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%    Copyright (C) 1995 Aladdin Enterprises.  All rights reserved.
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% 
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% This software is provided AS-IS with no warranty, either express or
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% implied.
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% 
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% This software is distributed under license and may not be copied,
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% modified or distributed except as expressly authorized under the terms
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% of the license contained in the file LICENSE in this distribution.
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% 
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% For more information about licensing, please refer to
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% http://www.ghostscript.com/licensing/. For information on
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% commercial licensing, go to http://www.artifex.com/licensing/ or
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% contact Artifex Software, Inc., 101 Lucas Valley Road #110,
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% San Rafael, CA  94903, U.S.A., +1(415)492-9861.
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% $Id: docie.ps,v 1.5 2003/04/12 18:08:18 ray Exp $
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% docie.ps
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% Emulate CIE algorithms in PostScript.
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% ---------------- Auxiliary procedures ---------------- %
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/r1default [0 1] def
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/r3default [0 1 0 1 0 1] def
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/apply3		% <u> <v> <w> [<pu> <pv> <pw>] apply3 <u'> <v'> <w'>
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 {  { 4 -1 roll exch exec } forall
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 } bind def
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/restrict	% <u> <min> <max> restrict <u'>
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 { 3 1 roll .max .min
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 } bind def
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/restrict3	% <u> <v> <w> [<minu> ... <maxw>] restrict3 <u'> <v'> <w'>
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 { aload pop
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   7 -1 roll 3 1 roll restrict 7 1 roll
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   5 -1 roll 3 1 roll restrict 5 1 roll
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   restrict 3 1 roll
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 } bind def
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/rescale	% <u> <min> <max> rescale <u'>
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 { 1 index sub 3 1 roll sub exch div 0 .max 1 .min
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 } bind def
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/rescale3	% <u> <v> <w> [<minu> ... <maxw>] rescale3 <u'> <v'> <w'>
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 { aload pop
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   7 -1 roll 3 1 roll rescale 7 1 roll
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   5 -1 roll 3 1 roll rescale 5 1 roll
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   rescale 3 1 roll
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 } bind def
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/mmult3		% <u> <v> <w> [<uu> <uv> ... <wv> <ww>] mmult3
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		%   <u'> <v'> <w'>
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 { 4 -1 roll dup dup 6 -1 roll dup dup 8 -1 roll dup dup
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   10 -1 roll { 10 -1 roll mul } forall
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		% Stack: u1 v1 w1 u2 v2 w2 u3 v3 w3
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   4 -1 roll add 6 -1 roll add
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		% Stack: u1 v1 u2 v2 u3 v3 w'
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   7 1 roll 3 -1 roll add 4 -1 roll add
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		% Stack: w' u1 u2 u3 v'
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   5 1 roll add add 3 1 roll
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 } bind def
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/minvert3	% [<uu> <uv> ... <wv> <ww>] minvert3
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		%   [<uu'> <uv'> ... <wv'> <ww'>]
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 { 16 dict begin
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   aload pop { I H G F E D C B A } { exch def } forall
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   /coa E I mul F H mul sub def
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   /cob F G mul D I mul sub def
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   /coc D H mul E G mul sub def
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   /det A coa mul B cob mul add C coc mul add def
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   [ coa det div
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     C H mul B I mul sub det div
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     B F mul C E mul sub det div
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     cob det div
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     A I mul C G mul sub det div
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     C D mul A F mul sub det div
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     coc det div
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     B G mul A H mul sub det div
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     A E mul B D mul sub det div
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   ]
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   end
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 } bind def
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/print1
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 { print dup ==
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 } bind def
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/print3
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 { print 3 array astore dup == aload pop
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 } bind def
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% ---------------- Mapping to XYZ ---------------- %
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/csmap		% <csdict> <l> <m> <n> csmap <csdict> <x> <y> <z>
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 { 3 index /RangeLMN .knownget not { r3default } if restrict3
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DOCIEDEBUG { (After RangeLMN Decode: ) print3 } if
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   3 index /DecodeLMN .knownget { apply3 } if
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DOCIEDEBUG { (After DecodeLMN Decode: ) print3 } if
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   3 index /MatrixLMN .knownget { mmult3 } if
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DOCIEDEBUG { (After MatrixLMN Decode: ) print3 } if
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 } bind def
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/csciea		% <csdict> <a> csciea <csdict> <x> <y> <z>
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 { 1 index /RangeA .knownget not { r1default } if restrict
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DOCIEDEBUG { (After RangeA Decode: ) print1 } if
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   1 index /DecodeA .knownget { exec } if
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DOCIEDEBUG { (After DecodeA Decode: ) print1 } if
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   1 index /MatrixA .knownget
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    { { 1 index mul exch } forall pop }
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    { dup dup }
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   ifelse
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DOCIEDEBUG { (After MatrixA Decode: ) print3 } if
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   csmap
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 } bind def
