ResInsight/ApplicationCode/Application/Tools/RiaSCurveCalculator.cpp

697 lines
29 KiB
C++

/////////////////////////////////////////////////////////////////////////////////
//
// 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.
//
/////////////////////////////////////////////////////////////////////////////////
#include "RiaSCurveCalculator.h"
#include "RiaOffshoreSphericalCoords.h"
#include "SolveSpaceSystem.h"
#include <cmath>
#include "cvfMatrix4.h"
#include <iostream>
#include <algorithm>
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
RiaSCurveCalculator::RiaSCurveCalculator(cvf::Vec3d p1, double azi1, double inc1, double rad1,
cvf::Vec3d p2, double azi2, double inc2, double rad2)
: m_isCalculationOK(false)
, m_p1(p1)
, m_p2(p2)
, m_firstArcEndpoint(p1 + 0.3*(p2-p1))
, m_secondArcStartpoint(p1 + 0.6*(p2-p1))
, m_r1(rad1)
, m_r2(rad2)
{
// Estimate
double est_p_c1x = 10.0;
double est_p_c1y = 2.0;
double est_p_p11x = 2.0;
double est_p_p11y = -10.0;
double est_p_c2x = 10.0;
double est_p_c2y = 2.0;
double est_p_p22x = 2.0;
double est_p_p22y = -10.0;
double est_p_Plane1Qw = 0.0;
double est_p_Plane1Qx = 0.0;
double est_p_Plane1Qy = 0.0;
double est_p_Plane1Qz = 0.0;
double est_p_Plane2Qw = 0.0;
double est_p_Plane2Qx = 0.0;
double est_p_Plane2Qy = 0.0;
double est_p_Plane2Qz = 0.0;
Slvs_MakeQuaternion(1, 0, 0,
0, 1, 0,
&est_p_Plane1Qw,
&est_p_Plane1Qx,
&est_p_Plane1Qy,
&est_p_Plane1Qz);
Slvs_MakeQuaternion(1, 0, 0,
0, 1, 0,
&est_p_Plane2Qw,
&est_p_Plane2Qx,
&est_p_Plane2Qy,
&est_p_Plane2Qz);
double est_rad1 = rad1;
double est_rad2 = rad2;
if (true)
{
cvf::Vec3d p1p2 = p2 - p1;
double p1p2Length = (p1p2).length();
RiaSCurveCalculator estimatedCurveCalc = RiaSCurveCalculator::fromTangentsAndLength(p1, azi1, inc1, 0.2 * p1p2Length,
p2, azi2, inc2, 0.2 * p1p2Length);
est_rad1 = estimatedCurveCalc.firstRadius() ;
est_rad2 = estimatedCurveCalc.secondRadius();
if (est_rad1 >= 1e10 || est_rad2 >= 1e10)
{
return;
}
#if 1
std::cout << "Estimate:" << std::endl;
estimatedCurveCalc.dump();
#endif
cvf::Vec3d t1(RiaOffshoreSphericalCoords::unitVectorFromAziInc(azi1,inc1));
cvf::Vec3d t2(RiaOffshoreSphericalCoords::unitVectorFromAziInc(azi2,inc2));
cvf::Vec3d est_tp1c1 = (estimatedCurveCalc.firstCenter() - p1).getNormalized();
cvf::Vec3d est_tp2c2 = (estimatedCurveCalc.secondCenter() - p2).getNormalized();
cvf::Mat4d mx1 = cvf::Mat4d::fromCoordSystemAxes(&t1, &est_tp1c1, nullptr );
mx1.setTranslation(p1);
cvf::Vec3d est_p11 = estimatedCurveCalc.firstArcEndpoint();
est_p11.transformPoint(mx1.getInverted());
CVF_ASSERT(fabs(est_p11.z()) < 1e-4 );
cvf::Mat4d mx2 = cvf::Mat4d::fromCoordSystemAxes(&t2, &est_tp2c2, nullptr );
mx2.setTranslation(p2);
