| [658] | 1 | #ifndef BZ_TRAVERSAL_CC | 
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|  | 2 | #define BZ_TRAVERSAL_CC | 
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|  | 3 |  | 
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|  | 4 | #ifndef BZ_TRAVERSAL_H | 
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|  | 5 | #error <blitz/traversal.cc> must be included via <blitz/traversal.h> | 
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|  | 6 | #endif | 
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|  | 7 |  | 
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|  | 8 | BZ_NAMESPACE(blitz) | 
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|  | 9 |  | 
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|  | 10 | template<int N_dimensions> | 
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|  | 11 | _bz_typename TraversalOrderCollection<N_dimensions>::T_set | 
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|  | 12 | TraversalOrderCollection<N_dimensions>::traversals_; | 
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|  | 13 |  | 
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|  | 14 | template<int N> | 
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|  | 15 | void makeHilbert(Vector<TinyVector<int,N> >& coord, | 
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|  | 16 | int x0, int y0, int xis, int xjs, | 
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|  | 17 | int yis, int yjs, int n, int& i) | 
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|  | 18 | { | 
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|  | 19 | // N != 2 is not yet implemented. | 
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|  | 20 | BZPRECONDITION(N == 2); | 
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|  | 21 |  | 
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|  | 22 | if (!n) | 
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|  | 23 | { | 
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|  | 24 | if (i > coord.length()) | 
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|  | 25 | { | 
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|  | 26 | cerr << "makeHilbert: vector not long enough" << endl; | 
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|  | 27 | exit(1); | 
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|  | 28 | } | 
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|  | 29 | coord[i][0] = x0 + (xis+yis)/2; | 
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|  | 30 | coord[i][1] = y0 + (xjs+yjs)/2; | 
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|  | 31 | ++i; | 
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|  | 32 | } | 
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|  | 33 | else { | 
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|  | 34 | makeHilbert(coord,x0,y0,yis/2, yjs/2, xis/2, xjs/2, n-1, i); | 
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|  | 35 | makeHilbert(coord,x0+xis/2,y0+xjs/2,xis/2,xjs/2,yis/2,yjs/2,n-1,i); | 
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|  | 36 | makeHilbert(coord,x0+xis/2+yis/2,y0+xjs/2+yjs/2,xis/2,xjs/2,yis/2, | 
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|  | 37 | yjs/2,n-1,i); | 
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|  | 38 | makeHilbert(coord,x0+xis/2+yis, y0+xjs/2+yjs, -yis/2,-yjs/2,-xis/2, | 
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|  | 39 | -xjs/2,n-1,i); | 
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|  | 40 | } | 
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|  | 41 | } | 
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|  | 42 |  | 
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|  | 43 | template<int N_dimensions> | 
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|  | 44 | void MakeHilbertTraversal(Vector<TinyVector<int,N_dimensions> >& coord, | 
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|  | 45 | int length) | 
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|  | 46 | { | 
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|  | 47 | // N_dimensions != 2 not yet implemented | 
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|  | 48 | BZPRECONDITION(N_dimensions == 2); | 
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|  | 49 |  | 
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|  | 50 | // The constant on the next line is ln(2) | 
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|  | 51 | int d = (int)(::ceil(::log((double)length) / 0.693147180559945309417)); | 
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|  | 52 |  | 
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|  | 53 | int N = 1 << d; | 
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|  | 54 | const int Npoints = N*N; | 
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|  | 55 | Vector<TinyVector<int,2> > coord2(Npoints); | 
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|  | 56 |  | 
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|  | 57 | int i=0; | 
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|  | 58 | makeHilbert(coord2,0,0,32768,0,0,32768,d,i); | 
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|  | 59 |  | 
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|  | 60 | int xp0 = coord2[0][0]; | 
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|  | 61 | int yp0 = coord2[0][1]; | 
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|  | 62 |  | 
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|  | 63 | int j=0; | 
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|  | 64 |  | 
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|  | 65 | coord.resize(length * length); | 
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|  | 66 |  | 
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|  | 67 | for (int i=0; i < Npoints; ++i) | 
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|  | 68 | { | 
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|  | 69 | coord2[i][0] = (coord2[i][0]-xp0)/(2*xp0); | 
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|  | 70 | coord2[i][1] = (coord2[i][1]-yp0)/(2*yp0); | 
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|  | 71 |  | 
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|  | 72 | if ((coord2[i][0] < length) && (coord2[i][1] < length) | 
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|  | 73 | && (coord2[i][0] >= 0) && (coord2[i][1] >= 0)) | 
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|  | 74 | { | 
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|  | 75 | coord[j][0] = coord2[i][0]; | 
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|  | 76 | coord[j][1] = coord2[i][1]; | 
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|  | 77 | ++j; | 
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|  | 78 | } | 
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|  | 79 | } | 
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|  | 80 | } | 
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|  | 81 |  | 
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|  | 82 | template<int N_dimensions> | 
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|  | 83 | void generateFastTraversalOrder(const TinyVector<int,N_dimensions>& size) | 
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|  | 84 | { | 
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|  | 85 | BZPRECONDITION(N_dimensions == 2); | 
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|  | 86 | BZPRECONDITION(size[0] == size[1]); | 
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|  | 87 |  | 
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|  | 88 | TraversalOrderCollection<2> travCol; | 
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|  | 89 | if (travCol.find(size)) | 
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|  | 90 | return; | 
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|  | 91 |  | 
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|  | 92 | Vector<TinyVector<int,2> > ordering(size[0]); | 
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|  | 93 |  | 
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|  | 94 | MakeHilbertTraversal(ordering, size[0]); | 
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|  | 95 | travCol.insert(TraversalOrder<2>(size, ordering)); | 
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|  | 96 | } | 
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|  | 97 |  | 
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|  | 98 | BZ_NAMESPACE_END | 
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|  | 99 |  | 
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|  | 100 | #endif // BZ_TRAVERSAL_CC | 
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