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Diffstat (limited to 'scripts/gen-crc-consts.py')
-rwxr-xr-x | scripts/gen-crc-consts.py | 291 |
1 files changed, 291 insertions, 0 deletions
diff --git a/scripts/gen-crc-consts.py b/scripts/gen-crc-consts.py new file mode 100755 index 000000000000..f9b44fc3a03f --- /dev/null +++ b/scripts/gen-crc-consts.py @@ -0,0 +1,291 @@ +#!/usr/bin/env python3 +# SPDX-License-Identifier: GPL-2.0-or-later +# +# Script that generates constants for computing the given CRC variant(s). +# +# Copyright 2025 Google LLC +# +# Author: Eric Biggers <ebiggers@google.com> + +import sys + +# XOR (add) an iterable of polynomials. +def xor(iterable): + res = 0 + for val in iterable: + res ^= val + return res + +# Multiply two polynomials. +def clmul(a, b): + return xor(a << i for i in range(b.bit_length()) if (b & (1 << i)) != 0) + +# Polynomial division floor(a / b). +def div(a, b): + q = 0 + while a.bit_length() >= b.bit_length(): + q ^= 1 << (a.bit_length() - b.bit_length()) + a ^= b << (a.bit_length() - b.bit_length()) + return q + +# Reduce the polynomial 'a' modulo the polynomial 'b'. +def reduce(a, b): + return a ^ clmul(div(a, b), b) + +# Reflect the bits of a polynomial. +def bitreflect(poly, num_bits): + assert poly.bit_length() <= num_bits + return xor(((poly >> i) & 1) << (num_bits - 1 - i) for i in range(num_bits)) + +# Format a polynomial as hex. Bit-reflect it if the CRC is lsb-first. +def fmt_poly(variant, poly, num_bits): + if variant.lsb: + poly = bitreflect(poly, num_bits) + return f'0x{poly:0{2*num_bits//8}x}' + +# Print a pair of 64-bit polynomial multipliers. They are always passed in the +# order [HI64_TERMS, LO64_TERMS] but will be printed in the appropriate order. +def print_mult_pair(variant, mults): + mults = list(mults if variant.lsb else reversed(mults)) + terms = ['HI64_TERMS', 'LO64_TERMS'] if variant.lsb else ['LO64_TERMS', 'HI64_TERMS'] + for i in range(2): + print(f'\t\t{fmt_poly(variant, mults[i]["val"], 64)},\t/* {terms[i]}: {mults[i]["desc"]} */') + +# Pretty-print a polynomial. +def pprint_poly(prefix, poly): + terms = [f'x^{i}' for i in reversed(range(poly.bit_length())) + if (poly & (1 << i)) != 0] + j = 0 + while j < len(terms): + s = prefix + terms[j] + (' +' if j < len(terms) - 1 else '') + j += 1 + while j < len(terms) and len(s) < 73: + s += ' ' + terms[j] + (' +' if j < len(terms) - 1 else '') + j += 1 + print(s) + prefix = ' * ' + (' ' * (len(prefix) - 3)) + +# Print a comment describing constants generated for the given CRC variant. +def print_header(variant, what): + print('/*') + s = f'{"least" if variant.lsb else "most"}-significant-bit-first CRC-{variant.bits}' + print(f' * {what} generated for {s} using') + pprint_poly(' * G(x) = ', variant.G) + print(' */') + +class CrcVariant: + def __init__(self, bits, generator_poly, bit_order): + self.bits = bits + if bit_order not in ['lsb', 'msb']: + raise ValueError('Invalid value for bit_order') + self.lsb = bit_order == 'lsb' + self.name = f'crc{bits}_{bit_order}_0x{generator_poly:0{(2*bits+7)//8}x}' + if self.lsb: + generator_poly = bitreflect(generator_poly, bits) + self.G = generator_poly ^ (1 << bits) + +# Generate tables for CRC computation using the "slice-by-N" method. +# N=1 corresponds to the traditional byte-at-a-time table. +def gen_slicebyN_tables(variants, n): + for v in variants: + print('') + print_header(v, f'Slice-by-{n} CRC table') + print(f'static const u{v.bits} __maybe_unused {v.name}_table[{256*n}] = {{') + s = '' + for i in range(256 * n): + # The i'th table entry is the CRC of the message consisting of byte + # i % 256 followed by i // 256 zero bytes. + poly = (bitreflect(i % 256, 8) if v.lsb else i % 256) << (v.bits + 8*(i//256)) + next_entry = fmt_poly(v, reduce(poly, v.G), v.bits) + ',' + if len(s + next_entry) > 71: + print(f'\t{s}') + s = '' + s += (' ' if s else '') + next_entry + if s: + print(f'\t{s}') + print('};') + +def print_riscv_const(v, bits_per_long, name, val, desc): + print(f'\t.