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trains.bmx
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trains.bmx
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Function linesintersect#(ax#,ay#,bx#,by#,cx#,cy#,dx#,dy#,fit=0)
'fit, bitmask, set:
' 1: doesn't need to be on first segment
' 2: doesn't need to be on second segment
bx:-ax
by:-ay
dx:-cx
dy:-cy
If dx<>0
lambda#=(cy-ay+(ax-cx)*dy/dx)/(by-bx*dy/dx)
Else
lambda#=(cx-ax+(ay-cy)*dx/dy)/(bx-by*dx/dy)
EndIf
If bx<>0
mu#=(ay-cy+(cx-ax)*by/bx)/(dy-dx*by/bx)
Else
mu#=(ax-cx+(cy-ay)*bx/by)/(dx-dy*bx/by)
EndIf
Rem
Print String(ax)+" , "+String(ay)
Print String(bx)+" , "+String(by)
Print String(cx)+" , "+String(cy)
Print String(dx)+" , "+String(dy)
Print lambda
Print mu
WaitKey
EndRem
If (lambda#>=0 And lambda<=1) Or (fit & 1)
If (mu#>=0 And mu<=1) Or (fit & 2)
Return lambda
EndIf
EndIf
Return -1
End Function
Function pointdistance#(px#,py#,ax#,ay#,bx#,by#)
dx#=bx-ax
dy#=by-ay
an#=ATan2(dy,dx)
nx#=Cos(an+90)
ny#=Sin(an+90)
lambda#=(py-ay+(ax-px)*dy/dx)/(nx*dy/dx-ny)
Return lambda#
End Function
Type pathenumerator
Field pl:TLink
Field p0:Float[2],p1:Float[2],p2:Float[2],p3:Float[2]
Field t#
Field c
Field points:TList
Function Create:pathenumerator(points:TList)
pe:pathenumerator=New pathenumerator
pe.points=points
pe.init
Return pe
End Function
Method init()
pl = points.firstlink()
p0 = Float[](pl.value())
pl = pl.nextlink()
p1 = Float[](pl.value())
pl = pl.nextlink()
p2 = Float[](pl.value())
pl = pl.nextlink()
p3 = Float[](pl.value())
t#=0
c=0
End Method
Method hasnext()
If points.count()<4 Return 0
If t<1 Or pl.nextlink() Return 1 Else Return 0
End Method
Method nextobject:Object()
Local point#[2]
If t<=1
x# = .5 * ( (2 * p1[0]) + (p2[0] - p0[0]) * t + (2 * p0[0] - 5 * p1[0] + 4 * p2[0] - p3[0]) * t * t + (3 * p1[0] - p0[0] - 3 * p2[0] + p3[0]) * t * t * t)
y# = .5 * ( (2 * p1[1]) + (p2[1] - p0[1]) * t + (2 * p0[1] - 5 * p1[1] + 4 * p2[1] - p3[1]) * t * t + (3 * p1[1] - p0[1] - 3 * p2[1] + p3[1]) * t * t * t)
If t<1
t:+.1
If t>1 t=1
Else
t=2
EndIf
point=[x,y]
Return point
Else
p0 = p1
p1 = p2
p2 = p3
pl=pl.nextlink()
p3=Float[](pl.value())
t=.1
Return nextobject()
EndIf
End Method
End Type
Type path
Field points:TList
Field minx#,maxx#,miny#,maxy#
Field outline:TList
Field loops:TList
Method New()
points=New TList
End Method
Method addpoint(x#,y#)
Local point#[2]
point[0]=x
point[1]=y
If points.count()=0
minx=x
miny=y
maxx=x
maxy=y
Else
If x<minx minx=x
If x>maxx maxx=x
If y<miny miny=y
If y>maxy maxy=y
EndIf
points.addlast point
End Method
Method removepoint()
If points.count()
points.removelast
EndIf
End Method
Method objectenumerator:pathenumerator()
