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+/* makecrct.c -- output crc32 tables
+ * Copyright (C) 1995-2022 Mark Adler
+ * For conditions of distribution and use, see copyright notice in zlib.h
+*/
+
+#include <stdio.h>
+#include <inttypes.h>
+#include "zbuild.h"
+#include "zutil.h"
+
+/*
+ The crc32 table header file contains tables for both 32-bit and 64-bit
+ z_word_t's, and so requires a 64-bit type be available. In that case,
+ z_word_t must be defined to be 64-bits. This code then also generates
+ and writes out the tables for the case that z_word_t is 32 bits.
+*/
+
+#define POLY 0xedb88320 /* p(x) reflected, with x^32 implied */
+#define BRAID_W 8 /* Need a 64-bit integer type in order to generate crc32 tables. */
+typedef uint64_t z_word_t;
+
+static uint32_t crc_table[256];
+static z_word_t crc_big_table[256];
+static uint32_t x2n_table[32];
+
+#include "crc32_braid_comb_p.h"
+
+static void make_crc_table(void);
+static void print_crc_table(void);
+
+static void braid(uint32_t ltl[][256], z_word_t big[][256], int n, int w);
+
+static void write_table(const uint32_t *table, int k);
+static void write_table32hi(const z_word_t *table, int k);
+static void write_table64(const z_word_t *table, int k);
+
+/* ========================================================================= */
+/*
+ Generate tables for a byte-wise 32-bit CRC calculation on the polynomial:
+ x^32+x^26+x^23+x^22+x^16+x^12+x^11+x^10+x^8+x^7+x^5+x^4+x^2+x+1.
+
+ Polynomials over GF(2) are represented in binary, one bit per coefficient,
+ with the lowest powers in the most significant bit. Then adding polynomials
+ is just exclusive-or, and multiplying a polynomial by x is a right shift by
+ one. If we call the above polynomial p, and represent a byte as the
+ polynomial q, also with the lowest power in the most significant bit (so the
+ byte 0xb1 is the polynomial x^7+x^3+x^2+1), then the CRC is (q*x^32) mod p,
+ where a mod b means the remainder after dividing a by b.
+
+ This calculation is done using the shift-register method of multiplying and
+ taking the remainder. The register is initialized to zero, and for each
+ incoming bit, x^32 is added mod p to the register if the bit is a one (where
+ x^32 mod p is p+x^32 = x^26+...+1), and the register is multiplied mod p by x
+ (which is shifting right by one and adding x^32 mod p if the bit shifted out
+ is a one). We start with the highest power (least significant bit) of q and
+ repeat for all eight bits of q.
+
+ The table is simply the CRC of all possible eight bit values. This is all the
+ information needed to generate CRCs on data a byte at a time for all
+ combinations of CRC register values and incoming bytes.
+*/
+static void make_crc_table(void) {
+ unsigned i, j, n;
+ uint32_t p;
+
+ /* initialize the CRC of bytes tables */
+ for (i = 0; i < 256; i++) {
+ p = i;
+ for (j = 0; j < 8; j++)
+ p = p & 1 ? (p >> 1) ^ POLY : p >> 1;
+ crc_table[i] = p;
+ crc_big_table[i] = ZSWAP64(p);
+ }
+
+ /* initialize the x^2^n mod p(x) table */
+ p = (uint32_t)1 << 30; /* x^1 */
+ x2n_table[0] = p;
+ for (n = 1; n < 32; n++)
+ x2n_table[n] = p = multmodp(p, p);
+}
+
+/*
+ Generate the little and big-endian braid tables for the given n and z_word_t
+ size w. Each array must have room for w blocks of 256 elements.
+ */
+static void braid(uint32_t ltl[][256], z_word_t big[][256], int n, int w) {
+ int k;
+ uint32_t i, p, q;
+ for (k = 0; k < w; k++) {
+ p = x2nmodp(((z_off64_t)n * w + 3 - k) << 3, 0);
+ ltl[k][0] = 0;
+ big[w - 1 - k][0] = 0;
+ for (i = 1; i < 256; i++) {
+ ltl[k][i] = q = multmodp(i << 24, p);
+ big[w - 1 - k][i] = ZSWAP64(q);
+ }
+ }
+}
+
+/*
+ Write the 32-bit values in table[0..k-1] to out, five per line in
+ hexadecimal separated by commas.
+ */
+static void write_table(const uint32_t *table, int k) {
+ int n;
+
+ for (n = 0; n < k; n++)
+ printf("%s0x%08" PRIx32 "%s", n == 0 || n % 5 ? "" : " ",
+ (uint32_t)(table[n]),
+ n == k - 1 ? "" : (n % 5 == 4 ? ",\n" : ", "));
+}
+
+/*
+ Write the high 32-bits of each value in table[0..k-1] to out, five per line
+ in hexadecimal separated by commas.
