funcs.h

著名的数学计算类库

// -*- C++ -*-
/***************************************************************************
 * blitz/array/funcs.h   Math functions on arrays
 *
 * $Id: funcs.h,v 1.10 2004/10/07 00:26:59 julianc Exp $
 *
 * Copyright (C) 1997-2001 Todd Veldhuizen <[e-mail]>
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * Suggestions:          [e-mail]
 * Bugs:                 [e-mail]
 *
 * For more information, please see the Blitz++ Home Page:
 *    http://oonumerics.org/blitz/
 *
 ****************************************************************************/
#ifndef BZ_ARRAY_FUNCS_H
#define BZ_ARRAY_FUNCS_H

#include <blitz/funcs.h>
#include <blitz/array/newet-macros.h>

BZ_NAMESPACE(blitz)
    
// unary functions
    
BZ_DECLARE_ARRAY_ET_UNARY(abs,   Fn_abs)
BZ_DECLARE_ARRAY_ET_UNARY(acos,  Fn_acos)
BZ_DECLARE_ARRAY_ET_UNARY(asin,  Fn_asin)
BZ_DECLARE_ARRAY_ET_UNARY(atan,  Fn_atan)
BZ_DECLARE_ARRAY_ET_UNARY(ceil,  Fn_ceil)
BZ_DECLARE_ARRAY_ET_UNARY(cexp,  Fn_exp)
BZ_DECLARE_ARRAY_ET_UNARY(cos,   Fn_cos)
BZ_DECLARE_ARRAY_ET_UNARY(cosh,  Fn_cosh)
BZ_DECLARE_ARRAY_ET_UNARY(csqrt, Fn_sqrt)
BZ_DECLARE_ARRAY_ET_UNARY(cube,  Fn_cube)
BZ_DECLARE_ARRAY_ET_UNARY(exp,   Fn_exp)
BZ_DECLARE_ARRAY_ET_UNARY(fabs,  Fn_fabs)
BZ_DECLARE_ARRAY_ET_UNARY(floor, Fn_floor)
BZ_DECLARE_ARRAY_ET_UNARY(log,   Fn_log)
BZ_DECLARE_ARRAY_ET_UNARY(log10, Fn_log10)
BZ_DECLARE_ARRAY_ET_UNARY(pow2,  Fn_sqr)
BZ_DECLARE_ARRAY_ET_UNARY(pow3,  Fn_cube)
BZ_DECLARE_ARRAY_ET_UNARY(pow4,  Fn_pow4)
BZ_DECLARE_ARRAY_ET_UNARY(pow5,  Fn_pow5)
BZ_DECLARE_ARRAY_ET_UNARY(pow6,  Fn_pow6)
BZ_DECLARE_ARRAY_ET_UNARY(pow7,  Fn_pow7)
BZ_DECLARE_ARRAY_ET_UNARY(pow8,  Fn_pow8)
BZ_DECLARE_ARRAY_ET_UNARY(sin,   Fn_sin)
BZ_DECLARE_ARRAY_ET_UNARY(sinh,  Fn_sinh)
BZ_DECLARE_ARRAY_ET_UNARY(sqr,   Fn_sqr)
BZ_DECLARE_ARRAY_ET_UNARY(sqrt,  Fn_sqrt)
BZ_DECLARE_ARRAY_ET_UNARY(tan,   Fn_tan)
BZ_DECLARE_ARRAY_ET_UNARY(tanh,  Fn_tanh)

#ifdef BZ_HAVE_COMPLEX_FCNS
BZ_DECLARE_ARRAY_ET_UNARY(arg,   Fn_arg)
BZ_DECLARE_ARRAY_ET_UNARY(conj,  Fn_conj)
BZ_DECLARE_ARRAY_ET_UNARY(imag,  Fn_imag)
BZ_DECLARE_ARRAY_ET_UNARY(norm,  Fn_norm)
BZ_DECLARE_ARRAY_ET_UNARY(real,  Fn_real)
#endif

#ifdef BZ_HAVE_IEEE_MATH
// finite and trunc omitted: blitz-bugs/archive/0189.html
BZ_DECLARE_ARRAY_ET_UNARY(acosh,  Fn_acosh)
BZ_DECLARE_ARRAY_ET_UNARY(asinh,  Fn_asinh)
BZ_DECLARE_ARRAY_ET_UNARY(atanh,  Fn_atanh)
BZ_DECLARE_ARRAY_ET_UNARY(cbrt,   Fn_cbrt)
BZ_DECLARE_ARRAY_ET_UNARY(erf,    Fn_erf)
BZ_DECLARE_ARRAY_ET_UNARY(erfc,   Fn_erfc)
BZ_DECLARE_ARRAY_ET_UNARY(expm1,  Fn_expm1)
// BZ_DECLARE_ARRAY_ET_UNARY(finite, Fn_finite)
BZ_DECLARE_ARRAY_ET_UNARY(ilogb,   Fn_ilogb)
BZ_DECLARE_ARRAY_ET_UNARY(blitz_isnan,  Fn_isnan)
BZ_DECLARE_ARRAY_ET_UNARY(j0,     Fn_j0)
BZ_DECLARE_ARRAY_ET_UNARY(j1,     Fn_j1)
BZ_DECLARE_ARRAY_ET_UNARY(lgamma, Fn_lgamma)
BZ_DECLARE_ARRAY_ET_UNARY(logb,   Fn_logb)
BZ_DECLARE_ARRAY_ET_UNARY(log1p,  Fn_log1p)
BZ_DECLARE_ARRAY_ET_UNARY(rint,   Fn_rint)
// BZ_DECLARE_ARRAY_ET_UNARY(trunc,  Fn_trunc)
BZ_DECLARE_ARRAY_ET_UNARY(y0,     Fn_y0)
BZ_DECLARE_ARRAY_ET_UNARY(y1,     Fn_y1)
#endif

