world_space.p8

pico-8 cartridge // http://www.pico-8.com
version 8
__lua__
-- [co]sine tables
cal = {}
sal = {}

function compute_tables()
 for theta=0,359 do
  local angle=theta/360
  local ca = cos(angle) 
  local sa = sin(angle)

  cal[theta] = {}
  sal[theta] = {}

  for x=-8,8 do
   local y = x
   cal[theta][x] = ca * y
   sal[theta][x] = sa * y
  end

 end
end

function tprint(str)
 local tcurrent = time()
 print(str..": "..tcurrent-tlast)
 tlast = tcurrent
end

function compute_planet_noise()
 tlast = time()
 sprites_wide = 4
 radius=(sprites_wide/2)*8
 local xmin=0
 local xmax=sprites_wide*8
 local xcenter=(xmax-xmin)/2 + xmin

 local ymin=4*8
 local ymax=(4+sprites_wide)*8
 local ycenter=(ymax-ymin)/2 + ymin

 local copies_x = 3
 local copies_y = 2

 -- using the algorithm from star control 2, noted in the GDC retro game post
 -- mortem - generate a bunch of lines and raise/lower the height map between
 -- those regions, then quantize and map the colors

 -- base height
 for x=xmin,xmax do
  for y=ymin,ymax do
   sset(x,y,7)
  end
 end
 cls()

 function rnd_point()
  -- return {rnd(sprites_wide*8-8)+xmin+4, rnd(sprites_wide*8-8)+ymin+4}
  local result={
   rnd(xmax-xmin)+xmin,
   rnd(ymax-ymin)+ymin
  }
  return result
 end

 local img = {}

 local cmin = 0
 local cmax = 50

 for x=xmin,xmax do
  img[x] = {}
  for y=ymin,ymax do
   img[x][y] = flr(cmax/2)
  end
 end
 tprint("setup")

 function rnd_line()
  local sp=rnd_point()
  local ep=rnd_point()

  local xd = ep[1] - sp[1]
  local yd = ep[2] - sp[2]
  local fac = sp[2]*xd-sp[1]*yd

  return {
   startp=sp,
   endp=ep,
   xd=xd,
   yd=yd,
   fac=fac,
   s_dist=function(t, x, y)
    return (x*t.yd - y*t.xd + t.fac)
   end
  }
 end

 -- generate lines and raise stuff where we are on opposite side of the lines
 -- lower where we're on the same side
 for i=0,cmax do
  local l1 = rnd_line()
  local l2 = rnd_line()

  for x=xmin,xmax do
   local ln=img[x]
   for y=ymin,ymax do
    if (l1:s_dist(x,y) < 0) != (l2:s_dist(x,y) < 0) then
     ln[y] = ln[y]+1
    else
     ln[y] = ln[y]-1
    end
   end
  end
 end
 tprint("noise")

 local hist = {}
 hist[1] = 0
 hist[2] = 0
 hist[3] = 0
 hist[4] = 0
 -- quantize
 for x=xmin,xmax do
  local ln=img[x]
  for y=ymin,ymax do
   local val = ln[y]
   -- local c=val
   local c=4
   if val < cmax/4 + 0.2*cmax then
    c=1
   elseif val < cmax/2 + 0.1*cmax then
    c=2
   elseif val < 3*cmax/4 - 0.05*cmax then
    c=3
   end
    
   hist[c] +=1 
   sset(x,y,c)
  end
 end
 for i=1,4 do
  print(i..": ".. hist[i])
 end
 tprint("quantize")

 -- rotation
 local ycenter = (radius+ymin)
 local r2 = radius*radius
 for y=ymin,ymax do
  local b = abs(y-ycenter)
  local a = sqrt(r2-b*b)
  local rotation_scale = 4*cos(atan2(a, b))

  for x=xmin,xmax do
   local c = sget(x,y)

   for off_y=0,copies_y do
    local new_y = y+off_y*4*8
    for off_x=0,copies_x do
     if off_x > 0 or off_y > 0 then
      local rotation_offset = (x+rotation_scale*((off_x-((copies_x+1)*(copies_y+1))/2)+(off_y)*(copies_x+1)))%(xmax)
      local new_x = rotation_offset+off_x*(4*8)
      sset(new_x,new_y,c)
     end
    end
   end
  end
 end
 tprint("rotation")

