=================================================================== RCS file: /home/cvs/OpenXM/src/kan96xx/Doc/hol.sm1,v retrieving revision 1.12 retrieving revision 1.14 diff -u -p -r1.12 -r1.14 --- OpenXM/src/kan96xx/Doc/hol.sm1 2003/07/05 01:53:32 1.12 +++ OpenXM/src/kan96xx/Doc/hol.sm1 2004/05/04 07:48:47 1.14 @@ -1,4 +1,4 @@ -% $OpenXM: OpenXM/src/kan96xx/Doc/hol.sm1,v 1.11 2003/06/26 08:14:45 takayama Exp $ +% $OpenXM: OpenXM/src/kan96xx/Doc/hol.sm1,v 1.13 2003/07/29 08:36:39 takayama Exp $ %% hol.sm1, 1998, 11/8, 11/10, 11/14, 11/25, 1999, 5/18, 6/5. 2000, 6/8 %% rank, rrank, characteristic %% This file is error clean. @@ -272,6 +272,9 @@ message-quiet /gb.v 1 def /gb.verbose 0 def /gb.options [ ] def +/gb.characteristic 0 def +/gb.homogenized 0 def +/gb.autoHomogenize 1 def /gb { /arg1 set [/in-gb /aa /typev /setarg /f /v @@ -350,25 +353,27 @@ message-quiet f gb.toMatrixOfString /f set /mm gb.itWasMatrix def - rr tag 0 eq { + rr tag 0 eq + v isInteger not + or { %% Define our own ring v isInteger { (Error in gb: Specify variables) error } { } ifelse wv isInteger { [v ring_of_differential_operators - 0] define_ring + gb.characteristic] define_ring /termorder 1 def }{ degreeShift isInteger { [v ring_of_differential_operators wv weight_vector - 0] define_ring + gb.characteristic] define_ring wv gb.isTermOrder /termorder set }{ [v ring_of_differential_operators wv weight_vector - 0 + gb.characteristic [(degreeShift) degreeShift] ] define_ring wv gb.isTermOrder /termorder set @@ -376,24 +381,26 @@ message-quiet } ifelse } { %% Use the ring structre given by the input. - v isInteger not { - gb.warning { - (Warning : the given ring definition is not used.) message - } { } ifelse - } { } ifelse rr ring_def /wv rr gb.getWeight def wv gb.isTermOrder /termorder set } ifelse %%% Enf of the preprocess + termorder { + /gb.homogenized 0 def + }{ + /gb.homogenized 1 def + } ifelse gb.verbose { (gb.options = ) messagen gb.options message } { } ifelse termorder { - f { {. dehomogenize} map } map /f set + f { {,,, dehomogenize} map } map /f set [f gb.options] groebner_sugar 0 get /gg set }{ - f { {. dehomogenize} map} map /f set - f fromVectors { homogenize } map /f set + f { {,,, dehomogenize} map} map /f set + gb.autoHomogenize { + f fromVectors { homogenize } map /f set + } { } ifelse [f gb.options] groebner 0 get /gg set }ifelse wv isInteger { @@ -477,12 +484,12 @@ message-quiet } { } ifelse wv isInteger { [v ring_of_polynomials - 0] define_ring + gb.characteristic] define_ring /termorder 1 def }{ [v ring_of_polynomials wv weight_vector - 0] define_ring + gb.characteristic] define_ring wv gb.isTermOrder /termorder set } ifelse } { @@ -754,6 +761,8 @@ message-quiet (a : [f v w ds]; array f; string v; array of array w; w is the weight matirx.) ( array ds; ds is the degree shift ) ( ) + (gb.authoHomogenize 1 [default]) + ( ) $Example 1: [ [( (x Dx)^2 + (y Dy)^2 -1) ( x y Dx Dy -1)] (x,y) $ $ [ [ (Dx) 1 ] ] ] gb pmat ; $ (Example 2: )