#include "libslic3r/libslic3r.h"
#include "Selection.hpp"

#include "GLCanvas3D.hpp"
#include "GUI_App.hpp"
#include "GUI.hpp"
#include "GUI_ObjectManipulation.hpp"
#include "GUI_ObjectList.hpp"
#include "Gizmos/GLGizmoBase.hpp"
#include "3DScene.hpp"
#include "Camera.hpp"

#include <GL/glew.h>

#include <boost/algorithm/string/predicate.hpp>

static const float UNIFORM_SCALE_COLOR[3] = { 1.0f, 0.38f, 0.0f };

namespace Slic3r {
namespace GUI {

Selection::VolumeCache::TransformCache::TransformCache()
    : position(Vec3d::Zero())
    , rotation(Vec3d::Zero())
    , scaling_factor(Vec3d::Ones())
    , mirror(Vec3d::Ones())
    , rotation_matrix(Transform3d::Identity())
    , scale_matrix(Transform3d::Identity())
    , mirror_matrix(Transform3d::Identity())
    , full_matrix(Transform3d::Identity())
{
}

Selection::VolumeCache::TransformCache::TransformCache(const Geometry::Transformation& transform)
    : position(transform.get_offset())
    , rotation(transform.get_rotation())
    , scaling_factor(transform.get_scaling_factor())
    , mirror(transform.get_mirror())
    , full_matrix(transform.get_matrix())
{
    rotation_matrix = Geometry::assemble_transform(Vec3d::Zero(), rotation);
    scale_matrix = Geometry::assemble_transform(Vec3d::Zero(), Vec3d::Zero(), scaling_factor);
    mirror_matrix = Geometry::assemble_transform(Vec3d::Zero(), Vec3d::Zero(), Vec3d::Ones(), mirror);
}

Selection::VolumeCache::VolumeCache(const Geometry::Transformation& volume_transform, const Geometry::Transformation& instance_transform)
    : m_volume(volume_transform)
    , m_instance(instance_transform)
{
}

bool Selection::Clipboard::is_sla_compliant() const
{
    if (m_mode == Selection::Volume)
        return false;

    for (const ModelObject* o : m_model.objects)
    {
        if (o->is_multiparts())
            return false;

        for (const ModelVolume* v : o->volumes)
        {
            if (v->is_modifier())
                return false;
        }
    }

    return true;
}

Selection::Selection()
    : m_volumes(nullptr)
    , m_model(nullptr)
    , m_enabled(false)
    , m_mode(Instance)
    , m_type(Empty)
    , m_valid(false)
    , m_curved_arrow(16)
    , m_scale_factor(1.0f)
{
    this->set_bounding_boxes_dirty();
#if ENABLE_RENDER_SELECTION_CENTER
    m_quadric = ::gluNewQuadric();
    if (m_quadric != nullptr)
        ::gluQuadricDrawStyle(m_quadric, GLU_FILL);
#endif // ENABLE_RENDER_SELECTION_CENTER
}

#if ENABLE_RENDER_SELECTION_CENTER
Selection::~Selection()
{
    if (m_quadric != nullptr)
        ::gluDeleteQuadric(m_quadric);
}
#endif // ENABLE_RENDER_SELECTION_CENTER

void Selection::set_volumes(GLVolumePtrs* volumes)
{
    m_volumes = volumes;
    update_valid();
}

// Init shall be called from the OpenGL render function, so that the OpenGL context is initialized!
bool Selection::init()
{
    if (!m_arrow.init())
        return false;

    m_arrow.set_scale(5.0 * Vec3d::Ones());

    if (!m_curved_arrow.init())
        return false;

    m_curved_arrow.set_scale(5.0 * Vec3d::Ones());
    return true;
}

void Selection::set_model(Model* model)
{
    m_model = model;
    update_valid();
}

void Selection::add(unsigned int volume_idx, bool as_single_selection, bool check_for_already_contained)
{
    if (!m_valid || ((unsigned int)m_volumes->size() <= volume_idx))
        return;

    const GLVolume* volume = (*m_volumes)[volume_idx];
    // wipe tower is already selected
    if (is_wipe_tower() && volume->is_wipe_tower)
        return;

    bool keep_instance_mode = (m_mode == Instance) && !as_single_selection;
    bool already_contained = check_for_already_contained && contains_volume(volume_idx);

    // resets the current list if needed
    bool needs_reset = as_single_selection && !already_contained;
    needs_reset |= volume->is_wipe_tower;
    needs_reset |= is_wipe_tower() && !volume->is_wipe_tower;
    needs_reset |= as_single_selection && !is_any_modifier() && volume->is_modifier;
    needs_reset |= is_any_modifier() && !volume->is_modifier;

    if (!already_contained || needs_reset)
    {
        wxGetApp().plater()->take_snapshot(_(L("Selection-Add")));

        if (needs_reset)
            clear();

        if (!keep_instance_mode)
            m_mode = volume->is_modifier ? Volume : Instance;
    }
    else
      // keep current mode
      return;

    switch (m_mode)
    {
    case Volume:
    {
        if ((volume->volume_idx() >= 0) && (is_empty() || (volume->instance_idx() == get_instance_idx())))
            do_add_volume(volume_idx);

        break;
    }
    case Instance:
    {
        Plater::SuppressSnapshots suppress(wxGetApp().plater());
        add_instance(volume->object_idx(), volume->instance_idx(), as_single_selection);
        break;
    }
    }

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::remove(unsigned int volume_idx)
{
    if (!m_valid || ((unsigned int)m_volumes->size() <= volume_idx))
        return;

    if (!contains_volume(volume_idx))
        return;

    wxGetApp().plater()->take_snapshot(_(L("Selection-Remove")));

    GLVolume* volume = (*m_volumes)[volume_idx];

    switch (m_mode)
    {
    case Volume:
    {
        do_remove_volume(volume_idx);
        break;
    }
    case Instance:
    {
        do_remove_instance(volume->object_idx(), volume->instance_idx());
        break;
    }
    }

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::add_object(unsigned int object_idx, bool as_single_selection)
{
    if (!m_valid)
        return;

    std::vector<unsigned int> volume_idxs = get_volume_idxs_from_object(object_idx);
    if ((!as_single_selection && contains_all_volumes(volume_idxs)) ||
        (as_single_selection && matches(volume_idxs)))
        return;

    wxGetApp().plater()->take_snapshot(_(L("Selection-Add Object")));

    // resets the current list if needed
    if (as_single_selection)
        clear();

    m_mode = Instance;

    do_add_volumes(volume_idxs);

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::remove_object(unsigned int object_idx)
{
    if (!m_valid)
        return;

    wxGetApp().plater()->take_snapshot(_(L("Selection-Remove Object")));

    do_remove_object(object_idx);

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::add_instance(unsigned int object_idx, unsigned int instance_idx, bool as_single_selection)
{
    if (!m_valid)
        return;

    std::vector<unsigned int> volume_idxs = get_volume_idxs_from_instance(object_idx, instance_idx);
    if ((!as_single_selection && contains_all_volumes(volume_idxs)) ||
        (as_single_selection && matches(volume_idxs)))
        return;

    wxGetApp().plater()->take_snapshot(_(L("Selection-Add Instance")));

    // resets the current list if needed
    if (as_single_selection)
        clear();

    m_mode = Instance;

    do_add_volumes(volume_idxs);

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::remove_instance(unsigned int object_idx, unsigned int instance_idx)
{
    if (!m_valid)
        return;

    wxGetApp().plater()->take_snapshot(_(L("Selection-Remove Instance")));

    do_remove_instance(object_idx, instance_idx);

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::add_volume(unsigned int object_idx, unsigned int volume_idx, int instance_idx, bool as_single_selection)
{
    if (!m_valid)
        return;

    std::vector<unsigned int> volume_idxs = get_volume_idxs_from_volume(object_idx, instance_idx, volume_idx);
    if ((!as_single_selection && contains_all_volumes(volume_idxs)) ||
        (as_single_selection && matches(volume_idxs)))
        return;

    // resets the current list if needed
    if (as_single_selection)
        clear();

    m_mode = Volume;

    do_add_volumes(volume_idxs);

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::remove_volume(unsigned int object_idx, unsigned int volume_idx)
{
    if (!m_valid)
        return;

    for (unsigned int i = 0; i < (unsigned int)m_volumes->size(); ++i)
    {
        GLVolume* v = (*m_volumes)[i];
        if ((v->object_idx() == (int)object_idx) && (v->volume_idx() == (int)volume_idx))
            do_remove_volume(i);
    }

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::add_volumes(EMode mode, const std::vector<unsigned int>& volume_idxs, bool as_single_selection)
{
    if (!m_valid)
        return;

    if ((!as_single_selection && contains_all_volumes(volume_idxs)) ||
        (as_single_selection && matches(volume_idxs)))
        return;

    // resets the current list if needed
    if (as_single_selection)
        clear();

    m_mode = mode;
    for (unsigned int i : volume_idxs)
    {
        if (i < (unsigned int)m_volumes->size())
            do_add_volume(i);
    }

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::remove_volumes(EMode mode, const std::vector<unsigned int>& volume_idxs)
{
    if (!m_valid)
        return;

    m_mode = mode;
    for (unsigned int i : volume_idxs)
    {
        if (i < (unsigned int)m_volumes->size())
            do_remove_volume(i);
    }

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::add_all()
{
    if (!m_valid)
        return;

    unsigned int count = 0;
    for (unsigned int i = 0; i < (unsigned int)m_volumes->size(); ++i)
    {
        if (!(*m_volumes)[i]->is_wipe_tower)
            ++count;
    }

    if ((unsigned int)m_list.size() == count)
        return;
    
    wxGetApp().plater()->take_snapshot(_(L("Selection-Add All")));

    m_mode = Instance;
    clear();

    for (unsigned int i = 0; i < (unsigned int)m_volumes->size(); ++i)
    {
        if (!(*m_volumes)[i]->is_wipe_tower)
            do_add_volume(i);
    }

    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::remove_all()
{
    if (!m_valid)
        return;

    if (is_empty())
        return;
  
