1000 PUBLIC NUMERIC x,y
1010 LET x=1
1020 LET y=2
1030 !
1040 DEF isLeft2(L(,),p()) = -SGN(  (L(1,x)-L(2,x))*(p(y)-L(2,y)) - (p(x)-L(2,x))*(L(1,y)-L(2,y)))
1050 !
1060 FUNCTION inpolygon(p1(,),p2())
1070    LET k=UBOUND(p1,1)+1
1080    DIM send (1 TO 2,2)
1090    LET wn=0
1100    FOR n=1 TO UBOUND(p1,1)
1110       LET index=MOD(n, k)
1120       LET nextindex=MOD(n+1, k)
1130       IF nextindex=0 THEN LET nextindex=1
1140       LET send(1,x)=p1(index,x)
1150       LET send(2,x)=p1(nextindex,x)
1160       LET send(1,y)=p1(index,y)
1170       LET send(2,y)=p1(nextindex,y)
1180       IF p1(index,y)<=p2(y) THEN
1190          IF p1(nextindex,y)>p2(y) THEN
1200             IF isleft2(send,p2)>=0 THEN !'=
1210                LET wn=wn+1
1220             END IF
1230          END IF
1240       ELSE
1250          IF p1(nextindex,y)<=p2(y) THEN
1260             IF isleft2(send,p2)<=0 THEN !'=
1270                LET wn=wn-1
1280             END IF
1290          END IF
1300       END IF
1310    NEXT n
1320    LET inpolygon = wn
1330 END FUNCTION
1340 !
1350 DIM type(1 TO 2)
1360 !
1370 DIM square(4,2)
1380 MAT READ square
1390 DATA 0,0,10,0,10,10,0,10
1400 !
1410 DIM hole(4,2)
1420 MAT READ hole
1430 DATA 2.5,2.5,7.5,2.5,7.5,7.5,2.5,7.5
1440 !
1450 DIM strange(8,2)
1460 MAT READ strange
1470 DATA 0,0,2.5,2.5,0,10,2.5,7.5,7.5,7.5,10,10,10,0,2.5,2.5
1480 !
1490 DIM exagon(6,2)
1500 MAT READ exagon
1510 DATA 3,0,7,0,10,5,7,10,3,10,0,5
1520 !
1530 ! printouts
1540 FOR z=1 TO 4
1550    SELECT CASE z
1560    CASE 1
1570       PRINT "squared"
1580       PRINT "(5,5)  ";TAB(12);
1590       MAT READ type
1600       DATA 5,5
1610       IF inpolygon(square,type) <> 0 THEN PRINT "in" ELSE PRINT "out"
1620       MAT READ type
1630       DATA 5,8
1640       PRINT "(5,8)  ";TAB(12);
1650       IF inpolygon(square,type) <> 0 THEN PRINT "in" ELSE PRINT "out"
1660       PRINT "(-10,5)  ";TAB(12);
1670       MAT READ type
1680       DATA -10,5
1690       IF inpolygon(square,type) <> 0 THEN PRINT "in" ELSE PRINT "out"
1700       Print "(0,5)  ";Tab(12);
1710       MAT READ type
1720       DATA 0,5
1730       IF inpolygon(square,type) <> 0 THEN PRINT "in" ELSE PRINT "out"
1740       Print "(10,5)  ";Tab(12);
1750       MAT READ type
1760       DATA 10,5
1770       IF inpolygon(square,type) <> 0 THEN PRINT "in" ELSE PRINT "out"
1780       PRINT "(8,5)  ";TAB(12);
1790       MAT READ type
1800       DATA 8,5
1810       IF inpolygon(square,Type) <> 0 THEN PRINT "in" ELSE PRINT "out"
1820       PRINT "(10,10)  ";TAB(12);
1830       MAT READ type
1840       DATA 10,10
1850       IF inpolygon(square,Type) <> 0 THEN PRINT "in" ELSE PRINT "out"
1860       PRINT
1870    CASE 2
1880       PRINT "squared hole"
1890       PRINT "(5,5)  ";TAB(12);
1900       MAT READ type
1910       DATA 5,5
1920       IF NOT inpolygon(hole,Type)<>0 AND inpolygon(square,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
1930       Print "(5,8)  ";Tab(12);
1940       MAT READ type
1950       DATA 5,8
1960       IF NOT inpolygon(hole,Type)<>0 AND inpolygon(square,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
1970       PRINT "(-10,5)  ";TAB(12);
1980       MAT READ type
1990       DATA -10,5
2000       IF NOT inpolygon(hole,Type)<>0 AND inpolygon(square,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2010       PRINT "(0,5)  ";TAB(12);
