From 513cbd3dba414d0313bb3119942642a918192707 Mon Sep 17 00:00:00 2001 From: Humza Shahid Date: Sun, 6 Jul 2025 00:32:28 +0100 Subject: [PATCH] code a quad tree decomposition algorithm --- dotscape | Bin 1051680 -> 0 bytes temp-squares/quad-tree.sml | 237 +++++++++++++++++++++++++++++++++++++ 2 files changed, 237 insertions(+) delete mode 100755 dotscape create mode 100644 temp-squares/quad-tree.sml diff --git a/dotscape b/dotscape deleted file mode 100755 index da46f18f81c7debe5d244c8d5cb03a64090dac1f..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 1051680 zcmb@P3w%`7wea_xnS`f^h=4qjNdhQn6cq$i$jJnOs_j*rw$>^+lMn=X6GVKGNqCg1 z*GrVPR=sryN*!8nZL5`7B15d!*4k^Z)!w$Z4#8JTuLZ4|SS8pr<|7_bqVuQuYb}v z`JLfbH^VT21U4m6bL{^!spOTPE8kkTNS^n;IoO8xzIjELboqE2R9@d8Uc9nP=Fao!icsD^*J{4QDa&cX7P z?;KqJk`kKdyS`VB^osxp z|GjJ3-tYYFcYk>BorAv`ap|lx$K5^ltRKH~(5t(9nn#C+bw>hkhbg_`e+1Kd!{_W^$hZ9_amQrPWR!zOb)$` zud{vVlzF$e{I~ejbD9sGzxI(=j!*u8PruIf!B6s`bA(U+ulUe&pHKdTPyUB}+O74e 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b/temp-squares/quad-tree.sml new file mode 100644 index 0000000..148eec4 --- /dev/null +++ b/temp-squares/quad-tree.sml @@ -0,0 +1,237 @@ +structure BinTree = +struct + datatype 'a bintree = + NODE of + { x: int + , y: int + , ex: int + , ey: int + , data: 'a + , left: 'a bintree + , right: 'a bintree + } + | LEAF + + val empty = LEAF + + fun insert (newItem as {x, y, ex, ey, data}, tree) = + case tree of + LEAF => + NODE + { x = x + , y = y + , ex = ex + , ey = ey + , data = data + , left = LEAF + , right = LEAF + } + | NODE {x = ox, y = oy, ex = oex, ey = oey, data = oldData, left, right} => + let + val dir = + if x < ox then LESS + else if x > ox then GREATER + else if y < oy then LESS + else if y > oy then GREATER + else if ex < oex then LESS + else if ex > oex then GREATER + else if ey < oey then LESS + else if ey > oey then GREATER + else EQUAL + in + case dir of + LESS => + NODE + { left = insert (newItem, left) + , right = right + , x = ox + , y = oy + , ex = oex + , ey = oey + , data = oldData + } + | GREATER => + NODE + { right = insert (newItem, right) + , left = left + , x = ox + , y = oy + , ex = oex + , ey = oey + , data = oldData + } + | EQUAL => + NODE + { left = left + , right = right + , x = x + , y = y + , ex = ex + , ey = ey + , data = data + } + end + + fun toList (tree, acc) = + case tree of + NODE {x, y, ex, ey, data, left, right} => + let + val acc = toList (right, acc) + val acc = {x = x, y = y, ex = ex, ey = ey, data = data} :: acc + in + toList (left, acc) + end + | LEAF => acc +end + +structure CollisionTree = +struct + (* functions to check individual collisions *) + fun isColliding (ix, iy, ifx, ify, cx, cy, cfx, cfy) = + ix < cfx andalso ifx > cx andalso iy < cfy andalso ify > cy + + fun isCollidingPlus (ix, iy, iw, ih, cx, cy, cw, ch) = + let + val ifx = ix + iw + val ify = iy + ih + val cfx = cx + cw + val cfy = cy + ch + in + isColliding (ix, iy, ifx, ify, cx, cy, cfx, cfy) + end + + fun isCollidingItem (iX, iY, iW, iH, checkWith) = + let