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/////////////////////////////////////////////////////////////////////////////////
//
// Copyright (C) 2018- Statoil ASA
//
// ResInsight 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 3 of the License, or
// (at your option) any later version.
//
// ResInsight is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or
// FITNESS FOR A PARTICULAR PURPOSE.
//
// See the GNU General Public License at <http://www.gnu.org/licenses/gpl.html>
// for more details.
//
/////////////////////////////////////////////////////////////////////////////////
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# include "RiaSCurveCalculator.h"
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# include "RiaOffshoreSphericalCoords.h"
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# include "cvfMatrix4.h"
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# include <cmath>
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# include <iostream>
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//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
RiaSCurveCalculator : : RiaSCurveCalculator ( cvf : : Vec3d p1 , double azi1 , double inc1 , double rad1 ,
cvf : : Vec3d p2 , double azi2 , double inc2 , double rad2 )
: m_isCalculationOK ( false )
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, m_p1 ( p1 )
, m_p2 ( p2 )
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, m_firstArcEndpoint ( p1 + 0.3 * ( p2 - p1 ) )
, m_secondArcStartpoint ( p1 + 0.6 * ( p2 - p1 ) )
, m_r1 ( rad1 )
, m_r2 ( rad2 )
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, m_ctrlPpointCurveStatus ( NOT_SET )
, m_solveStatus ( NOT_SOLVED )
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{
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initializeByFinding_q1q2 ( p1 , azi1 , inc1 , rad1 , p2 , azi2 , inc2 , rad2 ) ;
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}
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
RiaSCurveCalculator : : RiaSCurveCalculator ( cvf : : Vec3d p1 , cvf : : Vec3d q1 ,
cvf : : Vec3d p2 , cvf : : Vec3d q2 )
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: m_isCalculationOK ( true )
, m_p1 ( p1 )
, m_p2 ( p2 )
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, m_ctrlPpointCurveStatus ( NOT_SET )
, m_solveStatus ( NOT_SOLVED )
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{
using Vec3d = cvf : : Vec3d ;
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bool isOk = true ;
m_isCalculationOK = true ;
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Vec3d tq1q2 = ( q2 - q1 ) . getNormalized ( & isOk ) ; // !ok means the control points are in the same place. Could fallback to use only one circle segment + one line.
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m_isCalculationOK = m_isCalculationOK & & isOk ;
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Vec3d t1 = ( q1 - p1 ) . getNormalized ( & isOk ) ; // !ok means no tangent specified. Could fallback to use only one circle segment + one line.
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m_isCalculationOK = m_isCalculationOK & & isOk ;
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Vec3d t2 = ( p2 - q2 ) . getNormalized ( & isOk ) ; // !ok means no tangent specified. Could fallback to use only one circle segment + one line or only one straight line if both tangents are missing
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m_isCalculationOK = m_isCalculationOK & & isOk ;
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if ( ! m_isCalculationOK )
{
m_ctrlPpointCurveStatus = FAILED_INPUT_OVERLAP ;
}
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{
Vec3d td1 = ( tq1q2 - t1 ) ;
double td1Length = td1 . length ( ) ;
if ( td1Length > 1e-10 )
{
td1 / = td1Length ;
m_c1 = q1 + ( ( q1 - p1 ) . length ( ) / ( td1 * ( - t1 ) ) ) * td1 ;
m_r1 = ( m_c1 - p1 ) . length ( ) ;
