source: cpp/frams/model/geometry/meshbuilder.cpp @ 229

// This file is a part of the Framsticks GDK.
// Copyright (C) 2002-2014  Maciej Komosinski and Szymon Ulatowski.  See LICENSE.txt for details.
// Refer to http://www.framsticks.com/ for further information.

#include "meshbuilder.h"

#include <frams/model/geometry/modelgeometryinfo.h>
#include <stdio.h>
#include <math.h>

MeshBuilder::Iterator::Iterator(const double _density):
        density(_density)
{}

double MeshBuilder::Iterator::getDensity() const
{
        return density;
}

double MeshBuilder::Iterator::setDensity(const double _density)
{
        density = _density;
}

void MeshBuilder::Iterator::forEach(Callback &callback)
{
        Pt3D point;
        
        while (tryGetNext(point))
        {
                callback(point);
        }
}

void MeshBuilder::Iterator::addAllPointsToList(SListTempl<Pt3D> &list)
{
        Pt3D point;
        
        while (tryGetNext(point))
        {
                list += point;
        }
}



MeshBuilder::Segment::Segment(const double _density):
        Iterator(_density), point1(0), point2(0), i(0), I(0), numberOfPoints(0)
{}

void MeshBuilder::Segment::initialize(const Pt3D &point1, const Pt3D &point2, const bool skipFirst, const bool skipLast, const bool forceOddNumberOfPoints)
{
        this->point1 = point1;
        this->point2 = point2;
        numberOfPoints = (int)ceil(density * point1.distanceTo(point2)) + 1;
        numberOfPoints += forceOddNumberOfPoints && (numberOfPoints%2 == 0) ? 1 : 0;
        i = skipFirst ? 1 : 0;
        I = numberOfPoints - (skipLast ? 1 : 0);
}

bool MeshBuilder::Segment::tryGetNext(Pt3D &point)
{
        if (i >= I)
        {
                return false;
        }
        
        double position = GeometryUtils::pointPosition(i, numberOfPoints);
        point.x = GeometryUtils::combination(point1.x, point2.x, position);
        point.y = GeometryUtils::combination(point1.y, point2.y, position);
        point.z = GeometryUtils::combination(point1.z, point2.z, position);
        
        i += 1;
        return true;
}



MeshBuilder::RectangleSurface::RectangleSurface(const double _density):
        Iterator(_density), edge1(_density), edge2(_density), area(_density), skipVerticalEdges(false), forceOddNumberOfPoints(false)
{}

void MeshBuilder::RectangleSurface::initialize(const Part *part, const CuboidFaces::Face face, const bool skipVerticalEdges, const bool skipHorizontalEdges, const bool forceOddNumberOfPoints)
{
        Pt3D apex1, apex2, apex3, apex4;
        GeometryUtils::getRectangleApicesFromCuboid(part, face, apex1, apex2, apex3, apex4);
        initialize(apex1, apex2, apex3, apex4, skipVerticalEdges, skipHorizontalEdges, forceOddNumberOfPoints);
}

void MeshBuilder::RectangleSurface::initialize(const double width, const double height, const Pt3D &position, const Orient &orient, const bool skipVerticalEdges, const bool skipHorizontalEdges, const bool forceOddNumberOfPoints)
{
        Pt3D apex1, apex2, apex3, apex4;
        GeometryUtils::getRectangleApices(width, height, position, orient, apex1, apex2, apex3, apex4);
        initialize(apex1, apex2, apex3, apex4, skipVerticalEdges, skipHorizontalEdges, forceOddNumberOfPoints);
}

void MeshBuilder::RectangleSurface::initialize(const Pt3D &apex1, const Pt3D &apex2, const Pt3D &apex3, const Pt3D &apex4, const bool skipVerticalEdges, const bool skipHorizontalEdges, const bool forceOddNumberOfPoints)
{
        this->skipVerticalEdges = skipVerticalEdges;
        this->forceOddNumberOfPoints = forceOddNumberOfPoints;
        
        edge1.setDensity(density);
        edge1.initialize(apex1, apex2, skipHorizontalEdges, skipHorizontalEdges, forceOddNumberOfPoints);
        
