Refactored Fill / Flow for readability.

Added an "overlap" member variable to fill classes in the preparation
for futher move of the "infill / perimeter" overlap to the Fill class.
Moved the orientation predicates from Fill to Geometry.
This commit is contained in:
bubnikv 2017-07-19 15:53:43 +02:00
parent 9c1b1829cf
commit 2f2c0ddc99
7 changed files with 180 additions and 150 deletions

View File

@ -15,11 +15,11 @@ namespace Slic3r {
struct SurfaceGroupAttrib struct SurfaceGroupAttrib
{ {
SurfaceGroupAttrib() : is_solid(false), fw(0.f), pattern(-1) {} SurfaceGroupAttrib() : is_solid(false), flow_width(0.f), pattern(-1) {}
bool operator==(const SurfaceGroupAttrib &other) const bool operator==(const SurfaceGroupAttrib &other) const
{ return is_solid == other.is_solid && fw == other.fw && pattern == other.pattern; } { return is_solid == other.is_solid && flow_width == other.flow_width && pattern == other.pattern; }
bool is_solid; bool is_solid;
float fw; float flow_width;
// pattern is of type InfillPattern, -1 for an unset pattern. // pattern is of type InfillPattern, -1 for an unset pattern.
int pattern; int pattern;
}; };
@ -68,7 +68,7 @@ void make_fill(LayerRegion &layerm, ExtrusionEntityCollection &out)
const Surface &surface = *groups[i].front(); const Surface &surface = *groups[i].front();
if (surface.is_solid() && (!surface.is_bridge() || layerm.layer()->id() == 0)) { if (surface.is_solid() && (!surface.is_bridge() || layerm.layer()->id() == 0)) {
group_attrib[i].is_solid = true; group_attrib[i].is_solid = true;
group_attrib[i].fw = (surface.surface_type == stTop) ? top_solid_infill_flow.width : solid_infill_flow.width; group_attrib[i].flow_width = (surface.surface_type == stTop) ? top_solid_infill_flow.width : solid_infill_flow.width;
group_attrib[i].pattern = surface.is_external() ? layerm.region()->config.external_fill_pattern.value : ipRectilinear; group_attrib[i].pattern = surface.is_external() ? layerm.region()->config.external_fill_pattern.value : ipRectilinear;
} }
} }

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@ -45,7 +45,7 @@ Fill* Fill::new_from_type(const std::string &type)
Polylines Fill::fill_surface(const Surface *surface, const FillParams &params) Polylines Fill::fill_surface(const Surface *surface, const FillParams &params)
{ {
// Perform offset. // Perform offset.
Slic3r::ExPolygons expp = offset_ex(surface->expolygon, float(-0.5*scale_(this->spacing))); Slic3r::ExPolygons expp = offset_ex(surface->expolygon, float(scale_(this->overlap - 0.5 * this->spacing)));
// Create the infills for each of the regions. // Create the infills for each of the regions.
Polylines polylines_out; Polylines polylines_out;
for (size_t i = 0; i < expp.size(); ++ i) for (size_t i = 0; i < expp.size(); ++ i)

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@ -22,6 +22,8 @@ struct FillParams
dont_adjust = true; dont_adjust = true;
} }
bool full_infill() const { return density > 0.9999f; }
// Fill density, fraction in <0, 1> // Fill density, fraction in <0, 1>
float density; float density;
@ -46,6 +48,8 @@ public:
coordf_t z; coordf_t z;
// in unscaled coordinates // in unscaled coordinates
coordf_t spacing; coordf_t spacing;
// infill / perimeter overlap, in unscaled coordinates
coordf_t overlap;
// in radians, ccw, 0 = East // in radians, ccw, 0 = East
float angle; float angle;
// In scaled coordinates. Maximum lenght of a perimeter segment connecting two infill lines. // In scaled coordinates. Maximum lenght of a perimeter segment connecting two infill lines.