// Not taking the snapshot with non-empty Redo stack will likely be more confusing than losing the Redo stack.
// Let's wait for user feedback.
//    if (!wxGetApp().plater()->can_redo())
        wxGetApp().plater()->take_snapshot(_(L("Selection-Remove All")));

    m_mode = Instance;
    clear();
}

void Selection::set_deserialized(EMode mode, const std::vector<std::pair<size_t, size_t>> &volumes_and_instances)
{
    if (! m_valid)
        return;

    m_mode = mode;
    for (unsigned int i : m_list)
        (*m_volumes)[i]->selected = false;
    m_list.clear();
    for (unsigned int i = 0; i < (unsigned int)m_volumes->size(); ++ i)
		if (std::binary_search(volumes_and_instances.begin(), volumes_and_instances.end(), (*m_volumes)[i]->geometry_id))
			this->do_add_volume(i);
    update_type();
    this->set_bounding_boxes_dirty();
}

void Selection::clear()
{
    if (!m_valid)
        return;

    if (m_list.empty())
        return;

    for (unsigned int i : m_list)
    {
        (*m_volumes)[i]->selected = false;
    }

    m_list.clear();

    update_type();
    this->set_bounding_boxes_dirty();

    // resets the cache in the sidebar
    wxGetApp().obj_manipul()->reset_cache();

    // #et_FIXME fake KillFocus from sidebar
    wxGetApp().plater()->canvas3D()->handle_sidebar_focus_event("", false);
}

// Update the selection based on the new instance IDs.
void Selection::instances_changed(const std::vector<size_t> &instance_ids_selected)
{
    assert(m_valid);
    assert(m_mode == Instance);
    m_list.clear();
    for (unsigned int volume_idx = 0; volume_idx < (unsigned int)m_volumes->size(); ++ volume_idx) {
        const GLVolume *volume = (*m_volumes)[volume_idx];
        auto it = std::lower_bound(instance_ids_selected.begin(), instance_ids_selected.end(), volume->geometry_id.second);
		if (it != instance_ids_selected.end() && *it == volume->geometry_id.second)
            this->do_add_volume(volume_idx);
    }
    update_type();
    this->set_bounding_boxes_dirty();
}

// Update the selection based on the map from old indices to new indices after m_volumes changed.
// If the current selection is by instance, this call may select newly added volumes, if they belong to already selected instances.
void Selection::volumes_changed(const std::vector<size_t> &map_volume_old_to_new)
{
    assert(m_valid);
    assert(m_mode == Volume);
    IndicesList list_new;
    for (unsigned int idx : m_list)
        if (map_volume_old_to_new[idx] != size_t(-1)) {
            unsigned int new_idx = (unsigned int)map_volume_old_to_new[idx];
            (*m_volumes)[new_idx]->selected = true;
            list_new.insert(new_idx);
        }
    m_list = std::move(list_new);
    update_type();
    this->set_bounding_boxes_dirty();
}

bool Selection::is_single_full_instance() const
{
    if (m_type == SingleFullInstance)
        return true;

    if (m_type == SingleFullObject)
        return get_instance_idx() != -1;

    if (m_list.empty() || m_volumes->empty())
        return false;

    int object_idx = m_valid ? get_object_idx() : -1;
    if ((object_idx < 0) || ((int)m_model->objects.size() <= object_idx))
        return false;

    int instance_idx = (*m_volumes)[*m_list.begin()]->instance_idx();

    std::set<int> volumes_idxs;
    for (unsigned int i : m_list)
    {
        const GLVolume* v = (*m_volumes)[i];
        if ((object_idx != v->object_idx()) || (instance_idx != v->instance_idx()))
            return false;

        int volume_idx = v->volume_idx();
        if (volume_idx >= 0)
            volumes_idxs.insert(volume_idx);
    }

    return m_model->objects[object_idx]->volumes.size() == volumes_idxs.size();
}

bool Selection::is_from_single_object() const
{
    int idx = get_object_idx();
    return (0 <= idx) && (idx < 1000);
}

bool Selection::is_sla_compliant() const
{
    if (m_mode == Volume)
        return false;

    for (unsigned int i : m_list)
    {
        if ((*m_volumes)[i]->is_modifier)
            return false;
    }

    return true;
}

bool Selection::contains_all_volumes(const std::vector<unsigned int>& volume_idxs) const
{
    for (unsigned int i : volume_idxs)
    {
        if (m_list.find(i) == m_list.end())
            return false;
    }

    return true;
}

bool Selection::contains_any_volume(const std::vector<unsigned int>& volume_idxs) const
{
    for (unsigned int i : volume_idxs)
    {
        if (m_list.find(i) != m_list.end())
            return true;
    }

    return false;
}

bool Selection::matches(const std::vector<unsigned int>& volume_idxs) const
{
    unsigned int count = 0;

    for (unsigned int i : volume_idxs)
    {
        if (m_list.find(i) != m_list.end())
            ++count;
        else
            return false;
    }

    return count == (unsigned int)m_list.size();
}

bool Selection::requires_uniform_scale() const
{
    if (is_single_full_instance() || is_single_modifier() || is_single_volume())
        return false;

    return true;
}

int Selection::get_object_idx() const
{
    return (m_cache.content.size() == 1) ? m_cache.content.begin()->first : -1;
}

int Selection::get_instance_idx() const
{
    if (m_cache.content.size() == 1)
    {
        const InstanceIdxsList& idxs = m_cache.content.begin()->second;
        if (idxs.size() == 1)
            return *idxs.begin();
    }

    return -1;
}

const Selection::InstanceIdxsList& Selection::get_instance_idxs() const
{
    assert(m_cache.content.size() == 1);
    return m_cache.content.begin()->second;
}

const GLVolume* Selection::get_volume(unsigned int volume_idx) const
{
    return (m_valid && (volume_idx < (unsigned int)m_volumes->size())) ? (*m_volumes)[volume_idx] : nullptr;
}

const BoundingBoxf3& Selection::get_bounding_box() const
{
    if (m_bounding_box_dirty)
        calc_bounding_box();

    return m_bounding_box;
}

const BoundingBoxf3& Selection::get_unscaled_instance_bounding_box() const
{
    if (m_unscaled_instance_bounding_box_dirty)
        calc_unscaled_instance_bounding_box();
    return m_unscaled_instance_bounding_box;
}

const BoundingBoxf3& Selection::get_scaled_instance_bounding_box() const
{
    if (m_scaled_instance_bounding_box_dirty)
        calc_scaled_instance_bounding_box();
    return m_scaled_instance_bounding_box;
}

void Selection::start_dragging()
{
    if (!m_valid)
        return;

    set_caches();
}

void Selection::translate(const Vec3d& displacement, bool local)
{
    if (!m_valid)
        return;

    EMode translation_type = m_mode;

    for (unsigned int i : m_list)
    {
        if ((m_mode == Volume) || (*m_volumes)[i]->is_wipe_tower)
        {
            if (local)
                (*m_volumes)[i]->set_volume_offset(m_cache.volumes_data[i].get_volume_position() + displacement);
            else
            {
                Vec3d local_displacement = (m_cache.volumes_data[i].get_instance_rotation_matrix() * m_cache.volumes_data[i].get_instance_scale_matrix() * m_cache.volumes_data[i].get_instance_mirror_matrix()).inverse() * displacement;
                (*m_volumes)[i]->set_volume_offset(m_cache.volumes_data[i].get_volume_position() + local_displacement);
            }
        }
        else if (m_mode == Instance)
        {
            if (is_from_fully_selected_instance(i))
                (*m_volumes)[i]->set_instance_offset(m_cache.volumes_data[i].get_instance_position() + displacement);
            else
            {
                Vec3d local_displacement = (m_cache.volumes_data[i].get_instance_rotation_matrix() * m_cache.volumes_data[i].get_instance_scale_matrix() * m_cache.volumes_data[i].get_instance_mirror_matrix()).inverse() * displacement;
                (*m_volumes)[i]->set_volume_offset(m_cache.volumes_data[i].get_volume_position() + local_displacement);
                translation_type = Volume;
            }
        }
    }

#if !DISABLE_INSTANCES_SYNCH
    if (translation_type == Instance)
        synchronize_unselected_instances(SYNC_ROTATION_NONE);
    else if (translation_type == Volume)
        synchronize_unselected_volumes();
#endif // !DISABLE_INSTANCES_SYNCH

    this->set_bounding_boxes_dirty();
}

// Rotate an object around one of the axes. Only one rotation component is expected to be changing.
void Selection::rotate(const Vec3d& rotation, TransformationType transformation_type)
{
    if (!m_valid)
        return;

    // Only relative rotation values are allowed in the world coordinate system.
    assert(!transformation_type.world() || transformation_type.relative());

    if (!is_wipe_tower()) {
        int rot_axis_max = 0;
        if (rotation.isApprox(Vec3d::Zero()))
        {
            for (unsigned int i : m_list)
            {
                GLVolume &volume = *(*m_volumes)[i];
                if (m_mode == Instance)
                {
                    volume.set_instance_rotation(m_cache.volumes_data[i].get_instance_rotation());
                    volume.set_instance_offset(m_cache.volumes_data[i].get_instance_position());
                }
                else if (m_mode == Volume)
                {
                    volume.set_volume_rotation(m_cache.volumes_data[i].get_volume_rotation());
                    volume.set_volume_offset(m_cache.volumes_data[i].get_volume_position());
                }
            }
        }
        else { // this is not the wipe tower
            //FIXME this does not work for absolute rotations (transformation_type.absolute() is true)
            rotation.cwiseAbs().maxCoeff(&rot_axis_max);

//            if ( single instance or single volume )
                // Rotate around center , if only a single object or volume
//                transformation_type.set_independent();

