X-Git-Url: https://pd.if.org/git/?a=blobdiff_plain;f=includes%2Fcomplex.h;fp=includes%2Fcomplex.h;h=6abc92a39e7537d976e49dde76903b92ab597504;hb=1e221deb9ee725a14b3656f94e2763f8faeb18dc;hp=0000000000000000000000000000000000000000;hpb=9712362f98b90c1a2aeec9fd877b0b872b6378c7;p=pdclib diff --git a/includes/complex.h b/includes/complex.h new file mode 100644 index 0000000..6abc92a --- /dev/null +++ b/includes/complex.h @@ -0,0 +1,262 @@ +// ---------------------------------------------------------------------------- +// $Id$ +// ---------------------------------------------------------------------------- +// Public Domain C Library - http://pdclib.sourceforge.net +// This code is Public Domain. Use, modify, and redistribute at will. +// ---------------------------------------------------------------------------- +// Provides the types float _Complex, double _Complex and long double _Complex +// plus math functions on those types. +// ---------------------------------------------------------------------------- + +#ifndef __COMPLEX_H +#define __COMPLEX_H __COMPLEX_H + +// ---------------------------------------------------------------------------- +// DEFINES + +// TODO: #defines for complex, _Complex_I, imaginary, _Imaginary_I, and I. + +// ---------------------------------------------------------------------------- +// FUNCTIONS - C++ + +#ifdef __cplusplus + +// These functions return the absolute value (magnitude) of their parameter. +double abs( double _Complex x ); +float abs( float _Complex x ); +long double abs( long double _Complex x ); +double fabs( double _Complex x ); +float fabs( float _Complex x ); +long double fabs( long double _Complex x ); + +// These functions return the sine of their parameter. +double _Complex sin( double _Complex x ); +float _Complex sin( float _Complex x ); +long double _Complex sin( long double _Complex x ); + +// These functions return the hyperbolic sine of their parameter. +double _Complex sinh( double _Complex x ); +float _Complex sinh( float _Complex x ); +long double _Complex sinh( long double _Complex x ); + +// These functions return the arcsine of their parameter. +double _Complex asin( double _Complex x ); +float _Complex asin( float _Complex x ); +long double _Complex asin( long double _Complex x ); + +// These functions return the hyperbolic arcsine of their parameter. +double _Complex asinh( double _Complex x ); +float _Complex asinh( float _Complex x ); +long double _Complex asinh( long double _Complex x ); + +// These functions return the cosine of their parameter. +double _Complex cos( double _Complex x ); +float _Complex cos( float _Complex x ); +long double _Complex cos( long double _Complex x ); + +// These functions return the hyperbolic cosine of their parameter. +double _Complex cosh( double _Complex x ); +float _Complex cosh( float _Complex x ); +long double _Complex cosh( long double _Complex x ); + +// These functions return the arccosine of their parameter. +double _Complex acos( double _Complex x ); +float _Complex acos( float _Complex x ); +long double _Complex acos( long double _Complex x ); + +// These functions return the hyperbolic arccosine of their parameter. +double _Complex acosh( double _Complex x ); +float _Complex acosh( float _Complex x ); +long double _Complex acosh( long double _Complex x ); + +// These functions return the tangent of their parameter. +double _Complex tan( double _Complex x ); +float _Complex tan( float _Complex x ); +long double _Complex tan( long double _Complex x ); + +// These functions return the hyperbolic tangent of their parameter. +double _Complex tanh( double _Complex x ); +float _Complex tanh( float _Complex x ); +long double _Complex tanh( long double _Complex x ); + +// These functions return the arctangent of their parameter. +double _Complex atan( double _Complex x ); +float _Complex atan( float _Complex x ); +long double _Complex atan( long double _Complex x ); + +// These functions return the hyperbolic arctangent of their parameter. +double _Complex atanh( double _Complex x ); +float _Complex atanh( float _Complex x ); +long double _Complex atanh( long double _Complex x ); + +// These functions return the imaginary part of their parameter. +double imag( double _Complex x ); +float imag( float _Complex x ); +long double imag( long double _Complex x ); +float cimag( float _Complex x ); +long double cimag( long double _Complex x ); + +// These functions return the real part of their parameter. +double real( double _Complex x ); +float real( float _Complex x ); +long double real( long double _Complex x ); +float creal( float _Complex x ); +long double creal( long double _Complex x ); + +// These functions return value^exponent. +double _Complex pow( double _Complex value, + double _Complex exponent ); +float _Complex pow( float _Complex value, + float _Complex exponent ); +long double _Complex pow( long double _Complex value, + long double _Complex exponent ); + +// These functions return the square root of their parameter. +double _Complex sqrt( double _Complex x ); +float _Complex sqrt( float _Complex x ); +long double _Complex sqrt( long double _Complex x ); + +// These functions return the exponential of their parameter. +double _Complex exp( double _Complex x ); +float _Complex exp( float _Complex x ); +long double _Complex exp( long double _Complex x ); + +// These functions return the logarithm of their parameter. +double _Complex