@ -77,8 +81,10 @@ public:
protected: protected:
Fill() : Fill() :
layer_id(size_t(-1)), layer_id(size_t(-1)),
z(0.f), z(0.),
spacing(0.f), spacing(0.),
// Infill / perimeter overlap.
overlap(0.),
// Initial angle is undefined. // Initial angle is undefined.
angle(FLT_MAX), angle(FLT_MAX),
link_max_length(0), link_max_length(0),

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@ -9,6 +9,7 @@
#include "../ClipperUtils.hpp" #include "../ClipperUtils.hpp"
#include "../ExPolygon.hpp" #include "../ExPolygon.hpp"
#include "../Geometry.hpp"
#include "../Surface.hpp" #include "../Surface.hpp"
#include "FillRectilinear2.hpp" #include "FillRectilinear2.hpp"
@ -62,55 +63,6 @@ static inline coordf_t mag(const Point &p)
} }
#endif /* mag */ #endif /* mag */
enum Orientation
{
ORIENTATION_CCW = 1,
ORIENTATION_CW = -1,
ORIENTATION_COLINEAR = 0
};
// Return orientation of the three points (clockwise, counter-clockwise, colinear)
// The predicate is exact for the coord_t type, using 64bit signed integers for the temporaries.
//FIXME Make sure the temporaries do not overflow,
// which means, the coord_t types must not have some of the topmost bits utilized.
static inline Orientation orient(const Point &a, const Point &b, const Point &c)
{
// BOOST_STATIC_ASSERT(sizeof(coord_t) * 2 == sizeof(int64_t));
int64_t u = int64_t(b.x) * int64_t(c.y) - int64_t(b.y) * int64_t(c.x);
int64_t v = int64_t(a.x) * int64_t(c.y) - int64_t(a.y) * int64_t(c.x);
int64_t w = int64_t(a.x) * int64_t(b.y) - int64_t(a.y) * int64_t(b.x);
int64_t d = u - v + w;
return (d > 0) ? ORIENTATION_CCW : ((d == 0) ? ORIENTATION_COLINEAR : ORIENTATION_CW);
}
// Return orientation of the polygon.
// The input polygon must not contain duplicate points.
static inline bool is_ccw(const Polygon &poly)
{
// The polygon shall be at least a triangle.
myassert(poly.points.size() >= 3);
if (poly.points.size() < 3)
return true;
// 1) Find the lowest lexicographical point.
int imin = 0;
for (size_t i = 1; i < poly.points.size(); ++ i) {
const Point &pmin = poly.points[imin];
const Point &p = poly.points[i];
if (p.x < pmin.x || (p.x == pmin.x && p.y < pmin.y))
imin = i;
}
// 2) Detect the orientation of the corner imin.
size_t iPrev = ((imin == 0) ? poly.points.size() : imin) - 1;
size_t iNext = ((imin + 1 == poly.points.size()) ? 0 : imin + 1);
Orientation o = orient(poly.points[iPrev], poly.points[imin], poly.points[iNext]);
// The lowest bottom point must not be collinear if the polygon does not contain duplicate points
// or overlapping segments.
myassert(o != ORIENTATION_COLINEAR);
return o == ORIENTATION_CCW;
}
// Having a segment of a closed polygon, calculate its Euclidian length. // Having a segment of a closed polygon, calculate its Euclidian length.
// The segment indices seg1 and seg2 signify an end point of an edge in the forward direction of the loop, // The segment indices seg1 and seg2 signify an end point of an edge in the forward direction of the loop,
// therefore the point p1 lies on poly.points[seg1-1], poly.points[seg1] etc. // therefore the point p1 lies on poly.points[seg1-1], poly.points[seg1] etc.
