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#include "../ClipperUtils.hpp"
#include "../ShortestPath.hpp"
#include "../Surface.hpp"
#include <cmath>
#include <algorithm>
#include <iostream>
#include "FillGyroid.hpp"
namespace Slic3r {
static inline double f(double x, double z_sin, double z_cos, bool vertical, bool flip)
{
if (vertical) {
double phase_offset = (z_cos < 0 ? M_PI : 0) + M_PI;
double a = sin(x + phase_offset);
double b = - z_cos;
double res = z_sin * cos(x + phase_offset + (flip ? M_PI : 0.));
double r = sqrt(sqr(a) + sqr(b));
return asin(a/r) + asin(res/r) + M_PI;
} else {
double phase_offset = z_sin < 0 ? M_PI : 0.;
double a = cos(x + phase_offset);
double b = - z_sin;
double res = z_cos * sin(x + phase_offset + (flip ? 0 : M_PI));
double r = sqrt(sqr(a) + sqr(b));
return (asin(a/r) + asin(res/r) + 0.5 * M_PI);
}
}
static inline Polyline make_wave(
const std::vector<Vec2d>& one_period, double width, double height, double offset, double scaleFactor,
double z_cos, double z_sin, bool vertical, bool flip)
{
std::vector<Vec2d> points = one_period;
double period = points.back()(0);
if (width != period) // do not extend if already truncated
{
points.reserve(one_period.size() * size_t(floor(width / period)));
points.pop_back();
size_t n = points.size();
do {
points.emplace_back(points[points.size()-n].x() + period, points[points.size()-n].y());
} while (points.back()(0) < width - EPSILON);
points.emplace_back(Vec2d(width, f(width, z_sin, z_cos, vertical, flip)));
}
// and construct the final polyline to return:
Polyline polyline;
polyline.points.reserve(points.size());
for (auto& point : points) {
point(1) += offset;
point(1) = clamp(0., height, double(point(1)));
if (vertical)
std::swap(point(0), point(1));
polyline.points.emplace_back((point * scaleFactor).cast<coord_t>());
}
return polyline;
}
static std::vector<Vec2d> make_one_period(double width, double scaleFactor, double z_cos, double z_sin, bool vertical, bool flip, double tolerance)
{
std::vector<Vec2d> points;
double dx = M_PI_2; // exact coordinates on main inflexion lobes
double limit = std::min(2*M_PI, width);
points.reserve(size_t(ceil(limit / tolerance / 3)));
for (double x = 0.; x < limit - EPSILON; x += dx) {
points.emplace_back(Vec2d(x, f(x, z_sin, z_cos, vertical, flip)));
}
points.emplace_back(Vec2d(limit, f(limit, z_sin, z_cos, vertical, flip)));
// piecewise increase in resolution up to requested tolerance
for(;;)
{
size_t size = points.size();
for (unsigned int i = 1;i < size; ++i) {
auto& lp = points[i-1]; // left point
auto& rp = points[i]; // right point
double x = lp(0) + (rp(0) - lp(0)) / 2;
double y = f(x, z_sin, z_cos, vertical, flip);
Vec2d ip = {x, y};
if (std::abs(cross2(Vec2d(ip - lp), Vec2d(ip - rp))) > sqr(tolerance)) {
points.emplace_back(std::move(ip));
}
}
if (size == points.size())
break;
else
{
// insert new points in order
std::sort(points.begin(), points.end(),
[](const Vec2d &lhs, const Vec2d &rhs) { return lhs(0) < rhs(0); });
}
}
return points;
}
static Polylines make_gyroid_waves(coordf_t gridZ, coordf_t scaleFactor, double width, double height, double tolerance)
{
//scale factor for 5% : 8 712 388
// 1z = 10^-6 mm ?