        edge2.setDensity(density);
        edge2.initialize(apex3, apex4, skipHorizontalEdges, skipHorizontalEdges, forceOddNumberOfPoints);
        
        area = Segment(density);
}

bool MeshBuilder::RectangleSurface::tryGetNext(Pt3D &point)
{
        while (!area.tryGetNext(point))
        {
                Pt3D point1, point2;
                if (edge1.tryGetNext(point1) && edge2.tryGetNext(point2))
                {
                        area.initialize(point1, point2, skipVerticalEdges, skipVerticalEdges, forceOddNumberOfPoints);
                }
                else
                {
                        return false;
                }
        }
        
        return true;
}



MeshBuilder::CuboidApices::CuboidApices():
        Iterator(0), scale(0), position(0), orient(Orient_1), octant(Octants::NUMBER)
{}

void MeshBuilder::CuboidApices::initialize(const Part *part)
{
        initialize(part->scale, part->p, part->o);
}

void MeshBuilder::CuboidApices::initialize(const Pt3D &scale, const Pt3D &position, const Orient &orient)
{
        this->scale = scale;
        this->position = position;
        this->orient = orient;
        octant = Octants::FIRST;
}

bool MeshBuilder::CuboidApices::tryGetNext(Pt3D &point)
{
        if (octant == Octants::NUMBER)
        {
                return false;
        }
        
        Pt3D temp(scale);
        
        temp.x *= Octants::isPositiveX(octant) ? 1 : -1;
        temp.y *= Octants::isPositiveY(octant) ? 1 : -1;
        temp.z *= Octants::isPositiveZ(octant) ? 1 : -1;
        
        orient.transform(point, temp);
        point += position;
        
        octant = Octants::Octant(octant+1);
        
        return true;
}



MeshBuilder::CuboidSurface::CuboidSurface(const double _density):
        Iterator(_density), apices(), rectangle(_density), iterator(NULL), part(NULL), face(CuboidFaces::NUMBER)
{}

void MeshBuilder::CuboidSurface::initialize(const Part *part)
{
        this->part = part;
        face = CuboidFaces::FIRST;
        apices.setDensity(density);
        apices.initialize(part);
        iterator = &apices;
        rectangle.setDensity(density);
}

bool MeshBuilder::CuboidSurface::tryGetNext(Pt3D &point)
{
        if (iterator == NULL)
        {
                return false;
        }
        
        while(!iterator->tryGetNext(point))
        {
                if (face < CuboidFaces::NUMBER)
                {
                        iterator = &rectangle;
                        rectangle.initialize(part, face, true, false);
                        face = CuboidFaces::Face(face+1);
                }
                else
                {
                        return false;
                }
        }
        
        return true;
}



MeshBuilder::EllipseSurface::EllipseSurface(const double _density):
        Iterator(_density), rectangle(_density), position(0), orient(Orient_1), inversedSquaredWidth(0.0), inversedSquaredHeight(0.0)
{}

void MeshBuilder::EllipseSurface::initialize(const Part *part, const CylinderBases::Base base)
{
        double relativePositionX = part->scale.x;
        relativePositionX *= CylinderBases::isPositive(base) ? +1 : -1;
        Pt3D relativePosition;
        part->o.transform(relativePosition, Pt3D(relativePositionX, 0.0, 0.0));
        initialize(part->scale.y, part->scale.z, part->p + relativePosition, part->o);
}

void MeshBuilder::EllipseSurface::initialize(const double width, const double height, const Pt3D &position, const Orient &orient)
{
        this->position = position;
        this->orient = orient;
        rectangle.setDensity(density);
        rectangle.initialize(width, height, Pt3D(0), Orient_1, false, false, true);
        inversedSquaredWidth = 1.0 / pow(width, 2.0);
        inversedSquaredHeight = 1.0 / pow(height, 2.0);
}

bool MeshBuilder::EllipseSurface::tryGetNext(Pt3D &point)
{
        Pt3D temp;
        
        while (rectangle.tryGetNext(temp))
        {
                double r
                        = (pow(temp.y, 2.0) * inversedSquaredWidth)
                        + (pow(temp.z, 2.0) * inversedSquaredHeight);
                if (r <= 1.0)
                {
                        orient.transform(point, temp);
                        point += position;
                        return true;
                }
        }
        