cvf::Vec3d est_p22 = estimatedCurveCalc.secondArcStartpoint();
est_p22.transformPoint(mx2.getInverted());
CVF_ASSERT(fabs(est_p22.z()) < 1e-4 );
est_p_c1x = 0.0;
est_p_c1y = estimatedCurveCalc.m_r1;
est_p_p11x = est_p11.x();
est_p_p11y = est_p11.y();
est_p_c2x = 0.0;
est_p_c2y = estimatedCurveCalc.m_r2;
est_p_p22x = est_p22.x();
est_p_p22y = est_p22.y();
Slvs_MakeQuaternion(t1.x(), t1.y(), t1.z(),
est_tp1c1.x(), est_tp1c1.y(), est_tp1c1.z(),
&est_p_Plane1Qw, &est_p_Plane1Qx, &est_p_Plane1Qy, &est_p_Plane1Qz);
Slvs_MakeQuaternion(t2.x(), t2.y(), t2.z(),
est_tp2c2.x(), est_tp2c2.y(), est_tp2c2.z(),
&est_p_Plane2Qw, &est_p_Plane2Qx, &est_p_Plane2Qy, &est_p_Plane2Qz);
}
//
SolveSpaceSystem sys;
Slvs_hGroup group1 = 1;
Slvs_hGroup group2 = 2;
///////////////////////////////////////////////////////////////////////////
// Group 1, Fixed
// P1
Slvs_hParam p_p1x = sys.addParam(Slvs_MakeParam(-1, group1, p1.x()));
Slvs_hParam p_p1y = sys.addParam(Slvs_MakeParam(-1, group1, p1.y()));
Slvs_hParam p_p1z = sys.addParam(Slvs_MakeParam(-1, group1, p1.z()));
Slvs_hEntity e_P1 = sys.addEntity(Slvs_MakePoint3d(-1, group1, p_p1x, p_p1y, p_p1z));
// PT1
double pt1x = p1.x() + sin(azi1)*sin(inc1);
double pt1y = p1.y() + cos(azi1)*sin(inc1);
double pt1z = p1.z() - cos(inc1);
Slvs_hParam p_pt1x = sys.addParam(Slvs_MakeParam(-1, group1, pt1x));
Slvs_hParam p_pt1y = sys.addParam(Slvs_MakeParam(-1, group1, pt1y));
Slvs_hParam p_pt1z = sys.addParam(Slvs_MakeParam(-1, group1, pt1z));
Slvs_hEntity e_PT1 = sys.addEntity(Slvs_MakePoint3d(-1, group1, p_pt1x, p_pt1y, p_pt1z));
// Tangent Line 1
Slvs_hEntity e_LT1 = sys.addEntity(Slvs_MakeLineSegment(-1, group1, SLVS_FREE_IN_3D, e_P1, e_PT1));
// P2
Slvs_hParam p_p2x = sys.addParam(Slvs_MakeParam(-1, group1, p2.x()));
Slvs_hParam p_p2y = sys.addParam(Slvs_MakeParam(-1, group1, p2.y()));
Slvs_hParam p_p2z = sys.addParam(Slvs_MakeParam(-1, group1, p2.z()));
Slvs_hEntity e_P2 = sys.addEntity(Slvs_MakePoint3d(-1, group1, p_p2x, p_p2y, p_p2z));
// PT2
double pt2x = p2.x() + sin(azi2)*sin(inc2);
double pt2y = p2.y() + cos(azi2)*sin(inc2);
double pt2z = p2.z() - cos(inc2);
Slvs_hParam p_pt2x = sys.addParam(Slvs_MakeParam(-1, group1, pt2x));
Slvs_hParam p_pt2y = sys.addParam(Slvs_MakeParam(-1, group1, pt2y));
Slvs_hParam p_pt2z = sys.addParam(Slvs_MakeParam(-1, group1, pt2z));
Slvs_hEntity e_PT2 = sys.addEntity(Slvs_MakePoint3d(-1, group1, p_pt2x, p_pt2y, p_pt2z));
// Tangent Line 2
Slvs_hEntity e_LT2 = sys.addEntity(Slvs_MakeLineSegment(-1, group1, SLVS_FREE_IN_3D, e_P2, e_PT2));
//
/////////////////////////////////////////////////////////////////////////
// Plane1
// Plane 1
Slvs_hParam p_Plane1Qw = sys.addParam(Slvs_MakeParam(-1, group2, est_p_Plane1Qw));