 -- add poles and make round
 for x=xmin,xmax do
  local xd=x-xcenter
  local xd2=xd*xd
  for y=ymin,ymax do
   local yd=y-ycenter
   local c=1
   -- crop out corners to make look round
   if xd2+yd*yd < 2*8*2*8 then
    -- poles
    if ymax-y < 2 or y-ymin < 2 then
     c=7
    end
   else
    c=0
   end
   for off_x=0,copies_x do
    local new_x = x+off_x*4*8
    for off_y=0,copies_y do
     if c == 0 or c==7 then 
      local new_y = y+off_y*4*8
      sset(new_x,new_y,c)
     end
    end
   end
  end
 end
 tprint("poles")

--  if true then
--   spr(64,0,0,16,16)
--   tprint("final")
--   stop()
--   return
--  end

end

function _init()
 stdinit()
 
 compute_tables()
 compute_planet_noise()

 add(
  g_objs,
   make_menu(
   {
    'go',
   },
   function (t, i, s)
    add (
     s,
     make_trans(
     function()
      game_start()
     end
     )
    )
   end
  )
 )
 g_st = gst_menu
end

gst_menu = 0
gst_playing = 1

function _update()
 stdupdate()
end

function _draw()
 stddraw()
end

-- coordinate systems
sp_world = 0
sp_local = 1
sp_screen_native = 2
sp_screen_center = 3

function am_playing()
 return g_st == gst_playing
end

function makev(xf, yf)
 return {x=xf, y=yf}
end

-- rotate a sprite 
function rotate_sprite(
 angle,tcolor,sspx,sspy
)
 local cala = cal[angle]
 local sala = sal[angle]
    for x=-7,6,1 do
        for y=-7,6,1 do
            -- 2d rotation about the origin
            xp = (- cala[x]+sala[y])
            yp = (  sala[x]+cala[y])
        
            -- if the pixel is over range,
            -- use the transparent color
            -- otherwise fetch the color from
            -- the sprite sheet
            local c = tcolor
            if abs(xp) < 8 and abs(yp) < 8 then
             c = sget(xp+sspx,yp+sspy)
            end
            
            -- set a color in the sprite
            -- sheet
            sset(x+sspx+16,y+sspy,c)
        end
    end
end

function make_pushable(x,y)
 return make_physobj(
  {
   x=x,
   y=y,
   name="pushable_["..x..","..y.."]",
   space=sp_world,
   vis_r=5,
   draw=function(t)
    circfill(0,0,5,6)
    circfill(0,0,2,2)
    circ(0,0,t.vis_r, 8)
    circ(0,0,t.radius, 9)
   end
  },
 100
 )
end

-- @{ built in diagnostic stuff
function make_player(pnum)
 return make_physobj(
  {
   x=0,
   y=0,
   pnum=pnum,
   name="player"..pnum,
   space=sp_world,
   c_objs={},
   vis_r=7,
   sprite=32,
   theta = 0,
   rendered_rot=nil,
   update=function(t)
    if not am_playing() then
     return
    end

    local m_x = 0
    local m_y = 0
    local thrust = false
    if btn(0, t.pnum) then
     t.theta -= 10
     if t.theta < 0 then
      t.theta += 360 
     end
    end 
    if btn(1, t.pnum) then
     t.theta += 10
     if t.theta >= 360 then
      t.theta -= 360
     end
    end
    if btn(2, t.pnum) then
     thrust = true
    end
    if btn(3, t.pnum) then
     t.velocity = vecscale(t.velocity, 0.8)
    end
    if thrust then
     m_x = cal[t.theta][-1]
     m_y = sal[t.theta][1]
    end
    add_force(t, makev(m_x, m_y))
    updateobjs(t.c_objs)
   end,
   draw=function(t)
    -- for a double size sprite

