spielwiese
Last change
on this file since 1a2d66 was
362fc67,
checked in by Martin Lee <martinlee84@…>, 12 years ago
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chg: remove $Id$
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-
Property mode set to
100644
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File size:
1.2 KB
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[f291fcd] | 1 | /* emacs edit mode for this file is -*- C++ -*- */ |
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| 2 | |
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| 3 | //{{{ docu |
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| 4 | // |
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| 5 | // cf_hnf.cc - HNF of NTL |
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| 6 | // |
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| 7 | // Header file: cf_hnf.h |
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| 8 | // |
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| 9 | //}}} |
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| 10 | |
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[c74d6a] | 11 | #include "config.h" |
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[f291fcd] | 12 | |
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| 13 | #ifdef HAVE_NTL |
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| 14 | #include "NTLconvert.h" |
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| 15 | #include "canonicalform.h" |
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| 16 | #include "cf_defs.h" |
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| 17 | #include "cf_hnf.h" |
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| 18 | #include <NTL/mat_ZZ.h> |
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| 19 | #include <NTL/HNF.h> |
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[9c0b20a] | 20 | #include <NTL/LLL.h> |
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[f291fcd] | 21 | |
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| 22 | // The input matrix A is an n x m matrix of rank m (so n >= m), and D |
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| 23 | // is a multiple of the determinant of the lattice L spanned by the |
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| 24 | // rows of A. W is computed as the Hermite Normal Form of A; that is, |
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| 25 | // W is the unique m x m matrix whose rows span L, such that |
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| 26 | // |
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| 27 | // - W is lower triangular, |
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| 28 | // - the diagonal entries are positive, |
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| 29 | // - any entry below the diagonal is a non-negative number |
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| 30 | // strictly less than the diagonal entry in its column. |
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| 31 | // |
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| 32 | // via ntl |
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| 33 | CFMatrix* cf_HNF(CFMatrix& A) |
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| 34 | { |
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| 35 | mat_ZZ *AA=convertFacCFMatrix2NTLmat_ZZ(A); |
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| 36 | ZZ DD=convertFacCF2NTLZZ(determinant(A,A.rows())); |
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| 37 | mat_ZZ WW; |
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| 38 | HNF(WW,*AA,DD); |
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| 39 | delete AA; |
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| 40 | return convertNTLmat_ZZ2FacCFMatrix(WW); |
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| 41 | } |
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[9c0b20a] | 42 | CFMatrix* cf_LLL(CFMatrix& A) |
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| 43 | { |
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| 44 | mat_ZZ *AA=convertFacCFMatrix2NTLmat_ZZ(A); |
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[9e7d85] | 45 | #if 0 |
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[9c0b20a] | 46 | LLL_RR(*AA); |
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[9e7d85] | 47 | #else |
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| 48 | ZZ det2; |
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| 49 | LLL(det2,*AA,0L); |
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| 50 | #endif |
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[9c0b20a] | 51 | CFMatrix *r= convertNTLmat_ZZ2FacCFMatrix(*AA); |
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| 52 | delete AA; |
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| 53 | return r; |
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| 54 | } |
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[f291fcd] | 55 | #endif |
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