version 1.42, 2004/09/14 02:13:29 |
version 1.54, 2013/01/26 10:48:26 |
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% $OpenXM: OpenXM/src/kan96xx/Kan/dr.sm1,v 1.41 2004/09/14 02:02:02 takayama Exp $ |
% $OpenXM: OpenXM/src/kan96xx/Kan/dr.sm1,v 1.53 2006/02/04 02:44:39 takayama Exp $ |
%% dr.sm1 (Define Ring) 1994/9/25, 26 |
%% dr.sm1 (Define Ring) 1994/9/25, 26 |
%% This file is error clean. |
%% This file is error clean. |
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(one may use the command ) |
(one may use the command ) |
( f (ring) data_conversion /R set) |
( f (ring) data_conversion /R set) |
(cf. define_ring, define_qring, system_variable, poly (ring) data_conversion) |
(cf. define_ring, define_qring, system_variable, poly (ring) data_conversion) |
(cf. << __ >>) |
(cf. << __ >>, getRing) |
] |
] |
] putUsages |
] putUsages |
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(type?) data_conversion RingP eq |
(type?) data_conversion RingP eq |
} def |
} def |
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[(isByteArray) |
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[(obj isByteArray bool) ] |
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] putUsages |
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/isByteArray { |
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(type?) data_conversion ByteArrayP eq |
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} def |
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/toString.tmp { |
/toString.tmp { |
/arg1 set |
/arg1 set |
[/obj /fname] pushVariables |
[/obj /fname] pushVariables |
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{ obj (string) data_conversion } { } ifelse |
{ obj (string) data_conversion } { } ifelse |
obj isRational |
obj isRational |
{ obj (string) data_conversion } { } ifelse |
{ obj (string) data_conversion } { } ifelse |
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obj isByteArray |
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{ obj (array) data_conversion toString } { } ifelse |
obj tag 0 eq |
obj tag 0 eq |
{ (null) } { } ifelse |
{ (null) } { } ifelse |
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/RationalFunctionP 16 def |
/RationalFunctionP 16 def |
/ClassP 17 def |
/ClassP 17 def |
/DoubleP 18 def |
/DoubleP 18 def |
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/ByteArrayP 19 def |
/@.datatypeConstant.usage [ |
/@.datatypeConstant.usage [ |
(IntegerP, LiteralP, StringP, ExecutableArrayP, ArrayP, PolyP, FileP, RingP,) |
(IntegerP, LiteralP, StringP, ExecutableArrayP, ArrayP, PolyP, FileP, RingP,) |
(UniversalNumberP, RationalFunctionP, ClassP, DoubleP) |
(UniversalNumberP, RationalFunctionP, ClassP, DoubleP, ByteArrayP) |
( return data type identifiers.) |
( return data type identifiers.) |
(Example: 7 tag IntegerP eq ---> 1) |
(Example: 7 tag IntegerP eq ---> 1) |
] def |
] def |
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[(RationalFunctionP) @.datatypeConstant.usage ] putUsages |
[(RationalFunctionP) @.datatypeConstant.usage ] putUsages |
[(ClassP) @.datatypeConstant.usage ] putUsages |
[(ClassP) @.datatypeConstant.usage ] putUsages |
[(DoubleP) @.datatypeConstant.usage ] putUsages |
[(DoubleP) @.datatypeConstant.usage ] putUsages |
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[(ByteArrayP) @.datatypeConstant.usage ] putUsages |
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[(__) |
[(__) |
[( string ring __ polynomial) |
[( string ring __ polynomial) |
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[( string .. universalNumber) |
[( string .. universalNumber) |
(Parse the << string >> as a universalNumber.) |
(Parse the << string >> as a universalNumber.) |
(Example: (123431232123123).. /n set) |
(Example: (123431232123123).. /n set) |
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({ commands }.. executes the commands. << .. >> is equivalent to exec.) |
]] putUsages |
]] putUsages |
/.. { (universalNumber) data_conversion } def |
/.. { dup tag 3 eq { exec } { (universalNumber) data_conversion} ifelse } def |
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[(dc) |
[(dc) |
[(Abbreviation of data_conversion.) |
[(Abbreviation of data_conversion.) |
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} def |
} def |
[(getRing) |
[(getRing) |
[(obj getRing rr) |
[(obj getRing rr) |
(ring rr;) |
(ring rr; ) |
(getRing obtains the ring structure from obj.) |
(getRing obtains the ring structure from obj.) |
(If obj is a polynomial, it returns the ring structure associated to) |
(If obj is a polynomial, it returns the ring structure associated to) |
(the polynomial.) |
(the polynomial.) |
(If obj is an array, it recursively looks for the ring structure.) |
(If obj is an array, it recursively looks for the ring structure.) |
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(cf. ring_def) |
]] putUsages |
]] putUsages |
/toVectors { |
/toVectors { |
/arg1 set |
/arg1 set |
Line 4153 $ [ff ff] fromVectors :: $ |
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Line 4166 $ [ff ff] fromVectors :: $ |
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/getNode { |
/getNode { |
/arg2 set |
/arg2 set |
/arg1 set |
/arg1 set |
[/in-getNode /ob /key /rr /rr /ii] pushVariables |
[/in-getNode /ob /key /rr /tt /ii] pushVariables |
[ |
[ |
/ob arg1 def |
/ob arg1 def |
/key arg2 def |
/key arg2 def |
/rr null def |
/rr null def |
{ |
{ |
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ob isArray { |
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ob length 1 gt { |
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ob 0 get isString { |
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ob 0 get , key eq { |
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/rr ob 1 get def exit |
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} { } ifelse |
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} { } ifelse |
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}{ } ifelse |
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ob { key getNode , dup tag 0 eq {pop} { } ifelse } map /tt set |
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tt length 0 gt { /rr tt 0 get def exit } |
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{/rr null def exit } ifelse |
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} { } ifelse |
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ob isClass { |
ob isClass { |
ob (array) dc /ob set |
ob (array) dc /ob set |
} { exit } ifelse |
} { } ifelse |
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ob isClass , ob isArray or { } { exit } ifelse |
ob 0 get key eq { |
ob 0 get key eq { |
/rr ob def |
/rr ob def |
exit |
exit |
Line 4180 $ [ff ff] fromVectors :: $ |
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Line 4207 $ [ff ff] fromVectors :: $ |
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arg1 |
arg1 |
} def |
} def |
[(getNode) |
[(getNode) |
[(ob key getNode) |
[(ob key getNode node-value) |
(ob is a class object.) |
(ob is a class object or an array.) |
(The operator getNode returns the node with the key in ob.) |
(The operator getNode returns the node with the key in ob.) |
(The node is an array of the format [key attr-list node-list]) |
(When ob is a class, the node is an array of the format [key attr-list node-list]) |
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(When ob is an array, the node is a value of key-value pairs.) |
(Example:) |
(Example:) |
( /dog [(dog) [[(legs) 4] ] [ ]] [(class) (tree)] dc def) |
( /dog [(dog) [[(legs) 4] ] [ ]] [(class) (tree)] dc def) |
( /man [(man) [[(legs) 2] ] [ ]] [(class) (tree)] dc def) |