            // For generic rotation, we want to rotate the first volume in selection, and then to synchronize the other volumes with it.
            std::vector<int> object_instance_first(m_model->objects.size(), -1);
            auto rotate_instance = [this, &rotation, &object_instance_first, rot_axis_max, transformation_type](GLVolume &volume, int i) {
                int first_volume_idx = object_instance_first[volume.object_idx()];
                if (rot_axis_max != 2 && first_volume_idx != -1) {
                    // Generic rotation, but no rotation around the Z axis.
                    // Always do a local rotation (do not consider the selection to be a rigid body).
                    assert(is_approx(rotation.z(), 0.0));
                    const GLVolume &first_volume = *(*m_volumes)[first_volume_idx];
                    const Vec3d    &rotation = first_volume.get_instance_rotation();
                    double z_diff = Geometry::rotation_diff_z(m_cache.volumes_data[first_volume_idx].get_instance_rotation(), m_cache.volumes_data[i].get_instance_rotation());
                    volume.set_instance_rotation(Vec3d(rotation(0), rotation(1), rotation(2) + z_diff));
                }
                else {
                    // extracts rotations from the composed transformation
                    Vec3d new_rotation = transformation_type.world() ?
                        Geometry::extract_euler_angles(Geometry::assemble_transform(Vec3d::Zero(), rotation) * m_cache.volumes_data[i].get_instance_rotation_matrix()) :
                        transformation_type.absolute() ? rotation : rotation + m_cache.volumes_data[i].get_instance_rotation();
                    if (rot_axis_max == 2 && transformation_type.joint()) {
                        // Only allow rotation of multiple instances as a single rigid body when rotating around the Z axis.
						double z_diff = Geometry::rotation_diff_z(m_cache.volumes_data[i].get_instance_rotation(), new_rotation);
                        volume.set_instance_offset(m_cache.dragging_center + Eigen::AngleAxisd(z_diff, Vec3d::UnitZ()) * (m_cache.volumes_data[i].get_instance_position() - m_cache.dragging_center));
                    }
                    volume.set_instance_rotation(new_rotation);
                    object_instance_first[volume.object_idx()] = i;
                }
            };

            for (unsigned int i : m_list)
            {
                GLVolume &volume = *(*m_volumes)[i];
                if (is_single_full_instance())
                    rotate_instance(volume, i);
                else if (is_single_volume() || is_single_modifier())
                {
                    if (transformation_type.independent())
                        volume.set_volume_rotation(volume.get_volume_rotation() + rotation);
                    else
                    {
                        Transform3d m = Geometry::assemble_transform(Vec3d::Zero(), rotation);
                        Vec3d new_rotation = Geometry::extract_euler_angles(m * m_cache.volumes_data[i].get_volume_rotation_matrix());
                        volume.set_volume_rotation(new_rotation);
                    }
                }
                else
                {
                    if (m_mode == Instance)
                        rotate_instance(volume, i);
                    else if (m_mode == Volume)
                    {
                        // extracts rotations from the composed transformation
                        Transform3d m = Geometry::assemble_transform(Vec3d::Zero(), rotation);
                        Vec3d new_rotation = Geometry::extract_euler_angles(m * m_cache.volumes_data[i].get_volume_rotation_matrix());
                        if (transformation_type.joint())
                        {
                            Vec3d local_pivot = m_cache.volumes_data[i].get_instance_full_matrix().inverse() * m_cache.dragging_center;
                            Vec3d offset = m * (m_cache.volumes_data[i].get_volume_position() - local_pivot);
                            volume.set_volume_offset(local_pivot + offset);
                        }
                        volume.set_volume_rotation(new_rotation);
                    }
                }
            }
        }

    #if !DISABLE_INSTANCES_SYNCH
        if (m_mode == Instance)
            synchronize_unselected_instances((rot_axis_max == 2) ? SYNC_ROTATION_NONE : SYNC_ROTATION_GENERAL);
        else if (m_mode == Volume)
            synchronize_unselected_volumes();
    #endif // !DISABLE_INSTANCES_SYNCH
    }
    else { // it's the wipe tower that's selected and being rotated
        GLVolume& volume = *((*m_volumes)[*m_list.begin()]); // the wipe tower is always alone in the selection

        // make sure the wipe tower rotates around its center, not origin
        // we can assume that only Z rotation changes
        Vec3d center_local = volume.transformed_bounding_box().center() - volume.get_volume_offset();
        Vec3d center_local_new = Eigen::AngleAxisd(rotation(2)-volume.get_volume_rotation()(2), Vec3d(0, 0, 1)) * center_local;
        volume.set_volume_rotation(rotation);
        volume.set_volume_offset(volume.get_volume_offset() + center_local - center_local_new);
    }

    this->set_bounding_boxes_dirty();
}

void Selection::flattening_rotate(const Vec3d& normal)
{
    // We get the normal in untransformed coordinates. We must transform it using the instance matrix, find out
    // how to rotate the instance so it faces downwards and do the rotation. All that for all selected instances.
    // The function assumes that is_from_single_object() holds.

    if (!m_valid)
        return;

    for (unsigned int i : m_list)
    {
        Transform3d wst = m_cache.volumes_data[i].get_instance_scale_matrix();
        Vec3d scaling_factor = Vec3d(1. / wst(0, 0), 1. / wst(1, 1), 1. / wst(2, 2));

        Transform3d wmt = m_cache.volumes_data[i].get_instance_mirror_matrix();
        Vec3d mirror(wmt(0, 0), wmt(1, 1), wmt(2, 2));

        Vec3d rotation = Geometry::extract_euler_angles(m_cache.volumes_data[i].get_instance_rotation_matrix());
        Vec3d transformed_normal = Geometry::assemble_transform(Vec3d::Zero(), rotation, scaling_factor, mirror) * normal;
        transformed_normal.normalize();

        Vec3d axis = transformed_normal(2) > 0.999f ? Vec3d(1., 0., 0.) : Vec3d(transformed_normal.cross(Vec3d(0., 0., -1.)));
        axis.normalize();

        Transform3d extra_rotation = Transform3d::Identity();
        extra_rotation.rotate(Eigen::AngleAxisd(acos(-transformed_normal(2)), axis));

        Vec3d new_rotation = Geometry::extract_euler_angles(extra_rotation * m_cache.volumes_data[i].get_instance_rotation_matrix());
        (*m_volumes)[i]->set_instance_rotation(new_rotation);
    }

#if !DISABLE_INSTANCES_SYNCH
    // we want to synchronize z-rotation as well, otherwise the flattening behaves funny
    // when applied on one of several identical instances
    if (m_mode == Instance)
        synchronize_unselected_instances(SYNC_ROTATION_FULL);
#endif // !DISABLE_INSTANCES_SYNCH

    this->set_bounding_boxes_dirty();
}

void Selection::scale(const Vec3d& scale, TransformationType transformation_type)
{
    if (!m_valid)
        return;

    for (unsigned int i : m_list)
    {
        GLVolume &volume = *(*m_volumes)[i];
        if (is_single_full_instance()) {
            if (transformation_type.relative())
            {
                Transform3d m = Geometry::assemble_transform(Vec3d::Zero(), Vec3d::Zero(), scale);
                Eigen::Matrix<double, 3, 3, Eigen::DontAlign> new_matrix = (m * m_cache.volumes_data[i].get_instance_scale_matrix()).matrix().block(0, 0, 3, 3);
                // extracts scaling factors from the composed transformation
                Vec3d new_scale(new_matrix.col(0).norm(), new_matrix.col(1).norm(), new_matrix.col(2).norm());
                if (transformation_type.joint())
                    volume.set_instance_offset(m_cache.dragging_center + m * (m_cache.volumes_data[i].get_instance_position() - m_cache.dragging_center));

                volume.set_instance_scaling_factor(new_scale);
            }
            else
            {
                if (transformation_type.world() && (std::abs(scale.x() - scale.y()) > EPSILON || std::abs(scale.x() - scale.z()) > EPSILON)) {
                    // Non-uniform scaling. Transform the scaling factors into the local coordinate system.
                    // This is only possible, if the instance rotation is mulitples of ninety degrees.
                    assert(Geometry::is_rotation_ninety_degrees(volume.get_instance_rotation()));
                    volume.set_instance_scaling_factor((volume.get_instance_transformation().get_matrix(true, false, true, true).matrix().block<3, 3>(0, 0).transpose() * scale).cwiseAbs());
                }
                else
                    volume.set_instance_scaling_factor(scale);
            }
        }
        else if (is_single_volume() || is_single_modifier())
            volume.set_volume_scaling_factor(scale);
        else
        {
            Transform3d m = Geometry::assemble_transform(Vec3d::Zero(), Vec3d::Zero(), scale);
            if (m_mode == Instance)
            {
                Eigen::Matrix<double, 3, 3, Eigen::DontAlign> new_matrix = (m * m_cache.volumes_data[i].get_instance_scale_matrix()).matrix().block(0, 0, 3, 3);
                // extracts scaling factors from the composed transformation
                Vec3d new_scale(new_matrix.col(0).norm(), new_matrix.col(1).norm(), new_matrix.col(2).norm());
                if (transformation_type.joint())
                    volume.set_instance_offset(m_cache.dragging_center + m * (m_cache.volumes_data[i].get_instance_position() - m_cache.dragging_center));

                volume.set_instance_scaling_factor(new_scale);
            }
            else if (m_mode == Volume)
            {
                Eigen::Matrix<double, 3, 3, Eigen::DontAlign> new_matrix = (m * m_cache.volumes_data[i].get_volume_scale_matrix()).matrix().block(0, 0, 3, 3);
                // extracts scaling factors from the composed transformation
                Vec3d new_scale(new_matrix.col(0).norm(), new_matrix.col(1).norm(), new_matrix.col(2).norm());
                if (transformation_type.joint())
                {
                    Vec3d offset = m * (m_cache.volumes_data[i].get_volume_position() + m_cache.volumes_data[i].get_instance_position() - m_cache.dragging_center);
                    volume.set_volume_offset(m_cache.dragging_center - m_cache.volumes_data[i].get_instance_position() + offset);
                }
                volume.set_volume_scaling_factor(new_scale);
            }
        }
    }

#if !DISABLE_INSTANCES_SYNCH
    if (m_mode == Instance)
        synchronize_unselected_instances(SYNC_ROTATION_NONE);
    else if (m_mode == Volume)
        synchronize_unselected_volumes();
#endif // !DISABLE_INSTANCES_SYNCH

    ensure_on_bed();

    this->set_bounding_boxes_dirty();
}

void Selection::scale_to_fit_print_volume(const DynamicPrintConfig& config)
{
    if (is_empty() || (m_mode == Volume))
        return;

