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278 lines
7.7 KiB
278 lines
7.7 KiB
/**
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* The physical length library. Made for nanometer scale.
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* @file length.h
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*/
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/* sorry it is not styled correctly, i'll work on it further */
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#ifndef LENGTH_H_INCLUDED
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#define LENGTH_H_INCLUDED 1
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/* type to be used by length units by default */
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typedef int DEF_LENGTH_VALUE;
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/**
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* Length template class
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* @param T actual type holding a value (be aware of precision and range!)
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* @param P power of length unit: 1 - length, 2 - area, 3 - volume, -1 - lin. density etc...
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* This class check length dimension in compile time. In runtime it behaves
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* exactly like contained type t (which should be numeric type, like int or double)
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* This class can be replaced with its contained type or simple stub.
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* Check rules:
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* - comparisons (< = etc.), addition, subtraction require values of same dimension
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* e. g. length with length, area with area etc.
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* - multiplication and division result have appropriate dimension (powers
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* added and subtracted respectively)
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* - sqrt and cbrt have appropriate dimensions (P/2 and P/3).
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* Limitations:
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* - functions which should not be applied to dimensioned values are not implemeted:
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* they include algebraic (exp, log...), trigo (sin, cos...), hyperbolic (sinh, cosh..)
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* - pow function is not implemented as it is require dimension check in runtime
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* you should use multiplication, division, sqrt and cbrt functions instead.
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* - sqrt and cbrt result type should be instantiated before they used
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* Be aware when using them in complex formulae, e. g.
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* LENGTH< double, 1 > len = cbrt(vol) - is ok, but
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* LENGTH< double, 2 > vol = sqrt(area*area*area*area)/length - will fail
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* if LENGTH<..., 4> is not instantiated
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* - non-integer power values do not supported
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* they should be implemented carefully using natural fractions, not floats, to be exact
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* but they are very rare so you should not worry about.
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* e. g. linear electric noise density should be in mV/sqrt(m)
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* - automatic numeric type casts are not performed. You even have to manually
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* cast LENGTH< short > to LENGTH< int > or LENGTH< float >
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* to LENGTH< double >. Anyway it is not such trouble as progremmer should be
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* very careful when mixing numeric types and avoid automatic casts.
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*
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*/
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template < typename T = DEF_LENGTH_VALUE, int P = 1 > class LENGTH;
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/**
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* Length units contained in this class
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*/
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template <typename T> class LENGTH_UNITS;
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/**
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* For internal needs
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*/
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template < typename T, int P > struct LENGTH_TRAITS
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{
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typedef LENGTH<T, P> flat;
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};
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template < typename T > struct LENGTH_TRAITS< T, 0 >
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{
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/* length dimension to power 0 is just a number, so LENGTH<T, 0> should be automatically converted to T */
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typedef T flat;
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};
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template < typename T, int P > class LENGTH
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{
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friend class LENGTH_UNITS< T >;
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friend class LENGTH_TRAITS< T, P >;
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template < typename Y, int R > friend class LENGTH;
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protected:
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T m_U;
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LENGTH( T units ) : m_U( units )
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{
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}
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static T RawValue( const LENGTH<T, P> &x )
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{
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return x.m_U;
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}
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static T RawValue( const T& x )
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{
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return x;
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}
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public:
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typedef T value_type;
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enum
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{
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dimension = P
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};
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LENGTH( const LENGTH <T, P> &orig ) : m_U( orig.m_U )
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{
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}
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LENGTH( void ) : m_U()
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{
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}
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static LENGTH<T, P> zero ( void )
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{
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return T(0);
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}
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LENGTH<T, P> & operator = ( const LENGTH<T, P> & y )
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{
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this->m_U = y.m_U;
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return *this;
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}
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template <typename Y> operator LENGTH< Y, P > ( void )
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{
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return this->m_U;
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}
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/*************************/
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/* comparisons and tests */
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/*************************/
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bool operator ==( const LENGTH < T, P > y ) const
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{
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return m_U == y.m_U;
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}
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bool operator !=( const LENGTH < T, P > y ) const
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{
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return m_U != y.m_U;
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}
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bool operator <( const LENGTH < T, P > y ) const
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{
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return m_U < y.m_U;
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}
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bool operator >=( const LENGTH < T, P > y ) const
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{
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return m_U >= y.m_U;
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}
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bool operator >( const LENGTH < T, P > y ) const
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{
