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bool | aurostd::_ishex (const std::string &) __xprototype |
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template<class utype> |
bool | aurostd::_isodd (utype x) |
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template<class utype> |
bool | aurostd::_iseven (utype x) |
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template<class utype> |
bool | aurostd::_isreal (utype) __xprototype |
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template<class utype> |
bool | aurostd::_iscomplex (utype) __xprototype |
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template<class utype> |
size_t | aurostd::_size (utype) |
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template<class utype> |
size_t | aurostd::_size (xcomplex< utype > x) |
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template<class utype> |
utype | aurostd::abs (utype) __xprototype |
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template<class utype> |
utype | aurostd::sqrt (utype x) |
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template<class utype> |
utype | aurostd::exp (utype x) |
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template<class utype> |
utype | aurostd::sign (utype x) |
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template<class utype> |
utype | aurostd::mod (utype x, utype y) |
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template<class utype> |
utype | aurostd::mod_floored (utype x, utype y) |
| floored mod function e.g. std::fmod(-4.0,+1.1)= -0.7; std::fmod(-4.0,-1.1)= -0.7 std::remainder(-4.0,+1.1)= +0.4; std::remainder(-4.0,-1.1)= +0.4 aurostd::mod_floored(-4.0,+1.1)= +0.4; aurostd::mod_floored(-4.0,-1.1)= -0.7
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template<class utype> |
utype | aurostd::nint (utype x) |
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template<class utype> |
void | aurostd::_GCD (int a, int b, int &gcd, int &x, int &y) |
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template<class utype> |
void | aurostd::_GCD (int a, int b, int &gcd) |
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void | aurostd::GCD (int a, int b, int &gcd, int &x, int &y) |
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void | aurostd::GCD (int a, int b, int &gcd) |
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void | aurostd::GCD (uint a, uint b, uint &gcd, uint &x, uint &y) |
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void | aurostd::GCD (uint a, uint b, uint &gcd) |
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void | aurostd::GCD (long int a, long int b, long int &gcd, long int &x, long int &y) |
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void | aurostd::GCD (long int a, long int b, long int &gcd) |
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void | aurostd::GCD (unsigned long int a, unsigned long int b, unsigned long int &gcd, unsigned long int &x, unsigned long int &y) |
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void | aurostd::GCD (unsigned long int a, unsigned long int b, unsigned long int &gcd) |
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void | aurostd::GCD (long long int a, long long int b, long long int &gcd, long long int &x, long long int &y) |
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void | aurostd::GCD (long long int a, long long int b, long long int &gcd) |
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void | aurostd::GCD (unsigned long long int a, unsigned long long int b, unsigned long long int &gcd, unsigned long long int &x, unsigned long long int &y) |
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void | aurostd::GCD (unsigned long long int a, unsigned long long int b, unsigned long long int &gcd) |
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void | aurostd::GCD (float a, float b, float &gcd, float &x, float &y, float tolerance) |
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void | aurostd::GCD (float a, float b, float &gcd, float tolerance) |
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void | aurostd::GCD (double a, double b, double &gcd, double &x, double &y, double tolerance) |
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void | aurostd::GCD (double a, double b, double &gcd, double tolerance) |
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void | aurostd::GCD (long double a, long double b, long double &gcd, long double &x, long double &y, long double tolerance) |
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void | aurostd::GCD (long double a, long double b, long double &gcd, long double tolerance) |
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int | aurostd::LCM (int a, int b) |
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template<class utype> |
bool | aurostd::isinteger (utype x) |
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template<class atype, class btype> |
bool | aurostd::isinteger (atype x, btype tolerance) |
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template<class utype> |
bool | aurostd::iszero (utype a) |
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template<class atype, class btype> |
bool | aurostd::iszero (atype a, btype tol) |
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string | aurostd::dbl2frac (double a, bool sign_prefix) |
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double | aurostd::frac2dbl (const std::string &str) |
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void | aurostd::double2fraction (const double &input_double, int &numerator, int &denominator, double tol_diff, double tol_remainder) |
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int | aurostd::getNumeratorContinuedFractions (int &p, const int &n, std::vector< int > &fraction_sequence) |
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int | aurostd::getDenominatorContinuedFractions (int &q, const int &n, std::vector< int > &fraction_sequence) |
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template<class utype> |
utype | aurostd::fact (utype x) |
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template<class utype> |
utype | aurostd::factorial (utype x) |
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template<class utype> |
utype | aurostd::angle (utype x1, utype x2, utype x3, utype y1, utype y2, utype y3) |
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template<class utype> |
utype | aurostd::angle (utype x1, utype x2, utype y1, utype y2) |
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template<class utype> |
utype | aurostd::modulus (utype x1, utype x2, utype x3) |
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template<class utype> |
utype | aurostd::modulus (utype x1, utype x2) |
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double | aurostd::ln (double x) |
