jengelhdatetimespielwiese
Last change
on this file since 362fc67 was
362fc67,
checked in by Martin Lee <martinlee84@…>, 11 years ago

chg: remove $Id$


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Line  

1  /* emacs edit mode for this file is * C++ * */ 

2  

3  //{{{ docu 

4  // 

5  // cf_hnf.cc  HNF of NTL 

6  // 

7  // Header file: cf_hnf.h 

8  // 

9  //}}} 

10  

11  #include "config.h" 

12  

13  #ifdef HAVE_NTL 

14  #include "NTLconvert.h" 

15  #include "canonicalform.h" 

16  #include "cf_defs.h" 

17  #include "cf_hnf.h" 

18  #include <NTL/mat_ZZ.h> 

19  #include <NTL/HNF.h> 

20  #include <NTL/LLL.h> 

21  

22  // The input matrix A is an n x m matrix of rank m (so n >= m), and D 

23  // is a multiple of the determinant of the lattice L spanned by the 

24  // rows of A. W is computed as the Hermite Normal Form of A; that is, 

25  // W is the unique m x m matrix whose rows span L, such that 

26  // 

27  //  W is lower triangular, 

28  //  the diagonal entries are positive, 

29  //  any entry below the diagonal is a nonnegative number 

30  // strictly less than the diagonal entry in its column. 

31  // 

32  // via ntl 

33  CFMatrix* cf_HNF(CFMatrix& A) 

34  { 

35  mat_ZZ *AA=convertFacCFMatrix2NTLmat_ZZ(A); 

36  ZZ DD=convertFacCF2NTLZZ(determinant(A,A.rows())); 

37  mat_ZZ WW; 

38  HNF(WW,*AA,DD); 

39  delete AA; 

40  return convertNTLmat_ZZ2FacCFMatrix(WW); 

41  } 

42  CFMatrix* cf_LLL(CFMatrix& A) 

43  { 

44  mat_ZZ *AA=convertFacCFMatrix2NTLmat_ZZ(A); 

45  #if 0 

46  LLL_RR(*AA); 

47  #else 

48  ZZ det2; 

49  LLL(det2,*AA,0L); 

50  #endif 

51  CFMatrix *r= convertNTLmat_ZZ2FacCFMatrix(*AA); 

52  delete AA; 

53  return r; 

54  } 

55  #endif 

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