Changeset 6f4f9c in git
- Timestamp:
- Aug 15, 2019, 5:02:21 PM (4 years ago)
- Branches:
- (u'spielwiese', '828514cf6e480e4bafc26df99217bf2a1ed1ef45')
- Children:
- d08c429701793a3ea40aacddaa1284f49fbf6167
- Parents:
- a910024f22f240ce40b16d4375550fdd82c28a29
- git-author:
- Sachin <sachinkm308@gmail.com>2019-08-15 17:02:21+02:00
- git-committer:
- Sachin <sachinkm308@gmail.com>2019-08-27 15:42:13+02:00
- Location:
- Singular/LIB
- Files:
-
- 7 edited
Legend:
- Unmodified
- Added
- Removed
-
Singular/LIB/chern.lib
ra91002 r6f4f9c 190 190 def br@=basering; // remember the base ring 191 191 // add additional variables to the base ring 192 execute("ring r@= ("+ charstr(basering) +"),("+varstr(basering)+",c@(1..nV),A@(1..nV)), dp;" ); 192 int ii; 193 list l2 = ringlist(basering)[2]; 194 for (ii = 1; ii <= nV; ii++) 195 { 196 l2[size(l2)+1] = "c@("+string(ii)+")"; 197 } 198 for (ii = 1; ii <= nV; ii++) 199 { 200 l2[size(l2)+1] = "A@("+string(ii)+")"; 201 } 202 ring r@ = create_ring(ringlist(basering)[1], l2, "dp", "no_minpoly"); 193 203 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 194 204 ideal V=F(V); … … 688 698 def br@=basering; // remember the base ring 689 699 // add additional variables c@, a@(1..n) to the base ring 690 execute("ring r@= (" + charstr(basering) + "),(c@,"+varstr(basering)+", a@(1..n)), lp;" ); 700 list l3 = "c@"; 701 l3 = l3+ ringlist(basering)[2]; 702 for (int ii = 1; ii <= n; ii++) 703 { 704 l3[size(l3)+1] = "a@("+string(ii)+")"; 705 } 706 ring r@ = create_ring(ringlist(basering)[1], l3, "lp", "no_minpoly"); 691 707 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 692 708 list c=F(c); // embed c in the bigger ring … … 1018 1034 def br@=basering; // remember the base ring 1019 1035 // add additional variables a@(1..r), b@(1..R), x@ to the base ring 1020 execute("ring r@=("+ charstr(basering) +"),(x@,"+varstr(basering)+",a@(1..r),b@(1..R)), lp;"); 1036 int ii; 1037 list l4 = "x@"; 1038 l4 = l4+ ringlist(basering)[2]; 1039 for (ii = 1; ii <= r; ii++) 1040 { 1041 l4[size(l4)+1] = "a@("+string(ii)+")"; 1042 } 1043 for (ii = 1; ii <= R; ii++) 1044 { 1045 l4[size(l4)+1] = "b@("+string(ii)+")"; 1046 } 1047 ring r@ = create_ring(ringlist(basering)[1], l4, "lp", "no_minpoly"); 1021 1048 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 1022 1049 list c=F(c); // embed c in the bigger ring … … 1101 1128 def br@=basering; // remember the base ring 1102 1129 // add additional variables to the base ring 1103 execute("ring r@=("+charstr(basering)+"), ("+varstr(basering)+", t@, c@(1..r), C@(1..R)), dp;"); 1130 int ii; 1131 list l5 = ringlist(basering)[2]; 1132 l5[size(l5)+1] = "t@"; 1133 for (ii = 1; ii <= r; ii++) 1134 { 1135 l5[size(l5)+1] = "c@("+string(ii)+")"; 1136 } 1137 for (ii = 1; ii <= R; ii++) 1138 { 1139 l5[size(l5)+1] = "C@("+string(ii)+")"; 1140 } 1141 ring r@ = create_ring(ringlist(basering)[1], l5, "dp", "no_minpoly"); 1104 1142 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 1105 1143 list c, C; … … 1235 1273 def br@=basering; // remember the base ring 1236 1274 // add additional variables to the base ring 1237 execute("ring r@=("+charstr(basering)+"), ("+varstr(basering)+", t@, c@(1..r), C@(1..R)), dp;"); 1275 int ii; 1276 