@ -390,7 +342,7 @@ public:
for (size_t i = 0; i < n_contours; ++ i) { for (size_t i = 0; i < n_contours; ++ i) {
contour(i).remove_duplicate_points(); contour(i).remove_duplicate_points();
myassert(! contour(i).has_duplicate_points()); myassert(! contour(i).has_duplicate_points());
polygons_ccw[i] = is_ccw(contour(i)); polygons_ccw[i] = Slic3r::Geometry::is_ccw(contour(i));
} }
} }
@ -861,8 +813,8 @@ bool FillRectilinear2::fill_surface_by_lines(const Surface *surface, const FillP
ExPolygonWithOffset poly_with_offset( ExPolygonWithOffset poly_with_offset(
surface->expolygon, surface->expolygon,
- rotate_vector.first, - rotate_vector.first,
scale_(- (0.5 - INFILL_OVERLAP_OVER_SPACING) * this->spacing), scale_(this->overlap - (0.5 - INFILL_OVERLAP_OVER_SPACING) * this->spacing),
scale_(- 0.5 * this->spacing)); scale_(this->overlap - 0.5 * this->spacing));
if (poly_with_offset.n_contours_inner == 0) { if (poly_with_offset.n_contours_inner == 0) {
// Not a single infill line fits. // Not a single infill line fits.
//FIXME maybe one shall trigger the gap fill here? //FIXME maybe one shall trigger the gap fill here?
@ -872,8 +824,7 @@ bool FillRectilinear2::fill_surface_by_lines(const Surface *surface, const FillP
BoundingBox bounding_box = poly_with_offset.bounding_box_src(); BoundingBox bounding_box = poly_with_offset.bounding_box_src();
// define flow spacing according to requested density // define flow spacing according to requested density
bool full_infill = params.density > 0.9999f; if (params.full_infill() && !params.dont_adjust) {
if (full_infill && !params.dont_adjust) {
line_spacing = this->_adjust_solid_spacing(bounding_box.size().x, line_spacing); line_spacing = this->_adjust_solid_spacing(bounding_box.size().x, line_spacing);
this->spacing = unscale(line_spacing); this->spacing = unscale(line_spacing);
} else { } else {
@ -893,7 +844,7 @@ bool FillRectilinear2::fill_surface_by_lines(const Surface *surface, const FillP
// n_vlines = ceil(bbox_width / line_spacing) // n_vlines = ceil(bbox_width / line_spacing)
size_t n_vlines = (bounding_box.max.x - bounding_box.min.x + line_spacing - 1) / line_spacing; size_t n_vlines = (bounding_box.max.x - bounding_box.min.x + line_spacing - 1) / line_spacing;
coord_t x0 = bounding_box.min.x; coord_t x0 = bounding_box.min.x;
if (full_infill) if (params.full_infill())
x0 += (line_spacing + SCALED_EPSILON) / 2; x0 += (line_spacing + SCALED_EPSILON) / 2;
#ifdef SLIC3R_DEBUG #ifdef SLIC3R_DEBUG
@ -1108,7 +1059,7 @@ bool FillRectilinear2::fill_surface_by_lines(const Surface *surface, const FillP
if (seg.intersections[i_intersection].type == SegmentIntersection::OUTER_LOW && if (seg.intersections[i_intersection].type == SegmentIntersection::OUTER_LOW &&
seg.intersections[i_intersection+1].type == SegmentIntersection::OUTER_HIGH) { seg.intersections[i_intersection+1].type == SegmentIntersection::OUTER_HIGH) {
bool consumed = false; bool consumed = false;
// if (full_infill) { // if (params.full_infill()) {
// measure_outer_contour_slab(poly_with_offset, segs, i_vline, i_ntersection); // measure_outer_contour_slab(poly_with_offset, segs, i_vline, i_ntersection);
// } else // } else
consumed = true; consumed = true;

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@ -5,60 +5,126 @@
namespace Slic3r { namespace Slic3r {
/* This constructor builds a Flow object from an extrusion width config setting // This static method returns a sane extrusion width default.
and other context properties. */ static inline float auto_extrusion_width(FlowRole role, float nozzle_diameter, float height)
Flow {
Flow::new_from_config_width(FlowRole role, const ConfigOptionFloatOrPercent &width, float nozzle_diameter, float height, float bridge_flow_ratio) { #if 1
// Here we calculate a sane default by matching the flow speed (at the nozzle) and the feed rate.