dpoints:TList=points.copy()
If dpoints.count()
dpoints.addlast dpoints.last()
dpoints.addfirst dpoints.first()
EndIf
Return pathenumerator.Create(dpoints)
End Method
Method draw()
'If Not onscreen(minx,miny,maxx,maxy) Return
dpoints:TList=points.copy()
If dpoints.count()
dpoints.addlast dpoints.last()
dpoints.addfirst dpoints.first()
EndIf
Local p0#[2],p1#[2],p2#[2],p3#[2]
num=dpoints.count()
If num<4 Then Return 'Check there are enough points to draw a spline
Local point#[]
go=0
Local ox1#,oy1#,ox2#,oy2#,ox#,oy#
Local poly#[4]
'SetColor 255,0,0
size#=40
For point=EachIn Self
x#=point[0]
y#=point[1]
DrawRect x,y,1,1
dx#=x-ox
dy#=y-oy
an#=ATan2(dy,dx)+90
x1#=x+Cos(an)*size
y1#=y+Sin(an)*size
x2#=x-Cos(an)*size
y2#=y-Sin(an)*size
If go
poly=[ox1,oy1,ox2,oy2,x2,y2,x1,y1]
SetAlpha .2
'DrawPoly poly
DrawLine ox1,oy1,x1,y1
DrawLine ox2,oy2,x2,y2
SetAlpha 1
DrawLine ox,oy,x,y
EndIf
ox = x
oy = y
ox1=x1
oy1=y1
ox2=x2
oy2=y2
go=1
Next
End Method
Method cansee(cx#,cy#,viewx#,viewy#)
go=0
Local orx#,ory#,rx#,ry#
Local point#[2]
tx#=cx+(viewx-cx)*.99
ty#=cy+(viewy-cy)*.99
For point=EachIn Self
rx=point[0]
ry=point[1]
If go
lambda#=linesintersect(tx,ty,cx,cy,orx,ory,rx,ry)
If lambda>=0
Return 0
EndIf
EndIf
orx=rx
ory=ry
go=1
Next
Return 1
End Method
Method canseeany:TList(cx#,cy#,vpoints:TList)
Local vpoint#[2]
go=0
Local orx#,ory#,rx#,ry#
Local point#[2]
vpoints=vpoints.copy()
For point=EachIn Self
rx=point[0]
ry=point[1]
If go
For vpoint=EachIn vpoints
dx#=cx-vpoint[0]
dy#=cy-vpoint[1]
tx1#=vpoint[0]+dx*.01
ty1#=vpoint[1]+dy*.01
tx2#=cx-dx*.01
ty2#=cy-dy*.01
lambda#=linesintersect(tx1,ty1,tx2,ty2,orx,ory,rx,ry)
If lambda>=0
vpoints.remove vpoint
If vpoints.count()=0 Return vpoints
EndIf
Next
EndIf
orx=rx
ory=ry
go=1
Next
Return vpoints
End Method
Method analyse:TList()
Local point#[2]
Local opoint#[2]
Local ox1#,oy1#,ox2#,oy2#,ox#,oy#
If points.count()<2 Return
outline:TList=New TList
go=0
size#=40
loops=New TList
For point=EachIn Self
x#=point[0]
y#=point[1]
dx#=x-ox
dy#=y-oy
an#=ATan2(dy,dx)+90
x1#=x+Cos(an)*size
y1#=y+Sin(an)*size
x2#=x-Cos(an)*size
y2#=y-Sin(an)*size
If go
outlinehits(ox1,oy1,x1,y1)
EndIf
opoint=[x1,y1]
outline.addlast opoint
ox = x
oy = y
ox1=x1
oy1=y1
ox2=x2
oy2=y2
go=1
Next
boloops:TList=loops.copy()
While boloops.count()
ldl:loop=loop(boloops.removefirst())
For l2:loop=EachIn boloops
If l2.points.contains(ldl.points.first()) Or ldl.points.contains(l2.points.first())
If dist(l2.x,l2.y,ldl.x,ldl.y)>10
ldl.neighbours.addlast l2
l2.neighbours.addlast ldl
EndIf
EndIf
Next
Wend
boloops:TList=loops.copy()
n=0
While boloops.count()
ldl:loop=pickonoutline(boloops,outline)
If ldl
n:+1
drawpath ldl.points
boloops.remove ldl
