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-rw-r--r--contrib/libgmp/mpn/generic/perfsqr.c138
1 files changed, 138 insertions, 0 deletions
diff --git a/contrib/libgmp/mpn/generic/perfsqr.c b/contrib/libgmp/mpn/generic/perfsqr.c
new file mode 100644
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+/* mpn_perfect_square_p(u,usize) -- Return non-zero if U is a perfect square,
+ zero otherwise.
+
+Copyright (C) 1991, 1993, 1994, 1996 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 the GNU Library General Public License as published by
+the Free Software Foundation; either version 2 of the License, or (at your
+option) any later version.
+
+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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "longlong.h"
+
+#ifndef UMUL_TIME
+#define UMUL_TIME 1
+#endif
+
+#ifndef UDIV_TIME
+#define UDIV_TIME UMUL_TIME
+#endif
+
+#if BITS_PER_MP_LIMB == 32
+#define PP 0xC0CFD797L /* 3 x 5 x 7 x 11 x 13 x ... x 29 */
+#define PP_INVERTED 0x53E5645CL
+#endif
+
+#if BITS_PER_MP_LIMB == 64
+#define PP 0xE221F97C30E94E1DL /* 3 x 5 x 7 x 11 x 13 x ... x 53 */
+#define PP_INVERTED 0x21CFE6CFC938B36BL
+#endif
+
+/* sq_res_0x100[x mod 0x100] == 1 iff x mod 0x100 is a quadratic residue
+ modulo 0x100. */
+static unsigned char const sq_res_0x100[0x100] =
+{
+ 1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
+ 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
+ 1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
+ 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
+ 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
+ 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
+ 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
+ 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
+};
+
+int
+#if __STDC__
+mpn_perfect_square_p (mp_srcptr up, mp_size_t usize)
+#else
+mpn_perfect_square_p (up, usize)
+ mp_srcptr up;
+ mp_size_t usize;
+#endif
+{
+ mp_limb_t rem;
+ mp_ptr root_ptr;
+ int res;
+ TMP_DECL (marker);
+
+ /* The first test excludes 55/64 (85.9%) of the perfect square candidates
+ in O(1) time. */
+ if ((sq_res_0x100[(unsigned int) up[0] % 0x100] & 1) == 0)
+ return 0;
+
+#if defined (PP)
+ /* The second test excludes 30652543/30808063 (99.5%) of the remaining
+ perfect square candidates in O(n) time. */
+
+ /* Firstly, compute REM = A mod PP. */
+ if (UDIV_TIME > (2 * UMUL_TIME + 6))
+ rem = mpn_preinv_mod_1 (up, usize, (mp_limb_t) PP, (mp_limb_t) PP_INVERTED);
+ else
+ rem = mpn_mod_1 (up, usize, (mp_limb_t) PP);
+
+ /* Now decide if REM is a quadratic residue modulo the factors in PP. */
+
+ /* If A is just a few limbs, computing the square root does not take long
+ time, so things might run faster if we limit this loop according to the
+ size of A. */
+
+#if BITS_PER_MP_LIMB == 64
+ if (((0x12DD703303AED3L >> rem % 53) & 1) == 0)
+ return 0;
+ if (((0x4351B2753DFL >> rem % 47) & 1) == 0)
+ return 0;
+ if (((0x35883A3EE53L >> rem % 43) & 1) == 0)
+ return 0;
+ if (((0x1B382B50737L >> rem % 41) & 1) == 0)
+ return 0;
+ if (((0x165E211E9BL >> rem % 37) & 1) == 0)
+ return 0;
+ if (((0x121D47B7L >> rem % 31) & 1) == 0)
+ return 0;
+#endif
+ if (((0x13D122F3L >> rem % 29) & 1) == 0)
+ return 0;
+ if (((0x5335FL >> rem % 23) & 1) == 0)
+ return 0;
+ if (((0x30AF3L >> rem % 19) & 1) == 0)
+ return 0;
+ if (((0x1A317L >> rem % 17) & 1) == 0)
+ return 0;
+ if (((0x161BL >> rem % 13) & 1) == 0)
+ return 0;
+ if (((0x23BL >> rem % 11) & 1) == 0)
+ return 0;
+ if (((0x017L >> rem % 7) & 1) == 0)
+ return 0;
+ if (((0x13L >> rem % 5) & 1) == 0)
+ return 0;
+ if (((0x3L >> rem % 3) & 1) == 0)
+ return 0;
+#endif
+
+ TMP_MARK (marker);
+
+ /* For the third and last test, we finally compute the square root,
+ to make sure we've really got a perfect square. */
+ root_ptr = (mp_ptr) TMP_ALLOC ((usize + 1) / 2 * BYTES_PER_MP_LIMB);
+
+ /* Iff mpn_sqrtrem returns zero, the square is perfect. */
+ res = ! mpn_sqrtrem (root_ptr, NULL, up, usize);
+ TMP_FREE (marker);
+ return res;
+}
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