// shape: rectangle with semicircles at the ends
// This "sane" extrusion width gives the following results for a 0.4mm dmr nozzle:
// Layer Calculated Calculated width
// heigh extrusion over nozzle
// width diameter
// 0.40 0.40 1.00
// 0.35 0.43 1.09
// 0.30 0.48 1.21
// 0.25 0.56 1.39
// 0.20 0.67 1.68
// 0.15 0.87 2.17
// 0.10 1.28 3.20
// 0.05 2.52 6.31
//
float width = 0.25 * (nozzle_diameter * nozzle_diameter) * PI / height + height * (1.0 - 0.25 * PI);
switch (role) {
case frExternalPerimeter:
case frSupportMaterial:
case frSupportMaterialInterface:
return nozzle_diameter;
case frPerimeter:
case frSolidInfill:
case frTopSolidInfill:
// do not limit width for sparse infill so that we use full native flow for it
return std::min(std::max(width, nozzle_diameter * 1.05f), nozzle_diameter * 1.7f);
case frInfill:
default:
return std::max(width, nozzle_diameter * 1.05f);
}
#else
// 1.125f * nozzle_diameter;
switch (role) {
case frSupportMaterial:
case frSupportMaterialInterface:
case frTopSolidInfill:
return nozzle_diameter;
default:
case frExternalPerimeter:
1.125f * nozzle_diameter;
case frPerimeter:
case frSolidInfill:
// do not limit width for sparse infill so that we use full native flow for it
return std::min(std::max(width, nozzle_diameter * 1.05), nozzle_diameter * 1.7);
case frInfill:
return std::max(width, nozzle_diameter * 1.05);
}
#endif
}
// This constructor builds a Flow object from an extrusion width config setting
// and other context properties.
Flow Flow::new_from_config_width(FlowRole role, const ConfigOptionFloatOrPercent &width, float nozzle_diameter, float height, float bridge_flow_ratio)
{
// we need layer height unless it's a bridge // we need layer height unless it's a bridge
if (height <= 0 && bridge_flow_ratio == 0) CONFESS("Invalid flow height supplied to new_from_config_width()"); if (height <= 0 && bridge_flow_ratio == 0)
CONFESS("Invalid flow height supplied to new_from_config_width()");
float w; float w;
if (bridge_flow_ratio > 0) { if (bridge_flow_ratio > 0) {
// if bridge flow was requested, calculate bridge width // If bridge flow was requested, calculate the bridge width.
height = w = Flow::_bridge_width(nozzle_diameter, bridge_flow_ratio); height = w = (bridge_flow_ratio == 1.) ?
} else if (!width.percent && width.value == 0) { // optimization to avoid sqrt()
// if user left option to 0, calculate a sane default width nozzle_diameter :
w = Flow::_auto_width(role, nozzle_diameter, height); sqrt(bridge_flow_ratio) * nozzle_diameter;
} else if (! width.percent && width.value == 0.) {
// If user left option to 0, calculate a sane default width.
w = auto_extrusion_width(role, nozzle_diameter, height);
} else { } else {
// if user set a manual value, use it // If user set a manual value, use it.
w = width.get_abs_value(height); w = width.get_abs_value(height);
} }
return Flow(w, height, nozzle_diameter, bridge_flow_ratio > 0); return Flow(w, height, nozzle_diameter, bridge_flow_ratio > 0);
} }
/* This constructor builds a Flow object from a given centerline spacing. */ // This constructor builds a Flow object from a given centerline spacing.
