By Ian O. Angell, Brian J. Jones
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Extra resources for Advanced Graphics with the Sinclair ZX Spectrum
Note also that since the vertices of the N·gon are only needed once, we do not store their values but calculate them as required . Again, the limitation in resolution of the screen is apparent on the circumference of the circle. 10a REM ci rc Le1 301 REM IN : XCENT, YCENT, R, XYSCALE 31~ LET XMOVE = XCENT: LET YMOVE = YCENT : GO SUB setorig in 320 LET AOIF = 3/(R*XYSCALE) 33~ LET XPT = R: LET YPT = 0: GO SUB moveto 339 REM caLculate and join points (XPT,YPT) around the circLe. 1 Ob 400 401 410 420 REM circLe2 REM IN : XCENT, YCENT, R, XYSCALE CIRCLE FN X(X CENT) , FN Y(YCENT),R*XYSCALE RETURN We saw that the Spectrum has a BASIC function CIRCLE that enables us to draw a circle.
1 Identify a rectangle in Cartesian space, 30 units by 20 units, with the graphics frame of the Spectrum. 2a) . 5). 6. 6 10fl REM draw;r,g a square 109 REM setup i dent i f i e r s to graph ics routines. 110 LET start 970fl: LET set or i gi n 960fl: LET moveto : LET l i ne t o = 940fl 119 REM define graph ics area. 5 150 GO SUB setor igin 159 REM jo in corners of square in order. 2 It is as well to note , at this juncture, that the order in which the points are joined is critical. 2b will be drawn.
1, which shows a line segment between points (-3, -1) == p(O) and (3, 2)==p(1) : the point (1,1) lies on the line asp(2/3) . Note that (3, 2) is a distance 3y5 from (-3, -1), whereas (1, 1) is a distance 2Y5 . From now on we omit the (/l) from the point vector. 1. At first sight it looks complicated, but on closer inspection it is seen to be simply a square, outside a square, outside a square, etc. The squares are getting successively smaller and they are rotating through a constant angle. In order to draw the diagram we need a technique that, when given a general square, draws a smaller internal square rotated through this fixed angle.