}
else // both control points are along t1. First curve has infinite radius
{
m_c1 = cvf : : Vec3d : : UNDEFINED ;
m_r1 = std : : numeric_limits < double > : : infinity ( ) ;
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if ( m_ctrlPpointCurveStatus = = NOT_SET )
{
m_ctrlPpointCurveStatus = OK_INFINITE_RADIUS1 ;
}
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}
}
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{
Vec3d td2 = ( - tq1q2 + t2 ) ;
double td2Length = td2 . length ( ) ;
if ( td2Length > 1e-10 )
{
td2 / = td2Length ;
m_c2 = q2 + ( ( q2 - p2 ) . length ( ) / ( td2 * ( t2 ) ) ) * td2 ;
m_r2 = ( m_c2 - p2 ) . length ( ) ;
}
else // both control points are along t2. Second curve has infinite radius
{
m_c2 = cvf : : Vec3d : : UNDEFINED ;
m_r2 = std : : numeric_limits < double > : : infinity ( ) ;
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if ( m_ctrlPpointCurveStatus = = NOT_SET )
{
m_ctrlPpointCurveStatus = OK_INFINITE_RADIUS2 ;
}
else if ( m_ctrlPpointCurveStatus = = OK_INFINITE_RADIUS1 )
{
m_ctrlPpointCurveStatus = OK_INFINITE_RADIUS12 ;
}
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}
}
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m_firstArcEndpoint = q1 + ( q1 - p1 ) . length ( ) * tq1q2 ;
m_secondArcStartpoint = q2 - ( q2 - p2 ) . length ( ) * tq1q2 ;
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if ( ( ( q1 - p1 ) . length ( ) + ( q2 - p2 ) . length ( ) ) > ( q2 - q1 ) . length ( ) ) // first arc end and second arc start is overlapping
{
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m_ctrlPpointCurveStatus = FAILED_ARC_OVERLAP ;
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m_isCalculationOK = false ;
}
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if ( m_ctrlPpointCurveStatus = = NOT_SET )
{
m_ctrlPpointCurveStatus = OK ;
}
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// The Circle normals. Will be set to cvf::Vec3d::ZERO if undefined.
m_n1 = ( t1 ^ tq1q2 ) . getNormalized ( ) ;
m_n2 = ( tq1q2 ^ t2 ) . getNormalized ( ) ;
}
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//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
RiaSCurveCalculator RiaSCurveCalculator : : fromTangentsAndLength ( cvf : : Vec3d p1 , double azi1 , double inc1 , double lengthToQ1 ,
cvf : : Vec3d p2 , double azi2 , double inc2 , double lengthToQ2 )
{
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cvf : : Vec3d t1 ( RiaOffshoreSphericalCoords : : unitVectorFromAziInc ( azi1 , inc1 ) ) ;
cvf : : Vec3d t2 ( RiaOffshoreSphericalCoords : : unitVectorFromAziInc ( azi2 , inc2 ) ) ;
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cvf : : Vec3d Q1 = p1 + lengthToQ1 * t1 ;
cvf : : Vec3d Q2 = p2 - lengthToQ2 * t2 ;
RiaSCurveCalculator curveFromControlPoints ( p1 , Q1 ,
p2 , Q2 ) ;
return curveFromControlPoints ;
}
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//--------------------------------------------------------------------------------------------------
///
/// Needs to calculate J^-1 * [R1_error, R2_error]
/// | dR1_dq1 dR1_dq2 | 1 | dR2_dq2 -dR1_dq2 |
/// J = | | J^-1 = ---------------------------------- | |
/// | dR2_dq1 dR2_dq2 | dR1_dq1*dR2_dq2 - dR1_dq2*dR2_dq1 | -dR2_dq1 dR1_dq1 |
///
/// | q1_step | | R1_Error |
/// | | = - J^-1 | |
/// | q2_step | | R2_Error |
///
//--------------------------------------------------------------------------------------------------
void calculateNewStepsFromJacobi ( double dR1_dq1 , double dR1_dq2 ,
double dR2_dq1 , double dR2_dq2 ,
double R1_error ,
double R2_error ,
double * newStepq1 ,
double * newStepq2 )
{
double invJacobiScale = 1.0 / ( dR1_dq1 * dR2_dq2 - dR2_dq1 * dR1_dq2 ) ;
double invJacobi_R1q1 = invJacobiScale * dR2_dq2 ;
double invJacobi_R1q2 = invJacobiScale * - dR1_dq2 ;
double invJacobi_R2q1 = invJacobiScale * - dR2_dq1 ;
double invJacobi_R2q2 = invJacobiScale * dR1_dq1 ;