list l6 = ringlist(basering)[2]; 1277 l6[size(l6)+1] = "t@"; 1278 for (ii = 1; ii <= r; ii++) 1279 { 1280 l6[size(l6)+1] = "c@("+string(ii)+")"; 1281 } 1282 for (ii = 1; ii <= R; ii++) 1283 { 1284 l6[size(l6)+1] = "C@("+string(ii)+")"; 1285 } 1286 ring r@ = create_ring(ringlist(basering)[1], l6, "dp", "no_minpoly"); 1238 1287 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 1239 1288 list c, C; … … 1571 1620 def br@=basering; // remember the base ring 1572 1621 // add additional variables to the base ring 1573 execute("ring r@=(" + charstr(basering) + "),(x@,"+varstr(basering)+", a@(1..r)), lp;" ); 1622 int ii; 1623 list l7 = "x@"; 1624 l7 = l7+ ringlist(basering)[2]; 1625 for (ii = 1; ii <= r; ii++) 1626 { 1627 l7[size(l7)+1] = "a@("+string(ii)+")"; 1628 } 1629 ring r@ = create_ring(ringlist(basering)[1], l7, "lp", "no_minpoly"); 1574 1630 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 1575 1631 list c=F(c); // embed c into the bigger ring … … 1697 1753 def br@=basering; // remember the base ring 1698 1754 // add additional variables to the base ring 1699 execute("ring r@=(" + charstr(basering) + "), ("+varstr(basering)+", t@, c@(1..r)), dp;" ); 1755 list l8 = ringlist(basering)[2]; 1756 l8[size(l8)+1] = "t@"; 1757 for (int ii = 1; ii <= r; ii++) 1758 { 1759 l8[size(l8)+1] = "c@("+string(ii)+")"; 1760 } 1761 ring r@ = create_ring(ringlist(basering)[1], l8, "dp", "no_minpoly"); 1700 1762 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 1701 1763 list c; … … 1863 1925 def br@=basering; // remember the base ring 1864 1926 // add additional variables a@(1..r), x@ to the base ring 1865 execute("ring r@= (" + charstr(basering) + "), (x@,"+varstr(basering)+", a@(1..r)), lp;" ); 1927 list l9 = "x@"; 1928 l9 = l9+ ringlist(basering)[2]; 1929 for (int ii = 1; ii <= r; ii++) 1930 { 1931 l9[size(l9)+1] = "a@("+string(ii)+")"; 1932 } 1933 ring r@ = create_ring(ringlist(basering)[1], l9, "lp", "no_minpoly"); 1866 1934 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 1867 1935 list c = F(c); // embed c into the bigger ring … … 1991 2059 def br@=basering; // remember the base ring 1992 2060 // add additional variables to the base ring 1993 execute("ring r@=(" + charstr(basering) + "), ("+varstr(basering)+", t@, c@(1..r)), dp;" ); 2061 list l10 = ringlist(basering)[2]; 2062 l10[size(l10)+1] = "t@"; 2063 for (int ii = 1; ii <= r; ii++) 2064 { 2065 l10[size(l10)+1] = "c@("+string(ii)+")"; 2066 } 2067 ring r@ = create_ring(ringlist(basering)[1], l10, "dp", "no_minpoly"); 1994 2068 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 1995 2069 list c; … … 2113 2187 def br@=basering; // remember the base ring 2114 2188 // add additional variables to the base ring 2115 execute("ring r@=(" + charstr(basering) + "), ("+varstr(basering)+", a@, c@(1..n)), dp;" ); 2189 list l11 = ringlist(basering)[2]; 2190 l11[size(l11)+1] = "a@"; 2191 for (int ii = 1; ii <= n; ii++) 2192 { 2193 l11[size(l11)+1] = "c@("+string(ii)+")"; 2194 } 2195 ring r@ = create_ring(ringlist(basering)[1], l11, "dp", "no_minpoly"); 2116 2196 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 2117 2197 list c=F(c); // embed c into the bigger ring … … 2195 2275 def br@=basering; // remember the base ring 