Simbody
Functions

square()

Scalar Functions

y=square(x) returns the square of the argument for any numeric type. More...

Functions

unsigned char SimTK::square (unsigned char u)
unsigned short SimTK::square (unsigned short u)
unsigned int SimTK::square (unsigned int u)
unsigned long SimTK::square (unsigned long u)
unsigned long long SimTK::square (unsigned long long u)
char SimTK::square (char c)
signed char SimTK::square (signed char i)
short SimTK::square (short i)
int SimTK::square (int i)
long SimTK::square (long i)
long long SimTK::square (long long i)
float SimTK::square (const float &x)
double SimTK::square (const double &x)
long double SimTK::square (const long double &x)
float SimTK::square (const negator< float > &x)
double SimTK::square (const negator< double > &x)
long double SimTK::square (const negator< long double > &x)
template<class P >
std::complex< P > SimTK::square (const std::complex< P > &x)
template<class P >
std::complex< P > SimTK::square (const conjugate< P > &x)
template<class P >
std::complex< P > SimTK::square (const negator< std::complex< P > > &x)
template<class P >
std::complex< P > SimTK::square (const negator< conjugate< P > > &x)

Detailed Description

y=square(x) returns the square of the argument for any numeric type.

We promise to evaluate x only once. We assume is is acceptable for the result type to be the same as the argument type; if it won't fit caller must cast argument to a wider type first. This is an inline routine which will run as fast as an explicit multiply (x*x) in optimized code, and somewhat faster for complex and conjugate types (5 flops instead of the usual 6).

Squaring a negated number loses the negator at no cost; squaring a conjugate number returns a complex result at no additional cost.


Function Documentation

unsigned char SimTK::square ( unsigned char  u) [inline]
unsigned short SimTK::square ( unsigned short  u) [inline]
unsigned int SimTK::square ( unsigned int  u) [inline]
unsigned long SimTK::square ( unsigned long  u) [inline]
unsigned long long SimTK::square ( unsigned long long  u) [inline]
char SimTK::square ( char  c) [inline]
signed char SimTK::square ( signed char  i) [inline]
short SimTK::square ( short  i) [inline]
int SimTK::square ( int  i) [inline]
long SimTK::square ( long  i) [inline]
long long SimTK::square ( long long  i) [inline]
float SimTK::square ( const float &  x) [inline]
double SimTK::square ( const double &  x) [inline]
long double SimTK::square ( const long double &  x) [inline]
float SimTK::square ( const negator< float > &  x) [inline]
double SimTK::square ( const negator< double > &  x) [inline]
long double SimTK::square ( const negator< long double > &  x) [inline]
template<class P >
std::complex<P> SimTK::square ( const std::complex< P > &  x) [inline]
template<class P >
std::complex<P> SimTK::square ( const conjugate< P > &  x) [inline]
template<class P >
std::complex<P> SimTK::square ( const negator< std::complex< P > > &  x) [inline]
template<class P >
std::complex<P> SimTK::square ( const negator< conjugate< P > > &  x) [inline]
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