        return false;
}



MeshBuilder::Ellipse::Ellipse(const double _density):
        Iterator(_density), phase(Done), position(0), orient(Orient_1), width(0.0), height(0.0), d(0.0), p(0.0), q(0.0), P(0.0), Q(0.0), D(0.0), a(0.0), b(0.0), quadrant(QuadrantsYZ::FIRST)
{}

void MeshBuilder::Ellipse::initialize(const Part *part, const CylinderBases::Base base)
{
        double relativePositionX = part->scale.x;
        relativePositionX *= CylinderBases::isPositive(base) ? +1 : -1;
        Pt3D relativePosition;
        part->o.transform(relativePosition, Pt3D(relativePositionX, 0.0, 0.0));
        initialize(part->scale.y, part->scale.z, part->p + relativePosition, part->o);
}

void MeshBuilder::Ellipse::initialize(const double width, const double height, const Pt3D &position, const Orient &orient)
{
        this->width = width;
        this->height = height;
        this->position = position;
        this->orient = orient;
        calculateAndSetSegmentationDistance();
        initializePhase(yToZ);
        D = 0;
}

bool MeshBuilder::Ellipse::tryGetNext(Pt3D &point)
{
        if (phase == Done)
        {
                return false;
        }
        
        setPoint(point);
        
        quadrant = QuadrantsYZ::QuadrantYZ(quadrant+1);
        
        if (quadrant == QuadrantsYZ::NUMBER)
        {
                quadrant = QuadrantsYZ::FIRST;
                findNextPQAndPhase();
        }
        
        return true;
}

void MeshBuilder::Ellipse::calculateAndSetSegmentationDistance()
{
        d = 1.0 / density;
        int i = 0;
        
        Pt3D p1(0);
        i += findLastPQOfPhase(yToZ, p1.z, p1.y);
        
        Pt3D p2(0);
        i += findLastPQOfPhase(zToY, p2.y, p2.z);
                
        double ld = p1.distanceTo(p2);
        double td = i * d + ld;
        int n = (int)ceil(td * density);
        d = td / n;
}

void MeshBuilder::Ellipse::initializePhase(Phase ph)
{
        phase = ph;
        
        if (phase != Done)
        {
                a = phase == yToZ ? height : width;
                b = phase == yToZ ? width : height;
                
                p = 0.0;
                q = b;
                P = a*a / sqrt(a*a + b*b);
                Q = b*b / sqrt(a*a + b*b);
                
                quadrant = QuadrantsYZ::POSITIVE_Y_NEGATIVE_Z;
        }
}

void MeshBuilder::Ellipse::setPoint(Pt3D &point)
{
        double np = p * (QuadrantsYZ::isPositiveY(quadrant) ? +1 : -1);
        double nq = q * (QuadrantsYZ::isPositiveZ(quadrant) ? +1 : -1);
        
        double y = phase == yToZ ? nq : np;
        double z = phase == yToZ ? np : nq;
        
        Pt3D temp(0.0, y, z);
        orient.transform(point, temp);
        point += position;
}

void MeshBuilder::Ellipse::findNextPQAndPhase()
{
        double _p = p;
        double _q = q;
        
        GeometryUtils::getNextEllipseSegmentationPoint(d, a, b, p, q);
        
        if (p > P)
        {
                D += sqrt(pow(P-_p, 2.0) + pow(Q-_q, 2.0));
                
                if ((phase == zToY) && (D > 1.5 * d))
                {
                        p = P;
                        q = Q;
                        D = 0;
                }
                else
                {
                        initializePhase(Phase(phase+1));
                }
        }
}

int MeshBuilder::Ellipse::findLastPQOfPhase(Phase ph, double &lp, double &lq)
{
        initializePhase(ph);
        int i = 0;
        
        do
        {
                lp = p;
                lq = q;
                
