Board 0.9.6
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A Bezier curve described by two series of 2D points (curve points and control points). More...
#include <Bezier.h>
Public Member Functions | |
Bezier (const std::vector< Point > &points, const std::vector< Point > &controls, Color penColor=Style::defaultPenColor(), Color fillColor=Style::defaultFillColor(), double lineWidth=Style::defaultLineWidth(), const LineStyle lineStyle=Style::defaultLineStyle(), const LineCap cap=Style::defaultLineCap(), const LineJoin join=Style::defaultLineJoin()) | |
A Bezier curve described by two series of 2D points (curve points and control points). | |
Bezier (const std::vector< Point > &points, const std::vector< Point > &controls, const Style &style) | |
A cubic bezier curve. | |
Bezier (Point p0, Point control0, Point p1, Point control1, Color penColor=Style::defaultPenColor(), Color fillColor=Style::defaultFillColor(), double lineWidth=Style::defaultLineWidth(), const LineStyle lineStyle=Style::defaultLineStyle(), const LineCap cap=Style::defaultLineCap(), const LineJoin join=Style::defaultLineJoin()) | |
A bezier curve defined by its two extremities and two control points. | |
Bezier (Point p0, Point control0, Point p1, Point control1, const Style &style) | |
A bezier curve defined by its two extremities and two control points. | |
Bezier (double x0, double y0, double xc0, double yc0, double x1, double y1, double xc1, double yc1, Color penColor=Style::defaultPenColor(), Color fillColor=Style::defaultFillColor(), double lineWidth=Style::defaultLineWidth(), const LineStyle lineStyle=Style::defaultLineStyle(), const LineCap cap=Style::defaultLineCap(), const LineJoin join=Style::defaultLineJoin()) | |
A bezier curve defined by its two extremities and two control points. | |
Bezier (double x0, double y0, double xc0, double yc0, double x1, double y1, double xc1, double yc1, const Style &style) | |
A bezier curve defined by its two extremities and two control points. | |
const std::string & | name () const override |
Bezier & | rotate (double angle, const Point ¢er) override |
Rotate the Bezier curve. | |
Bezier | rotated (double angle, const Point ¢er) const |
Rotated copy of the curve. | |
Bezier & | rotate (double angle) override |
Rotate the Bezier curve around its bounding box center. | |
Bezier | rotated (double angle) const |
Return a rotated copy of the curve around its bounding box center. | |
Bezier & | translate (double dx, double dy) override |
Bezier | translated (double dx, double dy) const |
Bezier & | scale (double sx, double sy) override |
Bezier & | scale (double s) override |
Bezier | scaled (double sx, double sy) const |
Bezier | scaled (double s) const |
void | scaleAll (double s) override |
Bezier | resized (double w, double h, LineWidthFlag lineWidthFlag) const |
void | flushPostscript (std::ostream &stream, const TransformEPS &transform) const override |
void | flushFIG (std::ostream &stream, const TransformFIG &transform, std::map< Color, int > &colormap) const override |
void | flushSVG (std::ostream &stream, const TransformSVG &transform) const override |
void | flushTikZ (std::ostream &stream, const TransformTikZ &transform) const override |
virtual void | accept (ShapeVisitor &visitor) override |
Accepts a visitor object. | |
virtual void | accept (const ShapeVisitor &visitor) override |
Accepts a visitor object. | |
virtual void | accept (ConstShapeVisitor &visitor) const override |
Accepts a const-shape visitor object. | |
virtual void | accept (const ConstShapeVisitor &visitor) const override |
Accepts a const-shape visitor object. | |
virtual Shape * | accept (CompositeShapeTransform &transform) const override |
Accept a composite shape transform. | |
virtual Shape * | accept (const CompositeShapeTransform &transform) const override |
Accept a constant composite shape transform. | |
Rect | boundingBox (LineWidthFlag) const override |
Return the bounding box of the curve. | |
Bezier * | clone () const override |
Return a copy of the curve. | |
const Path & | path () const |
The series of points defining the curve, as a path. | |
const Path & | controls () const |
The series of control points points defining the curve, as a path. | |
Path | discretizedPath () const |
A sequence of properly spaced points approximating the curve. | |
std::vector< Point > | pathThroughLocalExtremums () const |
A path through local extremums. | |
Bezier & | operator+= (const Bezier &other) |
Add points and crontrol points of another curve. | |
Bezier | operator+ (const Bezier &other) const |
