[913156] | 1 | from Singular import * |
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| 2 | from interpreter import * |
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| 3 | from objects import * |
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| 4 | from util import create_ring |
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| 5 | import cd.polyd, cd.primdec, cd.list1 |
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| 6 | from cd.polyd import DMPsym, SDMPsym, termsym, lpsym,dpsym,poly_ring_dsym, DMPLsym, implementation, groebnerdsym |
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| 7 | from cd.fieldname1 import Qsym as Rationals |
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| 8 | singular=singular_globals_proxy() |
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| 9 | import cd.primdec |
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| 10 | class SingularException(Exception): |
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| 11 | pass |
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| 12 | |
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| 13 | def poly2OM(p): |
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| 14 | terms=[term2OM(t) for t in p] |
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| 15 | return OMA(SDMPsym,terms) |
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| 16 | |
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| 17 | def poly_in_ring2OM(p): |
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| 18 | pe=poly2OM(p) |
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| 19 | r=ring2OM(p.ring()) |
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| 20 | return OMA(DMPsym,[r,pe]) |
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| 21 | |
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| 22 | def gb2OM(gb): |
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| 23 | i=ideal2OM(gb) |
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| 24 | o=ordering2OM(gb.ring()) |
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| 25 | return OMA(groebnerdsym,[o,i]) |
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| 26 | orderingTable={ |
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| 27 | "lp": lpsym, |
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| 28 | "dp": dpsym |
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| 29 | } |
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| 30 | OrderingTableBack={} |
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| 31 | for k in orderingTable: |
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| 32 | OrderingTableBack[orderingTable[k]]=k |
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| 33 | |
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| 34 | def ordering2OM(r): |
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| 35 | rl=singular.ringlist(r) |
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| 36 | return orderingTable[rl[2][0][0]] |
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| 37 | |
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| 38 | def encode_field(r): |
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| 39 | char=singular.char(r) |
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| 40 | if char==0 and singular.npars(r)==0: |
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| 41 | return Rationals |
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| 42 | else: |
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| 43 | raise SingularException("unknown field to encode") |
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| 44 | |
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| 45 | def ideal2OM(i): |
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| 46 | r=ring2OM(i.ring()) |
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| 47 | return OMA(DMPLsym,[r]+[poly2OM(p) for p in i]) |
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| 48 | def ring2OM(r): |
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| 49 | nv=singular.nvars(r) |
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| 50 | f=encode_field(r) |
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| 51 | return OMA(poly_ring_dsym,[f,nv]) |
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| 52 | |
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| 53 | def OM2ring(ring_desc, ordering="dp"): |
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| 54 | assert isinstance(ring_desc, OMA) |
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| 55 | if (ring_desc.args[0]==Rationals): |
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| 56 | i=ring_desc.args[1] |
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| 57 | return create_ring(char=0, nvars=i, ordering=ordering) |
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| 58 | |
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| 59 | raise SingularException("ring not supported") |
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| 60 | def OM2poly(poly_desc): |
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| 61 | """assumes the right ring is set""" |
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| 62 | assert isinstance(poly_desc, OMA) |
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| 63 | terms=[OM2term(t) for t in poly_desc.args] |
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[f4511f] | 64 | res=Polynomial(Number(0)) |
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[913156] | 65 | for t in terms: |
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| 66 | res=res+t |
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| 67 | #res+=t |
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| 68 | return res |
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| 69 | def OM2term(term_desc): |
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| 70 | assert isinstance(term_desc, OMA) |
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[f4511f] | 71 | assert len(term_desc.args)==singular.nvars(Ring())+1 |
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[913156] | 72 | assert isinstance(term_desc.args[0], int) |
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| 73 | |
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[f4511f] | 74 | coef=Number(term_desc.args[0]) |
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| 75 | exp=IntVector() |
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[913156] | 76 | for e in term_desc.args[1:]: |
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| 77 | assert isinstance(e,int) |
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| 78 | exp.append(e) |
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| 79 | #print coef, polynomial(exp) |
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[f4511f] | 80 | return coef*Polynomial(exp) |
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[913156] | 81 | |
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| 82 | def OM2ideal_raw(dmpl): |
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| 83 | """assumes that the right ring is set""" |
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[f4511f] | 84 | i=Ideal() |
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[913156] | 85 | assert len(dmpl.args)>=1 |
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| 86 | ps=[OM2poly(d) for d in dmpl.args[1:]] |
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| 87 | for p in ps: |
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| 88 | i.append(p) |
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| 89 | return i |
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| 90 | def OM2ideal(dmpl,o): |
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| 91 | assert len(dmpl.args)>=1 |
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| 92 | return OM2ring(dmpl.args[0], ordering=OrderingTableBack[o]) |
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| 93 | |
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| 94 | leadcoef=singular.leadcoef |
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| 95 | leadexp=singular.leadexp |
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| 96 | def term2OM(t): |