                GeometryUtils::getNextEllipseSegmentationPoint(d, a, b, p, q);
                
                i += p <= P ? 1 : 0;
        } while (p <= P);
        
        return i;
}

MeshBuilder::CylinderEdges::CylinderEdges(const double _density):
        Iterator(_density), ellipse(_density), edge(0.0), length(0.0), base(CylinderBases::NUMBER)
{}

void MeshBuilder::CylinderEdges::initialize(const Part *part)
{
        initialize(part->scale, part->p, part->o);
}

void MeshBuilder::CylinderEdges::initialize(const Pt3D &scale, const Pt3D &position, const Orient &orient)
{
        initialize(scale.x, scale.y, scale.z, position, orient);
}

void MeshBuilder::CylinderEdges::initialize(const double length, const double width, const double height, const Pt3D &position, const Orient &orient)
{
        ellipse.setDensity(density);
        ellipse.initialize(width, height, position, orient);
        
        orient.transform(this->length, Pt3D(length, 0.0, 0.0));
        
        base = CylinderBases::NUMBER;
}

bool MeshBuilder::CylinderEdges::tryGetNext(Pt3D &point)
{
        if (base == CylinderBases::NUMBER)
        {
                if (!ellipse.tryGetNext(edge))
                {
                        return false;
                }
                
                base = CylinderBases::FIRST;
        }
        
        point.x = edge.x + length.x * (CylinderBases::isPositive(base) ? +1 : -1);
        point.y = edge.y + length.y * (CylinderBases::isPositive(base) ? +1 : -1);
        point.z = edge.z + length.z * (CylinderBases::isPositive(base) ? +1 : -1);
        
        base = CylinderBases::Base(base+1);
        
        return true;
}



MeshBuilder::CylinderWallSurface::CylinderWallSurface(const double _density):
        Iterator(_density), edge(_density), length(0.0), area(_density)
{}

void MeshBuilder::CylinderWallSurface::initialize(const Part *part)
{
        initialize(part->scale, part->p, part->o);
}

void MeshBuilder::CylinderWallSurface::initialize(const Pt3D &scale, const Pt3D &position, const Orient &orient)
{
        initialize(scale.x, scale.y, scale.z, position, orient);
}

void MeshBuilder::CylinderWallSurface::initialize(const double length, const double width, const double height, const Pt3D &position, const Orient &orient)
{
        edge.setDensity(density);
        edge.initialize(width, height, position, orient);
        
        orient.transform(this->length, Pt3D(length, 0.0, 0.0));
        
        area.setDensity(density);
}

bool MeshBuilder::CylinderWallSurface::tryGetNext(Pt3D &point)
{
        while (!area.tryGetNext(point))
        {
                if (edge.tryGetNext(point))
                {
                        area.initialize(point + length, point - length);
                }
                else
                {
                        return false;
                }
        }
        
        return true;
}



MeshBuilder::CylinderSurface::CylinderSurface(const double _density):
        Iterator(_density), wall(_density), ellipse(_density), iterator(NULL), part(NULL), base(CylinderBases::NUMBER)
{}

void MeshBuilder::CylinderSurface::initialize(const Part *part)
{
        this->part = part;
        base = CylinderBases::FIRST;
        wall.setDensity(density);
        wall.initialize(part);
        iterator = &wall;
        ellipse.setDensity(density);
}

bool MeshBuilder::CylinderSurface::tryGetNext(Pt3D &point)
{
        if (iterator == NULL)
        {
                return false;
        }
        
        while(!iterator->tryGetNext(point))
        {
                if (base < CylinderBases::NUMBER)
                {
                        iterator = &ellipse;
                        ellipse.initialize(part, base);
                        base = CylinderBases::Base(base+1);
                }
                else
                {
                        return false;
                }
        }
        
        return true;
}



MeshBuilder::EllipsoidSurface::EllipsoidSurface(const double _density):
        Iterator(_density), phase(Done), edge(0.0), area(0.0), scale(0.0), limit(0.0), d(0.0), part(NULL), octant(Octants::NUMBER)
{}

void MeshBuilder::EllipsoidSurface::initialize(const Part *part)
{
        this->part = part;
        d = 1.0 / density;
        initializePhase(X);
}

bool MeshBuilder::EllipsoidSurface::tryGetNext(Pt3D &point)
{
        if (phase == Done)
        {
                return false;
        }
        
        setPoint(point);
        proceedToNextOctant();
        