    // adds 1/100th of a mm on all sides to avoid false out of print volume detections due to floating-point roundings
    Vec3d box_size = get_bounding_box().size() + 0.01 * Vec3d::Ones();

    const ConfigOptionPoints* opt = dynamic_cast<const ConfigOptionPoints*>(config.option("bed_shape"));
    if (opt != nullptr)
    {
        BoundingBox bed_box_2D = get_extents(Polygon::new_scale(opt->values));
        BoundingBoxf3 print_volume(Vec3d(unscale<double>(bed_box_2D.min(0)), unscale<double>(bed_box_2D.min(1)), 0.0), Vec3d(unscale<double>(bed_box_2D.max(0)), unscale<double>(bed_box_2D.max(1)), config.opt_float("max_print_height")));
        Vec3d print_volume_size = print_volume.size();
        double sx = (box_size(0) != 0.0) ? print_volume_size(0) / box_size(0) : 0.0;
        double sy = (box_size(1) != 0.0) ? print_volume_size(1) / box_size(1) : 0.0;
        double sz = (box_size(2) != 0.0) ? print_volume_size(2) / box_size(2) : 0.0;
        if ((sx != 0.0) && (sy != 0.0) && (sz != 0.0))
        {
            double s = std::min(sx, std::min(sy, sz));
            if (s != 1.0)
            {
                wxGetApp().plater()->take_snapshot(_(L("Scale To Fit")));

                TransformationType type;
                type.set_world();
                type.set_relative();
                type.set_joint();

                // apply scale
                start_dragging();
                scale(s * Vec3d::Ones(), type);
                wxGetApp().plater()->canvas3D()->do_scale(""); // avoid storing another snapshot

                // center selection on print bed
                start_dragging();
                translate(print_volume.center() - get_bounding_box().center());
                wxGetApp().plater()->canvas3D()->do_move(""); // avoid storing another snapshot

                wxGetApp().obj_manipul()->set_dirty();
            }
        }
    }
}

void Selection::mirror(Axis axis)
{
    if (!m_valid)
        return;

    bool single_full_instance = is_single_full_instance();

    for (unsigned int i : m_list)
    {
        if (single_full_instance)
            (*m_volumes)[i]->set_instance_mirror(axis, -(*m_volumes)[i]->get_instance_mirror(axis));
        else if (m_mode == Volume)
            (*m_volumes)[i]->set_volume_mirror(axis, -(*m_volumes)[i]->get_volume_mirror(axis));
    }

#if !DISABLE_INSTANCES_SYNCH
    if (m_mode == Instance)
        synchronize_unselected_instances(SYNC_ROTATION_NONE);
    else if (m_mode == Volume)
        synchronize_unselected_volumes();
#endif // !DISABLE_INSTANCES_SYNCH

    this->set_bounding_boxes_dirty();
}

void Selection::translate(unsigned int object_idx, const Vec3d& displacement)
{
    if (!m_valid)
        return;

    for (unsigned int i : m_list)
    {
        GLVolume* v = (*m_volumes)[i];
        if (v->object_idx() == (int)object_idx)
            v->set_instance_offset(v->get_instance_offset() + displacement);
    }

    std::set<unsigned int> done;  // prevent processing volumes twice
    done.insert(m_list.begin(), m_list.end());

    for (unsigned int i : m_list)
    {
        if (done.size() == m_volumes->size())
            break;

        int object_idx = (*m_volumes)[i]->object_idx();
        if (object_idx >= 1000)
            continue;

        // Process unselected volumes of the object.
        for (unsigned int j = 0; j < (unsigned int)m_volumes->size(); ++j)
        {
            if (done.size() == m_volumes->size())
                break;

            if (done.find(j) != done.end())
                continue;

            GLVolume* v = (*m_volumes)[j];
            if (v->object_idx() != object_idx)
                continue;

            v->set_instance_offset(v->get_instance_offset() + displacement);
            done.insert(j);
        }
    }

    this->set_bounding_boxes_dirty();
}

void Selection::translate(unsigned int object_idx, unsigned int instance_idx, const Vec3d& displacement)
{
    if (!m_valid)
        return;

    for (unsigned int i : m_list)
    {
        GLVolume* v = (*m_volumes)[i];
        if ((v->object_idx() == (int)object_idx) && (v->instance_idx() == (int)instance_idx))
            v->set_instance_offset(v->get_instance_offset() + displacement);
    }

    std::set<unsigned int> done;  // prevent processing volumes twice
    done.insert(m_list.begin(), m_list.end());

    for (unsigned int i : m_list)
    {
        if (done.size() == m_volumes->size())
            break;

        int object_idx = (*m_volumes)[i]->object_idx();
        if (object_idx >= 1000)
            continue;

        // Process unselected volumes of the object.
        for (unsigned int j = 0; j < (unsigned int)m_volumes->size(); ++j)
        {
            if (done.size() == m_volumes->size())
                break;

            if (done.find(j) != done.end())
                continue;

            GLVolume* v = (*m_volumes)[j];
            if ((v->object_idx() != object_idx) || (v->instance_idx() != (int)instance_idx))
                continue;

            v->set_instance_offset(v->get_instance_offset() + displacement);
            done.insert(j);
        }
    }

    this->set_bounding_boxes_dirty();
}

void Selection::erase()
{
    if (!m_valid)
        return;

    if (is_single_full_object())
        wxGetApp().obj_list()->delete_from_model_and_list(ItemType::itObject, get_object_idx(), 0);
    else if (is_multiple_full_object())
    {
        std::vector<ItemForDelete> items;
        items.reserve(m_cache.content.size());
        for (ObjectIdxsToInstanceIdxsMap::iterator it = m_cache.content.begin(); it != m_cache.content.end(); ++it)
        {
            items.emplace_back(ItemType::itObject, it->first, 0);
        }
        wxGetApp().obj_list()->delete_from_model_and_list(items);
    }
    else if (is_multiple_full_instance())
    {
        std::set<std::pair<int, int>> instances_idxs;
        for (ObjectIdxsToInstanceIdxsMap::iterator obj_it = m_cache.content.begin(); obj_it != m_cache.content.end(); ++obj_it)
        {
            for (InstanceIdxsList::reverse_iterator inst_it = obj_it->second.rbegin(); inst_it != obj_it->second.rend(); ++inst_it)
            {
                instances_idxs.insert(std::make_pair(obj_it->first, *inst_it));
            }
        }

        std::vector<ItemForDelete> items;
        items.reserve(instances_idxs.size());
        for (const std::pair<int, int>& i : instances_idxs)
        {
            items.emplace_back(ItemType::itInstance, i.first, i.second);
        }
        wxGetApp().obj_list()->delete_from_model_and_list(items);
    }
    else if (is_single_full_instance())
        wxGetApp().obj_list()->delete_from_model_and_list(ItemType::itInstance, get_object_idx(), get_instance_idx());
    else if (is_mixed())
    {
        std::set<ItemForDelete> items_set;
        std::map<int, int> volumes_in_obj;

        for (auto i : m_list) {
            const auto gl_vol = (*m_volumes)[i];
            const auto glv_obj_idx = gl_vol->object_idx();
            const auto model_object = m_model->objects[glv_obj_idx];

            if (model_object->instances.size() == 1) {
                if (model_object->volumes.size() == 1)
                    items_set.insert(ItemForDelete(ItemType::itObject, glv_obj_idx, -1));
                else {
                    items_set.insert(ItemForDelete(ItemType::itVolume, glv_obj_idx, gl_vol->volume_idx()));
                    int idx = (volumes_in_obj.find(glv_obj_idx) == volumes_in_obj.end()) ? 0 : volumes_in_obj.at(glv_obj_idx);
                    volumes_in_obj[glv_obj_idx] = ++idx;
                }
                continue;
            }

            const auto glv_ins_idx = gl_vol->instance_idx();

            for (auto obj_ins : m_cache.content) {
                if (obj_ins.first == glv_obj_idx) {
                    if (obj_ins.second.find(glv_ins_idx) != obj_ins.second.end()) {
                        if (obj_ins.second.size() == model_object->instances.size())
                            items_set.insert(ItemForDelete(ItemType::itVolume, glv_obj_idx, gl_vol->volume_idx()));
                        else
                            items_set.insert(ItemForDelete(ItemType::itInstance, glv_obj_idx, glv_ins_idx));

                        break;
                    }
                }
            }
        }

        std::vector<ItemForDelete> items;
        items.reserve(items_set.size());
        for (const ItemForDelete& i : items_set) {
            if (i.type == ItemType::itVolume) {
                const int vol_in_obj_cnt = volumes_in_obj.find(i.obj_idx) == volumes_in_obj.end() ? 0 : volumes_in_obj.at(i.obj_idx);
                if (vol_in_obj_cnt == (int)m_model->objects[i.obj_idx]->volumes.size()) {
                    if (i.sub_obj_idx == vol_in_obj_cnt - 1)
                        items.emplace_back(ItemType::itObject, i.obj_idx, 0);
                    continue;
                }
            }
            items.emplace_back(i.type, i.obj_idx, i.sub_obj_idx);
        }

        wxGetApp().obj_list()->delete_from_model_and_list(items);
    }
    else
    {
        std::set<std::pair<int, int>> volumes_idxs;
        for (unsigned int i : m_list)
        {
            const GLVolume* v = (*m_volumes)[i];
            // Only remove volumes associated with ModelVolumes from the object list.
            // Temporary meshes (SLA supports or pads) are not managed by the object list.
            if (v->volume_idx() >= 0)
                volumes_idxs.insert(std::make_pair(v->object_idx(), v->volume_idx()));
        }

        std::vector<ItemForDelete> items;
        items.reserve(volumes_idxs.size());
        for (const std::pair<int, int>& v : volumes_idxs)
        {
            items.emplace_back(ItemType::itVolume, v.first, v.second);
        }

        wxGetApp().obj_list()->delete_from_model_and_list(items);
    }
}

void Selection::render(float scale_factor) const
{
    if (!m_valid || is_empty())
        return;

    m_scale_factor = scale_factor;

    // render cumulative bounding box of selected volumes
    render_selected_volumes();
    render_synchronized_volumes();
}

#if ENABLE_RENDER_SELECTION_CENTER
void Selection::render_center(bool gizmo_is_dragging) const
{
    if (!m_valid || is_empty() || (m_quadric == nullptr))
        return;