#ifdef BZ_HAVE_SYSTEM_V_MATH
BZ_DECLARE_ARRAY_ET_UNARY(_class,  Fn__class)
BZ_DECLARE_ARRAY_ET_UNARY(itrunc,  Fn_itrunc)
BZ_DECLARE_ARRAY_ET_UNARY(nearest, Fn_nearest)
BZ_DECLARE_ARRAY_ET_UNARY(rsqrt,   Fn_rsqrt)
BZ_DECLARE_ARRAY_ET_UNARY(uitrunc, Fn_uitrunc)
#endif
    
// cast() function
    
template<typename T_cast, typename T1>
_bz_inline_et
_bz_ArrayExpr<_bz_ArrayExprUnaryOp<_bz_typename asExpr<T1>::T_expr,
    Cast<_bz_typename asExpr<T1>::T_expr::T_numtype, T_cast> > >
cast(const ETBase<T1>& expr)
{
    return _bz_ArrayExpr<_bz_ArrayExprUnaryOp<
        _bz_typename asExpr<T1>::T_expr,
        Cast<_bz_typename asExpr<T1>::T_expr::T_numtype,T_cast> > >
        (expr.unwrap());
}

// binary functions

BZ_DECLARE_ARRAY_ET_BINARY(atan2,     Fn_atan2)
BZ_DECLARE_ARRAY_ET_BINARY(fmod,      Fn_fmod)
BZ_DECLARE_ARRAY_ET_BINARY(pow,       Fn_pow)

#ifdef BZ_HAVE_COMPLEX_FCNS
BZ_DECLARE_ARRAY_ET_BINARY(polar,     Fn_polar)
#endif
    
#ifdef BZ_HAVE_SYSTEM_V_MATH
BZ_DECLARE_ARRAY_ET_BINARY(copysign,  Fn_copysign)
BZ_DECLARE_ARRAY_ET_BINARY(drem,      Fn_drem)
BZ_DECLARE_ARRAY_ET_BINARY(hypot,     Fn_hypot)
BZ_DECLARE_ARRAY_ET_BINARY(nextafter, Fn_nextafter)
BZ_DECLARE_ARRAY_ET_BINARY(remainder, Fn_remainder)
BZ_DECLARE_ARRAY_ET_BINARY(scalb,     Fn_scalb)
BZ_DECLARE_ARRAY_ET_BINARY(unordered, Fn_unordered)
#endif

#ifdef BZ_HAVE_SYSTEM_V_MATH

#define BZ_DECLARE_ARRAY_ET_SCALAR_FUNCS(sca)                   \
                                                                \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(atan2,     Fn_atan2, sca)     \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(fmod,      Fn_fmod, sca)      \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(pow,       Fn_pow, sca)       \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(copysign,  Fn_copysign, sca)  \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(drem,      Fn_drem, sca)      \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(hypot,     Fn_hypot, sca)     \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(nextafter, Fn_nextafter, sca) \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(remainder, Fn_remainder, sca) \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(scalb,     Fn_scalb, sca)     \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(unordered, Fn_unordered, sca) \

#else
    
#define BZ_DECLARE_ARRAY_ET_SCALAR_FUNCS(sca)                   \
                                                                \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(atan2,     Fn_atan2, sca)     \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(fmod,      Fn_fmod, sca)      \
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(pow,       Fn_pow, sca)       \

#endif
    
BZ_DECLARE_ARRAY_ET_SCALAR_FUNCS(int)
BZ_DECLARE_ARRAY_ET_SCALAR_FUNCS(float)
BZ_DECLARE_ARRAY_ET_SCALAR_FUNCS(double)
BZ_DECLARE_ARRAY_ET_SCALAR_FUNCS(long double)
    
#ifdef BZ_HAVE_COMPLEX_FCNS
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(polar,     Fn_polar, int)
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(polar,     Fn_polar, float)
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(polar,     Fn_polar, double)
BZ_DECLARE_ARRAY_ET_BINARY_SCALAR(polar,     Fn_polar, long double)
    
template<typename T1, typename T2>
inline _bz_ArrayExprBinaryOp<
    typename asExpr<complex<T1> >::T_expr,
    typename asExpr<T2>::T_expr, 
    Fn_pow<complex<T1>,typename asExpr<T2>::T_expr::T_numtype> >
pow(const complex<T1> d1, const ETBase<T2>& d2)
{
    return _bz_ArrayExprBinaryOp<
        typename asExpr<complex<T1> >::T_expr,
        typename asExpr<T2>::T_expr,
        Fn_pow<complex<T1>,typename asExpr<T2>::T_expr::T_numtype> >
        (asExpr<complex<T1> >::getExpr(d1),
         asExpr<T2>::getExpr(d2.unwrap()));
}

#endif
    
BZ_NAMESPACE_END

#endif // BZ_ARRAY_FUNCS_H