/// Calculate a bound box where the faces parallel to the x-y-plane are
/// quadratic
Vector3R maxQuadraticBoundingBox(Real scale = 1) const
{
// the center of the bounding box
Vector3R center = R(0.5) * (mMinBoundingBox + mMaxBoundingBox);
// the diagonal of the bounding box
Vector3R diagonal = mMaxBoundingBox - mMinBoundingBox;
// the greatest extension of the bounding box in the x-y-plane, this will
// be the edge length of the square.
Real maxExtension = std::max(diagonal.x(), diagonal.y());
return Vector3R(center.x() + maxExtension * R(0.5) * scale,
center.y() + maxExtension * R(0.5) * scale,
mMaxBoundingBox.z());
}
void SampleSlice::compute() {
// Allocate space
resize((steps[0] + 2) * (steps[1] + 2), -std::numeric_limits<real>::max());
// Compute offsets
const Vector2R &rmin = bbox.getMin();
Vector2R scale = Vector2R(bbox.getWidth() / steps.x(),
bbox.getLength() / steps.y());
Vector3R p = Vector3R(0, 0, z);
// TODO Culling?
// Sample
//real *array = (*this)[0];
for (unsigned y = 0; y < steps.y() + 2; y++) {
p.y() = rmin.y() + y * scale.y();
for (unsigned x = 0; x < steps.x() + 2; x++) {
p.x() = rmin.x() + x * scale.x();
// TODO func.getSample() was removed
//*array++ = func.getSample(p);
}
}
}
real ConicSweep::depth(const Vector3R &A, const Vector3R &B,
const Vector3R &P) const {
const double Ax = A.x(), Ay = A.y(), Az = A.z();
const double Bx = B.x(), By = B.y(), Bz = B.z();
const double Px = P.x(), Py = P.y(), Pz = P.z();
// Check z-height
if (Pz < min(Az, Bz) || max(Az, Bz) + l < Pz) return -1;
// epsilon * beta^2 + gamma * beta + rho = 0
double epsilon = sqr(Bx - Ax) + sqr(By - Ay) - sqr(Tm * (Bz - Az));
// If this is a straight up and down move of a cylindrical tool choose
// a fake arbitrarily small epsilon.
if (epsilon == 0 && Bz != Az && Tm == 0) epsilon = 0.000000001;
const double gamma = (Ax - Px) * (Bx - Ax) + (Ay - Py) * (By - Ay) +
(sqr(Tm) * (Az - Pz) - Tm * rb) * (Az - Bz);
const double rho = sqr(Ax - Px) + sqr(Ay - Py) - sqr(Tm * (Az - Pz) - rb);
const double sigma = sqr(gamma) - epsilon * rho;
// Check if solution is valid
if (epsilon == 0 || sigma < 0) return -1;
double beta = (-gamma - sqrt(sigma)) / epsilon; // Quadradic equation
// Check if z-heights make sense
const double Qz = (Bz - Az) * beta + Az;
// Check if the point is cut by the flat top or bottom
if (Pz < Qz || Qz + l < Pz) {
beta = Pz / (Bz - Az); // E is on AB at z-height
// Compute squared distance to E on XY plane
const double Ex = beta * (Bx - Ax) + Ax;
const double Ey = beta * (By - Ay) + Ay;
const double d2 = sqr(Ex - Px) + sqr(Ey - Py);
if (Pz < Qz && rb * rb < d2) return -1;
if (Qz + l < Pz && rt * rt < d2) return -1;
}
// Check that it's on the line segment
if (beta < 0 || 1 < beta) return -1;
return 1;
}
void Project::updateAutomaticWorkpiece(ToolPath &path) {
if (!getAutomaticWorkpiece()) return;
setAutomaticWorkpiece(true);
Rectangle3R wpBounds;
// Guess workpiece bounds from cutting moves
vector<SmartPointer<Sweep> > sweeps;
vector<Rectangle3R> bboxes;
for (unsigned i = 0; i < path.size(); i++) {
const Move &move = path.at(i);
if (move.getType() == MoveType::MOVE_RAPID) continue;
int tool = move.getTool();
if (tool < 0) continue;
if (sweeps.size() <= (unsigned)tool) sweeps.resize(tool + 1);
