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if not modules then modules = { } end modules ['lpdf-u3d'] = {
version = 1.001,
comment = "companion to lpdf-ini.mkiv",
author = "Hans Hagen, PRAGMA-ADE, Hasselt NL",
copyright = "PRAGMA ADE / ConTeXt Development Team",
license = "see context related readme files"
}
-- The following code is based on a working prototype provided
-- by Michael Vidiassov. It is rewritten using the lpdf library
-- and different checking is used. The macro calls are adapted
-- (and will eventually be removed). The user interface needs
-- an overhaul. There are some messy leftovers that will be
-- removed in future versions.
-- For some reason no one really tested this code so at some
-- point we will end up with a reimplementation. For instance
-- it makes sense to add the same activation code as with swf.
local format, find = string.format, string.find
local cos, sin, sqrt, pi, atan2, abs = math.cos, math.sin, math.sqrt, math.pi, math.atan2, math.abs
local backends, lpdf = backends, lpdf
local nodeinjections = backends.pdf.nodeinjections
local pdfconstant = lpdf.constant
local pdfboolean = lpdf.boolean
local pdfnumber = lpdf.number
local pdfunicode = lpdf.unicode
local pdfdictionary = lpdf.dictionary
local pdfarray = lpdf.array
local pdfnull = lpdf.null
local pdfreference = lpdf.reference
local pdfflushstreamobject = lpdf.flushstreamobject
local pdfflushstreamfileobject = lpdf.flushstreamfileobject
local checkedkey = lpdf.checkedkey
local limited = lpdf.limited
local pdfannotation_node = nodes.pool.pdfannotation
local schemes = table.tohash {
"Artwork", "None", "White", "Day", "Night", "Hard",
"Primary", "Blue", "Red", "Cube", "CAD", "Headlamp",
}
local modes = table.tohash {
"Solid", "SolidWireframe", "Transparent", "TransparentWireframe", "BoundingBox",
"TransparentBoundingBox", "TransparentBoundingBoxOutline", "Wireframe",
"ShadedWireframe", "HiddenWireframe", "Vertices", "ShadedVertices", "Illustration",
"SolidOutline", "ShadedIllustration",
}
local function normalize(x, y, z)
local modulo = sqrt(x*x + y*y + z*z);
if modulo ~= 0 then
return x/modulo, y/modulo, z/modulo
else
return x, y, z
end
end
local function rotate(vect_x,vect_y,vect_z, tet, axis_x,axis_y,axis_z)
-- rotate vect by tet about axis counterclockwise
local c, s = cos(tet*pi/180), sin(tet*pi/180)
local r = 1 - c
local n = sqrt(axis_x*axis_x+axis_y*axis_y+axis_z*axis_z)
axis_x, axis_y, axis_z = axis_x/n, axis_y/n, axis_z/n
return
(axis_x*axis_x*r+c )*vect_x + (axis_x*axis_y*r-axis_z*s)*vect_y + (axis_x*axis_z*r+axis_y*s)*vect_z,
(axis_x*axis_y*r+axis_z*s)*vect_x + (axis_y*axis_y*r+c )*vect_y + (axis_y*axis_z*r-axis_x*s)*vect_z,
(axis_x*axis_z*r-axis_y*s)*vect_x + (axis_y*axis_z*r+axis_x*s)*vect_y + (axis_z*axis_z*r+c )*vect_z
end
local function make3dview(view)
local name = view.name
local name = pdfunicode(name ~= "" and name or "unknown view")
local viewdict = pdfdictionary {
Type = pdfconstant("3DView"),
XN = name,
IN = name,
NR = true,
}
local bg = checkedkey(view,"bg","table")
if bg then
viewdict.BG = pdfdictionary {
Type = pdfconstant("3DBG"),