{name} = {fmt_poly(v, val, bits_per_long)}, /* {desc} */') + +def do_gen_riscv_clmul_consts(v, bits_per_long): + (G, n, lsb) = (v.G, v.bits, v.lsb) + + pow_of_x = 3 * bits_per_long - (1 if lsb else 0) + print_riscv_const(v, bits_per_long, 'fold_across_2_longs_const_hi', + reduce(1 << pow_of_x, G), f'x^{pow_of_x} mod G') + pow_of_x = 2 * bits_per_long - (1 if lsb else 0) + print_riscv_const(v, bits_per_long, 'fold_across_2_longs_const_lo', + reduce(1 << pow_of_x, G), f'x^{pow_of_x} mod G') + + pow_of_x = bits_per_long - 1 + n + print_riscv_const(v, bits_per_long, 'barrett_reduction_const_1', + div(1 << pow_of_x, G), f'floor(x^{pow_of_x} / G)') + + val = G - (1 << n) + desc = f'G - x^{n}' + if lsb: + val <<= bits_per_long - n + desc = f'({desc}) * x^{bits_per_long - n}' + print_riscv_const(v, bits_per_long, 'barrett_reduction_const_2', val, desc) + +def gen_riscv_clmul_consts(variants): + print('') + print('struct crc_clmul_consts {'); + print('\tunsigned long fold_across_2_longs_const_hi;'); + print('\tunsigned long fold_across_2_longs_const_lo;'); + print('\tunsigned long barrett_reduction_const_1;'); + print('\tunsigned long barrett_reduction_const_2;'); + print('};'); + for v in variants: + print(''); + if v.bits > 32: + print_header(v, 'Constants') + print('#ifdef CONFIG_64BIT') + print(f'static const struct crc_clmul_consts {v.name}_consts __maybe_unused = {{') + do_gen_riscv_clmul_consts(v, 64) + print('};') + print('#endif') + else: + print_header(v, 'Constants') + print(f'static const struct crc_clmul_consts {v.name}_consts __maybe_unused = {{') + print('#ifdef CONFIG_64BIT') + do_gen_riscv_clmul_consts(v, 64) + print('#else') + do_gen_riscv_clmul_consts(v, 32) + print('#endif') + print('};') + +# Generate constants for carryless multiplication based CRC computation. +def gen_x86_pclmul_consts(variants): + # These are the distances, in bits, to generate folding constants for. + FOLD_DISTANCES = [2048, 1024, 512, 256, 128] + + for v in variants: + (G, n, lsb) = (v.G, v.bits, v.lsb) + print('') + print_header(v, 'CRC folding constants') + print('static const struct {') + if not lsb: + print('\tu8 bswap_mask[16];') + for i in FOLD_DISTANCES: + print(f'\tu64 fold_across_{i}_bits_consts[2];') + print('\tu8 shuf_table[48];') + print('\tu64 barrett_reduction_consts[2];') + print(f'}} {v.name}_consts ____cacheline_aligned __maybe_unused = {{') + + # Byte-reflection mask, needed for msb-first CRCs + if not lsb: + print('\t.bswap_mask = {' + ', '.join(str(i) for i in reversed(range(16))) + '},') + + # Fold constants for all distances down to 128 bits + for i in FOLD_DISTANCES: + print(f'\t.fold_across_{i}_bits_consts = {{') + # Given 64x64 => 128 bit carryless multiplication instructions, two + # 64-bit fold constants are needed per "fold distance" i: one for + # HI64_TERMS that is basically x^(i+64) mod G and one for LO64_TERMS + # that is basically x^i mod G. The exact values however undergo a + # couple adjustments, described below. + mults = [] + for j in [64, 0]: + pow_of_x = i + j + if lsb: + # Each 64x64 => 128 bit carryless multiplication instruction + # actually generates a 127-bit product in physical bits 0 + # through 126, which in the lsb-first case represent the + # coefficients of x^1 through x^127, not x^0 through x^126. + # Thus in the lsb-first case, each such instruction + # implicitly adds an extra factor of x. The below removes a + # factor of x from each constant to compensate for this. + # For n < 64 the x could be removed from either the reduced + # part or unreduced part, but for n == 64 the reduced part + # is the only option. Just always use the reduced part. + pow_of_x -= 1 + # Make a factor of x^(64-n) be applied unreduced rather than + # reduced, to cause the product to use only the x^(64-n) and + # higher terms and always be zero in the lower terms. Usually + # this makes no difference as it does not affect the product's + # congruence class mod G and the constant remains 64-bit, but + # part of the final reduction from 128 bits does rely on this + # property when it reuses one of the constants. + pow_of_x -= 64 - n + mults.append({ 'val': reduce(1 << pow_of_x, G) << (64 - n), + 'desc': f'(x^{pow_of_x} mod G) * x^{64-n}' }) + print_mult_pair(v, mults) + print('\t},') + + # Shuffle table for handling 1..15 bytes at end + print('\t.shuf_table = {') + print('\t\t' + (16*'-1, ').rstrip()) + print('\t\t' + ''.join(f'{i:2}, ' for i in range(16)).rstrip()) + print('\t\t' + (16*'-1, ').rstrip()) + print('\t},') + + # Barrett reduction constants for reducing 128 bits to the final CRC + print('\t.barrett_reduction_consts = {') + mults = [] + + val = div(1 << (63+n), G) + desc = f'floor(x^{63+n} / G)' + if not lsb: + val = (val << 1) - (1 << 64) + desc = f'({desc} * x) - x^64' + mults.append({ 'val': val, 'desc': desc }) + + val = G - (1 << n) + desc = f'G - x^{n}' + if lsb and n == 64: + assert (val & 1) != 0 # The x^0 term should always be nonzero. + val >>= 1 + desc = f'({desc} - x^0) / x' + else: + pow_of_x = 64 - n - (1 if lsb else 0) + val <<= pow_of_x + desc = f'({desc}) * x^{pow_of_x}' + mults.append({ 'val': val, 'desc': desc }) + + print_mult_pair(v, mults) + print('\t},') + + print('};') + +def parse_crc_variants(vars_string): + variants = [] + for var_string in vars_string.split(','): + bits, bit_order, generator_poly = var_string.split('_') + assert bits.startswith('crc') + bits = int(bits.removeprefix('crc')) + assert generator_poly.startswith('0x') + generator_poly = generator_poly.removeprefix('0x') + assert len(generator_poly) % 2 == 0 + generator_poly = int(generator_poly, 16) + variants.append(CrcVariant(bits, generator_poly, bit_order)) + return variants + +if len(sys.argv) != 3: + sys.stderr.write(f'Usage: {sys.argv[0]} CONSTS_TYPE[,CONSTS_TYPE]... CRC_VARIANT[,CRC_VARIANT]...\n') + sys.stderr.write(' CONSTS_TYPE can be sliceby[1-8], riscv_clmul, or x86_pclmul\n') + sys.stderr.write(' CRC_VARIANT is crc${num_bits}_${bit_order}_${generator_poly_as_hex}\n') + sys.stderr.write(' E.g. crc16_msb_0x8bb7 or crc32_lsb_0xedb88320\n') + sys.stderr.write(' Polynomial must use the given bit_order and exclude x^{num_bits}\n') + sys.exit(1) + +print('/* SPDX-License-Identifier: GPL-2.0-or-later */') +print('/*') +print(' * CRC constants generated by:') +print(' *') +print(f' *\t{sys.argv[0]} {" ".join(sys.argv[1:])}') +print(' *') +print(' * Do not edit manually.') +print(' */') +consts_types = sys.argv[1].split(',') +variants = parse_crc_variants(sys.argv[2]) +for consts_type in consts_types: + if consts_type.startswith('sliceby'): + gen_slicebyN_tables(variants, int(consts_type.removeprefix('sliceby'))) + elif consts_type == 'riscv_clmul': + gen_riscv_clmul_consts(variants) + elif consts_type == 'x86_pclmul': + gen_x86_pclmul_consts(variants) + else: + raise ValueError(f'Unknown consts_type: {consts_type}') |