| version 1.6, 2000/05/06 07:58:37 |
version 1.9, 2000/05/06 13:41:12 |
|
|
| /* $OpenXM: OpenXM/src/k097/lib/minimal/minimal.k,v 1.5 2000/05/05 08:13:49 takayama Exp $ */ |
/* $OpenXM: OpenXM/src/k097/lib/minimal/minimal.k,v 1.8 2000/05/06 10:45:43 takayama Exp $ */ |
| #define DEBUG 1 |
#define DEBUG 1 |
| /* #define ORDINARY 1 */ |
/* #define ORDINARY 1 */ |
| /* If you run this program on openxm version 1.1.2 (FreeBSD), |
/* If you run this program on openxm version 1.1.2 (FreeBSD), |
| Line 37 def load_tower() { |
|
| Line 37 def load_tower() { |
|
| sm1(" [(parse) (k0-tower.sm1) pushfile ] extension "); |
sm1(" [(parse) (k0-tower.sm1) pushfile ] extension "); |
| sm1(" /k0-tower.sm1.loaded 1 def "); |
sm1(" /k0-tower.sm1.loaded 1 def "); |
| } |
} |
| |
sm1(" oxNoX "); |
| } |
} |
| load_tower(); |
load_tower(); |
| SonAutoReduce = true; |
SonAutoReduce = true; |
| Line 1152 def Sschreyer(g) { |
|
| Line 1153 def Sschreyer(g) { |
|
| /* i must be equal to f[2], I think. Double check. */ |
/* i must be equal to f[2], I think. Double check. */ |
| |
|
| /* Correction Of Constant */ |
/* Correction Of Constant */ |
| c2 = -f[6]; /* or f[6]? Double check. */ |
/* Correction of syzygy */ |
| |
c2 = f[6]; /* or -f[6]? Double check. */ |
| |
Print("c2="); Println(c2); |
| nn = Length(bases); |
nn = Length(bases); |
| for (ii=0; ii<nn;ii++) { |
for (ii=0; ii<nn;ii++) { |
| if ((ii != place) && (! IsNull(bases[ii]))) { |
if ((ii != i) && (! IsNull(bases[ii]))) { |
| bases[ii] = bases[ii]*c2; |
m = Length(bases[ii]); |
| |
for (jj=0; jj<m; jj++) { |
| |
if (jj != place) { |
| |
bases[ii,jj] = bases[ii,jj]*c2; |
| |
} |
| |
} |
| } |
} |
| } |
} |
| |
|
| |
Print("Old freeRes[level] = "); sm1_pmat(freeRes[level]); |
| freeRes[level] = bases; |
freeRes[level] = bases; |
| |
Print("New freeRes[level] = "); sm1_pmat(freeRes[level]); |
| |
|
| /* Update the freeRes[level-1] */ |
/* Update the freeRes[level-1] */ |
| |
Print("Old freeRes[level-1] = "); sm1_pmat(freeRes[level-1]); |
| bases = freeRes[level-1]; |
bases = freeRes[level-1]; |
| bases[place] = f[0]; |
bases[place] = f[0]; |
| freeRes[level-1] = bases; |
freeRes[level-1] = bases; |
| |
Print("New freeRes[level-1] = "); sm1_pmat(freeRes[level-1]); |
| |
|
| reducer[level-1,place] = f[1]; |
reducer[level-1,place] = f[1]-SunitOfFormat(place,f[1]); |
| |
/* This reducer is different from that of SlaScala(). */ |
| |
|
| |
reducerBasis = reducer[level-1]; |
| |
nn = Length(reducerBasis); |
| |
for (ii=0; ii<nn;ii++) { |
| |
if ((ii != place) && (! IsNull(reducerBasis[ii]))) { |
| |
m = Length(reducerBasis[ii]); |
| |
for (jj=0; jj<m; jj++) { |
| |
if (jj != place) { |
| |
reducerBasis[ii,jj] = reducerBasis[ii,jj]*c2; |
| |
} |
| |
} |
| |
} |
| |
} |
| |
reducer[level-1] = reducerBasis; |
| |
|
| }else{ |
}else{ |
| /* redundantTable[level,i] = 0; */ |
/* redundantTable[level,i] = 0; */ |
| bases = freeRes[level]; |
bases = freeRes[level]; |
| Line 1182 def Sschreyer(g) { |
|
| Line 1210 def Sschreyer(g) { |
