MathTools Namespace Reference

Functions
bool	isPrime (unsigned int n)
int	jacobiSymbol (int a_, unsigned b)
vector< unsigned int >	primeFactorsWithoutSquares (unsigned int n)
mpz_class	sqrtQuotient (const mpz_class &numerator, const mpz_class &denominator)
mpz_class	sqrtSupQuotient (const mpz_class &numerator, const mpz_class &denominator)
template<typename Type >
std::enable_if< std::is_unsigned< Type >::value, Type >::type	integerSqrt (Type n)
template<typename Type >
std::enable_if< std::is_unsigned< Type >::value, Type >::type	sqrtSup (Type n)
template<typename Type >
vector< typename std::enable_if< std::is_unsigned< Type >::value, Type >::type >	listDivisors (const Type &n, const bool &nonTrivialOnly=false)
template<typename Type >
std::enable_if< std::is_unsigned< Type >::value, Type >::type	ugcd (Type u, Type v)
int	jacobiSymbol (int a, unsigned int b)
template<typename Type >
vector< Type >	primeFactors (const Type &n)
template<typename Type >
std::enable_if< std::is_unsigned< Type >::value, map< Type, unsignedint > >::type	primeDecomposition (Type n)
template<typename Type >
Type	iRemoveSquareFactors (Type n)
template<typename Type >
Type	ceilQuotient (const Type &numerator, const Type &denominator)
template<typename Type >
std::enable_if< std::is_unsigned< Type >::value, Type >::type	sqrtQuotient (const Type &numerator, const Type &denominator)
template<typename Type >
std::enable_if< std::is_unsigned< Type >::value, Type >::type	sqrtSupQuotient (const Type &numerator, const Type &denominator)

Variables
unsigned int	iSmallPrimeNumbers [1229]

Function Documentation

ceilQuotient()

template<typename Type >

Type MathTools::ceilQuotient ( const Type &  numerator, const Type &  denominator  )

inline

integerSqrt()

template<typename Type >

std::enable_if< std::is_unsigned< Type >::value, Type >::type MathTools::integerSqrt

(

Type

n

)

iRemoveSquareFactors()

template<typename Type >

Type MathTools::iRemoveSquareFactors

(

Type

n

)

isPrime()

bool MathTools::isPrime

(

unsigned int

n

)

jacobiSymbol() [1/2]

int MathTools::jacobiSymbol	(	int	a,
		unsigned int	b
	)

jacobiSymbol() [2/2]

int MathTools::jacobiSymbol	(	int	a_,
		unsigned	b
	)

listDivisors()

template<typename Type >

vector< typename std::enable_if< std::is_unsigned< Type >::value, Type >::type > MathTools::listDivisors	(	const Type &	n,
		const bool &	nonTrivialOnly = false
	)

primeDecomposition()

template<typename Type >

std::enable_if< std::is_unsigned< Type >::value, map< Type, unsignedint > >::type MathTools::primeDecomposition

(

Type

n

)

primeFactors()

template<typename Type >

vector< Type > MathTools::primeFactors

(

const Type &

n

)

primeFactorsWithoutSquares()

vector< unsigned int > MathTools::primeFactorsWithoutSquares

(

unsigned int

n

)

sqrtQuotient() [1/2]

mpz_class MathTools::sqrtQuotient	(	const mpz_class &	numerator,
		const mpz_class &	denominator
	)

sqrtQuotient() [2/2]

template<typename Type >

std::enable_if< std::is_unsigned< Type >::value, Type >::type MathTools::sqrtQuotient	(	const Type &	numerator,
		const Type &	denominator
	)

sqrtSup()

template<typename Type >

std::enable_if< std::is_unsigned< Type >::value, Type >::type MathTools::sqrtSup

(

Type

n

)

sqrtSupQuotient() [1/2]

mpz_class MathTools::sqrtSupQuotient	(	const mpz_class &	numerator,
		const mpz_class &	denominator
	)

sqrtSupQuotient() [2/2]

template<typename Type >

std::enable_if< std::is_unsigned< Type >::value, Type >::type MathTools::sqrtSupQuotient	(	const Type &	numerator,
		const Type &	denominator
	)

ugcd()

template<typename Type >

std::enable_if< std::is_unsigned< Type >::value, Type >::type MathTools::ugcd	(	Type	u,
		Type	v
	)

Variable Documentation

iSmallPrimeNumbers

unsigned int MathTools::iSmallPrimeNumbers