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float | aurostd::lnf (float) |
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float | aurostd::ln (float) |
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double | aurostd::log (double x) |
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float | aurostd::logf (float) |
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float | aurostd::log (float) |
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double | aurostd::log10 (double x) |
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float | aurostd::log10f (float) |
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float | aurostd::log10 (float) |
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bool | aurostd::_isfloat (bool) |
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bool | aurostd::_isfloat (char) |
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bool | aurostd::_isfloat (uint) |
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bool | aurostd::_isfloat (int) |
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bool | aurostd::_isfloat (long int) |
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bool | aurostd::_isfloat (unsigned long int) |
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bool | aurostd::_isfloat (long long int) |
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bool | aurostd::_isfloat (unsigned long long int) |
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bool | aurostd::_isfloat (float) |
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bool | aurostd::_isfloat (double) |
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bool | aurostd::_isfloat (long double) |
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bool | aurostd::_isfloat (xcomplex< float >) |
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bool | aurostd::_isfloat (xcomplex< double >) |
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bool | aurostd::_isfloat (xcomplex< long double >) |
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bool | aurostd::isfloat (const std::string &in) |
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bool | aurostd::_iscomplex (bool) |
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bool | aurostd::_iscomplex (char) |
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bool | aurostd::_iscomplex (uint) |
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bool | aurostd::_iscomplex (int) |
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bool | aurostd::_iscomplex (long int) |
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bool | aurostd::_iscomplex (unsigned long int) |
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bool | aurostd::_iscomplex (long long int) |
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bool | aurostd::_iscomplex (unsigned long long int) |
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bool | aurostd::_iscomplex (float) |
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bool | aurostd::_iscomplex (double) |
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bool | aurostd::_iscomplex (long double) |
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bool | aurostd::_iscomplex (xcomplex< float >) |
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bool | aurostd::_iscomplex (xcomplex< double >) |
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bool | aurostd::_iscomplex (xcomplex< long double >) |
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bool | aurostd::_isreal (bool) |
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bool | aurostd::_isreal (char) |
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bool | aurostd::_isreal (uint) |
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bool | aurostd::_isreal (int) |
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bool | aurostd::_isreal (long int) |
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bool | aurostd::_isreal (unsigned long int) |
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bool | aurostd::_isreal (long long int) |
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bool | aurostd::_isreal (unsigned long long int) |
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bool | aurostd::_isreal (float) |
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bool | aurostd::_isreal (double) |
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bool | aurostd::_isreal (long double) |
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bool | aurostd::_isreal (xcomplex< float >) |
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bool | aurostd::_isreal (xcomplex< double >) |
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bool | aurostd::_isreal (xcomplex< long double >) |
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bool | aurostd::_iseven (bool) __xprototype |
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bool | aurostd::_iseven (char) __xprototype |
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bool | aurostd::_iseven (int x) |
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bool | aurostd::_iseven (uint x) |
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bool | aurostd::_iseven (float) __xprototype |
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bool | aurostd::_iseven (double) __xprototype |
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bool | aurostd::_iseven (long int x) |
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bool | aurostd::_iseven (long long int x) |
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bool | aurostd::_iseven (unsigned long long int x) |
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bool | aurostd::_iseven (long double) __xprototype |
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bool | aurostd::_iseven (xcomplex< float >) __xprototype |
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bool | aurostd::_iseven (xcomplex< double >) __xprototype |
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bool | aurostd::_iseven (xcomplex< long double >) __xprototype |
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bool | aurostd::_isodd (bool) __xprototype |
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bool | aurostd::_isodd (char) __xprototype |
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bool | aurostd::_isodd (int x) |
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bool | aurostd::_isodd (uint x) |
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bool | aurostd::_isodd (float) __xprototype |
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bool | aurostd::_isodd (double) __xprototype |
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bool | aurostd::_isodd (long int x) |
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bool | aurostd::_isodd (long long int x) |
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bool | aurostd::_isodd (unsigned long long int x) |
