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.Dd December 21, 2022
.Dt M_RECTANGLE 3
.Os Agar 1.7
.Sh NAME
.Nm M_Rectangle
.Nd Agar-Math rectangle structure
.Sh SYNOPSIS
.Bd -literal
#include <agar/core.h>
#include <agar/gui.h>
#include <agar/math/m.h>
.Ed
.Sh DESCRIPTION
.\" MANLINK(M_Rectangle2)
The
.Ft M_Rectangle2
structure describes a rectangle in R^2 in terms of four points:
.Bd -literal
.\" SYNTAX(c)
typedef struct m_rectangle2 {
	M_Vector2 a, b, c, d;
} M_Rectangle2;
.Ed
.\" MANLINK(M_Rectangle3)
.Pp
Similarly,
.Ft M_Rectangle3
describes a rectangle in R^3:
.Bd -literal
.\" SYNTAX(c)
typedef struct m_rectangle3 {
	M_Vector3 a, b, c, d;
} M_Rectangle3;
.Ed
.Sh INITIALIZATION
.nr nS 1
.Ft M_Rectangle2
.Fn M_RectangleFromLines2 "M_Line2 L1" "M_Line2 L2"
.Pp
.Ft M_Rectangle3
.Fn M_RectangleFromLines3 "M_Line2 L1" "M_Line2 L2" "M_Line2 L3"
.Pp
.Ft M_Rectangle2
.Fn M_RectangleFromPts2 "M_Vector2 a" "M_Vector2 b"
.Pp
.Ft M_Rectangle3
.Fn M_RectangleFromPts3 "M_Vector3 a" "M_Vector3 b" "M_Vector3 c"
.Pp
.Ft M_Rectangle2
.Fn M_RectangleRead2 "AG_DataSource *ds"
.Pp
.Ft M_Rectangle3
.Fn M_RectangleRead3 "AG_DataSource *ds"
.Pp
.Ft void
.Fn M_RectangleWrite2 "AG_DataSource *ds" "M_Rectangle2 *R"
.Pp
.Ft void
.Fn M_RectangleWrite3 "AG_DataSource *ds" "M_Rectangle3 *R"
.Pp
.Ft M_Rectangle2
.Fn M_RECTANGLE2_INITIALIZER "M_Vector2 a" "M_Vector2 b" "M_Vector2 c"
.Pp
.Ft M_Rectangle3
.Fn M_RECTANGLE3_INITIALIZER "M_Vector3 a" "M_Vector3 b" "M_Vector3 c"
.Pp
.nr nS 0
The functions
.Fn M_RectangleFromLines2
and
.Fn M_RectangleFromLines3
return an
.Ft M_Rectangle2
or
.Ft M_Rectangle3
describing a rectangle in terms of two or three lines.
.Pp
.Fn M_RectangleFromPts2
and
.Fn M_RectangleFromPts3
return a rectangle in terms of two or three points.
.Pp
The
.Fn M_RectangleRead[23]
and
.Fn M_RectangleWrite[23]
functions read or write a rectangle structure from/to an
.Xr AG_DataSource 3 .
.Pp
The macros
.Fn M_RECTANGLE2_INITIALIZER
and
.Fn M_RECTANGLE3_INITIALIZER
expand to static initializers for
.Ft M_Rectangle2
and
.Ft M_Rectangle3 ,
respectively.
.Sh COMPUTATIONS
.nr nS 1
.Ft int
.Fn M_PointInRectangle2 "M_Rectangle2 R" "M_Vector2 p"
.Pp
.Ft M_Real
.Fn M_RectangleWidth2 "M_Rectangle2 R"
.Pp
.Ft M_Real
.Fn M_RectangleWidth2v "const M_Rectangle2 *R"
.Pp
.Ft M_Real
.Fn M_RectangleHeight2 "M_Rectangle2 R"
.Pp
.Ft M_Real
.Fn M_RectangleHeight2v "const M_Rectangle2 *R"
.Pp
.Ft M_Real
.Fn M_RectangleWidth3 "M_Rectangle3 R"
.Pp
.Ft M_Real
.Fn M_RectangleWidth3v "const M_Rectangle3 *R"
.Pp
.Ft M_Real
.Fn M_RectangleHeight3 "M_Rectangle3 R"
.Pp
.Ft M_Real
.Fn M_RectangleHeight3v "const M_Rectangle3 *R"
.Pp
.nr nS 0
The
.Fn M_PointInRectangle2
routine tests whether point
.Fa p
lies inside the rectangle
.Fa R
and returns 1 if it does, otherwise 0.
.Pp
The
.Fn M_RectangleWidth[23]
and
.Fn M_RectangleHeight[23]
routines return the width and height of the rectangle.
.Sh SEE ALSO
.Xr AG_DataSource 3 ,
.Xr AG_Intro 3 ,
.Xr M_Circle 3 ,
.Xr M_Geometry 3 ,
.Xr M_Plane 3 ,
.Xr M_Polygon 3 ,
.Xr M_Rectangle 3 ,
.Xr M_Sphere 3 ,
.Xr M_Triangle 3 ,
.Xr M_Vector 3
.Sh HISTORY
The
.Nm
structure first appeared in Agar 1.3.4.