1 files changed, 285 insertions, 0 deletions
diff --git a/vendor/gmp-6.3.0/gen-fac.c b/vendor/gmp-6.3.0/gen-fac.c
new file mode 100644
index 0000000..93ebf7b
--- /dev/null
+++ b/vendor/gmp-6.3.0/gen-fac.c
@@ -0,0 +1,285 @@
+/* Generate data for combinatorics: fac_ui, bin_uiui, ...
+
+Copyright 2002, 2011-2016 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library.
+
+The GNU MP Library is free software; you can redistribute it and/or modify
+it under the terms of either:
+
+  * the GNU Lesser General Public License as published by the Free
+    Software Foundation; either version 3 of the License, or (at your
+    option) any later version.
+
+or
+
+  * the GNU General Public License as published by the Free Software
+    Foundation; either version 2 of the License, or (at your option) any
+    later version.
+
+or both in parallel, as here.
+
+The GNU MP Library is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received copies of the GNU General Public License and the
+GNU Lesser General Public License along with the GNU MP Library.  If not,
+see https://www.gnu.org/licenses/.  */
+
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "bootstrap.c"
+
+int
+mpz_remove_twos (mpz_t x)
+{
+  mp_bitcnt_t r = mpz_scan1(x, 0);
+  mpz_tdiv_q_2exp (x, x, r);
+  return r;
+}
+
+/* returns 0 on success		*/
+int
+gen_consts (unsigned numb, unsigned limb)
+{
+  mpz_t x, mask, y, last;
+  unsigned long a, b;
+  unsigned long ofl, ofe;
+
+  printf ("/* This file is automatically generated by gen-fac.c */\n\n");
+  printf ("#if GMP_NUMB_BITS != %u\n", numb);
+  printf ("Error , error this data is for %u GMP_NUMB_BITS only\n", numb);
+  printf ("#endif\n");
+#if 0
+  printf ("#if GMP_LIMB_BITS != %u\n", limb);
+  printf ("Error , error this data is for %u GMP_LIMB_BITS only\n", limb);
+  printf ("#endif\n");
+#endif
+
+  printf
+    ("/* This table is 0!,1!,2!,3!,...,n! where n! has <= GMP_NUMB_BITS bits */\n");
+  printf
+    ("#define ONE_LIMB_FACTORIAL_TABLE CNST_LIMB(0x1),CNST_LIMB(0x1");
+  mpz_init_set_ui (x, 1);
+  mpz_init (last);
+  for (b = 2;; b++)
+    {
+      mpz_mul_ui (x, x, b);	/* so b!=a       */
+      if (mpz_sizeinbase (x, 2) > numb)
+	break;
+      printf ("),CNST_LIMB(0x");
+      mpz_out_str (stdout, 16, x);
+    }
+  printf (")\n");
+
+  printf
+    ("\n/* This table is 0!,1!,2!/2,3!/2,...,n!/2^sn where n!/2^sn is an */\n");
+  printf
+    ("/* odd integer for each n, and n!/2^sn has <= GMP_NUMB_BITS bits */\n");
+  printf
+    ("#define ONE_LIMB_ODD_FACTORIAL_TABLE CNST_LIMB(0x1),CNST_LIMB(0x1),CNST_LIMB(0x1");
+  mpz_set_ui (x, 1);
+  for (b = 3;; b++)
+    {
+      for (a = b; (a & 1) == 0; a >>= 1);
+      mpz_swap (last, x);
+      mpz_mul_ui (x, last, a);
+      if (mpz_sizeinbase (x, 2) > numb)
+	break;
+      printf ("),CNST_LIMB(0x");
+      mpz_out_str (stdout, 16, x);
+    }
+  printf (")\n");
+  printf
+    ("#define ODD_FACTORIAL_TABLE_MAX CNST_LIMB(0x");
+  mpz_out_str (stdout, 16, last);
+  printf (")\n");
+
+  ofl = b - 1;
+  printf
+    ("#define ODD_FACTORIAL_TABLE_LIMIT (%lu)\n", ofl);
+  mpz_init (mask);
+  mpz_setbit (mask, numb);
+  mpz_sub_ui (mask, mask, 1);
+  printf
+    ("\n/* Previous table, continued, values modulo 2^GMP_NUMB_BITS */\n");
+  printf
+    ("#define ONE_LIMB_ODD_FACTORIAL_EXTTABLE CNST_LIMB(0x");
+  mpz_and (x, x, mask);
+  mpz_out_str (stdout, 16, x);
+  mpz_init (y);
+  mpz_bin_uiui (y, b, b/2);
+  b++;
+  for (;; b++)
+    {
+      for (a = b; (a & 1) == 0; a >>= 1);
+      if (a == b) {
+	mpz_divexact_ui (y, y, a/2+1);
+	mpz_mul_ui (y, y, a);
+      } else
+	mpz_mul_2exp (y, y, 1);
+      if (mpz_sizeinbase (y, 2) > numb)
+	break;
+      mpz_mul_ui (x, x, a);
+      mpz_and (x, x, mask);
+      printf ("),CNST_LIMB(0x");
+      mpz_out_str (stdout, 16, x);
+    }
+  printf (")\n");
+  ofe = b - 1;
+  printf
+    ("#define ODD_FACTORIAL_EXTTABLE_LIMIT (%lu)\n", ofe);
+
+  printf
