Skip to main content

graphics - Encoding format used by GraphicsData?


I am trying to extract some graphics stored in PICT format from a Mathematica notebook, using a platform that doesn't support PICT. If I look at the .nb file in a plain text editor, or if I use FullForm, then I can see that the picture is stored as a GraphicsData head with a text string encoding the picture. It doesn't appear that the GraphicsData head uses Base64 or any other binary-to-text encoding that I know of off the top of my head, but I would like to be able to copy-and-paste the GraphicsData string and decode it manually. Is this possible? Does GraphicsData use a well-known encoding scheme?



Answer



I found an example on the web. Here is code that will convert the PICT data from the format stored in the notebook file into a .pict file that can be opened by an image viewer (e.g. Photoshop).



DecodePICT[data_String] := Module[
{slash, backslash, zero, LF, CR, decode, codes, len, i},
{slash, backslash, zero, LF, CR} = ToCharacterCode["/\\0\n\r"];
decode[char_] := If[char == slash, backslash-zero, char-zero];
len = Length[codes = ToCharacterCode[data]];
i = 1;
Join[Table[0,{512}], Last@Last@Reap@While[i <= len-1,
Which[
codes[[i]] == LF || codes[[i]] == CR,
i++,

codes[[i]] == backslash,
i += 4,
True,
Sow@BitAnd[BitOr[
BitShiftLeft[decode[codes[[i]]], 2],
BitShiftRight[decode[codes[[i+1]]], 4]
], 255];
i++;
If[i <= len-1,
Sow@BitAnd[BitOr[

BitShiftLeft[decode[codes[[i]]], 4],
BitShiftRight[decode[codes[[i+1]]], 2]
], 255]
];
i++;
If[i <= len-1,
Sow@BitAnd[BitOr[
BitShiftLeft[decode[codes[[i]]], 6],
BitShiftRight[decode[codes[[i+1]]], 0]
], 255]

];
i += 2;
]
]]
];

str = "0N801`0]05815@0A0_l<0?ooool0;@0000L0004E0000DP000000002Q0O@0hd=U
K6aK8U`lG0eSKgEbHVEKM5mM83Xm80eLM51QLV5]IGAbJF=@K6md :b1d84=_Le]fGBU3Kg=K DfU^FgIMOBakMR`P<2`P
NVD]?W/b 3B0PBFeQIfEBIFMYKfh]?W]k<2`P 00L0;@1B0AD0<@0602d0DP9203401`920582@P0J0000000002`01@R^0Te30003
2:h0104000d0300^00@0o`0002/]4PiSKgEbHVEKM5mM83Xm8000:b0?4U1QLV5]
IGAbJF=@K6md M213Kg=KMUdYDfU^Fc9fGB`002X?6G@PDfU^FgIMOBakMR`P<2`P 0?l";

Export["~/Desktop/foo.pict", DecodePICT[str], "Binary"]

Comments

Popular posts from this blog

functions - Get leading series expansion term?

Given a function f[x] , I would like to have a function leadingSeries that returns just the leading term in the series around x=0 . For example: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x)] x and leadingSeries[(1/x + 2 + (1 - 1/x^3)/4)/(4 + x)] -(1/(16 x^3)) Is there such a function in Mathematica? Or maybe one can implement it efficiently? EDIT I finally went with the following implementation, based on Carl Woll 's answer: lds[ex_,x_]:=( (ex/.x->(x+O[x]^2))/.SeriesData[U_,Z_,L_List,Mi_,Ma_,De_]:>SeriesData[U,Z,{L[[1]]},Mi,Mi+1,De]//Quiet//Normal) The advantage is, that this one also properly works with functions whose leading term is a constant: lds[Exp[x],x] 1 Answer Update 1 Updated to eliminate SeriesData and to not return additional terms Perhaps you could use: leadingSeries[expr_, x_] := Normal[expr /. x->(x+O[x]^2) /. a_List :> Take[a, 1]] Then for your examples: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x), x] leadingSeries[Exp[x], x] leadingSeries[(1/x + 2 + (1 - 1/x...

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : tdata = {{{a1, b1}, {a2, b2}}, {{a1, c1}, {a2, c2}}, {{a1, d1}, {a2, d2}}} Tableform: And I would like to do better then pseudofunction[n_] := Transpose[{data2[[1]], data2[[n]]}]; SetAttributes[pseudofunction, Listable]; Range[2, 4] // pseudofunction Here is my benchmark data, where data3 is normal sample of real data. data3 = Drop[ExcelWorkBook[[Column1 ;; Column4]], None, 1]; data2 = {a #, b #, c #, d #} & /@ Range[1, 10^5]; data = RandomReal[{0, 1}, {10^6, 4}]; Here is my benchmark code kptnw[list_] := Transpose[{Table[First@#, {Length@# - 1}], Rest@#}, {3, 1, 2}] &@list kptnw2[list_] := Transpose[{ConstantArray[First@#, Length@# - 1], Rest@#}, {3, 1, 2}] &@list OleksandrR[list_] := Flatten[Outer[List, List@First[list], Rest[list], 1], {{2}, {1, 4}}] paradox2[list_] := Partition[Riffle[list[[1]], #], 2] & /@ Drop[list, 1] RM[list_] := FoldList[Transpose[{First@li...

front end - keyboard shortcut to invoke Insert new matrix

I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...