Slvs_hParam p_Plane1Qx = sys.addParam(Slvs_MakeParam(-1, group2, est_p_Plane1Qx));
Slvs_hParam p_Plane1Qy = sys.addParam(Slvs_MakeParam(-1, group2, est_p_Plane1Qy));
Slvs_hParam p_Plane1Qz = sys.addParam(Slvs_MakeParam(-1, group2, est_p_Plane1Qz));
Slvs_hEntity e_Plane1Q = sys.addEntity(Slvs_MakeNormal3d(-1, group2,
p_Plane1Qw,
p_Plane1Qx,
p_Plane1Qy,
p_Plane1Qz));
Slvs_hEntity e_Plane1 = sys.addEntity(Slvs_MakeWorkplane(-1, group2, e_P1, e_Plane1Q));
Slvs_hConstraint c_PT1Plane1 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_PT_IN_PLANE,
SLVS_FREE_IN_3D,
0.0,
e_PT1,
-1,
e_Plane1,
-1));
// Arc1 center
Slvs_hParam p_c1x = sys.addParam(Slvs_MakeParam(-1, group2, est_p_c1x)); // Needs a better guess
Slvs_hParam p_c1y = sys.addParam(Slvs_MakeParam(-1, group2, est_p_c1y));
Slvs_hEntity e_C1 = sys.addEntity(Slvs_MakePoint2d(-1, group2, e_Plane1, p_c1x, p_c1y));
Slvs_hEntity e_LP1C1 = sys.addEntity(Slvs_MakeLineSegment(-1, group2, e_Plane1, e_P1, e_C1));
Slvs_hConstraint c_perpT1_LP1C1 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_PERPENDICULAR,
e_Plane1,
0.0,
-1,
-1,
e_LT1,
e_LP1C1));
Slvs_hConstraint c_dist_P1C1 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_PT_PT_DISTANCE,
e_Plane1,
est_rad1,
e_P1,
e_C1,
-1,
-1));
// Arc1 end
Slvs_hParam p_p11x = sys.addParam(Slvs_MakeParam(-1, group2, est_p_p11x)); // Needs a better guess: Perp on p_c1x/p_c1y
Slvs_hParam p_p11y = sys.addParam(Slvs_MakeParam(-1, group2, est_p_p11y));
Slvs_hEntity e_P11 = sys.addEntity(Slvs_MakePoint2d(-1, group2, e_Plane1, p_p11x, p_p11y));
Slvs_hEntity e_LC1P11 = sys.addEntity(Slvs_MakeLineSegment(-1, group2, e_Plane1, e_C1, e_P11));
Slvs_hConstraint c_dist_C1P11 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_EQUAL_LENGTH_LINES,
e_Plane1,
0.0,
-1,
-1,
e_LP1C1,
e_LC1P11));
// Plane 2
Slvs_hParam p_Plane2Qw = sys.addParam(Slvs_MakeParam(-1, group2, est_p_Plane2Qw));
Slvs_hParam p_Plane2Qx = sys.addParam(Slvs_MakeParam(-1, group2, est_p_Plane2Qx));
Slvs_hParam p_Plane2Qy = sys.addParam(Slvs_MakeParam(-1, group2, est_p_Plane2Qy));
Slvs_hParam p_Plane2Qz = sys.addParam(Slvs_MakeParam(-1, group2, est_p_Plane2Qz));
Slvs_hEntity e_Plane2Q = sys.addEntity(Slvs_MakeNormal3d(-1, group2,
p_Plane2Qw,
p_Plane2Qx,
p_Plane2Qy,
p_Plane2Qz));
Slvs_hEntity e_Plane2 = sys.addEntity(Slvs_MakeWorkplane(-1, group2, e_P2, e_Plane2Q));
Slvs_hConstraint c_PT2Plane2 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_PT_IN_PLANE,
SLVS_FREE_IN_3D,
0.0,
e_PT2,
-1,
e_Plane2,
-1));
// Arc2 center
Slvs_hParam p_c2x = sys.addParam(Slvs_MakeParam(-1, group2, est_p_c2x));
Slvs_hParam p_c2y = sys.addParam(Slvs_MakeParam(-1, group2, est_p_c2y));