c=0
l:TList=makepath(ldl)
pa:TList=New TList
For l2:loop=EachIn l
point=[l2.x,l2.y]
pa.addlast point
Next
drawpath pa
For point=EachIn outline
If ldl.points.contains(point)
opoint=point
EndIf
Next
outline=splicelist(outline,pa,opoint)
Else
boloops=New TList
EndIf
Wend
outline.removefirst()
'SetLineWidth 2
'drawpath outline
'SetLineWidth 1
'DrawText n,200,100
Return outline
go=0
Local p1#[2],p2#[2],p3#[2]
point=Float[](outline.first())
ox=point[0]
oy=point[1]
cam:TList=New TList
For p3=EachIn outline
If go>2
x=(p1[0]+p2[0]+p3[0])/3
y=(p1[1]+p2[1]+p3[1])/3
DrawLine ox,oy,x,y
DrawRect x,y,4,4
point=[x,y]
cam.addlast point
ox=x
oy=y
EndIf
p1=p2
p2=p3
go:+1
Next
Return cam
End Method
Method makepath:TList(ldl:loop,l:TList=Null)
If Not l Then l=New TList
l.addlast ldl
added=0
For l2:loop=EachIn ldl.neighbours
If cansee(l2.x,l2.y,ldl.x,ldl.y)
If Not l.contains(l2)
makepath(l2,l)
added:+1
EndIf
EndIf
Next
If added
'l.addlast ldl
EndIf
Return l
End Method
Method pickonoutline:loop(boloops:TList,outline:TList)
For ldl:loop=EachIn boloops
If intersect(ldl.points,outline).count() Return ldl
Next
End Method
Method outlinehits(ox#,oy#,nx#,ny#)
Local oox#,ooy#,nox#,noy#
Local point#[2]
Local opoint#[2]
Local cpoint#[2]
ogo=0
boutline:TList=outline.copy()
outline=New TList
For opoint=EachIn boutline
nox=opoint[0]
noy=opoint[1]
If ogo
lambda#=linesintersect(ox,oy,nx,ny,oox,ooy,nox,noy)
If lambda>0 And lambda<1
point=[ox+(nx-ox)*lambda,oy+(ny-oy)*lambda]
outline.addlast point
bo=0
loopl:TList=New TList
For cpoint=EachIn boutline
If bo
'DrawLine cpoint[0],cpoint[1],800,800
loopl.addlast cpoint
Else
If opoint=cpoint
bo=1
loopl.addlast point
EndIf
EndIf
Next
loopl.addlast point
loops.addlast loop.Create(loopl)
Return
EndIf
EndIf
outline.addlast opoint
oox=nox
ooy=noy
ogo=1
Next
End Method
End Type
Type loop
Field points:TList
Field x#,y#
Field neighbours:TList
Method New()
neighbours=New TList
End Method
Function Create:loop(points:TList)
ldl:loop=New loop
ldl.points=points
Local point#[2]
tx#=0
ty#=0
For point=EachIn points
tx:+point[0]
ty:+point[1]
Next
tx:/points.count()
ty:/points.count()
ldl.x=tx
ldl.y=ty
Return ldl
End Function
End Type
Type train
Field rail:pathenumerator
Field orail#[],nrail#[2]
Field x#,y#
Field ox#,oy#
Field cam:TList
Field camx#,camy#,camvx#,camvy#
Field caman#
Field tcamx#,tcamy#
Field t#
Field done
Field p:path
Field rpoints:TList
Field camstack:TList
Field ocam:TList
Field camp1#[2],camp2#[2]
Method New()
camstack=New TList
End Method
Function Create:train(p:path)
t:train=New train
t.p=p
t.rail=p.objectenumerator()
t.cam=p.analyse()
t.ocam=t.cam
t.t=0
t.orail=t.nextrail()
t.nrail=t.nextrail()
Local point#[2]