C = pdfarray { limited(bg[1],1,1,1), limited(bg[2],1,1,1), limited(bg[3],1,1,1) },
}
end
local lights = checkedkey(view,"lights","string")
if lights and schemes[lights] then
viewdict.LS = pdfdictionary {
Type = pdfconstant("3DLightingScheme"),
Subtype = pdfconstant(lights),
}
end
-- camera position is taken from 3d model
local u3dview = checkedkey(view, "u3dview", "string")
if u3dview then
viewdict.MS = pdfconstant("U3D")
viewdict.U3DPath = u3dview
end
-- position the camera as given
local c2c = checkedkey(view, "c2c", "table")
local coo = checkedkey(view, "coo", "table")
local roo = checkedkey(view, "roo", "number")
local azimuth = checkedkey(view, "azimuth", "number")
local altitude = checkedkey(view, "altitude", "number")
if c2c or coo or roo or azimuth or altitude then
local pos = checkedkey(view, "pos", "table")
local dir = checkedkey(view, "dir", "table")
local upv = checkedkey(view, "upv", "table")
local roll = checkedkey(view, "roll", "table")
local coo_x, coo_y, coo_z = 0, 0, 0
local dir_x, dir_y, dir_z = 0, 0, 0
local trans_x, trans_y, trans_z = 0, 0, 0
local left_x, left_y, left_z = 0, 0, 0
local up_x, up_y, up_z = 0, 0, 0
-- point camera is aimed at
if coo then
coo_x, coo_y, coo_z = tonumber(coo[1]) or 0, tonumber(coo[2]) or 0, tonumber(coo[3]) or 0
end
-- distance from camera to target
if roo then
roo = abs(roo)
end
if not roo or roo == 0 then
roo = 0.000000000000000001
end
-- set it via camera position
if pos then
dir_x = coo_x - (tonumber(pos[1]) or 0)
dir_y = coo_y - (tonumber(pos[2]) or 0)
dir_z = coo_z - (tonumber(pos[3]) or 0)
if not roo then
roo = sqrt(dir_x*dir_x + dir_y*dir_y + dir_z*dir_z)
end
if dir_x == 0 and dir_y == 0 and dir_z == 0 then dir_y = 1 end
dir_x, dir_y, dir_z = normalize(dir_x,dir_y,dir_z)
end
-- set it directly
if dir then
dir_x, dir_y, dir_z = tonumber(dir[1] or 0), tonumber(dir[2] or 0), tonumber(dir[3] or 0)
if dir_x == 0 and dir_y == 0 and dir_z == 0 then dir_y = 1 end
dir_x, dir_y, dir_z = normalize(dir_x,dir_y,dir_z)
end
-- set it movie15 style with vector from target to camera
if c2c then
dir_x, dir_y, dir_z = - tonumber(c2c[1] or 0), - tonumber(c2c[2] or 0), - tonumber(c2c[3] or 0)
if dir_x == 0 and dir_y == 0 and dir_z == 0 then dir_y = 1 end
dir_x, dir_y, dir_z = normalize(dir_x,dir_y,dir_z)
end
-- set it with azimuth and altitutde
if altitude or azimuth then
dir_x, dir_y, dir_z = -1, 0, 0
if altitude then dir_x, dir_y, dir_z = rotate(dir_x,dir_y,dir_z, -altitude, 0,1,0) end
if azimuth then dir_x, dir_y, dir_z = rotate(dir_x,dir_y,dir_z, azimuth, 0,0,1) end
end
-- set it with rotation like in MathGL
if rot then
if dir_x == 0 and dir_y == 0 and dir_z == 0 then dir_z = -1 end
dir_x,dir_y,dir_z = rotate(dir_x,dir_y,dir_z, tonumber(rot[1]) or 0, 1,0,0)
dir_x,dir_y,dir_z = rotate(dir_x,dir_y,dir_z, tonumber(rot[2]) or 0, 0,1,0)
dir_x,dir_y,dir_z = rotate(dir_x,dir_y,dir_z, tonumber(rot[3]) or 0, 0,0,1)
end
-- set it with default movie15 orientation looking up y axis
if dir_x == 0 and dir_y == 0 and dir_z == 0 then dir_y = 1 end
-- left-vector
-- up-vector
if upv then