        if (octant == Octants::NUMBER)
        {
                octant = Octants::FIRST;
                findNextAreaEdgeAndPhase();
        }
        
        return true;
}

void MeshBuilder::EllipsoidSurface::initializePhase(Phase ph)
{
        phase = ph;
        
        if (phase != Done)
        {
                scale.x = phase == X ? part->scale.x : phase == Y ? part->scale.y : part->scale.z;
                scale.y = phase == X ? part->scale.y : phase == Y ? part->scale.z : part->scale.x;
                scale.z = phase == X ? part->scale.z : phase == Y ? part->scale.x : part->scale.y;
                
                edge = Pt3D(scale.x, 0.0, scale.z);
                limit.y = scale.y*scale.y / sqrt(scale.x*scale.x + scale.y*scale.y);
                limit.z = edge.z*edge.z / sqrt(edge.x*edge.x + edge.z*edge.z);
                area = Pt3D(edge.x, edge.y, 0.0);
                
                octant = Octants::FIRST;
        }
}

void MeshBuilder::EllipsoidSurface::setPoint(Pt3D &point)
{
        Pt3D temp1(area);
        temp1.x *= Octants::isPositiveX(octant) ? +1 : -1;
        temp1.y *= Octants::isPositiveY(octant) ? +1 : -1;
        temp1.z *= Octants::isPositiveZ(octant) ? +1 : -1;
        
        Pt3D temp2;
        temp2.x = phase == X ? temp1.x : phase == Y ? temp1.z : temp1.y;
        temp2.y = phase == X ? temp1.y : phase == Y ? temp1.x : temp1.z;
        temp2.z = phase == X ? temp1.z : phase == Y ? temp1.y : temp1.x;
        
        part->o.transform(point, temp2);
        point += part->p;
}

void MeshBuilder::EllipsoidSurface::proceedToNextOctant()
{
        int step = 1;
        step += (Octants::isNegativeZ(octant) && (area.z == 0.0)) ? 1 : 0;
        step += (Octants::isNegativeY(octant) && (area.y == 0.0)) ? 2 : 0;
        octant = Octants::Octant(octant + step);
}

void MeshBuilder::EllipsoidSurface::findNextAreaEdgeAndPhase()
{
        GeometryUtils::getNextEllipseSegmentationPoint(d, edge.z, edge.x, area.z, area.x);
                
        if ((area.z > limit.z) || (area.y > limit.y * sqrt(1.0 - (area.z*area.z) / (scale.z*scale.z))))
        {
                GeometryUtils::getNextEllipseSegmentationPoint(d, scale.y, scale.x, edge.y, edge.x);
                edge.z = scale.z * sqrt(1.0 - (edge.y*edge.y) / (scale.y*scale.y));
                limit.z = edge.z*edge.z / sqrt(edge.x*edge.x + edge.z*edge.z);
                area = Pt3D(edge.x, edge.y, 0.0);
                
                if (edge.y > limit.y)
                {
                        initializePhase(Phase(phase+1));
                }
        }
}



MeshBuilder::PartSurface::PartSurface(const double _density):
        Iterator(_density), cuboid(_density), cylinder(_density), ellipsoid(_density), iterator(NULL)
{}

void MeshBuilder::PartSurface::initialize(const Part *part)
{
        switch (part->shape)
        {
                case Part::SHAPE_ELLIPSOID:
                        ellipsoid.setDensity(density);
                        ellipsoid.initialize(part);
                        iterator = &ellipsoid;
                        break;
                        
                case Part::SHAPE_CUBOID:
                        cuboid.setDensity(density);
                        cuboid.initialize(part);
                        iterator = &cuboid;
                        break;
                        
                case Part::SHAPE_CYLINDER:
                        cylinder.setDensity(density);
                        cylinder.initialize(part);
                        iterator = &cylinder;
                        break;
        }
}

bool MeshBuilder::PartSurface::tryGetNext(Pt3D &point)
{
        if (iterator == NULL)
        {
                return false;
        }

        return iterator->tryGetNext(point);
}



MeshBuilder::ModelSurface::ModelSurface(const double _density):
        Iterator(_density), surface(_density), model(NULL), index(0)
{}

