-- Voxel world mode: the sun's own pass -- a real shadow map. -- -- The old drop shadows were decals: each character's sprite frame squashed -- flat onto the ground plane it stood on. That can only ever paint the -- FLOOR, so a shadow stopped dead at the foot of a wall, and nothing but a -- character cast one at all -- buildings, trees, signs and ledges threw -- nothing. -- -- So render the scene once from the sun instead. An orthographic camera -- pointed down the sun line stores, per texel, how far the light travelled -- before it hit something; the main pass transforms each fragment into that -- same space and asks whether anything got there first. What the sun cannot -- see is in shadow, whatever surface it happens to be -- so a shadow climbs -- a wall, drapes over a roof and slides across a passing NPC without a -- single case in the code, and every caster is simply whatever the pass -- draws: the terrain mesh (buildings, trees, ledges, props -- all of it) -- plus one upright card per character. -- -- Depth is stored in an ORDINARY color canvas, packed into two 8-bit -- channels (~16 bits over the frustum, well under a tenth of a world -- pixel). A readable depth texture would be tidier, but depth sampling is -- the least portable corner of the graphics API and this mod's whole -- contract is that an unsupported driver falls back rather than errors -- -- everything here is pcall-guarded and `available()` reports the result, -- with VoxelScene dropping back to the flat decal shadows when it says no. -- the mod namespace (see main.lua): V.require loads a sibling module local V = ... local Mat4 = V.require("Mat4") local Voxel = V.require("VoxelState") local ShadowMap = {} -- The sun, as the shear a shadow takes: a point `y` world-pixels above the -- ground drops its shadow (KX*y, KZ*y) away from the point under it. Both -- negative hangs the sun in the SOUTHEAST, so every shadow falls northwest -- -- up and to the left on screen, since the camera puts north at the top -- and east to the right at every tilt. -- -- Their MAGNITUDE is how low the sun sits: hypot(KX, KZ) = 1.01 puts it -- about 45 degrees up, so a 16px character throws a shadow about as long -- as it is tall -- against the 62-degree noon these started at, which read -- as a smudge under everybody's feet. -- -- Their RATIO is the compass bearing, and it leans WEST of northwest on -- purpose. A character is drawn as a slab leaning back away from the -- camera, which covers the ground directly north of its feet -- so a -- shadow thrown due north lands entirely underneath the figure casting it -- and is never seen. At 0.85 west the shadow reaches 13px out against the -- sprite's own 8px half-width, so it clears the slab and reads, while 0.55 -- north still puts it a clear 23 degrees up from horizontal on screen. ShadowMap.KX = -0.85 -- west drift per pixel of height ShadowMap.KZ = -0.55 -- north drift per pixel of height -- Shadow map edge, in texels -- chosen per frame from this ladder, because -- the light frustum is sized to the WORLD VIEW and that swings by 3x -- between the closest zoom and a maximised window at the widest. A fixed -- edge is either wasteful at one end or a blur at the other. -- -- TARGET is the world pixels per texel worth paying for: at a third of a -- pixel a shadow edge lands inside the pixel grid this whole mode exists -- to keep crisp, and finer buys nothing the grid can show. The smallest -- size that meets it wins, and the ladder tops out at 2048 (16 MB, and the -- depth buffer behind it matches) rather than chasing the target forever. ShadowMap.SIZES = { 1024, 1536, 2048 } ShadowMap.TARGET = 0.45 ShadowMap.res = 1024 -- the rung in use; read by the main pass's filter -- The tallest geometry the pass covers: gabled buildings and border forest -- run well under this, and the margin it buys costs only resolution -- -- with the sun this low the frustum has to widen by most of HEIGHT again -- on every side to catch what casts in from off-screen. ShadowMap.HEIGHT = 160 -- Depth slack at the comparison, in world pixels. Too little and a lit -- surface shadows itself in a moire of acne; too much and a shadow detaches -- from the foot of what casts it. The frustum is ~400 world pixels deep and -- the packed depth resolves under 0.01 of one, so there is room. -- -- It cannot be ONE number, because what the comparison has to forgive is -- not fixed: the map stores one depth for a whole texel, so a lit surface -- reads its own depth wrong by however far it RAMPS across that texel -- -- the texel's world size times the surface's slope in the light's frame. -- The