( /man [(man) [[(legs) 2] ] [ ]] [(class) (tree)] dc def) |
( /ma [(mammal) [ ] [man dog]] [(class) (tree)] dc def) |
( /ma [(mammal) [ ] [man dog]] [(class) (tree)] dc def) |
( ma (dog) getNode ) |
( ma (dog) getNode ) |
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(Example 2:) |
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( [ [1 ] [2 3] [[(dog) 2]]] (dog) getNode ::) |
]] putUsages |
]] putUsages |
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/cons { |
/cons { |
Line 4254 $ [ff ff] fromVectors :: $ |
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Line 4284 $ [ff ff] fromVectors :: $ |
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[(list listToArray a) |
[(list listToArray a) |
]] putUsages |
]] putUsages |
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/makeInfix { |
% Body is moved to smacro.sm1 |
[(or_attr) 4 4 -1 roll ] extension |
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} def |
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[(makeInfix) |
[(makeInfix) |
[(literal makeInfix) |
[(literal makeInfix) |
(Change literal to an infix operator.) |
(Change literal to an infix operator.) |
Line 4345 $ [ff ff] fromVectors :: $ |
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Line 4373 $ [ff ff] fromVectors :: $ |
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[(a b setMinus c) |
[(a b setMinus c) |
]] putUsages |
]] putUsages |
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% Define some infix operators |
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/~add~ { add } def /~add~ makeInfix |
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/~sub~ { sub } def /~sub~ makeInfix |
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/~mul~ { mul } def /~mul~ makeInfix |
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/~div~ { div } def /~div~ makeInfix |
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/~power~ { power } def /~power~ makeInfix |
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/~put~ { |
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dup tag 3 eq { exec } { } ifelse put |
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} def |
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/~put~ makeInfix |
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/toTokensBySpace { |
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/arg1 set |
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[(cgiToTokens) arg1 [ ]] extension |
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} def |
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[(toTokensBySpace) |
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[ |
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( string toTokensBySpace token_array ) |
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]] putUsages |
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/setAttributeList { |
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/arg2 set |
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/arg1 set |
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[ |
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[(setAttributeList) arg1 arg2] extension /arg1 set |
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] pop |
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arg1 |
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} def |
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/getAttributeList { |
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/arg1 set |
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[(getAttributeList) arg1] extension |
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} def |
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/setAttribute { |
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/arg3 set |
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/arg2 set |
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/arg1 set |
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[ |
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[(setAttribute) arg1 arg2 arg3] extension /arg1 set |
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] pop |
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arg1 |
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} def |
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/getAttribute { |
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/arg2 set |
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/arg1 set |
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[(getAttribute) arg1 arg2] extension |
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} def |
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[(setAttributeList) |
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[ |
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(ob attr setAttributeList new-obj ) |
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(Example: [(x-1) (y-1)] [(gb) 1] setAttributeList /ff set ) |
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]] putUsages |
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[(setAttribute) |
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[ |
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(ob key value setAttribute new-obj ) |
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(Example: [(x-1) (y-1)] (gb) 1 setAttribute /ff set ) |
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]] putUsages |
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[(getAttributeList) |
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[ |
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(ob getAttributeList attr-obj ) |
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(Example: [(x-1) (y-1)] [(gb) 1] setAttributeList /ff set ) |
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( ff getAttributeList :: ) |
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]] putUsages |
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[(getAttribute) |
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[ |
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(ob key getAttribute value ) |
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(Example: [(x-1) (y-1)] (gb) 1 setAttribute /ff set ) |
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( ff (gb) getAttribute :: ) |
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]] putUsages |
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% [(gbCheck) 1 (needSyz) 1 (countDown) 100] (attribute format) |
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% --> [(gbCheck) (needSyz) (countDown) 100] (groebner option format) |
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% cf. gb |
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/configureGroebnerOption { |
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/arg1 set |
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[/opt /i] pushVariables |
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[ |
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/opt arg1 def |
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opt tag 0 eq { |
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/arg1 null def |
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} { |
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[ |
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0 2 opt length 1 sub { |
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/i set |
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opt i get |
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opt i get (countDown) eq { |
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opt i 1 add get |