Flow Flow Flow::new_from_spacing(float spacing, float nozzle_diameter, float height, bool bridge)
Flow::new_from_spacing(float spacing, float nozzle_diameter, float height, bool bridge) { {
// we need layer height unless it's a bridge // we need layer height unless it's a bridge
if (height <= 0 && !bridge) CONFESS("Invalid flow height supplied to new_from_spacing()"); if (height <= 0 && !bridge)
CONFESS("Invalid flow height supplied to new_from_spacing()");
float w = Flow::_width_from_spacing(spacing, nozzle_diameter, height, bridge); // Calculate width from spacing.
if (bridge) height = w; // For normal extrusons, extrusion width is wider than the spacing due to the rounding and squishing of the extrusions.
return Flow(w, height, nozzle_diameter, bridge); // For bridge extrusions, the extrusions are placed with a tiny BRIDGE_EXTRA_SPACING gaps between the threads.
float width = bridge ?
(spacing - BRIDGE_EXTRA_SPACING) :
#ifdef HAS_PERIMETER_LINE_OVERLAP
(spacing + PERIMETER_LINE_OVERLAP_FACTOR * height * (1. - 0.25 * PI));
#else
(spacing + height * (1. - 0.25 * PI));
#endif
return Flow(width, bridge ? width : height, nozzle_diameter, bridge);
} }
/* This method returns the centerline spacing between two adjacent extrusions // This method returns the centerline spacing between two adjacent extrusions
having the same extrusion width (and other properties). */ // having the same extrusion width (and other properties).
float float Flow::spacing() const
Flow::spacing() const
{ {
#ifdef HAS_PERIMETER_LINE_OVERLAP #ifdef HAS_PERIMETER_LINE_OVERLAP
if (this->bridge) if (this->bridge)
return this->width + BRIDGE_EXTRA_SPACING; return this->width + BRIDGE_EXTRA_SPACING;
// rectangle with semicircles at the ends // rectangle with semicircles at the ends
float min_flow_spacing = this->width - this->height * (1 - PI/4.0); float min_flow_spacing = this->width - this->height * (1. - 0.25 * PI);
return this->width - PERIMETER_LINE_OVERLAP_FACTOR * (this->width - min_flow_spacing); return this->width - PERIMETER_LINE_OVERLAP_FACTOR * (this->width - min_flow_spacing);
#else #else
return this->bridge ? (this->width + BRIDGE_EXTRA_SPACING) : (this->width - this->height * (1 - PI/4.0)); return this->bridge ? (this->width + BRIDGE_EXTRA_SPACING) : (this->width - this->height * (1. - 0.25 * PI));
#endif #endif
} }
/* This method returns the centerline spacing between an extrusion using this // This method returns the centerline spacing between an extrusion using this
flow and another one using another flow. // flow and another one using another flow.
this->spacing(other) shall return the same value as other.spacing(*this) */ // this->spacing(other) shall return the same value as other.spacing(*this)
float float Flow::spacing(const Flow &other) const
Flow::spacing(const Flow &other) const { {
assert(this->height == other.height); assert(this->height == other.height);
assert(this->bridge == other.bridge); assert(this->bridge == other.bridge);
return this->bridge ? return this->bridge ?
@ -66,52 +132,12 @@ Flow::spacing(const Flow &other) const {
0.5f * this->spacing() + 0.5f * other.spacing(); 0.5f * this->spacing() + 0.5f * other.spacing();
} }
/* This method returns extrusion volume per head move unit. */ // This method returns extrusion volume per head move unit.
double Flow::mm3_per_mm() const double Flow::mm3_per_mm() const
{ {
return this->bridge ? return this->bridge ?
(this->width * this->width) * PI/4.0 : (this->width * this->width) * 0.25 * PI :
this->width * this->height + (this->height * this->height) / 4.0 * (PI-4.0); this->width * this->height + 0.25 * (this->height * this->height) / (PI - 4.0);
}
/* This static method returns bridge width for a given nozzle diameter. */
float Flow::_bridge_width(float nozzle_diameter, float bridge_flow_ratio) {
return (bridge_flow_ratio == 1.) ?