texel swings from a third of a world pixel at the closest zoom to -- well over one at a maximised window on the widest, so a constant bias is -- generous at one end of the ladder and short at the other. Short shows up -- as diagonal bands of acne across big lit surfaces -- diagonal because -- the moire runs along neither the world grid nor the screen's, but along -- the depth ramp in the sun's own frame, and the sun sits southeast. -- -- So: a floor for what does not scale (the packed depth's quantisation, -- and the two passes reaching the same world point by different matrices), -- plus a term in texels for what does. ShadowMap.BIAS = 0.5 -- World pixels of slack per world pixel of texel, for the steepest LIT -- surface here: a roof pitched 45 degrees and turned away from the sun, -- whose depth ramps about 3.1 world pixels per texel crossed on EITHER of -- the light frame's two axes (a vertical wall, by comparison, manages 1.7, -- flat ground 0.7, and anything steeper than that roof has its back to the -- sun and never reads the map at all). The 2x2 filter's taps sit half a -- texel out on both axes at once, so the worst a tap can disagree by is -- half the ramp along each -- which is where the halving that turns 6.2 -- into 3.1 comes from, and why it is the SUM of the two components rather -- than their magnitude. -- -- Measured against the artefact rather than trusted: the probe -- (tests/voxel_acne_probe.lua) counts isolated shadowed pixels on lit -- surfaces, and the banding stops at slack ~2.4 world px on the widest -- rung -- where this lands 3.1 * 0.83 + 0.5. ShadowMap.SLOPE = 3.1 -- The slack `fit` last worked out, in world pixels -- BIAS + SLOPE*texel. -- Read by probes; `ShadowMap.bias` is the same number as the [0,1] depth -- the map actually stores. ShadowMap.slack = ShadowMap.BIAS local SHADER = [[ varying float vDepth; #ifdef VERTEX uniform mat4 lightVP; uniform mat4 model; vec4 position(mat4 transform_projection, vec4 vertex_position) { vec4 c = lightVP * (model * vertex_position); // the projection is orthographic, so w is 1 and clip z IS the depth, // linear in world units along the sun line vDepth = c.z * 0.5 + 0.5; return c; } #endif #ifdef PIXEL uniform float sprite; // 1 while the CAST is being drawn; see ShadowMap.sprites vec4 effect(vec4 color, Image tex, vec2 tc, vec2 sc) { // the same alpha discard the main pass uses: a sprite card casts its // silhouette, not its 16x16 bounding box if (Texel(tex, tc).a < 0.5) discard; // pack into two channels: the high byte in red, the low in green. // Blue says WHAT cast this, which costs a channel that was zero anyway // and lets a surface decline one kind of caster -- water does, for the // people (see Water's sunLit). float d = clamp(vDepth, 0.0, 1.0) * 255.0; return vec4(floor(d) / 255.0, fract(d), sprite, 1.0); } #endif ]] ShadowMap._source = function() return SHADER end -- named for the suite local shader = nil -- nil = untried, false = unavailable local canvas = nil -- nil = untried, false = unavailable local canvasRes = 0 -- the edge `canvas` was made at local blank = nil -- 1x1 stand-in so the sampler is never unbound local drawing = false local ready = false local lastSig = nil local prevBlend, prevAlphaMode = nil, nil local IDENTITY = Mat4.identity() -- world -> [0,1] cube, applied on top of the clip matrix: the main pass -- samples the map with the xy and compares against the z local TO_UNIT = { 0.5, 0, 0, 0.5, 0, 0.5, 0, 0.5, 0, 0, 0.5, 0.5, 0, 0, 0, 1 } -- world -> light clip space, for the pass that FILLS the map ShadowMap.clipVP = IDENTITY -- world -> the unit cube, for the pass that READS it ShadowMap.uvVP = IDENTITY -- ShadowMap.BIAS expressed in the [0,1] depth the map stores ShadowMap.bias = 0 local function getShader() if shader == nil then local ok, sh = pcall(love.graphics.newShader, SHADER) shader = (ok and sh) or false end return shader or nil end -- The map canvas at edge `res`, rebuilt when the rung changes (a zoom -- step, a window resize). `false` is sticky: a driver that could not make -- one at all is not asked again every frame. local function getCanvas(res) if canvas == false then return nil end if canvas and canvasRes == res then return canvas end local ok, c = V.require("PixelCanvas").new(res, res) if not (ok and c) then canvas = false return nil end -- nearest: the 2x2 filter in the main pass wants raw texels, and a -- linearly blended PACKED depth is not a depth at all c:setFilter("nearest", "nearest") pcall(c.setWrap, c, "clamp", "clamp") if canvas and canvas.release then pcall(canvas.release, canvas) end canvas, canvasRes = c, res ready = false return canvas end -- A 1x1 opaque white image. The main pass's shader always declares the -- shadow sampler, so something has to be bound even on the frames (and the -- drivers) where there is no map -- unpacked it reads as depth 1 + 1/255, -- which is beyond the far plane and therefore "nothing occludes anything". local function getBlank() if blank == nil then local ok, img = pcall(function() local data = love.image.newImageData(1, 1) data:setPixel(0, 0, 1, 1, 1, 1) return love.graphics.newImage(data) end) blank = (ok and img) or false end return blank or nil end -- Whether the player asked for shadows at all (the SHADOWS row, see -- lib/Shadows). Asked through a pcall because this module is loaded by -- probes and by the suite with no mod namespace around it, where the answer -- is simply yes. -- -- ONE gate for both halves of the module -- can the pass run, and is there -- a map to read -- because they must never disagree: available() alone -- would leave the LAST map standing (`ready` is still true), and every -- surface would go on wearing shadows frozen in the pose the row was -- switched off in. function ShadowMap.wanted() local ok, on = pcall(function() return V.require("Shadows").enabled() end) return (not ok) or on end -- Whether the sun pass can run at all. False headless, without shaders, or -- where the canvas cannot be made -- VoxelScene then keeps the flat decal -- shadows, which need nothing but a quad -- and false with the row off, -- where nothing stands in (see lib/Shadows). function ShadowMap.available() if not ShadowMap.wanted() then return false end if love.system and love.system.getOS and love.system.getOS() == "iOS" then return false end if not (love.graphics and love.graphics.newCanvas and love.graphics.setDepthMode) then return false end -- the smallest rung is enough to answer the question; fit() picks the -- one this frame actually wants return getShader() ~= nil and getCanvas(ShadowMap.SIZES[1]) ~= nil end -- The map to sample, or the blank stand-in. Never nil once the main pass -- has a shader at all, because an unbound sampler is a driver-dependent -- crash rather than a driver-dependent fallback. function ShadowMap.texture() if ready and canvas then return canvas end return getBlank() end -- True while the map holds a frame the main pass can read. The row's OFF -- lands here as well as on available(): a map drawn a frame ago is still in -- the canvas, and every reader (the scene shader's sunDark, the water's, -- the forest's beams) hangs off this one answer. function ShadowMap.active() return ready and canvas ~= nil and canvas ~= false and ShadowMap.wanted() end -- The direction the light TRAVELS, normalized. The shear is the shadow a -- unit of height throws, so the displacement from a point to where its -- shadow lands is (KX, -1, KZ) -- which is the ray. local function sunDir() local x, y, z = ShadowMap.KX, -1, ShadowMap.KZ local l = math.sqrt(x * x + y * y + z * z) return { x / l, y / l, z / l } end ShadowMap.sunDir = sunDir -- How far NORTH of the view centre the camera can still see ground, in -- world pixels: the top edge of the view frustum dropped onto the ground -- plane. The lower the camera the further that reaches, and past about 64 -- degrees the ray clears the horizon and the honest answer is "forever" -- -- hence the cap. Ground beyond it compresses into a few pixels near the -- skyline, and its shadows with it, so the border fade in the main pass -- eases them out rather than the frustum ending on a hard line. ShadowMap.FAR_CAP = 2.5 -- multiples of the view height local function groundReach(vh) local a = Voxel.angle or 0 local cap = ShadowMap.FAR_CAP * vh -- half the vertical field of view: the same FOCAL the camera projects -- with, so the two frusta agree about what is on screen local half = math.atan(1 / (2 * Voxel.FOCAL)) local below = (math.pi / 2 - a) - half -- top ray, below horizontal if below <= 0.02 then return cap end local dist = Voxel.FOCAL * vh local horizon = dist * math.cos(a) / math.tan(below) return math.max(vh / 2, math.min(cap, horizon - dist * math.sin(a))) end -- Fit the light frustum to the ground the camera can see, plus the margin -- the casters for it stand in. -- -- Both are ASYMMETRIC, and for opposite reasons. The camera sits south of -- its focus and looks north, so the ground it sees runs far north and -- barely south. The sun sits southeast, so the things whose shadows land -- on that ground stand south and east of it -- which means the caster -- margin is only ever needed on two of the four sides. Paying for it on -- all four (and for a view-sized box at