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} { } ifelse |
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opt i get (stopDegree) eq { |
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opt i 1 add get |
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} { } ifelse |
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} for |
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] /arg1 set |
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} ifelse |
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] pop |
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popVariables |
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arg1 |
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} def |
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[(getFileType) |
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[ |
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(string getFileType type) |
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$Example: (/www/prog/cohom.sm1) getFileType ==> (sm1)$ |
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]] putUsages |
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/getFileType { |
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/arg1 set |
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[/ss ] pushVariables |
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[ /ss arg1 def |
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[(stringToArgv2) ss (.)] extension /ss set |
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ss, ss length 1 sub, get /arg1 set |
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] pop |
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popVariables |
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arg1 |
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} def |
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% Default initial value. |
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/localizedString.file null def |
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/localizedString.dic [ ] def |
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/localizedString.local { } def |
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% Clear and load |
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/localizedString.load { |
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/localizedString.dic [ ] def |
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/localizedString.local { } def |
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localizedString.file tag 0 eq { } |
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{ [(parse) localizedString.file pushfile] extension pop } ifelse |
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} def |
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[(localizedString) |
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[ |
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(string localizedString translatedString) |
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(It returns localizedString if localizedString.dic [array] and) |
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(localizedString.local [function] are set.) |
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] |
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] putUsages |
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/localizedString { |
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/arg1 set |
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[/ss /ans /tt] pushVariables |
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[ |
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arg1 /ss set |
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/ans ss def |
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{ |
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localizedString.dic length 0 eq { exit } { } ifelse |
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localizedString.dic ss getNode /tt set |
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tt tag 0 eq { } { tt /ans set exit } ifelse |
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ss localizedString.local /ans set |
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exit |
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} loop |
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ans /arg1 set |
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] pop |
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popVariables |
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arg1 |
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} def |
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[(univ2poly) |
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[(list univ2poly list2) |
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(Change universal numbers in list to an element of a ring of polynomials) |
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(defined by other elements in list. If there is no polynomial element,) |
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(the current ring is used.) |
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]] putUsages |
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/univ2poly { |
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/arg1 set |
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[/aa /rg /ag /ans] pushVariables |
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[ |
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arg1 /aa set |
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[(CurrentRingp)] system_variable /rg set |
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aa getRing /ag set |
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ag tag 0 { } { |
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ag ring_def |
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} ifelse |
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aa univ2poly.aux /ans set |
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rg ring_def |
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ans /arg1 set |
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] pop |
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popVariables |
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arg1 |
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} def |
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/univ2poly.aux { |
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/arg1 set |
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[/aa /ans] pushVariables |
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[ |
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arg1 /aa set |
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aa getRing |
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aa tag 6 eq { |
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aa { univ2poly.aux} map /ans set |
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}{ |
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aa tag 15 eq, aa tag 1 eq, or { aa toString . /ans set } { |
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aa /ans set |
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} ifelse |
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} ifelse |
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ans /arg1 set |
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] pop |
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popVariables |
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arg1 |
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} def |
; |
; |
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