgsDistanceArea::measureLine(const QgsPoint& p1, const QgsPoint& p2)
{
try
{
QgsPoint pp1 = p1, pp2 = p2;
if (mProjectionsEnabled && (mEllipsoid != "NONE"))
{
pp1 = mCoordTransform->transform(p1);
pp2 = mCoordTransform->transform(p2);
return computeDistanceBearing(pp1, pp2);
}
else
{
return sqrt((p2.x()-p1.x())*(p2.x()-p1.x()) + (p2.y()-p1.y())*(p2.y()-p1.y()));
}
}
catch (QgsCsException &cse)
{
Q_UNUSED(cse);
QgsLogger::warning(QObject::tr("Caught a coordinate system exception while trying to transform a point. Unable to calculate line length."));
return 0.0;
}
}
unsigned char* QgsDistanceArea::measurePolygon(unsigned char* feature, double* area)
{
// get number of rings in the polygon
unsigned int numRings = *((int*)(feature + 1 + sizeof(int)));
if (numRings == 0)
return 0;
// Set pointer to the first ring
unsigned char* ptr = feature + 1 + 2 * sizeof(int);
QList<QgsPoint> points;
QgsPoint pnt;
double x,y, areaTmp;
*area = 0;
try
{
for (unsigned int idx = 0; idx < numRings; idx++)
{
int nPoints = *((int*)ptr);
ptr += 4;
// Extract the points from the WKB and store in a pair of
// vectors.
for (int jdx = 0; jdx < nPoints; jdx++)
{
x = *((double *) ptr);
ptr += sizeof(double);
y = *((double *) ptr);
ptr += sizeof(double);
pnt = QgsPoint(x,y);
if (mProjectionsEnabled && (mEllipsoid != "NONE"))
{
pnt = mCoordTransform->transform(pnt);
}
points.append(pnt);
}
if (points.size() > 2)
{
areaTmp = computePolygonArea(points);
if (idx == 0)
*area += areaTmp; // exterior ring
else
*area -= areaTmp; // interior rings
}
points.clear();
}
}
catch (QgsCsException &cse)
{
Q_UNUSED(cse);
QgsLogger::warning(QObject::tr("Caught a coordinate system exception while trying to transform a point. Unable to calculate polygon area."));
}
return ptr;
}
double QgsDistanceArea::measurePolygon(const QList<QgsPoint>& points)
{
try
{
if (mProjectionsEnabled && (mEllipsoid != "NONE"))
{
QList<QgsPoint> pts;
for (QList<QgsPoint>::const_iterator i = points.begin(); i != points.end(); ++i)
{
pts.append(mCoordTransform->transform(*i));
}
return computePolygonArea(pts);
}
else
{
return computePolygonArea(points);
}
}
catch (QgsCsException &cse)
{
Q_UNUSED(cse);
QgsLogger::warning(QObject::tr("Caught a coordinate system exception while trying to transform a point. Unable to calculate polygon area."));
return 0.0;
}
}
double QgsDistanceArea::getBearing(const QgsPoint& p1, const QgsPoint& p2)
{
QgsPoint pp1 = p1, pp2 = p2;
if (mProjectionsEnabled && (mEllipsoid != "NONE"))
{
pp1 = mCoordTransform->transform(p1);
pp2 = mCoordTransform->transform(p2);
}
double bearing;
computeDistanceBearing(pp1, pp2, &bearing);
return bearing;
}
///////////////////////////////////////////////////////////
// distance calculation
double QgsDistanceArea::computeDistanceBearing(
const QgsPoint& p1, const QgsPoint& p2,
double* course1, double* course2)
{
if (p1.x() == p2.x() && p1.y() == p2.y())
return 0;
// ellipsoid
double a = mSemiMajor;
double b = mSemiMinor;
double f = 1 / mInvFlattening;
double p1_lat = DEG2RAD(p1.y()), p1_lon = DEG2RAD(p1.x());
double p2_lat = DEG2RAD(p2.y()), p2_lon = DEG2RAD(p2.x());
