From 12cfe7a04ed95a04a31b6f00d28c9f14518a401e Mon Sep 17 00:00:00 2001 From: Humza Shahid Date: Tue, 8 Jul 2025 03:07:24 +0100 Subject: [PATCH] rewrite merge functions which query grid instead of quad tree (only partially) --- dotscape | Bin 978656 -> 980264 bytes fcore/quad-tree.sml | 401 ++++++++++++-------------------------------- 2 files changed, 110 insertions(+), 291 deletions(-) diff --git a/dotscape b/dotscape index 22c0ee3feb94bc88533aec40e5c5e6cd3dfe1f8c..a40e2fcd5c5dff5e85642f52c2bed23ba150ab6b 100755 GIT binary patch literal 980264 zcmc${3w%`7wfMi!nIwdV6nQ8GOePaR0)iAl@tKo>TCKL%(y7<_%9$Awp*$skh)9M3 z(Sp}Ylv;0X>m;aksO_~?Thc-qLhWs9Z+`?^YhQK8EeNsGOAZen?mn=X22 zm;?K%a(mX#ojrNuuUE|L;j9ul!x}>gt8^{L*iRI`B)sxvEz>VWI;nKlRIfigH3{ zp?@R1j0?Q>^6_Qn*=|NZ_2nS#j^>}p@nfI-jQZ2(eqX%dg63Br$z1u)({F$A{8eAS zZj$7YcBG8tkw3{l$azxg+@*_S=Pq41ed*%mYt~JVMpwlboj-d)( zuN|&k{@UTS|NQ0yAG_qQsVn*S@BjAN;R!sg5{MzB4o$=92r<`@~glSK|cG$1GZ#tX~kL-&CPQa9b@GUTH zAbe?_{MW*uf$|T}lV8T+K=~)KT=%p1kf;8a^6=r?dGfE#Q~# 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(clickPoints, idx) end - fun folder - ( windowWidth - , windowHeight - , canvasWidth - , canvasHeight - , xClickPoints - , yClickPoints - ) ({x, ex, y, ey, data}, acc) = - let - val ex = if ex = x then x + 1 else ex - val ey = if ey = y then y + 1 else ey + fun folder + ( windowWidth + , windowHeight + , canvasWidth + , canvasHeight + , xClickPoints + , yClickPoints + ) ({x, ex, y, ey, data}, acc) = + let + val ex = if ex = x then x + 1 else ex + val ey = if ey = y then y + 1 else ey - val x = getClickPoint (xClickPoints, x) - val y = getClickPoint (yClickPoints, y) - val ex = getClickPoint (xClickPoints, ex) - val ey = getClickPoint (yClickPoints, ey) + val x = getClickPoint (xClickPoints, x) + val y = getClickPoint (yClickPoints, y) + val ex = getClickPoint (xClickPoints, ex) + val ey = getClickPoint (yClickPoints, ey) - val startX = Ndc.fromPixelX (x, windowWidth, windowHeight) - val endX = Ndc.fromPixelX (ex, windowWidth, windowHeight) - val startY = Ndc.fromPixelY (y, windowWidth, windowHeight) - val endY = Ndc.fromPixelY (ey, windowWidth, windowHeight) - in - Ndc.ltrbToVertexRgb (startX, startY, endX, endY, 0.0, 0.0, 0.0) :: acc - end - in - fun toTriangles - ( windowWidth - , windowHeight - , squares - , size - , canvasWidth - , canvasHeight - , xClickPoints - , yClickPoints - ) = - let - val bintree = build (0, 0, size, squares, BinTree.empty) + val startX = Ndc.fromPixelX (x, windowWidth, windowHeight) + val endX = Ndc.fromPixelX (ex, windowWidth, windowHeight) + val startY = Ndc.fromPixelY (y, windowWidth, windowHeight) + val endY = Ndc.fromPixelY (ey, windowWidth, windowHeight) + in + Ndc.ltrbToVertexRgb (startX, startY, endX, endY, 0.0, 0.0, 0.0) :: acc + end - val f = folder - ( windowWidth - , windowHeight - , canvasWidth - , canvasHeight - , xClickPoints - , yClickPoints - ) - val vec = BinTree.foldr (f, bintree, []) - in - Vector.concat vec - end - end + fun toTriangles + ( windowWidth + , windowHeight + , squares + , size + , canvasWidth + , canvasHeight + , xClickPoints + , yClickPoints + ) = + let + val bintree = build (0, 0, size, squares, BinTree.empty) + + val f = folder + ( windowWidth + , windowHeight + , canvasWidth + , canvasHeight + , xClickPoints + , yClickPoints + ) + val vec = BinTree.foldr (f, bintree, []) + in + Vector.concat vec + end (* building and querying quad tree, plus compression *) datatype quad_tree = @@ -251,6 +251,22 @@ struct | NODE of {tl: quad_tree, tr: quad_tree, bl: quad_tree, br: quad_tree} | EMPTY + fun foldWithDuplicates (f, tree, acc) = + case tree of + EMPTY => acc + | 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 toBintree qtree = + foldWithDuplicates (BinTree.insert, qtree, BinTree.empty) + fun buildTree (x, y, size, grid) = if x >= Vector.length grid orelse y >= Vector.length grid then EMPTY @@ -297,255 +313,58 @@ struct NODE {tl = tl, tr = tr, bl = bl, br = br} end) - fun getItemWithDataAt (x, y, qx, qy, size, tree, data) = - case tree of - EMPTY => NONE - | LEAF (item as {x = ix, y = iy, ex = iex, ey = iey, data = oldData}) => - if (x >= ix andalso x <= iex) andalso (y >= iy andalso y <= iey) then - (* search coordinates are in item *) - if data = oldData then (* data matches *) SOME item else NONE + local + fun loop (x, y, ex, ey, grid) = + if x > 0 then + if quadHasSameColour (x, y, ex, ey, grid) then + loop (x - 1, y, x, ey, grid) + else + ex else - NONE - | NODE {tl, tr, bl, br} => - if size mod 2 = 0 orelse size = 1 then - let - val halfSize = size div 2 - val qmx = x + halfSize - val qfx = x + size - val qmy = y + halfSize - val qfy = y + size - in - if y >= qy andalso y <= qmy then - (* top *) - if x >= qx andalso x <= qmx then - (* top left *) - getItemWithDataAt (x, y, qx, qy, halfSize, tl, data) - else - (* top right *) - getItemWithDataAt (x, y, qx + halfSize, qy, halfSize, tr, data) - else (* bottom *) if x >= qx andalso x <= qmx then - (* bottom left *) - getItemWithDataAt (x, y, qx, qy + halfSize, halfSize, bl, data) - else - (* bottom right *) - getItemWithDataAt - (x, y, qx + halfSize, qy + halfSize, halfSize, br, data) - end + 0 + in + fun getLeftmostX ({x, y, ex, ey, data}, grid) = + loop (x - 1, y, x, ey, grid) + end + + local + fun loop (x, y, ex, ey, grid) = + if x < Vector.length grid andalso ex < Vector.length grid then + if quadHasSameColour (x, y, ex, ey, grid) then + loop (ex, y, ex + 1, ey, grid) + else + x else - let - val halfSizeBefore = size div 2 - val halfSizeAfter = (size + 1) div 2 - val qmx = x + halfSizeBefore - val qmy = y + halfSizeBefore - in - if y >= qy andalso y <= qmy then - (* top *) - if x >= qx andalso x <= qmx then - (* top left *) - getItemWithDataAt (x, y, qx, qy, halfSizeAfter, tl, data) - else - (* top right *) - getItemWithDataAt (x, y, qmx, qy, halfSizeAfter, tr, data) - else (* bottom *) if x >= qx andalso x <= qmx then - (* bottom left *) - getItemWithDataAt (x, y, qx, qmy, halfSizeAfter, bl, data) - else - (* bottom right *) - getItemWithDataAt (x, y, qmx, qmy, halfSizeAfter, br, data) - end - - fun getLeftmostX (rootSize, rootTree, prevItem) = - let - val {x = prevX, y = prevY, ex = prevEx, ey = prevEy, data = prevData} = - prevItem + Vector.length grid - 1 in - case - getItemWithDataAt (prevX - 1, prevY, 0, 0, rootSize, rootTree, prevData) - of - SOME (newItem as {y = newY, ey = newEy, data = newData, ...