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Add generic FFT implementation over curve scalars #155

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Added a generic implementation for FFTs.
Further explanation I've written about FFTs and the implemented algorithms can be found here:
https://hackmd.io/@matan/ffts

}
}
}
impl<T: Curve> Iterator for PowerIterator<T> {
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Can you add a size_hint implementation? this will improve the perf of collect by allowing it to preallocate

Comment on lines +40 to +42
if self.next_idx == self.max_idx {
return None;
}
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nit, you can replace next_idx with remaining_idx and return None when it is equal to zero (that way you save just a single usize and not 2 usizes)

Comment on lines +60 to +69
fn new(factors: &'a [(usize, usize)]) -> FactorizationIterator {
let max = factors
.iter()
.fold(1usize, |acc, (_, count)| acc * (count + 1));
FactorizationIterator {
factorization: factors,
index: 0usize,
max,
}
}
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Could you maybe use more a more descriptive name? what's max? it looks like the product of all the k+1?

Comment on lines +116 to +118
self.slice
.get((self.step * (self.next_index)) % self.slice.len())
.unwrap(),
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why get and unwrap and not indexing? did it fail due to the self.slice.len()?

.map(|&(f, _)| {
usize::from_be_bytes(
f.to_bytes_array()
.expect("The bit length should fit in 8-byte array here!"),
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note that usize is 4 bytes on 32bit machines

Scalar::<T>::multiplicative_group_order_factorization()
.iter()
.filter(|(num, _)| num.bit_length() < SMALL_FACTOR_BITLENGTH)
.collect();
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I think you can skip the collect, as you're mapping it immediately afterwards, just keep it as an iterator

usize::from_be_bytes(
big_int
.to_bytes_array()
.expect("The small factor should fit in a 8 byte array"),
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usize is 4 bytes on 32 bit machines

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2 participants