+ */
+static void write_table32hi(const z_word_t *table, int k) {
+ int n;
+
+ for (n = 0; n < k; n++)
+ printf("%s0x%08" PRIx32 "%s", n == 0 || n % 5 ? "" : " ",
+ (uint32_t)(table[n] >> 32),
+ n == k - 1 ? "" : (n % 5 == 4 ? ",\n" : ", "));
+}
+
+/*
+ Write the 64-bit values in table[0..k-1] to out, three per line in
+ hexadecimal separated by commas. This assumes that if there is a 64-bit
+ type, then there is also a long long integer type, and it is at least 64
+ bits. If not, then the type cast and format string can be adjusted
+ accordingly.
+ */
+static void write_table64(const z_word_t *table, int k) {
+ int n;
+
+ for (n = 0; n < k; n++)
+ printf("%s0x%016" PRIx64 "%s", n == 0 || n % 3 ? "" : " ",
+ (uint64_t)(table[n]),
+ n == k - 1 ? "" : (n % 3 == 2 ? ",\n" : ", "));
+}
+
+static void print_crc_table(void) {
+ int k, n;
+ uint32_t ltl[8][256];
+ z_word_t big[8][256];
+
+ printf("#ifndef CRC32_BRAID_TBL_H_\n");
+ printf("#define CRC32_BRAID_TBL_H_\n\n");
+ printf("/* crc32_braid_tbl.h -- tables for braided CRC calculation\n");
+ printf(" * Generated automatically by makecrct.c\n */\n\n");
+
+ /* print little-endian CRC table */
+ printf("static const uint32_t crc_table[] = {\n");
+ printf(" ");
+ write_table(crc_table, 256);
+ printf("};\n\n");
+
+ /* print big-endian CRC table for 64-bit z_word_t */
+ printf("#ifdef BRAID_W\n");
+ printf("# if BRAID_W == 8\n\n");
+ printf("static const z_word_t crc_big_table[] = {\n");
+ printf(" ");
+ write_table64(crc_big_table, 256);
+ printf("};\n\n");
+
+ /* print big-endian CRC table for 32-bit z_word_t */
+ printf("# else /* BRAID_W == 4 */\n\n");
+ printf("static const z_word_t crc_big_table[] = {\n");
+ printf(" ");
+ write_table32hi(crc_big_table, 256);
+ printf("};\n\n");
+ printf("# endif\n");
+ printf("#endif /* BRAID_W */\n\n");
+
+ /* write out braid tables for each value of N */
+ for (n = 1; n <= 6; n++) {
+ printf("#if BRAID_N == %d\n", n);
+
+ /* compute braid tables for this N and 64-bit word_t */
+ braid(ltl, big, n, 8);
+
+ /* write out braid tables for 64-bit z_word_t */
+ printf("# if BRAID_W == 8\n\n");
+ printf("static const uint32_t crc_braid_table[][256] = {\n");
+ for (k = 0; k < 8; k++) {
+ printf(" {");
+ write_table(ltl[k], 256);
+ printf("}%s", k < 7 ? ",\n" : "");
+ }
+ printf("};\n\n");
+ printf("static const z_word_t crc_braid_big_table[][256] = {\n");
+ for (k = 0; k < 8; k++) {
+ printf(" {");
+ write_table64(big[k], 256);
+ printf("}%s", k < 7 ? ",\n" : "");
+ }
+ printf("};\n");
+
+ /* compute braid tables for this N and 32-bit word_t */
+ braid(ltl, big, n, 4);
+
+ /* write out braid tables for 32-bit z_word_t */
+ printf("\n");
+ printf("# else /* BRAID_W == 4 */\n\n");
+ printf("static const uint32_t crc_braid_table[][256] = {\n");
+ for (k = 0; k < 4; k++) {
+ printf(" {");
+ write_table(ltl[k], 256);
+ printf("}%s", k < 3 ? ",\n" : "");
+ }
+ printf("};\n\n");
+ printf("static const z_word_t crc_braid_big_table[][256] = {\n");
+ for (k = 0; k < 4; k++) {
+ printf(" {");
+ write_table32hi(big[k], 256);
+ printf("}%s", k < 3 ? ",\n" : "");
+ }
+ printf("};\n\n");
+ printf("# endif /* BRAID_W */\n");
+ printf("#endif /* BRAID_N == %d */\n", n);
+ }
+ printf("\n");
+
+ /* write out zeros operator table */
+ printf("static const uint32_t x2n_table[] = {\n");
+ printf(" ");
+ write_table(x2n_table, 32);
+ printf("};\n");
+
+ printf("\n");
+ printf("#endif /* CRC32_BRAID_TBL_H_ */\n");
+}
+
+// The output of this application can be piped out to recreate crc32 tables
+int main(int argc, char *argv[]) {
+ Z_UNUSED(argc);
+ Z_UNUSED(argv);
+
+ make_crc_table();
+ print_crc_table();
+ return 0;
+}