?? lll.h
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#ifndef NTL_LLL__H#define NTL_LLL__H#include <NTL/mat_ZZ.h>#include <NTL/mat_RR.h>NTL_OPEN_NNSlong LLL(ZZ& det, mat_ZZ& B, long verbose = 0);long LLL(ZZ& det, mat_ZZ& B, mat_ZZ& U, long verbose = 0);long LLL(ZZ& det, mat_ZZ& B, long a, long b, long verbose = 0);long LLL(ZZ& det, mat_ZZ& B, mat_ZZ& U, long a, long b, long verbose = 0);long image(ZZ& det, mat_ZZ& B, long verbose = 0);long image(ZZ& det, mat_ZZ& B, mat_ZZ& U, long verbose = 0);typedef long (*LLLCheckFct)(const vec_ZZ&); extern double LLLStatusInterval;extern char *LLLDumpFile;// classical Gramm-Schmidt versionslong LLL_FP(mat_ZZ& B, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long LLL_FP(mat_ZZ& B, mat_ZZ& U, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long BKZ_FP(mat_ZZ& BB, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0) ;long BKZ_FP(mat_ZZ& BB, mat_ZZ& U, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long LLL_XD(mat_ZZ& B, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long LLL_XD(mat_ZZ& B, mat_ZZ& U, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long BKZ_XD(mat_ZZ& BB, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long BKZ_XD(mat_ZZ& BB, mat_ZZ& U, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long LLL_QP(mat_ZZ& B, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long LLL_QP(mat_ZZ& B, mat_ZZ& U, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long BKZ_QP(mat_ZZ& BB, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long BKZ_QP(mat_ZZ& BB, mat_ZZ& U, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long BKZ_QP1(mat_ZZ& BB, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long BKZ_QP1(mat_ZZ& BB, mat_ZZ& U, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long LLL_RR(mat_ZZ& B, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long LLL_RR(mat_ZZ& B, mat_ZZ& U, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long BKZ_RR(mat_ZZ& BB, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long BKZ_RR(mat_ZZ& BB, mat_ZZ& U, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);// Givens rotations versionslong G_LLL_FP(mat_ZZ& B, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long G_LLL_FP(mat_ZZ& B, mat_ZZ& U, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long G_BKZ_FP(mat_ZZ& BB, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0) ;long G_BKZ_FP(mat_ZZ& BB, mat_ZZ& U, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long G_LLL_XD(mat_ZZ& B, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long G_LLL_XD(mat_ZZ& B, mat_ZZ& U, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long G_BKZ_XD(mat_ZZ& BB, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long G_BKZ_XD(mat_ZZ& BB, mat_ZZ& U, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long G_LLL_QP(mat_ZZ& B, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long G_LLL_QP(mat_ZZ& B, mat_ZZ& U, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long G_BKZ_QP(mat_ZZ& BB, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long G_BKZ_QP(mat_ZZ& BB, mat_ZZ& U, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long G_BKZ_QP1(mat_ZZ& BB, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long G_BKZ_QP1(mat_ZZ& BB, mat_ZZ& U, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long G_LLL_RR(mat_ZZ& B, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long G_LLL_RR(mat_ZZ& B, mat_ZZ& U, double delta = 0.99, long deep = 0, LLLCheckFct check = 0, long verbose = 0);long G_BKZ_RR(mat_ZZ& BB, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);long G_BKZ_RR(mat_ZZ& BB, mat_ZZ& U, double delta=0.99, long BlockSize=10, long prune=0, LLLCheckFct check = 0, long verbose = 0);void ComputeGS(const mat_ZZ& B, mat_RR& mu, vec_RR& c);void NearVector(vec_ZZ& ww, const mat_ZZ& BB, const vec_ZZ& a);NTL_CLOSE_NNS#endif
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