log( double _Complex x ); +float _Complex log( float _Complex x ); +long double _Complex log( long double _Complex x ); + +// These functions return the phase angle of their parameter. +double arg( double _Complex x ); +float arg( float _Complex x ); +long double arg( long double _Complex x ); +float carg( float _Complex x ); +long double carg( long double _Complex x ); + +// These functions return the conjugate of their parameter. +float _Complex conj( float _Complex x ); +long double _Complex conj( long double _Complex x ); + +// These functions return the projection of their parameter. +float _Complex cproj( float _Complex x ); +long double _Complex cproj( long double _Complex x ); + +#endif // __cplusplus + +// ---------------------------------------------------------------------------- +// FUNCTIONS - Standard C + +// These functions return the absolute value (magnitude) of their parameter. +double cabs( double _Complex x ); +float cabsf( float _Complex x ); +long double cabsl( long double _Complex x ); + +// These functions return the sine of their parameter. +double _Complex csin( double _Complex x ); +float _Complex csinf( float _Complex x ); +long double _Complex csinl( long double _Complex x ); + +// These functions return the hyperbolic sine of their parameter. +double _Complex csinh( double _Complex x ); +float _Complex csinhf( float _Complex x ); +long double _Complex csinhl( long double _Complex x ); + +// These functions return the arcsine of their parameter. +double _Complex casin( double _Complex x ); +float _Complex casinf( float _Complex x ); +long double _Complex casinl( long double _Complex x ); + +// These functions return the hyperbolic arcsine of their parameter. +double _Complex casinh( double _Complex x ); +float _Complex casinhf( float _Complex x ); +long double _Complex casinhl( long double _Complex x ); + +// These functions return the cosine of their parameter. +double _Complex ccos( double _Complex x ); +float _Complex ccosf( float _Complex x ); +long double _Complex ccosl( long double _Complex x ); + +// These functions return the hyperbolic cosine of their parameter. +double _Complex ccosh( double _Complex x ); +float _Complex ccoshf( float _Complex x ); +long double _Complex ccoshl( long double _Complex x ); + +// These functions return the arccosine of their parameter. +double _Complex cacos( double _Complex x ); +float _Complex cacosf( float _Complex x ); +long double _Complex cacosl( long double _Complex x ); + +// These functions return the hyperbolic arccosine of their parameter. +double _Complex cacosh( double _Complex x ); +float _Complex cacoshf( float _Complex x ); +long double _Complex cacoshl( long double _Complex x ); + +// These functions return the tangent of their parameter. +double _Complex ctan( double _Complex x ); +float _Complex ctanf( float _Complex x ); +long double _Complex ctanl( long double _Complex x ); + +// These functions return the hyperbolic tangent of their parameter. +double _Complex ctanh( double _Complex x ); +float _Complex ctanhf( float _Complex x ); +long double _Complex ctanhl( long double _Complex x ); + +// These functions return the arctangent of their parameter. +double _Complex catan( double _Complex x ); +float _Complex catanf( float _Complex x ); +long double _Complex catanl( long double _Complex x ); + +// These functions return the hyperbolic arctangent of their parameter. +double _Complex catanh( double _Complex x ); +float _Complex catanhf( float _Complex x ); +long double _Complex catanhl( long double _Complex x ); + +// These functions return the imaginary part of their parameter. +double cimag( double _Complex x ); +float cimagf( float _Complex x ); +long double cimagl( long double _Complex x ); + +// These functions return the real part of their parameter. +double creal( double _Complex x ); +float crealf( float _Complex x ); +long double creall( long double _Complex x ); + +// These functions return value^exponent. +double _Complex cpow( double _Complex value, + double _Complex exponent ); +float _Complex cpowf( float _Complex value, + float _Complex exponent ); +long double _Complex cpowl( long double _Complex value, + long double _Complex exponent ); + +// These functions return the square root of their parameter. +double _Complex csqrt( double _Complex x ); +float _Complex csqrtf( float _Complex x ); +long double _Complex csqrtl( long double _Complex x ); + +// These functions return the exponential of their parameter. +double _Complex cexp( double _Complex x ); +float _Complex cexpf( float _Complex x ); +long double _Complex cexpl( long double _Complex x ); + +// These functions return the logarithm of their parameter. +double _Complex clog( double _Complex x ); +float _Complex clogf( float _Complex x ); +long double _Complex clogl( long double _Complex x ); + +// These functions return the phase angle of their value. +double carg( double _Complex x ); +float cargf( float _Complex x ); +long double cargl( long double _Complex x ); + +// These functions return the conjugate of their parameter. +double _Complex conj( double _Complex x ); +float _Complex conjf( float _Complex x ); +long double _Complex conjl( long double _Complex x ); + +// These functions return the projection of their parameter. +double _Complex cproj( double _Complex x ); +float _Complex cprojf( float _Complex x ); +long double _Complex cprojl( long double _Complex x ); + +#endif // __COMPLEX_H