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+% Copyright (C) 1995 Aladdin Enterprises. All rights reserved.
+%
+% This program is free software; you can redistribute it and/or modify it
+% under the terms of the GNU General Public License as published by the
+% Free Software Foundation; either version 2 of the License, or (at your
+% option) any later version.
+%
+% This program is distributed in the hope that it will be useful, but
+% WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
+% Public License for more details.
+%
+% You should have received a copy of the GNU General Public License along
+% with this program; if not, write to the Free Software Foundation, Inc.,
+% 59 Temple Place, Suite 330, Boston, MA, 02111-1307.
+
+% $Id: docie.ps,v 1.2.6.1.2.1 2003/04/12 14:02:38 giles Exp $
+% docie.ps
+% Emulate CIE algorithms in PostScript.
+
+% ---------------- Auxiliary procedures ---------------- %
+
+/r1default [0 1] def
+/r3default [0 1 0 1 0 1] def
+
+/apply3 % <u> <v> <w> [<pu> <pv> <pw>] apply3 <u'> <v'> <w'>
+ { { 4 -1 roll exch exec } forall
+ } bind def
+
+/restrict % <u> <min> <max> restrict <u'>
+ { 3 1 roll .max .min
+ } bind def
+
+/restrict3 % <u> <v> <w> [<minu> ... <maxw>] restrict3 <u'> <v'> <w'>
+ { aload pop
+ 7 -1 roll 3 1 roll restrict 7 1 roll
+ 5 -1 roll 3 1 roll restrict 5 1 roll
+ restrict 3 1 roll
+ } bind def
+
+/rescale % <u> <min> <max> rescale <u'>
+ { 1 index sub 3 1 roll sub exch div 0 .max 1 .min
+ } bind def
+
+/rescale3 % <u> <v> <w> [<minu> ... <maxw>] rescale3 <u'> <v'> <w'>
+ { aload pop
+ 7 -1 roll 3 1 roll rescale 7 1 roll
+ 5 -1 roll 3 1 roll rescale 5 1 roll
+ rescale 3 1 roll
+ } bind def
+
+/mmult3 % <u> <v> <w> [<uu> <uv> ... <wv> <ww>] mmult3
+ % <u'> <v'> <w'>
+ { 4 -1 roll dup dup 6 -1 roll dup dup 8 -1 roll dup dup
+ 10 -1 roll { 10 -1 roll mul } forall
+ % Stack: u1 v1 w1 u2 v2 w2 u3 v3 w3
+ 4 -1 roll add 6 -1 roll add
+ % Stack: u1 v1 u2 v2 u3 v3 w'
+ 7 1 roll 3 -1 roll add 4 -1 roll add
+ % Stack: w' u1 u2 u3 v'
+ 5 1 roll add add 3 1 roll
+ } bind def
+
+/minvert3 % [<uu> <uv> ... <wv> <ww>] minvert3
+ % [<uu'> <uv'> ... <wv'> <ww'>]
+ { 16 dict begin
+ aload pop { I H G F E D C B A } { exch def } forall
+ /coa E I mul F H mul sub def
+ /cob F G mul D I mul sub def
+ /coc D H mul E G mul sub def
+ /det A coa mul B cob mul add C coc mul add def
+ [ coa det div
+ C H mul B I mul sub det div
+ B F mul C E mul sub det div
+ cob det div
+ A I mul C G mul sub det div
+ C D mul A F mul sub det div
+ coc det div
+ B G mul A H mul sub det div
+ A E mul B D mul sub det div
+ ]
+ end
+ } bind def
+
+/print1
+ { print dup ==
+ } bind def
+
+/print3
+ { print 3 array astore dup == aload pop
+ } bind def
+
+% ---------------- Mapping to XYZ ---------------- %
+
+/csmap % <csdict> <l> <m> <n> csmap <csdict> <x> <y> <z>
+ { 3 index /RangeLMN .knownget not { r3default } if restrict3
+DEBUG { (After RangeLMN Decode: ) print3 } if
+ 3 index /DecodeLMN .knownget { apply3 } if
+DEBUG { (After DecodeLMN Decode: ) print3 } if
+ 3 index /MatrixLMN .knownget { mmult3 } if
+DEBUG { (After MatrixLMN Decode: ) print3 } if
+ } bind def
+
+/csciea % <csdict> <a> csciea <csdict> <x> <y> <z>
+ { 1 index /RangeA .knownget not { r1default } if restrict
+DEBUG { (After RangeA Decode: ) print1 } if
+ 1 index /DecodeA .knownget { exec } if
+DEBUG { (After DecodeA Decode: ) print1 } if
+ 1 index /MatrixA .knownget
+ { { 1 index mul exch } forall pop }
+ { dup dup }
+ ifelse
+DEBUG { (After MatrixA Decode: ) print3 } if
+ csmap