Slvs_hEntity e_C2 = sys.addEntity(Slvs_MakePoint2d(-1, group2, e_Plane2, p_c2x, p_c2y));
Slvs_hEntity e_LP2C2 = sys.addEntity(Slvs_MakeLineSegment(-1, group2, e_Plane2, e_P2, e_C2));
Slvs_hConstraint c_perpT2_LP2C2 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_PERPENDICULAR,
e_Plane2,
0.0,
-1,
-1,
e_LT2,
e_LP2C2));
Slvs_hConstraint c_dist_P2C2 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_PT_PT_DISTANCE,
e_Plane2,
est_rad2,
e_P2,
e_C2,
-1,
-1));
// Arc2 end
Slvs_hParam p_p22x = sys.addParam(Slvs_MakeParam(-1, group2, est_p_p22x)); // Needs a better guess: Perp on p_c1x/p_c1y
Slvs_hParam p_p22y = sys.addParam(Slvs_MakeParam(-1, group2, est_p_p22y));
Slvs_hEntity e_P22 = sys.addEntity(Slvs_MakePoint2d(-1, group2, e_Plane2, p_p22x, p_p22y));
Slvs_hEntity e_LC2P22 = sys.addEntity(Slvs_MakeLineSegment(-1, group2, e_Plane2, e_C2, e_P22));
Slvs_hConstraint c_dist_C2P22 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_EQUAL_LENGTH_LINES,
e_Plane2,
0.0,
-1,
-1,
e_LP2C2,
e_LC2P22));
SolveSpaceSystem::ResultStatus solveResult;
#if 0
solveResult = sys.solve(group2, true);
if(solveResult != SolveSpaceSystem::RESULT_OKAY)
{
return;
}
#endif
// Connecting the two planes
// Connecting line
Slvs_hEntity e_LP11P22 = sys.addEntity(Slvs_MakeLineSegment(-1, group2, SLVS_FREE_IN_3D, e_P11, e_P22));
// Perpendicular constraints
Slvs_hConstraint c_perpC1P11_LP11P22 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_PERPENDICULAR,
SLVS_FREE_IN_3D,
0.0,
-1,
-1,
e_LC1P11,
e_LP11P22));
#if 0
solveResult = sys.solve(group2, true);
if(solveResult != SolveSpaceSystem::RESULT_OKAY)
{
return;
}
#endif
Slvs_hConstraint c_perpC2P22_LP11P22 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_PERPENDICULAR,
SLVS_FREE_IN_3D,
0.0,
-1,
-1,
e_LC2P22,
e_LP11P22));
#if 0
solveResult = sys.solve(group2, true);
if(solveResult != SolveSpaceSystem::RESULT_OKAY)
{
return;
}
#endif
// P11, P22 in plane constraints
Slvs_hConstraint c_P11InPlane2 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_PT_IN_PLANE,
SLVS_FREE_IN_3D,
0.0,
e_P11,
-1,
e_Plane2,
-1));
#if 0
solveResult = sys.solve(group2, true);
if(solveResult != SolveSpaceSystem::RESULT_OKAY)
{
return;
}
#endif
Slvs_hConstraint c_P22InPlane1 = sys.addConstr(Slvs_MakeConstraint(-1,
group2,
SLVS_C_PT_IN_PLANE,
SLVS_FREE_IN_3D,
0.0,
e_P22,
-1,
e_Plane1,
-1));
m_isCalculationOK = true;
#if 0
std::cout << std::endl;
for ( int iter = 0; iter < 2; ++iter )
{
double newRad1 = est_rad1 - iter*1.0*(est_rad1 - rad1);
double newRad2 = est_rad2 - iter*1.0*(est_rad2 - rad2);
sys.constraint(c_dist_P1C1).valA = newRad1;
sys.constraint(c_dist_P2C2).valA = newRad2;
solveResult = sys.solve(group2, true);
if ( solveResult != SolveSpaceSystem::RESULT_OKAY )