Concatenate two Bezier curves. | |
Point | eval (Path::size_type interval, double t) const |
Get a point of the curve given its interval between two curve points and a position in [0..1]. | |
Bezier (const Bezier &)=default | |
Bezier (Bezier &&)=default | |
Bezier & | operator= (Bezier &&)=default |
Bezier & | operator= (const Bezier &)=default |
~Bezier () override=default | |
Public Member Functions inherited from LibBoard::ShapeWithStyle | |
ShapeWithStyle (Color penColor, Color fillColor, double lineWidth, LineStyle style, const LineCap cap, const LineJoin join) | |
ShapeWithStyle (const Style &style) | |
ShapeWithStyle (const ShapeWithStyle &other) | |
ShapeWithStyle & | operator= (const ShapeWithStyle &other) |
~ShapeWithStyle () | |
const std::string & | name () const |
Shape * | clone () const =0 |
const Color & | penColor () const |
ShapeWithStyle & | setPenColor (const Color &) |
const Color & | fillColor () const |
ShapeWithStyle & | setFillColor (const Color &) |
double | lineWidth () const |
ShapeWithStyle & | setLineWidth (double) |
LineStyle | lineStyle () const |
ShapeWithStyle & | setLineStyle (LineStyle) |
LineCap | lineCap () const |
ShapeWithStyle & | setLineCap (LineCap) |
LineJoin | lineJoin () const |
ShapeWithStyle & | setLineJoin (LineJoin) |
Style | style () const |
ShapeWithStyle & | setStyle (const Style &) |
bool | filled () const |
Public Member Functions inherited from LibBoard::Shape | |
Shape () | |
virtual | ~Shape () |
virtual const std::string & | name () const |
virtual Shape * | clone () const =0 |
virtual Point | center (LineWidthFlag lineWidthFlag=IgnoreLineWidth) const |
virtual Shape & | rotate (double angle, const Point ¢er)=0 |
virtual Shape & | rotate (double angle)=0 |
Shape & | rotateDeg (double angle, const Point ¢er) |
Shape & | rotateDeg (double angle) |
virtual Shape & | translate (double dx, double dy)=0 |
Shape & | moveCenter (double x, double y, LineWidthFlag lineWidthFlag=IgnoreLineWidth) |
Shape & | moveCenter (Point p, LineWidthFlag lineWidthFlag=IgnoreLineWidth) |
virtual Shape & | scale (double sx, double sy)=0 |
virtual Shape & | scale (double s)=0 |
Shape & | resize (double width, double height, LineWidthFlag lineWidthFlag) |
Shape & | scaleToWidth (double w, LineWidthFlag lineWidthFlag) |
Shape & | scaleToHeight (double h, LineWidthFlag lineWidthFlag) |
virtual Rect | boundingBox (LineWidthFlag) const =0 |
Rect | bbox (LineWidthFlag) const |
virtual void | scaleAll (double s)=0 |
virtual void | flushPostscript (std::ostream &stream, const TransformEPS &transform) const =0 |
virtual void | flushFIG (std::ostream &stream, const TransformFIG &transform, std::map< Color, int > &colormap) const =0 |
virtual void | flushSVG (std::ostream &stream, const TransformSVG &transform) const =0 |
virtual void | flushTikZ (std::ostream &stream, const TransformTikZ &transform) const =0 |
virtual void | accept (ShapeVisitor &visitor) |
Accepts a visitor object. | |
virtual void | accept (const ShapeVisitor &visitor) |
Accepts a visitor object. | |
virtual void | accept (ConstShapeVisitor &visitor) const |
Accepts a const-shape visitor object. | |
virtual void | accept (const ConstShapeVisitor &visitor) const |
Accepts a const-shape visitor object. | |
virtual Shape * | accept (CompositeShapeTransform &transform) const |
Accept a composite shape transform. | |
virtual Shape * | accept (const CompositeShapeTransform &transform) const |
Accept a constant composite shape transform. | |
Shape (const Shape &other) | |
Static Public Member Functions | |
static Bezier | smoothedPolyline (const std::vector< Point > &path, double roundness, const Style &style=Style::defaultStyle()) |
Build a Bezier curve as a 'rounded' version of a Polyline. | |
static Bezier | smoothedPolyline (const Path &path, double roundness, const Style &style=Style::defaultStyle()) |
Build a Bezier curve as a 'rounded' version of a Polyline. | |
static Bezier | interpolation (const Point &a, const Point &b, const Point &c, const Point &d, const Style &style=Style::defaultStyle()) |
Bezier interpolation passing through 4 points. | |
Static Public Member Functions inherited from LibBoard::ShapeWithStyle | |
static void | setLineWidthScaling (bool) |
Protected Attributes | |
Path | _path |
Path | _controls |
Protected Attributes inherited from LibBoard::ShapeWithStyle | |
Style | _style |
Additional Inherited Members | |
Protected Member Functions inherited from LibBoard::ShapeWithStyle | |
void | updateLineWidth (double s) |
A Bezier curve described by two series of 2D points (curve points and control points).
