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Three ffts done one to go
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@ -1952,6 +1952,14 @@ std::vector<array> FFT::vjp(
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assert(argnums.size() == 1);
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auto& in = primals[0];
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std::vector<int> axes(axes_.begin(), axes_.end());
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// TODO: Add it as an option to do an unnormalized or scaled fft so that this
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// isn't part of the graph.
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double n_elements = 1;
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for (auto ax : axes) {
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n_elements *= primals[0].shape(ax);
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}
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if (real_ && inverse_) {
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auto out = fft::fftn(cotangents[0], axes, stream());
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auto start = Shape(out.ndim(), 0);
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@ -1968,14 +1976,38 @@ std::vector<array> FFT::vjp(
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} else if (real_) {
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Shape n;
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for (auto ax : axes_) {
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n.push_back(in.shape()[ax]);
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n.push_back(in.shape(ax));
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}
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return {astype(
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fft::fftn(cotangents[0], n, axes, stream()), in.dtype(), stream())};
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// Make a mask to account for the double use in the forward pass.
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// Everything except the DC and nyquist frequencies gets halved.
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Shape c(in.ndim(), 1);
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c[axes_.back()] = cotangents[0].shape(axes_.back());
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array indices = reshape(
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arange(cotangents[0].shape(axes_.back()), stream()),
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std::move(c),
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stream());
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array first(0, indices.dtype());
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array last(cotangents[0].shape(axes_.back()) - 1, indices.dtype());
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array one(1, complex64);
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array half(0.5, complex64);
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array mask =
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where((first < indices) & (indices < last), half, one, stream());
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return {multiply(
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fft::irfftn(multiply(cotangents[0], mask, stream()), n, axes, stream()),
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array(n_elements, in.dtype()),
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stream())};
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} else if (inverse_) {
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return {fft::ifftn(cotangents[0], axes, stream())};
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return {multiply(
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fft::fftn(cotangents[0], axes, stream()),
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array(1 / n_elements, complex64),
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stream())};
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} else {
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return {fft::fftn(cotangents[0], axes, stream())};
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return {multiply(
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fft::ifftn(cotangents[0], axes, stream()),
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array(n_elements, complex64),
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stream())};
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}
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}
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