2196 2276 // add additional variables a@(1..n), x@ to the base ring 2197 execute("ring r@=(" + charstr(basering) + "), (x@,"+varstr(basering)+", a@(1..n)), lp;" ); 2277 list l12 = "x@"; 2278 l12 = l12+ ringlist(basering)[2]; 2279 for (int ii = 1; ii <= n; ii++) 2280 { 2281 l12[size(l12)+1] = "a@("+string(ii)+")"; 2282 } 2283 ring r@ = create_ring(ringlist(basering)[1], l12, "lp", "no_minpoly"); 2198 2284 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 2199 2285 list c=F(c); // embed c into the bigger ring … … 3076 3162 def br@=basering; // remember the base ring 3077 3163 // add additional variables t@(1), ... , t@(sz) and u@ to the base ring 3078 execute("ring r@=("+ charstr(basering) +"),("+varstr(basering)+",t@(1..sz),u@), dp;"); 3164 list l13 = ringlist(basering)[2]; 3165 for (int ii = 1; ii <= sz; ii++) 3166 { 3167 l13[size(l13)+1] = "t@("+string(ii)+")"; 3168 } 3169 l13[size(l13)+1] = "u@"; 3170 ring r@ = create_ring(ringlist(basering)[1], l13, "dp", "no_minpoly"); 3079 3171 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 3080 3172 ideal I=F(I); // the ideal generated by I in the new ring … … 3170 3262 def br@=basering; // remember the base ring 3171 3263 // add additional variables t@(1), ... , t@(sz) and u@ to the base ring 3172 execute("ring r@=("+ charstr(basering) +"),("+varstr(basering)+",t@(1..sz),u@), dp;"); 3264 list l14 = ringlist(basering)[2]; 3265 for (int ii = 1; ii <= sz; ii++) 3266 { 3267 l14[size(l14)+1] = "t@("+string(ii)+")"; 3268 } 3269 l14[size(l14)+1] = "u@"; 3270 ring r@ = create_ring(ringlist(basering)[1], l14, "dp", "no_minpoly"); 3173 3271 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 3174 3272 ideal I=F(I); // the ideal generated by I in the new ring … … 3883 3981 int sz=ncols(I); 3884 3982 def br@=basering; // remember the base ring 3885 execute("ring r@=("+ charstr(basering) +"),("+varstr(basering)+",t@(1..sz),u@), dp;"); 3983 list l15 = ringlist(basering)[2]; 3984 for (int ii = 1; ii <= sz; ii++) 3985 { 3986 l15[size(l15)+1] = "t@("+string(ii)+")"; 3987 } 3988 l15[size(l15)+1] = "u@"; 3989 ring r@ = create_ring(ringlist(basering)[1], l15, "dp", "no_minpoly"); 3886 3990 execute( "map F= br@,"+varstr(br@)+";" ); // define the corresponding inclusion of rings 3887 3991 ideal I=F(I); -
Singular/LIB/finvar.lib
ra91002 r6f4f9c 7192 7192 int m=ncols(F); 7193 7193 string mp=string(minpoly); 7194 execute("ring R=("+charstr(br)+"),("+varstr(br)+",y(1..m)),dp;"); 7194 list l2 = ringlist(br)[2]; 7195 for (int ii = 1; ii <= m; ii++) 7196 { 7197 l2[size(l2)+1] = "y("+string(ii)+")"; 7198 } 7199 ring R = create_ring(ringlist(br)[1], l2, "dp", "no_minpoly"); 7195 7200 if (mp!="0") 7196 7201 { execute("minpoly=number("+mp+");"); } … … 7414 7419 int m=ncols(F); 7415 7420 string mp=string(minpoly); 7416 execute("ring R=("+charstr(br)+"),("+varstr(br)+",y(1..m)),lp;"); 7421 list l2 = ringlist(br)[2]; 7422 for (int ii = 1; ii <= m; ii++) 7423 { 7424 l2[size(l2)+1] = "y("+string(ii)+")"; 7425 } 7426 ring R = create_ring(ringlist(br)[1], l2, "lp", "no_minpoly"); 7417 7427 if (mp!="0") 7418 7428 { execute("minpoly=number("+mp+");"); } -
Singular/LIB/graal.lib