The Bezier structure.
LibBoard::Bezier::Bezier | ( | const std::vector< Point > & | points, |
const std::vector< Point > & | controls, | ||
Color | penColor = Style::defaultPenColor() , |
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Color | fillColor = Style::defaultFillColor() , |
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double | lineWidth = Style::defaultLineWidth() , |
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const LineStyle | lineStyle = Style::defaultLineStyle() , |
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const LineCap | cap = Style::defaultLineCap() , |
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const LineJoin | join = Style::defaultLineJoin() |
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) |
A Bezier curve described by two series of 2D points (curve points and control points).
points | Points of the bezier curve (n points) |
controls | Controls points (2(n-1) points) |
penColor | |
fillColor | |
lineWidth | |
lineStyle | |
cap | |
join |
LibBoard::Bezier::Bezier | ( | const std::vector< Point > & | points, |
const std::vector< Point > & | controls, | ||
const Style & | style | ||
) |
A cubic bezier curve.
points | Points of the bezier curve (n points) |
controls | Controls points (2(n-1) points) |
style | Shape style. |
LibBoard::Bezier::Bezier | ( | Point | p0, |
Point | control0, | ||
Point | p1, | ||
Point | control1, | ||
Color | penColor = Style::defaultPenColor() , |
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Color | fillColor = Style::defaultFillColor() , |
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double | lineWidth = Style::defaultLineWidth() , |
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const LineStyle | lineStyle = Style::defaultLineStyle() , |
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const LineCap | cap = Style::defaultLineCap() , |
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const LineJoin | join = Style::defaultLineJoin() |
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) |
LibBoard::Bezier::Bezier | ( | double | x0, |
double | y0, | ||
double | xc0, | ||
double | yc0, | ||
double | x1, | ||
double | y1, | ||
double | xc1, | ||
double | yc1, | ||
Color | penColor = Style::defaultPenColor() , |
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Color | fillColor = Style::defaultFillColor() , |
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double | lineWidth = Style::defaultLineWidth() , |
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const LineStyle | lineStyle = Style::defaultLineStyle() , |
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const LineCap | cap = Style::defaultLineCap() , |
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const LineJoin | join = Style::defaultLineJoin() |
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) |
A bezier curve defined by its two extremities and two control points.
x0 | Start point (x coordinate) |
y0 | Start point (y coordinate) |
xc0 | Start control point (x coordinate) |
yc0 | Start control point (y coordinate) |
x1 | End point (x coordinate) |
y1 | End point (y coordinate) |
xc1 | End control point (x coordinate) |
yc1 | End control point (y coordinate) |
penColor | |
fillColor | |
lineWidth | |
lineStyle | |
cap | |
join |
LibBoard::Bezier::Bezier | ( | double | x0, |
double | y0, | ||
double | xc0, | ||
double | yc0, | ||
double | x1, | ||
double | y1, | ||
double | xc1, | ||
double | yc1, | ||
const Style & | style | ||
) |
A bezier curve defined by its two extremities and two control points.
x0 | Start point (x coordinate) |
y0 | Start point (y coordinate) |
xc0 | Start control point (x coordinate) |
yc0 | Start control point (y coordinate) |
x1 | End point (x coordinate) |
y1 | End point (y coordinate) |
xc1 | End control point (x coordinate) |
yc1 | End control point (y coordinate) |
style | Shape style. |
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default |
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default |
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overridedefault |
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overridevirtual |
Accept a composite shape transform.
transform | A composite shape transform object. |
Reimplemented from LibBoard::Shape.
References LibBoard::CompositeShapeTransform::map().
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overridevirtual |
Accept a constant composite shape transform.
transform | A constant composite shape transform object.. |
Reimplemented from LibBoard::Shape.
References LibBoard::CompositeShapeTransform::map().
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overridevirtual |
Accepts a const-shape visitor object.
visitor | A const-shape visitor object. |
Reimplemented from LibBoard::Shape.
References LibBoard::ConstShapeVisitor::visit().
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overridevirtual |
Accepts a visitor object.
visitor | A visitor object. |
Reimplemented from LibBoard::Shape.
References LibBoard::ShapeVisitor::visit().
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overridevirtual |
Accepts a const-shape visitor object.
visitor | A const-shape visitor object. |
Reimplemented from LibBoard::Shape.
References LibBoard::ConstShapeVisitor::visit().