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bool | aurostd::_isodd (long double) __xprototype |
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bool | aurostd::_isodd (xcomplex< float >) __xprototype |
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bool | aurostd::_isodd (xcomplex< double >) __xprototype |
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bool | aurostd::_isodd (xcomplex< long double >) __xprototype |
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bool | aurostd::_real (bool x) |
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char | aurostd::_real (char x) |
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uint | aurostd::_real (uint x) |
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int | aurostd::_real (int x) |
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long int | aurostd::_real (long int x) |
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unsigned long int | aurostd::_real (unsigned long int x) |
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long long int | aurostd::_real (long long int x) |
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unsigned long long int | aurostd::_real (unsigned long long int x) |
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float | aurostd::_real (float x) |
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double | aurostd::_real (double x) |
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long double | aurostd::_real (long double x) |
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float | aurostd::_real (xcomplex< float > x) |
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double | aurostd::_real (xcomplex< double > x) |
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long double | aurostd::_real (xcomplex< long double > x) |
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bool | aurostd::signnozero (bool) __xprototype |
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char | aurostd::signnozero (char x) |
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int | aurostd::signnozero (int x) |
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uint | aurostd::signnozero (uint) __xprototype |
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float | aurostd::signnozero (float x) |
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double | aurostd::signnozero (double x) |
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long int | aurostd::signnozero (long int x) |
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long long int | aurostd::signnozero (long long int x) |
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long double | aurostd::signnozero (long double x) |
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xcomplex< float > | aurostd::signnozero (xcomplex< float >) __xprototype |
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xcomplex< double > | aurostd::signnozero (xcomplex< double >) __xprototype |
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xcomplex< long double > | aurostd::signnozero (xcomplex< long double >) __xprototype |
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bool | aurostd::nint (bool) __xprototype |
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char | aurostd::nint (char x) |
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int | aurostd::nint (int x) |
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uint | aurostd::nint (uint x) |
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float | aurostd::nint (float x) |
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double | aurostd::nint (double x) |
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long int | aurostd::nint (long int x) |
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long long int | aurostd::nint (long long int x) |
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long long unsigned int | aurostd::nint (long long unsigned int x) |
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long double | aurostd::nint (long double x) |
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xcomplex< float > | aurostd::nint (xcomplex< float >) __xprototype |
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xcomplex< double > | aurostd::nint (xcomplex< double >) __xprototype |
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xcomplex< long double > | aurostd::nint (xcomplex< long double >) __xprototype |
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char | aurostd::abs (char x) |
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int | aurostd::abs (int x) |
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uint | aurostd::abs (uint x) |
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float | aurostd::abs (float x) |
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double | aurostd::abs (double x) |
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long int | aurostd::abs (long int x) |
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long long int | aurostd::abs (long long int x) |
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unsigned long int | aurostd::abs (unsigned long int x) |
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unsigned long long int | aurostd::abs (unsigned long long int x) |
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long double | aurostd::abs (long double x) |
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float | aurostd::abs (xcomplex< float > x) |
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double | aurostd::abs (xcomplex< double > x) |
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long double | aurostd::abs (xcomplex< long double > x) |
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template<class utype> |
utype | aurostd::pow (utype x, utype d) |
|
double | aurostd::round (double x, uint digits) |
| rounds a real number to arbitrary digits
|
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int | aurostd::roundDouble (double doub, int multiple, bool up) |
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bool | aurostd::greaterEqualZero (double val) |
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bool | aurostd::lessEqualZero (double val) |
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bool | aurostd::notPositive (double val, bool soft_cutoff, double tol) |
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bool | aurostd::notNegative (double val, bool soft_cutoff, double tol) |
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bool | aurostd::zeroWithinTol (double val, double tol) |
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bool | aurostd::nonZeroWithinTol (double val, double tol) |
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template<class utype> |
bool | aurostd::identical (const utype &a, const utype &b, const utype &_tol_) |
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template<class utype> |
