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| QuadraticIntegerBig (const int &iVal) |
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| QuadraticIntegerBig (const mpz_class &iVal) |
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| QuadraticIntegerBig (const QuadraticIntegerBig &qi) |
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| QuadraticIntegerBig (const QuadraticInteger &qi) |
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| QuadraticIntegerBig (const int &a, const int &b) |
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| QuadraticIntegerBig (const mpz_class &a, const mpz_class &b) |
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AlgebraicInteger * | copy () const |
| Create a copy of an algebraic integer. More...
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AlgebraicInteger * | aiCopyToInteger (const int &n) const |
| Create an algebraic integer from an integer. More...
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virtual void | set (const int &n) |
| Assign an integer to the algebraic integer. More...
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virtual void | set (AlgebraicInteger *ai) |
| Assign an algebraic integer to the algebraic integer. More...
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virtual void | removeSquareFactors () |
| Remove all the square factors of the algebraic integer.
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virtual bool | bIsInvertible () const |
| Check whether the number is invertible. More...
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virtual bool | bIsSquareOfIvertible () const |
| Check whether the number is the square of an invertible element. More...
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virtual void | gcd (const AlgebraicInteger *ai) |
| *this becomes the gcd of *this and the parameter More...
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virtual bool | bIsDivisbleBy (const AlgebraicInteger *) const |
| Check whether *this is divisible by the parameter. More...
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virtual void | divideBy (const AlgebraicInteger *ai) |
| Performs the division of *this by the parameter Remark: we do not check that the *this is divisible by *ai. If it is not the case, the division will be an approximation! More...
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virtual bool | divideByIfDivisible (const AlgebraicInteger *ai) |
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virtual void | multiplyBy (const int &n) |
| Performs the multiplication of *this by the parameter. More...
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virtual void | multiplyBy (const AlgebraicInteger *ai) |
| Performs the multiplication of *this by the parameter. More...
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virtual void | add (const AlgebraicInteger *ai) |
| Performs the addition of *this by the parameter. More...
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virtual void | substract (const AlgebraicInteger *ai) |
| Substracts the parameter from *this. More...
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virtual void | opp () |
| Computes the opp.
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virtual bool | bIsLessThan (const int &n) const |
| Check whether *this < n.
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virtual bool | bIsLessThan (const long int &n) const |
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virtual bool | bIsLessThan (const AlgebraicInteger &ai) const |
| Check whether *this < ai.
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virtual bool | bIsLessOEThan (const AlgebraicInteger &ai) const |
| Check whether *this <= ai.
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virtual bool | bIsGreaterThan (const int &n) const |
| Check whether *this > n.
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virtual bool | bIsGreaterThan (const long int &n) const |
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virtual bool | bIsGreaterOEThan (const int &n) const |
| Check whether *this >= n.
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virtual bool | bIsEqualTo (const AlgebraicInteger &ai) const |
| Check whether *this == ai.
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virtual bool | bIsEqualTo (const int &n) const |
| Check whether *this == n.
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ostream & | print (ostream &) const |
| Print the number.
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virtual string | to_string (const string &strFormat="generic", const bool &bProtect=false) const |
| Convert to string. More...
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virtual double | to_double () const |
| Convert to double (approximation)
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virtual string | get_classname () const |
| Return the type (string)
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mpz_class | floor () const |
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void | conjugate () |
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mpz_class | iNorm () const |
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mpz_class | iTrace () const |
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int | iValuation (const QuadraticIntegerBig &qi) |
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vector< QuadraticIntegerBig > | qiPrimeFactors () const |
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map< QuadraticIntegerBig, unsigned int > | qiPrimeDecomposition () const |
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bool | bIsAssociateTo (QuadraticIntegerBig qi2) |
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QuadraticIntegerBig & | operator= (const QuadraticIntegerBig &) |
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QuadraticIntegerBig & | operator/= (QuadraticIntegerBig const &qi) |
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QuadraticIntegerBig & | operator*= (QuadraticIntegerBig const &qi) |
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QuadraticIntegerBig | operator+ (const QuadraticIntegerBig &) const |
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QuadraticIntegerBig | operator* (const QuadraticIntegerBig &) const |
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QuadraticIntegerBig | operator- (const QuadraticIntegerBig &) const |
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QuadraticIntegerBig | operator- () const |
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bool | operator== (const long int &) const |
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bool | operator== (const QuadraticIntegerBig &) const |
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bool | operator> (const QuadraticIntegerBig &) const |
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bool | operator== (const AlgebraicInteger &ai) const |
| Check whether *this == ai.
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bool | operator!= (const int &n) const |
| Check whether *this != n.
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bool | operator!= (const AlgebraicInteger &ai) const |
| Check whether *this != ai.
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