if (sweeps[tool].isNull()) sweeps[tool] = tools.get(tool).getSweep();
sweeps[tool]->getBBoxes(move.getStartPt(), move.getEndPt(), bboxes, 0);
}
for (unsigned i = 0; i < bboxes.size(); i++) wpBounds.add(bboxes[i]);
if (wpBounds == Rectangle3R()) return;
// Start from z = 0
Vector3R bMin = wpBounds.getMin();
Vector3R bMax = wpBounds.getMax();
wpBounds = Rectangle3R(bMin, Vector3R(bMax.x(), bMax.y(), 0));
// At least 2mm thick
if (wpBounds.getHeight() < 2)
wpBounds.add(Vector3R(bMin.x(), bMin.y(), bMin.z() - 2));
if (wpBounds.isReal()) {
// Margin
Vector3R margin =
wpBounds.getDimensions() * getWorkpieceMargin() / 100.0;
wpBounds.add(wpBounds.getMin() - margin);
wpBounds.add(wpBounds.getMax() + Vector3R(margin.x(), margin.y(), 0));
setWorkpieceBounds(wpBounds);
}
}
void QtWin::updateToolPathBounds() {
Rectangle3R bounds = *toolPath;
Vector3R bMin = bounds.getMin();
Vector3R bMax = bounds.getMax();
Vector3R bDim = bounds.getDimensions();
setUnitLabel(ui->toolPathBoundsXMinLabel, bMin.x());
setUnitLabel(ui->toolPathBoundsXMaxLabel, bMax.x());
setUnitLabel(ui->toolPathBoundsXDimLabel, bDim.x());
setUnitLabel(ui->toolPathBoundsYMinLabel, bMin.y());
setUnitLabel(ui->toolPathBoundsYMaxLabel, bMax.y());
setUnitLabel(ui->toolPathBoundsYDimLabel, bDim.y());
setUnitLabel(ui->toolPathBoundsZMinLabel, bMin.z());
setUnitLabel(ui->toolPathBoundsZMaxLabel, bMax.z());
setUnitLabel(ui->toolPathBoundsZDimLabel, bDim.z());
}
RBuffer2D Sample::projectedPotential(int64_t cols, int64_t rows,
Vector3R minCoords, Vector3R maxCoords,
Real cutoff,
const std::string& parametrization) const
{
RBuffer2D projPotential(cols, rows, R(0.0));
auto periodicTable = FormFactorParametrization::create(parametrization);
const Real cutoffSqr = cutoff * cutoff;
for (auto atom : mAtoms)
{
Vector3R atomPosition = atom.position();
const Element& element = periodicTable->element(atom.atomicNumber(),
atom.charge());
#pragma omp parallel for
for (int64_t j = 0; j < rows; ++j)
{
const Real fracY = static_cast<Real>(j) / static_cast<Real>(rows);
const Real y = lerp(minCoords.y(), maxCoords.y(), fracY);
const Real deltaYSqr = powerOf<2>(y - atomPosition.y());
if (deltaYSqr > cutoffSqr)
continue;
for (int64_t i = 0; i < cols; ++i)
{
const Real fracX = static_cast<Real>(i) / static_cast<Real>(cols);
const Real x = lerp(minCoords.x(), maxCoords.x(), fracX);
const Real deltaXSqr = powerOf<2>(x - atomPosition.x());
const Real rhoSqr = deltaXSqr + deltaYSqr;
if (rhoSqr > cutoffSqr)
continue;
projPotential.pixel(i, j) += element.projectedPotential(rhoSqr);
}
}
}
return projPotential;
}
void QtWin::updateWorkpieceBounds() {
if (project.isNull()) return;
Rectangle3R bounds = project->getWorkpieceBounds();
Vector3R bMin = bounds.getMin();
Vector3R bMax = bounds.getMax();
Vector3R bDim = bounds.getDimensions();
setUnitLabel(ui->workpieceBoundsXMinLabel, bMin.x());
setUnitLabel(ui->workpieceBoundsXMaxLabel, bMax.x());
setUnitLabel(ui->workpieceBoundsXDimLabel, bDim.x());
setUnitLabel(ui->workpieceBoundsYMinLabel, bMin.y());
setUnitLabel(ui->workpieceBoundsYMaxLabel, bMax.y());
setUnitLabel(ui->workpieceBoundsYDimLabel, bDim.y());
setUnitLabel(ui->workpieceBoundsZMinLabel, bMin.z());
setUnitLabel(ui->workpieceBoundsZMaxLabel, bMax.z());
setUnitLabel(ui->workpieceBoundsZDimLabel, bDim.z());
}
