Add Chromium-only Blender WebEngine parity work

blender-5.2.0/extern/gmp-source/tests/mpz/t-bin.c

@@ -0,0 +1,328 @@
+/* Exercise mpz_bin_ui and mpz_bin_uiui.
+
+Copyright 2000, 2001, 2010, 2012, 2018, 2020 Free Software Foundation, Inc.
+
+This file is part of the GNU MP Library test suite.
+
+The GNU MP Library test suite is free software; you can redistribute it
+and/or modify it under the terms of the GNU General Public License as
+published by the Free Software Foundation; either version 3 of the License,
+or (at your option) any later version.
+
+The GNU MP Library test suite 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 a copy of the GNU General Public License along with
+the GNU MP Library test suite.  If not, see https://www.gnu.org/licenses/.  */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include "gmp-impl.h"
+#include "tests.h"
+
+/* Default number of generated tests. */
+#define COUNT 700
+
+void
+try_mpz_bin_ui (mpz_srcptr want, mpz_srcptr n, unsigned long k)
+{
+  mpz_t  got;
+
+  mpz_init (got);
+  mpz_bin_ui (got, n, k);
+  MPZ_CHECK_FORMAT (got);
+  if (mpz_cmp (got, want) != 0)
+    {
+      printf ("mpz_bin_ui wrong\n");
+      printf ("  n="); mpz_out_str (stdout, 10, n); printf ("\n");
+      printf ("  k=%lu\n", k);
+      printf ("  got="); mpz_out_str (stdout, 10, got); printf ("\n");
+      printf ("  want="); mpz_out_str (stdout, 10, want); printf ("\n");
+      abort();
+    }
+  mpz_clear (got);
+}
+
+
+void
+try_mpz_bin_uiui (mpz_srcptr want, unsigned long n, unsigned long k)
+{
+  mpz_t  got;
+
+  mpz_init (got);
+  mpz_bin_uiui (got, n, k);
+  MPZ_CHECK_FORMAT (got);
+  if (mpz_cmp (got, want) != 0)
+    {
+      printf ("mpz_bin_uiui wrong\n");
+      printf ("  n=%lu\n", n);
+      printf ("  k=%lu\n", k);
+      printf ("  got="); mpz_out_str (stdout, 10, got); printf ("\n");
+      printf ("  want="); mpz_out_str (stdout, 10, want); printf ("\n");
+      abort();
+    }
+  mpz_clear (got);
+}
+
+
+void
+samples (void)
+{
+  static const struct {
+    const char     *n;
+    unsigned long  k;
+    const char     *want;
+  } data[] = {
+
+    {   "0", 123456, "0" },
+    {   "1", 543210, "0" },
+    {   "2", 123321, "0" },
+    {   "3", 234567, "0" },
+    {   "10", 23456, "0" },
+
+    /* negatives, using bin(-n,k)=bin(n+k-1,k) */
+    {   "-1",  0,  "1"  },
+    {   "-1",  1, "-1"  },
+    {   "-1",  2,  "1"  },
+    {   "-1",  3, "-1"  },
+    {   "-1",  4,  "1"  },
+
+    {   "-2",  0,  "1"  },
+    {   "-2",  1, "-2"  },
+    {   "-2",  2,  "3"  },
+    {   "-2",  3, "-4"  },
+    {   "-2",  4,  "5"  },
+    {   "-2",  5, "-6"  },
+    {   "-2",  6,  "7"  },
+
+    {   "-3",  0,   "1"  },
+    {   "-3",  1,  "-3"  },
+    {   "-3",  2,   "6"  },
+    {   "-3",  3, "-10"  },
+    {   "-3",  4,  "15"  },
+    {   "-3",  5, "-21"  },
+    {   "-3",  6,  "28"  },
+
+    /* A few random values */
+    {   "41", 20,  "269128937220" },
+    {   "62", 37,  "147405545359541742" },
+    {   "50", 18,  "18053528883775" },
+    {  "149", 21,  "19332950844468483467894649" },
+  };
+
+  mpz_t  n, want;
+  int    i;
+
+  mpz_init (n);
+  mpz_init (want);
+
+  for (i = 0; i < numberof (data); i++)
+    {
+      mpz_set_str_or_abort (n, data[i].n, 0);
+      mpz_set_str_or_abort (want, data[i].want, 0);
+
+      try_mpz_bin_ui (want, n, data[i].k);
+
+      if (mpz_fits_ulong_p (n))
+	try_mpz_bin_uiui (want, mpz_get_ui (n), data[i].k);
+    }
+
+  mpz_clear (n);
+  mpz_clear (want);
+}
+
+
+/* Test some bin(2k,k) cases.  This produces some biggish numbers to
+   exercise the limb accumulating code.  */
+void
+twos (int count)
+{
+  mpz_t          n, want;
+  unsigned long  k;
+
+  mpz_init (n);
+
+  mpz_init_set_ui (want, (unsigned long) 2);
+  for (k = 1; k < count; k++)
+    {
+      mpz_set_ui (n, 2*k);
