src/internal/chacha8rand/chacha8_generic.go

// Copyright 2023 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

// ChaCha8 is ChaCha with 8 rounds.
// See https://cr.yp.to/chacha/chacha-20080128.pdf.
//
// ChaCha8 operates on a 4x4 matrix of uint32 values, initially set to:
//
//	const1 const2 const3 const4
//	seed   seed   seed   seed
//	seed   seed   seed   seed
//	counter64     0      0
//
// We use the same constants as ChaCha20 does, a random seed,
// and a counter. Running ChaCha8 on this input produces
// a 4x4 matrix of pseudo-random values with as much entropy
// as the seed.
//
// Given SIMD registers that can hold N uint32s, it is possible
// to run N ChaCha8 block transformations in parallel by filling
// the first register with the N copies of const1, the second
// with N copies of const2, and so on, and then running the operations.
//
// Each iteration of ChaCha8Rand operates over 32 bytes of input and
// produces 992 bytes of RNG output, plus 32 bytes of input for the next
// iteration.
//
// The 32 bytes of input are used as a ChaCha8 key, with a zero nonce, to
// produce 1024 bytes of output (16 blocks, with counters 0 to 15).
// First, for each block, the values 0x61707865, 0x3320646e, 0x79622d32,
// 0x6b206574 are subtracted from the 32-bit little-endian words at
// position 0, 1, 2, and 3 respectively, and an increasing counter
// starting at zero is subtracted from each word at position 12. Then,
// this stream is permuted such that for each sequence of four blocks,
// first we output the first four bytes of each block, then the next four
// bytes of each block, and so on. Finally, the last 32 bytes of output
// are used as the input of the next iteration, and the remaining 992
// bytes are the RNG output.
//
// See https://c2sp.org/chacha8rand for additional details.
//
// Normal ChaCha20 implementations for encryption use this same
// parallelism but then have to deinterlace the results so that
// it appears the blocks were generated separately. For the purposes
// of generating random numbers, the interlacing is fine.
// We are simply locked in to preserving the 4-way interlacing
// in any future optimizations.
package chacha8rand

import (
	"internal/goarch"
	"unsafe"
)

// setup sets up 4 ChaCha8 blocks in b32 with the counter and seed.
// Note that b32 is [16][4]uint32 not [4][16]uint32: the blocks are interlaced
// the same way they would be in a 4-way SIMD implementations.
func setup(seed *[4]uint64, b32 *[16][4]uint32, counter uint32) {
	// Convert to uint64 to do half as many stores to memory.
	b := (*[16][2]uint64)(unsafe.Pointer(b32))

	// Constants; same as in ChaCha20: "expand 32-byte k"
	b[0][0] = 0x61707865_61707865
	b[0][1] = 0x61707865_61707865

	b[1][0] = 0x3320646e_3320646e
	b[1][1] = 0x3320646e_3320646e

	b[2][0] = 0x79622d32_79622d32
	b[2][1] = 0x79622d32_79622d32

	b[3][0] = 0x6b206574_6b206574
	b[3][1] = 0x6b206574_6b206574

	// Seed values.
	var x64 uint64
	var x uint32

	x = uint32(seed[0])
	x64 = uint64(x)<<32 | uint64(x)
	b[4][0] = x64
	b[4][1] = x64

	x = uint32(seed[0] >> 32)
	x64 = uint64(x)<<32 | uint64(x)
	b[5][0] = x64
	b[5][1] = x64

	x = uint32(seed[1])
	x64 = uint64(x)<<32 | uint64(x)
	b[6][0] = x64
	b[6][1] = x64

	x = uint32(seed[1] >> 32)
	x64 = uint64(x)<<32 | uint64(x)
	b[7][0] = x64
	b[7][1] = x64

	x = uint32(seed[2])
	x64 = uint64(x)<<32 | uint64(x)
	b[8][0] = x64
	b[8][1] = x64

	x = uint32(seed[2] >> 32)
	x64 = uint64(x)<<32 | uint64(x)
	b[9][0] = x64
	b[9][1] = x64

	x = uint32(seed[3])
	x64 = uint64(x)<<32 | uint64(x)
	b[10][0] = x64
	b[10][1] = x64

	x = uint32(seed[3] >> 32)
	x64 = uint64(x)<<32 | uint64(x)
	b[11][0] = x64
	b[11][1] = x64