double L = p2_lon - p1_lon;
double U1 = atan((1-f) * tan(p1_lat));
double U2 = atan((1-f) * tan(p2_lat));
double sinU1 = sin(U1), cosU1 = cos(U1);
double sinU2 = sin(U2), cosU2 = cos(U2);
double lambda = L;
double lambdaP = 2*M_PI;
double sinLambda=0;
double cosLambda=0;
double sinSigma=0;
double cosSigma=0;
double sigma=0;
double alpha=0;
double cosSqAlpha=0;
double cos2SigmaM=0;
double C=0;
double tu1=0;
double tu2=0;
int iterLimit = 20;
while (fabs(lambda-lambdaP) > 1e-12 && --iterLimit>0)
{
sinLambda = sin(lambda);
cosLambda = cos(lambda);
tu1 = (cosU2*sinLambda);
tu2 = (cosU1*sinU2-sinU1*cosU2*cosLambda);
sinSigma = sqrt(tu1 * tu1 + tu2 * tu2);
cosSigma = sinU1*sinU2 + cosU1*cosU2*cosLambda;
sigma = atan2(sinSigma, cosSigma);
alpha = asin(cosU1 * cosU2 * sinLambda / sinSigma);
cosSqAlpha = cos(alpha) * cos(alpha);
cos2SigmaM = cosSigma - 2*sinU1*sinU2/cosSqAlpha;
C = f/16*cosSqAlpha*(4+f*(4-3*cosSqAlpha));
lambdaP = lambda;
lambda = L + (1-C) * f * sin(alpha) *
(sigma + C*sinSigma*(cos2SigmaM+C*cosSigma*(-1+2*cos2SigmaM*cos2SigmaM)));
}
if (iterLimit == 0)
return -1; // formula failed to converge
double uSq = cosSqAlpha*(a*a-b*b)/(b*b);
double A = 1 + uSq/16384*(4096+uSq*(-768+uSq*(320-175*uSq)));
double B = uSq/1024 * (256+uSq*(-128+uSq*(74-47*uSq)));
double deltaSigma = B*sinSigma*(cos2SigmaM+B/4*(cosSigma*(-1+2*cos2SigmaM*cos2SigmaM)-
B/6*cos2SigmaM*(-3+4*sinSigma*sinSigma)*(-3+4*cos2SigmaM*cos2SigmaM)));
double s = b*A*(sigma-deltaSigma);
if (course1)
{
*course1 = atan2(tu1, tu2);
}
if (course2)
{
// PI is added to return azimuth from P2 to P1
*course2 = atan2(cosU1*sinLambda, -sinU1*cosU2 + cosU1*sinU2*cosLambda) + M_PI;
}
return s;
}
///////////////////////////////////////////////////////////
// stuff for measuring areas - copied from GRASS
// don't know how does it work, but it's working .)
// see G_begin_ellipsoid_polygon_area() in area_poly1.c
double QgsDistanceArea::getQ(double x)
{
double sinx, sinx2;
sinx = sin(x);
sinx2 = sinx * sinx;
return sinx * (1 + sinx2 * (m_QA + sinx2 * (m_QB + sinx2 * m_QC)));
}
double QgsDistanceArea::getQbar(double x)
{
double cosx, cosx2;
cosx = cos(x);
cosx2 = cosx * cosx;
return cosx * (m_QbarA + cosx2 * (m_QbarB + cosx2 * (m_QbarC + cosx2 * m_QbarD)));
}
void QgsDistanceArea::computeAreaInit()
{
double a2 = (mSemiMajor*mSemiMajor);
double e2 = 1 - (a2/(mSemiMinor*mSemiMinor));
double e4, e6;
m_TwoPI = M_PI+M_PI;
e4 = e2 * e2;
e6 = e4 * e2;
m_AE = a2 * (1 - e2);
m_QA = (2.0/3.0)*e2;
m_QB = (3.0/5.0)*e4;
m_QC = (4.0/7.0)*e6;
m_QbarA = -1.0 - (2.0/3.0)*e2 - (3.0/5.0)*e4 - (4.0/7.0)*e6;
m_QbarB = (2.0/9.0)*e2 + (2.0/5.0)*e4 + (4.0/7.0)*e6;
m_QbarC = - (3.0/25.0)*e4 - (12.0/35.0)*e6;
m_QbarD = (4.0/49.0)*e6;
m_Qp = getQ(M_PI/2);
m_E = 4 * M_PI * m_Qp * m_AE;
if (m_E < 0.0) m_E = -m_E;
}
double QgsDistanceArea::computePolygonArea(const QList<QgsPoint>& points)
{
double x1,y1,x2,y2,dx,dy;
double Qbar1, Qbar2;
double area;
QgsDebugMsg("Ellipsoid: " + mEllipsoid);
if ((! mProjectionsEnabled) || (mEllipsoid == "NONE"))
{
return computePolygonFlatArea(points);