void MultisliceParameters::setBox(const Vector3R& minBox,
const Vector3R& maxBox,
Real deltaZ)
{
mMinBox = minBox;
mMaxBox = maxBox;
setSize(maxBox.x() - minBox.x(), maxBox.y() - minBox.y());
mDepth = maxBox.z() - minBox.z();
mDeltaZ = deltaZ;
if (mDeltaZ <= 0)
AURORA_THROW(EInvalidParameter, "deltaZ must be positive");
mMinBoxes.clear();
Real z = minBox.z();
const Real maxZ = maxBox.z();
mMinBoxes.push_back(Vector3R(minBox.x(), minBox.y(), z));
do
{
z += mDeltaZ;
mMinBoxes.push_back(Vector3R(minBox.x(), minBox.y(), z));
}
while (z < maxZ);
if (verbosity >= 2)
{
for (size_t i = 0; i < numSlices(); ++i)
{
std::cout << " slice " << i << " (z1 = " << zStart(i) << ", z2 = "
<< zEnd(i) << ")\n";
}
}
if (verbosity >= 1)
std::cout << "Number of Slices: " << numSlices() << std::endl;
}
void Viewer::draw(const View &view) {
init();
SmartPointer<Surface> surface = view.surface;
// Setup view port
Rectangle3R bounds = view.path->getBounds();
if (!surface.isNull()) bounds.add(surface->getBounds());
bounds.add(view.workpiece->getBounds());
view.glDraw(bounds);
// Workpiece bounds
if (!view.isFlagSet(View::SHOW_WORKPIECE_FLAG) &&
view.isFlagSet(View::SHOW_WORKPIECE_BOUNDS_FLAG)) {
glEnable(GL_DEPTH_TEST);
glLineWidth(1);
glColor4f(1, 1, 1, 0.5); // White
BoundsView(view.workpiece->getBounds()).draw();
}
// Enable Lighting
view.setLighting(true);
// Tool path
if (view.isFlagSet(View::SHOW_PATH_FLAG)) view.path->draw();
else view.path->update();
// Model
if (view.isFlagSet(View::SHOW_WORKPIECE_FLAG | View::SHOW_SURFACE_FLAG)) {
const float ambient[] = {12.0 / 255, 45.0 / 255, 83.0 / 255, 1.00};
const float diffuse[] = {16.0 / 255, 59.0 / 255, 108.0 / 255, 1.00};
glDisable(GL_COLOR_MATERIAL);
glMaterialfv(GL_FRONT, GL_AMBIENT, ambient);
glMaterialfv(GL_FRONT, GL_DIFFUSE, diffuse);
view.setWire(view.isFlagSet(View::WIRE_FLAG));
if (!surface.isNull() && view.isFlagSet(View::SHOW_SURFACE_FLAG))
surface->draw();
if (view.isFlagSet(View::SHOW_WORKPIECE_FLAG)) view.workpiece->draw();
glEnable(GL_COLOR_MATERIAL);
view.setWire(false);
if (view.isFlagSet(View::SHOW_NORMALS_FLAG)) {
glColor4f(1.0, 1.0, 0, 0.6);
surface->drawNormals();
}
}
// Bounding box tree
// TODO revive this
//if (view.isFlagSet(View::SHOW_BBTREE_FLAG)) cutWP->drawBB();
// Tool
if (view.isFlagSet(View::SHOW_TOOL_FLAG) && !view.path->getPath().isNull()) {
Vector3R currentPosition = view.path->getPosition();
glTranslatef(currentPosition.x(), currentPosition.y(),
currentPosition.z());
ToolTable &tools = *view.path->getPath()->getTools();
const Move &move = view.path->getMove();
const Tool &tool = *tools.get(move.getTool());
double diameter = tool.getDiameter();
double radius = tool.getRadius();
double length = tool.getLength();
ToolShape shape = tool.getShape();
if (radius <= 0) {
// Default tool specs
radius = 25.4 / 8;
shape = ToolShape::TS_CONICAL;
glColor4f(1, 0, 0, 1); // Red
} else glColor4f(1, 0.5, 0, 1); // Orange
if (length <= 0) length = 50;
switch (shape) {
case ToolShape::TS_SPHEROID: {
glMatrixMode(GL_MODELVIEW);
glPushMatrix();
glTranslatef(0, 0, length / 2);
glScaled(1, 1, length / diameter);
gluSphere((GLUquadric *)toolQuad, radius, 100, 100);
glPopMatrix();
break;
}
case ToolShape::TS_BALLNOSE:
glPushMatrix();
glTranslatef(0, 0, radius);
gluSphere((GLUquadric *)toolQuad, radius, 100, 100);