up_x, up_y, up_z = tonumber(upv[1]) or 0, tonumber(upv[2]) or 0, tonumber(upv[3]) or 0
else
-- set default up-vector
if abs(dir_x) == 0 and abs(dir_y) == 0 then
if dir_z < 0 then
up_y = 1 -- top view
else
up_y = -1 -- bottom view
end
else
-- other camera positions than top and bottom, up-vector = up_world - (up_world dot dir) dir
up_x, up_y, up_z = - dir_z*dir_x, - dir_z*dir_y, - dir_z*dir_z + 1
end
end
-- normalize up-vector
up_x, up_y, up_z = normalize(up_x,up_y,up_z)
-- left vector = up x dir
left_x, left_y, left_z = dir_z*up_y - dir_y*up_z, dir_x*up_z - dir_z*up_x, dir_y*up_x - dir_x*up_y
-- normalize left vector
left_x, left_y, left_z = normalize(left_x,left_y,left_z)
-- apply camera roll
if roll then
local sinroll = sin((roll/180.0)*pi)
local cosroll = cos((roll/180.0)*pi)
left_x = left_x*cosroll + up_x*sinroll
left_y = left_y*cosroll + up_y*sinroll
left_z = left_z*cosroll + up_z*sinroll
up_x = up_x*cosroll + left_x*sinroll
up_y = up_y*cosroll + left_y*sinroll
up_z = up_z*cosroll + left_z*sinroll
end
-- translation vector
trans_x, trans_y, trans_z = coo_x - roo*dir_x, coo_y - roo*dir_y, coo_z - roo*dir_z
viewdict.MS = pdfconstant("M")
viewdict.CO = roo
viewdict.C2W = pdfarray {
left_x, left_y, left_z,
up_x, up_y, up_z,
dir_x, dir_y, dir_z,
trans_x, trans_y, trans_z,
}
end
local aac = tonumber(view.aac) -- perspective projection
local mag = tonumber(view.mag) -- ortho projection
if aac and aac > 0 and aac < 180 then
viewdict.P = pdfdictionary {
Subtype = pdfconstant("P"),
PS = pdfconstant("Min"),
FOV = aac,
}
elseif mag and mag > 0 then
viewdict.P = pdfdictionary {
Subtype = pdfconstant("O"),
OS = mag,
}
end
local mode = modes[view.rendermode]
if mode then
pdfdictionary {
Type = pdfconstant("3DRenderMode"),
Subtype = pdfconstant(mode),
}
end
-- crosssection
local crosssection = checkedkey(view,"crosssection","table")
if crosssection then
local crossdict = pdfdictionary {
Type = pdfconstant("3DCrossSection")
}
local c = checkedkey(crosssection,"point","table") or checkedkey(crosssection,"center","table")
if c then
crossdict.C = pdfarray { tonumber(c[1]) or 0, tonumber(c[2]) or 0, tonumber(c[3]) or 0 }
end
local normal = checkedkey(crosssection,"normal","table")
if normal then
local x, y, z = tonumber(normal[1] or 0), tonumber(normal[2] or 0), tonumber(normal[3] or 0)
if sqrt(x*x + y*y + z*z) == 0 then
x, y, z = 1, 0, 0
end
crossdict.O = pdfarray {
pdfnull,
atan2(-z,sqrt(x*x + y*y))*180/pi,
atan2(y,x)*180/pi,
}
end
local orient = checkedkey(crosssection,"orient","table")
if orient then
crossdict.O = pdfarray {
tonumber(orient[1]) or 1,
tonumber(orient[2]) or 0,
tonumber(orient[3]) or 0,
}
end
crossdict.IV = cross.intersection or false
crossdict.ST = cross.transparent or false
viewdict.SA = next(crossdict) and pdfarray { crossdict } -- maybe test if # > 1
end
local nodes = checkedkey(view,"nodes","table")
if nodes then
local nodelist = pdfarray()
for i=1,#nodes do
local node = checkedkey(nodes,i,"table")
if node then
local position = checkedkey(node,"position","table")
nodelist[#nodelist+1] = pdfdictionary {
Type = pdfconstant("3DNode"),
N = node.name or ("node_" .. i), -- pdfunicode ?
