===================================================================
RCS file: /home/cvs/OpenXM/src/kan96xx/Doc/hol.sm1,v
retrieving revision 1.8
retrieving revision 1.11
diff -u -p -r1.8 -r1.11
--- OpenXM/src/kan96xx/Doc/hol.sm1	2000/08/01 05:53:18	1.8
+++ OpenXM/src/kan96xx/Doc/hol.sm1	2003/06/26 08:14:45	1.11
@@ -1,4 +1,4 @@
-% $OpenXM: OpenXM/src/kan96xx/Doc/hol.sm1,v 1.7 2000/06/12 08:03:56 takayama Exp $
+% $OpenXM: OpenXM/src/kan96xx/Doc/hol.sm1,v 1.10 2001/01/04 12:29:33 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.
@@ -276,6 +276,7 @@ message-quiet
   /arg1 set
   [/in-gb /aa /typev /setarg /f /v 
    /gg /wv /termorder /vec /ans /rr /mm
+   /degreeShift
   ] pushVariables 
   [(CurrentRingp) (KanGBmessage)] pushEnv
   [
@@ -284,6 +285,7 @@ message-quiet
     aa isArray { } { ( << array >> gb) error } ifelse
     /setarg 0 def
     /wv 0 def
+    /degreeShift 0 def
     aa { tag } map /typev set
     typev [ ArrayP ] eq
     {  /f aa 0 get def
@@ -295,6 +297,11 @@ message-quiet
        /v aa 1 get def
        /setarg 1 def
     } { } ifelse
+    typev [ArrayP RingP] eq
+    {  /f aa 0 get def
+       /v aa 1 get def
+       /setarg 1 def
+    } { } ifelse
     typev [ArrayP ArrayP] eq
     {  /f aa 0 get def
        /v aa 1 get from_records def
@@ -312,13 +319,31 @@ message-quiet
        /wv aa 2 get def
        /setarg 1 def
     } { } ifelse
+    typev [ArrayP StringP ArrayP ArrayP] eq
+    {  /f aa 0 get def
+       /v aa 1 get def
+       /wv aa 2 get def
+       /degreeShift aa 3 get def
+       /setarg 1 def
+    } { } ifelse
+    typev [ArrayP ArrayP ArrayP ArrayP] eq
+    {  /f aa 0 get def
+       /v aa 1 get from_records def
+       /wv aa 2 get def
+       /degreeShift aa 3 get def
+       /setarg 1 def
+    } { } ifelse
 
     setarg { } { (gb : Argument mismatch) error } ifelse
     
     [(KanGBmessage) gb.verbose ] system_variable
 
     %%% Start of the preprocess
-    f getRing /rr set
+    v tag RingP eq {
+       /rr v def 
+    }{
+      f getRing /rr set
+    } ifelse
     %% To the normal form : matrix expression.
     f gb.toMatrixOfString /f set
     /mm gb.itWasMatrix def
@@ -333,10 +358,19 @@ message-quiet
         0] define_ring
         /termorder 1 def
       }{
-        [v ring_of_differential_operators 
-         wv weight_vector
-        0] define_ring
-        wv gb.isTermOrder /termorder set
+       degreeShift isInteger {
+         [v ring_of_differential_operators 
+          wv weight_vector
+         0] define_ring
+         wv gb.isTermOrder /termorder set
+       }{
+         [v ring_of_differential_operators 
+          wv weight_vector
+          0
+          [(degreeShift) degreeShift]
+          ] define_ring
+         wv gb.isTermOrder /termorder set
+       } ifelse
       } ifelse
     } {
       %% Use the ring structre given by the input.
@@ -714,6 +748,8 @@ message-quiet
   (a : [f ];    array f;  f is a set of generators of an ideal in a ring.)
   (a : [f v];   array f; string v;  v is the variables. )
   (a : [f v w]; array f; string v; array of array w; w is the weight matirx.)
+  (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 )
   (  )
   $Example 1: [ [( (x Dx)^2 + (y Dy)^2 -1) ( x y Dx Dy -1)] (x,y) $
   $             [ [ (Dx) 1 ] ] ] gb pmat ; $
@@ -775,6 +811,11 @@ message-quiet
        /v aa 1 get def
        /setarg 1 def
     } { } ifelse
+    typev [ArrayP RingP] eq
+    {  /f aa 0 get def
+       /v aa 1 get def
+       /setarg 1 def
+    } { } ifelse
     typev [ArrayP ArrayP] eq
     {  /f aa 0 get def
        /v aa 1 get from_records def
@@ -786,6 +827,12 @@ message-quiet
        /wv aa 2 get def
        /setarg 1 def
     } { } ifelse
+    typev [ArrayP RingP ArrayP] eq
+    {  /f aa 0 get def
+       /v aa 1 get def
+       /wv aa 2 get def
+       /setarg 1 def
+    } { } ifelse
     typev [ArrayP ArrayP ArrayP] eq
     {  /f aa 0 get def
        /v aa 1 get from_records def
@@ -800,7 +847,11 @@ message-quiet
 