// optimization to avoid sqrt()
nozzle_diameter :
sqrt(bridge_flow_ratio) * nozzle_diameter;
}
/* This static method returns a sane extrusion width default. */
float Flow::_auto_width(FlowRole role, float nozzle_diameter, float height) {
// here we calculate a sane default by matching the flow speed (at the nozzle) and the feed rate
// shape: rectangle with semicircles at the ends
float width = ((nozzle_diameter*nozzle_diameter) * PI + (height*height) * (4.0 - PI)) / (4.0 * height);
float min = nozzle_diameter * 1.05;
float max = -1;
if (role == frExternalPerimeter || role == frSupportMaterial || role == frSupportMaterialInterface) {
min = max = nozzle_diameter;
} else if (role != frInfill) {
// do not limit width for sparse infill so that we use full native flow for it
max = nozzle_diameter * 1.7;
}
if (max != -1 && width > max) width = max;
if (width < min) width = min;
return width;
}
/* This static method returns the extrusion width value corresponding to the supplied centerline spacing. */
float Flow::_width_from_spacing(float spacing, float nozzle_diameter, float height, bool bridge)
{
return bridge ?
(spacing - BRIDGE_EXTRA_SPACING) :
#ifdef HAS_PERIMETER_LINE_OVERLAP
(spacing + PERIMETER_LINE_OVERLAP_FACTOR * height * (1 - PI/4.0));
#else
(spacing + height * (1 - PI/4.0));
#endif
} }
Flow support_material_flow(const PrintObject *object, float layer_height) Flow support_material_flow(const PrintObject *object, float layer_height)

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@ -13,7 +13,6 @@ class PrintObject;
#define BRIDGE_EXTRA_SPACING 0.05 #define BRIDGE_EXTRA_SPACING 0.05
// Overlap factor of perimeter lines. Currently no overlap. // Overlap factor of perimeter lines. Currently no overlap.
// #define HAS_OVERLAP
#ifdef HAS_PERIMETER_LINE_OVERLAP #ifdef HAS_PERIMETER_LINE_OVERLAP
#define PERIMETER_LINE_OVERLAP_FACTOR 1.0 #define PERIMETER_LINE_OVERLAP_FACTOR 1.0
#endif #endif
@ -37,28 +36,23 @@ public:
// Non bridging flow: Layer height. // Non bridging flow: Layer height.
// Bridging flow: Bridge thread diameter = layer height. // Bridging flow: Bridge thread diameter = layer height.
float height; float height;
// Nozzle diameter is // Nozzle diameter.
float nozzle_diameter; float nozzle_diameter;
// Is it a bridge? // Is it a bridge?
bool bridge; bool bridge;
Flow(float _w, float _h, float _nd, bool _bridge = false) Flow(float _w, float _h, float _nd, bool _bridge = false) :
: width(_w), height(_h), nozzle_diameter(_nd), bridge(_bridge) {}; width(_w), height(_h), nozzle_diameter(_nd), bridge(_bridge) {};
float spacing() const;
float spacing(const Flow &other) const; float spacing() const;
double mm3_per_mm() const; float spacing(const Flow &other) const;
double mm3_per_mm() const;
coord_t scaled_width() const { return coord_t(scale_(this->width)); }; coord_t scaled_width() const { return coord_t(scale_(this->width)); };
coord_t scaled_spacing() const { return coord_t(scale_(this->spacing())); }; coord_t scaled_spacing() const { return coord_t(scale_(this->spacing())); };
coord_t scaled_spacing(const Flow &other) const { return coord_t(scale_(this->spacing(other))); }; coord_t scaled_spacing(const Flow &other) const { return coord_t(scale_(this->spacing(other))); };
static Flow new_from_config_width(FlowRole role, const ConfigOptionFloatOrPercent &width, float nozzle_diameter, float height, float bridge_flow_ratio); static Flow new_from_config_width(FlowRole role, const ConfigOptionFloatOrPercent &width, float nozzle_diameter, float height, float bridge_flow_ratio);
static Flow new_from_spacing(float spacing, float nozzle_diameter, float height, bool bridge); static Flow new_from_spacing(float spacing, float nozzle_diameter, float height, bool bridge);
private:
static float _bridge_width(float nozzle_diameter, float bridge_flow_ratio);
static float _auto_width(FlowRole role, float nozzle_diameter, float height);
static float _width_from_spacing(float spacing, float nozzle_diameter, float height, bool bridge);
static float _spacing(float width, float nozzle_diameter, float height, float bridge_flow_ratio);
}; };
extern Flow support_material_flow(const PrintObject *object, float layer_height = 0.f); extern Flow support_material_flow(const PrintObject *object, float layer_height = 0.f);

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@ -13,6 +13,59 @@ using boost::polygon::voronoi_diagram;
namespace Slic3r { namespace Geometry { namespace Slic3r { namespace Geometry {
// Generic result of an orientation predicate.
