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The default FFTW interface uses double precision for all
Chris@19: floating-point numbers, and defines a fftw_complex type to hold
Chris@19: complex numbers as:
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typedef double fftw_complex[2]; Chris@19:Chris@19:
Chris@19: Here, the [0] element holds the real part and the [1]
Chris@19: element holds the imaginary part.
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Alternatively, if you have a C compiler (such as gcc) that
Chris@19: supports the C99 revision of the ANSI C standard, you can use C's new
Chris@19: native complex type (which is binary-compatible with the typedef above).
Chris@19: In particular, if you #include <complex.h> before
Chris@19: <fftw3.h>, then fftw_complex is defined to be the native
Chris@19: complex type and you can manipulate it with ordinary arithmetic
Chris@19: (e.g. x = y * (3+4*I), where x and y are
Chris@19: fftw_complex and I is the standard symbol for the
Chris@19: imaginary unit);
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C++ has its own complex<T> template class, defined in the
Chris@19: standard <complex> header file. Reportedly, the C++ standards
Chris@19: committee has recently agreed to mandate that the storage format used
Chris@19: for this type be binary-compatible with the C99 type, i.e. an array
Chris@19: T[2] with consecutive real [0] and imaginary [1]
Chris@19: parts. (See report
Chris@19: http://www.open-std.org/jtc1/sc22/WG21/docs/papers/2002/n1388.pdf WG21/N1388.) Although not part of the official standard as of this
Chris@19: writing, the proposal stated that: “This solution has been tested with
Chris@19: all current major implementations of the standard library and shown to
Chris@19: be working.” To the extent that this is true, if you have a variable
Chris@19: complex<double> *x, you can pass it directly to FFTW via
Chris@19: reinterpret_cast<fftw_complex*>(x).
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