bool | aurostd::identical (const utype &a, const utype &b) |
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bool | aurostd::identical (const bool a, const bool b) |
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bool | aurostd::identical (const char a, const char b) |
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bool | aurostd::identical (const std::string &a, const std::string &b) |
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template<class utype> |
bool | aurostd::isdifferent (const utype &a, const utype &b, const utype &_tol_) |
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template<class utype> |
bool | aurostd::isdifferent (const utype &a, const utype &b) |
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bool | aurostd::isdifferent (const bool a, const bool b) |
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bool | aurostd::isdifferent (const char a, const char b) |
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bool | aurostd::isdifferent (const std::string &a, const std::string &b) |
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template<class utype> |
bool | aurostd::isequal (const utype &a, const utype &b, const utype &_tol_) |
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template<class utype> |
bool | aurostd::isequal (const utype &a, const utype &b) |
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bool | aurostd::isequal (const bool a, const bool b) |
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bool | aurostd::isequal (const char a, const char b) |
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bool | aurostd::isequal (const std::string &a, const std::string &b) |
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template<class utype> |
utype | aurostd::min (utype x1, utype x2) |
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template<class utype> |
utype | aurostd::min (utype x1, utype x2, utype x3) |
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template<class utype> |
utype | aurostd::min (utype x1, utype x2, utype x3, utype x4) |
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template<class utype> |
utype | aurostd::min (utype x1, utype x2, utype x3, utype x4, utype x5) |
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template<class utype> |
utype | aurostd::min (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6) |
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template<class utype> |
utype | aurostd::min (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7) |
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template<class utype> |
utype | aurostd::min (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7, utype x8) |
|
template<class utype> |
utype | aurostd::min (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7, utype x8, utype x9) |
|
template<class utype> |
utype | aurostd::min (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7, utype x8, utype x9, utype x10) |
|
template<class utype> |
utype | aurostd::min (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7, utype x8, utype x9, utype x10, utype x11) |
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template<class utype> |
utype | aurostd::min (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7, utype x8, utype x9, utype x10, utype x11, utype x12) |
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template<class utype> |
utype | aurostd::max (utype x1, utype x2) |
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template<class utype> |
utype | aurostd::max (utype x1, utype x2, utype x3) |
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template<class utype> |
utype | aurostd::max (utype x1, utype x2, utype x3, utype x4) |
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template<class utype> |
utype | aurostd::max (utype x1, utype x2, utype x3, utype x4, utype x5) |
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template<class utype> |
utype | aurostd::max (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6) |
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template<class utype> |
utype | aurostd::max (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7) |
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template<class utype> |
utype | aurostd::max (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7, utype x8) |
|
template<class utype> |
utype | aurostd::max (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7, utype x8, utype x9) |
|
template<class utype> |
utype | aurostd::max (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7, utype x8, utype x9, utype x10) |
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template<class utype> |
utype | aurostd::max (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7, utype x8, utype x9, utype x10, utype x11) |
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template<class utype> |
utype | aurostd::max (utype x1, utype x2, utype x3, utype x4, utype x5, utype x6, utype x7, utype x8, utype x9, utype x10, utype x11, utype x12) |
|
template<class utype> |
utype | aurostd::_roundoff (const utype &x, utype tolerance) |
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int | aurostd::roundoff (int x, int tolerance) |
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long | aurostd::roundoff (long x, long tolerance) |
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uint | aurostd::roundoff (uint x, uint tolerance) |
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float | aurostd::roundoff (float x, float tolerance) |
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double | aurostd::roundoff (double x, double tolerance) |
|
long long int | aurostd::roundoff (long long int x, long long int tolerance) |
|
unsigned long int | aurostd::roundoff (unsigned long int x, unsigned long int tolerance) |
|
unsigned long long int | aurostd::roundoff (unsigned long long int x, unsigned long long int tolerance) |
|
long double | aurostd::roundoff (long double x, long double tolerance) |
|
int | aurostd::boundary_conditions_periodic (int lrows, int urows, int i) |
|
uint | aurostd::powint (uint x, uint exp) |
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int | aurostd::powint (int x, uint exp) |
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long int | aurostd::powint (long int x, uint exp) |
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unsigned long int | aurostd::powint (unsigned long int x, uint exp) |
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long long int | aurostd::powint (long long int x, uint exp) |
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unsigned long long int | aurostd::powint (unsigned long long int x, uint exp) |
|
double | aurostd::FermiDirac (double E, double mu, double T) |
|
template<class utype> |
utype | aurostd::nCk (utype n, utype k) |
|
bool | aurostd::isNaN (double d) |
|