( * newStepq1 ) = - ( invJacobi_R1q1 * R1_error + invJacobi_R1q2 * R2_error ) ;
( * newStepq2 ) = - ( invJacobi_R2q1 * R1_error + invJacobi_R2q2 * R2_error ) ;
}
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//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
bool isZeroCrossing ( double newError , double oldError , double maxError )
{
if ( ( newError < - maxError & & maxError < oldError ) | | ( newError > maxError & & - maxError > oldError ) )
{
return true ;
}
return false ;
}
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//--------------------------------------------------------------------------------------------------
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///
/// Iterating with changing q1, q2 (lengths along tangent) to find solution with R1 = r1 and R2 = r2
/// R1(q1, q2), R2(q1, q2)
///
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//--------------------------------------------------------------------------------------------------
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void RiaSCurveCalculator : : initializeByFinding_q1q2 ( cvf : : Vec3d p1 , double azi1 , double inc1 , double r1 ,
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cvf : : Vec3d p2 , double azi2 , double inc2 , double r2 )
{
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// Algorithm options
const int maxIterations = 40 ;
const double maxError = 0.01 ;
const double closeError = 40 * maxError ;
const double maxStepSize = 1.0e9 ;
const double maxLengthToQ = 1.0e10 ;
bool enableBackstepping = false ;
//#define USE_JACOBI_UPDATE
//#define DEBUG_OUTPUT_ON
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// Needs the initial partial derivatives to see the direction of change
// dR1/dq1, dR1/dq2, dR2/dq1, dR2/dq2
// Selects a sensible point in the domain for the evaluation
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double p1p2Length = ( p2 - p1 ) . length ( ) ;
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double delta = 0.01 * p1p2Length ;
double initialq1q2 = 0.2 * p1p2Length ;
double deltaPos = initialq1q2 + delta ;
RiaSCurveCalculator ev_0 = RiaSCurveCalculator : : fromTangentsAndLength ( p1 , azi1 , inc1 , initialq1q2 ,
p2 , azi2 , inc2 , initialq1q2 ) ;
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if ( ev_0 . curveStatus ( ) = = RiaSCurveCalculator : : OK_INFINITE_RADIUS12 )
{
* this = ev_0 ;
this - > m_solveStatus = CONVERGED ;
return ;
} // Todo: Handle infinite radius in one place
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RiaSCurveCalculator ev_dq1 = RiaSCurveCalculator : : fromTangentsAndLength ( p1 , azi1 , inc1 , deltaPos ,
p2 , azi2 , inc2 , initialq1q2 ) ;
RiaSCurveCalculator ev_dq2 = RiaSCurveCalculator : : fromTangentsAndLength ( p1 , azi1 , inc1 , initialq1q2 ,
p2 , azi2 , inc2 , deltaPos ) ;
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// Initial Jacobi
double dR1_dq1 = ( ( r1 - ev_dq1 . firstRadius ( ) ) - ( r1 - ev_0 . firstRadius ( ) ) ) / delta ;
double dR2_dq2 = ( ( r2 - ev_dq2 . secondRadius ( ) ) - ( r2 - ev_0 . secondRadius ( ) ) ) / delta ;
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// Initial function value (error)
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double R1_error = r1 - ev_0 . firstRadius ( ) ;
double R2_error = r2 - ev_0 . secondRadius ( ) ;
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// First steps
double q1Step = - R1_error / dR1_dq1 ;
double q2Step = - R2_error / dR2_dq2 ;
# ifdef USE_JACOBI_UPDATE
double dR1_dq2 = ( ( r1 - ev_dq2 . firstRadius ( ) ) - ( r1 - ev_0 . firstRadius ( ) ) ) / delta ;
double dR2_dq1 = ( ( r2 - ev_dq1 . secondRadius ( ) ) - ( r2 - ev_0 . secondRadius ( ) ) ) / delta ;
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calculateNewStepsFromJacobi ( dR1_dq1 , dR1_dq2 ,
dR2_dq1 , dR2_dq2 ,
R1_error , R2_error ,
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& q1Step , & q2Step ) ;
