| 1 | /* emacs edit mode for this file is -*- C++ -*- */ |
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| 2 | |
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| 3 | /** |
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| 4 | * |
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| 5 | * @file cf_hnf.cc |
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| 6 | * |
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| 7 | * HNF/LLL of NTL |
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| 8 | * |
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| 9 | * Header file: cf_hnf.h |
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| 10 | * |
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| 11 | **/ |
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| 12 | |
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| 13 | |
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| 14 | #include "config.h" |
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| 15 | |
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| 16 | #include "canonicalform.h" |
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| 17 | #include "cf_defs.h" |
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| 18 | #include "cf_hnf.h" |
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| 19 | |
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| 20 | #ifdef HAVE_NTL |
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| 21 | #include "NTLconvert.h" |
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| 22 | #include <NTL/mat_ZZ.h> |
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| 23 | #include <NTL/HNF.h> |
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| 24 | #include <NTL/LLL.h> |
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| 25 | #endif |
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| 26 | |
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| 27 | #ifdef HAVE_FLINT |
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| 28 | #include "FLINTconvert.h" |
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| 29 | #endif |
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| 30 | |
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| 31 | /** |
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| 32 | * The input matrix A is an n x m matrix of rank m (so n >= m), and D |
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| 33 | * is a multiple of the determinant of the lattice L spanned by the |
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| 34 | * rows of A. W is computed as the Hermite Normal Form of A; that is, |
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| 35 | * W is the unique m x m matrix whose rows span L, such that |
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| 36 | * |
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| 37 | * - W is lower triangular, |
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| 38 | * - the diagonal entries are positive, |
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| 39 | * - any entry below the diagonal is a non-negative number |
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| 40 | * strictly less than the diagonal entry in its column. |
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| 41 | * |
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| 42 | **/ |
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| 43 | CFMatrix* cf_HNF(CFMatrix& A) |
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| 44 | { |
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| 45 | #ifdef HAVE_FLINT |
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| 46 | fmpz_mat_t FLINTM; |
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| 47 | convertFacCFMatrix2Fmpz_mat_t(FLINTM,A); |
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| 48 | fmpz_mat_hnf(FLINTM,FLINTM); |
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| 49 | CFMatrix *r=convertFmpz_mat_t2FacCFMatrix(FLINTM); |
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| 50 | fmpz_mat_clear(FLINTM); |
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| 51 | return r; |
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| 52 | #elif defined(HAVE_NTL) |
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| 53 | mat_ZZ *AA=convertFacCFMatrix2NTLmat_ZZ(A); |
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| 54 | ZZ DD=convertFacCF2NTLZZ(determinant(A,A.rows())); |
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| 55 | mat_ZZ WW; |
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| 56 | HNF(WW,*AA,DD); |
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| 57 | delete AA; |
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| 58 | return convertNTLmat_ZZ2FacCFMatrix(WW); |
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| 59 | #endif |
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| 60 | } |
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| 61 | |
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| 62 | CFMatrix* cf_LLL(CFMatrix& A) |
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| 63 | { |
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| 64 | #ifdef HAVE_FLINT |
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| 65 | fmpz_mat_t FLINTM; |
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| 66 | convertFacCFMatrix2Fmpz_mat_t(FLINTM,A); |
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| 67 | fmpq_t delta,eta; |
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| 68 | fmpq_init(delta); fmpq_set_si(delta,1,1); |
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| 69 | fmpq_init(eta); fmpq_set_si(eta,3,4); |
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| 70 | fmpz_mat_lll_storjohann(FLINTM,delta,eta); |
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| 71 | CFMatrix *r=convertFmpz_mat_t2FacCFMatrix(FLINTM); |
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| 72 | fmpz_mat_clear(FLINTM); |
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| 73 | return r; |
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| 74 | #elif defined(HAVE_NTL) |
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| 75 | mat_ZZ *AA=convertFacCFMatrix2NTLmat_ZZ(A); |
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| 76 | ZZ det2; |
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| 77 | LLL(det2,*AA,0L); |
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| 78 | CFMatrix *r= convertNTLmat_ZZ2FacCFMatrix(*AA); |
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| 79 | delete AA; |
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| 80 | return r; |
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| 81 | #endif |
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| 82 | } |
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