| version 1.12, 2003/05/15 00:49:17 | version 1.19, 2003/08/23 02:28:38 | 
|  |  | 
| % $OpenXM: OpenXM/src/kan96xx/Kan/dr.sm1,v 1.11 2003/05/15 00:42:07 takayama Exp $ | % $OpenXM: OpenXM/src/kan96xx/Kan/dr.sm1,v 1.18 2003/08/20 01:39:16 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. | 
|  |  | 
|  |  | 
| ] putUsages | ] putUsages | 
| /ord_w_all { | /ord_w_all { | 
| /arg2 set /arg1 set | /arg2 set /arg1 set | 
| [/ord_w-in /fff /fff-in /www /rrr /iii /ddd /zzz] pushVariables | [/ord_w_all-in /fff /fff-in /www /rrr /iii /ddd /zzz /ddd-tmp] pushVariables | 
| [ | [ | 
| /fff arg1 def | /fff arg1 def | 
| /www arg2 def | /www arg2 def | 
| fff (0). eq { /ddd -intInfinity def /ord_w.LLL goto} { } ifelse | fff (0). eq { /ddd -intInfinity def /ord_w_all.LLL goto} { } ifelse | 
|  | /ddd -intInfinity def | 
| fff (ring) dc /rrr set | fff (ring) dc /rrr set | 
| /zzz (0) rrr ,, def | /zzz (0) rrr ,, def | 
| fff init /fff-in set | fff init /fff-in set | 
| fff fff-in sub /fff set | fff fff-in sub /fff set | 
| /ddd 0 def |  | 
| { | { | 
|  | /ddd-tmp 0 def | 
| 0 2 www length 1 sub { | 0 2 www length 1 sub { | 
| /iii set | /iii set | 
| fff-in << www iii get rrr ,, >> degree | fff-in << www iii get rrr ,, >> degree | 
| << www iii 1 add get >> mul | << www iii 1 add get >> mul | 
| ddd add /ddd set | ddd-tmp add /ddd-tmp set | 
| } for | } for | 
|  | ddd-tmp ddd gt { /ddd ddd-tmp def }  {  } ifelse | 
| fff zzz eq { exit } {  } ifelse | fff zzz eq { exit } {  } ifelse | 
| fff init /fff-in set | fff init /fff-in set | 
| fff fff-in sub /fff set | fff fff-in sub /fff set | 
| } loop | } loop | 
| /ord_w.LLL | /ord_w_all.LLL | 
| /arg1 ddd def | /arg1 ddd def | 
| ] pop | ] pop | 
| popVariables | popVariables | 
|  |  | 
| ]] putUsages | ]] putUsages | 
|  |  | 
| /cancelCoeff { | /cancelCoeff { | 
|  | /arg1 set | 
|  | [(reduceContent) arg1] gbext 0 get | 
|  | } def | 
|  | /cancelCoeff_org { | 
| /arg1 set | /arg1 set | 
| [/in-cancelCoeff /ff /gg /dd /dd2] pushVariables | [/in-cancelCoeff /ff /gg /dd /dd2] pushVariables | 
| [  /ff arg1 def | [  /ff arg1 def | 
| 
| Line 3725  $ [ff ff] fromVectors :: $ |  | 
| Line 3731  $ [ff ff] fromVectors :: $ |  | 
| popVariables | popVariables | 
| arg1 | arg1 | 
| } def | } def | 
|  |  | 
|  | [(execve) | 
|  | [ | 
|  | (command execve) | 
|  | ([arg0 arg1 arg2 ...] execve ) | 
|  | (It executes the command by the system call execve.) | 
|  | (cf. system, forkExec) | 
|  | ] | 
|  | ] putUsages | 
|  |  | 
|  | /execve { | 
|  | /execve.arg set | 
|  | [(forkExec) execve.arg [ ] 1] extension | 
|  | } def | 
|  |  | 
|  | [(beginEcart) | 
|  | [ | 
|  | (beginEcart) | 
|  | (Set the environments for the ecart division algorithm.) | 
|  | ] | 
|  | ] putUsages | 
|  |  | 
|  | /beginEcart { | 
|  | (red@) (ecart) switch_function | 
|  | [(Ecart) 1] system_variable | 
|  | [(CheckHomogenization) 0] system_variable | 
|  | [(ReduceLowerTerms) 0] system_variable | 
|  | [(AutoReduce) 0] system_variable | 
|  | [(EcartAutomaticHomogenization) 0] system_variable | 
|  | } def | 
|  |  | 
|  | [(endEcart) | 
|  | [ | 
|  | (endEcart) | 
|  | (End of using the ecart division algorithm.) | 
|  | ] | 
|  | ] putUsages | 
|  |  | 
|  | /endEcart { | 
|  | (red@) (standard) switch_function | 
|  | [(Ecart) 0] system_variable | 
|  | } def | 
|  |  | 
|  | /ord_ws_all { | 
|  | /arg2 set /arg1 set | 
|  | [(ord_ws_all) arg1 arg2] gbext | 
|  | } def | 
|  | [(ord_ws_all) | 
|  | [ | 
|  | (fv wv ord_ws_all degree) | 
|  | (  ord_ws_all returns the ord with respect to the weight vector wv.) | 
|  | $Example: [(x,y) ring_of_differential_operators 0] define_ring  $ | 
|  | $        (Dx^2+x*Dx*Dy+2). [(Dx) 1 (Dy) 1] weightv ord_ws_all ::  $ | 
|  | (  ) | 
|  | (fv [wv shiftv] ord_ws_all degree) | 
|  | (  ord_ws_all returns the ord with respect to the weight vector wv and) | 
|  | (  the shift vector shiftv.) | 
|  | $Example: [(x,y) ring_of_differential_operators 0] define_ring  $ | 
|  | $        [(Dx^2+x*Dx*Dy+2). (Dx).] [[(Dx) 1 (Dy) 1] weightv [0 2]] ord_ws_all ::$ | 
|  | (  ) | 
|  | (cf: init, gbext.   Obsolete: ord_w, ord_w_all) | 
|  | ] | 
|  | ] putUsages | 
|  |  | 
| ; | ; | 
|  |  |