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# endif
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double q1 = initialq1q2 ;
double q2 = initialq1q2 ;
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# ifdef DEBUG_OUTPUT_ON
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std : : cout < < std : : endl ;
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std : : cout < < " Targets: R1, R2: " < < r1 < < " , " < < r2 < < std : : endl ;
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std : : cout < < 0 < < " : " < < q1Step < < " , " < < q2Step
< < " : " < < q1 < < " , " < < q2 < < " | "
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< < ev_0 . isOk ( ) < < " : " < < ev_0 . firstRadius ( ) < < " , " < < ev_0 . secondRadius ( )
< < " : " < < R1_error < < " , " < < R2_error < < std : : endl ;
# endif
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SolveStatus solveResultStatus = NOT_SOLVED ;
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int backstepLevel = 0 ;
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int iteration = 1 ;
for ( iteration = 1 ; iteration < maxIterations ; + + iteration )
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{
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if ( fabs ( q1Step ) > maxStepSize | | fabs ( q2Step ) > maxStepSize )
{
solveResultStatus = FAILED_MAX_TANGENT_STEP_REACHED ;
break ;
}
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std : : string q1R1StepCorrMarker ;
std : : string q2R2StepCorrMarker ;
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if ( q1 + q1Step < 0 ) { q1Step = - 0.9 * q1 ; q1R1StepCorrMarker = " * " ; }
if ( q2 + q2Step < 0 ) { q2Step = - 0.9 * q2 ; q2R2StepCorrMarker = " * " ; }
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q1 + = q1Step ;
q2 + = q2Step ;
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if ( fabs ( q1 ) > maxLengthToQ | | fabs ( q2 ) > maxLengthToQ )
{
/// Max length along tangent reached
solveResultStatus = FAILED_MAX_LENGTH_ALONG_TANGENT_REACHED ;
break ;
}
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RiaSCurveCalculator ev_1 = RiaSCurveCalculator : : fromTangentsAndLength ( p1 , azi1 , inc1 , q1 ,
p2 , azi2 , inc2 , q2 ) ;
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double R1_error_new = r1 - ev_1 . firstRadius ( ) ;
double R2_error_new = r2 - ev_1 . secondRadius ( ) ;
# ifdef DEBUG_OUTPUT_ON
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std : : cout < < iteration < < " : " < < q1Step < < q1R1StepCorrMarker < < " , " < < q2Step < < q2R2StepCorrMarker
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< < " : " < < q1 < < " , " < < q2 < < " | "
< < ev_1 . isOk ( ) < < " : " < < ev_1 . firstRadius ( ) < < " , " < < ev_1 . secondRadius ( )
< < " : " < < R1_error_new < < " , " < < R2_error_new ;
# endif
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if ( ( fabs ( R1_error_new ) < maxError | | ev_1 . curveStatus ( ) = = OK_INFINITE_RADIUS1 )
& & ( fabs ( R2_error_new ) < maxError | | ev_1 . curveStatus ( ) = = OK_INFINITE_RADIUS2 ) )
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{
ev_0 = ev_1 ;
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// Result ok !
solveResultStatus = CONVERGED ;
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# ifdef DEBUG_OUTPUT_ON
std : : cout < < std : : endl ;
# endif
break ;
}
if ( enableBackstepping ) // Experimental back-stepping
{
bool isZeroCrossingR1 = isZeroCrossing ( R1_error_new , R1_error , maxError ) ;
bool isZeroCrossingR2 = isZeroCrossing ( R2_error_new , R2_error , maxError ) ;
if ( isZeroCrossingR2 | | isZeroCrossingR1 )
{
q1 - = q1Step ;
q2 - = q2Step ;
//if (isZeroCrossingR1)
q1Step = 0.9 * q1Step * fabs ( R1_error ) / ( fabs ( R1_error_new ) + fabs ( R1_error ) ) ;
//if (isZeroCrossingR2)
q2Step = 0.9 * q2Step * fabs ( R2_error ) / ( fabs ( R2_error_new ) + fabs ( R2_error ) ) ;
