version 1.11, 2003/05/15 00:42:07 |
version 1.20, 2003/08/24 05:19:42 |
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% $OpenXM: OpenXM/src/kan96xx/Kan/dr.sm1,v 1.10 2002/11/08 14:18:01 takayama Exp $ |
% $OpenXM: OpenXM/src/kan96xx/Kan/dr.sm1,v 1.19 2003/08/23 02:28:38 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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arg1 |
arg1 |
} def |
} def |
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[(ord_w_all) |
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[(ff [v1 w1 v2 w2 ... vm wm] ord_w d) |
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(poly ff; string v1; integer w1; ...) |
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(order of ff by the weight vector [w1 w2 ...]) |
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(Example: [(x,y,t) ring_of_polynomials 0] define_ring ) |
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( (x^2 y^3-x-t). [(t) 1 ] ord_w_all ::) |
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] |
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] putUsages |
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/ord_w_all { |
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/arg2 set /arg1 set |
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[/ord_w_all-in /fff /fff-in /www /rrr /iii /ddd /zzz /ddd-tmp] pushVariables |
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[ |
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/fff arg1 def |
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/www arg2 def |
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fff (0). eq { /ddd -intInfinity def /ord_w_all.LLL goto} { } ifelse |
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/ddd -intInfinity def |
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fff (ring) dc /rrr set |
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/zzz (0) rrr ,, def |
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fff init /fff-in set |
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fff fff-in sub /fff set |
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{ |
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/ddd-tmp 0 def |
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0 2 www length 1 sub { |
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/iii set |
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fff-in << www iii get rrr ,, >> degree |
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<< www iii 1 add get >> mul |
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ddd-tmp add /ddd-tmp set |
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} for |
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ddd-tmp ddd gt { /ddd ddd-tmp def } { } ifelse |
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fff zzz eq { exit } { } ifelse |
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fff init /fff-in set |
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fff fff-in sub /fff set |
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} loop |
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/ord_w_all.LLL |
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/arg1 ddd def |
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] pop |
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popVariables |
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arg1 |
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} def |
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[(laplace0) |
[(laplace0) |
[ |
[ |
(f [v1 ... vn] laplace0 g) |
(f [v1 ... vn] laplace0 g) |
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]] putUsages |
]] putUsages |
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/cancelCoeff { |
/cancelCoeff { |
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/arg1 set |
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[(reduceContent) arg1] gbext 0 get |
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} def |
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/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 3687 $ [ff ff] fromVectors :: $ |
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Line 3731 $ [ff ff] fromVectors :: $ |
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popVariables |
popVariables |
arg1 |
arg1 |
} def |
} def |
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[(execve) |
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[ |
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(command execve) |
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([arg0 arg1 arg2 ...] execve ) |
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(It executes the command by the system call execve.) |
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(cf. system, forkExec) |
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] |
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] putUsages |
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/execve { |
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/execve.arg set |
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[(forkExec) execve.arg [ ] 1] extension |
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} def |
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[(beginEcart) |
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[ |
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(beginEcart) |
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(Set the environments for the ecart division algorithm.) |
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] |
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] putUsages |
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/beginEcart { |
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(red@) (ecart) switch_function |
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[(Ecart) 1] system_variable |
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[(CheckHomogenization) 0] system_variable |
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[(ReduceLowerTerms) 0] system_variable |
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[(AutoReduce) 0] system_variable |
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[(EcartAutomaticHomogenization) 0] system_variable |
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} def |
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[(endEcart) |
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[ |
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(endEcart) |
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(End of using the ecart division algorithm.) |
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] |
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] putUsages |
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/endEcart { |
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(red@) (standard) switch_function |
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[(Ecart) 0] system_variable |
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[(degreeShift) (reset)] homonigeze pop |
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} def |
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/ord_ws_all { |
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/arg2 set /arg1 set |
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[(ord_ws_all) arg1 arg2] gbext |
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} def |
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[(ord_ws_all) |
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[ |
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(fv wv ord_ws_all degree) |
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( ord_ws_all returns the ord with respect to the weight vector wv.) |
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$Example: [(x,y) ring_of_differential_operators 0] define_ring $ |
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$ (Dx^2+x*Dx*Dy+2). [(Dx) 1 (Dy) 1] weightv ord_ws_all :: $ |
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( ) |
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(fv [wv shiftv] ord_ws_all degree) |
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( ord_ws_all returns the ord with respect to the weight vector wv and) |
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( the shift vector shiftv.) |
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$Example: [(x,y) ring_of_differential_operators 0] define_ring $ |
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$ [(Dx^2+x*Dx*Dy+2). (Dx).] [[(Dx) 1 (Dy) 1] weightv [0 2]] ord_ws_all ::$ |
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( ) |
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(cf: init, gbext. Obsolete: ord_w, ord_w_all) |
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] |
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] putUsages |
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; |
; |
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