    Vec3d center = gizmo_is_dragging ? m_cache.dragging_center : get_bounding_box().center();

    glsafe(::glDisable(GL_DEPTH_TEST));

    glsafe(::glEnable(GL_LIGHTING));

    glsafe(::glColor3f(1.0f, 1.0f, 1.0f));
    glsafe(::glPushMatrix());
    glsafe(::glTranslated(center(0), center(1), center(2)));
    glsafe(::gluSphere(m_quadric, 0.75, 32, 32));
    glsafe(::glPopMatrix());

    glsafe(::glDisable(GL_LIGHTING));
}
#endif // ENABLE_RENDER_SELECTION_CENTER

void Selection::render_sidebar_hints(const std::string& sidebar_field, const Shader& shader) const
{
    if (sidebar_field.empty())
        return;

    if (!boost::starts_with(sidebar_field, "layer"))
    {
        shader.start_using();
        glsafe(::glClear(GL_DEPTH_BUFFER_BIT));
        glsafe(::glEnable(GL_LIGHTING));
    }

    glsafe(::glEnable(GL_DEPTH_TEST));

    glsafe(::glPushMatrix());

    if (!boost::starts_with(sidebar_field, "layer"))
    {
        const Vec3d& center = get_bounding_box().center();

        if (is_single_full_instance() && !wxGetApp().obj_manipul()->get_world_coordinates())
        {
            glsafe(::glTranslated(center(0), center(1), center(2)));
            if (!boost::starts_with(sidebar_field, "position"))
            {
                Transform3d orient_matrix = Transform3d::Identity();
                if (boost::starts_with(sidebar_field, "scale"))
                    orient_matrix = (*m_volumes)[*m_list.begin()]->get_instance_transformation().get_matrix(true, false, true, true);
                else if (boost::starts_with(sidebar_field, "rotation"))
                {
                    if (boost::ends_with(sidebar_field, "x"))
                        orient_matrix = (*m_volumes)[*m_list.begin()]->get_instance_transformation().get_matrix(true, false, true, true);
                    else if (boost::ends_with(sidebar_field, "y"))
                    {
                        const Vec3d& rotation = (*m_volumes)[*m_list.begin()]->get_instance_transformation().get_rotation();
                        if (rotation(0) == 0.0)
                            orient_matrix = (*m_volumes)[*m_list.begin()]->get_instance_transformation().get_matrix(true, false, true, true);
                        else
                            orient_matrix.rotate(Eigen::AngleAxisd(rotation(2), Vec3d::UnitZ()));
                    }
                }

                glsafe(::glMultMatrixd(orient_matrix.data()));
            }
        }
        else if (is_single_volume() || is_single_modifier())
        {
            glsafe(::glTranslated(center(0), center(1), center(2)));
            Transform3d orient_matrix = (*m_volumes)[*m_list.begin()]->get_instance_transformation().get_matrix(true, false, true, true);
            if (!boost::starts_with(sidebar_field, "position"))
                orient_matrix = orient_matrix * (*m_volumes)[*m_list.begin()]->get_volume_transformation().get_matrix(true, false, true, true);

            glsafe(::glMultMatrixd(orient_matrix.data()));
        }
        else
        {
            glsafe(::glTranslated(center(0), center(1), center(2)));
            if (requires_local_axes())
            {
                Transform3d orient_matrix = (*m_volumes)[*m_list.begin()]->get_instance_transformation().get_matrix(true, false, true, true);
                glsafe(::glMultMatrixd(orient_matrix.data()));
            }
        }
    }

    if (boost::starts_with(sidebar_field, "position"))
        render_sidebar_position_hints(sidebar_field);
    else if (boost::starts_with(sidebar_field, "rotation"))
        render_sidebar_rotation_hints(sidebar_field);
    else if (boost::starts_with(sidebar_field, "scale"))
        render_sidebar_scale_hints(sidebar_field);
    else if (boost::starts_with(sidebar_field, "size"))
        render_sidebar_size_hints(sidebar_field);
    else if (boost::starts_with(sidebar_field, "layer"))
        render_sidebar_layers_hints(sidebar_field);

    glsafe(::glPopMatrix());

    if (!boost::starts_with(sidebar_field, "layer"))
    {
        glsafe(::glDisable(GL_LIGHTING));
        shader.stop_using();
    }
}

bool Selection::requires_local_axes() const
{
    return (m_mode == Volume) && is_from_single_instance();
}

void Selection::copy_to_clipboard()
{
    if (!m_valid)
        return;

    m_clipboard.reset();

    for (const ObjectIdxsToInstanceIdxsMap::value_type& object : m_cache.content)
    {
        ModelObject* src_object = m_model->objects[object.first];
        ModelObject* dst_object = m_clipboard.add_object();
        dst_object->name                 = src_object->name;
        dst_object->input_file           = src_object->input_file;
		static_cast<DynamicPrintConfig&>(dst_object->config) = static_cast<const DynamicPrintConfig&>(src_object->config);
        dst_object->sla_support_points   = src_object->sla_support_points;
        dst_object->sla_points_status    = src_object->sla_points_status;
        dst_object->sla_drain_holes      = src_object->sla_drain_holes;
        dst_object->layer_config_ranges  = src_object->layer_config_ranges;     // #ys_FIXME_experiment
        dst_object->layer_height_profile = src_object->layer_height_profile;
        dst_object->origin_translation   = src_object->origin_translation;

        for (int i : object.second)
        {
            dst_object->add_instance(*src_object->instances[i]);
        }

        for (unsigned int i : m_list)
        {
            // Copy the ModelVolumes only for the selected GLVolumes of the 1st selected instance.
            const GLVolume* volume = (*m_volumes)[i];
            if ((volume->object_idx() == object.first) && (volume->instance_idx() == *object.second.begin()))
            {
                int volume_idx = volume->volume_idx();
                if ((0 <= volume_idx) && (volume_idx < (int)src_object->volumes.size()))
                {
                    ModelVolume* src_volume = src_object->volumes[volume_idx];
                    ModelVolume* dst_volume = dst_object->add_volume(*src_volume);
                    dst_volume->set_new_unique_id();
                } else {
                    assert(false);
                }
            }
        }
    }

    m_clipboard.set_mode(m_mode);
}

void Selection::paste_from_clipboard()
{
    if (!m_valid || m_clipboard.is_empty())
        return;

    switch (m_clipboard.get_mode())
    {
    case Volume:
    {
        if (is_from_single_instance())
            paste_volumes_from_clipboard();

        break;
    }
    case Instance:
    {
        if (m_mode == Instance)
            paste_objects_from_clipboard();

        break;
    }
    }
}

std::vector<unsigned int> Selection::get_volume_idxs_from_object(unsigned int object_idx) const
{
    std::vector<unsigned int> idxs;

    for (unsigned int i = 0; i < (unsigned int)m_volumes->size(); ++i)
    {
        if ((*m_volumes)[i]->object_idx() == (int)object_idx)
            idxs.push_back(i);
    }

    return idxs;
}

std::vector<unsigned int> Selection::get_volume_idxs_from_instance(unsigned int object_idx, unsigned int instance_idx) const
{
    std::vector<unsigned int> idxs;

    for (unsigned int i = 0; i < (unsigned int)m_volumes->size(); ++i)
    {
        const GLVolume* v = (*m_volumes)[i];
        if ((v->object_idx() == (int)object_idx) && (v->instance_idx() == (int)instance_idx))
            idxs.push_back(i);
    }

    return idxs;
}

std::vector<unsigned int> Selection::get_volume_idxs_from_volume(unsigned int object_idx, unsigned int instance_idx, unsigned int volume_idx) const
{
    std::vector<unsigned int> idxs;

    for (unsigned int i = 0; i < (unsigned int)m_volumes->size(); ++i)
    {
        const GLVolume* v = (*m_volumes)[i];
        if ((v->object_idx() == (int)object_idx) && (v->volume_idx() == (int)volume_idx))
        {
            if (((int)instance_idx != -1) && (v->instance_idx() == (int)instance_idx))
                idxs.push_back(i);
        }
    }

    return idxs;
}

std::vector<unsigned int> Selection::get_missing_volume_idxs_from(const std::vector<unsigned int>& volume_idxs) const
{
    std::vector<unsigned int> idxs;

    for (unsigned int i : m_list)
    {
        std::vector<unsigned int>::const_iterator it = std::find(volume_idxs.begin(), volume_idxs.end(), i);
        if (it == volume_idxs.end())
            idxs.push_back(i);
    }

    return idxs;
}

std::vector<unsigned int> Selection::get_unselected_volume_idxs_from(const std::vector<unsigned int>& volume_idxs) const
{
    std::vector<unsigned int> idxs;

    for (unsigned int i : volume_idxs)
    {
        if (m_list.find(i) == m_list.end())
            idxs.push_back(i);
    }

    return idxs;
}

void Selection::toggle_instance_printable_state()
{
    int instance_idx = get_instance_idx();
    if (instance_idx == -1)
        return;

    int obj_idx = get_object_idx();
    if ((0 <= obj_idx) && (obj_idx < (int)m_model->objects.size()))
    {
        ModelObject* model_object = m_model->objects[obj_idx];
        if ((0 <= instance_idx) && (instance_idx < (int)model_object->instances.size()))
        {
            ModelInstance* instance = model_object->instances[instance_idx];
            const bool printable = !instance->printable;

            wxString snapshot_text = model_object->instances.size() == 1 ? from_u8((boost::format("%1% %2%")
                                         % (printable ? _utf8(L("Set Printable")) : _utf8(L("Set Unprintable")))
                                         % model_object->name).str()) :
                                     (printable ? _(L("Set Printable Instance")) : _(L("Set Unprintable Instance")));
            wxGetApp().plater()->take_snapshot(snapshot_text);

            instance->printable = printable;

            for (GLVolume* volume : *m_volumes)
            {
                if ((volume->object_idx() == obj_idx) && (volume->instance_idx() == instance_idx))
                    volume->printable = instance->printable;
            }

            wxGetApp().obj_list()->update_printable_state(obj_idx, instance_idx);
            wxGetApp().plater()->update();
        }
    }
}

void Selection::update_valid()
{
    m_valid = (m_volumes != nullptr) && (m_model != nullptr);
}

void Selection::update_type()
{
    m_cache.content.clear();
    m_type = Mixed;

    for (unsigned int i : m_list)
    {
        const GLVolume* volume = (*m_volumes)[i];
        int obj_idx = volume->object_idx();
        int inst_idx = volume->instance_idx();
        ObjectIdxsToInstanceIdxsMap::iterator obj_it = m_cache.content.find(obj_idx);
        if (obj_it == m_cache.content.end())
            obj_it = m_cache.content.insert(ObjectIdxsToInstanceIdxsMap::value_type(obj_idx, InstanceIdxsList())).first;

        obj_it->second.insert(inst_idx);
    }

    bool requires_disable = false;