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overridevirtual |
Accepts a visitor object.
visitor | A visitor object. |
Reimplemented from LibBoard::Shape.
References LibBoard::ShapeVisitor::visit().
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overridevirtual |
Return the bounding box of the curve.
Implements LibBoard::Shape.
References _path, LibBoard::Path::boundingBox(), LibBoard::IgnoreLineWidth, LibBoard::ShapeWithStyle::lineCap(), LibBoard::ShapeWithStyle::lineWidth(), LSHOW, LibBoard::Path::Open, path(), LibBoard::Tools::pathBoundingBox(), pathThroughLocalExtremums(), LibBoard::Path::points(), LibBoard::RoundJoin, and LibBoard::UseLineWidth.
Referenced by main().
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overridevirtual |
Return a copy of the curve.
Implements LibBoard::ShapeWithStyle.
Referenced by LibBoard::RoughVisitor::map(), LibBoard::RoughVisitor::map(), and LibBoard::RoughVisitor::map().
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inline |
The series of control points points defining the curve, as a path.
References _controls.
Referenced by LibBoard::bezierControls(), interpolation(), LibBoard::RoughVisitor::map(), operator+=(), scale(), smoothedPolyline(), and smoothedPolyline().
Path LibBoard::Bezier::discretizedPath | ( | ) | const |
A sequence of properly spaced points approximating the curve.
References _controls, _path, path(), and LibBoard::Path::points().
Referenced by main().
Point LibBoard::Bezier::eval | ( | Path::size_type | interval, |
double | t | ||
) | const |
Get a point of the curve given its interval between two curve points and a position in [0..1].
interval | Position of the preceding curve point. |
t | Time position within the interval, in [0..1]. |
References _controls, _path, and LibBoard::Path::size().
Referenced by pathThroughLocalExtremums().
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overridevirtual |
Write the FIG code of the shape in a stream according to a transform.
stream | The output stream. |
transform | A 2D transform to be applied. |
colormap |
Implements LibBoard::Shape.
References LibBoard::Tools::unused(), and LibBoard::Tools::warning.
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overridevirtual |
Write the EPS code of the shape in a stream according to a transform.
stream | The output stream. |
transform | A 2D transform to be applied. |
Implements LibBoard::Shape.
References _controls, _path, LibBoard::ShapeWithStyle::_style, LibBoard::Path::empty(), LibBoard::Tools::error, LibBoard::ShapeWithStyle::fillColor(), LibBoard::ShapeWithStyle::filled(), LibBoard::Color::flushPostscript(), LibBoard::ShapeWithStyle::lineWidth(), LibBoard::Transform::mapX(), LibBoard::TransformEPS::mapY(), LibBoard::Color::Null, LibBoard::ShapeWithStyle::penColor(), LibBoard::Path::points(), LibBoard::Style::postscriptProperties(), and LibBoard::Path::size().
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overridevirtual |
Write the SVG code of the shape in a stream according to a transform.
stream | The output stream. |
transform | A 2D transform to be applied. |
Implements LibBoard::Shape.
References _controls, _path, LibBoard::ShapeWithStyle::_style, LibBoard::Path::empty(), LibBoard::Tools::error, LibBoard::Transform::mapX(), LibBoard::TransformSVG::mapY(), LibBoard::Path::points(), LibBoard::Path::size(), and LibBoard::Style::svgProperties().
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overridevirtual |
Write the TikZ code of the shape in a stream according to a transform.
stream | The output stream. |
transform | A 2D transform to be applied. |
Implements LibBoard::Shape.
References LibBoard::Tools::unused(), and LibBoard::Tools::warning.
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static |
Bezier interpolation passing through 4 points.
a | |
b | |
c | |
d | |
style |
References controls(), and LibBoard::ShapeWithStyle::style().
Referenced by main(), LibBoard::RoughVisitor::map(), LibBoard::RoughVisitor::map(), and LibBoard::RoughVisitor::map().
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overridevirtual |
The generic name of the shape (e.g., Circle, Rectangle, etc.)
Reimplemented from LibBoard::Shape.
Add points and crontrol points of another curve.
other | A Bezier curve. |
References _controls, _path, LibBoard::Path::back(), controls(), LibBoard::Path::front(), LibBoard::Point::norm(), LibBoard::Point::normalised(), path(), LibBoard::Path::points(), and LibBoard::Path::push_back().
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inline |
The series of points defining the curve, as a path.
References _path.
Referenced by LibBoard::bezierControls(), boundingBox(), discretizedPath(), LibBoard::RoughVisitor::map(), operator+=(), smoothedPolyline(), and smoothedPolyline().
std::vector< Point > LibBoard::Bezier::pathThroughLocalExtremums | ( | ) | const |
A path through local extremums.
