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-- This file has dependencies to BOTH, the TeX part of pgfplots and the LUA part.
-- It is the only LUA component with this property.
--
-- Its purpose is to encapsulate the communication between TeX and LUA in a central LUA file
local pgfplotsmath = pgfplots.pgfplotsmath
local error=error
local table=table
local string=string
local tostring=tostring
local type=type
local io=io
do
-- all globals will be read from/defined in pgfplots:
local _ENV = pgfplots
-------------------------------------------------------
-- A patch type.
-- @see \pgfplotsdeclarepatchclass
PatchType = newClass()
function PatchType:constructor(name, numVertices)
self.name = name
self.numVertices = numVertices
end
function PatchType:__tostring()
return self.name
end
function PatchType:newPatch(coords)
return Patch.new(self,coords)
end
LinePatchType = newClassExtends(PatchType)
function LinePatchType:constructor()
PatchType.constructor(self, "line", 2)
end
TrianglePatchType = newClassExtends(PatchType)
function TrianglePatchType:constructor()
PatchType.constructor(self, "triangle", 3)
end
RectanglePatchType = newClassExtends(PatchType)
function RectanglePatchType:constructor()
PatchType.constructor(self, "rectangle", 4)
end
-------------------------------------------------------
--
-- a single patch.
-- @see \pgfplotsdeclarepatchclass
Patch = newClass()
function Patch:constructor(patchtype, coords)
if not patchtype or not coords then error("arguments must not be nil") end
if #coords ~= patchtype.numVertices then error("Unexpected number of coordinates provided; expected " .. tostring(patchtype.numVertices) .. " but got " .. tostring(#coords)) end
self.patchtype = patchtype
self.coords = coords
end
-------------------------------------------------------
-- Replicates \pgfplotsplothandlermesh (to some extend)
MeshPlothandler = newClassExtends(Plothandler)
function MeshPlothandler:constructor(axis, pointmetainputhandler)
Plothandler.constructor(self,"mesh", axis, pointmetainputhandler)
end
-- see \pgfplot@apply@zbuffer
function MeshPlothandler:reverseScanline(scanLineLength)
local coords = self.coords
local tmp
local scanlineOff
local numScanLines = #coords / scanLineLength
for scanline = 0,numScanLines-1,1 do
scanlineOff = scanline * scanLineLength
local reverseindex = scanlineOff + scanLineLength
for i = 0,scanLineLength/2-1,1 do
tmp = coords[1+scanlineOff+i]
coords[1+scanlineOff+i] = coords[reverseindex]
coords[reverseindex] = tmp
reverseindex = reverseindex-1
end
end
end
-- see \pgfplot@apply@zbuffer
function MeshPlothandler:reverseTransposed(scanLineLength)
local coords = self.coords
local tmp
local scanlineOff
local numScanLines = #coords / scanLineLength
local reverseScanline = numScanLines-1
for scanline = 0,numScanLines/2-1,1 do
scanlineOff = 1+scanline * scanLineLength
reverseScanlineOff = 1+reverseScanline * scanLineLength
for i = 0,scanLineLength-1 do
tmp = coords[scanlineOff+i]
coords[scanlineOff+i] = coords[reverseScanlineOff+i]
coords[reverseScanlineOff+i] = tmp
end
reverseScanline = reverseScanline-1
end
end
-- see \pgfplot@apply@zbuffer
function MeshPlothandler:reverseStream()
local coords = self.coords
local tmp
local reverseindex = #coords
for i = 1,#coords/2 do
tmp = coords[i]
coords[i] = coords[reverseindex]
coords[reverseindex] = tmp
reverseindex = reverseindex-1
end
end
-------------------------------------------------------
--
-- The (LUA!) visualizer for patch plots. It prepares stuff such that TeX only needs to work with lowlevel driver (PGF) streams.