    --spr(3, -7, -7,2,2)
    rect(-3,-3, 3,3, 8)
    local str = "world: " .. t.x .. ", " .. t.y
    print(str, -(#str)*2, 12, 8)
    
    str="theta: " .. t.theta
    print(str, -(#str)*2, 18, 8)

    local col=3
    if (g_cam:is_visible(t)) then
     col=11
    end
    circ(0,0,t.vis_r,col)

    local col_list = {}
    for _, o in pairs(g_objs) do
     if t ~= o and o.is_phys and not collided and collides_circles(t, o) then
      col=col+1
      add(col_list, o)
     end
    end

    if #col_list > 0 then
     local col_str = "colliding:"
     for _, o in pairs(col_list) do
      col_str = col_str .. " " .. o.name
     end
     print(col_str, -(#col_str)*2, 22, 8)
    end

    pusht({{3, true},{0,false}})
    if t.rendered_rot != t.theta then
     rotate_sprite(t.theta,3,23,23)
     t.rendered_rot = t.theta
    end
    spr(t.sprite+4, -7, -7,2,2)
    popt()
    drawobjs(t.c_objs)
    
    circ(0,0,t.radius,col)
   end
  },
  5
 )
end

g_friction=0.1
function update_phys(o)
 -- in case we want to play
 -- with time, even though pico
 -- gives us a constant clock
 local dt = 1

 
 o.x, o.velocity.x=compute_force_1d(
  o.x,
  o.force.x,
  o.mass,
  o.velocity.x,
  dt
 )
 o.y, o.velocity.y=compute_force_1d(
  o.y,
  o.force.y,
  o.mass,
  o.velocity.y,
  dt
 )
 
 -- zero out the force
 o.force = makev(0,0)
  
 -- drag
 o.force.x -= g_friction*o.velocity.x
 o.force.y -= g_friction*o.velocity.y
end

function vecstr(v)
 return ""..v.x..", "..v.y
end

function vecdot(a, b)
 return a.x * b.x + a.y * b.y
end

function vecadd(a, b)
 return {x=a.x+b.x, y=a.y+b.y}
end

function vecsub(a, b)
 return {x=a.x-b.x, y=a.y-b.y}
end

function vecmult(a, b)
 return {x=a.x*b.x, y=a.y*b.y}
end

function vecscale(v, m)
 return {x=v.x*m, y=v.y*m}
end

function vecmagsq(v)
 return v.x*v.x+v.y*v.y
end

function vecmag(v, sf)
 if sf then
  v = vecscale(v, sf)
 end
 local result=sqrt(vecmagsq(v))
 if sf then
  result=result/sf
 end
 return result
end

function vecrot(v, a)
 local s = sin(a/360)
 local c = cos(a/360)
 return {
   x=v.x * c - v.y * s,
   y=v.x * s + v.y * c,
 }
end

function vecdistsq(a, b, sf)
 if sf then
  a = vecscale(a, sf)
  b = vecscale(b, sf)
 end
 
 local distsq = (b.x-a.x)^2 + (b.y-a.y)^2
 
 if sf then
  distsq = distsq/sf
 end
 
 return distsq
end

null_v = makev(0,0)

function vecnorm(v) 
 local l =
   sqrt(vecdistsq(null_v,v)) 
 return {
  x=v.x/l,
  y=v.y/l,
 }
end


function update_collision(o, o_num)
 -- (checking o, pos is new pos
 -- check boundaries first
 local pos = makev(o.x, o.y)

--  pos.x, o.velocity.x = collide_walls_1d(
--   g_edges[1],pos.x,o.velocity.x,o.radius)
--  pos.y, o.velocity.y = collide_walls_1d(
--   g_edges[2],pos.y,o.velocity.y,o.radius)
 
 for i=o_num,#g_objs do
  local t = g_objs[i]
  if t.is_phys and t ~= o then
   if collides_circles(t, o) then
    if not t.is_static then

     -- current displacement
     local t_pos = makev(t.x, t.y)
     
     -- push the objects back
     local r = o.radius + t.radius
     local v = vecsub(pos,t_pos)
     local v_n = vecnorm(v)
     local new_pos  = vecadd(vecscale(v_n, r),t_pos)
    