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return m_U > y.m_U;
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}
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bool operator <=( const LENGTH < T, P > y ) const
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{
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return m_U <= y.m_U;
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}
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bool operator !( void ) const
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{
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return !m_U;
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}
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/*************************/
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/* basic arithmetic */
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/*************************/
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LENGTH< T, P > operator - ( void ) const
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{
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return LENGTH<T, P>(-this->m_U);
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}
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LENGTH< T, P > operator - ( const LENGTH< T, P > y ) const
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{
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return m_U - y.m_U;
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}
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LENGTH< T, P > operator + ( const LENGTH< T, P > y ) const
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{
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return m_U + y.m_U;
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}
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template < int R >
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typename LENGTH_TRAITS< T, P + R >::flat operator * ( const LENGTH<T, R> &y ) const
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{
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return m_U * y.m_U;
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}
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LENGTH< T, P > operator * ( const T & y) const
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{
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return m_U * y;
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}
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LENGTH< T, P > friend operator * ( const T &y, const LENGTH<T, P> &x )
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{
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return x.m_U * y;
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}
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template < int R >
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typename LENGTH_TRAITS< T, P - R >::flat operator / ( const LENGTH<T, R> &y ) const
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{
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return m_U / y.m_U;
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}
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LENGTH< T, P > operator / ( const T &y ) const
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{
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return m_U / y;
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}
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LENGTH< T, -P > friend operator / ( const T &y, const LENGTH< T, P > &x )
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{
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return y / x.m_U;
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}
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friend LENGTH< T, P > sqrt( LENGTH< T, P*2 > y )
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{
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return sqrt( y.m_U );
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}
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friend LENGTH< T, P > cbrt( LENGTH< T, P*3 > y )
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{
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return cbrt( y.m_U );
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}
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/*************************/
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/* assignment arithmetic */
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/*************************/
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LENGTH< T, P >& operator -= ( const LENGTH< T, P > y )
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{
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return m_U -= y.m_U;
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}
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LENGTH< T, P >& operator += ( const LENGTH< T, P > y )
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{
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return m_U += y.m_U;
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}
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LENGTH< T, P >& operator *= ( const T y )
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{
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return m_U *= y;
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}
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LENGTH< T, P >& operator /= ( const T y )
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{
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return m_U /= y;
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}
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/*************************/
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/* more arithmetic */
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/*************************/
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};
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/**
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* Units of length
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*
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* How to use them:
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* there are several functions, named LENGTH_UNITS< T >::METRE, which return
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* named unit (1 meter in example) which have type LENGTH< T, P >.
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* to get specific length you should use a multiplication:
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* 3*LENGTH_UNITS::metre() gives 3 metres
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* 0.01*LENGTH_UNITS::metre() gives 0.01 inch
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* to get numeric value of length in specific units you should use a division
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* length/LENGTH_UNITS::metre() gives number of metres in length
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* legnth/LENGTH_UNITS::foot() gives number of feet in length
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*/
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template < typename T = DEF_LENGTH_VALUE > class LENGTH_UNITS {
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protected:
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enum
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{
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METRE = 1000000000, /* The ONLY constant connecting length to the real world */
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INCH = METRE / 10000 * 254
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};
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public:
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static LENGTH< T, 1 > metre( void ) {
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return T( METRE );
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}
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static LENGTH< T, 1 > decimetre( void ) {
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return T( METRE / 10 );
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}
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static LENGTH< T, 1 > centimetre( void ) {
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return T( METRE / 100 );
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}
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static LENGTH< T, 1 > millimetre( void ) {
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return T( METRE / 1000 );
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}
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static LENGTH< T, 1 > micrometre( void ) {
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return T( METRE / 1000000 );
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}
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static LENGTH< T, 1 > foot( void ) { /* do not think this will ever need */
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return T( INCH * 12 );
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}
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static LENGTH< T, 1 > inch( void ) {
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return T( INCH );
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}
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static LENGTH< T, 1 > mil( void ) {
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return T( INCH / 1000 );
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}
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};
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/**
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* shortcut to get units of given length type
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*/
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template < typename T, int D > class LENGTH_UNITS< LENGTH< T, D > >: public LENGTH_UNITS< T >
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{
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};
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#endif
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