    if (!m_valid)
        m_type = Invalid;
    else
    {
        if (m_list.empty())
            m_type = Empty;
        else if (m_list.size() == 1)
        {
            const GLVolume* first = (*m_volumes)[*m_list.begin()];
            if (first->is_wipe_tower)
                m_type = WipeTower;
            else if (first->is_modifier)
            {
                m_type = SingleModifier;
                requires_disable = true;
            }
            else
            {
                const ModelObject* model_object = m_model->objects[first->object_idx()];
                unsigned int volumes_count = (unsigned int)model_object->volumes.size();
                unsigned int instances_count = (unsigned int)model_object->instances.size();
                if (volumes_count * instances_count == 1)
                {
                    m_type = SingleFullObject;
                    // ensures the correct mode is selected
                    m_mode = Instance;
                }
                else if (volumes_count == 1) // instances_count > 1
                {
                    m_type = SingleFullInstance;
                    // ensures the correct mode is selected
                    m_mode = Instance;
                }
                else
                {
                    m_type = SingleVolume;
                    requires_disable = true;
                }
            }
        }
        else
        {
            if (m_cache.content.size() == 1) // single object
            {
                const ModelObject* model_object = m_model->objects[m_cache.content.begin()->first];
                unsigned int model_volumes_count = (unsigned int)model_object->volumes.size();
                unsigned int sla_volumes_count = 0;
                for (unsigned int i : m_list)
                {
                    if ((*m_volumes)[i]->volume_idx() < 0)
                        ++sla_volumes_count;
                }
                unsigned int volumes_count = model_volumes_count + sla_volumes_count;
                unsigned int instances_count = (unsigned int)model_object->instances.size();
                unsigned int selected_instances_count = (unsigned int)m_cache.content.begin()->second.size();
                if (volumes_count * instances_count == (unsigned int)m_list.size())
                {
                    m_type = SingleFullObject;
                    // ensures the correct mode is selected
                    m_mode = Instance;
                }
                else if (selected_instances_count == 1)
                {
                    if (volumes_count == (unsigned int)m_list.size())
                    {
                        m_type = SingleFullInstance;
                        // ensures the correct mode is selected
                        m_mode = Instance;
                    }
                    else
                    {
                        unsigned int modifiers_count = 0;
                        for (unsigned int i : m_list)
                        {
                            if ((*m_volumes)[i]->is_modifier)
                                ++modifiers_count;
                        }

                        if (modifiers_count == 0)
                            m_type = MultipleVolume;
                        else if (modifiers_count == (unsigned int)m_list.size())
                            m_type = MultipleModifier;

                        requires_disable = true;
                    }
                }
                else if ((selected_instances_count > 1) && (selected_instances_count * volumes_count == (unsigned int)m_list.size()))
                {
                    m_type = MultipleFullInstance;
                    // ensures the correct mode is selected
                    m_mode = Instance;
                }
            }
            else
            {
                unsigned int sels_cntr = 0;
                for (ObjectIdxsToInstanceIdxsMap::iterator it = m_cache.content.begin(); it != m_cache.content.end(); ++it)
                {
                    const ModelObject* model_object = m_model->objects[it->first];
                    unsigned int volumes_count = (unsigned int)model_object->volumes.size();
                    unsigned int instances_count = (unsigned int)model_object->instances.size();
                    sels_cntr += volumes_count * instances_count;
                }
                if (sels_cntr == (unsigned int)m_list.size())
                {
                    m_type = MultipleFullObject;
                    // ensures the correct mode is selected
                    m_mode = Instance;
                }
            }
        }
    }

    int object_idx = get_object_idx();
    int instance_idx = get_instance_idx();
    for (GLVolume* v : *m_volumes)
    {
        v->disabled = requires_disable ? (v->object_idx() != object_idx) || (v->instance_idx() != instance_idx) : false;
    }

#if ENABLE_SELECTION_DEBUG_OUTPUT
    std::cout << "Selection: ";
    std::cout << "mode: ";
    switch (m_mode)
    {
    case Volume:
    {
        std::cout << "Volume";
        break;
    }
    case Instance:
    {
        std::cout << "Instance";
        break;
    }
    }

    std::cout << " - type: ";

    switch (m_type)
    {
    case Invalid:
    {
        std::cout << "Invalid" << std::endl;
        break;
    }
    case Empty:
    {
        std::cout << "Empty" << std::endl;
        break;
    }
    case WipeTower:
    {
        std::cout << "WipeTower" << std::endl;
        break;
    }
    case SingleModifier:
    {
        std::cout << "SingleModifier" << std::endl;
        break;
    }
    case MultipleModifier:
    {
        std::cout << "MultipleModifier" << std::endl;
        break;
    }
    case SingleVolume:
    {
        std::cout << "SingleVolume" << std::endl;
        break;
    }
    case MultipleVolume:
    {
        std::cout << "MultipleVolume" << std::endl;
        break;
    }
    case SingleFullObject:
    {
        std::cout << "SingleFullObject" << std::endl;
        break;
    }
    case MultipleFullObject:
    {
        std::cout << "MultipleFullObject" << std::endl;
        break;
    }
    case SingleFullInstance:
    {
        std::cout << "SingleFullInstance" << std::endl;
        break;
    }
    case MultipleFullInstance:
    {
        std::cout << "MultipleFullInstance" << std::endl;
        break;
    }
    case Mixed:
    {
        std::cout << "Mixed" << std::endl;
        break;
    }
    }
#endif // ENABLE_SELECTION_DEBUG_OUTPUT
}

void Selection::set_caches()
{
    m_cache.volumes_data.clear();
    for (unsigned int i = 0; i < (unsigned int)m_volumes->size(); ++i)
    {
        const GLVolume* v = (*m_volumes)[i];
        m_cache.volumes_data.emplace(i, VolumeCache(v->get_volume_transformation(), v->get_instance_transformation()));
    }
    m_cache.dragging_center = get_bounding_box().center();
}

void Selection::do_add_volume(unsigned int volume_idx)
{
    m_list.insert(volume_idx);
    (*m_volumes)[volume_idx]->selected = true;
}

void Selection::do_add_volumes(const std::vector<unsigned int>& volume_idxs)
{
    for (unsigned int i : volume_idxs)
    {
        if (i < (unsigned int)m_volumes->size())
            do_add_volume(i);
    }
}

void Selection::do_remove_volume(unsigned int volume_idx)
{
    IndicesList::iterator v_it = m_list.find(volume_idx);
    if (v_it == m_list.end())
        return;

    m_list.erase(v_it);

    (*m_volumes)[volume_idx]->selected = false;
}

void Selection::do_remove_instance(unsigned int object_idx, unsigned int instance_idx)
{
    for (unsigned int i = 0; i < (unsigned int)m_volumes->size(); ++i)
    {
        GLVolume* v = (*m_volumes)[i];
        if ((v->object_idx() == (int)object_idx) && (v->instance_idx() == (int)instance_idx))
            do_remove_volume(i);
    }
}

void Selection::do_remove_object(unsigned int object_idx)
{
    for (unsigned int i = 0; i < (unsigned int)m_volumes->size(); ++i)
    {
        GLVolume* v = (*m_volumes)[i];
        if (v->object_idx() == (int)object_idx)
            do_remove_volume(i);
    }
}

void Selection::calc_bounding_box() const
{
    m_bounding_box = BoundingBoxf3();
    if (m_valid)
    {
        for (unsigned int i : m_list)
        {
            m_bounding_box.merge((*m_volumes)[i]->transformed_convex_hull_bounding_box());
        }
    }
	m_bounding_box_dirty = false;
}

void Selection::calc_unscaled_instance_bounding_box() const
{
	m_unscaled_instance_bounding_box = BoundingBoxf3();
	if (m_valid) {
		for (unsigned int i : m_list) {
			const GLVolume &volume = *(*m_volumes)[i];
            if (volume.is_modifier)
                continue;
			Transform3d trafo = volume.get_instance_transformation().get_matrix(false, false, true, false) * volume.get_volume_transformation().get_matrix();
			trafo.translation()(2) += volume.get_sla_shift_z();
			m_unscaled_instance_bounding_box.merge(volume.transformed_convex_hull_bounding_box(trafo));
		}
	}
	m_unscaled_instance_bounding_box_dirty = false;
}

void Selection::calc_scaled_instance_bounding_box() const
{
    m_scaled_instance_bounding_box = BoundingBoxf3();
    if (m_valid) {
        for (unsigned int i : m_list) {
            const GLVolume &volume = *(*m_volumes)[i];
            if (volume.is_modifier)
                continue;
            Transform3d trafo = volume.get_instance_transformation().get_matrix(false, false, false, false) * volume.get_volume_transformation().get_matrix();
            trafo.translation()(2) += volume.get_sla_shift_z();
            m_scaled_instance_bounding_box.merge(volume.transformed_convex_hull_bounding_box(trafo));
        }
    }
    m_scaled_instance_bounding_box_dirty = false;
}

void Selection::render_selected_volumes() const
{
    float color[3] = { 1.0f, 1.0f, 1.0f };
    render_bounding_box(get_bounding_box(), color);
}

void Selection::render_synchronized_volumes() const
{
    if (m_mode == Instance)
        return;

    float color[3] = { 1.0f, 1.0f, 0.0f };

    for (unsigned int i : m_list)
    {
        const GLVolume* volume = (*m_volumes)[i];
        int object_idx = volume->object_idx();
        int volume_idx = volume->volume_idx();
        for (unsigned int j = 0; j < (unsigned int)m_volumes->size(); ++j)
        {
            if (i == j)
                continue;

            const GLVolume* v = (*m_volumes)[j];
            if ((v->object_idx() != object_idx) || (v->volume_idx() != volume_idx))
                continue;

            render_bounding_box(v->transformed_convex_hull_bounding_box(), color);
        }
    }
}

void Selection::render_bounding_box(const BoundingBoxf3& box, float* color) const
{
    if (color == nullptr)
        return;

    Vec3f b_min = box.min.cast<float>();
    Vec3f b_max = box.max.cast<float>();
    Vec3f size = 0.2f * box.size().cast<float>();

    glsafe(::glEnable(GL_DEPTH_TEST));

    glsafe(::glColor3fv(color));
    glsafe(::glLineWidth(2.0f * m_scale_factor));

    ::glBegin(GL_LINES);