+    ("\n/* This table is 1!!,3!!,...,(2n+1)!! where (2n+1)!! has <= GMP_NUMB_BITS bits */\n");
+  printf
+    ("#define ONE_LIMB_ODD_DOUBLEFACTORIAL_TABLE CNST_LIMB(0x1");
+  mpz_set_ui (x, 1);
+  for (b = 3;; b+=2)
+    {
+      mpz_swap (last, x);
+      mpz_mul_ui (x, last, b);
+      if (mpz_sizeinbase (x, 2) > numb)
+	break;
+      printf ("),CNST_LIMB(0x");
+      mpz_out_str (stdout, 16, x);
+    }
+  printf (")\n");
+  printf
+    ("#define ODD_DOUBLEFACTORIAL_TABLE_MAX CNST_LIMB(0x");
+  mpz_out_str (stdout, 16, last);
+  printf (")\n");
+
+  printf
+    ("#define ODD_DOUBLEFACTORIAL_TABLE_LIMIT (%lu)\n", b - 2);
+
+  printf
+    ("\n/* This table x_1, x_2,... contains values s.t. x_n^n has <= GMP_NUMB_BITS bits */\n");
+  printf
+    ("#define NTH_ROOT_NUMB_MASK_TABLE (GMP_NUMB_MASK");
+  for (b = 2;b <= 8; b++)
+    {
+      mpz_root (x, mask, b);
+      printf ("),CNST_LIMB(0x");
+      mpz_out_str (stdout, 16, x);
+    }
+  printf (")\n");
+
+  mpz_add_ui (mask, mask, 1);
+  printf
+    ("\n/* This table contains inverses of odd factorials, modulo 2^GMP_NUMB_BITS */\n");
+  printf
+    ("\n/* It begins with (2!/2)^-1=1 */\n");
+  printf
+    ("#define ONE_LIMB_ODD_FACTORIAL_INVERSES_TABLE CNST_LIMB(0x1");
+  mpz_set_ui (x, 1);
+  for (b = 3;b <= ofe - 2; b++)
+    {
+      for (a = b; (a & 1) == 0; a >>= 1);
+      mpz_mul_ui (x, x, a);
+      mpz_invert (y, x, mask);
+      printf ("),CNST_LIMB(0x");
+      mpz_out_str (stdout, 16, y);
+    }
+  printf (")\n");
+
+  ofe = (ofe / 16 + 1) * 16;
+
+  printf
+    ("\n/* This table contains 2n-popc(2n) for small n */\n");
+  printf
+    ("\n/* It begins with 2-1=1 (n=1) */\n");
+  printf
+    ("#define TABLE_2N_MINUS_POPC_2N 1");
+  for (b = 4; b <= ofe; b += 2)
+    {
+      mpz_set_ui (x, b);
+      printf (",%lu",b - mpz_popcount (x));
+    }
+  printf ("\n");
+  printf
+    ("#define TABLE_LIMIT_2N_MINUS_POPC_2N %lu\n", ofe + 1);
+
+
+  ofl = (ofl + 1) / 2;
+  printf
+    ("#define ODD_CENTRAL_BINOMIAL_OFFSET (%lu)\n", ofl);
+  printf
+    ("\n/* This table contains binomial(2k,k)/2^t */\n");
+  printf
+    ("\n/* It begins with ODD_CENTRAL_BINOMIAL_TABLE_MIN */\n");
+  printf
+    ("#define ONE_LIMB_ODD_CENTRAL_BINOMIAL_TABLE ");
+  for (b = ofl;; b++)
+    {
+      mpz_bin_uiui (x, 2 * b, b);
+      mpz_remove_twos (x);
+      if (mpz_sizeinbase (x, 2) > numb)
+	break;
+      if (b != ofl)
+	printf ("),");
+      printf("CNST_LIMB(0x");
+      mpz_out_str (stdout, 16, x);
+    }
+  printf (")\n");
+
+  ofe = b - 1;
+  printf
+    ("#define ODD_CENTRAL_BINOMIAL_TABLE_LIMIT (%lu)\n", ofe);
+
+  printf
+    ("\n/* This table contains the inverses of elements in the previous table. */\n");
+  printf
+    ("#define ONE_LIMB_ODD_CENTRAL_BINOMIAL_INVERSE_TABLE CNST_LIMB(0x");
+  for (b = ofl; b <= ofe; b++)
+    {
+      mpz_bin_uiui (x, 2 * b, b);
+      mpz_remove_twos (x);
+      mpz_invert (x, x, mask);
+      mpz_out_str (stdout, 16, x);
+      if (b != ofe)
+	printf ("),CNST_LIMB(0x");
+    }
+  printf (")\n");
+
+  printf
+    ("\n/* This table contains the values t in the formula binomial(2k,k)/2^t */\n");
+  printf
+    ("#define CENTRAL_BINOMIAL_2FAC_TABLE ");
+  for (b = ofl; b <= ofe; b++)
+    {
+      mpz_bin_uiui (x, 2 * b, b);
+      printf ("%d", mpz_remove_twos (x));
+      if (b != ofe)
+	printf (",");
+    }
+  printf ("\n");
+
+  return 0;
+}
+
+int
+main (int argc, char *argv[])
+{
+  int nail_bits, limb_bits, numb_bits;
+
+  if (argc != 3)
+    {
+      fprintf (stderr, "Usage: gen-fac limbbits nailbits\n");
+      exit (1);
+    }
+  limb_bits = atoi (argv[1]);
+  nail_bits = atoi (argv[2]);
+  numb_bits = limb_bits - nail_bits;
+  if (limb_bits < 2 || nail_bits < 0 || numb_bits < 1)
+    {
+      fprintf (stderr, "Invalid limb/nail bits %d,%d\n", limb_bits,
+	       nail_bits);
+      exit (1);
+    }
+  gen_consts (numb_bits, limb_bits);
+  return 0;
+}