version 1.21, 2000/08/01 03:42:35 |
version 1.24, 2000/08/02 03:23:36 |
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/* $OpenXM: OpenXM/src/k097/lib/minimal/minimal.k,v 1.20 2000/07/31 02:25:34 takayama Exp $ */ |
/* $OpenXM: OpenXM/src/k097/lib/minimal/minimal.k,v 1.23 2000/08/01 08:51:03 takayama Exp $ */ |
#define DEBUG 1 |
#define DEBUG 1 |
Sordinary = false; |
Sordinary = false; |
/* 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 239 def SresolutionFrameWithTower(g,opt) { |
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Line 239 def SresolutionFrameWithTower(g,opt) { |
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} |
} |
} |
} |
} |
} |
}else{ |
} else if (IsNull(opt)){ |
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} else { |
Println("Warning: option should be given by an array."); |
Println("Warning: option should be given by an array."); |
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Println(opt); |
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Println("--------------------------------------------"); |
} |
} |
} |
} |
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Line 962 HelpAdd(["Sminimal", |
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Line 965 HelpAdd(["Sminimal", |
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def Sminimal(g,opt) { |
def Sminimal(g,opt) { |
local r, freeRes, redundantTable, reducer, maxLevel, |
local r, freeRes, redundantTable, reducer, maxLevel, |
minRes, seq, maxSeq, level, betti, q, bases, dr, |
minRes, seq, maxSeq, level, betti, q, bases, dr, |
betti_levelplus, newbases, i, j,qq, tminRes; |
betti_levelplus, newbases, i, j,qq, tminRes,bettiTable, ansSminimal; |
if (Length(Arglist) < 2) { |
if (Length(Arglist) < 2) { |
opt = null; |
opt = null; |
} |
} |
Line 975 def Sminimal(g,opt) { |
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Line 978 def Sminimal(g,opt) { |
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freeRes = r[0]; |
freeRes = r[0]; |
redundantTable = r[1]; |
redundantTable = r[1]; |
reducer = r[2]; |
reducer = r[2]; |
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bettiTable = SbettiTable(redundantTable); |
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Println("Betti numbers are ------"); |
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sm1_pmat(bettiTable); |
minRes = SnewArrayOfFormat(freeRes); |
minRes = SnewArrayOfFormat(freeRes); |
seq = 0; |
seq = 0; |
maxSeq = SgetMaxSeq(redundantTable); |
maxSeq = SgetMaxSeq(redundantTable); |
Line 1028 def Sminimal(g,opt) { |
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Line 1034 def Sminimal(g,opt) { |
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} |
} |
} |
} |
tminRes = Stetris(minRes,redundantTable); |
tminRes = Stetris(minRes,redundantTable); |
return([SpruneZeroRow(tminRes), tminRes, |
ansSminimal = [SpruneZeroRow(tminRes), tminRes, |
[ minRes, redundantTable, reducer,r[3],r[4]],r[0],r[5]]); |
[ minRes, redundantTable, reducer,r[3],r[4]],r[0],r[5]]; |
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Println("------------ Note -----------------------------"); |
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Println("To get shift vectors, use Reparse and SgetShifts(resmat,w)"); |
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Println("To get initial of the complex, use Reparse and Sinit_w(resmat,w)"); |
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Println("0: minimal resolution, 3: Schreyer resolution "); |
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Println("------------ Resolution Summary --------------"); |
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Print("Betti numbers : "); |
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Println(Map(ansSminimal[0],"Length")); |
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Print("Betti numbers of the Schreyer frame: "); |
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Println(Map(ansSminimal[3],"Length")); |
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Println("-----------------------------------------------"); |
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return(ansSminimal); |
/* r[4] is the redundantTable_ordinary */ |
/* r[4] is the redundantTable_ordinary */ |
/* r[0] is the freeResolution */ |
/* r[0] is the freeResolution */ |
/* r[5] is the skelton */ |
/* r[5] is the skelton */ |
Line 1500 HelpAdd(["Sinit_w", |
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Line 1518 HelpAdd(["Sinit_w", |
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" c=Sinit_w(b,w); c:" |
" c=Sinit_w(b,w); c:" |
]]); |
]]); |
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/* This method does not work, because we have zero rows. |
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Think about it later. */ |
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def SbettiTable(rtable) { |
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local ans,i,j,pp; |
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ans = SnewArrayOfFormat(rtable); |
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for (i=0; i<Length(rtable); i++) { |
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pp = 0; |
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for (j=0; j<Length(rtable[i]); j++) { |
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if (rtable[i,j] != 0) {pp = pp+1;} |
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} |
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ans[i] = pp; |
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} |
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return(ans); |
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} |
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