     -- result
     o.x = new_pos.x
     o.y = new_pos.y
   
     -- a.v = (a.u * (a.m - b.m) + (2 * b.m * b.u)) / (a.m + b.m)
     -- b.v = (b.u * (b.m - a.m) + (2 * a.m * a.u)) / (a.m + b.m)
     local o_v = o.velocity
     local t_v = t.velocity
     local o_m = o.mass
     local t_m = t.mass
     o.velocity = vecscale(
      vecadd(vecscale(o_v, (o_m-t_m)), vecscale(t_v,2*t_m)),
      1/(o_m+t_m)
     )
     t.velocity = vecscale(vecadd(vecscale(t_v, (t_m-o_m)),(vecscale(o_v,2*o_m))),(1/(o_m+t_m)))
    end
   end
  end
 end
end

function collides_circles(o1, o2)
 local x_d = abs(o1.x - o2.x)
 local y_d = abs(o1.y - o2.y)
 local r_2 = o1.radius + o2.radius

 -- cheat to avoid huge squares
 if x_d > r_2 or y_d > r_2 then
  return false
 end

 return ((x_d*x_d)+(y_d*y_d)) < r_2 * r_2
end

-- creates a physics object out
-- of the parent object with a
-- given mass
function make_physobj(p,mass)
 phys = {
  p=p,
  mass=mass,
  force=makev(0,0),
  velocity=makev(0,0),
  radius=p.vis_r or 5,
  is_phys=true,
  is_static=false,
 }
 for k,v in pairs(phys) do
   p[k] = v
 end
 return p
end


g_tstack={}

-- takes a list of tuples color, tval
function pusht(tlist)
 -- todo make push/pop work better
 add(g_tstack, tlist)
 for i, ttuple in pairs(tlist) do
  palt(ttuple[1], ttuple[2])
 end
end

function popt(tlist)
 local len = #g_tstack
 local last = g_tstack[len]
 for i, ttuple in pairs(last) do
  palt(ttuple[1], not ttuple[2])
 end
 g_tstack[len] = nil
end

g_spacing = 64
function make_infinite_grid()
 return {
  x=0,
  y=0,
  space=sp_screen_native,
  draw=function(t)
   local g_o_x = 128 - g_cam.x % 128
   local g_o_y = 128 - g_cam.y % 128

   local smin = vecsub(makev(g_cam.x, g_cam.y), makev(64, 64))

   for x=0,3 do
    for y=0,3 do
     -- screen coordinates
     local xc = (x-1.5)*g_spacing + g_o_x
     local yc = (y-1.5)*g_spacing + g_o_y

     rect(xc-1, yc-1,xc+1, yc+1, 5)
     circ(xc, yc, 7, 5)

     -- label
     local str = "w: " .. xc + smin.x .. ", ".. yc + smin.y
     print(str, xc-#str*2, yc+9, 5)
    end
   end
  end
 }
end

-- assumed to be in world space
function make_camera()
 return {
  x=0,
  y=0,
  is_visible=function(t, o)
   -- uses a circle based visibility check
   if not o.vis_r or 
    (
     (
      t.x - 64 - o.vis_r < o.x 
      and t.x + 64 + o.vis_r > o.x
     ) 
     and 
     (
      t.y - 64 - o.vis_r < o.y 
      and t.y + 64 + o.vis_r > o.y
     )
    ) 
   then
    return true
   end

   return false
  end,
  update=function(t)
   t.x=g_p1.x
   t.y=g_p1.y
  end,
  draw=function(t)
  end
 }
end
-- @}

function make_debugmsg()
 return {
  x=0,
  y=0,
  space=sp_screen_native,
  draw=function(t)
   color(14)
   print("",0,0)
   print("cpu: ".. stat(1))
   print("mem: ".. stat(2))
   local vis="false"
   if g_p2 and g_cam:is_visible(g_p2) then
    vis = "true"
   end
   if g_p2 then
    print("p2 vis: ".. vis)
    print(g_cam.x-64-g_p2.vis_r .. ", " ..g_cam.y-64-g_p2.vis_r)
    print("vel: ".. vecmag(g_p1.velocity))
    print("p_vel: ".. vecmag(g_pushable.velocity))
   end
  end
 }
end

function make_planet(x,y)
 return {
  x=x,
  y=y,
  name="planet_planetulon",
  space=sp_world,
  frame=0,
  update=function(t)
   t.frame +=1 
  end,
  draw=function(t)
   local f = flr((t.frame/16)) % 12
   local fx = f % sprites_wide
   -- local fx = flr(f / 3)
   local fy = flr(f / sprites_wide)
   -- local fy = f % 4