    ::glVertex3f(b_min(0), b_min(1), b_min(2)); ::glVertex3f(b_min(0) + size(0), b_min(1), b_min(2));
    ::glVertex3f(b_min(0), b_min(1), b_min(2)); ::glVertex3f(b_min(0), b_min(1) + size(1), b_min(2));
    ::glVertex3f(b_min(0), b_min(1), b_min(2)); ::glVertex3f(b_min(0), b_min(1), b_min(2) + size(2));

    ::glVertex3f(b_max(0), b_min(1), b_min(2)); ::glVertex3f(b_max(0) - size(0), b_min(1), b_min(2));
    ::glVertex3f(b_max(0), b_min(1), b_min(2)); ::glVertex3f(b_max(0), b_min(1) + size(1), b_min(2));
    ::glVertex3f(b_max(0), b_min(1), b_min(2)); ::glVertex3f(b_max(0), b_min(1), b_min(2) + size(2));

    ::glVertex3f(b_max(0), b_max(1), b_min(2)); ::glVertex3f(b_max(0) - size(0), b_max(1), b_min(2));
    ::glVertex3f(b_max(0), b_max(1), b_min(2)); ::glVertex3f(b_max(0), b_max(1) - size(1), b_min(2));
    ::glVertex3f(b_max(0), b_max(1), b_min(2)); ::glVertex3f(b_max(0), b_max(1), b_min(2) + size(2));

    ::glVertex3f(b_min(0), b_max(1), b_min(2)); ::glVertex3f(b_min(0) + size(0), b_max(1), b_min(2));
    ::glVertex3f(b_min(0), b_max(1), b_min(2)); ::glVertex3f(b_min(0), b_max(1) - size(1), b_min(2));
    ::glVertex3f(b_min(0), b_max(1), b_min(2)); ::glVertex3f(b_min(0), b_max(1), b_min(2) + size(2));

    ::glVertex3f(b_min(0), b_min(1), b_max(2)); ::glVertex3f(b_min(0) + size(0), b_min(1), b_max(2));
    ::glVertex3f(b_min(0), b_min(1), b_max(2)); ::glVertex3f(b_min(0), b_min(1) + size(1), b_max(2));
    ::glVertex3f(b_min(0), b_min(1), b_max(2)); ::glVertex3f(b_min(0), b_min(1), b_max(2) - size(2));

    ::glVertex3f(b_max(0), b_min(1), b_max(2)); ::glVertex3f(b_max(0) - size(0), b_min(1), b_max(2));
    ::glVertex3f(b_max(0), b_min(1), b_max(2)); ::glVertex3f(b_max(0), b_min(1) + size(1), b_max(2));
    ::glVertex3f(b_max(0), b_min(1), b_max(2)); ::glVertex3f(b_max(0), b_min(1), b_max(2) - size(2));

    ::glVertex3f(b_max(0), b_max(1), b_max(2)); ::glVertex3f(b_max(0) - size(0), b_max(1), b_max(2));
    ::glVertex3f(b_max(0), b_max(1), b_max(2)); ::glVertex3f(b_max(0), b_max(1) - size(1), b_max(2));
    ::glVertex3f(b_max(0), b_max(1), b_max(2)); ::glVertex3f(b_max(0), b_max(1), b_max(2) - size(2));

    ::glVertex3f(b_min(0), b_max(1), b_max(2)); ::glVertex3f(b_min(0) + size(0), b_max(1), b_max(2));
    ::glVertex3f(b_min(0), b_max(1), b_max(2)); ::glVertex3f(b_min(0), b_max(1) - size(1), b_max(2));
    ::glVertex3f(b_min(0), b_max(1), b_max(2)); ::glVertex3f(b_min(0), b_max(1), b_max(2) - size(2));

    glsafe(::glEnd());
}

void Selection::render_sidebar_position_hints(const std::string& sidebar_field) const
{
    if (boost::ends_with(sidebar_field, "x"))
    {
        glsafe(::glRotated(-90.0, 0.0, 0.0, 1.0));
        render_sidebar_position_hint(X);
    }
    else if (boost::ends_with(sidebar_field, "y"))
        render_sidebar_position_hint(Y);
    else if (boost::ends_with(sidebar_field, "z"))
    {
        glsafe(::glRotated(90.0, 1.0, 0.0, 0.0));
        render_sidebar_position_hint(Z);
    }
}

void Selection::render_sidebar_rotation_hints(const std::string& sidebar_field) const
{
    if (boost::ends_with(sidebar_field, "x"))
    {
        glsafe(::glRotated(90.0, 0.0, 1.0, 0.0));
        render_sidebar_rotation_hint(X);
    }
    else if (boost::ends_with(sidebar_field, "y"))
    {
        glsafe(::glRotated(-90.0, 1.0, 0.0, 0.0));
        render_sidebar_rotation_hint(Y);
    }
    else if (boost::ends_with(sidebar_field, "z"))
        render_sidebar_rotation_hint(Z);
}

void Selection::render_sidebar_scale_hints(const std::string& sidebar_field) const
{
    bool uniform_scale = requires_uniform_scale() || wxGetApp().obj_manipul()->get_uniform_scaling();

    if (boost::ends_with(sidebar_field, "x") || uniform_scale)
    {
        glsafe(::glPushMatrix());
        glsafe(::glRotated(-90.0, 0.0, 0.0, 1.0));
        render_sidebar_scale_hint(X);
        glsafe(::glPopMatrix());
    }

    if (boost::ends_with(sidebar_field, "y") || uniform_scale)
    {
        glsafe(::glPushMatrix());
        render_sidebar_scale_hint(Y);
        glsafe(::glPopMatrix());
    }

    if (boost::ends_with(sidebar_field, "z") || uniform_scale)
    {
        glsafe(::glPushMatrix());
        glsafe(::glRotated(90.0, 1.0, 0.0, 0.0));
        render_sidebar_scale_hint(Z);
        glsafe(::glPopMatrix());
    }
}

void Selection::render_sidebar_size_hints(const std::string& sidebar_field) const
{
    render_sidebar_scale_hints(sidebar_field);
}

void Selection::render_sidebar_layers_hints(const std::string& sidebar_field) const
{
    static const double Margin = 10.0;

    std::string field = sidebar_field;

    // extract max_z
    std::string::size_type pos = field.rfind("_");
    if (pos == std::string::npos)
        return;

    double max_z = std::stod(field.substr(pos + 1));

    // extract min_z
    field = field.substr(0, pos);
    pos = field.rfind("_");
    if (pos == std::string::npos)
        return;

    double min_z = std::stod(field.substr(pos + 1));

    // extract type
    field = field.substr(0, pos);
    pos = field.rfind("_");
    if (pos == std::string::npos)
        return;

    int type = std::stoi(field.substr(pos + 1));

    const BoundingBoxf3& box = get_bounding_box();

    const float min_x = box.min(0) - Margin;
    const float max_x = box.max(0) + Margin;
    const float min_y = box.min(1) - Margin;
    const float max_y = box.max(1) + Margin;

    // view dependend order of rendering to keep correct transparency
    bool camera_on_top = wxGetApp().plater()->get_camera().is_looking_downward();
    float z1 = camera_on_top ? min_z : max_z;
    float z2 = camera_on_top ? max_z : min_z;

    glsafe(::glEnable(GL_DEPTH_TEST));
    glsafe(::glDisable(GL_CULL_FACE));
    glsafe(::glEnable(GL_BLEND));
    glsafe(::glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA));

    ::glBegin(GL_QUADS);
    if ((camera_on_top && (type == 1)) || (!camera_on_top && (type == 2)))
        ::glColor4f(1.0f, 0.38f, 0.0f, 1.0f);
    else
        ::glColor4f(0.8f, 0.8f, 0.8f, 0.5f);
    ::glVertex3f(min_x, min_y, z1);
    ::glVertex3f(max_x, min_y, z1);
    ::glVertex3f(max_x, max_y, z1);
    ::glVertex3f(min_x, max_y, z1);
    glsafe(::glEnd());

    ::glBegin(GL_QUADS);
    if ((camera_on_top && (type == 2)) || (!camera_on_top && (type == 1)))
        ::glColor4f(1.0f, 0.38f, 0.0f, 1.0f);
    else
        ::glColor4f(0.8f, 0.8f, 0.8f, 0.5f);
    ::glVertex3f(min_x, min_y, z2);
    ::glVertex3f(max_x, min_y, z2);
    ::glVertex3f(max_x, max_y, z2);
    ::glVertex3f(min_x, max_y, z2);
    glsafe(::glEnd());

    glsafe(::glEnable(GL_CULL_FACE));
    glsafe(::glDisable(GL_BLEND));
}

void Selection::render_sidebar_position_hint(Axis axis) const
{
    m_arrow.set_color(AXES_COLOR[axis], 3);
    m_arrow.render();
}

void Selection::render_sidebar_rotation_hint(Axis axis) const
{
    m_curved_arrow.set_color(AXES_COLOR[axis], 3);
    m_curved_arrow.render();

    glsafe(::glRotated(180.0, 0.0, 0.0, 1.0));
    m_curved_arrow.render();
}

void Selection::render_sidebar_scale_hint(Axis axis) const
{
    m_arrow.set_color(((requires_uniform_scale() || wxGetApp().obj_manipul()->get_uniform_scaling()) ? UNIFORM_SCALE_COLOR : AXES_COLOR[axis]), 3);

    glsafe(::glTranslated(0.0, 5.0, 0.0));
    m_arrow.render();

    glsafe(::glTranslated(0.0, -10.0, 0.0));
    glsafe(::glRotated(180.0, 0.0, 0.0, 1.0));
    m_arrow.render();
}

void Selection::render_sidebar_size_hint(Axis axis, double length) const
{
}

#ifndef NDEBUG
static bool is_rotation_xy_synchronized(const Vec3d &rot_xyz_from, const Vec3d &rot_xyz_to)
{
    Eigen::AngleAxisd angle_axis(Geometry::rotation_xyz_diff(rot_xyz_from, rot_xyz_to));
    Vec3d  axis = angle_axis.axis();
    double angle = angle_axis.angle();
    if (std::abs(angle) < 1e-8)
        return true;
    assert(std::abs(axis.x()) < 1e-8);
    assert(std::abs(axis.y()) < 1e-8);
    assert(std::abs(std::abs(axis.z()) - 1.) < 1e-8);
    return std::abs(axis.x()) < 1e-8 && std::abs(axis.y()) < 1e-8 && std::abs(std::abs(axis.z()) - 1.) < 1e-8;
}

