[42ea852] | 1 | LIB "tst.lib"; |
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| 2 | tst_init(); |
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| 3 | LIB "polybori.lib"; |
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| 4 | |
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| 5 | /////////////////////////////////////////////////////////////////////////////// |
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| 6 | |
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| 7 | //////////////// test for boolean_poly(poly,ring) and recursive_boolean_poly(poly,ring) |
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| 8 | |
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| 9 | "!!! Test: boolean_poly, recursive_boolean_poly !!!"; |
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| 10 | |
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| 11 | ring r=2,x(1..4),lp; |
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| 12 | def br0=boolean_poly_ring(r); |
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| 13 | poly f=x(1)^2+2*x(2)*(x(3))-x(4)^3; |
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| 14 | "Singular Poly in char=2, x(1..4):"; |
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| 15 | f; |
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| 16 | |
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| 17 | "Boolean Poly:"; |
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| 18 | boolean_poly(f,br0); |
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| 19 | |
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| 20 | "Recursive Boolean Poly:"; |
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| 21 | recursive_boolean_poly(f,br0); |
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| 22 | kill r; |
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| 23 | // -------------------------------------------------- |
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| 24 | |
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| 25 | ring r=0,x(1..7),Dp; |
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| 26 | def br1=boolean_poly_ring(r); |
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| 27 | poly f=x(4)^3+2*x(7)+23*x(2)^2*x(6)^3-1; |
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| 28 | "Singular Poly in char=0, x(1..7):"; |
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| 29 | f; |
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| 30 | |
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| 31 | "Boolean Poly:"; |
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| 32 | boolean_poly(f,br1); |
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| 33 | |
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| 34 | "Recursive Boolean Poly:"; |
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| 35 | recursive_boolean_poly(f,br1); |
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| 36 | kill r; |
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| 37 | |
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| 38 | // ------------------------------------------------- |
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| 39 | ring r=0,(w,x,y,z),Dp; |
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| 40 | def br2=boolean_poly_ring(r); |
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| 41 | poly f=xyz+20*x^2*y-3*xz+15*w-58699; |
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| 42 | "Singular Poly in char=0,(w,x,y,z) :"; |
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| 43 | f; |
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| 44 | |
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| 45 | "Boolean Poly:"; |
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| 46 | boolean_poly(f,br2); |
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| 47 | |
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| 48 | "Recursive Boolean Poly:"; |
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| 49 | recursive_boolean_poly(f,br2); |
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| 50 | kill r; |
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| 51 | // -------------------------------------------------- |
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| 52 | |
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| 53 | |
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| 54 | //////////////// test for from_boolean_poly(pyobject) and recursive_from_boolean_poly(pyobject) |
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| 55 | "!!! Test: from_boolean_poly, recursive_from_boolean_poly !!!"; |
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| 56 | |
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| 57 | python_run("ring = Ring(3)"); |
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| 58 | pyobject pp01 = python_eval("ring.variable(0)+ring.variable(1)"); |
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| 59 | "Boolean poly:"; |
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| 60 | pp01; |
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| 61 | |
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| 62 | ring r=0,(x,y,z),Dp; |
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| 63 | "Singular poly in char=0, (x,y,z):"; |
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| 64 | from_boolean_poly(pp01); |
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| 65 | |
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| 66 | "Recursive Singular Poly in char=0,(x,y,z) :"; |
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| 67 | recursive_from_boolean_poly(pp01); |
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| 68 | kill r; |
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| 69 | |
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| 70 | // -------------------------------------------------- |
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| 71 | python_run("ring1 = Ring(5)"); |
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| 72 | pyobject pp = python_eval("ring1.variable(0)*ring1.variable(3)+(ring1.variable(1)+ring1.variable(2)*ring1.variable(4))*ring1.variable(0)"); |
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| 73 | "Boolean poly:"; |
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| 74 | pp; |
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| 75 | |
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| 76 | ring r=5,(v,w,x,y,z),Dp; |
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| 77 | "Singular poly in char=5, (v,w,x,y,z):"; |
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| 78 | from_boolean_poly(pp); |
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| 79 | |
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| 80 | "Recursive Singular Poly in char=5, (v,w,x,y,z):"; |
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| 81 | recursive_from_boolean_poly(pp); |
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| 82 | kill r; |
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| 83 | |
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| 84 | // -------------------------------------------------- |
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| 85 | |
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| 86 | //////////////// test for poly2zdd(poly) and zdd2poly(zdd) |