   -- for i=1,9 do
   --  pal(i,12)
   -- end
   -- for i=10,12 do
   --  pal(i, 3)
   -- end
   -- for i=13,15 do
   --  pal(i, 4)
   -- end
   -- pal(7,7)
   pal(1,12)
   pal(2,4)
   pal(3,3)
   pal(4,7)
   spr(64+(fx+fy*sprites_wide*sprites_wide)*sprites_wide,-radius,-radius,sprites_wide,sprites_wide)
   for i=0,15 do
    pal(i,i)
   end
   print(fx..", "..fy, -10, 20, 7)

   -- for i=1,14 do
   --  palt(i,true)
   -- end
   -- pal(15,6)
   -- spr(64+4*(flr((t.frame+8)/4)%4),-2*8,-2*8,4,4)
   -- pal(15,15)
   -- for i=1,14 do
   --  palt(i,false)
   -- end
  end
 }
end

function game_start()
 g_objs = {
 }

 add(g_objs, make_infinite_grid())

 g_cam= make_camera()

 add(g_objs, g_cam)

 add(g_objs, make_planet(32,32))

 g_p1 = make_player(0)
 add(g_objs, g_p1)

 -- add in pushable things
 for i=0,0 do
  local collides = true
  local pushable = make_pushable(10, 10)
  while collides==true do 
   pushable.x = rnd(128) - 64
   pushable.y = rnd(128) - 64
   collides = false
   for _, o in pairs(g_objs) do
    if o.is_phys and not collides and collides_circles(o, pushable) then
     collides = true
    end
   end
  end
  add(g_objs, pushable)
  g_pushable = pushable
 end

 add(g_objs, make_debugmsg())

 g_st = gst_playing

--  g_brd = make_board()
--  add(g_objs, g_brd)
--  g_tgt = make_tgt(0,0)
--  add(g_objs,g_tgt)
end

------------------------------

function stdinit()
 g_tick=0    --time
 g_ct=0      --controllers
 g_ctl=0     --last controllers
 g_cs = {}   --camera stack 
 g_objs = {} --objects
end

function stdupdate()
 g_tick = max(0,g_tick+1)
 -- current/last controller
 g_ctl = g_ct
 g_ct = btn()
 updateobjs(g_objs)
end

function add_force(o, f)
 o.force.x += f.x
 o.force.y += f.y
end

function compute_force_1d(pos, f, m, v, dt)
  local a=0
  if f ~= 0 then
   a = f/m
  end
  
  -- update position half way
  pos += 0.5 * dt * v
  
  -- update velocity (drag)
  v += dt * a
  
  -- update position other half
  pos += 0.5 * dt * v
  
  return pos, v
end

function foreachp(lst, fnc)
 for i, o in pairs(lst) do
  if o.is_phys then
   fnc(o, i)
  end
 end
end

function updateobjs(objs)
 foreach(objs, function(t)
  if t.update then
   t:update(objs)
  end
 end)

 -- update physics code
 foreachp(objs, update_phys)
 foreachp(objs, update_collision)
end

function stddraw()
 cls()
 drawobjs(g_objs)
end

function drawobjs(objs)
 foreach(objs, function(t)
  if t.draw then
   if g_cam and not g_cam:is_visible(t) then
    return
   end
   local cam_stack = 0

   -- i think the idea here is that if you're only drawing local,
   -- then you only need to push -t.x, -t.y
   -- if you're drawing camera space, then the camera will manage the screen
   -- center offset
   -- if you're drawing screen center 
   if t.space == sp_screen_center then
    pushc(-64, -64)
    cam_stack += 1
   elseif t.space == sp_world and g_cam  then
    pushc(g_cam.x - 64, g_cam.y - 64)
    pushc(-t.x, -t.y)
    cam_stack += 2
   elseif not t.space or t.space == sp_local then
    pushc(-t.x, -t.y)
    cam_stack += 1
   elseif t.space == sp_screen_native then
   end

   t:draw(objs)

   for i=cam_stack,0,-1 do
    popc()
   end
  end
 end)
end

--returns state,changed
function btns(i,p)
 i=shl(1,i)
 if p==1 then
  i=shl(i,8)
 end
 local c,cng =
   band(i,g_ct),
   band(i,g_ctl)
 return c>0,c~=cng
end