drawCylinder((GLUquadric *)toolQuad, radius, radius, length - radius);
glPopMatrix();
break;
case ToolShape::TS_SNUBNOSE:
drawCylinder((GLUquadric *)toolQuad, tool.getSnubDiameter() / 2, radius,
length);
break;
case ToolShape::TS_CONICAL:
drawCylinder((GLUquadric *)toolQuad, 0, radius, length);
break;
case ToolShape::TS_CYLINDRICAL:
default:
drawCylinder((GLUquadric *)toolQuad, radius, radius, length);
break;
}
}
// Disable Lighting
view.setLighting(false);
CHECK_GL_ERROR("");
}
bool ConicSweep::contains(const Vector3R &start, const Vector3R &end,
const Vector3R &p) const {
real x1 = start.x();
real y1 = start.y();
real z1 = start.z();
real x2 = end.x();
real y2 = end.y();
real z2 = end.z();
real x = p.x();
real y = p.y();
real z = p.z();
// Z height range
real minZ = z1 < z2 ? z1 : z2;
real maxZ = z1 < z2 ? z2 : z1;
if (z < minZ || maxZ + length < z) return false;
real xLen = x2 - x1;
real yLen = y2 - y1;
real zLen = z2 - z1;
bool horizontal = z1 == z2;
bool vertical = x1 == x2 && y1 == y2;
bool conical = radius1 != radius2;
Vector2R q(x, y);
Vector2R p1(x1, y1);
Vector2R p2(x2, y2);
real conicSlope = conical ? (radius1 - radius2) / length : 0;
// Simple cases for horizontal and vertical moves
real r2;
if (conical) {
if (z <= minZ) r2 = radius2;
else if (maxZ + length <= z) r2 = radius1;
else r2 = (z - minZ) * conicSlope + radius2;
r2 *= r2;
} else r2 = radius1 * radius1;
if (vertical) return p1.distanceSquared(q) < r2;
Vector2R c = Segment2R(p1, p2).closest(q);
if (horizontal) return q.distanceSquared(c) < r2;
// Slanting move
// Find the ends of the line segment which passes through the move's
// internal parallelogram at the z-height of p
int count = 0;
Vector2R s[2];
// First check the verticals
if (z1 <= z && z <= z1 + length) s[count++] = p1;
if (z2 <= z && z <= z2 + length) s[count++] = p2;
// Check top & bottom lines of the parallelogram
if (count < 2) {
real delta;
if (minZ + length < z) delta = (z - minZ + length) / std::fabs(z2 - z1);
else delta = (z - minZ) / std::fabs(z2 - z1);
if (z1 < z2) s[count++] = p1 + (p2 - p1) * delta;
else s[count++] = p2 + (p1 - p2) * delta;
}
// Find the closest point to p on the z-line segment
c = Segment2R(s[0], s[1]).closest(q);
// Check cone tool height for closest point
if (conical) {
// NOTE Slanting move so one or both of xLen and yLen is not zero
real h = 0;
if (xLen) h = z - (z1 + (c.x() - x1) / xLen * zLen);
else if (yLen) h = z - (z1 + (c.y() - y1) / yLen * zLen);
if (h < length) {
r2 = h * conicSlope + radius2;
r2 *= r2;
}
}
real cDistSq = q.distanceSquared(c);
if (cDistSq < r2) return true;
if (!conical) return false;
// Look up and down the z-line for a closer point on the cone
real maxRadius = radius1 < radius2 ? radius2 : radius1;
real l2 = maxRadius * maxRadius - cDistSq;
real l = sqrt(l2); // How far to look
Vector2R n = (s[1] - s[0]).normalize(); // Direction vector
Vector2R a = c.distanceSquared(s[1]) < l2 ? s[1] : (c + n * l);
Vector2R b = c.distanceSquared(s[0]) < l2 ? s[0] : (c - n * l);
real aH = 0;
real bH = 0;
if (xLen) {
aH = z - (z1 + (a.x() - x1) / xLen * zLen);
bH = z - (z1 + (b.x() - x1) / xLen * zLen);
} else if (yLen) {
aH = z - (z1 + (a.y() - y1) / yLen * zLen);
bH = z - (z1 + (b.y() - y1) / yLen * zLen);
}
real h = aH < bH ? bH : aH;