{
std::cout << std::endl;
m_isCalculationOK = false;
if (iter > 0)
break;
else
return;
}
std::cout << iter ;
}
std::cout << std::endl;
#else
std::cout << std::endl;
// Initial solve using the precalculated estimated curve
solveResult = sys.solve(group2, true);
if ( solveResult != SolveSpaceSystem::RESULT_OKAY )
{
std::cout << std::endl;
m_isCalculationOK = false;
return;
}
// Change radius from estimate towards the radii provided in steps.
// Try all in one go first.
// if solution diverges, reduce step by half until the solution converges.
// Keep stepsize one step before trying to double it.
double currentRadius1 = est_rad1;
double currentRadius2 = est_rad2;
double nextStepR1 = rad1 - currentRadius1;
double nextStepR2 = rad2 - currentRadius2;
int iter = 0; int maxIter = 12;
bool isIncreaseStepOk = false;
bool hasReachedRadiusTargets = false;
while ( iter < maxIter
&& !hasReachedRadiusTargets )
{
double newRad1 = currentRadius1 + nextStepR1;
double newRad2 = currentRadius2 + nextStepR2;
sys.constraint(c_dist_P1C1).valA = newRad1;
sys.constraint(c_dist_P2C2).valA = newRad2;
solveResult = sys.solve(group2, true);
iter++;
std::cout << iter ;
if ( solveResult != SolveSpaceSystem::RESULT_OKAY )
{
nextStepR1 = 0.5* nextStepR1;
nextStepR2 = 0.5* nextStepR2;
isIncreaseStepOk = false;
std::cout << "-";
}
else
{
currentRadius1 = newRad1;
currentRadius2 = newRad2;
if ( isIncreaseStepOk )
{
nextStepR1 = std::min(2*nextStepR1, rad1 - currentRadius1);
nextStepR2 = std::min(2*nextStepR2, rad2 - currentRadius2);
std::cout << "++";
}
else
{
nextStepR1 = std::min(nextStepR1, rad1 - currentRadius1);
nextStepR2 = std::min(nextStepR2, rad2 - currentRadius2);
isIncreaseStepOk = true;
std::cout << "+";
}
}
hasReachedRadiusTargets = ( fabs(currentRadius1 - rad1) < 1e-5
&& fabs(currentRadius2 - rad2) < 1e-5);
}
m_isCalculationOK = (hasReachedRadiusTargets && solveResult == SolveSpaceSystem::RESULT_OKAY);
std::cout << std::endl;
#endif
// Circle Center, Plane normals, P11, P22
std::valarray<double> v_C1 = sys.global3DPos(e_C1);
m_c1[0] = v_C1[0];
m_c1[1] = v_C1[1];
m_c1[2] = v_C1[2];
std::valarray<double> v_C2 = sys.global3DPos(e_C2);
m_c2[0] = v_C2[0];
m_c2[1] = v_C2[1];
m_c2[2] = v_C2[2];
std::valarray<double> v_N1 = std::get<2>(sys.orientationMx(e_Plane1Q));
m_n1[0] = v_N1[0];
m_n1[1] = v_N1[1];
m_n1[2] = v_N1[2];
std::valarray<double> v_N2 = std::get<2>(sys.orientationMx(e_Plane2Q));
m_n2[0] = v_N2[0];
m_n2[1] = v_N2[1];
m_n2[2] = v_N2[2];
std::valarray<double> v_P11 = sys.global3DPos(e_P11);
m_firstArcEndpoint[0] = v_P11[0];
m_firstArcEndpoint[1] = v_P11[1];
m_firstArcEndpoint[2] = v_P11[2];
std::valarray<double> v_P22 = sys.global3DPos(e_P22);