every pitch) is what the first cut -- did, and at 75 degrees it covered about a third of what was on screen. -- -- The box is snapped to whole texels. Without that, a frustum that slides -- continuously with the camera reprojects every shadow edge a fraction of a -- texel every frame and the whole world's shadows crawl and shimmer while -- you walk. local function fit(cx, cy, vw, vh) local f = sunDir() local view = Mat4.lookAt({ 0, 0, 0 }, f, { 0, 0, -1 }) local reach = ShadowMap.HEIGHT * math.max(math.abs(ShadowMap.KX), math.abs(ShadowMap.KZ)) + 24 local north = groundReach(vh) -- the view widens with distance, so the far ground spans more than the -- near ground does; half the depth is a serviceable stand-in for the -- frustum's true spread and costs a good deal less resolution local spread = north * 0.5 local xs = { cx - vw / 2 - spread, cx + vw / 2 + spread + reach } local ys = { -32, ShadowMap.HEIGHT } -- -32 covers recessed water local zs = { cy - north, cy + vh / 2 + reach } local l, r, b, t, zn, zf for _, x in ipairs(xs) do for _, y in ipairs(ys) do for _, z in ipairs(zs) do local px = view[1] * x + view[2] * y + view[3] * z + view[4] local py = view[5] * x + view[6] * y + view[7] * z + view[8] local pz = view[9] * x + view[10] * y + view[11] * z + view[12] l = l and math.min(l, px) or px r = r and math.max(r, px) or px b = b and math.min(b, py) or py t = t and math.max(t, py) or py zn = zn and math.min(zn, pz) or pz zf = zf and math.max(zf, pz) or pz end end end local w, h = r - l, t - b -- pick the resolution rung: the smallest that resolves TARGET world -- pixels per texel across the wider side, else the largest there is local res = ShadowMap.SIZES[#ShadowMap.SIZES] for _, size in ipairs(ShadowMap.SIZES) do if math.max(w, h) / size <= ShadowMap.TARGET then res = size break end end ShadowMap.res = res -- the box's SIZE is fixed (the sun and the view size are), so snapping -- its corner to a texel multiple moves it in whole texels only local tx, ty = w / res, h / res l = math.floor(l / tx) * tx b = math.floor(b / ty) * ty r, t = l + w, b + h -- view-space z runs NEGATIVE into the scene; ortho() wants distances, -- and the slack keeps geometry taller than HEIGHT from being clipped -- clean out of the pass instead of merely casting a truncated shadow local near, far = -zf - 64, -zn + 64 local proj = Mat4.ortho(l, r, b, t, near, far) -- flip clip-space Y for the same reason the camera does: we bypass -- LOVE's transform_projection, and canvas coordinates run Y DOWN, so -- without this the map is stored upside down relative to the uv the -- main pass reads it with proj = Mat4.mul(Mat4.scale(1, -1, 1), proj) ShadowMap.clipVP = Mat4.mul(proj, view) ShadowMap.uvVP = Mat4.mul(TO_UNIT, ShadowMap.clipVP) -- what the frustum ended up covering, for probes: the lateral extent in -- world pixels divided by RES is how fine a shadow edge can land ShadowMap.extent = { r - l, t - b, far - near } -- the slack the comparison needs, against the coarser of the two texel -- axes (the box is asymmetric, and one number has to cover both) ShadowMap.slack = ShadowMap.BIAS + ShadowMap.SLOPE * math.max(w, h) / res -- the stored depth spans the frustum, so a world-pixel bias is that -- fraction of it ShadowMap.bias = ShadowMap.slack / math.max(1, far - near) end -- How much of the compare's forgiveness a snugged caster takes back, 0..1. -- Short of 1 on purpose: at exactly 1 the card's own fragments compare -- against their own stored depth on a float-equality knife edge and can -- speckle. The tenth left over is dozens of times the packed depth's -- quantization -- ample for that -- and leaves the contact gap around a -- quarter of a world pixel at any sun, which no zoom resolves. ShadowMap.SNUG = 0.9 -- A CASTER snugged up the sun ray -- moved TOWARD the light -- before it is -- drawn into the map. -- -- The depth compare forgives `slack` world pixels (BIAS + the SLOPE term) -- so lit surfaces do not acne against their own texels -- but that same -- forgiveness is what lets the ground right next to a standing figure read -- as lit: a receiver within `slack` of its blocker along the ray passes the -- test, so the first stretch of every shadow is forgiven away and on screen -- it starts that far from the feet, further the lower the sun. The classic -- peter-panning; unseen while the sun hung at a fixed 45 degrees, plain at -- a day/night golden hour or under the moon. -- -- Moving the card ALONG ITS OWN RAY changes nothing about where its shadow -- falls -- every point stays on the same light ray -- but moving it toward -- the sun stores it SHALLOWER, so a ground