c = aH < bH ? b : a;
r2 = h * conicSlope + radius2;
r2 *= r2;
return q.distanceSquared(c) < r2;
}
void ViewPort::glDraw(const Rectangle3R &bbox) const {
glMatrixMode(GL_MODELVIEW);
glLoadIdentity();
glMatrixMode(GL_PROJECTION);
glLoadIdentity();
// Background
glBegin(GL_QUADS);
glColor3ub(0x25, 0x30, 0x40);
glVertex2f(-1, -1);
glVertex2f(1, -1);
glColor3ub(0x5, 0x5, 0x5);
glVertex2f(1, 1);
glVertex2f(-1, 1);
glEnd();
// Compute "radius"
Vector3R dims = bbox.getDimensions();
real radius = dims.x() < dims.y() ? dims.y() : dims.x();
radius = dims.z() < radius ? radius : dims.z();
// Perspective
gluPerspective(45, (float)width / height, 1, 100000);
// Translate
glTranslatef(translation.x() * radius / zoom,
translation.y() * radius / zoom, 0);
// Scale
gluLookAt(0, 0, radius / zoom, 0, 0, 0, 0, 1, 0);
glMatrixMode(GL_MODELVIEW);
// Rotate
glRotated(rotation[0], rotation[1], rotation[2], rotation[3]);
// Center
Vector3R center = bbox.getCenter();
glTranslatef(-center.x(), -center.y(), -center.z());
// Axes
if (axes) {
double length = (bbox.getWidth() + bbox.getLength() + bbox.getHeight()) / 3;
length *= 0.1;
double radius = length / 20;
setLighting(true);
for (int axis = 0; axis < 3; axis++)
for (int up = 0; up < 2; up++)
drawAxis(axis, up, length, radius);
setLighting(false);
}
// Bounds
if (bounds) {
glEnable(GL_LINE_STIPPLE);
glLineStipple(1, 0x5555);
glLineWidth(1);
glColor4f(1, 1, 1, 0.5); // White
BoundsView(bbox).draw();
glDisable(GL_LINE_STIPPLE);
}
}
void CuboidView::draw() {
if (bounds == Rectangle3R()) return;
static float vertices[] = {
1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0,
0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0,
0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1,
0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1,
0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1,
0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0,
};
static float normals[] = {
1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0,
-1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0,
0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0,
0, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0,
0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1,
0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1,
};
if (glGenBuffers) {
if (!vertexVBuf) {
glGenBuffers(1, &vertexVBuf);
glBindBuffer(GL_ARRAY_BUFFER, vertexVBuf);
glBufferData(GL_ARRAY_BUFFER, 24 * 3 * sizeof(float),
vertices, GL_STATIC_DRAW);
glGenBuffers(1, &normalVBuf);
glBindBuffer(GL_ARRAY_BUFFER, normalVBuf);
glBufferData(GL_ARRAY_BUFFER, 24 * 3 * sizeof(float),
normals, GL_STATIC_DRAW);
}
glBindBuffer(GL_ARRAY_BUFFER, vertexVBuf);
glVertexPointer(3, GL_FLOAT, 0, 0);
glBindBuffer(GL_ARRAY_BUFFER, normalVBuf);
glNormalPointer(GL_FLOAT, 0, 0);
} else {
glVertexPointer(3, GL_FLOAT, 0, vertices);
glNormalPointer(GL_FLOAT, 0, normals);
}
glEnable(GL_NORMALIZE);
glEnableClientState(GL_VERTEX_ARRAY);
glEnableClientState(GL_NORMAL_ARRAY);
glPushMatrix();
Vector3R bMin = bounds.getMin();
Vector3R bDim = bounds.getDimensions();
glTranslated(bMin.x(), bMin.y(), bMin.z());
glScaled(bDim.x(), bDim.y(), bDim.z());
glDrawArrays(GL_QUADS, 0, 24);
glPopMatrix();
glDisableClientState(GL_NORMAL_ARRAY);
glDisableClientState(GL_VERTEX_ARRAY);
}