 
     %%% Start of the preprocess
-    f getRing /rr set
+    v tag RingP eq {
+      /rr v def
+    }{
+       f getRing /rr set
+    } ifelse
     %% To the normal form : matrix expression.
     f gb.toMatrixOfString /f set
     /mm gb.itWasMatrix def
@@ -870,6 +921,7 @@ message-quiet
   (a : [f ];    array f;  f is a set of generators of an ideal in a ring.)
   (a : [f v];   array f; string v;  v is the variables.)
   (a : [f v w]; array f; string v; array of array w; w is the weight matirx.)
+  ( v may be a ring object. )
   $Example 1: [(x,y) ring_of_polynomials 0] define_ring $
   $           [ [(x^2+y^2-4). (x y -1).] ] syz :: $
   $Example 2: [ [(x^2+y^2) (x y)]   (x,y)  [ [(x) -1 (y) -1] ] ] syz :: $
@@ -1323,6 +1375,11 @@ message-quiet
        /v aa 1 get def
        /setarg 1 def
     } { } ifelse
+    typev [ArrayP RingP] eq
+    {  /f aa 0 get def
+       /v aa 1 get def
+       /setarg 1 def
+    } { } ifelse
     typev [ArrayP ArrayP] eq
     {  /f aa 0 get def
        /v aa 1 get from_records def
@@ -1346,7 +1403,11 @@ message-quiet
     [(KanGBmessage) gb.verbose ] system_variable
 
     %%% Start of the preprocess
-    f getRing /rr set
+    v tag RingP eq {
+      /rr v def
+    }{
+      f getRing /rr set
+    } ifelse
     %% To the normal form : matrix expression.
     f gb.toMatrixOfString /f set
     /mm gb.itWasMatrix def
@@ -1429,6 +1490,7 @@ message-quiet
   $ [(Homogenize_vec) 0] system_variable (grade) (module1v) switch_function$ 
   (a : [f ];    array f;  f is a set of generators of an ideal in a ring.)
   (a : [f v];   array f; string v;  v is the variables. )
+  (a : [f r];   array f; ring r )
   (a : [f v w]; array f; string v; array of array w; w is the weight matirx.)
   (  )
   $Example 1: [ [( (x Dx)^2 + (y Dy)^2 -h^4) ( x y Dx Dy -h^4)] (x,y) $
@@ -1471,6 +1533,11 @@ message-quiet
        /v aa 1 get def
        /setarg 1 def
     } { } ifelse
+    typev [ArrayP RingP] eq
+    {  /f aa 0 get def
+       /v aa 1 get def
+       /setarg 1 def
+    } { } ifelse
     typev [ArrayP ArrayP] eq
     {  /f aa 0 get def
        /v aa 1 get from_records def
@@ -1496,7 +1563,11 @@ message-quiet
 
 
     %%% Start of the preprocess
-    f getRing /rr set
+    v tag RingP eq {
+       /rr v def 
+    }{
+      f getRing /rr set
+    } ifelse
     %% To the normal form : matrix expression.
     f gb.toMatrixOfString /f set
     /mm gb.itWasMatrix def
@@ -1580,6 +1651,7 @@ message-quiet
   $ [(Homogenize_vec) 0] system_variable (grade) (module1v) switch_function$ 
   (a : [f ];    array f;  f is a set of generators of an ideal in a ring.)
   (a : [f v];   array f; string v;  v is the variables.)
+  (a : [f r];   array f; ring r )
   (a : [f v w]; array f; string v; array of array w; w is the weight matirx.)
   $Example 1: [ [( (x Dx)^2 + (y Dy)^2 -h^4) ( x y Dx Dy -h^4)] (x,y) $
   $             [ [ (Dx) 1 ] ] ] syz_h pmat ; $