References _controls, _path, LibBoard::Tools::almostEqual(), LibBoard::Path::back(), eval(), LibBoard::Path::points(), LibBoard::Tools::solveQuadratic(), LibBoard::Point::x, and LibBoard::Point::y.
Referenced by boundingBox(), and main().
Bezier LibBoard::Bezier::resized | ( | double | w, |
double | h, | ||
LineWidthFlag | lineWidthFlag | ||
) | const |
Returns a resized copy of the Bezier.
w | Width of the new Bezier. |
h | Height of the new Bezier. |
lineWidthFlag | Should the line width be considered when computing bounding boxes. |
References LibBoard::Shape::resize().
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overridevirtual |
Rotate the Bezier curve around its bounding box center.
angle | The rotation angle. |
Implements LibBoard::Shape.
References _controls, _path, LibBoard::Shape::center(), and LibBoard::Path::rotate().
Rotate the Bezier curve.
angle | The rotation angle. |
center | Center of the rotation. |
Implements LibBoard::Shape.
References _controls, _path, LibBoard::Shape::center(), and LibBoard::Path::rotate().
Bezier LibBoard::Bezier::rotated | ( | double | angle | ) | const |
Return a rotated copy of the curve around its bounding box center.
angle | The rotation angle. |
References LibBoard::Shape::center(), and rotate().
Rotated copy of the curve.
angle | A rotation angle (in radians) |
center | The center of rotation |
References LibBoard::Shape::center(), and rotate().
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overridevirtual |
Scale the Bezier, given a scaling factor.
s | Scaling factor. |
Implements LibBoard::Shape.
References scale().
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overridevirtual |
Scale the Bezier, given two scaling factors.
sx | Scaling factor along the x axis. |
sy | Scaling factor along the y axis. |
Implements LibBoard::Shape.
References _controls, _path, LibBoard::Path::begin(), LibBoard::Path::clear(), controls(), LibBoard::Path::Open, LibBoard::Path::points(), LibBoard::Path::scale(), and LibBoard::ShapeWithStyle::updateLineWidth().
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overridevirtual |
Scales all the values (positions, dimensions, etc.) associated with the shape.
s | The scaling factor. |
Implements LibBoard::Shape.
References _controls, _path, and LibBoard::Path::scaleAll().
Bezier LibBoard::Bezier::scaled | ( | double | s | ) | const |
Returns a scaled copy of the line.
s | The scaling factor. |
References scale().
Bezier LibBoard::Bezier::scaled | ( | double | sx, |
double | sy | ||
) | const |
Returns a scaled copy of the line.
sx | The scaling factor along the x axis. |
sy | The scaling factor along the y axis. |
References scale().
Referenced by main().
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static |
Build a Bezier curve as a 'rounded' version of a Polyline.
path | A path defining a polyline. |
roundness | |
style |
References controls(), LibBoard::Path::isClosed(), path(), LibBoard::Path::points(), LibBoard::Path::push_back(), LibBoard::Path::size(), smoothedPolyline(), and LibBoard::ShapeWithStyle::style().
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static |
Build a Bezier curve as a 'rounded' version of a Polyline.
path | A sequence of points defining a polyline. |
roundness | |
style |
References LibBoard::Path::back(), controls(), LibBoard::mix(), path(), LibBoard::Path::push_back(), LibBoard::Path::size(), and LibBoard::ShapeWithStyle::style().
Referenced by main(), LibBoard::RoughVisitor::map(), mustache(), and smoothedPolyline().
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overridevirtual |
Translate the Bezier by a given offset.
dx | Shift of the first coordinate. |
dy | Shift of the second coordinate. |
Implements LibBoard::Shape.
References _controls, _path, and LibBoard::Path::translate().
Referenced by translated().
Bezier LibBoard::Bezier::translated | ( | double | dx, |
double | dy | ||
) | const |
Returns a translated copy of the Bezier.
dx | Shift of the first coordinate. |
dy | Shift of the second coordinate. |
References translate().
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protected |
Referenced by Bezier(), Bezier(), Bezier(), Bezier(), controls(), discretizedPath(), eval(), flushPostscript(), flushSVG(), operator+=(), pathThroughLocalExtremums(), rotate(), rotate(), scale(), scaleAll(), and translate().
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protected |
Referenced by Bezier(), Bezier(), Bezier(), Bezier(), boundingBox(), discretizedPath(), eval(), flushPostscript(), flushSVG(), operator+=(), path(), pathThroughLocalExtremums(), rotate(), rotate(), scale(), scaleAll(), and translate().