|
| if (level >= 1) { |
if (level >= 1) { |
| Println(" "); |
Println(" "); |
| Print("Triangulating reducer at level "); Println(level-1); |
Print("Triangulating reducer at level "); Println(level-1); |
| |
Println("freeRes[level]="); sm1_pmat(freeRes[level]); |
| reducerBase = reducer[level-1]; |
reducerBase = reducer[level-1]; |
| Print("reducerBase="); Println(reducerBase); |
Print("reducerBase="); Println(reducerBase); |
| |
Println("Compare freeRes[level] and reducerBase (put -1)"); |
| m = Length(reducerBase); |
m = Length(reducerBase); |
| for (ii=m-1; ii>=0; ii--) { |
for (ii=m-1; ii>=0; ii--) { |
| if (!IsNull(reducerBase[ii])) { |
if (!IsNull(reducerBase[ii])) { |
| for (jj=ii-1; jj>=0; jj--) { |
for (jj=ii-1; jj>=0; jj--) { |
| if (!IsNull(reducerBase[jj])) { |
if (!IsNull(reducerBase[jj])) { |
| if (!IsZero(reducerBase[jj,ii])) { |
if (!IsZero(reducerBase[jj,ii])) { |
| reducerBase[jj] = reducerBase[jj]-reducerBase[jj,ii]*reducerBase[ii]; |
/* reducerBase[ii,ii] should be always constant. */ |
| |
reducerBase[jj] = reducerBase[ii,ii]*reducerBase[jj]-reducerBase[jj,ii]*reducerBase[ii]; |
| } |
} |
| } |
} |
| } |
} |
| Line 1337 def Sminimal_v(g) { |
|
| Line 1368 def Sminimal_v(g) { |
|
| if (level < maxLevel-1) { |
if (level < maxLevel-1) { |
| bases = freeRes[level+1]; |
bases = freeRes[level+1]; |
| dr = reducer[level,q]; |
dr = reducer[level,q]; |
| dr[q] = -1; |
/* dr[q] = -1; We do not need this in our reducer format. */ |
| |
/* dr[q] should be a non-zero constant. */ |
| newbases = SnewArrayOfFormat(bases); |
newbases = SnewArrayOfFormat(bases); |
| betti_levelplus = Length(bases); |
betti_levelplus = Length(bases); |
| /* |
/* |
| bases[i,j] ---> bases[i,j]+bases[i,q]*dr[j] |
bases[i,j] ---> bases[i,j]+bases[i,q]*dr[j] |
| */ |
*/ |
| for (i=0; i<betti_levelplus; i++) { |
for (i=0; i<betti_levelplus; i++) { |
| newbases[i] = bases[i] + bases[i,q]*dr; |
newbases[i] = dr[q]*bases[i] - bases[i,q]*dr; |
| } |
} |
| Println(["level, q =", level,q]); |
Println(["level, q =", level,q]); |
| Println("bases="); sm1_pmat(bases); |
Println("bases="); sm1_pmat(bases); |
| Line 1353 def Sminimal_v(g) { |
|
| Line 1385 def Sminimal_v(g) { |
|
| minRes[level+1] = newbases; |
minRes[level+1] = newbases; |
| freeRes = minRes; |
freeRes = minRes; |
| #ifdef DEBUG |
#ifdef DEBUG |
| /* Do it later. |
for (qq=q; qq<betti; qq++) { |
| for (qq=0; qq<betti; qq++) { |
|
| for (i=0; i<betti_levelplus; i++) { |
for (i=0; i<betti_levelplus; i++) { |
| if (!IsZero(newbases[i,qq])) { |
if ((!IsZero(newbases[i,qq])) && (redundantTable[level,qq] >0)) { |
| Println(["[i,qq]=",[i,qq]," is not zero in newbases."]); |
Println(["[i,qq]=",[i,qq]," is not zero in newbases."]); |
| Print("redundantTable ="); sm1_pmat(redundantTable[level]); |
Print("redundantTable ="); sm1_pmat(redundantTable[level]); |
| Error("Stop in Sminimal for debugging."); |
Error("Stop in Sminimal for debugging."); |
| } |
} |
| } |
} |
| } |
} |
| */ |
|
| #endif |
#endif |
| } |
} |
| } |
} |