point=Float[](t.cam.first())
t.camx=point[0]
t.camy=point[1]
t.rpoints=New TList
For point=EachIn p
t.rpoints.addlast point
Next
t.update
Return t
End Function
Method nextrail#[]()
Local point#[2]
If rail.hasnext()
point=Float[](rail.nextobject())
Return point
Else
done=1
EndIf
End Method
Method update()
ox=x
oy=y
x#=orail[0]*(1-t)+nrail[0]*t
y#=orail[1]*(1-t)+nrail[1]*t
dx#=nrail[0]-orail[0]
dy#=nrail[1]-orail[1]
d#=Sqr(dx*dx+dy*dy)
t:+.5/d
If t>=1
orail=nrail
nrail=nextrail()
t:-1
EndIf
End Method
Method updatecam()
camvx:*.9
camvy:*.9
camx:+camvx
camy:+camvy
caman:+andiff(ATan2(y-camy,x-camx),caman)*.1
If Not cam.count() Return
Local point#[],point2#[],opoint#[]
Global destx#,desty#
destx=x
desty=y
Function distcmp(o1:Object,o2:Object)
Local point1#[2],point2#[2]
point1=Float[](o1)
point2=Float[](o2)
d1#=dist(point1[0],point1[1],destx,desty)
d2#=dist(point2[0],point2[1],destx,desty)
If d1<d2
Return -1
Else
Return 1
EndIf
End Function
If Not (facingline(x,y,camp1[0],camp1[1],camp2[0],camp2[1]) And cansee(camx,camy,x,y))
'seen:TList=intersect(canseeany(x,y,cam),canseeany(camx,camy,cam))
seen:TList=canseeany(camx,camy,cam)
If seen.count()>=2
seen.sort(True,distcmp)
Local p1#[2],p2#[2]
camp1=Float[](seen.removefirst())
camp2=Float[](seen.removefirst())
'ElseIf seen.count()
' camp1=Float[](seen.removefirst())
' camp2=camp1
EndIf
EndIf
If camp1=camp2
tcamx=camp1[0]
tcamy=camp1[1]
Else
point=lineclosestpoint(x,y,camp1[0],camp1[1],camp2[0],camp2[1])
tcamx=point[0]
tcamy=point[1]
EndIf
SetLineWidth 2
'DrawLine camp1[0],camp1[1],camp2[0],camp2[1]
SetLineWidth 1
'DrawLine camp1[0],camp1[1],0,0
'DrawLine 0,0,camp2[0],camp2[1]
'Return
'DrawLine camx,camy,tcamx,tcamy
dx#=tcamx-camx
dy#=tcamy-camy
d#=Sqr(dx*dx+dy*dy)
dx:/d
dy:/d
If d<40
camvx:*d/40
camvy:*d/40
EndIf
If d<>0 And d>5
speed#=.3
camvx:+dx*speed
camvy:+dy*speed
EndIf
End Method
Method pickstack:TList()
Local point#[],point2#[],opoint#[]
stack:TList=New TList
seen:TList=canseeany(x,y,cam)
If seen.count()
point=Float[](cam.first())
If cansee(point[0],point[1],x,y)
mindist#=-1
For point=EachIn seen
If cansee(point[0],point[1],camx,camy)
d#=dist(point[0],point[1],x,y)
If d<mindist Or mindist=-1
mindist=d
point2=point
EndIf
EndIf
Next
trimcam point2
stack.addlast point2
Else
cam.removefirst
stack.addlast point
While Not cansee(point[0],point[1],x,y)
point=Float[](cam.removefirst())
stack.addlast point
Wend
EndIf
Else
Return stack
closest:loop=Null
mindist#=-1
For ldl:loop=EachIn p.loops
If cansee(ldl.x,ldl.y,x,y)
d#=dist(ldl.x,ldl.y,x,y)
If d<mindist Or mindist=-1
mindist=d
closest=ldl
EndIf
EndIf
Next
point=[closest.x,closest.y]
stack.addlast point
EndIf
If Not stack.count()
'cam=ocam
