version 1.6, 2000/05/06 07:58:37 |
version 1.9, 2000/05/06 13:41:12 |
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/* $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() { |
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Line 37 def load_tower() { |
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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 "); |
} |
} |
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sm1(" oxNoX "); |
} |
} |
load_tower(); |
load_tower(); |
SonAutoReduce = true; |
SonAutoReduce = true; |
Line 1152 def Sschreyer(g) { |
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Line 1153 def Sschreyer(g) { |
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/* i must be equal to f[2], I think. Double check. */ |
/* i must be equal to f[2], I think. Double check. */ |
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/* Correction Of Constant */ |
/* Correction Of Constant */ |
c2 = -f[6]; /* or f[6]? Double check. */ |
/* Correction of syzygy */ |
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c2 = f[6]; /* or -f[6]? Double check. */ |
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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]); |
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for (jj=0; jj<m; jj++) { |
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if (jj != place) { |
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bases[ii,jj] = bases[ii,jj]*c2; |
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} |
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} |
} |
} |
} |
} |
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Print("Old freeRes[level] = "); sm1_pmat(freeRes[level]); |
freeRes[level] = bases; |
freeRes[level] = bases; |
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Print("New freeRes[level] = "); sm1_pmat(freeRes[level]); |
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/* Update the freeRes[level-1] */ |
/* Update the freeRes[level-1] */ |
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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; |
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Print("New freeRes[level-1] = "); sm1_pmat(freeRes[level-1]); |
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reducer[level-1,place] = f[1]; |
reducer[level-1,place] = f[1]-SunitOfFormat(place,f[1]); |
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/* This reducer is different from that of SlaScala(). */ |
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reducerBasis = reducer[level-1]; |
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nn = Length(reducerBasis); |
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for (ii=0; ii<nn;ii++) { |
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if ((ii != place) && (! IsNull(reducerBasis[ii]))) { |
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m = Length(reducerBasis[ii]); |
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for (jj=0; jj<m; jj++) { |
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if (jj != place) { |
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reducerBasis[ii,jj] = reducerBasis[ii,jj]*c2; |
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} |
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} |
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} |
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} |
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reducer[level-1] = reducerBasis; |
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}else{ |
}else{ |
/* redundantTable[level,i] = 0; */ |
/* redundantTable[level,i] = 0; */ |
bases = freeRes[level]; |
bases = freeRes[level]; |
Line 1182 def Sschreyer(g) { |
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Line 1210 def Sschreyer(g) { |
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if (level >= 1) { |
if (level >= 1) { |
Println(" "); |
Println(" "); |
Print("Triangulating reducer at level "); Println(level-1); |
Print("Triangulating reducer at level "); Println(level-1); |
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Println("freeRes[level]="); sm1_pmat(freeRes[level]); |
reducerBase = reducer[level-1]; |
reducerBase = reducer[level-1]; |
Print("reducerBase="); Println(reducerBase); |
Print("reducerBase="); Println(reducerBase); |
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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. */ |
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reducerBase[jj] = reducerBase[ii,ii]*reducerBase[jj]-reducerBase[jj,ii]*reducerBase[ii]; |
} |
} |
} |
} |
} |
} |
Line 1337 def Sminimal_v(g) { |
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Line 1368 def Sminimal_v(g) { |
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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. */ |
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/* 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) { |
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Line 1385 def Sminimal_v(g) { |
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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++) { |
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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."); |
} |
} |
} |
} |
} |
} |
*/ |
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#endif |
#endif |
} |
} |
} |
} |