GraphMath unit

A set of mathematical helper routines to simply cross-platform canvas drawing.

graphmath.pp contains math helper routines for use for graphics drawing. It is used to simply cross-platform canvas drawing operations. graphmath.pp is part of the LazUtils package.

Classes and records

TFloatPoint record TFloatPoint is an extended precision record specifying the X and Y coordinates of a point in a graphic environment.

Procedures and functions

`add(Extended,TFloatPoint):TFloatPoint`	operator
`add(TFloatPoint,Extended):TFloatPoint`	operator
`add(TFloatPoint,TFloatPoint):TFloatPoint`	operator
`add(TFloatPoint,TPoint):TFloatPoint`	operator
`add(TPoint,TFloatPoint):TFloatPoint`	operator
`Angles2Coords`	procedure	Converts an Eccentric Angle and an Angle-Length, into the coordinates for the Start and End radial Points.
`Arc2Bezier`	procedure	Converts an Arc and ArcLength into a Bezier Approximation of the Arc.
`Arc2PolyBezier`	procedure	Approximates an elliptical arc by an array of Bezier segments consisting of curve and control points.
`assign(TFloatPoint):TPoint`	operator
`assign(TPoint):TFloatPoint`	operator
`Bezier`	function	Gets a TBezier instance representing the specified Bezier control points.
`Bezier2Polyline`	procedure	Bezier2Polyline - convert a 4-Point Bezier into a Pointer Array of TPoint and a Count variable.
`BezierArcPoints`	procedure	Converts an Arc and ArcLength into a Pointer to an Array of TPoints for use with Polyline or Polygon.
`BezierMidPoint`	function	BezierMidPoint - get the Mid-Point of any 4-Point Bezier. It is primarily for use in SplitBezier.
`CalculateLeftTopWidthHeight`	procedure	Calculates the values for the output variables in Left, Top, Width, and Height.
`Coords2Angles`	procedure	Coords2Angles - convert the coords for Start and End Radial- Points into an Eccentric counter clockwise Angle and an Angle-Length.
`Distance`	function	Gets the distance between two points, or the distance of a point from a specified line.
`divide(TFloatPoint,Extended):TFloatPoint`	operator
`divide(TFloatPoint,TFloatPoint):TFloatPoint`	operator
`divide(TFloatPoint,TPoint):TFloatPoint`	operator
`divide(TPoint,TFloatPoint):TFloatPoint`	operator
`EccentricAngle`	function	EccentricAngle - get the Eccentric Angle of a given point on any non-rotated ellipse.
`EllipsePolygon`	function	Gets an array of points for a polygon which approximates an ellipse in the specified rectangle.
`EllipseRadialLength`	function	EllipseRadialLength - Radial-Length of non-rotated ellipse at any given Eccentric Angle.
`EllipseRadialLengthFromPolarAngle`	function
`equal(TFloatPoint,TFloatPoint):Boolean`	operator
`equal(TPoint,TPoint):Boolean`	operator
`equal(TRect,TRect):Boolean`	operator
`FloatPoint`	function	FloatPoint - it is essentially like Classes.Point in use, except that it accepts Extended Parameters. It is Primarily for use with and in Bezier routines.
`LineEndPoint`	function	LineEndPoint - get the End-Point of a line of any given Length at any given angle with any given Start-Point.
`MakeMinMax`	procedure	Ensures that the i1 argument is the smaller of the two Integer values.
`MoveRect`	procedure	Moves the specified rectangle to the origin in the x and y arguments.
`MoveRectToFit`	procedure	Moves and potentially resizes a rectangle to fit within the specified target rectangle.
`multiply(Extended,TFloatPoint):TFloatPoint`	operator
`multiply(TFloatPoint,Extended):TFloatPoint`	operator
`multiply(TFloatPoint,TFloatPoint):TFloatPoint`	operator
`multiply(TFloatPoint,TPoint):TFloatPoint`	operator
`multiply(TPoint,TFloatPoint):TFloatPoint`	operator
`PolyBezier2Polyline`	procedure	PolyBezier2Polyline - convert an array of 4-Point Bezier into a Pointer Array of TPoint and a Count variable.
`PolyBezierArcPoints`	procedure	PolyBezierArcPoints - convert an Arc and ArcLength into a Pointer Array of TPoints for use with Polyline or Polygon.
`Quadrant`	function	Determine the Quadrant of any point, given the Center.
`RadialPoint`	function	Get the RadialPoint at any given Eccentric angle on any non- rotated ellipse.
`RotatePoint`	function	Rotates a point around the origin by the specified angle (in radians).
`RotateRect`	function	Rotates a rectangle with the specified dimensions by the specified angle (in radians).
`SameRect`	function	Indicates whether member in the specified rectangles have the same values.
`SplitBezier`	procedure	SplitBezier - split any 4-Point Bezier into two 4-Point Beziers: a 'Left' and a 'Right'
`subtract(TFloatPoint,Extended):TFloatPoint`	operator
`subtract(TFloatPoint,TFloatPoint):TFloatPoint`	operator
`subtract(TFloatPoint,TPoint):TFloatPoint`	operator
`subtract(TPoint,TFloatPoint):TFloatPoint`	operator

Types

`PPoint`	type	Pointer to the TPoint type.
`TBezier`	type	Array type used to store the coordinates for Bezier control points as floating point values.
`TBezierPointArray`	type	Dynamically-sized array used to store TFloatPoint instances.

Topics

GraphMathOperators topic GraphMath Operators.

Uses

An experiment, built from development snapshots. Not the official Free Pascal or Lazarus documentation.