2020       MAT READ type
2030       DATA 0,5
2040       IF NOT inpolygon(hole,Type)<>0 AND inpolygon(square,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2050       PRINT "(10,5)  ";TAB(12);
2060       MAT READ type
2070       DATA 10,5
2080       IF NOT inpolygon(hole,Type)<>0 AND inpolygon(square,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2090       PRINT "(8,5)  ";TAB(12);
2100       MAT READ type
2110       DATA 8,5
2120       IF NOT inpolygon(hole,Type)<>0 AND inpolygon(square,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2130       PRINT "(10,10)  ";TAB(12);
2140       MAT READ type
2150       DATA 10,10
2160       IF NOT inpolygon(hole,Type)<>0 AND inpolygon(square,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2170       PRINT
2180    CASE 3
2190       PRINT "strange"
2200       PRINT "(5,5)  ";TAB(12);
2210       MAT READ type
2220       DATA 5,5
2230       IF inpolygon(strange,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2240       PRINT "(5,8)  ";TAB(12);
2250       MAT READ type
2260       DATA 5,8
2270       IF inpolygon(strange,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2280       PRINT "(-10,5)  ";TAB(12);
2290       MAT READ type
2300       DATA -10,5
2310       IF inpolygon(strange,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2320       PRINT "(0,5)  ";TAB(12);
2330       MAT READ type
2340       DATA 0,5
2350       IF inpolygon(strange,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2360       PRINT "(10,5)  ";TAB(12);
2370       MAT READ type
2380       DATA 10,5
2390       IF inpolygon(strange,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2400       PRINT "(8,5)  ";TAB(12);
2410       MAT READ type
2420       DATA 8,5
2430       IF inpolygon(strange,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2440       PRINT "(10,10)  ";TAB(12);
2450       MAT READ type
2460       DATA 10,10
2470       IF inpolygon(strange,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2480       PRINT
2490    CASE 4
2500       PRINT "exagon"
2510       PRINT "(5,5)  ";TAB(12);
2520       MAT READ type
2530       DATA 5,5
2540       IF inpolygon(exagon,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2550       PRINT "(5,8)  ";TAB(12);
2560       MAT READ type
2570       DATA 5,8
2580       IF inpolygon(exagon,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2590       PRINT "(-10,5)  ";TAB(12);
2600       MAT READ type
2610       DATA -10,5
2620       IF inpolygon(exagon,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2630       PRINT "(0,5)  ";TAB(12);
2640       MAT READ type
2650       DATA 0,5
2660       IF inpolygon(exagon,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2670       PRINT "(10,5)  ";TAB(12);
2680       MAT READ type
2690       DATA 10,5
2700       IF inpolygon(exagon,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2710       PRINT "(8,5)  ";TAB(12);
2720       MAT READ type
2730       DATA 8,5
2740       IF inpolygon(exagon,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2750       PRINT "(10,10)  ";TAB(12);
2760       MAT READ type
2770       DATA 10,10
2780       IF inpolygon(exagon,Type)<>0 THEN PRINT "in" ELSE PRINT "out"
2790       PRINT
2800    END SELECT
2810 NEXT z
2820 END