genode/repos/libports/include/spec/64bit/gmp/perfsqr.h

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/* This file generated by gen-psqr.c - DO NOT EDIT. */
#if GMP_LIMB_BITS != 64 || GMP_NAIL_BITS != 0
Error, error, this data is for 64 bit limb and 0 bit nail
#endif
/* Non-zero bit indicates a quadratic residue mod 0x100.
This test identifies 82.81% as non-squares (212/256). */
static const mp_limb_t
sq_res_0x100[4] = {
CNST_LIMB(0x202021202030213),
CNST_LIMB(0x202021202020213),
CNST_LIMB(0x202021202030212),
CNST_LIMB(0x202021202020212),
};
/* 2^48-1 = 3^2 * 5 * 7 * 13 * 17 * 97 ... */
#define PERFSQR_MOD_BITS 49
/* This test identifies 97.81% as non-squares. */
#define PERFSQR_MOD_TEST(up, usize) \
do { \
mp_limb_t r; \
PERFSQR_MOD_34 (r, up, usize); \
\
/* 69.23% */ \
PERFSQR_MOD_2 (r, CNST_LIMB(91), CNST_LIMB(0xfd2fd2fd2fd3), \
CNST_LIMB(0x2191240), CNST_LIMB(0x8850a206953820e1)); \
\
/* 68.24% */ \
PERFSQR_MOD_2 (r, CNST_LIMB(85), CNST_LIMB(0xfcfcfcfcfcfd), \
CNST_LIMB(0x82158), CNST_LIMB(0x10b48c4b4206a105)); \
\
/* 55.56% */ \
PERFSQR_MOD_1 (r, CNST_LIMB( 9), CNST_LIMB(0xe38e38e38e39), \
CNST_LIMB(0x93)); \
\
/* 49.48% */ \
PERFSQR_MOD_2 (r, CNST_LIMB(97), CNST_LIMB(0xfd5c5f02a3a1), \
CNST_LIMB(0x1eb628b47), CNST_LIMB(0x6067981b8b451b5f)); \
} while (0)
/* Grand total sq_res_0x100 and PERFSQR_MOD_TEST, 99.62% non-squares. */
/* helper for tests/mpz/t-perfsqr.c */
#define PERFSQR_DIVISORS { 256, 91, 85, 9, 97, }