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/*
VASP modular - vector assembling signal processor / objects for Max/MSP and PD
Copyright (c) 2002 Thomas Grill (xovo@gmx.net)
For information on usage and redistribution, and for a DISCLAIMER OF ALL
WARRANTIES, see the file, "license.txt," in this distribution.
*/
#ifndef __VASP_OPFUNS_H
#define __VASP_OPFUNS_H
#include "opdefs.h"
namespace VecOp {
// assignment
template<class T> class f_copy {
public:
static V run(T &v,T a) { v = a; }
static V cun(T &rv,T &iv,T ra,T ia) { rv = ra,iv = ia; }
};
template<class T> class f_set {
public:
static V rbin(T &v,T,T b) { v = b; }
static V cbin(T &rv,T &iv,T,T,T rb,T ib) { rv = rb,iv = ib; }
};
// arithmetic
template<class T> class f_add {
public:
static V rbin(T &v,T a,T b) { v = a+b; }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T ib) { rv = ra+rb,iv = ia+ib; }
};
template<class T> class f_sub {
public:
static V rbin(T &v,T a,T b) { v = a-b; }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T ib) { rv = ra-rb,iv = ia-ib; }
};
template<class T> class f_subr {
public:
static V rbin(T &v,T a,T b) { v = b-a; }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T ib) { rv = rb-ra,iv = ib-ia; }
};
template<class T> class f_mul {
public:
static V rbin(T &v,T a,T b) { v = a*b; }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T ib) { rv = ra*rb-ia*ib, iv = ra*ib+rb*ia; }
};
template<class T> class f_div {
public:
static V rbin(T &v,T a,T b) { v = a/b; }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T ib)
{
register const R den = sqabs(rb,ib);
rv = (ra*rb+ia*ib)/den;
iv = (ia*rb-ra*ib)/den;
}
};
template<class T> class f_divr {
public:
static V rbin(T &v,T a,T b) { v = b/a; }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T ib)
{
register const R den = sqabs(ra,ia);
rv = (rb*ra+ib*ia)/den;
iv = (ib*ra-rb*ia)/den;
}
};
template<class T> class f_mod {
public:
static V rbin(T &v,T a,T b) { v = fmod(a,b); }
};
template<class T> class f_abs {
public:
static V run(T &v,T a) { v = fabs(a); }
static V cun(T &rv,T &iv,T ra,T ia) { rv = sqrt(ra*ra+ia*ia),iv = 0; }
};
template<class T> class f_sign {
public:
static V run(T &v,T a) { v = (a == 0?0:(a < 0?-1.:1.)); }
};
template<class T> class f_sqr {
public:
static V run(T &v,T a) { v = a*a; }
static V cun(T &rv,T &iv,T ra,T ia) { rv = ra*ra-ia*ia; iv = ra*ia*2; }
};
template<class T> class f_ssqr {
public:
static V run(T &v,T a) { v = a*fabs(a); }
};
// transcendent
template<class T> class f_powi {
public:
static V cop(T &rv,T &iv,T ra,T ia,OpParam &p)
{
register const I powi = p.ibin.arg;
register S rt,it; f_sqr<T>::cun(rt,it,ra,ia);
for(I i = 2; i < powi; ++i) f_mul<T>::cbin(rt,it,rt,it,ra,ia);
rv = rt,iv = it;
}
};
template<class T> class f_pow {
public:
static V rbin(T &v,T a,T b) { v = pow(fabs(a),b)*sgn(a); }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T)
{
register const R _abs = sqrt(sqabs(ra,ia));
if(_abs) {
register const R _p = pow(_abs,rb)/_abs;
rv = _p*ra,iv = _p*ia;
}
else
rv = iv = 0;
}
};
template<class T> class f_sqrt {
public:
static V run(T &v,T a) { v = sqrt(fabs(a)); }
};
template<class T> class f_ssqrt {
public:
static V run(T &v,T a) { v = sqrt(fabs(a))*sgn(a); }
};
template<class T> class f_exp {
public:
static V run(T &v,T a) { v = exp(a); }
};
template<class T> class f_log {
public:
static V run(T &v,T a) { v = log(a); } // \todo detect NANs
};
// comparisons
template<class T> class f_lwr {
public:
static V rbin(T &v,T a,T b) { v = a < b?1:0; }
};
template<class T> class f_gtr {
public:
static V rbin(T &v,T a,T b) { v = a > b?1:0; }
};
template<class T> class f_alwr {
public:
static V rbin(T &v,T a,T b) { v = fabs(a) < fabs(b)?1:0; }
};
template<class T> class f_agtr {