const double z = gridZ / scaleFactor;
const double z_sin = sin(z);
const double z_cos = cos(z);
bool vertical = (std::abs(z_sin) <= std::abs(z_cos));
double lower_bound = 0.;
double upper_bound = height;
bool flip = true;
if (vertical) {
flip = false;
lower_bound = -M_PI;
upper_bound = width - M_PI_2;
std::swap(width,height);
}
std::vector<Vec2d> one_period_odd = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip, tolerance); // creates one period of the waves, so it doesn't have to be recalculated all the time
flip = !flip; // even polylines are a bit shifted
std::vector<Vec2d> one_period_even = make_one_period(width, scaleFactor, z_cos, z_sin, vertical, flip, tolerance);
Polylines result;
for (double y0 = lower_bound; y0 < upper_bound + EPSILON; y0 += M_PI) {
// creates odd polylines
result.emplace_back(make_wave(one_period_odd, width, height, y0, scaleFactor, z_cos, z_sin, vertical, flip));
// creates even polylines
y0 += M_PI;
if (y0 < upper_bound + EPSILON) {
result.emplace_back(make_wave(one_period_even, width, height, y0, scaleFactor, z_cos, z_sin, vertical, flip));
}
}
return result;
}
// FIXME: needed to fix build on Mac on buildserver
constexpr double FillGyroid::PatternTolerance;
void FillGyroid::_fill_surface_single(
const FillParams ¶ms,
unsigned int thickness_layers,
const std::pair<float, Point> &direction,
ExPolygon expolygon,
Polylines &polylines_out) const
{
float infill_angle = float(this->angle + (CorrectionAngle * 2 * M_PI) / 360.f);
if(std::abs(infill_angle) >= EPSILON)
expolygon.rotate(-infill_angle);
BoundingBox bb = expolygon.contour.bounding_box();
// Density adjusted to have a good %of weight.
double density_adjusted = std::max(0., params.density * DensityAdjust);
// Distance between the gyroid waves in scaled coordinates.
coord_t distance = coord_t(scale_(this->get_spacing()) / density_adjusted);
// align bounding box to a multiple of our grid module
bb.merge(_align_to_grid(bb.min, Point(2*M_PI*distance, 2*M_PI*distance)));
// tolerance in scaled units. clamp the maximum tolerance as there's
// no processing-speed benefit to do so beyond a certain point
const coordf_t scaleFactor = scale_d(this->get_spacing()) / density_adjusted;
const double tolerance_old = std::min(this->get_spacing() / 2, FillGyroid::PatternTolerance) / unscaled(scaleFactor);
const double tolerance_old2 = std::min(this->get_spacing() / 2, FillGyroid::PatternTolerance) * density_adjusted / this->get_spacing();
const double tolerance = params.config->get_computed_value("resolution_internal") * density_adjusted / this->get_spacing();
std::cout << "gyroid tolerance: " << tolerance_old << " == " << tolerance_old2 << " ? "<< tolerance << "\n";
std::cout << "this->get_spacing(): " << this->get_spacing() << " , scaleFactor= " << unscaled(scaleFactor) << " , min(spa, 0.2)= " << std::min(this->get_spacing() / 2, FillGyroid::PatternTolerance) << "\n";
// generate pattern
Polylines polylines = make_gyroid_waves(
scale_d(this->z),
scaleFactor,
ceil(bb.size()(0) / distance) + 1.,
ceil(bb.size()(1) / distance) + 1.,
tolerance);
// shift the polyline to the grid origin
for (Polyline &pl : polylines)
pl.translate(bb.min);
polylines = intersection_pl(polylines, to_polygons(expolygon));
if (! polylines.empty()) {
// Remove very small bits, but be careful to not remove infill lines connecting thin walls!
// The infill perimeter lines should be separated by around a single infill line width.
const coordf_t minlength = scale_d(0.8 * this->get_spacing());
polylines.erase(
std::remove_if(polylines.begin(), polylines.end(), [minlength](const Polyline &pl) { return pl.length() < minlength; }),
polylines.end());
}
if (! polylines.empty()) {
// connect lines
size_t polylines_out_first_idx = polylines_out.size();
if (params.connection == icNotConnected){
append(polylines_out, chain_polylines(polylines));
} else {
this->connect_infill(chain_polylines(polylines), expolygon, polylines_out, this->get_spacing(), params);
}
// new paths must be rotated back
if (std::abs(infill_angle) >= EPSILON) {
for (auto it = polylines_out.begin() + polylines_out_first_idx; it != polylines_out.end(); ++ it)
it->rotate(infill_angle);
}
}
}
} // namespace Slic3r
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