+ } bind def
+
+/cscieabc % <csdict> <a> <b> <c> cscieabc <csdict> <x> <y> <z>
+ { 3 index /RangeABC .knownget not { r3default } if restrict3
+DEBUG { (After RangeABC Decode: ) print3 } if
+ 3 index /DecodeABC .knownget { apply3 } if
+DEBUG { (After DecodeABC Decode: ) print3 } if
+ 3 index /MatrixABC .knownget { mmult3 } if
+DEBUG { (After MatrixABC Decode: ) print3 } if
+ csmap
+ } bind def
+
+% ---------------- Rendering from XYZ ---------------- %
+
+/lookup3 % <rtable> <a[0..1]> <b[0..1]> <c[0..1]> lookup3
+ % <rtable> <bytes>
+ { 3 -1 roll 3 index 0 get 1 sub mul
+ 3 -1 roll 3 index 1 get 1 sub mul
+ 3 -1 roll 3 index 2 get 1 sub mul
+ % Stack: rtable ia ib ic
+DEBUG { (RenderTable indices: ) print3 mark 5 1 roll } if
+ 3 -1 roll round cvi 3 index 3 get exch get
+ % Stack: rtable ib ic string
+ 3 -1 roll round cvi 3 index 2 get mul
+ % Stack: rtable ic string ib*nc
+ 3 -1 roll round cvi add 2 index 4 get mul
+ % Stack: rtable string index
+ 2 index 4 get getinterval
+ % Stack: rtable bytes
+DEBUG { (RenderTable values: ) print (<) print (%stdout) (w) file 1 index writehexstring (>) = } if
+ } bind def
+
+/bpdefault [0 0 0] def
+
+/crmap % <csdict> <crdict> <x> <y> <z> crmap <v1> ...
+ {
+DEBUG { (CIE XYZ = ) print3 } if
+ 3 index /MatrixPQR .knownget { mmult3 } if
+DEBUG { (After MatrixPQR: ) print3 } if
+ 4 index /WhitePoint get
+ 5 index /BlackPoint .knownget not { bpdefault } if
+ 5 index /WhitePoint get
+ 6 index /BlackPoint .knownget not { bpdefault } if
+ 4
+ { 4 -1 roll aload pop
+ % Stack: csdict crdict x y z pt pt pt px py pz
+ 3 copy 12 index /MatrixPQR .knownget { mmult3 } if 6 array astore
+ }
+ repeat
+ % Stack: csdict crdict x y z wps+ bps+ wpd+ bpd+
+ 9 -1 roll pop % get rid of csdict
+ 7 4 roll
+ 7 index /TransformPQR get
+ { % Stack: crdict wps+ bps+ wpd+ bpd+ u v w proc
+ 8 copy exch pop exch pop
+ exec exch pop 4 -1 roll pop
+ }
+ forall
+ 7 3 roll pop pop pop pop % get rid of White/BlackPoints
+DEBUG { (After TransformPQR: ) print3 } if
+ 3 index /MatrixPQR .knownget { minvert3 mmult3 } if
+DEBUG { (After MatrixPQR': ) print3 } if
+ 3 index /MatrixLMN .knownget { mmult3 } if
+DEBUG { (After MatrixLMN Encode: ) print3 } if
+ 3 index /EncodeLMN .knownget { apply3 } if
+DEBUG { (After EncodeLMN Encode: ) print3 } if
+ 3 index /RangeLMN .knownget not { r3default } if restrict3
+DEBUG { (After RangeLMN Encode: ) print3 } if
+ 3 index /MatrixABC .knownget { mmult3 } if
+DEBUG { (After MatrixABC Encode: ) print3 } if
+ 3 index /EncodeABC .knownget { apply3 } if
+DEBUG { (After EncodeABC Encode: ) print3 } if
+ 3 index /RangeABC .knownget not { r3default } if
+ 5 -1 roll /RenderTable .knownget
+ { % Stack: u v w ranges rtable
+ 5 1 roll rescale3
+DEBUG { (Rescaled ABC: ) print3 } if
+ % Stack: rtable a b c
+ lookup3
+ % Stack: rtable bytes
+ 0 1 3 index 4 get 1 sub
+ { % Stack: values rtable bytes c
+ 2 copy get 255 div
+ % Stack: values rtable bytes c v
+ 3 index 3 -1 roll 5 add get exec 3 1 roll
+ }
+ for pop pop
+DEBUG { (After RenderTableT: ) print ] dup == aload pop } if
+ }
+ { restrict3
+DEBUG { (After RangeABC Encode: ) print3 } if
+ }
+ ifelse
+ } bind def
+
+% ---------------- Top level control ---------------- %
+
+/mapdict mark
+ /CIEBasedA { 1 get exch csciea currentcolorrendering 4 1 roll crmap } bind
+ /CIEBasedABC { 1 get 4 1 roll cscieabc currentcolorrendering 4 1 roll crmap } bind
+.dicttomark def
+/mapcie % <a> mapcie <v1> ...
+ % <a> <b> <c> mapcie <v1> ...
+ { currentcolorspace dup 0 get //mapdict exch get exec
+ } bind def