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| 87 | "!!! Test: poly2zdd, zdd2poly !!!"; |
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| 88 | |
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| 89 | ring r=0,x,Dp; |
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| 90 | poly f=0; |
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| 91 | "Singular Poly:"; |
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| 92 | f; |
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| 93 | |
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| 94 | "poly2zdd:"; |
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| 95 | poly2zdd(f); |
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| 96 | |
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| 97 | "zdd2poly:"; |
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| 98 | zdd2poly(poly2zdd(f)); |
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| 99 | kill r; |
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| 100 | |
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| 101 | // -------------------------------------------------- |
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| 102 | ring r=0,x,Dp; |
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| 103 | poly f=1; |
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| 104 | "Singular Poly:"; |
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| 105 | f; |
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| 106 | |
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| 107 | "poly2zdd:"; |
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| 108 | poly2zdd(f); |
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| 109 | |
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| 110 | "zdd2poly:"; |
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| 111 | zdd2poly(poly2zdd(f)); |
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| 112 | kill r; |
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| 113 | |
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| 114 | // -------------------------------------------------- |
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| 115 | ring r=0,(v,w,x,y,z),Dp; |
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| 116 | poly f=(v+1)*(w+1)*(x+1)*y*z; |
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| 117 | "Singular Poly in char=0,(v,w,x,y,z):"; |
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| 118 | f; |
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| 119 | " "; |
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| 120 | "poly2zdd:"; |
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| 121 | poly2zdd(f); |
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| 122 | " "; |
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| 123 | "zdd2poly:"; |
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| 124 | zdd2poly(poly2zdd(f)); |
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| 125 | kill r; |
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| 126 | |
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| 127 | // -------------------------------------------------- |
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| 128 | ring r=0, x(1..5),Dp; |
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| 129 | poly g=x(3); |
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| 130 | "Singular Poly in char=0, x(1..5):"; |
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| 131 | g; |
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| 132 | |
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| 133 | "poly2zdd:"; |
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| 134 | poly2zdd(g); |
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| 135 | |
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| 136 | "zdd2poly:"; |
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| 137 | zdd2poly(poly2zdd(g)); |
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| 138 | |
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| 139 | kill r; |
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| 140 | // -------------------------------------------------- |
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| 141 | // -------------------------------------------------- |
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| 142 | |
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| 143 | |
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| 144 | //////////////// test for boolean_ideal(ideal,pyobject) |
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| 145 | "!!! Test: boolean_ideal !!!"; |
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| 146 | |
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| 147 | ring r=0,(x,y,z),Dp; |
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| 148 | def br10=boolean_poly_ring(r); |
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| 149 | poly f1=x3*y+2*x*z+2z-1; |
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| 150 | poly f2=x10*y^2*z^15-x5*z^2+2x*y; |
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| 151 | poly f3=19; |
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| 152 | ideal I2=f1,f2,f3; |
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| 153 | "Singular ideal in char=0,(x,y,z):"; |
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| 154 | I2; |
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| 155 | |
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| 156 | "Boolean ideal:"; |
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| 157 | boolean_ideal(I2,br10); |
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| 158 | kill r; |
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| 159 | |
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| 160 | // -------------------------------------------------- |
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| 161 | |
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| 162 | ring r=2,(x,y,z),Dp; |
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| 163 | def br200=boolean_poly_ring(r); |
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| 164 | poly f1=xyz+20*x^2*y-3*xz+15; |
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| 165 | poly f2=32001*xy+z2; |
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| 166 | poly f3=19; |
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| 167 | ideal I3=f1,f2,f3; |
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| 168 | "Singular ideal in char=2,(x,y,z):"; |
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| 169 | I3; |
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| 170 | |
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| 171 | "Boolean ideal:"; |
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| 172 | boolean_ideal(I3,br200); |
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| 173 | kill r; |
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| 174 | |
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| 175 | // -------------------------------------------------- |
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| 176 | |
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| 177 | |
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| 178 | //////////////// test for from_boolean_ideal(pyobject) |
