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📄 ntfstroke.cpp

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/****************************************************************************** * $Id: ntfstroke.cpp 10646 2007-01-18 02:38:10Z warmerdam $ * * Project:  NTF Translator * Purpose:  NTF Arc to polyline stroking code.  This code is really generic, *           and might be moved into an OGR module at some point in the *           future. * Author:   Frank Warmerdam, warmerdam@pobox.com * ****************************************************************************** * Copyright (c) 2001, Frank Warmerdam * * Permission is hereby granted, free of charge, to any person obtaining a * copy of this software and associated documentation files (the "Software"), * to deal in the Software without restriction, including without limitation * the rights to use, copy, modify, merge, publish, distribute, sublicense, * and/or sell copies of the Software, and to permit persons to whom the * Software is furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included * in all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER * DEALINGS IN THE SOFTWARE. ****************************************************************************/#include <stdarg.h>#include "ntf.h"#include "cpl_conv.h"#include "cpl_string.h"CPL_CVSID("$Id: ntfstroke.cpp 10646 2007-01-18 02:38:10Z warmerdam $");#ifndef PI#define PI  3.14159265358979323846#endif/************************************************************************//*                     NTFArcCenterFromEdgePoints()                     *//*                                                                      *//*      Compute the center of an arc/circle from three edge points.     *//************************************************************************/int NTFArcCenterFromEdgePoints( double x_c0, double y_c0,                                double x_c1, double y_c1,                                 double x_c2, double y_c2,                                 double *x_center, double *y_center ){/* -------------------------------------------------------------------- *//*      Handle a degenerate case that occurs in OSNI products by        *//*      making some assumptions.  If the first and third points are     *//*      the same assume they are intended to define a full circle,      *//*      and that the second point is on the opposite side of the        *//*      circle.                                                         *//* -------------------------------------------------------------------- */    if( x_c0 == x_c2 && y_c0 == y_c2 )    {        *x_center = (x_c0 + x_c1) * 0.5;        *y_center = (y_c0 + y_c1) * 0.5;        return TRUE;    }/* -------------------------------------------------------------------- *//*      Compute the inverse of the slopes connecting the first and      *//*      second points.  Also compute the center point of the two        *//*      lines ... the point our crossing line will go through.          *//* -------------------------------------------------------------------- */    double m1, x1, y1;    if( (y_c1 - y_c0) != 0.0 )        m1 = (x_c0 - x_c1) / (y_c1 - y_c0);    else        m1 = 1e+10;    x1 = (x_c0 + x_c1) * 0.5;    y1 = (y_c0 + y_c1) * 0.5;/* -------------------------------------------------------------------- *//*      Compute the same for the second point compared to the third     *//*      point.                                                          *//* -------------------------------------------------------------------- */    double m2, x2, y2;    if( (y_c2 - y_c1) != 0.0 )        m2 = (x_c1 - x_c2) / (y_c2 - y_c1);    else        m2 = 1e+10;    x2 = (x_c1 + x_c2) * 0.5;    y2 = (y_c1 + y_c2) * 0.5;/* -------------------------------------------------------------------- *//*      Turn these into the Ax+By+C = 0 form of the lines.              *//* -------------------------------------------------------------------- */    double      a1, a2, b1, b2, c1, c2;    a1 = m1;    a2 = m2;    b1 = -1.0;    b2 = -1.0;        c1 = (y1 - m1*x1);    c2 = (y2 - m2*x2);    /* -------------------------------------------------------------------- *//*      Compute the intersection of the two lines through the center    *//*      of the circle, using Kramers rule.                              *//* -------------------------------------------------------------------- */    double      det_inv;    if( a1*b2 - a2*b1 == 0.0 )        return FALSE;    det_inv = 1 / (a1*b2 - a2*b1);    *x_center = (b1*c2 - b2*c1) * det_inv;    *y_center = (a2*c1 - a1*c2) * det_inv;    return TRUE;}/************************************************************************//*                  NTFStrokeArcToOGRGeometry_Points()                  *//************************************************************************/OGRGeometry *NTFStrokeArcToOGRGeometry_Points( double dfStartX, double dfStartY,                                  double dfAlongX, double dfAlongY,                                  double dfEndX, double dfEndY,                                  int nVertexCount )    {    double      dfStartAngle, dfEndAngle, dfAlongAngle;    double      dfCenterX, dfCenterY, dfRadius;    if( !NTFArcCenterFromEdgePoints( dfStartX, dfStartY, dfAlongX, dfAlongY,                                      dfEndX, dfEndY, &dfCenterX, &dfCenterY ) )        return NULL;    if( dfStartX == dfEndX && dfStartY == dfEndY )    {        dfStartAngle = 0.0;        dfEndAngle = 360.0;    }    else    {        double  dfDeltaX, dfDeltaY;        dfDeltaX = dfStartX - dfCenterX;        dfDeltaY = dfStartY - dfCenterY;        dfStartAngle = atan2(dfDeltaY,dfDeltaX) * 180.0 / PI;        dfDeltaX = dfAlongX - dfCenterX;        dfDeltaY = dfAlongY - dfCenterY;        dfAlongAngle = atan2(dfDeltaY,dfDeltaX) * 180.0 / PI;        dfDeltaX = dfEndX - dfCenterX;        dfDeltaY = dfEndY - dfCenterY;        dfEndAngle = atan2(dfDeltaY,dfDeltaX) * 180.0 / PI;#ifdef notdef        if( dfStartAngle > dfAlongAngle && dfAlongAngle > dfEndAngle )        {            double dfTempAngle;            dfTempAngle = dfStartAngle;            dfStartAngle = dfEndAngle;            dfEndAngle = dfTempAngle;        }#endif        while( dfAlongAngle < dfStartAngle )            dfAlongAngle += 360.0;        while( dfEndAngle < dfAlongAngle )            dfEndAngle += 360.0;        if( dfEndAngle - dfStartAngle > 360.0 )        {            double dfTempAngle;            dfTempAngle = dfStartAngle;            dfStartAngle = dfEndAngle;            dfEndAngle = dfTempAngle;            while( dfEndAngle < dfStartAngle )                dfStartAngle -= 360.0;        }    }    dfRadius = sqrt( (dfCenterX - dfStartX) * (dfCenterX - dfStartX)                     + (dfCenterY - dfStartY) * (dfCenterY - dfStartY) );        return NTFStrokeArcToOGRGeometry_Angles( dfCenterX, dfCenterY,                                              dfRadius,                                              dfStartAngle, dfEndAngle,                                             nVertexCount );}/************************************************************************//*                  NTFStrokeArcToOGRGeometry_Angles()                  *//************************************************************************/OGRGeometry *NTFStrokeArcToOGRGeometry_Angles( double dfCenterX, double dfCenterY,                                   double dfRadius,                                   double dfStartAngle, double dfEndAngle,                                  int nVertexCount ){    OGRLineString      *poLine = new OGRLineString;    double             dfArcX, dfArcY, dfSlice;    int                iPoint;    nVertexCount = MAX(2,nVertexCount);    dfSlice = (dfEndAngle-dfStartAngle)/(nVertexCount-1);    poLine->setNumPoints( nVertexCount );            for( iPoint=0; iPoint < nVertexCount; iPoint++ )    {        double      dfAngle;        dfAngle = (dfStartAngle + iPoint * dfSlice) * PI / 180.0;                    dfArcX = dfCenterX + cos(dfAngle) * dfRadius;        dfArcY = dfCenterY + sin(dfAngle) * dfRadius;        poLine->setPoint( iPoint, dfArcX, dfArcY );    }    return poLine;}

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