point right at the foot is -- already `slack` deeper than the stored blocker and fails the lit test: -- the root lands back under the feet. Nothing else is touched -- no -- terrain moved, so the acne margin the slack exists for is intact where -- it matters. For sprite cards and other thin stand-ins only. -- -- ONE OBLIGATION comes with it: the caster's LIT draw must hand this same -- snugged transform to its shadow lookup (Voxel3D.draw's `sunModel`). -- Stored and lookup then agree exactly, as they did before snugging, and -- the compare keeps its full acne margin. A caster stored snugged but read -- un-snugged is 0.9 of the margin short, and the loss shows up as diagonal -- moire bands crawling across the card. -- -- Valid between begin() and the next begin(): `slack` and the sun hold -- still between redraws of the map, so a lit frame that reuses last -- frame's map computes the same displacement it was stored with. function ShadowMap.snug(model) local f = sunDir() local s = -ShadowMap.slack * ShadowMap.SNUG return Mat4.mul(Mat4.translate(f[1] * s, f[2] * s, f[3] * s), model or IDENTITY) end -- Whether the map has to be redrawn for `sig` -- a caller-built stamp of -- everything the pass depends on (camera, terrain meshes, every pose). A -- frame that changes none of it reuses the map it already has, which is -- most of a dialog, a menu or any moment standing still. function ShadowMap.stale(sig) return not ready or sig ~= lastSig end -- Begin the sun pass. Returns false when it could not start, in which case -- the caller must not draw into it or call finish. function ShadowMap.begin(cx, cy, vw, vh) local sh = getShader() if not sh then return false end -- fit first: it is what decides which resolution rung this view wants fit(cx, cy, vw, vh) local c = getCanvas(ShadowMap.res) if not c then return false end local ok = pcall(love.graphics.setCanvas, { c, depth = true }) if not ok then pcall(love.graphics.setCanvas) return false end prevBlend, prevAlphaMode = love.graphics.getBlendMode() -- white clears to depth 1 + 1/255, past the far plane: a texel nothing -- was drawn into can never shadow anything love.graphics.clear(1, 1, 0, 1, true, true) love.graphics.setDepthMode("lequal", true) love.graphics.setMeshCullMode("none") -- replace, not alpha blend: these are packed numbers, not colors love.graphics.setBlendMode("replace", "premultiplied") love.graphics.setShader(sh) love.graphics.setColor(1, 1, 1, 1) pcall(sh.send, sh, "lightVP", "row", ShadowMap.clipVP) -- the world until a cast pass says otherwise, reset per pass so one that -- forgot to put it back cannot leak into the next map's terrain pcall(sh.send, sh, "sprite", 0) drawing = true ready = false return true end -- Draw one caster. Same signature as Voxel3D.draw minus the camera-ward -- pull, which is a trick for the VIEW's depth buffer and would drag a -- shadow off whatever throws it. -- Whether what is drawn next is one of the CAST -- a walker, an authored -- figure, a battle's Pokemon -- rather than part of the world. false for the -- length of such a pass, true to put it back. -- -- The map records it per texel (the shader's blue channel) so a surface can -- decline that kind of caster, and exactly one does: water. A character -- standing at a lake's edge threw a hard cut-out of its own sprite across -- the surface, which on something showing the sky and the shoreline reads as -- a sticker rather than as a shadow in the water. Everything else -- ground, -- roofs, ledges, the characters themselves -- still takes them. -- -- Sent rather than branched, so a caller that forgets to put it back only -- mislabels casters rather than losing them; begin() resets it per pass. function ShadowMap.sprites(on) if not drawing then return end local sh = getShader() if sh then pcall(sh.send, sh, "sprite", on and 1 or 0) end end function ShadowMap.draw(mesh, texture, model) if not (drawing and mesh) then return end local sh = getShader() if texture then mesh:setTexture(texture) end pcall(sh.send, sh, "model", "row", model or IDENTITY) love.graphics.draw(mesh) end -- Close the pass and stamp it with the signature it was drawn for. function ShadowMap.finish(sig) if not drawing then return end drawing = false love.graphics.setShader() love.graphics.setDepthMode() love.graphics.setCanvas() love.graphics.setBlendMode(prevBlend or "alpha", prevAlphaMode) love.graphics.setColor(1, 1, 1, 1) lastSig = sig ready = true end -- Drop the GPU objects (window resize, hot reload). function ShadowMap.invalidate() canvas, canvasRes, blank = nil, 0, nil drawing, ready, lastSig = false, false, nil end return ShadowMap