qgsscalecalculator.cpp

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/***************************************************************************
                              qgsscalecalculator.h
                 Calculates scale based on map extent and units
                              -------------------
  begin                : May 18, 2004
  copyright            : (C) 2004 by Gary E.Sherman
  email                : sherman at mrcc.com
 ***************************************************************************/
 
/***************************************************************************
 *                                                                         *
 *   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.                                   *
 *                                                                         *
 ***************************************************************************/
 
#include <cmath>
#include "qgslogger.h"
#include "qgsrectangle.h"
#include "qgsscalecalculator.h"
 
QgsScaleCalculator::QgsScaleCalculator( double dpi, QgsUnitTypes::DistanceUnit mapUnits )
  : mDpi( dpi )
  , mMapUnits( mapUnits )
{}
 
void QgsScaleCalculator::setDpi( double dpi )
{
  mDpi = dpi;
}
double QgsScaleCalculator::dpi()
{
  return mDpi;
}
 
void QgsScaleCalculator::setMapUnits( QgsUnitTypes::DistanceUnit mapUnits )
{
  QgsDebugMsgLevel( QStringLiteral( "Map units set to %1" ).arg( QString::number( mapUnits ) ), 3 );
  mMapUnits = mapUnits;
}
 
QgsUnitTypes::DistanceUnit QgsScaleCalculator::mapUnits() const
{
  QgsDebugMsgLevel( QStringLiteral( "Map units returned as %1" ).arg( QString::number( mMapUnits ) ), 4 );
  return mMapUnits;
}
 
double QgsScaleCalculator::calculate( const QgsRectangle &mapExtent, double canvasWidth )  const
{
  if ( qgsDoubleNear( canvasWidth, 0. ) || qgsDoubleNear( mDpi, 0.0 ) )
  {
    QgsDebugMsg( QStringLiteral( "Can't calculate scale from the input values" ) );
    return 0;
  }
 
  double conversionFactor = 0;
  double delta = 0;
  calculateMetrics( mapExtent, delta, conversionFactor );
 
  const double scale = ( delta * conversionFactor ) / ( static_cast< double >( canvasWidth ) / mDpi );
  QgsDebugMsgLevel( QStringLiteral( "scale = %1 conversionFactor = %2" ).arg( scale ).arg( conversionFactor ), 4 );
  return scale;
}
 
QSizeF QgsScaleCalculator::calculateImageSize( const QgsRectangle &mapExtent, double scale )  const
{
  if ( qgsDoubleNear( scale, 0.0 ) || qgsDoubleNear( mDpi, 0.0 ) )
  {
    QgsDebugMsg( QStringLiteral( "Can't calculate image size from the input values" ) );
    return QSizeF();
  }
  double conversionFactor = 0;
  double delta = 0;
 
  calculateMetrics( mapExtent, delta, conversionFactor );
  const double imageWidth = ( delta * conversionFactor ) / ( static_cast< double >( scale ) ) * mDpi;
  const double deltaHeight = ( mapExtent.yMaximum() - mapExtent.yMinimum() ) * delta / ( mapExtent.xMaximum() - mapExtent.xMinimum() );
  const double imageHeight = ( deltaHeight * conversionFactor ) / ( static_cast< double >( scale ) ) * mDpi;
 
  QgsDebugMsgLevel( QStringLiteral( "imageWidth = %1 imageHeight = %2 conversionFactor = %3" )
                    .arg( imageWidth ).arg( imageHeight ).arg( conversionFactor ), 4 );
 
  return QSizeF( imageWidth, imageHeight );
}
 
void QgsScaleCalculator::calculateMetrics( const QgsRectangle &mapExtent, double &delta, double &conversionFactor ) const
{
  delta = mapExtent.xMaximum() - mapExtent.xMinimum();
  switch ( mMapUnits )
  {
    case QgsUnitTypes::DistanceMeters:
      // convert meters to inches
      conversionFactor = 39.3700787;
      break;
    case QgsUnitTypes::DistanceFeet:
      conversionFactor = 12.0;
      break;
    case QgsUnitTypes::DistanceNauticalMiles:
      // convert nautical miles to inches
      conversionFactor = 72913.4;
      break;
    default:
    case QgsUnitTypes::DistanceDegrees:
      // degrees require conversion to meters first
      conversionFactor = 39.3700787;
      delta = calculateGeographicDistance( mapExtent );
      break;
  }
}
 
double QgsScaleCalculator::calculateGeographicDistance( const QgsRectangle &mapExtent ) const
{
  // need to calculate the x distance in meters
  // We'll use the middle latitude for the calculation
  // Note this is an approximation (although very close) but calculating scale
  // for geographic data over large extents is quasi-meaningless
 
  // The distance between two points on a sphere can be estimated
  // using the Haversine formula. This gives the shortest distance
  // between two points on the sphere. However, what we're after is
  // the distance from the left of the given extent and the right of
  // it. This is not necessarily the shortest distance between two
  // points on a sphere.
  //
  // The code below uses the Haversine formula, but with some changes
  // to cope with the above problem, and also to deal with the extent
  // possibly extending beyond +/-180 degrees:
  //
  // - Use the Halversine formula to calculate the distance from -90 to
  //   +90 degrees at the mean latitude.
  // - Scale this distance by the number of degrees between
  //   mapExtent.xMinimum() and mapExtent.xMaximum();
  // - For a slight improvemnt, allow for the ellipsoid shape of earth.
 
 
  // For a longitude change of 180 degrees
  const double lat = ( mapExtent.yMaximum() + mapExtent.yMinimum() ) * 0.5;
  static const double RADS = ( 4.0 * std::atan( 1.0 ) ) / 180.0;
  const double a = std::pow( std::cos( lat * RADS ), 2 );
  const double c = 2.0 * std::atan2( std::sqrt( a ), std::sqrt( 1.0 - a ) );
  static const double RA = 6378000; // [m]
  // The eccentricity. This comes from sqrt(1.0 - rb*rb/(ra*ra)) with rb set
  // to 6357000 m.
  static const double E = 0.0810820288;
  const double radius = RA * ( 1.0 - E * E ) /
                        std::pow( 1.0 - E * E * std::sin( lat * RADS ) * std::sin( lat * RADS ), 1.5 );
  const double meters = ( mapExtent.xMaximum() - mapExtent.xMinimum() ) / 180.0 * radius * c;
 
  QgsDebugMsgLevel( "Distance across map extent (m): " + QString::number( meters ), 4 );
 
  return meters;
}