Handle truncated gyroid patterns correctly
When generating patterns which are less than a full wave, always generate the last point correctly. When extending a full wave to a line, fixup the last point to the real gyroid position instead of shifting the point.
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1 changed files with 18 additions and 12 deletions
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@ -31,17 +31,22 @@ static inline double f(double x, double z_sin, double z_cos, bool vertical, bool
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static inline Polyline make_wave(
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const std::vector<Vec2d>& one_period, double width, double height, double offset, double scaleFactor,
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double z_cos, double z_sin, bool vertical)
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double z_cos, double z_sin, bool vertical, bool flip)
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{
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std::vector<Vec2d> points = one_period;
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double period = points.back()(0);
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points.reserve(one_period.size() * floor(width / period));
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points.pop_back();
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int n = points.size();
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do {
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points.emplace_back(Vec2d(points[points.size()-n](0) + period, points[points.size()-n](1)));
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} while (points.back()(0) < width);
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points.back()(0) = width;
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if (width != period) // do not extend if already truncated
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{
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points.reserve(one_period.size() * floor(width / period));
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points.pop_back();
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int n = points.size();
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do {
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points.emplace_back(Vec2d(points[points.size()-n](0) + period, points[points.size()-n](1)));
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} while (points.back()(0) < width - EPSILON);
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points.emplace_back(Vec2d(width, f(width, z_sin, z_cos, vertical, flip)));
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}
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// and construct the final polyline to return:
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Polyline polyline;
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@ -63,10 +68,11 @@ static std::vector<Vec2d> make_one_period(double width, double scaleFactor, doub
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double dx = M_PI_2; // exact coordinates on main inflexion lobes
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double limit = std::min(2*M_PI, width);
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points.reserve(ceil(limit / tolerance / 3));
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for (double x = 0.; x < limit + EPSILON; x += dx) { // so the last point is there too
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x = std::min(x, limit);
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for (double x = 0.; x < limit - EPSILON; x += dx) {
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points.emplace_back(Vec2d(x, f(x, z_sin, z_cos, vertical, flip)));
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}
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points.emplace_back(Vec2d(limit, f(limit, z_sin, z_cos, vertical, flip)));
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// piecewise increase in resolution up to requested tolerance
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for(;;)
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@ -128,11 +134,11 @@ static Polylines make_gyroid_waves(double gridZ, double density_adjusted, double
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for (double y0 = lower_bound; y0 < upper_bound + EPSILON; y0 += M_PI) {
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// creates odd polylines
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result.emplace_back(make_wave(one_period_odd, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
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result.emplace_back(make_wave(one_period_odd, width, height, y0, scaleFactor, z_cos, z_sin, vertical, flip));
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// creates even polylines
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y0 += M_PI;
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if (y0 < upper_bound + EPSILON) {
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result.emplace_back(make_wave(one_period_even, width, height, y0, scaleFactor, z_cos, z_sin, vertical));
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result.emplace_back(make_wave(one_period_even, width, height, y0, scaleFactor, z_cos, z_sin, vertical, flip));
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}
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}
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