val {x = cX, y = cY, w = cW, h = cH} = checkWith + in isCollidingPlus (iX, iY, iW, iH, cX, cY, cW, cH) + end + + fun visitTopLeft (iX, iY, qX, qY, size) = + let + val half = size div 2 + + val qmx = qX + half + val qmy = qY + half + in + iX >= qX andalso iX <= qmx andalso iY >= qY andalso iY <= qmy + end + + fun visitTopRight (iX, iY, qX, qY, size) = + let + val half = size div 2 + + val qmx = qX + half + val qmy = qY + half - 1 + + val qfx = qX + size + in + iX >= qmx andalso iX <= qfx andalso iY >= qY andalso iY <= qmy + end + + fun visitBottomLeft (iX, iY, qX, qY, size) = + let + val half = size div 2 + + val qmx = qX + half - 1 + val qmy = qY + half + + val qfy = qY + size + in + iX >= qX andalso iX <= qmx andalso iY >= qmy andalso iY <= qfy + end + + fun visitBottomRight (iX, iY, qX, qY, size) = + let + val half = size div 2 + + val qmx = qX + half + val qmy = qY + half + + val qfx = qX + size + val qfy = qY + size + in + iX >= qmx andalso iX <= qfx andalso iY >= qmy andalso iY <= qfy + end + + (* types for tree *) + datatype 'a tree = + NODE of {tl: 'a tree, tr: 'a tree, bl: 'a tree, br: 'a tree} + | LEAF of {x: int, y: int, ex: int, ey: int, data: 'a} + + type 'a t = {tree: 'a tree, size: int} + + local + fun loopYAxis (x, y, eX, eY, yAxis, col) = + if y > eY then + true + else + let + val newCol = Vector.sub (yAxis, y) + in + if col = newCol then loopYAxis (x, y + 1, eX, eY, yAxis, col) + else false + end + + fun loopColour (x, y, eX, eY, grid, col) = + if x > eX then + true + else + let + val yAxis = Vector.sub (grid, x) + in + if loopYAxis (x, y, eX, eY, yAxis, col) then + loopColour (x + 1, y, eX, eY, grid, col) + else + false + end + in + fun quadHasSameColour (startX, startY, endX, endY, grid) = + let + val yAxis = Vector.sub (grid, startX) + val col = Vector.sub (yAxis, startY) + in + loopColour (startX, startY, endX, endY, grid, col) + end + end + + (* tree creation/insertion/query functions *) + fun build (x, y, size, grid) = + if quadHasSameColour (x, y, x + size, y + size, grid) then + let + val yAxis = Vector.sub (grid, x) + val data = Vector.sub (yAxis, y) + in + LEAF {x = x, y = y, ex = x + size, ey = y + size, data = data} + end + else + let + val halfSize = size div 2 + val tl = build (x, y, halfSize, grid) + val tr = build (x + halfSize, y, halfSize, grid) + val bl = build (x, y + halfSize, halfSize, grid) + val br = build (x + halfSize, y + halfSize, halfSize, grid) + in + NODE {tl = tl, bl = bl, tr = tr, br = br} + end + + fun foldWithDuplicates (f, tree, acc) = + case tree of + LEAF item => f (item, acc) + | NODE {tl, tr, bl, br} => + let + val acc = foldWithDuplicates (f, tl, acc) + val acc = foldWithDuplicates (f, tr, acc) + val acc = foldWithDuplicates (f, bl, acc) + in + foldWithDuplicates (f, br, acc) + end + + fun insertItemIntoTree (item, acc) = + BinTree.insert (item, acc) + + fun toList qtree = + let + val tree = foldWithDuplicates (insertItemIntoTree, qtree, BinTree.empty) + in + BinTree.toList (tree, []) + end +end