+ + backstepLevel ;
# ifdef DEBUG_OUTPUT_ON
std : : cout < < " Backstep needed. " < < std : : endl ;
# endif
continue ;
}
else
{
backstepLevel = 0 ;
}
}
# ifdef DEBUG_OUTPUT_ON
std : : cout < < std : : endl ;
# endif
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# ifdef USE_JACOBI_UPDATE
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/// Update Jacobi using Broyden
// (R_error_n-Rerror_n-1) - Jn-1*dq
// J_n = Jn-1 + --------------------------------- (dq)T
// | dqn |^2
//
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double dR1_error = R1_error_new - R1_error ;
double dR2_error = R2_error_new - R2_error ;
R1_error = R1_error_new ;
R2_error = R2_error_new ;
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double stepNormScale = 1.0 / ( q1Step * q1Step + q2Step * q2Step ) ;
dR1_dq1 = dR1_dq1 + stepNormScale * ( q1Step * ( dR1_error - q1Step * dR1_dq1 + q2Step * dR1_dq2 ) ) ;
dR1_dq2 = dR1_dq2 + stepNormScale * ( q2Step * ( dR1_error - q1Step * dR1_dq1 + q2Step * dR1_dq2 ) ) ;
dR2_dq1 = dR2_dq1 + stepNormScale * ( q1Step * ( dR2_error - q1Step * dR2_dq1 + q2Step * dR2_dq2 ) ) ;
dR2_dq2 = dR2_dq2 + stepNormScale * ( q2Step * ( dR2_error - q1Step * dR2_dq1 + q2Step * dR2_dq2 ) ) ;
calculateNewStepsFromJacobi ( dR1_dq1 , dR1_dq2 ,
dR2_dq1 , dR2_dq2 ,
R1_error , R2_error ,
& q1Step , & q2Step ) ;
# else
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dR1_dq1 = ( ( r1 - ev_1 . firstRadius ( ) ) - ( r1 - ev_0 . firstRadius ( ) ) ) / q1Step ;
dR2_dq2 = ( ( r2 - ev_1 . secondRadius ( ) ) - ( r2 - ev_0 . secondRadius ( ) ) ) / q2Step ;
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R1_error = R1_error_new ;
R2_error = R2_error_new ;
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q1Step = - R1_error / dR1_dq1 ;
q2Step = - R2_error / dR2_dq2 ;
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# endif
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ev_0 = ev_1 ;
}
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* this = ev_0 ;
if ( iteration > = maxIterations )
{
m_solveStatus = FAILED_MAX_ITERATIONS_REACHED ;
// Max iterations reached
}
else
{
m_solveStatus = solveResultStatus ;
}
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}
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//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
void RiaSCurveCalculator : : dump ( ) const
{
cvf : : Vec3d v_C1 = firstCenter ( ) ;
cvf : : Vec3d v_C2 = secondCenter ( ) ;
cvf : : Vec3d v_N1 = firstNormal ( ) ;
cvf : : Vec3d v_N2 = secondNormal ( ) ;
cvf : : Vec3d v_P11 = firstArcEndpoint ( ) ;
cvf : : Vec3d v_P22 = secondArcStartpoint ( ) ;
std : : cout < < " P1: " < < " [ " < < m_p1 [ 0 ] < < " " < < m_p1 [ 1 ] < < " " < < m_p1 [ 2 ] < < " " < < std : : endl ;
std : : cout < < " P11: " < < " [ " < < v_P11 [ 0 ] < < " " < < v_P11 [ 1 ] < < " " < < v_P11 [ 2 ] < < " " < < std : : endl ;
std : : cout < < " P22: " < < " [ " < < v_P22 [ 0 ] < < " " < < v_P22 [ 1 ] < < " " < < v_P22 [ 2 ] < < " " < < std : : endl ;
std : : cout < < " P2: " < < " [ " < < m_p2 [ 0 ] < < " " < < m_p2 [ 1 ] < < " " < < m_p2 [ 2 ] < < " " < < std : : endl ;
std : : cout < < " C1: " < < " [ " < < v_C1 [ 0 ] < < " " < < v_C1 [ 1 ] < < " " < < v_C1 [ 2 ] < < " " < < std : : endl ;
std : : cout < < " C2: " < < " [ " < < v_C2 [ 0 ] < < " " < < v_C2 [ 1 ] < < " " < < v_C2 [ 2 ] < < " " < < std : : endl ;
std : : cout < < " N1: " < < " [ " < < v_N1 [ 0 ] < < " " < < v_N1 [ 1 ] < < " " < < v_N1 [ 2 ] < < " " < < std : : endl ;
std : : cout < < " N2: " < < " [ " < < v_N2 [ 0 ] < < " " < < v_N2 [ 1 ] < < " " < < v_N2 [ 2 ] < < " " < < std : : endl ;
std : : cout < < " R1: " < < " [ " < < firstRadius ( ) < < " ] " < < std : : endl ;
std : : cout < < " R2: " < < " [ " < < secondRadius ( ) < < " ] " < < std : : endl ;
std : : cout < < " CtrPointStatus: " < < m_ctrlPpointCurveStatus < < " SolveStatus: " < < m_solveStatus < < std : : endl ;
}