'Return pickstack()
EndIf
Return stack
End Method
Method trimcam(dpoint#[])
Local point#[]
n=0
For point=EachIn cam
If dpoint=point
Return
EndIf
cam.remove point
n:+1
Next
End Method
Method cansee(cx#,cy#,viewx#,viewy#)
go=0
Local orx#,ory#,rx#,ry#
Local point#[2]
tx#=cx+(viewx-cx)*.99
ty#=cy+(viewy-cy)*.99
For point=EachIn rpoints
rx=point[0]
ry=point[1]
If go
lambda#=linesintersect(tx,ty,cx,cy,orx,ory,rx,ry)
If lambda>=0
Return 0
EndIf
EndIf
orx=rx
ory=ry
go=1
Next
Return 1
End Method
Method canseeany:TList(cx#,cy#,vpoints:TList)
Local vpoint#[2]
go=0
Local orx#,ory#,rx#,ry#
Local point#[2]
vpoints=vpoints.copy()
For point=EachIn rpoints
rx=point[0]
ry=point[1]
If go
For vpoint=EachIn vpoints
dx#=cx-vpoint[0]
dy#=cy-vpoint[1]
tx1#=vpoint[0]+dx*.01
ty1#=vpoint[1]+dy*.01
tx2#=cx-dx*.01
ty2#=cy-dy*.01
lambda#=linesintersect(tx1,ty1,tx2,ty2,orx,ory,rx,ry)
If lambda>=0
vpoints.remove vpoint
If vpoints.count()=0 Return vpoints
EndIf
Next
EndIf
orx=rx
ory=ry
go=1
Next
Return vpoints
End Method
Method anycanseeany:TList(spoints:TList,vpoints:TList)
Local spoint#[2],vpoint#[2]
olist:TList=New TList
vpoints=vpoints.copy()
For spoint=EachIn spoints
viewed:TList=canseeany(spoint[0],spoint[1],vpoints)
For vpoint=EachIn viewed
vpoints.remove vpoint
olist.addlast vpoint
Next
Next
Return olist
End Method
Method draw()
an#=ATan2(y-oy,x-ox)
SetRotation an+90
SetColor 0,0,255
DrawRect x,y,10,20
SetRotation 0
DrawText camstack.count(),0,100
If cansee(camx,camy,x,y)
SetColor 255,255,255
Else
SetColor 255,0,0
EndIf
SetLineWidth 2
drawpath cam
SetLineWidth 1
DrawRect camx-5,camy-5,10,10
SetColor 255,255,255
End Method
End Type
Function drawpath(points:TList)
go=0
Local ox#,oy#
Local point#[2]
For point=EachIn points
x#=point[0]
y#=point[1]
If go
DrawLine ox,oy,x,y
EndIf
ox=x
oy=y
go=1
Next
End Function
Function renderpath(p:path,camx#,camy#,caman#)
SetColor 255,0,0
DrawLine camx,camy,camx+Cos(caman)*100,camy+Sin(caman)*100
go=0
Local point#[2]
Local ox#,oy#,opx#,olambda#
plines:TList=New TList
n=0
For point=EachIn p
x#=point[0]
y#=point[1]
dx#=Cos(caman)
dy#=Sin(caman)
nx#=Cos(caman+90)
ny#=Sin(caman+90)
mu#=(y-camy+(camx-x)*dy/dx)/(ny-nx*dy/dx)
lambda#=(x-camx-mu*nx)/dx
px#=10*mu/(lambda+200)
an#=ATan2(y-camy,x-camx)
'px#=10*andiff(an,caman)/(lambda+200)
SetColor 255,255,255
'DrawText Int(lambda),x,y
'DrawText Int(mu),x,y+15
'DrawLine camx,camy,camx+lambda*dx+mu*nx,camy+lambda*dy+mu*ny
n:+1
If go And (lambda>0 Or olambda>0)
pl:projline=projline.Create(opx,px,(lambda+olambda)/2)
plines.addlast pl
dx#=x-ox
dy#=y-oy
an#=ATan2(dy,dx)-90
dan#=an-caman
pl.shade#=Cos(dan)
pl.shade=50.0/((lambda+olambda)/2)
'If pl.shade>1 pl.shade=1
pl.r=Cos(n*10)*100+155