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| 179 | "!!! Test: from_boolean_ideal !!!"; |
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| 180 | |
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| 181 | ring rs=0,(x,y,z),Dp; |
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| 182 | python_run("ring2 = Ring(3)"); |
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| 183 | pyobject pp5 = python_eval("ring2.variable(0)+ring2.variable(2)"); |
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| 184 | pyobject p5 = python_eval("ring2.variable(0)+ring2.variable(1)"); |
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| 185 | list I4=(p5,pp5); |
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| 186 | "Boolean ideal:"; |
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| 187 | I4; |
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| 188 | |
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| 189 | "Singular ideal in char=0,(x,y,z):"; |
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| 190 | from_boolean_ideal(I4); |
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| 191 | kill rs; |
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| 192 | // -------------------------------------------------- |
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| 193 | |
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| 194 | ring rs=5,(v,w,x,y,z),Dp; |
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| 195 | python_run("ring7 = Ring(5)"); |
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| 196 | pyobject p1 = python_eval("ring7.variable(0)*ring7.variable(3)+ring7.variable(1)+ring7.variable(2)*ring7.variable(4)"); |
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| 197 | pyobject pp1 = python_eval("ring7.variable(4)+ring7.variable(1)*ring7.variable(0)+ring7.variable(0)"); |
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| 198 | pyobject ppp1 = python_eval("ring7.variable(2)+ring7.variable(3)"); |
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| 199 | list I5=(p1,pp1,ppp1); |
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| 200 | "Boolean ideal:"; |
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| 201 | I5; |
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| 202 | |
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| 203 | "Singular ideal in char=5,(v,w,x,y,z):"; |
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| 204 | from_boolean_ideal(I5); |
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| 205 | kill rs; |
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| 206 | |
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| 207 | // -------------------------------------------------- |
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| 208 | // -------------------------------------------------- |
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| 209 | |
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| 210 | |
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| 211 | //////////////// test for boolean_std(ideal) |
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| 212 | "!!! Test: boolean_std !!!"; |
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| 213 | " "; |
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| 214 | ring r=2,x(1..4),lp; |
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| 215 | poly f1=x(1)^2+2*x(2)*(x(3))-x(4)^3; |
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| 216 | poly f2=x(1)^2-x(3)*x(1); |
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| 217 | poly f3=x(2)+5-2*x(1); |
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| 218 | poly f4=x(1)*x(2)-x(3); |
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| 219 | ideal I6=f1,f2,f3,f4; |
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| 220 | "Singular ideal:"; |
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| 221 | I6; |
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| 222 | |
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| 223 | "Boolean_std:"; |
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| 224 | boolean_std(I6); |
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| 225 | kill r; |
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| 226 | // -------------------------------------------------- |
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| 227 | |
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| 228 | ring r=0,x,Dp; |
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| 229 | poly f1=x3+2*x+1; |
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| 230 | poly f2=x10-x5+2x; |
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| 231 | poly f3=19; |
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| 232 | ideal I7=f1,f2,f3; |
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| 233 | "Singular ideal:"; |
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| 234 | I7; |
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| 235 | |
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| 236 | "Boolean_std:"; |
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| 237 | boolean_std(I7); |
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| 238 | kill r; |
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| 239 | |
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| 240 | // -------------------------------------------------- |
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| 241 | |
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| 242 | ring r=32003,(x,y,z),Dp; |
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| 243 | poly f1=xz+y+20*x^2*y; |
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| 244 | poly f2=32002*xy+xz2+y; |
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| 245 | ideal I8=f1,f2; |
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| 246 | "Singular ideal:"; |
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| 247 | I8; |
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| 248 | |
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| 249 | "Boolean_std:"; |
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| 250 | boolean_std(I8); |
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| 251 | kill r; |
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| 252 | |
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| 253 | // -------------------------------------------------- |
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| 254 | // -------------------------------------------------- |
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| 255 | //////////////// test for boolean_set(zdd,pyobject) and from_boolean_set(pyobject, def) |
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| 256 | "!!! Test: boolean_set, from_boolean_set !!!"; |
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| 257 | |
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| 258 | ring r=17,(x,y,z),Dp; |
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| 259 | poly f=25015x7+13689x3y4+21482x6z+18377x5z2+21142x4yz2+29755xy4z2+6632y4z3+644x3z4+15302x2yz4; |
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| 260 | def rb=boolean_poly_ring(r); |
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| 261 | def fb=boolean_poly(f,rb); |
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| 262 | "Boolean Polynomial:"; |