	// Counters.
	if goarch.BigEndian {
		b[12][0] = uint64(counter+0)<<32 | uint64(counter+1)
		b[12][1] = uint64(counter+2)<<32 | uint64(counter+3)
	} else {
		b[12][0] = uint64(counter+0) | uint64(counter+1)<<32
		b[12][1] = uint64(counter+2) | uint64(counter+3)<<32
	}

	// Zeros.
	b[13][0] = 0
	b[13][1] = 0
	b[14][0] = 0
	b[14][1] = 0

	b[15][0] = 0
	b[15][1] = 0
}

func _() {
	// block and block_generic must have same type
	x := block
	x = block_generic
	_ = x
}

// block_generic is the non-assembly block implementation,
// for use on systems without special assembly.
// Even on such systems, it is quite fast: on GOOS=386,
// ChaCha8 using this code generates random values faster than PCG-DXSM.
func block_generic(seed *[4]uint64, buf *[32]uint64, counter uint32) {
	b := (*[16][4]uint32)(unsafe.Pointer(buf))

	setup(seed, b, counter)

	for i := range b[0] {
		// Load block i from b[*][i] into local variables.
		b0 := b[0][i]
		b1 := b[1][i]
		b2 := b[2][i]
		b3 := b[3][i]
		b4 := b[4][i]
		b5 := b[5][i]
		b6 := b[6][i]
		b7 := b[7][i]
		b8 := b[8][i]
		b9 := b[9][i]
		b10 := b[10][i]
		b11 := b[11][i]
		b12 := b[12][i]
		b13 := b[13][i]
		b14 := b[14][i]
		b15 := b[15][i]

		// 4 iterations of eight quarter-rounds each is 8 rounds
		for round := 0; round < 4; round++ {
			b0, b4, b8, b12 = qr(b0, b4, b8, b12)
			b1, b5, b9, b13 = qr(b1, b5, b9, b13)
			b2, b6, b10, b14 = qr(b2, b6, b10, b14)
			b3, b7, b11, b15 = qr(b3, b7, b11, b15)

			b0, b5, b10, b15 = qr(b0, b5, b10, b15)
			b1, b6, b11, b12 = qr(b1, b6, b11, b12)
			b2, b7, b8, b13 = qr(b2, b7, b8, b13)
			b3, b4, b9, b14 = qr(b3, b4, b9, b14)
		}

		// Store block i back into b[*][i].
		// Add b4..b11 back to the original key material,
		// like in ChaCha20, to avoid trivial invertibility.
		// There is no entropy in b0..b3 and b12..b15
		// so we can skip the additions and save some time.
		b[0][i] = b0
		b[1][i] = b1
		b[2][i] = b2
		b[3][i] = b3
		b[4][i] += b4
		b[5][i] += b5
		b[6][i] += b6
		b[7][i] += b7
		b[8][i] += b8
		b[9][i] += b9
		b[10][i] += b10
		b[11][i] += b11
		b[12][i] = b12
		b[13][i] = b13
		b[14][i] = b14
		b[15][i] = b15
	}

	if goarch.BigEndian {
		// On a big-endian system, reading the uint32 pairs as uint64s
		// will word-swap them compared to little-endian, so we word-swap
		// them here first to make the next swap get the right answer.
		for i, x := range buf {
			buf[i] = x>>32 | x<<32
		}
	}
}

// qr is the (inlinable) ChaCha8 quarter round.
func qr(a, b, c, d uint32) (_a, _b, _c, _d uint32) {
	a += b
	d ^= a
	d = d<<16 | d>>16
	c += d
	b ^= c
	b = b<<12 | b>>20
	a += b
	d ^= a
	d = d<<8 | d>>24
	c += d
	b ^= c
	b = b<<7 | b>>25
	return a, b, c, d
}