}) => - if prevY = newY andalso newEy = prevEy andalso prevData = newData then - (* Y side has same edge, so is mergeable, and data is also same *) - getLeftmostX (rootSize, rootTree, newItem) + fun getRightmostX ({x, y, ex, ey, data}, grid) = + loop (ex, y, ex + 1, ey, grid) + end + + local + fun loop (x, y, ex, ey, grid) = + if y < 0 then 0 + else + if quadHasSameColour (x, y, ex, ey, grid) then + loop (x, y - 1, ex, y, grid) else - prevX - | NONE => prevX + ey + in + fun getTopmostY ({x, y, ex, ey, data}, grid) = + loop (x, y - 1, ex, y, grid) end - fun getRightmostX (rootSize, rootTree, prevItem) = - let - val {x = prevX, y = prevY, ex = prevEx, ey = prevEy, data = prevData} = - prevItem - in - case - getItemWithDataAt - (prevEx + 1, prevY, 0, 0, rootSize, rootTree, prevData) - of - SOME (newItem as {y = newY, ey = newEy, data = newData, ...}) => - if prevY = newY andalso newEy = prevEy andalso prevData = newData then - getRightmostX (rootSize, rootTree, newItem) + local + fun loop (x, y, ex, ey, grid) = + if y < Vector.length grid andalso ey < Vector.length grid then + if quadHasSameColour (x, y, ex, ey, grid) then + loop (x, ey, ex, ey + 1, grid) else - prevEx - | NONE => prevEx - end - - fun getTopmostY (rootSize, rootTree, prevItem) = - let - val {x = prevX, y = prevY, ex = prevEx, ey = prevEy, data = prevData} = - prevItem + y + else + Vector.length grid - 1 in - case - getItemWithDataAt (prevX, prevY - 1, 0, 0, rootSize, rootTree, prevData) - of - SOME (newItem as {x = newX, ex = newEx, data = newData, ...}) => - if prevX = newX andalso prevEx = newEx andalso prevData = newData then - (* X side has same edge and data is also same, so mergeable *) - getTopmostY (rootSize, rootTree, newItem) - else - prevY - | NONE => prevY + fun getBottomY ({x, y, ex, ey, data}, grid) = + loop (x, ey, ex, ey + 1, grid) end - - fun getBottomY (rootSize, rootTree, prevItem) = - let - val {x = prevX, y = prevY, ex = prevEx, ey = prevEy, data = prevData} = - prevItem - in - case - getItemWithDataAt - (prevX, prevEy + 1, 0, 0, rootSize, rootTree, prevData) - of - SOME (newItem as {x = newX, ex = newEx, data = newData, ...}) => - if prevX = newX andalso prevEx = newEx andalso prevData = newData then - (* X side has same edge and data is also same, so mergeable *) - getBottomY (rootSize, rootTree, newItem) - else - prevEy - | NONE => prevEy - end - - datatype merge_dir = - HORIZONTAL of {left: int, right: int} - | VERTICAL of {up: int, down: int} - | NO_MERGE - - fun getHorizontal (ox, oex, leftX, rightX) = - let - val left = if leftX < ox then ox - 1 else ox - val right = if rightX > oex then oex + 1 else oex - in - HORIZONTAL {left = left, right = right} - end - - fun getVertical (oy, oey, upY, bottomY) = - let - val up = if upY < oy then oy - 1 else oy - val down = if bottomY > oey then oey + 1 else oey - in - VERTICAL {up = up, down = down} - end - - fun getMergeDir (rootSize, rootTree, item) = - let - val {x = ox, y = oy, ex = oex, ey = oey, data} = item - - val leftX = getLeftmostX (rootSize, rootTree, item) - val rightX = getRightmostX (rootSize, rootTree, item) - val upY = getTopmostY (rootSize, rootTree, item) - val bottomY = getBottomY (rootSize, rootTree, item) - - val xChanged = leftX <> ox orelse rightX <> oex - val yChanged = upY <> oy orelse bottomY <> oey - in - if xChanged andalso yChanged then - let - val diffX = abs (rightX - leftX) - val diffY = abs (bottomY - upY) - in - if diffX > diffY then getHorizontal (ox, oex, leftX, rightX) - else getVertical (oy, oey, upY, bottomY) - end - else if xChanged then - getHorizontal (ox, oex, leftX, rightX) - else if yChanged then - getVertical (oy, oey, upY, bottomY) - else - NO_MERGE - end - - fun mergeHorizontal (item, newX, newEx) = - let val {y, ey, data, x = _, ex = _} = item - in {x = newX, ex = newEx, y = y, ey = ey, data = data} - end - - fun mergeVertical (item, newY, newEy) = - let val {x, ex, data, y = _, ey = _} = item - in {y = newY, ey = newEy, x = x, ex = ex, data = data} - end - - local - fun mergePass (qx, qy, size, tree, rootSize, rootTree) = - case tree of - EMPTY => (EMPTY, false) - | LEAF item => - let - val mergeDir = getMergeDir (rootSize, rootTree, item) - in - case mergeDir of - NO_MERGE => (LEAF item, false) - | VERTICAL {up, down} => - (LEAF (mergeVertical (item, up, down)), true) - | HORIZONTAL {left, right} => - (LEAF (mergeHorizontal (item, left, right)), true) - end - | NODE {tl, tr, bl, br} => - if size = 1 orelse size mod 2 = 0 then - let - val halfSize = size div 2 - - val (tl, didMergeTl) = mergePass - (qx, qy, halfSize, tl, rootSize, rootTree) - val (tr, didMergeTr) = mergePass - (qx + halfSize, qy, halfSize, tr, rootSize, rootTree) - val (bl, didMergeBl) = mergePass - (qx, qy + halfSize, halfSize, bl, rootSize, rootTree) - val (br, didMergeBr) = mergePass - (qx + halfSize, qy + halfSize, halfSize, br, rootSize, rootTree) - - val didMergeAny = - didMergeTl orelse didMergeTr orelse didMergeBl orelse didMergeBr - val node = NODE {tl = tl, tr = tr, bl = bl, br = br} - in - (node, didMergeAny) - end - else - let - val halfSizeBefore = size div 2 - val halfSizeAfter = (size + 1) div 2 - val qmx = qx + halfSizeBefore - val qmy = qy + halfSizeAfter - - val (tl, didMergeTl) = mergePass - (qx, qy, halfSizeAfter, tl, rootSize, rootTree) - val (tr, didMergeTr) = mergePass - (qmx, qy, halfSizeAfter, tr, rootSize, rootTree) - val (bl, didMergeBl) = mergePass - (qx, qmy, halfSizeAfter, bl, rootSize, rootTree) - val (br, didMergeBr) = mergePass - (qmx, qmy, halfSizeAfter, br, rootSize, rootTree) - - val didMergeAny = - didMergeTl orelse didMergeTr orelse didMergeBl orelse didMergeBr - val node = NODE {tl = tl, tr = tr, bl = bl, br = br} - in - (node, didMergeAny) - end - in - fun merge (rootSize, rootTree) = - let - val (newTree, didMerge) = mergePass - (0, 0, rootSize, rootTree, rootSize, rootTree) - in - if didMerge then merge (rootSize, newTree) else newTree - end - end end

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