version 1.1, 2003/11/03 03:11:21 |
version 1.2, 2003/11/08 12:34:00 |
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/* $OpenXM$ */ |
/* $OpenXM: OpenXM/src/ox_ntl/ntl.cpp,v 1.1 2003/11/03 03:11:21 iwane Exp $ */ |
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#include <NTL/ZZXFactoring.h> |
#include <NTL/ZZXFactoring.h> |
#include <NTL/ZZ_pXFactoring.h> |
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#include <iostream> |
#include "ox_toolkit.h" |
#include <strstream> |
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#include "ntl.h" |
#include "ntl.h" |
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#if __NTL_DEBUG |
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#define __NTL_PRINT (1) |
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#endif |
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/*==========================================================================* |
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* Check string format |
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*==========================================================================*/ |
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#define NtlIsSpace(c) ((c) == ' ' || (c) == '\t') |
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#define NtlIsDigit(c) ((c) >= '0' && (c) <= '9') |
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/**************************************************************************** |
/**************************************************************************** |
* |
* |
* test for string format of integer |
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* |
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* PARAM : I : str : string |
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* : O : endptr : |
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* RETURN: !0 : the string tests true |
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* : 0 : the string tests false |
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* |
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****************************************************************************/ |
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static int |
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ntl_isZZstr_(const char *str, char const **endptr) |
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{ |
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while (NtlIsSpace(*str)) |
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str++; |
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/* NTL reject "+999" */ |
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if (*str == '-') |
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str++; |
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if (!NtlIsDigit(*str)) |
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return (0); |
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str++; |
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while (NtlIsDigit(*str)) |
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str++; |
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*endptr = str; |
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return (!0); |
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} |
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static int |
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ntl_isZZstr(const char *str) |
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{ |
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const char *ptr; |
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int ret = ntl_isZZstr_(str, &ptr); |
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if (!ret) |
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return (ret); |
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while (NtlIsSpace(*ptr)) |
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ptr++; |
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return (*ptr == '\0'); |
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} |
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/**************************************************************************** |
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* |
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* test for string format of univariate polynomials with integer coefficients |
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* in NTL style. |
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* |
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* PARAM : I : str : string |
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* : O : endptr : |
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* RETURN: !0 : the string tests true |
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* : 0 : the string tests false |
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* |
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****************************************************************************/ |
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static int |
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ntl_isZZXstr_(const char *str, char const **endptr) |
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{ |
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const char *s; |
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while (NtlIsSpace(*str)) |
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str++; |
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if (*str != '[') |
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return (0); |
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str++; |
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while (*str != ']' && *str != '\0') { |
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if (!ntl_isZZstr_(str, &s)) |
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return (0); |
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str = s; |
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while (NtlIsSpace(*str)) |
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str++; |
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} |
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while (NtlIsSpace(*str)) |
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str++; |
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if (*str != ']') |
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return (0); |
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str++; |
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*endptr = str; |
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return (!0); |
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} |
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static int |
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ntl_isZZXstr(const char *str) |
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{ |
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const char *ptr; |
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int ret = ntl_isZZXstr_(str, &ptr); |
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if (!ret) |
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return (ret); |
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while (NtlIsSpace(*ptr)) |
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ptr++; |
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return (*ptr == '\0'); |
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} |
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/*==========================================================================* |
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* Convert |
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*==========================================================================*/ |
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static cmo_zz * |
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ZZ_to_cmo_zz(const ZZ &z) |
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{ |
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cmo_zz *c; |
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ostrstream sout; |
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sout << z << '\0'; |
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c = new_cmo_zz_set_string(sout.str()); |
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return (c); |
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} |
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static int |
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cmo_to_ZZ(ZZ &z, cmo *c) |
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{ |
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int ret = NTL_SUCCESS; |
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char *str; |
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switch (c->tag) { |
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case CMO_ZERO: |
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z = to_ZZ(0); |
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break; |
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case CMO_ZZ: |
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{ |
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str = new_string_set_cmo(c); |
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istrstream sin(str, strlen(str)); |
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sin >> z; |
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break; |
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} |
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case CMO_INT32: |
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z = to_ZZ(((cmo_int32 *)c)->i); |
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break; |
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case CMO_STRING: |
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{ |
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str = ((cmo_string *)c)->s; |
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if (!ntl_isZZstr(str)) |
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return (NTL_FAILURE); |
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istrstream sin(str, strlen(str)); |
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sin >> z; |
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break; |
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} |
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default: |
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ret = NTL_FAILURE; |
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break; |
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} |
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return (ret); |
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} |
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static int |
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cmo_to_ZZX(ZZX &f, cmo *m, cmo_indeterminate *&x) |
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{ |
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char *str; |
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int ret; |
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switch (m->tag) { |
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case CMO_STRING: /* [ 3 4 7 ] ==> 3+4*x+7*x^2 */ |
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str = ((cmo_string *)m)->s; |
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ret = 0; //ntl_isZZXstr(str); |
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if (!ret) { |
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/* format error */ |