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| 263 | fb; |
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| 264 | |
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| 265 | def fs=fb.set(); |
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| 266 | zdd fz=from_boolean_set(fs,rb); |
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| 267 | "from_boolean_set visualized:"; |
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| 268 | disp_zdd(fz); |
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| 269 | |
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| 270 | |
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| 271 | "boolean_set:"; |
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| 272 | boolean_set(fz,rb); |
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| 273 | kill r; |
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| 274 | // -------------------------------------------------- |
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| 275 | |
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| 276 | ring r=2,x(1..6),Dp; |
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| 277 | def rb6=boolean_poly_ring(r); |
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| 278 | poly h=x(3)^3+x(2)^2*x(4)+x(3)^2*x(5)+x(1)*x(2)*x(6)+x(3)*x(4)*x(6)+x(4)^2*x(6)+x(5)^2*x(6)+x(2)*x(6)^2; |
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| 279 | def hb=boolean_poly(h,rb6); |
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| 280 | "Boolean Polynomial:"; |
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| 281 | hb; |
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| 282 | |
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| 283 | def hs=hb.set(); |
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| 284 | zdd hz=from_boolean_set(hs,rb6); |
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| 285 | "from_boolean_set visualized:"; |
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| 286 | disp_zdd(hz); |
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| 287 | |
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| 288 | "boolean_set:"; |
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| 289 | boolean_set(hz,rb6); |
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| 290 | kill r; |
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| 291 | // -------------------------------------------------- |
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| 292 | |
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| 293 | ring r=0,(a,b,c,d,e),Dp; |
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| 294 | def rb9=boolean_poly_ring(r); |
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| 295 | poly j=(a+1)*(b+1)*(c+1)*(d+1)*(e+1); |
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| 296 | def jb=boolean_poly(j,rb9); |
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| 297 | "Boolean Polynomial:"; |
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| 298 | jb; |
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| 299 | |
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| 300 | def js=jb.set(); |
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| 301 | zdd jz=from_boolean_set(js,rb9); |
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| 302 | "from_boolean_set visualized:"; |
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| 303 | disp_zdd(jz); |
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| 304 | |
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| 305 | "boolean_set:"; |
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| 306 | boolean_set(jz,rb9); |
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| 307 | kill r; |
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| 308 | // -------------------------------------------------- |
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| 309 | // -------------------------------------------------- |
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| 310 | |
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| 311 | |
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| 312 | //////////////// test for Typecasts |
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| 313 | "!!! Test: Typecasts !!!"; |
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| 314 | |
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| 315 | ring r=0,x(1..5),Dp; |
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| 316 | poly f=(x(1)-1)*(x(2)*x(3)-x(4))+x(5); |
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| 317 | "Poly f in Singular:"; |
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| 318 | f; |
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| 319 | |
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| 320 | bpoly lb=f; |
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| 321 | "bpoly lb=f;"; |
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| 322 | lb; |
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| 323 | |
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| 324 | poly ftest=poly(lb); |
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| 325 | "poly ftest=poly(lb);"; |
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| 326 | ftest; |
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| 327 | |
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| 328 | pyobject g=lb; |
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| 329 | "pyobject g=lb;"; |
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| 330 | g; |
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| 331 | |
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| 332 | bpoly lbtest=g; |
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| 333 | "bpoly lbtest=g;"; |
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| 334 | lbtest; |
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| 335 | |
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| 336 | zdd s=f; |
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| 337 | "zdd s=f;"; |
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| 338 | s; |
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| 339 | |
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| 340 | poly sbtest=poly(s); |
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| 341 | "poly sbtest=poly(s);"; |
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| 342 | sbtest; |
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| 343 | |
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| 344 | pyobject sb=s; |
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| 345 | "pyobject sb=s;"; |
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| 346 | sb; |
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| 347 | |
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| 348 | zdd stest=sb; |
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| 349 | "zdd stest=sb;"; |
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| 350 | stest; |
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| 351 | |
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| 352 | poly f2=f^2; |
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| 353 | ideal I=f,f2; |
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| 354 | "Ideal I in Singular:"; |
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| 355 | I; |
