addpt, subpt, mulpt, divpt, rectaddpt, rectsubpt, insetrect, canonrect, eqpt, eqrect, ptinrect, rectinrect, rectXrect, rectclip, combinerect, Dx, Dy, Pt, Rect, Rpt – arithmetic on points and rectangles

#include <u.h>
#include <libc.h>
#include <draw.h>

Point       addpt(Point p, Point q)

Point       subpt(Point p, Point q)

Point       mulpt(Point p, int a)

Point       divpt(Point p, int a)

Rectangle rectaddpt(Rectangle r, Point p)

Rectangle rectsubpt(Rectangle r, Point p)

Rectangle insetrect(Rectangle r, int n)

Rectangle canonrect(Rectangle r)

int         eqpt(Point p, Point q)

int         eqrect(Rectangle r, Rectangle s)

int         ptinrect(Point p, Rectangle r)

int         rectinrect(Rectangle r, Rectangle s)

int         rectXrect(Rectangle r, Rectangle s)

int         rectclip(Rectangle *rp, Rectangle b)

void        combinerect(Rectangle *rp, Rectangle b)

int         Dx(Rectangle r)

int         Dy(Rectangle r)

Point       Pt(int x, int y)

Rectangle Rect(int x0, int y0, int x1, int y1)

Rectangle Rpt(Point p, Point q)

The functions Pt, Rect and Rpt construct geometrical data types from their components.

Addpt returns the Point sum of its arguments: Pt(p.x+q.x, p.y+q.y). Subpt returns the Point difference of its arguments: Pt(p.x–q.x, p.y–q.y). Mulpt returns the Point Pt(p.x*a, p.y*a). Divpt returns the Point Pt(p.x/a, p.y/a).

Rectaddpt returns the Rectangle Rect(add(r.min, p), add(r.max, p)); rectsubpt returns the Rectangle Rpt(sub(r.min, p), sub(r.max, p)).

Insetrect returns the Rectangle Rect(r.min.x+n, r.min.y+n, r.max.x–n, r.max.y–n).

Canonrect returns a rectangle with the same extent as r, canonicalized so that min.x ≤ max.x, and min.y ≤ max.y.

Eqpt compares its argument Points and returns 0 if unequal, 1 if equal. Eqrect does the same for its argument Rectangles.

Ptinrect returns 1 if p is a point within r, and 0 otherwise.

Rectinrect returns 1 if all the pixels in r are also in s, and 0 otherwise.

RectXrect returns 1 if r and s share any point, and 0 otherwise.

Rectclip clips in place the Rectangle pointed to by rp so that it is completely contained within b. The return value is 1 if any part of *rp is within b. Otherwise, the return value is 0 and *rp is unchanged.

Combinerect overwrites *rp with the smallest rectangle sufficient to cover all the pixels of *rp and b.

The functions Dx and Dy give the width (Δx) and height (Δy) of a Rectangle. They are implemented as macros.


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