Я пытаюсь реализовать БПФ в C ++. Однако я получаю эту ошибку:
Undefined symbols for architecture x86_64:
"Complex::fft(std::vector<Complex*, std::allocator<Complex*> >*)", referenced from:
_main in ccMdeaRo.o
ld: symbol(s) not found for architecture x86_64
collect2: ld returned 1 exit status
Вот мой код:
// Complex.h -----------------------------------------------------------------
#include <cmath>
#include <string>
#include <sstream>
#include <vector>
using namespace std;
class Complex {
float _re,_im;
public:
static Complex ZERO;
static Complex ONE;
static const float TOLERANCE = 5E-6f;
Complex(float re, float im);
// Polar(float r, float theta);
// ~Complex();
float angle();
float magnitude();
bool equals(Complex* arg);
Complex* clone();
static vector<Complex*>* fft(vector<Complex*>* a);
// static Complex** fft(Complex** a, long n);
static Complex* omega(long n);
static Complex* polar(float r, float theta);
float re();
float im();
Complex* minus(Complex* that);
Complex* plus(Complex* that);
Complex* times(Complex* that);
string toString();
};
// Complex.cpp -----------------------------------------------------------------
#include "Complex.h"
Complex::Complex(float re, float im) {
this->_re = re;
this->_im = im;
}float Complex::angle(){
return atan2(_im,_re);
}
float Complex::magnitude() {
return sqrt(this->_re * _re + this->_im * _im);
}
Complex* Complex::omega(long n) {
Complex* cplx = polar(1.0, 2*(M_PI)/n);
return cplx;
}vector<Complex*>* fft(vector<Complex*>* a) {
long n = a->size();
if (n == 1) {
return a;
}
Complex* w_n = Complex::omega(n);
Complex* w = new Complex(1,0);
long half_n = n/2;
vector<Complex*>* aEvens = new vector<Complex*>(half_n);
vector<Complex*>* aOdds = new vector<Complex*>(half_n);
for (long i = 0; i < n; i++) {
if (i % 2 == 0) {
aEvens->push_back(a->at(i));
}
else {
aOdds->push_back(a->at(i));
}
}
vector<Complex*>* yEvens = fft(aEvens);
vector<Complex*>* yOdds = fft(aOdds);
vector<Complex*>* y = new vector<Complex*>(n);
y->resize(n, 0);
for (long k = 0; k < n/2; k++) {
Complex* prod = (yOdds->at(k))->times(w);
y->at(k) = yEvens->at(k)->plus(prod);
y->at(k+half_n) = yEvens->at(k + half_n)->minus(prod);
w = w->times(w_n);
}
delete w;
delete w_n;
return y;
}
Complex* Complex::polar (float r, float theta) {
Complex* cplx = new Complex(r*cos(theta),r*sin(theta));
return cplx;
}
bool Complex::equals(Complex* arg) {
double d_re = abs(this->_re - arg->_re);
double d_im = abs(this->_im - arg->_im);
return (d_re < TOLERANCE && d_im < TOLERANCE);
}
Complex* Complex::clone() {
Complex* theClone = new Complex(this->_re,this->_im);
return theClone;
}
float Complex::re() {
return this->_re;
}
float Complex::im() {
return _im;
}
Complex* Complex::minus(Complex* arg) {
float diff_re = this->_re - arg->_re;
float diff_im = this->_im - arg->_im;
Complex* diff = new Complex(diff_re, diff_im);
return diff;
}
Complex* Complex::plus(Complex* arg) {
float sum_re = this->_re + arg->_re;
float sum_im = this->_im + arg->_im;
Complex* sum = new Complex(sum_re, sum_im);
return sum;
}
Complex* Complex::times(Complex* arg) {
float magn = this->magnitude() * arg->magnitude();
float angl = this->angle() + arg->angle();
Complex* prod = polar(magn, angl);
return prod;
}
string Complex::toString() {
ostringstream s;
s << this->_re << " + " << this->_im << "i";
return s.str();
}// main -----------------------------------------------------------------
#include "complex.h"#include <iostream>
int main() {
Complex* a = new Complex(1,0);
Complex* b = new Complex(0,1);
Complex* c = new Complex(5,5);
Complex* d = new Complex(6,2);
Complex* e = a -> clone();
Complex* f = a->plus(b);
Complex* g = a->minus(b);
Complex* h = c->times(d);
Complex* j = Complex::omega(4);
Complex* k = Complex::polar(1, 2*(M_PI));
cout << "a:\t" << a->toString() << endl;
cout << "b:\t" << b->toString() << endl;
cout << "a->re():\t" << a->re() << endl;
cout << "a->im():\t" << a->im() << endl;
cout << "a plus b:\t" << f->toString() << endl;
cout << "a minus b:\t" << g->toString() << endl;
cout << "c times d:\t" << h->toString() << endl;
cout << "omega(4):\t" << j ->toString() << endl;
cout << "j->equals(b):\t" << j->equals(b) << endl;
cout << "j->equals(c):\t" << j->equals(c) << endl;
cout << "polar(1, 2PI):\t" << k->toString() << endl;
cout << "k->equals(a):\t" << k->equals(a) << endl;
cout << "k->equals(b):\t" << k->equals(b) << endl;
cout << "a->clone():\t" << e->toString() << endl;
Complex* one = new Complex(1,0);
Complex* two = new Complex(2,0);
Complex* three = new Complex(3,0);
Complex* four = new Complex(4,0);
vector<Complex*>* cplxVec = new vector<Complex *>;
cplxVec->push_back(one);
cplxVec->push_back(two);
cplxVec->push_back(three);
cplxVec->push_back(four);
cout << "\nPrinting out vector:\n" << endl;
for (unsigned int i = 0; i < cplxVec->size(); i++) {
cout << cplxVec->at(i) -> toString() << endl;
}
cout << endl;Complex::fft(cplxVec);return 0;
}
Когда вы реализовали fft
ты забыл Complex::
:
vector<Complex*>* fft(vector<Complex*>* a) {
должно быть:
vector<Complex*>* Complex::fft(vector<Complex*>* a) {
fft
имеет проблему, он входит в бесконечный цикл, когда он вызывает себя:
vector<Complex*>* yEvens = fft(aEvens);
Вы вдвое не должны получать их до размера 1
,
Других решений пока нет …