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/cscieabc	% <csdict> <a> <b> <c> cscieabc <csdict> <x> <y> <z>
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 { 3 index /RangeABC .knownget not { r3default } if restrict3
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DOCIEDEBUG { (After RangeABC Decode: ) print3 } if
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   3 index /DecodeABC .knownget { apply3 } if
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DOCIEDEBUG { (After DecodeABC Decode: ) print3 } if
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   3 index /MatrixABC .knownget { mmult3 } if
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DOCIEDEBUG { (After MatrixABC Decode: ) print3 } if
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   csmap
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 } bind def
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% ---------------- Rendering from XYZ ---------------- %
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/lookup3	% <rtable> <a[0..1]> <b[0..1]> <c[0..1]> lookup3
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		%   <rtable> <bytes>
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 { 3 -1 roll 3 index 0 get 1 sub mul
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   3 -1 roll 3 index 1 get 1 sub mul
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   3 -1 roll 3 index 2 get 1 sub mul
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		% Stack: rtable ia ib ic
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DOCIEDEBUG { (RenderTable indices: ) print3 mark 5 1 roll } if
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   3 -1 roll round cvi 3 index 3 get exch get
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		% Stack: rtable ib ic string
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   3 -1 roll round cvi 3 index 2 get mul
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		% Stack: rtable ic string ib*nc
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   3 -1 roll round cvi add 2 index 4 get mul
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		% Stack: rtable string index
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   2 index 4 get getinterval
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		% Stack: rtable bytes
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DOCIEDEBUG { (RenderTable values: ) print (<) print (%stdout) (w) file 1 index writehexstring (>) = } if
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 } bind def
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/bpdefault [0 0 0] def
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/crmap		% <csdict> <crdict> <x> <y> <z> crmap <v1> ...
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 {
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DOCIEDEBUG { (CIE XYZ = ) print3 } if
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   3 index /MatrixPQR .knownget { mmult3 } if
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DOCIEDEBUG { (After MatrixPQR: ) print3 } if
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   4 index /WhitePoint get
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   5 index /BlackPoint .knownget not { bpdefault } if
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   5 index /WhitePoint get
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   6 index /BlackPoint .knownget not { bpdefault } if
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   4
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     { 4 -1 roll aload pop
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			% Stack: csdict crdict x y z pt pt pt px py pz
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       3 copy 12 index /MatrixPQR .knownget { mmult3 } if 6 array astore
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     }
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   repeat
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			% Stack: csdict crdict x y z wps+ bps+ wpd+ bpd+
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   9 -1 roll pop		% get rid of csdict
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   7 4 roll
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   7 index /TransformPQR get
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    {			% Stack: crdict wps+ bps+ wpd+ bpd+ u v w proc
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      8 copy exch pop exch pop
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      exec exch pop 4 -1 roll pop
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    }
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   forall
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   7 3 roll pop pop pop pop	% get rid of White/BlackPoints
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DOCIEDEBUG { (After TransformPQR: ) print3 } if
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   3 index /MatrixPQR .knownget { minvert3 mmult3 } if
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DOCIEDEBUG { (After MatrixPQR': ) print3 } if
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   3 index /MatrixLMN .knownget { mmult3 } if
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DOCIEDEBUG { (After MatrixLMN Encode: ) print3 } if
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   3 index /EncodeLMN .knownget { apply3 } if
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DOCIEDEBUG { (After EncodeLMN Encode: ) print3 } if
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   3 index /RangeLMN .knownget not { r3default } if restrict3
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DOCIEDEBUG { (After RangeLMN Encode: ) print3 } if
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   3 index /MatrixABC .knownget { mmult3 } if
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DOCIEDEBUG { (After MatrixABC Encode: ) print3 } if
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   3 index /EncodeABC .knownget { apply3 } if
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DOCIEDEBUG { (After EncodeABC Encode: ) print3 } if
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   3 index /RangeABC .knownget not { r3default } if
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   5 -1 roll /RenderTable .knownget
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    {		% Stack: u v w ranges rtable
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      5 1 roll rescale3
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DOCIEDEBUG { (Rescaled ABC: ) print3 } if
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		% Stack: rtable a b c
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      lookup3
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		% Stack: rtable bytes
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       {	% Stack: values rtable bytes c
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	 2 copy get 255 div
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		% Stack: values rtable bytes c v
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	 3 index 3 -1 roll 5 add get exec 3 1 roll
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       }
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      for pop pop
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DOCIEDEBUG { (After RenderTableT: ) print ] dup == aload pop } if
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    }
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    { restrict3
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DOCIEDEBUG { (After RangeABC Encode: ) print3 } if
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    }
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   ifelse
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 } bind def
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% ---------------- Top level control ---------------- %
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/mapdict mark
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  /CIEBasedA { 1 get exch csciea currentcolorrendering 4 1 roll crmap } bind
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  /CIEBasedABC { 1 get 4 1 roll cscieabc currentcolorrendering 4 1 roll crmap } bind
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.dicttomark def
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/mapcie		% <a> mapcie <v1> ...
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		% <a> <b> <c> mapcie <v1> ...
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 { currentcolorspace dup 0 get //mapdict exch get exec
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 } bind def