static void verify_instances_rotation_synchronized(const Model &model, const GLVolumePtrs &volumes)
{
    for (size_t idx_object = 0; idx_object < model.objects.size(); ++idx_object) {
        int idx_volume_first = -1;
        for (int i = 0; i < (int)volumes.size(); ++i) {
            if (volumes[i]->object_idx() == idx_object) {
                idx_volume_first = i;
                break;
            }
        }
        assert(idx_volume_first != -1); // object without instances?
        if (idx_volume_first == -1)
            continue;
        const Vec3d &rotation0 = volumes[idx_volume_first]->get_instance_rotation();
        for (int i = idx_volume_first + 1; i < (int)volumes.size(); ++i)
            if (volumes[i]->object_idx() == idx_object) {
                const Vec3d &rotation = volumes[i]->get_instance_rotation();
                assert(is_rotation_xy_synchronized(rotation, rotation0));
            }
    }
}
#endif /* NDEBUG */

void Selection::synchronize_unselected_instances(SyncRotationType sync_rotation_type)
{
    std::set<unsigned int> done;  // prevent processing volumes twice
    done.insert(m_list.begin(), m_list.end());

    for (unsigned int i : m_list)
    {
        if (done.size() == m_volumes->size())
            break;

        const GLVolume* volume = (*m_volumes)[i];
        int object_idx = volume->object_idx();
        if (object_idx >= 1000)
            continue;

        int instance_idx = volume->instance_idx();
        const Vec3d& rotation = volume->get_instance_rotation();
        const Vec3d& scaling_factor = volume->get_instance_scaling_factor();
        const Vec3d& mirror = volume->get_instance_mirror();

        // Process unselected instances.
        for (unsigned int j = 0; j < (unsigned int)m_volumes->size(); ++j)
        {
            if (done.size() == m_volumes->size())
                break;

            if (done.find(j) != done.end())
                continue;

            GLVolume* v = (*m_volumes)[j];
            if ((v->object_idx() != object_idx) || (v->instance_idx() == instance_idx))
                continue;

            assert(is_rotation_xy_synchronized(m_cache.volumes_data[i].get_instance_rotation(), m_cache.volumes_data[j].get_instance_rotation()));
            switch (sync_rotation_type) {
            case SYNC_ROTATION_NONE:
                // z only rotation -> keep instance z
                // The X,Y rotations should be synchronized from start to end of the rotation.
                assert(is_rotation_xy_synchronized(rotation, v->get_instance_rotation()));
                break;
            case SYNC_ROTATION_FULL:
                // rotation comes from place on face -> force given z
                v->set_instance_rotation(Vec3d(rotation(0), rotation(1), rotation(2)));
                break;
            case SYNC_ROTATION_GENERAL:
                // generic rotation -> update instance z with the delta of the rotation.
                double z_diff = Geometry::rotation_diff_z(m_cache.volumes_data[i].get_instance_rotation(), m_cache.volumes_data[j].get_instance_rotation());
                v->set_instance_rotation(Vec3d(rotation(0), rotation(1), rotation(2) + z_diff));
                break;
            }

            v->set_instance_scaling_factor(scaling_factor);
            v->set_instance_mirror(mirror);

            done.insert(j);
        }
    }

#ifndef NDEBUG
    verify_instances_rotation_synchronized(*m_model, *m_volumes);
#endif /* NDEBUG */
}

void Selection::synchronize_unselected_volumes()
{
    for (unsigned int i : m_list)
    {
        const GLVolume* volume = (*m_volumes)[i];
        int object_idx = volume->object_idx();
        if (object_idx >= 1000)
            continue;

        int volume_idx = volume->volume_idx();
        const Vec3d& offset = volume->get_volume_offset();
        const Vec3d& rotation = volume->get_volume_rotation();
        const Vec3d& scaling_factor = volume->get_volume_scaling_factor();
        const Vec3d& mirror = volume->get_volume_mirror();

        // Process unselected volumes.
        for (unsigned int j = 0; j < (unsigned int)m_volumes->size(); ++j)
        {
            if (j == i)
                continue;

            GLVolume* v = (*m_volumes)[j];
            if ((v->object_idx() != object_idx) || (v->volume_idx() != volume_idx))
                continue;

            v->set_volume_offset(offset);
            v->set_volume_rotation(rotation);
            v->set_volume_scaling_factor(scaling_factor);
            v->set_volume_mirror(mirror);
        }
    }
}

void Selection::ensure_on_bed()
{
    typedef std::map<std::pair<int, int>, double> InstancesToZMap;
    InstancesToZMap instances_min_z;

    for (GLVolume* volume : *m_volumes)
    {
        if (!volume->is_wipe_tower && !volume->is_modifier)
        {
            double min_z = volume->transformed_convex_hull_bounding_box().min(2);
            std::pair<int, int> instance = std::make_pair(volume->object_idx(), volume->instance_idx());
            InstancesToZMap::iterator it = instances_min_z.find(instance);
            if (it == instances_min_z.end())
                it = instances_min_z.insert(InstancesToZMap::value_type(instance, DBL_MAX)).first;

            it->second = std::min(it->second, min_z);
        }
    }

    for (GLVolume* volume : *m_volumes)
    {
        std::pair<int, int> instance = std::make_pair(volume->object_idx(), volume->instance_idx());
        InstancesToZMap::iterator it = instances_min_z.find(instance);
        if (it != instances_min_z.end())
            volume->set_instance_offset(Z, volume->get_instance_offset(Z) - it->second);
    }
}

bool Selection::is_from_fully_selected_instance(unsigned int volume_idx) const
{
    struct SameInstance
    {
        int obj_idx;
        int inst_idx;
        GLVolumePtrs& volumes;

        SameInstance(int obj_idx, int inst_idx, GLVolumePtrs& volumes) : obj_idx(obj_idx), inst_idx(inst_idx), volumes(volumes) {}
        bool operator () (unsigned int i) { return (volumes[i]->volume_idx() >= 0) && (volumes[i]->object_idx() == obj_idx) && (volumes[i]->instance_idx() == inst_idx); }
    };

    if ((unsigned int)m_volumes->size() <= volume_idx)
        return false;

    GLVolume* volume = (*m_volumes)[volume_idx];
    int object_idx = volume->object_idx();
    if ((int)m_model->objects.size() <= object_idx)
        return false;

    unsigned int count = (unsigned int)std::count_if(m_list.begin(), m_list.end(), SameInstance(object_idx, volume->instance_idx(), *m_volumes));
    return count == (unsigned int)m_model->objects[object_idx]->volumes.size();
}

void Selection::paste_volumes_from_clipboard()
{
#ifdef _DEBUG
    check_model_ids_validity(*m_model);
#endif /* _DEBUG */

    int dst_obj_idx = get_object_idx();
    if ((dst_obj_idx < 0) || ((int)m_model->objects.size() <= dst_obj_idx))
        return;

    ModelObject* dst_object = m_model->objects[dst_obj_idx];

    int dst_inst_idx = get_instance_idx();
    if ((dst_inst_idx < 0) || ((int)dst_object->instances.size() <= dst_inst_idx))
        return;

    ModelObject* src_object = m_clipboard.get_object(0);
    if (src_object != nullptr)
    {
        ModelInstance* dst_instance = dst_object->instances[dst_inst_idx];
        BoundingBoxf3 dst_instance_bb = dst_object->instance_bounding_box(dst_inst_idx);
        Transform3d src_matrix = src_object->instances[0]->get_transformation().get_matrix(true);
        Transform3d dst_matrix = dst_instance->get_transformation().get_matrix(true);
        bool from_same_object = (src_object->input_file == dst_object->input_file) && src_matrix.isApprox(dst_matrix);

        // used to keep relative position of multivolume selections when pasting from another object
        BoundingBoxf3 total_bb;

        ModelVolumePtrs volumes;
        for (ModelVolume* src_volume : src_object->volumes)
        {
            ModelVolume* dst_volume = dst_object->add_volume(*src_volume);
            dst_volume->set_new_unique_id();
            if (from_same_object)
            {
//                // if the volume comes from the same object, apply the offset in world system
//                double offset = wxGetApp().plater()->canvas3D()->get_size_proportional_to_max_bed_size(0.05);
//                dst_volume->translate(dst_matrix.inverse() * Vec3d(offset, offset, 0.0));
            }
            else
            {
                // if the volume comes from another object, apply the offset as done when adding modifiers
                // see ObjectList::load_generic_subobject()
                total_bb.merge(dst_volume->mesh().bounding_box().transformed(src_volume->get_matrix()));
            }

            volumes.push_back(dst_volume);
#ifdef _DEBUG
		    check_model_ids_validity(*m_model);
#endif /* _DEBUG */
        }

        // keeps relative position of multivolume selections
        if (!from_same_object)
        {
            for (ModelVolume* v : volumes)
            {
                v->set_offset((v->get_offset() - total_bb.center()) + dst_matrix.inverse() * (Vec3d(dst_instance_bb.max(0), dst_instance_bb.min(1), dst_instance_bb.min(2)) + 0.5 * total_bb.size() - dst_instance->get_transformation().get_offset()));
            }
        }

        wxGetApp().obj_list()->paste_volumes_into_list(dst_obj_idx, volumes);
    }

#ifdef _DEBUG
    check_model_ids_validity(*m_model);
#endif /* _DEBUG */
}

void Selection::paste_objects_from_clipboard()
{
#ifdef _DEBUG
    check_model_ids_validity(*m_model);
#endif /* _DEBUG */

    std::vector<size_t> object_idxs;
    const ModelObjectPtrs& src_objects = m_clipboard.get_objects();
    for (const ModelObject* src_object : src_objects)
    {
        ModelObject* dst_object = m_model->add_object(*src_object);
        double offset = wxGetApp().plater()->canvas3D()->get_size_proportional_to_max_bed_size(0.05);
        Vec3d displacement(offset, offset, 0.0);
        for (ModelInstance* inst : dst_object->instances)
        {
            inst->set_offset(inst->get_offset() + displacement);
        }

        object_idxs.push_back(m_model->objects.size() - 1);
#ifdef _DEBUG
	    check_model_ids_validity(*m_model);
#endif /* _DEBUG */
    }

    wxGetApp().obj_list()->paste_objects_into_list(object_idxs);

#ifdef _DEBUG
    check_model_ids_validity(*m_model);
#endif /* _DEBUG */
}

} // namespace GUI
} // namespace Slic3r