enum Orientation
{
ORIENTATION_CCW = 1,
ORIENTATION_CW = -1,
ORIENTATION_COLINEAR = 0
};
// Return orientation of the three points (clockwise, counter-clockwise, colinear)
// The predicate is exact for the coord_t type, using 64bit signed integers for the temporaries.
// which means, the coord_t types must not have some of the topmost bits utilized.
// As the points are limited to 30 bits + signum,
// the temporaries u, v, w are limited to 61 bits + signum,
// and d is limited to 63 bits + signum and we are good.
static inline Orientation orient(const Point &a, const Point &b, const Point &c)
{
// BOOST_STATIC_ASSERT(sizeof(coord_t) * 2 == sizeof(int64_t));
int64_t u = int64_t(b.x) * int64_t(c.y) - int64_t(b.y) * int64_t(c.x);
int64_t v = int64_t(a.x) * int64_t(c.y) - int64_t(a.y) * int64_t(c.x);
int64_t w = int64_t(a.x) * int64_t(b.y) - int64_t(a.y) * int64_t(b.x);
int64_t d = u - v + w;
return (d > 0) ? ORIENTATION_CCW : ((d == 0) ? ORIENTATION_COLINEAR : ORIENTATION_CW);
}
// Return orientation of the polygon by checking orientation of the left bottom corner of the polygon
// using exact arithmetics. The input polygon must not contain duplicate points
// (or at least the left bottom corner point must not have duplicates).
static inline bool is_ccw(const Polygon &poly)
{
// The polygon shall be at least a triangle.
assert(poly.points.size() >= 3);
if (poly.points.size() < 3)
return true;
// 1) Find the lowest lexicographical point.
int imin = 0;
for (size_t i = 1; i < poly.points.size(); ++ i) {
const Point &pmin = poly.points[imin];
const Point &p = poly.points[i];
if (p.x < pmin.x || (p.x == pmin.x && p.y < pmin.y))
imin = i;
}
// 2) Detect the orientation of the corner imin.
size_t iPrev = ((imin == 0) ? poly.points.size() : imin) - 1;
size_t iNext = ((imin + 1 == poly.points.size()) ? 0 : imin + 1);
Orientation o = orient(poly.points[iPrev], poly.points[imin], poly.points[iNext]);
// The lowest bottom point must not be collinear if the polygon does not contain duplicate points
// or overlapping segments.
assert(o != ORIENTATION_COLINEAR);
return o == ORIENTATION_CCW;
}
inline bool ray_ray_intersection(const Pointf &p1, const Vectorf &v1, const Pointf &p2, const Vectorf &v2, Pointf &res) inline bool ray_ray_intersection(const Pointf &p1, const Vectorf &v1, const Pointf &p2, const Vectorf &v2, Pointf &res)
{ {
double denom = v1.x * v2.y - v2.x * v1.y; double denom = v1.x * v2.y - v2.x * v1.y;