}
int n = points.size();
x2 = DEG2RAD(points[n-1].x());
y2 = DEG2RAD(points[n-1].y());
Qbar2 = getQbar(y2);
area = 0.0;
for (int i = 0; i < n; i++)
{
x1 = x2;
y1 = y2;
Qbar1 = Qbar2;
x2 = DEG2RAD(points[i].x());
y2 = DEG2RAD(points[i].y());
Qbar2 = getQbar(y2);
if (x1 > x2)
while (x1 - x2 > M_PI)
x2 += m_TwoPI;
else if (x2 > x1)
while (x2 - x1 > M_PI)
x1 += m_TwoPI;
dx = x2 - x1;
area += dx * (m_Qp - getQ(y2));
if ((dy = y2 - y1) != 0.0)
area += dx * getQ(y2) - (dx/dy)*(Qbar2-Qbar1);
}
if((area *= m_AE) < 0.0)
area = -area;
/* kludge - if polygon circles the south pole the area will be
* computed as if it cirlced the north pole. The correction is
* the difference between total surface area of the earth and
* the "north pole" area.
*/
if (area > m_E) area = m_E;
if (area > m_E/2) area = m_E - area;
return area;
}
double QgsDistanceArea::computePolygonFlatArea(const QList<QgsPoint>& points)
{
// Normal plane area calculations.
double area = 0.0;
int i, size;
size = points.size();
// QgsDebugMsg("New area calc, nr of points: " + QString::number(size));
for(i = 0; i < size; i++)
{
// QgsDebugMsg("Area from point: " + (points[i]).stringRep(2));
// Using '% size', so that we always end with the starting point
// and thus close the polygon.
area = area + points[i].x()*points[(i+1) % size].y() - points[(i+1) % size].x()*points[i].y();
}
// QgsDebugMsg("Area from point: " + (points[i % size]).stringRep(2));
area = area / 2.0;
return fabs(area); // All areas are positive!
}
QString QgsDistanceArea::textUnit(double value, int decimals, QGis::units u, bool isArea)
{
QString unitLabel;
switch (u)
{
case QGis::METERS:
if (isArea)
{
if (fabs(value) > 1000000.0)
{
unitLabel = QObject::tr(" km2");
value = value / 1000000.0;
}
else if (fabs(value) > 10000.0)
{
unitLabel = QObject::tr(" ha");
value = value / 10000.0;
}
else
{
unitLabel = QObject::tr(" m2");
}
}
else
{
if (fabs(value) == 0.0)
{
// Special case for pretty printing.
unitLabel=QObject::tr(" m");
}
else if (fabs(value) > 1000.0)
{
unitLabel=QObject::tr(" km");
value = value/1000;
}
else if (fabs(value) < 0.01)
{
unitLabel=QObject::tr(" mm");
value = value*1000;
}
else if (fabs(value) < 0.1)
{
unitLabel=QObject::tr(" cm");
value = value*100;
}
else
{
unitLabel=QObject::tr(" m");
}
}
break;
case QGis::FEET:
if (isArea)
{
if (fabs(value) > (528.0*528.0))
{
unitLabel = QObject::tr(" sq mile");
value = value / (5280.0*5280.0);
}
else
{
unitLabel = QObject::tr(" sq ft");
}
}
else
{
if (fabs(value) > 528.0)
{
unitLabel = QObject::tr(" mile");
value = value / 5280.0;
}
else
{
if (fabs(value) == 1.0)
unitLabel=QObject::tr(" foot");
else
unitLabel=QObject::tr(" feet");
}
}
break;
case QGis::DEGREES:
if (isArea)
{
unitLabel = QObject::tr(" sq.deg.");
}
else
{
if (fabs(value) == 1.0)
unitLabel=QObject::tr(" degree");
else
unitLabel=QObject::tr(" degrees");
}
break;
case QGis::UNKNOWN:
unitLabel=QObject::tr(" unknown");
default:
std::cout << "Error: not picked up map units - actual value = "
<< u << std::endl;
};
return QLocale::system().toString(value, 'f', decimals) + unitLabel;
}