From 11da511c784eca003deb90c23570f0873954e0de Mon Sep 17 00:00:00 2001
From: Duncan Wilkie <antigravityd@gmail.com>
Date: Sat, 18 Nov 2023 06:11:09 -0600
Subject: Initial commit.

---
 gmp-6.3.0/mpz/primorial_ui.c | 131 +++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 131 insertions(+)
 create mode 100644 gmp-6.3.0/mpz/primorial_ui.c

(limited to 'gmp-6.3.0/mpz/primorial_ui.c')

diff --git a/gmp-6.3.0/mpz/primorial_ui.c b/gmp-6.3.0/mpz/primorial_ui.c
new file mode 100644
index 0000000..b1176c7
--- /dev/null
+++ b/gmp-6.3.0/mpz/primorial_ui.c
@@ -0,0 +1,131 @@
+/* mpz_primorial_ui(RES, N) -- Set RES to N# the product of primes <= N.
+
+Contributed to the GNU project by Marco Bodrato.
+
+Copyright 2012, 2015, 2016, 2021 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 "gmp-impl.h"
+
+/* TODO: Remove duplicated constants / macros / static functions...
+ */
+
+/*************************************************************/
+/* Section macros: common macros, for swing/fac/bin (&sieve) */
+/*************************************************************/
+
+#define FACTOR_LIST_STORE(P, PR, MAX_PR, VEC, I)		\
+  do {								\
+    if ((PR) > (MAX_PR)) {					\
+      (VEC)[(I)++] = (PR);					\
+      (PR) = (P);						\
+    } else							\
+      (PR) *= (P);						\
+  } while (0)
+
+/*********************************************************/
+/* Section sieve: sieving functions and tools for primes */
+/*********************************************************/
+
+#if WANT_ASSERT
+/* n_to_bit (n) = ((n-1)&(-CNST_LIMB(2)))/3U-1 */
+static mp_limb_t
+n_to_bit (mp_limb_t n) { return ((n-5)|1)/3U; }
+
+static mp_size_t
+primesieve_size (mp_limb_t n) { return n_to_bit(n) / GMP_LIMB_BITS + 1; }
+#endif
+
+/*********************************************************/
+/* Section primorial: implementation                     */
+/*********************************************************/
+
+void
+mpz_primorial_ui (mpz_ptr res, unsigned long n)
+{
+  ASSERT (n <= GMP_NUMB_MAX);
+
+  if (n < 5)
+    {
+      /* The smallest 5 results for primorial are stored */
+      /* in a 15-bits constant (five octal digits)	 */
+      MPZ_NEWALLOC (res, 1)[0] = (066211 >> (n * 3)) & 7;
+      SIZ (res) = 1;
+    }
+  else
+    {
+      mp_limb_t *sieve, *factors;
+      mp_size_t size, j;
+      mp_limb_t prod;
+      TMP_DECL;
+
+      /* Try to estimate the result size, to avoid	*/
+      /* resizing, and to initially store the sieve.	*/
+      size = n / GMP_NUMB_BITS;
+      size = size + (size >> 1) + 1;
+      ASSERT (size >= primesieve_size (n));
+      sieve = MPZ_NEWALLOC (res, size);
+      size = (gmp_primesieve (sieve, n) + 1) / log_n_max (n) + 1;
+
+      TMP_MARK;
+      factors = TMP_ALLOC_LIMBS (size);
+
+      j = 0;
+
+      prod = 6;
+
+      /* Store primes from 5 to n */
+      {
+	mp_limb_t max_prod;
+
+	max_prod = GMP_NUMB_MAX / n;
+
+	/* Loop on sieved primes. */
+	for (mp_limb_t i = 4, *sp = sieve; i < n; i += GMP_LIMB_BITS * 3)
+	  for (mp_limb_t b = i, x = ~ *(sp++); x != 0; b += 3, x >>= 1)
+	    if (x & 1)
+	      {
+		mp_limb_t prime = b | 1;
+		FACTOR_LIST_STORE (prime, prod, max_prod, factors, j);
+	      }
+      }
+
+      if (j != 0)
+	{
+	  factors[j++] = prod;
+	  mpz_prodlimbs (res, factors, j);
+	}
+      else
+	{
+	  PTR (res)[0] = prod;
+	  SIZ (res) = 1;
+	}
+
+      TMP_FREE;
+    }
+}
-- 
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