m_secondArcStartpoint[0] = v_P22[0];
m_secondArcStartpoint[1] = v_P22[1];
m_secondArcStartpoint[2] = v_P22[2];
m_r1 = (m_c1 - m_p1).length();
m_r2 = (m_c2 - m_p2).length();
// Validate solution
// Normal1 x C1P11 == tP11P22
// Normal2 x C2P22 == tP11P22
cvf::Vec3d tP11P22 = (m_secondArcStartpoint - m_firstArcEndpoint).getNormalized();
double error1 = ((m_n1 ^ (m_firstArcEndpoint - m_c1).getNormalized() ) - tP11P22).lengthSquared();
double error2 = ((m_n2 ^ (m_secondArcStartpoint - m_c2).getNormalized() ) - tP11P22).lengthSquared();
if ( error1 > 1e-9 && error2 > 1e-9 )
{
// Solution is invalid. The line is not continuing the arcs in the right direction
m_isCalculationOK = false;
}
}
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
RiaSCurveCalculator::RiaSCurveCalculator(cvf::Vec3d p1, cvf::Vec3d q1,
cvf::Vec3d p2, cvf::Vec3d q2)
: m_isCalculationOK(true)
, m_p1(p1)
, m_p2(p2)
{
using Vec3d = cvf::Vec3d;
bool isOk = true;
m_isCalculationOK = true;
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.
m_isCalculationOK = m_isCalculationOK && isOk;
Vec3d t1 = (q1 - p1).getNormalized(&isOk); // !ok means no tangent specified. Could fallback to use only one circle segment + one line.
m_isCalculationOK = m_isCalculationOK && isOk;
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
m_isCalculationOK = m_isCalculationOK && isOk;
{
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();
}
}
{
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();
}
}
m_firstArcEndpoint = q1 + (q1 - p1).length() * tq1q2;
m_secondArcStartpoint = q2 - (q2 - p2).length() * tq1q2;
if (((q1 - p1).length() + (q2 - p2).length()) > (q2 - q1).length()) // first arc end and second arc start is overlapping
{
m_isCalculationOK = false;
}
// The Circle normals. Will be set to cvf::Vec3d::ZERO if undefined.
m_n1 = (t1 ^ tq1q2).getNormalized();
m_n2 = (tq1q2 ^ t2).getNormalized();
}
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
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;
}
//--------------------------------------------------------------------------------------------------
///
//--------------------------------------------------------------------------------------------------
RiaSCurveCalculator RiaSCurveCalculator::fromTangentsAndLength(cvf::Vec3d p1, double azi1, double inc1, double lengthToQ1,
cvf::Vec3d p2, double azi2, double inc2, double lengthToQ2)
{
cvf::Vec3d t1(RiaOffshoreSphericalCoords::unitVectorFromAziInc(azi1,inc1));
cvf::Vec3d t2(RiaOffshoreSphericalCoords::unitVectorFromAziInc(azi2,inc2));
cvf::Vec3d Q1 = p1 + lengthToQ1 * t1;
cvf::Vec3d Q2 = p2 - lengthToQ2 * t2;
RiaSCurveCalculator curveFromControlPoints(p1, Q1,
p2, Q2);
return curveFromControlPoints;
}