pl.g=Sin(n*20)*100+155
pl.b=Cos(n*10+90)*100+155
SetColor pl.shade*pl.r,pl.shade*pl.g,pl.shade*pl.b
SetLineWidth 3
DrawLine ox,oy,x,y
EndIf
ox#=x
oy#=y
opx=px
olambda=lambda
go=1
Next
Function plcmp(o1:Object,o2:Object)
pl1:projline=projline(o1)
pl2:projline=projline(o2)
If pl1.dist<pl2.dist
Return -1
Else
Return 1
EndIf
End Function
plines.sort(False,plcmp)
For pl:projline=EachIn plines
SetColor pl.shade*pl.r,pl.shade*pl.g,pl.shade*pl.b
x1#=400+200*pl.x1
x2#=400+200*pl.x2
If x1>x2
a#=x1
x1=x2
x2=a
EndIf
y=400-(1-pl.shade)*100
DrawRect x1,y,x2-x1,pl.shade*100
SetLineWidth 1
Next
End Function
Type projline
Field x1#,x2#
Field dist#
Field shade#
Field r,g,b
Function Create:projline(x1#,x2#,dist#)
pl:projline=New projline
pl.x1=x1
pl.x2=x2
pl.dist=dist
Return pl
End Function
End Type
Function andiff#(an1#,an2#)
dan#=(an1-an2) Mod 360
If dan>180 dan:-360
If dan<-180 dan:+360
Return dan
End Function
Function lineclosestpoint#[](ox#,oy#,x1#,y1#,x2#,y2#)
dx#=x2-x1
dy#=y2-y1
d#=Sqr(dx*dx+dy*dy)
dx:/d
dy:/d
an#=ATan2(dy,dx)
nx#=Cos(an+90)
ny#=Sin(an+90)
lambda#=(oy-y1+(x1-ox)*dy/dx)/(nx*dy/dx-ny)
If dx<>0
ix#=ox+lambda*nx
mu#=(ix-x1)/dx
Else
iy#=oy+lambda*ny
mu#=(iy-y1)/dy
EndIf
Local point#[2]
If mu<0
point=[x1,y1]
ElseIf mu>d
point=[x2,y2]
Else
x#=x1+mu*dx
y#=y1+mu*dy
point=[x,y]
EndIf
Return point
End Function
Function facingline(ox#,oy#,x1#,y1#,x2#,y2#)
If x1=x2 And y1=y2 Return 0
dx#=x2-x1
dy#=y2-y1
d#=Sqr(dx*dx+dy*dy)
dx:/d
dy:/d
an#=ATan2(dy,dx)
nx#=Cos(an+90)
ny#=Sin(an+90)
lambda#=(oy-y1+(x1-ox)*dy/dx)/(nx*dy/dx-ny)
If dx<>0
ix#=ox+lambda*nx
mu#=(ix-x1)/dx
Else
iy#=oy+lambda*ny
mu#=(iy-y1)/dy
EndIf
If mu<0 Or mu>d
Return 0
Else
Return 1
EndIf
End Function
Function dist#(x1#,y1#,x2#,y2#)
dx#=x2-x1
dy#=y2-y1
d#=Sqr(dx*dx+dy*dy)
Return d
End Function
Function intersect:TList(l1:TList,l2:TList)
ol:TList=New TList
For o:Object=EachIn l1
If l2.contains(o) ol.addlast o
Next
Return ol
End Function
Function union:TList(l1:TList,l2:TList)
ol:TList=l1.copy()
For o:Object=EachIn l2
If Not ol.contains(o) ol.addlast o
Next
Return ol
End Function
Function splicelist:TList(l1:TList,l2:TList,o:Object)
l:TList=New TList
For lo:Object=EachIn l1
l.addlast lo
If lo=o
For lo2:Object=EachIn l2
l.addlast lo2
Next
l.addlast lo
EndIf
Next
Return l
End Function
Graphics 800,800,0
SetBlend ALPHABLEND
p:path=New path
While Not (KeyHit(KEY_ENTER) And p.points.count()>=2)
If MouseHit(1) p.addpoint(MouseX(),MouseY())
If MouseHit(2) p=New path
DrawText "Draw a railway by clicking points",0,0
DrawText "don't make it overlap or anything",0,15
DrawText "I'm not that clever",0,30
p.draw
p.analyse
If (KeyHit(KEY_ESCAPE) Or AppTerminate())
End
EndIf
Flip