+      try_mpz_bin_ui (want, n, k);
+
+      try_mpz_bin_uiui (want, 2*k, k);
+
+      mpz_mul_ui (want, want, 2*(2*k+1));
+      mpz_fdiv_q_ui (want, want, k+1);
+    }
+
+  mpz_clear (n);
+  mpz_clear (want);
+}
+
+/* Test some random bin(n,k) cases.  This produces some biggish
+   numbers to exercise the limb accumulating code.  */
+void
+randomwalk (int count)
+{
+  mpz_t          n_z, want, tmp;
+  unsigned long  n, k, i, r;
+  int            tests;
+  gmp_randstate_ptr rands;
+
+  rands = RANDS;
+  mpz_init (n_z);
+
+  k = 3;
+  n = 12;
+  mpz_init_set_ui (want, (unsigned long) 220); /* binomial(12,3) = 220 */
+
+  for (tests = 1; tests < count; tests++)
+    {
+      r = gmp_urandomm_ui (rands, 62) + 1;
+      for (i = r & 7; i > 0; i--)
+	{
+	  n++; k++;
+	  mpz_mul_ui (want, want, n);
+	  mpz_divexact_ui (want, want, k);
+	}
+      for (i = r >> 3; i > 0; i--)
+	{
+	  n++;
+	  mpz_mul_ui (want, want, n);
+	  mpz_divexact_ui (want, want, n - k);
+	}
+
+      mpz_set_ui (n_z, n);
+      try_mpz_bin_ui (want, n_z, k);
+
+      try_mpz_bin_uiui (want, n, k);
+    }
+
+  k = 2;
+  mpz_urandomb (n_z, rands, 200);
+  mpz_mul (want, n_z, n_z); /* want = n_z ^ 2 */
+  mpz_sub (want, want, n_z); /* want = n_z ^ 2 - n_z = n_z (n_z- 1) */
+  mpz_tdiv_q_2exp (want, want, 1); /* want = n_z (n_z- 1) / 2 = binomial (n_z, 2) */
+  mpz_init (tmp);
+  for (tests = 1; tests < count; tests++)
+    {
+      r = gmp_urandomm_ui (rands, 62) + 1;
+      for (i = r & 7; i > 0; i--)
+	{
+	  k++;
+	  mpz_add_ui (n_z, n_z, 1);
+	  mpz_mul (want, want, n_z);
+	  mpz_divexact_ui (want, want, k);
+	}
+      for (i = r >> 3; i > 0; i--)
+	{
+	  mpz_add_ui (n_z, n_z, 1);
+	  mpz_mul (want, want, n_z);
+	  mpz_sub_ui (tmp, n_z, k);
+	  mpz_divexact (want, want, tmp);
+	}
+
+      try_mpz_bin_ui (want, n_z, k);
+    }
+
+  mpz_clear (tmp);
+  mpz_clear (n_z);
+  mpz_clear (want);
+}
+
+/* Test some random bin(n,k) cases.  This produces some biggish
+   numbers to exercise the limb accumulating code.  */
+void
+randomwalk_down (int count)
+{
+  mpz_t          n_z, want, tmp;
+  unsigned long  n, k, i, r;
+  int            tests;
+  gmp_randstate_ptr rands;
+
+  rands = RANDS;
+  mpz_init (n_z);
+  mpz_init (tmp);
+
+  k = 2;
+  n = ULONG_MAX;
+  mpz_init_set_ui (want, n);
+  mpz_mul_ui (want, want, n >> 1);
+
+  for (tests = 1; tests < count; tests++)
+    {
+      r = gmp_urandomm_ui (rands, 62) + 1;
+      for (i = r & 7; i > 0; i--)
+	{
+	  mpz_mul_ui (want, want, n - k);
+	  ++k;
+	  mpz_divexact_ui (want, want, k);
+	}
+      for (i = r >> 3; i > 0; i--)
+	{
+	  mpz_mul_ui (want, want, n - k);
+	  mpz_divexact_ui (want, want, n);
+	  --n;
+	}
+
+      mpz_set_ui (n_z, n);
+      try_mpz_bin_ui (want, n_z, n - k);
+
+      try_mpz_bin_uiui (want, n, n - k);
+    }
+
+  mpz_clear (tmp);
+  mpz_clear (n_z);
+  mpz_clear (want);
+}
+
+
+/* Test all bin(n,k) cases, with 0 <= k <= n + 1 <= count.  */
+void
+smallexaustive (unsigned int count)
+{
+  mpz_t          n_z, want;
+  unsigned long  n, k;
+
+  mpz_init (n_z);
+  mpz_init (want);
+
+  for (n = 0; n < count; n++)
+    {
+      mpz_set_ui (want, (unsigned long) 1);
+      mpz_set_ui (n_z, n);
+      for (k = 0; k <= n; k++)
+	{
+	  try_mpz_bin_ui (want, n_z, k);
+	  try_mpz_bin_uiui (want, n, k);
+	  mpz_mul_ui (want, want, n - k);
+	  mpz_fdiv_q_ui (want, want, k + 1);
+	}
+      try_mpz_bin_ui (want, n_z, k);
+      try_mpz_bin_uiui (want, n, k);
+    }
+
+  mpz_clear (n_z);
+  mpz_clear (want);
+}
+
+int
+main (int argc, char **argv)
+{
+  int count;
+
+  count = COUNT;
+  TESTS_REPS (count, argv, argc);
+
+  tests_start ();
+
+  samples ();
+  smallexaustive (count >> 4);
+  twos (count >> 1);
+  randomwalk (count - (count >> 1));
+  randomwalk_down (count >> 1);
+
+  tests_end ();
+  exit (0);
+}