--returns new press only
function btnn(i,p)
 if p==-1 then --either
  return btnn(i,0) or btnn(i,1)
 end
 local pr,chg=btns(i,p)
 return pr and chg
end

function getspraddr(n)
 return flr(n/16)*512+(n%16)*4
end

function sprcpy(dst,src,w,h)
 w = w or 1
 h = h or 1
 for i=0,h*8-1 do
  memcpy(getspraddr(dst)+64*i,
     getspraddr(src)+64*i,4*w)
 end
end

function pushc(x, y)
 local l=g_cs[#g_cs] or {0,0}
 local n={l[1]+x,l[2]+y}
 add(g_cs, n)
 camera(n[1], n[2])
end

function popc()
 local len = #g_cs
 g_cs[len] = nil
 len -= 1
 if len > 0 then
  local xy=g_cs[len]
  camera(xy[1],xy[2])
 else
  camera()
 end
end

function make_menu(
 lbs, --menu lables
 fnc, --chosen callback
 x,y, --pos
 omb, --omit backdrop
 p,   --player
 cfnc --cancel callback
)
 local m={
  --lbs=lbs,
  --f=fnc,
  --fc=cfnc,
  i=0, --item
  s=g_tick,
  e=5,
  x=x or 64,
  y=y or 80,
  h=10*#lbs+4,
  --omb=omb,
  tw=0,--text width
  p=p or -1,
  draw=function(t)
   local e=elapsed(t.s)
   local w=t.tw*4+10
   local x=min(1,e/t.e)*(w+9)/2
   if not omb then
    rectfill(-x,0,x,t.h,0)
    rect(-x,0,x,t.h,1)
   end
   if e<t.e then
    return
   end
   x=w/2+1
   for i,l in pairs(lbs) do
    if not t.off or i==t.i+1 then
     local y=4+(i-1)*10
     print(l,-x+9,y+1,0)
     print(l,-x+9,y,7)
    end
   end
   spr(0,-x,2+10*t.i)
  end,
  update=function(t,s)
   if (t.off) return
   if elapsed(t.s)<(t.e*2) then
    return
   end

   if btnn(5,t.p) then
    if fnc then
     fnc(t,t.i,s)
     --sfx(2)
    end
   end

   --cancel
   if btnn(4,t.p) then
    if cfnc then
     cfnc(t,s)
     --sfx(2)
    end
   end

   if btnn(2,t.p) and
     t.i>0 then
    t.i-=1
    sfx(1)
   end
   if btnn(3,t.p) and
     t.i<(#lbs-1) then
    t.i+=1
    sfx(1)
   end
  end
 }
 for l in all(lbs) do
  m.tw=max(m.tw,#l)
 end
 return m
end

function elapsed(t)
 if g_tick>=t then
  return g_tick - t
 end
 return 32767-t+g_tick
end

function trans(s)
 if (s<1) return
 s=2^s
 local b,m,o =
   0x6000,
   15,
   s/2-1+(32*s)

 for y=0,128-s,s do
  for x=0,128-s,s do
   local a=b+x/2
   local c=band(peek(a+o),m)
   c=bor(c,shl(c,4))
   for i=1,s do
    memset(a,c,s/2)
    a+=64
   end
  end
  b+=s*64
 end
end

function make_trans(f,d,i)
 return {
  d=d,
  e=g_tick,
  f=f,
  i=i,
  x=0,
  y=0,
  update=function(t,s)
   if elapsed(t.e)>10 then
    if (t.f) t:f(s)
    del(s,t)
    if not t.i then
     add(s,
       make_trans(nil,nil,1))
    end
   end
  end,
  draw=function(t)
   local x=flr(elapsed(t.e)/2)
   if t.i then
    x=5-x
   end
   trans(x)
  end
 }
end

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__music__
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