public:
static V rbin(T &v,T a,T b) { v = fabs(a) > fabs(b)?1:0; }
};
template<class T> class f_leq {
public:
static V rbin(T &v,T a,T b) { v = a <= b?1:0; }
};
template<class T> class f_geq {
public:
static V rbin(T &v,T a,T b) { v = a >= b?1:0; }
};
template<class T> class f_aleq {
public:
static V rbin(T &v,T a,T b) { v = fabs(a) <= fabs(b)?1:0; }
};
template<class T> class f_ageq {
public:
static V rbin(T &v,T a,T b) { v = fabs(a) >= fabs(b)?1:0; }
};
template<class T> class f_equ {
public:
static V rbin(T &v,T a,T b) { v = a == b?1:0; }
};
template<class T> class f_neq {
public:
static V rbin(T &v,T a,T b) { v = a != b?1:0; }
};
// min/max
template<class T> class f_min {
public:
static V rbin(T &v,T a,T b) { v = a < b?a:b; }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T ib)
{
if(sqabs(ra,ia) < sqabs(rb,ib)) rv = ra,iv = ia;
else rv = rb,iv = ib;
}
};
template<class T> class f_max {
public:
static V rbin(T &v,T a,T b) { v = a > b?a:b; }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T ib)
{
if(sqabs(ra,ia) > sqabs(rb,ib)) rv = ra,iv = ia;
else rv = rb,iv = ib;
}
};
template<class T> class f_minmax {
public:
static V cun(T &rv,T &iv,T ra,T ia)
{
if(ra < ia) rv = ra,iv = ia;
else rv = ia,iv = ra;
}
};
template<class T> class f_minq {
public:
static V rop(T &,T ra,OpParam &p)
{
if(ra < p.norm.minmax) p.norm.minmax = ra;
}
static V cop(T &,T &,T ra,T ia,OpParam &p)
{
register T s = sqabs(ra,ia);
if(s < p.norm.minmax) p.norm.minmax = s;
}
};
template<class T> class f_maxq {
public:
static V rop(T &,T ra,OpParam &p)
{
if(ra > p.norm.minmax) p.norm.minmax = ra;
}
static V cop(T &,T &,T ra,T ia,OpParam &p)
{
register T s = sqabs(ra,ia);
if(s > p.norm.minmax) p.norm.minmax = s;
}
};
template<class T> V f_aminq(T &,T ra,OpParam &p)
{
register T s = fabs(ra);
if(s < p.norm.minmax) p.norm.minmax = s;
}
template<class T> V f_amaxq(T &,T ra,OpParam &p)
{
register T s = fabs(ra);
if(s > p.norm.minmax) p.norm.minmax = s;
}
// gating
template<class T> class f_gate {
public:
static V rbin(T &rv,T ra,T rb) { rv = fabs(ra) >= rb?ra:0; }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T)
{
register const T _abs = sqabs(ra,ia);
if(_abs >= rb*rb) rv = ra,iv = ia;
else rv = iv = 0;
}
};
template<class T> class f_igate {
public:
static V rbin(T &rv,T ra,T rb) { rv = fabs(ra) <= rb?ra:0; }
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T)
{
register const T _abs = sqabs(ra,ia);
if(_abs <= rb*rb) rv = ra,iv = ia;
else rv = iv = 0;
}
};
// complex
template<class T> class f_norm {
public:
static V cun(T &rv,T &iv,T ra,T ia)
{
register T f = sqabs(ra,ia);
if(f) { f = 1./sqrt(f); rv = ra*f,iv = ia*f; }
else rv = iv = 0;
}
};
template<class T> class f_conj {
public:
static V cun(T &,T &iv,T,T ia) { iv = -ia; }
};
template<class T> class f_polar {
public:
static V cun(T &rv,T &iv,T ra,T ia) { rv = sqrt(sqabs(ra,ia)),iv = arg(ra,ia); }
};
template<class T> class f_rect {
public:
static V cun(T &rv,T &iv,T ra,T ia) { rv = ra*cos(ia),iv = ra*sin(ia); }
};
template<class T> class f_radd {
public:
static V cbin(T &rv,T &iv,T ra,T ia,T rb,T)
{
register const R _abs = sqrt(sqabs(ra,ia))+rb;
register const R _phi = arg(ra,ia);
rv = _abs*cos(_phi),iv = _abs*sin(_phi);
}
};
// extra
template<class T> class f_fix {
public:
/*! \brief Bashes denormals and NANs to zero
\param a argument list
\param v destination vasp (NULL for in-place operation)
\return normalized destination vasp
*/
static V run(T &v,T a)
{
if(a != a) // NAN
v = 0;
else {
// denormal bashing (doesn't propagate to the next stage)
static const F anti_denormal = 1e-18F;
a += anti_denormal;
a -= anti_denormal;
v = a;
}
}
};
}
#endif
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