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int: reduce allocation by representing small ints as pointers #280

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merged 2 commits into from Jun 17, 2020

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alandonovan
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This change defines low-level accessors for the small and big
arms of the int union so that the representation can be easily
changed in a follow-up.

Change-Id: I7c4ae279a6d2e7b76e102ba5d01a3cd1c56fb368
@alandonovan alandonovan changed the title Int opt int: reduce allocation by representing small ints as pointers Jun 16, 2020
@@ -0,0 +1,33 @@
//+build !linux,!darwin
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This pair of lines should be one line:

// +build !linux,!darwin !amd64,!arm64,!mips64x,!ppc64x

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Good catch. I always forget whether space means AND or OR.

package starlark

// Optimized Int implementation for 64-bit machines running POSIX (for mmap).
// It reserves a portion of the address space to represent int32 values.
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Consider expanding this:

It reserves a 4GB range of the virtual address space using mmap and represents int32 values
as addresses within that range. This disambiguates int32 values from big.Int pointers.

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Done.

var smallints = reserveAddresses(1 << 32)

func reserveAddresses(len int) uintptr {
b, err := unix.Mmap(-1, 0, len, unix.PROT_READ, unix.MAP_PRIVATE|unix.MAP_ANONYMOUS)
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Would it be possible to use something similar to NaN boxing instead? That would let you avoid the mmap.

amd64 processors only support 48-bit virtual addresses. They're sign-extended to 64-bits. There's a big range in the middle that could be used to store other values. I believe arm64 processors have a similar limitation. I don't know about mips.

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Isn't NaN-boxing the trick by which JS implementations embed 53-bit ints, 48-bit pointers, and other tagged value types into each of the many kinds of NaN? We're trying to hide numbers inside pointers, but Nan-boxing goes in the opposite direction: hiding pointers inside numbers, which is problematic for garbage collection. (big.Ints would falsely appear unreachable.)

The use of mmap is not such a problem: it is relatively portable (it's available as VirtualAlloc on Windows), and the current approach doesn't depend on features of the hardware other than word size.

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I just meant NaN boxing as an analogy: using the dead bits of a large type (in this case unsafe.Pointer) to store a smaller numeric value (int32).

Fair enough on mmap though. I'm still stuck in the dark ages of 32-bit where virtual address space was a scarce resource. :)

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If you were willing to understand what "valid" pointers are on the host system, you could take a space from the "invalid" pointers by fiat, without asking mmap for address range. On amd64 the valid pointers start with 17 0s or 17 1s; if you pick a different prefix, like "01", then you could store up to 62-bit numbers in the remaining bits. But on non-amd64 that specific trick wouldn't work. On some 64-bit systems Go supports (I forget which one) the entire 64-bit range is technically valid. The mmap trick is more portable for sure.

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I'd like to stick with the mmap version for now because it seems less fragile overall, but I will remember these ideas for when I implement my next proper compiler to object code. :)

This change defines a new representation for Int on 64-bit machines
running a POSIX operating system, by reserving a 4GB portion of the
address space.

Pointers to addresses in this region represent int32 values,
and are disjoint from all *big.Int pointers,
allowing us to represent the union in a single pointer.
This means the conversion from Int to Value does not allocate.

The gauss benchmark (added in this CL) shows -40% ns, -48% bytes, -63% allocs:
Benchmark/bench_gauss-12  	      84	  13648744 ns/op	 3175816 B/op	  105862 allocs/op (before)
Benchmark/bench_gauss-12  	      55	  24283703 ns/op	 6119844 B/op	  289862 allocs/op (after)

On 32-bit machines, or those running a non-POSIX system,
we continue to use the old representation.

Change-Id: I2915a8f8abff18ab2eba2891c352700c3ab0d4c4
var smallints = reserveAddresses(1 << 32)

func reserveAddresses(len int) uintptr {
b, err := unix.Mmap(-1, 0, len, unix.PROT_READ, unix.MAP_PRIVATE|unix.MAP_ANONYMOUS)
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I just meant NaN boxing as an analogy: using the dead bits of a large type (in this case unsafe.Pointer) to store a smaller numeric value (int32).

Fair enough on mmap though. I'm still stuck in the dark ages of 32-bit where virtual address space was a scarce resource. :)

@alandonovan
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I'm still stuck in the dark ages of 32-bit where virtual address space was a scarce resource. :)

It turns out there's quite a lot of spare address space just sitting there awaiting one's creativity. This change only squandered 1 part in 2^32 of it. :)

@alandonovan alandonovan merged commit c6daab6 into master Jun 17, 2020
@alandonovan alandonovan deleted the int-opt branch June 17, 2020 18:28
@benhoyt
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benhoyt commented Jun 30, 2020

@alandonovan This is fun! Out of interest, do you have performance numbers on how much this helped on the targeted platforms? (at least for the microbenchmarks you wrote)

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do you have performance numbers on how much this helped

Take a look at the commit message: 29194bd

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benhoyt commented Jul 1, 2020

Aha, of course -- I was being too PR-centric. Thanks!

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5 participants