M = position and #position == 12 and pdfarray(position),
V = node.visible or true,
O = node.opacity or 0,
RM = pdfdictionary {
Type = pdfconstant("3DRenderMode"),
Subtype = pdfconstant(node.rendermode or "Solid"),
},
}
end
end
viewdict.NA = nodelist
end
return viewdict
end
local stored_js, stored_3d, stored_pr, streams = { }, { }, { }, { }
local function insert3d(spec) -- width, height, factor, display, controls, label, foundname
local width, height, factor = spec.width, spec.height, spec.factor or number.dimenfactors.bp
local display, controls, label, foundname = spec.display, spec.controls, spec.label, spec.foundname
local param = (display and parametersets[display]) or { }
local streamparam = (controls and parametersets[controls]) or { }
local name = "3D Artwork " .. (param.name or label or "Unknown")
local activationdict = pdfdictionary {
TB = pdfboolean(param.toolbar,true),
NP = pdfboolean(param.tree,false),
}
local stream = streams[label]
if not stream then
local subtype, subdata = "U3D", io.loaddata(foundname) or ""
if find(subdata,"^PRC") then
subtype = "PRC"
elseif find(subdata,"^U3D") then
subtype = "U3D"
elseif file.suffix(foundname) == "prc" then
subtype = "PRC"
end
local attr = pdfdictionary {
Type = pdfconstant("3D"),
Subtype = pdfconstant(subtype),
}
local streamviews = checkedkey(streamparam, "views", "table")
if streamviews then
local list = pdfarray()
for i=1,#streamviews do
local v = checkedkey(streamviews, i, "table")
if v then
list[#list+1] = make3dview(v)
end
end
attr.VA = list
end
if checkedkey(streamparam, "view", "table") then
attr.DV = make3dview(streamparam.view)
elseif checkedkey(streamparam, "view", "string") then
attr.DV = streamparam.view
end
local js = checkedkey(streamparam, "js", "string")
if js then
local jsref = stored_js[js]
if not jsref then
jsref = pdfflushstreamfileobject(js)
stored_js[js] = jsref
end
attr.OnInstantiate = pdfreference(jsref)
end
stored_3d[label] = pdfflushstreamfileobject(foundname,attr)
stream = 1
else
stream = stream + 1
end
streams[label] = stream
local name = pdfunicode(name)
local annot = pdfdictionary {
Subtype = pdfconstant("3D"),
T = name,
Contents = name,
NM = name,
["3DD"] = pdfreference(stored_3d[label]),
["3DA"] = activationdict,
}
if checkedkey(param,"view","table") then
annot["3DV"] = make3dview(param.view)
elseif checkedkey(param,"view","string") then
annot["3DV"] = param.view
end
local preview = checkedkey(param,"preview","string")
if preview then
activationdict.A = pdfconstant("XA")
local tag = format("%s:%s:%s",label,stream,preview)
local ref = stored_pr[tag]
if not ref then
local figure = img.immediatewrite {
filename = preview,
width = width,
height = height
}
ref = figure.objnum
stored_pr[tag] = ref
end
if ref then -- see back-pdf ** .. here we have a local /IM !
local zero, one = pdfnumber(0), pdfnumber(1) -- not really needed
local pw = pdfdictionary {
Type = pdfconstant("XObject"),
Subtype = pdfconstant("Form"),
FormType = one,
BBox = pdfarray { zero, zero, pdfnumber(factor*width), pdfnumber(factor*height) },
Matrix = pdfarray { one, zero, zero, one, zero, zero },
Resources = pdfdictionary {
XObject = pdfdictionary {
IM = pdfreference(ref)
}
},
ExtGState = pdfdictionary {
GS = pdfdictionary {
Type = pdfconstant("ExtGState"),
CA = one,
ca = one,
}
},
ProcSet = pdfarray { pdfconstant("PDF"), pdfconstant("ImageC") },
}
local pwd = pdfflushstreamobject(format("q /GS gs %f 0 0 %f 0 0 cm /IM Do Q",factor*width,factor*height),pw)
annot.AP = pdfdictionary {
N = pdfreference(pwd)
}
end
return annot, figure, ref
else
activationdict.A = pdfconstant("PV")
return annot, nil, nil
end
end
function nodeinjections.insertu3d(spec)
local annotation, preview, ref = insert3d { -- just spec
foundname = spec.foundname,
width = spec.width,
height = spec.height,
factor = spec.factor,
display = spec.display,
controls = spec.controls,
label = spec.label,
}
node.write(pdfannotation_node(spec.width,spec.height,0,annotation()))
end
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