ra91002 r6f4f9c 404 404 string ostring = ordstr(basering); 405 405 ostring = ostring[1..size(ostring)-2]; 406 execute("ring Q0y = ("+charstr(basering)+"),(Y(1..s),"+varstr(basering)+"),(ds(s),c,"+ostring+")"); 406 list l2; 407 for (int ii = 1; ii <= s; ii++) 408 { 409 l2[ii] = "Y("+string(ii)+")"; 410 } 411 l2[s+1] = ringlist(basering)[2]; 412 ring Q0y = create_ring(ringlist(basering)[1], l2, "(ds(s),c,"+ostring+")", "no_minpoly"); 407 413 setring Q0y; 408 414 ideal H = imap(Gr.A,H); -
Singular/LIB/hnoether.lib
ra91002 r6f4f9c 2736 2736 string strmip=string(minpoly); 2737 2737 string strf=string(f); 2738 execute("ring tempr=("+string(char(basering))+","+parstr(basering)+"),(" 2739 +varstr(basering)+"),dp;"); 2738 ring tempr = create_ring("("+string(char(basering))+","+parstr(basering)+")", "("+varstr(basering)+")", "dp"); 2740 2739 execute("minpoly="+strmip+";"); 2741 2740 execute("poly f="+strf+";"); -
Singular/LIB/ncalg.lib
ra91002 r6f4f9c 595 595 int @d = nrows(A); 596 596 int n = ncols(A); 597 execute("ring r1=0,(d(1..n)),"+sord+";"); 597 list l2; 598 for (int ii = 1; ii <= n; ii++) 599 { 600 l2[ii] = "d("+string(ii)+")"; 601 } 602 ring r1 = create_ring(0, l2, sord); 598 603 ideal I0; 599 604 if (size(#)==0) … … 615 620 } 616 621 string sord2 = "(a(0:" + string(n) + ")," + sord + ")"; 617 execute("ring GR = (0,b(1..@d)),(x(1..n),d(1..n)),"+sord2+";"); 622 string l3 = "(0"; 623 int ii; 624 for (ii = 1; ii <= @d; ii++) 625 { 626 l3 = l3+",b("+string(ii)+")"; 627 } 628 l3 = l3+")"; 629 list l4; 630 for (ii = 1; ii <= n; ii++) 631 { 632 l4[ii] = "x("+string(ii)+")"; 633 l4[n+ii] = "d("+string(ii)+")"; 634 } 635 ring GR = create_ring(l3, l4, sord2); 618 636 def W=Weyl(); setring W; 619 637 kill GR; -
Singular/LIB/poly.lib
ra91002 r6f4f9c 740 740 else 741 741 { 742 execute("ring R=("+charstr(br)+"),(@z,@x(1..n)),(dp(1),"+ordstr(br)+");"); 742 list l2 = "@z"; 743 for (int ii = 1; ii <= n; ii++) 744 { 745 l2[ii+1] = "@x("+string(ii)+")"; 746 } 747 ring R = create_ring(ringlist(br)[1], l2, "(dp(1),"+ordstr(br)+")", "no_minpoly"); 743 748 } 744 749 if (mp!="0") -
Singular/LIB/resolve.lib
ra91002 r6f4f9c 666 666 //--------------------------------------------------------------------------- 667 667 //--- control the names of the variables 668 execute("ring R=("+charstr(R0)+"),(x(1..n)),dp;"); 668 list l2; 669 for (int ii = 1; ii <= n; ii++) 670 { 671 l2[ii] = "x("+string(ii)+")"; 672 } 673 ring R = create_ring(ringlist(R0)[1], l2, "dp", "no_minpoly"); 669 674 list BO=fetch(R1,BO); 670 675 ideal C=fetch(R1,C); … … 706 711 //to have the list depending on R in case BO[4] is empty 707 712 708 execute("ring S=("+charstr(R)+"),("+varstr(R)+",y(0..s-1)),dp;"); 713 list l2 = ringlist(R)[2]; 714 for (int ii = 0; ii <= s-1; ii++) 715 { 716 l2[size(l2)+1] = "y("+string(ii)+")"; 717 } 718 ring S = create_ring(ringlist(R)[1], l2, "dp", "no_minpoly"); 709 719 list resu; 710 720 list B; 711 execute("ring T=("+charstr(R)+"),("+varstr(R)+",y(0..s-1),t),dp;"); 721 list l2 = ringlist(R)[2]; 722 for (int ii = 0; ii <= s-1; ii++) 723 { 724 l2[size(l2)+1] = "y("+string(ii)+")"; 725 } 726 l2[size(l2)+1] = "t"; 727 ring S = create_ring(ringlist(R)[1], l2, "dp", "no_minpoly"); 712 728 ideal C=imap(R,C); 713 729 ideal W=imap(R,W);
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