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return (NTL_FAILURE); |
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} |
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{ |
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istrstream sin(str, strlen(str)); |
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sin >> f; |
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} |
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break; |
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case CMO_RECURSIVE_POLYNOMIAL: |
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{ |
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cmo_recursive_polynomial *rec = (cmo_recursive_polynomial *)m; |
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cmo_polynomial_in_one_variable *poly = (cmo_polynomial_in_one_variable *)rec->coef; |
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cell *el; |
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int len; |
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if (poly->tag != CMO_POLYNOMIAL_IN_ONE_VARIABLE) { |
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return (NTL_FAILURE); |
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} |
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el = list_first((cmo_list *)poly); |
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len = list_length((cmo_list *)poly); |
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f = 0; |
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while (!list_endof((cmo_list *)poly, el)) { |
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ZZ c; |
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ostrstream sout; |
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cmo *coef = el->cmo; |
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int exp = el->exp; |
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ret = cmo_to_ZZ(c, coef); |
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if (ret != NTL_SUCCESS) { |
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return (NTL_FAILURE); |
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} |
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SetCoeff(f, exp, c); |
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el = list_next(el); |
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} |
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el = list_first(rec->ringdef); |
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x = (cmo_indeterminate *)el->cmo; |
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break; |
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} |
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default: |
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break; |
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} |
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return (NTL_SUCCESS); |
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} |
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/**************************************************************************** |
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* |
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* |
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* |
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* PARAM : I : arg : polynomial |
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* : I : argc : |
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* RETURN: [[num, 1],[factor1,multiplicity1],[factor2,multiplicity2],...] |
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* |
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* EX : |
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* |
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****************************************************************************/ |
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static cmo_recursive_polynomial * |
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ZZX_to_cmo(ZZX &factor, cmo_indeterminate *x) |
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{ |
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cmo_recursive_polynomial *rec; |
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cmo_polynomial_in_one_variable *poly; |
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cmo_list *ringdef; |
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int i; |
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cmo *coef; |
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ringdef = new_cmo_list(); |
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list_append(ringdef, (cmo *)x); |
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poly = new_cmo_polynomial_in_one_variable(0); |
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for (i = deg(factor); i >= 0; i--) { |
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if (coeff(factor, i) == 0) |
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continue; |
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coef = (cmo *)ZZ_to_cmo_zz(coeff(factor, i)); |
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list_append_monomial((cmo_list *)poly, coef, i); |
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} |
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rec = new_cmo_recursive_polynomial(ringdef, (cmo *)poly); |
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return (rec); |
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} |
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static cmo_list * |
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new_cmo_pair_ZZX_int(ZZX &factors, int d, cmo_indeterminate *x) |
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{ |
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cmo_recursive_polynomial *poly; |
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cmo_int32 *deg; |
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cmo_list *list; |
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poly = ZZX_to_cmo(factors, x); |
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deg = new_cmo_int32(d); |
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list = list_appendl(NULL, poly, deg, NULL); |
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return (list); |
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} |
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/**************************************************************************** |
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* |
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* convert vec_pair_ZZX_long(list of factor and multiplicity) to cmo_list |
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* |
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* PARAM : I : factors : list of factor and multiplicity |
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* : : : [[factor1,multiplicity1][factor2,multiplicity2]...] |
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* : I : x : indeterminate |
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* RETURN: |
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* |
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****************************************************************************/ |
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static cmo_list * |
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factors_to_cmo(vec_pair_ZZX_long &factors, cmo_indeterminate *x) |
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{ |
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int i; |
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cmo_list *list = new_cmo_list(); |
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cmo_list *factor; |
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for (i = 0; i < factors.length(); i++) { |
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factor = new_cmo_pair_ZZX_int(factors[i].a, factors[i].b, x); |
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list_append(list, (cmo *)factor); |
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} |
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return (list); |
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} |
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/**************************************************************************** |
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* |
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* Factorize polynomial over the integers. |
* Factorize polynomial over the integers. |
* |
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* PARAM : I : arg : polynomial |
* PARAM : I : arg : polynomial |
Line 363 ntl_fctr(cmo **arg, int argc) |
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Line 46 ntl_fctr(cmo **arg, int argc) |
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return ((cmo *)new_cmo_error2((cmo *)new_cmo_string("Invalid Parameter(type)"))); |
return ((cmo *)new_cmo_error2((cmo *)new_cmo_string("Invalid Parameter(type)"))); |
} |
} |
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#if __NTL_PRINT |
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cout << "input: " << f << endl; |
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#endif |
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factor(c, factors, f); |
factor(c, factors, f); |
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#if __NTL_PRINT |
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cout << "fctr : " << factors << endl; |
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#endif |
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cmo_zz *zz = ZZ_to_cmo_zz(c); |
cmo_zz *zz = ZZ_to_cmo_zz(c); |
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ans = new_cmo_list(); |
ans = new_cmo_list(); |
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fcts = (cmo *)factors_to_cmo(factors, x); |
fcts = (cmo *)vec_pair_ZZX_long_to_cmo(factors, x); |
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list_appendl(ans, zz, (cmo *)fcts, NULL); |
list_appendl(ans, zz, (cmo *)fcts, NULL); |
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return ((cmo *)ans); |
return ((cmo *)ans); |
} |
} |
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#if __NTL_DEBUG |
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int |
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main(int argc, char *argv[]) |
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{ |
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ZZX f; |
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const char *str = "[1 -1 -1 1]"; |
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int num = 1; |
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char *var = "x"; |
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cmo *c; |
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f = to_ZZ(str);; |
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cmo_indeterminate *x = new_cmo_indeterminate((cmo *)new_cmo_string(var)); |
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cmo_recursive_polynomial *poly = ZZX_to_cmo(f, x); |
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cmo *arg[3]; |
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arg[0] = (cmo *)poly; |
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c = ntl_fctr(arg, num); |
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return (0); |
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} |
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#endif |
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