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| 356 | |
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| 357 | bideal Ib=I; |
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| 358 | "bideal Ib=I;"; |
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| 359 | Ib; |
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| 360 | |
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| 361 | ideal Itest=ideal(Ib); |
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| 362 | Itest; |
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| 363 | |
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| 364 | pyobject J=Ib; |
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| 365 | J; |
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| 366 | |
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| 367 | bideal Ibtest=J; |
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| 368 | Ibtest; |
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| 369 | |
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| 370 | // -------------------------------------------------- |
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| 371 | // -------------------------------------------------- |
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| 372 | |
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| 373 | // testing cached rings... |
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| 374 | ring r4=0,x(1..10),Dp; |
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| 375 | bring rb4 = r4; |
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| 376 | bpoly bp4_1 = x(1)*x(2)*x(6)*x(7)+1; |
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| 377 | bpoly bp4_2 = x(1)*x(2)*x(3)+1; |
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| 378 | lead(bp4_1) < lead(bp4_2); |
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| 379 | |
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| 380 | ring r5=0,x(1..10),(Dp(5),Dp(5)); |
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| 381 | bring rb5 = r5; |
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| 382 | bpoly bp5_1 = x(1)*x(2)*x(6)*x(7)+1; |
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| 383 | bpoly bp5_2 = x(1)*x(2)*x(3)+1; |
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| 384 | |
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| 385 | lead(bp5_1) < lead(bp5_2); |
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| 386 | |
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| 387 | ring r7=0,x(1..10),(Dp(3),Dp(3),Dp(6)); |
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| 388 | bring rb7 = r7; |
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| 389 | bpoly bp7_1 = x(1)*x(2)*x(6)*x(7)+1; |
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| 390 | bpoly bp7_2 = x(1)*x(2)*x(4)+1; |
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| 391 | |
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| 392 | lead(bp7_1) < lead(bp7_2); |
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| 393 | |
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| 394 | // Checking some more overloaded stuff |
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| 395 | ring r11=2,x,lp; |
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| 396 | bideal bI11 = ideal(x, x+1); |
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| 397 | std(bI11); |
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| 398 | |
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| 399 | bideal bI11 = list(x, x+1); |
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| 400 | |
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| 401 | bI11[1..2]; |
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| 402 | bring br11 = r11; |
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| 403 | nvars(br11); |
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| 404 | |
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| 405 | bpoly bp11 = bI11[1]; |
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| 406 | |
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| 407 | bideal(bp11); |
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| 408 | |
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| 409 | bp11 + 1; |
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| 410 | |
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| 411 | bI11 + bideal(bp11); |
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| 412 | bI11 + bp11; |
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| 413 | |
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| 414 | ring r12=2,(x,y),lp; |
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| 415 | bideal bI12_1 = ideal(x, x+1); |
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| 416 | bideal bI12_2 = ideal(y, y+1); |
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| 417 | |
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| 418 | bI12_1 + bI12_2; |
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| 419 | |
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| 420 | bI12_2 = ideal(x, y, y+1); |
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| 421 | bI12_1 + bI12_2; |
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| 422 | |
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| 423 | // -------------------------- |
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| 424 | // execute examples |
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| 425 | |
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| 426 | example bvar; |
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| 427 | example boolean_set; |
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| 428 | example from_boolean_set; |
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| 429 | example from_boolean_poly; |
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| 430 | example boolean_constant; |
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| 431 | example boolean_poly; |
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| 432 | example from_boolean_poly; |
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| 433 | example boolean_poly; |
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| 434 | example recursive_boolean_poly; |
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| 435 | example boolean_ideal; |
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| 436 | example from_boolean_ideal; |
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| 437 | example boolean_std; |
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| 438 | example from_boolean_constant; |
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| 439 | example recursive_from_boolean_poly; |
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| 440 | example poly2zdd; |
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| 441 | example poly2zdd; |
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| 442 | example disp_zdd; |
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| 443 | |
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| 444 | |
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| 445 | // Finally statistics... |
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| 446 | tst_status(1); |
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| 447 | |
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