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Fix the last fft vjp
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@ -1957,47 +1957,46 @@ std::vector<array> FFT::vjp(
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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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n_elements *= inverse_ ? cotangents[0].shape(ax) : 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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auto stop = in.shape();
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out = slice(out, start, stop, stream());
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auto mask_shape = out.shape();
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mask_shape[axes_.back()] -= 2;
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auto mask = full(mask_shape, 2.0f, stream());
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auto pad_shape = out.shape();
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pad_shape[axes_.back()] = 1;
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auto pad = full(pad_shape, 1.0f, stream());
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mask = concatenate({pad, mask, pad}, axes_.back(), stream());
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return {multiply(mask, out, stream())};
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} else if (real_) {
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if (real_) {
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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 or doubled.
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int N =
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inverse_ ? in.shape(axes_.back()) : cotangents[0].shape(axes_.back());
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Shape c(in.ndim(), 1);
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c[axes_.back()] = N;
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array indices = reshape(arange(N, stream()), std::move(c), stream());
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array first(0, indices.dtype());
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array last(N - 1, indices.dtype());
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if (inverse_) {
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auto starts = Shape(in.ndim(), 0);
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auto stops = in.shape();
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array one(1 / n_elements, in.dtype());
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array two(2 / n_elements, in.dtype());
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array mask =
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where((first < indices) & (indices < last), two, one, stream());
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return {
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multiply(fft::rfftn(cotangents[0], axes, stream()), mask, stream())};
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} else {
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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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}
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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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fft::irfftn(
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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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}
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} else if (inverse_) {
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return {multiply(
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fft::fftn(cotangents[0], axes, stream()),
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