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| 97 | """FIXME: ugly because it uses slow interpreter interface and setting of rings for this should be automatically""" |
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| 98 | #t.ring().set() |
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| 99 | #exponents=leadexp(t) |
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| 100 | #c=leadcoef(t) |
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| 101 | exponents=t.leadExp() |
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| 102 | c=t.leadCoef() |
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| 103 | exponents=[i for i in exponents] |
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| 104 | return OMA(termsym,[int(str(c))]+exponents) |
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| 105 | def groebnerfunc(ordering, dmpl): |
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| 106 | |
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| 107 | r=OM2ring(dmpl.args[0], OrderingTableBack[ordering]) |
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| 108 | r.set() |
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| 109 | i=OM2ideal_raw(dmpl) |
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| 110 | res=singular.groebner(i) |
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| 111 | #FIXME: singular.groebner does not work may because of bad ring changes |
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| 112 | #FIXME: increase reference to ring in ideal, polynomial class |
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| 113 | return gb2OM(res) |
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| 114 | implementation.groebner=groebnerfunc |
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| 115 | |
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[de9824] | 116 | def dmplQ(a): |
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| 117 | if isinstance(a,OMA) and a.func==DMPLsym: |
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| 118 | return True |
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| 119 | else: |
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| 120 | return False |
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| 121 | |
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| 122 | |
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| 123 | def input_convert(f): |
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| 124 | def my2OM(a): |
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| 125 | """FIXME: very dirty""" |
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| 126 | global save_ring |
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| 127 | |
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| 128 | |
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| 129 | if (dmplQ(a)): |
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| 130 | dmpl=a |
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| 131 | r=OM2ring(dmpl.args[0]) |
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| 132 | r.set() |
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| 133 | i=OM2ideal_raw(dmpl) |
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| 134 | safe_ring=r |
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| 135 | return i |
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| 136 | |
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| 137 | return a |
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| 138 | |
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| 139 | def wrapper(*args): |
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| 140 | return f(*[my2OM(a) for a in args]) |
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| 141 | |
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| 142 | |
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| 143 | wrapper.__name__=f.__name__ |
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| 144 | return wrapper |
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| 145 | |
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| 146 | def output_convert(f): |
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| 147 | def my2om(a): |
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| 148 | """FIXME: very dirty""" |
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| 149 | global save_ring |
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| 150 | |
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[f4511f] | 151 | if isinstance(a,Ideal): |
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[de9824] | 152 | return ideal2OM(a) |
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| 153 | if (isinstance(a,list)): |
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| 154 | return cd.list1.list2OM([my2om(a2) for a2 in a]) |
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| 155 | |
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| 156 | return a |
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| 157 | |
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| 158 | def wrapper(*args): |
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| 159 | return my2om(f(*args)) |
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| 160 | |
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| 161 | |
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| 162 | wrapper.__name__=f.__name__ |
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| 163 | return wrapper |
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| 164 | |
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[913156] | 165 | def min_ass_func(dmpl): |
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| 166 | r=OM2ring(dmpl.args[0]) |
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| 167 | r.set() |
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| 168 | i=OM2ideal_raw(dmpl) |
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[de9824] | 169 | l=singular.minAssGTZ(i) |
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| 170 | return cd.list1.OM2list([ideal2OM(i) for i in l]) |
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| 171 | @input_convert |
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| 172 | def min_ass_func2(i): |
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| 173 | |
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[913156] | 174 | l=singular.minAssGTZ(i) |
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| 175 | return cd.list1.list2OM([ideal2OM(i) for i in l]) |
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[de9824] | 176 | |
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| 177 | |
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[20284a] | 178 | def singular_default_converter(f): |
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| 179 | return output_convert(input_convert(f)) |
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| 180 | cd.primdec.implementation.converter=singular_default_converter |
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[de9824] | 181 | #cd.primdec.implementation.minAss=min_ass_func2 |
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[20284a] | 182 | cd.primdec.implementation.minAss=singular.minAssGTZ#input_convert(output_convert(singular.minAssGTZ)) |
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[de9824] | 183 | |
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[20284a] | 184 | cd.primdec.implementation.minAssGTZ=singular.minAssGTZ |
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| 185 | #input_convert(output_convert(singular.minAssGTZ)) |
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[de9824] | 186 | |
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[20284a] | 187 | cd.primdec.implementation.primdecGTZ=singular.primdecGTZ#input_convert(output_convert(singular.primdecGTZ)) |
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| 188 | cd.primdec.implementation.radical=singular.radical |
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[de9824] | 189 | |
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[913156] | 190 | optimize(poly2OM) |
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| 191 | optimize(term2OM) |
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