void MeshBuilder::ModelSurface::initialize(const Model *model)
{
        this->model = model;
        surface.setDensity(density);
        
        index = 0;
        if (model->getPartCount() > index)
        {
                surface.initialize(model->getPart(index));
        }
}

bool MeshBuilder::ModelSurface::tryGetNext(Pt3D &point)
{
        if (model == NULL)
        {
                return false;
        }
        
        do
        {
                while (!surface.tryGetNext(point))
                {
                        index += 1;
                        if (model->getPartCount() > index)
                        {
                                surface.initialize(model->getPart(index));
                        }
                        else
                        {
                                return false;
                        }
                }
        } while (GeometryUtils::isPointInsideModelExcludingPart(point, model, index));
        
        return true;
}



MeshBuilder::PartApices::PartApices(const double _density):
        Iterator(_density), cuboid(), cylinder(_density), ellipsoid(_density), iterator(NULL)
{}

void MeshBuilder::PartApices::initialize(const Part *part)
{
        switch (part->shape)
        {
                case Part::SHAPE_ELLIPSOID:
                        ellipsoid.setDensity(density);
                        ellipsoid.initialize(part);
                        iterator = &ellipsoid;
                        break;
                        
                case Part::SHAPE_CUBOID:
                        cuboid.initialize(part);
                        iterator = &cuboid;
                        break;
                        
                case Part::SHAPE_CYLINDER:
                        cylinder.setDensity(density);
                        cylinder.initialize(part);
                        iterator = &cylinder;
                        break;
        }
}

bool MeshBuilder::PartApices::tryGetNext(Pt3D &point)
{
        if (iterator == NULL)
        {
                return false;
        }

        return iterator->tryGetNext(point);
}



MeshBuilder::ModelApices::ModelApices(const double _density):
        Iterator(_density), surface(_density), model(NULL), index(0)
{}

void MeshBuilder::ModelApices::initialize(const Model *model)
{
        this->model = model;
        surface.setDensity(density);
        
        index = 0;
        if (model->getPartCount() > index)
        {
                surface.initialize(model->getPart(index));
        }
}

bool MeshBuilder::ModelApices::tryGetNext(Pt3D &point)
{
        if (model == NULL)
        {
                return false;
        }
        
        do
        {
                while (!surface.tryGetNext(point))
                {
                        index += 1;
                        if (model->getPartCount() > index)
                        {
                                surface.initialize(model->getPart(index));
                        }
                        else
                        {
                                return false;
                        }
                }
        } while (GeometryUtils::isPointInsideModelExcludingPart(point, model, index));
        
        return true;
}



MeshBuilder::BoundingBoxVolume::BoundingBoxVolume(const double _density):
        Iterator(_density), edge(_density), area(_density), volume(_density), length(0.0), width(0.0), height(0.0)
{}

bool MeshBuilder::BoundingBoxVolume::initialize(const Model &model)
{
        Pt3D lowerBoundary, upperBoundary;
        ModelGeometryInfo::boundingBox(model, lowerBoundary, upperBoundary);
        initialize(lowerBoundary, upperBoundary);
}

bool MeshBuilder::BoundingBoxVolume::initialize(const Pt3D &lowerBoundary, const Pt3D &upperBoundary)
{
        length = Pt3D(upperBoundary.x - lowerBoundary.x, 0.0, 0.0);
        width = Pt3D(0.0, upperBoundary.y - lowerBoundary.y, 0.0);
        height = Pt3D(0.0, 0.0, upperBoundary.z - lowerBoundary.z);

        edge.setDensity(density);
        edge.initialize(lowerBoundary, lowerBoundary + length);
        
        area.setDensity(density);
        area.initialize(lowerBoundary, lowerBoundary + width);
        
        volume = Segment(density);
}

bool MeshBuilder::BoundingBoxVolume::tryGetNext(Pt3D &point)
{
        while (!volume.tryGetNext(point))
        {
                while (!area.tryGetNext(point))
                {
                        if (edge.tryGetNext(point))
                        {
                                area.initialize(point, point + width);
                        }
                        else
                        {
                                return false;
                        }
                }
                
                volume.initialize(point, point + height);
        }
        
        return true;
}