--
MeshVisualizer = newClassExtends(PlotVisualizer)
local COORDINATE_VALUE_OF_JUMPS = -16000
local meshVisualizerTagEmptyCoordinates = function(pt)
pt.pgfXY= { COORDINATE_VALUE_OF_JUMPS, COORDINATE_VALUE_OF_JUMPS }
pt.x = { COORDINATE_VALUE_OF_JUMPS, COORDINATE_VALUE_OF_JUMPS, COORDINATE_VALUE_OF_JUMPS }
end
function MeshVisualizer:constructor(sourcePlotHandler, patchType, rows, cols, isXVariesOrdering, isMatrixInput, isMatrixOutput, isZBufferSort)
PlotVisualizer.constructor(self,sourcePlotHandler)
self.patchType = patchType
self.isMatrixInput = isMatrixInput
self.isMatrixOutput = isMatrixOutput
self.isZBufferSort = isZBufferSort
self.rows = rows
self.cols = cols
self.isXVariesOrdering =isXVariesOrdering
self.isOneDimMode= false
self.scanLineLength =-1
if isMatrixInput then
-- isOneDimMode is ONLY interesting for matrix input
if cols <= 1 or rows <=1 then
self.isOneDimMode = true
self.patchType = LinePatchType.new()
-- this is not yet implemented (and cannot happen since the TeX call does catch this)
error("UNSUPPORTED OPERATION EXCEPTION")
end
if isXVariesOrdering then
-- x varies (=rowwise)
self.scanLineLength = cols
else
-- y varies (=colwise)
self.scanLineLength = rows
end
self.notifyJump = meshVisualizerTagEmptyCoordinates
else
-- disable any special handling
self.isXVariesOrdering = true
end
-- log("initialized MeshVisualizer with " .. tostring(sourcePlotHandler) .. ", " .. tostring(patchType) .. ", isMatrixInput = " .. tostring(isMatrixInput) .. ", isMatrixOutput = " .. tostring(isMatrixOutput) .. ", isZBufferSort = " .. tostring(isZBufferSort) .. " rows = " ..tostring(rows) .. " cols = " ..tostring(cols) .. " is x varies=" .. tostring(isXVariesOrdering))
end
function MeshVisualizer:getVisualizationOutput()
local result = PlotVisualizer.getVisualizationOutput(self)
if self.isMatrixInput and not self.isMatrixOutput then
result = self:decodeIntoPatches(result)
end
if self.isZBufferSort then
result = self:applyZBufferSort(result)
end
return result
end
-- @param coords an array of Coord
function MeshVisualizer:applyZBufferSort(coords)
-- in order to sort this thing, we need to compute the sort key (view depth) for each coord.
-- furthermore, each list entry must be single patch... that means we need a (huge?) temporary table.
local patchType = self.patchType
local numVertices = patchType.numVertices
if (#coords % numVertices) ~= 0 then error("Got an unexpected number of input coordinates: each patch has " .. tostring(numVertices) .. " vertices, but the number of coords " .. tostring(#coords) .. " is no multiple of this number") end
local numPatches = #coords / numVertices
-- STEP 1: compute an array of patches.
local patches = {}
local off=1
for i = 1,numPatches do
local patchCoords = {}
for j = 1,numVertices do
local pt = coords[off]
off = off+1
patchCoords[j] = pt
end
local patch = patchType:newPatch(patchCoords)
patches[i] = patch
end
if off ~= 1+#coords then error("Internal error: not all coordinates are part of patches (got " .. tostring(off) .. "/" .. tostring(#coords) ..")") end
-- STEP 2: assign the sort key: the "element depth".
--
-- the "element depth" is defined to be the MEAN of all
-- vertex depths.
-- And since the mean is 1/n * sum_{i=1}^n V_i, we can
-- directly omit the 1/n --- it is the same for every
-- vertex anyway, and we only want to compare the depth
-- values.
local axis = self.axis
local getVertexDepth = axis.getVertexDepth
for i=1,numPatches do
local patch = patches[i]
local patchcoords = patch.coords
local sumOfVertexDepth = 0
for j = 1,numVertices do
local vertex = patchcoords[j]
local vertexDepth = getVertexDepth(axis,vertex)
sumOfVertexDepth = sumOfVertexDepth + vertexDepth
end
patch.elementDepth = sumOfVertexDepth
end
-- STEP 3: SORT.
local comparator = function(patchA, patchB)
return patchA.elementDepth > patchB.elementDepth
end
table.sort(patches, comparator)
-- STEP 4: convert back into a list (in-place).
local off = 1
for i=1,numPatches do
local patch = patches[i]
local patchcoords = patch.coords
for j = 1,numVertices do
coords[off] = patchcoords[j]
off = off+1
end
end
if off ~= 1+#coords then error("Internal error: not all coordinates are part of patches (got " .. tostring(off) .. "/" .. tostring(#coords) ..")") end
return coords
end
function MeshVisualizer:decodeIntoPatches(coords)
local result = {}
local scanLineLength = self.scanLineLength
local length = #coords
local i = scanLineLength
while i < length do
local im = i-scanLineLength
for j = 2,scanLineLength do
table.insert(result, coords[im+j-1]) -- (i-1,j-1)
table.insert(result, coords[im+j]) -- (i-1,j )
table.insert(result, coords[i+j]) -- (i ,j )
table.insert(result, coords[i+j-1]) -- (i ,j-1)
end
i = i + scanLineLength
end
return result
end
end
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